id	sid	tid	token	lemma	pos
cana-4932	1	1	communications	communication	NOUN
cana-4932	1	2	on	on	ADP
cana-4932	1	3	applied	apply	VERB
cana-4932	1	4	nonlinear	nonlinear	ADJ
cana-4932	1	5	analysis	analysis	NOUN
cana-4932	1	6	issn	issn	NOUN
cana-4932	1	7	:	:	PUNCT
cana-4932	1	8	1074	1074	NUM
cana-4932	1	9	-	-	PUNCT
cana-4932	1	10	133x	133x	NUM
cana-4932	1	11	vol	vol	VERB
cana-4932	1	12	32	32	NUM
cana-4932	1	13	no	no	NOUN
cana-4932	1	14	.	.	PUNCT
cana-4932	2	1	10s	10	NOUN
cana-4932	2	2	(	(	PUNCT
cana-4932	2	3	2025	2025	NUM
cana-4932	2	4	)	)	PUNCT
cana-4932	2	5	977	977	NUM
cana-4932	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	2	7	resource	resource	NOUN
cana-4932	2	8	allocation	allocation	NOUN
cana-4932	2	9	in	in	ADP
cana-4932	2	10	cognitive	cognitive	ADJ
cana-4932	2	11	radio	radio	NOUN
cana-4932	2	12	5	5	NUM
cana-4932	2	13	g	g	PROPN
cana-4932	2	14	massive	massive	ADJ
cana-4932	2	15	mimo	mimo	PROPN
cana-4932	2	16	noma	noma	PROPN
cana-4932	2	17	systems	systems	PROPN
cana-4932	2	18	sahar	sahar	PROPN
cana-4932	2	19	mohammed	mohammed	PROPN
cana-4932	2	20	madhloom	madhloom	PROPN
cana-4932	2	21	al	al	PROPN
cana-4932	2	22	-	-	PUNCT
cana-4932	2	23	inizi1,2	inizi1,2	PROPN
cana-4932	2	24	,	,	PUNCT
cana-4932	2	25	mohsen	mohsen	PROPN
cana-4932	2	26	nickray1	nickray1	PROPN
cana-4932	3	1	1department	1department	NUM
cana-4932	3	2	of	of	ADP
cana-4932	3	3	computer	computer	NOUN
cana-4932	3	4	and	and	CCONJ
cana-4932	3	5	information	information	NOUN
cana-4932	3	6	technology	technology	NOUN
cana-4932	3	7	,	,	PUNCT
cana-4932	3	8	faculty	faculty	NOUN
cana-4932	3	9	of	of	ADP
cana-4932	3	10	engineering	engineering	PROPN
cana-4932	3	11	qom	qom	PROPN
cana-4932	3	12	university	university	PROPN
cana-4932	3	13	,	,	PUNCT
cana-4932	3	14	qom	qom	PROPN
cana-4932	3	15	,	,	PUNCT
cana-4932	3	16	iran	iran	PROPN
cana-4932	3	17	.	.	PUNCT
cana-4932	4	1	2najaf	2najaf	NUM
cana-4932	4	2	technical	technical	PROPN
cana-4932	4	3	institute	institute	PROPN
cana-4932	4	4	,	,	PUNCT
cana-4932	4	5	al	al	PROPN
cana-4932	4	6	-	-	PUNCT
cana-4932	4	7	furat	furat	PROPN
cana-4932	4	8	al	al	PROPN
cana-4932	4	9	-	-	PUNCT
cana-4932	4	10	awsat	awsat	VERB
cana-4932	4	11	technical	technical	PROPN
cana-4932	4	12	university	university	PROPN
cana-4932	4	13	(	(	PUNCT
cana-4932	4	14	atu	atu	PROPN
cana-4932	4	15	)	)	PUNCT
cana-4932	4	16	,	,	PUNCT
cana-4932	4	17	najaf	najaf	PROPN
cana-4932	4	18	,	,	PUNCT
cana-4932	4	19	iraq	iraq	PROPN
cana-4932	4	20	.	.	PUNCT
cana-4932	5	1	corresponding	correspond	VERB
cana-4932	5	2	email	email	NOUN
cana-4932	5	3	author	author	NOUN
cana-4932	5	4	:	:	PUNCT
cana-4932	5	5	sahar.mohammed.inj124@atu.edu.iq	sahar.mohammed.inj124@atu.edu.iq	PUNCT
cana-4932	5	6	article	article	NOUN
cana-4932	5	7	history	history	NOUN
cana-4932	5	8	:	:	PUNCT
cana-4932	5	9	received	receive	VERB
cana-4932	5	10	:	:	PUNCT
cana-4932	5	11	12	12	NUM
cana-4932	5	12	-	-	SYM
cana-4932	5	13	01	01	NUM
cana-4932	5	14	-	-	PUNCT
cana-4932	5	15	2025	2025	NUM
cana-4932	5	16	revised	revise	VERB
cana-4932	5	17	:	:	PUNCT
cana-4932	5	18	15	15	NUM
cana-4932	5	19	-	-	NUM
cana-4932	5	20	02	02	NUM
cana-4932	5	21	-	-	PUNCT
cana-4932	5	22	2025	2025	NUM
cana-4932	5	23	accepted	accept	VERB
cana-4932	5	24	:	:	PUNCT
cana-4932	5	25	01	01	NUM
cana-4932	5	26	-	-	SYM
cana-4932	5	27	03	03	NUM
cana-4932	5	28	-	-	PUNCT
cana-4932	5	29	2025	2025	NUM
cana-4932	5	30	abstract	abstract	NOUN
cana-4932	5	31	:	:	PUNCT
cana-4932	5	32	mobile	mobile	ADJ
cana-4932	5	33	telecommunications	telecommunication	NOUN
cana-4932	5	34	systems	system	NOUN
cana-4932	5	35	and	and	CCONJ
cana-4932	5	36	services	service	NOUN
cana-4932	5	37	are	be	AUX
cana-4932	5	38	widely	widely	ADV
cana-4932	5	39	deployed	deploy	VERB
cana-4932	5	40	across	across	ADP
cana-4932	5	41	global	global	ADJ
cana-4932	5	42	markets	market	NOUN
cana-4932	5	43	.	.	PUNCT
cana-4932	6	1	the	the	DET
cana-4932	6	2	proliferation	proliferation	NOUN
cana-4932	6	3	of	of	ADP
cana-4932	6	4	frequency	frequency	NOUN
cana-4932	6	5	bands	band	NOUN
cana-4932	6	6	and	and	CCONJ
cana-4932	6	7	high	high	ADJ
cana-4932	6	8	-	-	PUNCT
cana-4932	6	9	speed	speed	NOUN
cana-4932	6	10	services	service	NOUN
cana-4932	6	11	underscores	underscore	VERB
cana-4932	6	12	the	the	DET
cana-4932	6	13	challenge	challenge	NOUN
cana-4932	6	14	of	of	ADP
cana-4932	6	15	managing	manage	VERB
cana-4932	6	16	limited	limited	ADJ
cana-4932	6	17	frequency	frequency	NOUN
cana-4932	6	18	resources	resource	NOUN
cana-4932	6	19	in	in	ADP
cana-4932	6	20	next	next	ADJ
cana-4932	6	21	-	-	PUNCT
cana-4932	6	22	generation	generation	NOUN
cana-4932	6	23	wireless	wireless	ADJ
cana-4932	6	24	communication	communication	NOUN
cana-4932	6	25	systems	system	NOUN
cana-4932	6	26	.	.	PUNCT
cana-4932	7	1	cognitive	cognitive	ADJ
cana-4932	7	2	radio	radio	NOUN
cana-4932	7	3	technology	technology	NOUN
cana-4932	7	4	presents	present	VERB
cana-4932	7	5	a	a	DET
cana-4932	7	6	promising	promising	ADJ
cana-4932	7	7	solution	solution	NOUN
cana-4932	7	8	to	to	PART
cana-4932	7	9	efficiently	efficiently	ADV
cana-4932	7	10	utilize	utilize	VERB
cana-4932	7	11	spectrum	spectrum	NOUN
cana-4932	7	12	resources	resource	NOUN
cana-4932	7	13	.	.	PUNCT
cana-4932	8	1	additionally	additionally	ADV
cana-4932	8	2	,	,	PUNCT
cana-4932	8	3	emerging	emerge	VERB
cana-4932	8	4	technologies	technology	NOUN
cana-4932	8	5	like	like	ADP
cana-4932	8	6	massive	massive	ADJ
cana-4932	8	7	multiple	multiple	ADJ
cana-4932	8	8	-	-	PUNCT
cana-4932	8	9	input	input	NOUN
cana-4932	8	10	-	-	PUNCT
cana-4932	8	11	multiple	multiple	ADJ
cana-4932	8	12	-	-	PUNCT
cana-4932	8	13	output	output	NOUN
cana-4932	8	14	(	(	PUNCT
cana-4932	8	15	mimo	mimo	PROPN
cana-4932	8	16	)	)	PUNCT
cana-4932	8	17	and	and	CCONJ
cana-4932	8	18	non	non	ADJ
cana-4932	8	19	-	-	ADJ
cana-4932	8	20	orthogonal	orthogonal	ADJ
cana-4932	8	21	multiple	multiple	ADJ
cana-4932	8	22	access	access	NOUN
cana-4932	8	23	(	(	PUNCT
cana-4932	8	24	noma	noma	PROPN
cana-4932	8	25	)	)	PUNCT
cana-4932	8	26	enhance	enhance	VERB
cana-4932	8	27	spectrum	spectrum	NOUN
cana-4932	8	28	efficiency	efficiency	NOUN
cana-4932	8	29	in	in	ADP
cana-4932	8	30	these	these	DET
cana-4932	8	31	systems	system	NOUN
cana-4932	8	32	.	.	PUNCT
cana-4932	9	1	this	this	DET
cana-4932	9	2	paper	paper	NOUN
cana-4932	9	3	focuses	focus	VERB
cana-4932	9	4	on	on	ADP
cana-4932	9	5	cluster	cluster	NOUN
cana-4932	9	6	head	head	NOUN
cana-4932	9	7	selection	selection	NOUN
cana-4932	9	8	,	,	PUNCT
cana-4932	9	9	user	user	NOUN
cana-4932	9	10	allocation	allocation	NOUN
cana-4932	9	11	to	to	ADP
cana-4932	9	12	clusters	cluster	NOUN
cana-4932	9	13	,	,	PUNCT
cana-4932	9	14	and	and	CCONJ
cana-4932	9	15	power	power	NOUN
cana-4932	9	16	allocation	allocation	NOUN
cana-4932	9	17	within	within	ADP
cana-4932	9	18	clusters	cluster	NOUN
cana-4932	9	19	in	in	ADP
cana-4932	9	20	a	a	DET
cana-4932	9	21	cognitive	cognitive	ADJ
cana-4932	9	22	radio	radio	NOUN
cana-4932	9	23	network	network	NOUN
cana-4932	9	24	employing	employ	VERB
cana-4932	9	25	massive	massive	ADJ
cana-4932	9	26	mimo	mimo	PROPN
cana-4932	9	27	and	and	CCONJ
cana-4932	9	28	power	power	NOUN
cana-4932	9	29	domain	domain	NOUN
cana-4932	9	30	noma	noma	PROPN
cana-4932	9	31	.	.	PUNCT
cana-4932	10	1	cluster	cluster	NOUN
cana-4932	10	2	head	head	NOUN
cana-4932	10	3	decisions	decision	NOUN
cana-4932	10	4	are	be	AUX
cana-4932	10	5	influenced	influence	VERB
cana-4932	10	6	by	by	ADP
cana-4932	10	7	primary	primary	ADJ
cana-4932	10	8	user	user	NOUN
cana-4932	10	9	interference	interference	NOUN
cana-4932	10	10	considerations	consideration	NOUN
cana-4932	10	11	.	.	PUNCT
cana-4932	11	1	user	user	NOUN
cana-4932	11	2	clustering	clustering	NOUN
cana-4932	11	3	is	be	AUX
cana-4932	11	4	based	base	VERB
cana-4932	11	5	on	on	ADP
cana-4932	11	6	the	the	DET
cana-4932	11	7	correlation	correlation	NOUN
cana-4932	11	8	coefficient	coefficient	NOUN
cana-4932	11	9	between	between	ADP
cana-4932	11	10	each	each	DET
cana-4932	11	11	user	user	NOUN
cana-4932	11	12	's	's	PART
cana-4932	11	13	channel	channel	NOUN
cana-4932	11	14	correlation	correlation	NOUN
cana-4932	11	15	matrix	matrix	NOUN
cana-4932	11	16	and	and	CCONJ
cana-4932	11	17	the	the	DET
cana-4932	11	18	desired	desire	VERB
cana-4932	11	19	cluster	cluster	NOUN
cana-4932	11	20	head	head	NOUN
cana-4932	11	21	's	's	PART
cana-4932	11	22	spatial	spatial	ADJ
cana-4932	11	23	vector	vector	NOUN
cana-4932	11	24	.	.	PUNCT
cana-4932	12	1	power	power	NOUN
cana-4932	12	2	allocation	allocation	NOUN
cana-4932	12	3	is	be	AUX
cana-4932	12	4	formulated	formulate	VERB
cana-4932	12	5	as	as	ADP
cana-4932	12	6	a	a	DET
cana-4932	12	7	non	non	ADJ
cana-4932	12	8	-	-	ADJ
cana-4932	12	9	convex	convex	ADJ
cana-4932	12	10	optimization	optimization	NOUN
cana-4932	12	11	problem	problem	NOUN
cana-4932	12	12	,	,	PUNCT
cana-4932	12	13	simplified	simplify	VERB
cana-4932	12	14	for	for	ADP
cana-4932	12	15	practical	practical	ADJ
cana-4932	12	16	implementation	implementation	NOUN
cana-4932	12	17	using	use	VERB
cana-4932	12	18	the	the	DET
cana-4932	12	19	cvx	cvx	PROPN
cana-4932	12	20	toolbox	toolbox	NOUN
cana-4932	12	21	in	in	ADP
cana-4932	12	22	matlab	matlab	PROPN
cana-4932	12	23	.	.	PUNCT
cana-4932	13	1	furthermore	furthermore	ADV
cana-4932	13	2	,	,	PUNCT
cana-4932	13	3	the	the	DET
cana-4932	13	4	paper	paper	NOUN
cana-4932	13	5	introduces	introduce	VERB
cana-4932	13	6	a	a	DET
cana-4932	13	7	modified	modified	ADJ
cana-4932	13	8	zero	zero	NUM
cana-4932	13	9	-	-	PUNCT
cana-4932	13	10	forcing	force	VERB
cana-4932	13	11	(	(	PUNCT
cana-4932	13	12	zf	zf	PROPN
cana-4932	13	13	)	)	PUNCT
cana-4932	13	14	beamforming	beamforme	VERB
cana-4932	13	15	technique	technique	NOUN
cana-4932	13	16	that	that	PRON
cana-4932	13	17	nulls	null	VERB
cana-4932	13	18	interference	interference	NOUN
cana-4932	13	19	toward	toward	ADP
cana-4932	13	20	primary	primary	ADJ
cana-4932	13	21	users	user	NOUN
cana-4932	13	22	in	in	ADP
cana-4932	13	23	downlink	downlink	NOUN
cana-4932	13	24	connections	connection	NOUN
cana-4932	13	25	,	,	PUNCT
cana-4932	13	26	demonstrating	demonstrate	VERB
cana-4932	13	27	improved	improve	VERB
cana-4932	13	28	spectrum	spectrum	NOUN
cana-4932	13	29	efficiency	efficiency	NOUN
cana-4932	13	30	compared	compare	VERB
cana-4932	13	31	to	to	ADP
cana-4932	13	32	conventional	conventional	ADJ
cana-4932	13	33	interference	interference	NOUN
cana-4932	13	34	thresholding	thresholde	VERB
cana-4932	13	35	methods	method	NOUN
cana-4932	13	36	,	,	PUNCT
cana-4932	13	37	as	as	SCONJ
cana-4932	13	38	validated	validate	VERB
cana-4932	13	39	through	through	ADP
cana-4932	13	40	simulation	simulation	NOUN
cana-4932	13	41	results	result	NOUN
cana-4932	13	42	.	.	PUNCT
cana-4932	14	1	keywords	keyword	NOUN
cana-4932	14	2	:	:	PUNCT
cana-4932	14	3	radio	radio	NOUN
cana-4932	14	4	cognitive	cognitive	ADJ
cana-4932	14	5	networks	network	NOUN
cana-4932	14	6	,	,	PUNCT
cana-4932	14	7	non	non	ADJ
cana-4932	14	8	-	-	ADJ
cana-4932	14	9	orthogonal	orthogonal	ADJ
cana-4932	14	10	multiple	multiple	ADJ
cana-4932	14	11	access	access	NOUN
cana-4932	14	12	,	,	PUNCT
cana-4932	14	13	power	power	NOUN
cana-4932	14	14	allocation	allocation	NOUN
cana-4932	14	15	,	,	PUNCT
cana-4932	14	16	massive	massive	ADJ
cana-4932	14	17	mimo	mimo	PROPN
cana-4932	14	18	and	and	CCONJ
cana-4932	14	19	noma	noma	PROPN
cana-4932	14	20	systems	system	NOUN
cana-4932	14	21	,	,	PUNCT
cana-4932	14	22	sum	sum	NOUN
cana-4932	14	23	rate	rate	NOUN
cana-4932	14	24	,	,	PUNCT
cana-4932	14	25	convex	convex	NOUN
cana-4932	14	26	optimization	optimization	NOUN
cana-4932	14	27	,	,	PUNCT
cana-4932	14	28	downlink	downlink	NOUN
cana-4932	14	29	connection	connection	NOUN
cana-4932	14	30	,	,	PUNCT
cana-4932	14	31	spectrum	spectrum	NOUN
cana-4932	14	32	efficiency	efficiency	NOUN
cana-4932	14	33	,	,	PUNCT
cana-4932	14	34	modified	modify	VERB
cana-4932	14	35	zf	zf	PROPN
cana-4932	14	36	,	,	PUNCT
cana-4932	14	37	cvx	cvx	PROPN
cana-4932	14	38	.	.	PROPN
cana-4932	15	1	1introduction	1introduction	NUM
cana-4932	15	2	cognitive	cognitive	ADJ
cana-4932	15	3	radio	radio	NOUN
cana-4932	15	4	(	(	PUNCT
cana-4932	15	5	cr	cr	NOUN
cana-4932	15	6	)	)	PUNCT
cana-4932	15	7	and	and	CCONJ
cana-4932	15	8	non	non	ADJ
cana-4932	15	9	-	-	ADJ
cana-4932	15	10	orthogonal	orthogonal	ADJ
cana-4932	15	11	multiple	multiple	ADJ
cana-4932	15	12	access	access	NOUN
cana-4932	15	13	(	(	PUNCT
cana-4932	15	14	noma	noma	PROPN
cana-4932	15	15	)	)	PUNCT
cana-4932	15	16	have	have	AUX
cana-4932	15	17	emerged	emerge	VERB
cana-4932	15	18	as	as	ADP
cana-4932	15	19	significant	significant	ADJ
cana-4932	15	20	technologies	technology	NOUN
cana-4932	15	21	to	to	PART
cana-4932	15	22	improve	improve	VERB
cana-4932	15	23	spectrum	spectrum	NOUN
cana-4932	15	24	efficiency	efficiency	NOUN
cana-4932	15	25	in	in	ADP
cana-4932	15	26	wireless	wireless	ADJ
cana-4932	15	27	networks	network	NOUN
cana-4932	15	28	,	,	PUNCT
cana-4932	15	29	especially	especially	ADV
cana-4932	15	30	when	when	SCONJ
cana-4932	15	31	combined	combine	VERB
cana-4932	15	32	with	with	ADP
cana-4932	15	33	massive	massive	ADJ
cana-4932	15	34	multiple	multiple	ADJ
cana-4932	15	35	-	-	PUNCT
cana-4932	15	36	input	input	NOUN
cana-4932	15	37	multiple	multiple	ADJ
cana-4932	15	38	-	-	PUNCT
cana-4932	15	39	output	output	NOUN
cana-4932	15	40	(	(	PUNCT
cana-4932	15	41	mimo	mimo	PROPN
cana-4932	15	42	)	)	PUNCT
cana-4932	15	43	systems	system	NOUN
cana-4932	15	44	.	.	PUNCT
cana-4932	16	1	zhou	zhou	PROPN
cana-4932	16	2	et	et	PROPN
cana-4932	16	3	al	al	PROPN
cana-4932	16	4	.	.	PUNCT
cana-4932	17	1	[	[	X
cana-4932	17	2	1	1	X
cana-4932	17	3	]	]	PUNCT
cana-4932	17	4	provide	provide	VERB
cana-4932	17	5	a	a	DET
cana-4932	17	6	comprehensive	comprehensive	ADJ
cana-4932	17	7	overview	overview	NOUN
cana-4932	17	8	of	of	ADP
cana-4932	17	9	noma	noma	NOUN
cana-4932	17	10	's	's	PART
cana-4932	17	11	role	role	NOUN
cana-4932	17	12	in	in	ADP
cana-4932	17	13	cognitive	cognitive	ADJ
cana-4932	17	14	radio	radio	NOUN
cana-4932	17	15	networks	network	NOUN
cana-4932	17	16	,	,	PUNCT
cana-4932	17	17	detailing	detail	VERB
cana-4932	17	18	the	the	DET
cana-4932	17	19	challenges	challenge	NOUN
cana-4932	17	20	and	and	CCONJ
cana-4932	17	21	potential	potential	ADJ
cana-4932	17	22	solutions	solution	NOUN
cana-4932	17	23	to	to	PART
cana-4932	17	24	improve	improve	VERB
cana-4932	17	25	spectrum	spectrum	NOUN
cana-4932	17	26	usage	usage	NOUN
cana-4932	17	27	.	.	PUNCT
cana-4932	18	1	this	this	DET
cana-4932	18	2	review	review	NOUN
cana-4932	18	3	is	be	AUX
cana-4932	18	4	paralleled	parallel	VERB
cana-4932	18	5	by	by	ADP
cana-4932	18	6	research	research	NOUN
cana-4932	18	7	by	by	ADP
cana-4932	18	8	wang	wang	PROPN
cana-4932	18	9	and	and	CCONJ
cana-4932	18	10	liu	liu	PROPN
cana-4932	19	1	[	[	X
cana-4932	19	2	3	3	NUM
cana-4932	19	3	]	]	PUNCT
cana-4932	19	4	,	,	PUNCT
cana-4932	19	5	who	who	PRON
cana-4932	19	6	explore	explore	VERB
cana-4932	19	7	the	the	DET
cana-4932	19	8	advancements	advancement	NOUN
cana-4932	19	9	in	in	ADP
cana-4932	19	10	cognitive	cognitive	ADJ
cana-4932	19	11	radio	radio	NOUN
cana-4932	19	12	networks	network	NOUN
cana-4932	19	13	and	and	CCONJ
cana-4932	19	14	suggest	suggest	VERB
cana-4932	19	15	that	that	SCONJ
cana-4932	19	16	integrating	integrate	VERB
cana-4932	19	17	noma	noma	PROPN
cana-4932	19	18	with	with	ADP
cana-4932	19	19	these	these	DET
cana-4932	19	20	networks	network	NOUN
cana-4932	19	21	could	could	AUX
cana-4932	19	22	significantly	significantly	ADV
cana-4932	19	23	enhance	enhance	VERB
cana-4932	19	24	their	their	PRON
cana-4932	19	25	efficiency	efficiency	NOUN
cana-4932	19	26	.	.	PUNCT
cana-4932	20	1	the	the	DET
cana-4932	20	2	application	application	NOUN
cana-4932	20	3	of	of	ADP
cana-4932	20	4	massive	massive	ADJ
cana-4932	20	5	mimo	mimo	PROPN
cana-4932	20	6	in	in	ADP
cana-4932	20	7	cognitive	cognitive	ADJ
cana-4932	20	8	radio	radio	NOUN
cana-4932	20	9	systems	system	NOUN
cana-4932	20	10	,	,	PUNCT
cana-4932	20	11	particularly	particularly	ADV
cana-4932	20	12	with	with	ADP
cana-4932	20	13	noma	noma	NOUN
cana-4932	20	14	,	,	PUNCT
cana-4932	20	15	is	be	AUX
cana-4932	20	16	considered	consider	VERB
cana-4932	20	17	a	a	DET
cana-4932	20	18	transformative	transformative	ADJ
cana-4932	20	19	approach	approach	NOUN
cana-4932	20	20	to	to	PART
cana-4932	20	21	address	address	VERB
cana-4932	20	22	spectrum	spectrum	NOUN
cana-4932	20	23	scarcity	scarcity	NOUN
cana-4932	20	24	.	.	PUNCT
cana-4932	21	1	senel	senel	PROPN
cana-4932	21	2	et	et	PROPN
cana-4932	21	3	al	al	PROPN
cana-4932	21	4	.	.	PUNCT
cana-4932	22	1	[	[	X
cana-4932	22	2	5	5	NUM
cana-4932	22	3	]	]	PUNCT
cana-4932	22	4	discuss	discuss	VERB
cana-4932	22	5	the	the	DET
cana-4932	22	6	implications	implication	NOUN
cana-4932	22	7	of	of	ADP
cana-4932	22	8	noma	noma	PROPN
cana-4932	22	9	in	in	ADP
cana-4932	22	10	massive	massive	ADJ
cana-4932	22	11	mimo	mimo	PROPN
cana-4932	22	12	settings	setting	NOUN
cana-4932	22	13	,	,	PUNCT
cana-4932	22	14	arguing	argue	VERB
cana-4932	22	15	that	that	SCONJ
cana-4932	22	16	it	it	PRON
cana-4932	22	17	could	could	AUX
cana-4932	22	18	dramatically	dramatically	ADV
cana-4932	22	19	increase	increase	VERB
cana-4932	22	20	network	network	NOUN
cana-4932	22	21	capacity	capacity	NOUN
cana-4932	22	22	.	.	PUNCT
cana-4932	23	1	akyildiz	akyildiz	NOUN
cana-4932	23	2	et	et	PROPN
cana-4932	23	3	al	al	PROPN
cana-4932	23	4	.	.	PUNCT
cana-4932	24	1	[	[	X
cana-4932	24	2	6	6	NUM
cana-4932	24	3	]	]	PUNCT
cana-4932	24	4	provide	provide	VERB
cana-4932	24	5	a	a	DET
cana-4932	24	6	broader	broad	ADJ
cana-4932	24	7	perspective	perspective	NOUN
cana-4932	24	8	on	on	ADP
cana-4932	24	9	nextmailto:sahar.mohammed.inj124@atu.edu.iq	nextmailto:sahar.mohammed.inj124@atu.edu.iq	ADJ
cana-4932	24	10	communications	communication	NOUN
cana-4932	24	11	on	on	ADP
cana-4932	24	12	applied	apply	VERB
cana-4932	24	13	nonlinear	nonlinear	ADJ
cana-4932	24	14	analysis	analysis	NOUN
cana-4932	24	15	issn	issn	NOUN
cana-4932	24	16	:	:	PUNCT
cana-4932	24	17	1074	1074	NUM
cana-4932	24	18	-	-	PUNCT
cana-4932	24	19	133x	133x	NUM
cana-4932	24	20	vol	vol	VERB
cana-4932	24	21	32	32	NUM
cana-4932	24	22	no	no	NOUN
cana-4932	24	23	.	.	PUNCT
cana-4932	25	1	10s	10	NOUN
cana-4932	25	2	(	(	PUNCT
cana-4932	25	3	2025	2025	NUM
cana-4932	25	4	)	)	PUNCT
cana-4932	25	5	978	978	NUM
cana-4932	26	1	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-4932	26	2	generation	generation	NOUN
cana-4932	26	3	dynamic	dynamic	ADJ
cana-4932	26	4	spectrum	spectrum	NOUN
cana-4932	26	5	access	access	NOUN
cana-4932	26	6	and	and	CCONJ
cana-4932	26	7	cognitive	cognitive	ADJ
cana-4932	26	8	radio	radio	NOUN
cana-4932	26	9	networks	network	NOUN
cana-4932	26	10	,	,	PUNCT
cana-4932	26	11	underscoring	underscore	VERB
cana-4932	26	12	the	the	DET
cana-4932	26	13	importance	importance	NOUN
cana-4932	26	14	of	of	ADP
cana-4932	26	15	advanced	advanced	ADJ
cana-4932	26	16	spectrum	spectrum	NOUN
cana-4932	26	17	sharing	sharing	NOUN
cana-4932	26	18	techniques	technique	NOUN
cana-4932	26	19	to	to	PART
cana-4932	26	20	meet	meet	VERB
cana-4932	26	21	the	the	DET
cana-4932	26	22	growing	grow	VERB
cana-4932	26	23	demand	demand	NOUN
cana-4932	26	24	for	for	ADP
cana-4932	26	25	wireless	wireless	ADJ
cana-4932	26	26	communication	communication	NOUN
cana-4932	26	27	services	service	NOUN
cana-4932	26	28	.	.	PUNCT
cana-4932	27	1	goldsmith	goldsmith	PROPN
cana-4932	27	2	et	et	PROPN
cana-4932	27	3	al	al	PROPN
cana-4932	27	4	.	.	PUNCT
cana-4932	28	1	[	[	X
cana-4932	28	2	7	7	X
cana-4932	28	3	]	]	PUNCT
cana-4932	28	4	further	far	ADV
cana-4932	28	5	this	this	DET
cana-4932	28	6	discussion	discussion	NOUN
cana-4932	28	7	by	by	ADP
cana-4932	28	8	offering	offer	VERB
cana-4932	28	9	an	an	DET
cana-4932	28	10	information	information	NOUN
cana-4932	28	11	-	-	PUNCT
cana-4932	28	12	theoretic	theoretic	NOUN
cana-4932	28	13	perspective	perspective	NOUN
cana-4932	28	14	on	on	ADP
cana-4932	28	15	breaking	break	VERB
cana-4932	28	16	spectrum	spectrum	NOUN
cana-4932	28	17	gridlock	gridlock	NOUN
cana-4932	28	18	through	through	ADP
cana-4932	28	19	cognitive	cognitive	ADJ
cana-4932	28	20	radios	radio	NOUN
cana-4932	28	21	,	,	PUNCT
cana-4932	28	22	which	which	PRON
cana-4932	28	23	is	be	AUX
cana-4932	28	24	fundamental	fundamental	ADJ
cana-4932	28	25	in	in	ADP
cana-4932	28	26	developing	develop	VERB
cana-4932	28	27	strategies	strategy	NOUN
cana-4932	28	28	for	for	ADP
cana-4932	28	29	efficient	efficient	ADJ
cana-4932	28	30	spectrum	spectrum	NOUN
cana-4932	28	31	utilization	utilization	NOUN
cana-4932	28	32	.	.	PUNCT
cana-4932	29	1	tao	tao	PROPN
cana-4932	29	2	et	et	PROPN
cana-4932	29	3	al	al	PROPN
cana-4932	29	4	.	.	PUNCT
cana-4932	30	1	[	[	X
cana-4932	30	2	8	8	NUM
cana-4932	30	3	]	]	PUNCT
cana-4932	30	4	survey	survey	VERB
cana-4932	30	5	several	several	ADJ
cana-4932	30	6	technologies	technology	NOUN
cana-4932	30	7	of	of	ADP
cana-4932	30	8	non	non	ADJ
cana-4932	30	9	-	-	ADJ
cana-4932	30	10	orthogonal	orthogonal	ADJ
cana-4932	30	11	transmission	transmission	NOUN
cana-4932	30	12	for	for	ADP
cana-4932	30	13	5	5	NUM
cana-4932	30	14	g	g	NOUN
cana-4932	30	15	,	,	PUNCT
cana-4932	30	16	which	which	PRON
cana-4932	30	17	includes	include	VERB
cana-4932	30	18	noma	noma	NOUN
cana-4932	30	19	,	,	PUNCT
cana-4932	30	20	indicating	indicate	VERB
cana-4932	30	21	its	its	PRON
cana-4932	30	22	critical	critical	ADJ
cana-4932	30	23	role	role	NOUN
cana-4932	30	24	in	in	ADP
cana-4932	30	25	future	future	ADJ
cana-4932	30	26	wireless	wireless	ADJ
cana-4932	30	27	networks	network	NOUN
cana-4932	30	28	.	.	PUNCT
cana-4932	31	1	tragos	trago	NOUN
cana-4932	31	2	et	et	PROPN
cana-4932	31	3	al	al	PROPN
cana-4932	31	4	.	.	PUNCT
cana-4932	32	1	[	[	X
cana-4932	32	2	9	9	NUM
cana-4932	32	3	]	]	PUNCT
cana-4932	32	4	provide	provide	VERB
cana-4932	32	5	a	a	DET
cana-4932	32	6	comprehensive	comprehensive	ADJ
cana-4932	32	7	survey	survey	NOUN
cana-4932	32	8	on	on	ADP
cana-4932	32	9	spectrum	spectrum	NOUN
cana-4932	32	10	assignment	assignment	NOUN
cana-4932	32	11	in	in	ADP
cana-4932	32	12	cognitive	cognitive	ADJ
cana-4932	32	13	radio	radio	NOUN
cana-4932	32	14	networks	network	NOUN
cana-4932	32	15	,	,	PUNCT
cana-4932	32	16	which	which	PRON
cana-4932	32	17	is	be	AUX
cana-4932	32	18	crucial	crucial	ADJ
cana-4932	32	19	for	for	ADP
cana-4932	32	20	effective	effective	ADJ
cana-4932	32	21	spectrum	spectrum	NOUN
cana-4932	32	22	management	management	NOUN
cana-4932	32	23	and	and	CCONJ
cana-4932	32	24	avoiding	avoid	VERB
cana-4932	32	25	interference	interference	NOUN
cana-4932	32	26	with	with	ADP
cana-4932	32	27	incumbent	incumbent	ADJ
cana-4932	32	28	users	user	NOUN
cana-4932	32	29	.	.	PUNCT
cana-4932	33	1	this	this	PRON
cana-4932	33	2	is	be	AUX
cana-4932	33	3	supported	support	VERB
cana-4932	33	4	by	by	ADP
cana-4932	33	5	the	the	DET
cana-4932	33	6	work	work	NOUN
cana-4932	33	7	of	of	ADP
cana-4932	33	8	ding	ding	NOUN
cana-4932	33	9	et	et	PROPN
cana-4932	33	10	al	al	PROPN
cana-4932	33	11	.	.	PUNCT
cana-4932	34	1	[	[	X
cana-4932	34	2	31	31	NUM
cana-4932	34	3	]	]	PUNCT
cana-4932	34	4	,	,	PUNCT
cana-4932	34	5	who	who	PRON
cana-4932	34	6	explore	explore	VERB
cana-4932	34	7	the	the	DET
cana-4932	34	8	application	application	NOUN
cana-4932	34	9	of	of	ADP
cana-4932	34	10	mimo	mimo	PROPN
cana-4932	34	11	technologies	technology	NOUN
cana-4932	34	12	to	to	ADP
cana-4932	34	13	noma	noma	PROPN
cana-4932	34	14	,	,	PUNCT
cana-4932	34	15	indicating	indicate	VERB
cana-4932	34	16	potential	potential	ADJ
cana-4932	34	17	efficiency	efficiency	NOUN
cana-4932	34	18	gains	gain	NOUN
cana-4932	34	19	in	in	ADP
cana-4932	34	20	terms	term	NOUN
cana-4932	34	21	of	of	ADP
cana-4932	34	22	throughput	throughput	NOUN
cana-4932	34	23	and	and	CCONJ
cana-4932	34	24	user	user	NOUN
cana-4932	34	25	fairness	fairness	NOUN
cana-4932	34	26	.	.	PUNCT
cana-4932	35	1	resource	resource	NOUN
cana-4932	35	2	allocation	allocation	NOUN
cana-4932	35	3	in	in	ADP
cana-4932	35	4	these	these	DET
cana-4932	35	5	systems	system	NOUN
cana-4932	35	6	is	be	AUX
cana-4932	35	7	a	a	DET
cana-4932	35	8	critical	critical	ADJ
cana-4932	35	9	area	area	NOUN
cana-4932	35	10	of	of	ADP
cana-4932	35	11	study	study	NOUN
cana-4932	35	12	.	.	PUNCT
cana-4932	36	1	higuchi	higuchi	PROPN
cana-4932	36	2	and	and	CCONJ
cana-4932	36	3	benjebbour	benjebbour	ADJ
cana-4932	36	4	[	[	X
cana-4932	36	5	13	13	NUM
cana-4932	36	6	]	]	PUNCT
cana-4932	36	7	highlight	highlight	VERB
cana-4932	36	8	the	the	DET
cana-4932	36	9	efficiency	efficiency	NOUN
cana-4932	36	10	of	of	ADP
cana-4932	36	11	successive	successive	ADJ
cana-4932	36	12	interference	interference	NOUN
cana-4932	36	13	cancellation	cancellation	NOUN
cana-4932	36	14	(	(	PUNCT
cana-4932	36	15	sic	sic	ADJ
cana-4932	36	16	)	)	PUNCT
cana-4932	36	17	in	in	ADP
cana-4932	36	18	noma	noma	PROPN
cana-4932	36	19	,	,	PUNCT
cana-4932	36	20	which	which	PRON
cana-4932	36	21	can	can	AUX
cana-4932	36	22	be	be	AUX
cana-4932	36	23	crucial	crucial	ADJ
cana-4932	36	24	for	for	ADP
cana-4932	36	25	optimizing	optimize	VERB
cana-4932	36	26	resource	resource	NOUN
cana-4932	36	27	allocation	allocation	NOUN
cana-4932	36	28	in	in	ADP
cana-4932	36	29	cognitive	cognitive	ADJ
cana-4932	36	30	radio	radio	NOUN
cana-4932	36	31	systems	system	NOUN
cana-4932	36	32	.	.	PUNCT
cana-4932	37	1	further	far	ADV
cana-4932	37	2	,	,	PUNCT
cana-4932	37	3	the	the	DET
cana-4932	37	4	work	work	NOUN
cana-4932	37	5	of	of	ADP
cana-4932	37	6	el	el	PROPN
cana-4932	37	7	ayach	ayach	PROPN
cana-4932	37	8	et	et	PROPN
cana-4932	37	9	al	al	PROPN
cana-4932	37	10	.	.	PUNCT
cana-4932	38	1	[	[	X
cana-4932	38	2	57	57	NUM
cana-4932	38	3	]	]	PUNCT
cana-4932	38	4	on	on	ADP
cana-4932	38	5	spatially	spatially	ADV
cana-4932	38	6	sparse	sparse	ADJ
cana-4932	38	7	precoding	precoding	NOUN
cana-4932	38	8	in	in	ADP
cana-4932	38	9	millimeter	millimeter	NOUN
cana-4932	38	10	wave	wave	PROPN
cana-4932	38	11	mimo	mimo	PROPN
cana-4932	38	12	systems	systems	PROPN
cana-4932	38	13	points	point	NOUN
cana-4932	38	14	to	to	ADP
cana-4932	38	15	significant	significant	ADJ
cana-4932	38	16	efficiency	efficiency	NOUN
cana-4932	38	17	gains	gain	NOUN
cana-4932	38	18	through	through	ADP
cana-4932	38	19	beamforming	beamforme	VERB
cana-4932	38	20	techniques	technique	NOUN
cana-4932	38	21	,	,	PUNCT
cana-4932	38	22	which	which	PRON
cana-4932	38	23	could	could	AUX
cana-4932	38	24	be	be	AUX
cana-4932	38	25	effectively	effectively	ADV
cana-4932	38	26	combined	combine	VERB
cana-4932	38	27	with	with	ADP
cana-4932	38	28	noma	noma	PROPN
cana-4932	38	29	strategies	strategy	NOUN
cana-4932	38	30	.	.	PUNCT
cana-4932	39	1	power	power	NOUN
cana-4932	39	2	allocation	allocation	NOUN
cana-4932	39	3	is	be	AUX
cana-4932	39	4	another	another	DET
cana-4932	39	5	crucial	crucial	ADJ
cana-4932	39	6	aspect	aspect	NOUN
cana-4932	39	7	.	.	PUNCT
cana-4932	40	1	shahrokh	shahrokh	PROPN
cana-4932	40	2	and	and	CCONJ
cana-4932	40	3	mohamed	mohame	VERB
cana-4932	40	4	-	-	PUNCT
cana-4932	40	5	pour	pour	PROPN
cana-4932	40	6	[	[	X
cana-4932	40	7	2	2	NUM
cana-4932	40	8	]	]	PUNCT
cana-4932	40	9	address	address	NOUN
cana-4932	40	10	sub	sub	ADJ
cana-4932	40	11	-	-	ADJ
cana-4932	40	12	optimal	optimal	ADJ
cana-4932	40	13	power	power	NOUN
cana-4932	40	14	allocation	allocation	NOUN
cana-4932	40	15	strategies	strategy	NOUN
cana-4932	40	16	in	in	ADP
cana-4932	40	17	mimo	mimo	PROPN
cana-4932	40	18	-	-	PUNCT
cana-4932	40	19	ofdm	ofdm	NOUN
cana-4932	40	20	-	-	PUNCT
cana-4932	40	21	based	base	VERB
cana-4932	40	22	cognitive	cognitive	ADJ
cana-4932	40	23	radio	radio	NOUN
cana-4932	40	24	networks	network	NOUN
cana-4932	40	25	,	,	PUNCT
cana-4932	40	26	underscoring	underscore	VERB
cana-4932	40	27	the	the	DET
cana-4932	40	28	trade	trade	NOUN
cana-4932	40	29	-	-	PUNCT
cana-4932	40	30	offs	off	NOUN
cana-4932	40	31	involved	involve	VERB
cana-4932	40	32	in	in	ADP
cana-4932	40	33	such	such	ADJ
cana-4932	40	34	systems	system	NOUN
cana-4932	40	35	.	.	PUNCT
cana-4932	41	1	similarly	similarly	ADV
cana-4932	41	2	,	,	PUNCT
cana-4932	41	3	zhou	zhou	PROPN
cana-4932	41	4	et	et	PROPN
cana-4932	41	5	al	al	PROPN
cana-4932	41	6	.	.	PUNCT
cana-4932	42	1	[	[	X
cana-4932	42	2	24	24	NUM
cana-4932	42	3	]	]	PUNCT
cana-4932	42	4	and	and	CCONJ
cana-4932	42	5	glei	glei	NOUN
cana-4932	42	6	and	and	CCONJ
cana-4932	42	7	chibani	chibani	ADJ
cana-4932	42	8	[	[	X
cana-4932	42	9	25	25	NUM
cana-4932	42	10	]	]	PUNCT
cana-4932	42	11	discuss	discuss	VERB
cana-4932	42	12	the	the	DET
cana-4932	42	13	rate	rate	NOUN
cana-4932	42	14	-	-	PUNCT
cana-4932	42	15	optimal	optimal	ADJ
cana-4932	42	16	power	power	NOUN
cana-4932	42	17	domain	domain	NOUN
cana-4932	42	18	noma	noma	NOUN
cana-4932	42	19	,	,	PUNCT
cana-4932	42	20	emphasizing	emphasize	VERB
cana-4932	42	21	the	the	DET
cana-4932	42	22	need	need	NOUN
cana-4932	42	23	for	for	ADP
cana-4932	42	24	efficient	efficient	ADJ
cana-4932	42	25	power	power	NOUN
cana-4932	42	26	allocation	allocation	NOUN
cana-4932	42	27	to	to	PART
cana-4932	42	28	maximize	maximize	VERB
cana-4932	42	29	system	system	NOUN
cana-4932	42	30	throughput	throughput	NOUN
cana-4932	42	31	without	without	ADP
cana-4932	42	32	causing	cause	VERB
cana-4932	42	33	undue	undue	ADJ
cana-4932	42	34	interference	interference	NOUN
cana-4932	42	35	to	to	ADP
cana-4932	42	36	primary	primary	ADJ
cana-4932	42	37	users	user	NOUN
cana-4932	42	38	.	.	PUNCT
cana-4932	43	1	on	on	ADP
cana-4932	43	2	the	the	DET
cana-4932	43	3	interference	interference	NOUN
cana-4932	43	4	management	management	NOUN
cana-4932	43	5	front	front	NOUN
cana-4932	43	6	,	,	PUNCT
cana-4932	43	7	li	li	PROPN
cana-4932	43	8	et	et	PROPN
cana-4932	43	9	al	al	PROPN
cana-4932	43	10	.	.	PUNCT
cana-4932	44	1	[	[	X
cana-4932	44	2	32	32	NUM
cana-4932	44	3	]	]	PUNCT
cana-4932	44	4	explore	explore	VERB
cana-4932	44	5	the	the	DET
cana-4932	44	6	outage	outage	NOUN
cana-4932	44	7	performance	performance	NOUN
cana-4932	44	8	of	of	ADP
cana-4932	44	9	cooperative	cooperative	ADJ
cana-4932	44	10	noma	noma	PROPN
cana-4932	44	11	networks	network	NOUN
cana-4932	44	12	,	,	PUNCT
cana-4932	44	13	emphasizing	emphasize	VERB
cana-4932	44	14	the	the	DET
cana-4932	44	15	need	need	NOUN
cana-4932	44	16	for	for	ADP
cana-4932	44	17	robust	robust	ADJ
cana-4932	44	18	strategies	strategy	NOUN
cana-4932	44	19	to	to	PART
cana-4932	44	20	manage	manage	VERB
cana-4932	44	21	interference	interference	NOUN
cana-4932	44	22	in	in	ADP
cana-4932	44	23	dense	dense	ADJ
cana-4932	44	24	network	network	NOUN
cana-4932	44	25	environments	environment	NOUN
cana-4932	44	26	.	.	PUNCT
cana-4932	45	1	this	this	PRON
cana-4932	45	2	is	be	AUX
cana-4932	45	3	crucial	crucial	ADJ
cana-4932	45	4	in	in	ADP
cana-4932	45	5	cognitive	cognitive	ADJ
cana-4932	45	6	radio	radio	NOUN
cana-4932	45	7	settings	setting	NOUN
cana-4932	45	8	where	where	SCONJ
cana-4932	45	9	the	the	DET
cana-4932	45	10	primary	primary	ADJ
cana-4932	45	11	and	and	CCONJ
cana-4932	45	12	secondary	secondary	ADJ
cana-4932	45	13	users	user	NOUN
cana-4932	45	14	must	must	AUX
cana-4932	45	15	coexist	coexist	VERB
cana-4932	45	16	without	without	ADP
cana-4932	45	17	detrimental	detrimental	ADJ
cana-4932	45	18	interference	interference	NOUN
cana-4932	45	19	,	,	PUNCT
cana-4932	45	20	as	as	SCONJ
cana-4932	45	21	detailed	detail	VERB
cana-4932	45	22	by	by	ADP
cana-4932	45	23	proakis	proaki	NOUN
cana-4932	45	24	[	[	X
cana-4932	45	25	35	35	NUM
cana-4932	45	26	]	]	PUNCT
cana-4932	45	27	in	in	ADP
cana-4932	45	28	his	his	PRON
cana-4932	45	29	work	work	NOUN
cana-4932	45	30	on	on	ADP
cana-4932	45	31	spread	spread	ADJ
cana-4932	45	32	spectrum	spectrum	NOUN
cana-4932	45	33	signals	signal	NOUN
cana-4932	45	34	for	for	ADP
cana-4932	45	35	digital	digital	ADJ
cana-4932	45	36	communications	communication	NOUN
cana-4932	45	37	.	.	PUNCT
cana-4932	46	1	the	the	DET
cana-4932	46	2	integration	integration	NOUN
cana-4932	46	3	of	of	ADP
cana-4932	46	4	these	these	DET
cana-4932	46	5	technologies	technology	NOUN
cana-4932	46	6	requires	require	VERB
cana-4932	46	7	careful	careful	ADJ
cana-4932	46	8	consideration	consideration	NOUN
cana-4932	46	9	of	of	ADP
cana-4932	46	10	practical	practical	ADJ
cana-4932	46	11	limitations	limitation	NOUN
cana-4932	46	12	and	and	CCONJ
cana-4932	46	13	implementation	implementation	NOUN
cana-4932	46	14	strategies	strategy	NOUN
cana-4932	46	15	.	.	PUNCT
cana-4932	47	1	srinivasa	srinivasa	PROPN
cana-4932	47	2	and	and	CCONJ
cana-4932	47	3	jafar	jafar	PROPN
cana-4932	48	1	[	[	X
cana-4932	48	2	16	16	NUM
cana-4932	48	3	]	]	PUNCT
cana-4932	48	4	provide	provide	VERB
cana-4932	48	5	a	a	DET
cana-4932	48	6	theoretical	theoretical	ADJ
cana-4932	48	7	perspective	perspective	NOUN
cana-4932	48	8	on	on	ADP
cana-4932	48	9	the	the	DET
cana-4932	48	10	throughput	throughput	NOUN
cana-4932	48	11	potential	potential	NOUN
cana-4932	48	12	of	of	ADP
cana-4932	48	13	cognitive	cognitive	ADJ
cana-4932	48	14	radios	radio	NOUN
cana-4932	48	15	,	,	PUNCT
cana-4932	48	16	which	which	PRON
cana-4932	48	17	could	could	AUX
cana-4932	48	18	inform	inform	VERB
cana-4932	48	19	practical	practical	ADJ
cana-4932	48	20	deployment	deployment	NOUN
cana-4932	48	21	strategies	strategy	NOUN
cana-4932	48	22	.	.	PUNCT
cana-4932	49	1	meanwhile	meanwhile	ADV
cana-4932	49	2	,	,	PUNCT
cana-4932	49	3	the	the	DET
cana-4932	49	4	survey	survey	NOUN
cana-4932	49	5	by	by	ADP
cana-4932	49	6	islam	islam	PROPN
cana-4932	49	7	et	et	PROPN
cana-4932	49	8	al	al	PROPN
cana-4932	49	9	.	.	PUNCT
cana-4932	50	1	[	[	X
cana-4932	50	2	23	23	NUM
cana-4932	50	3	]	]	PUNCT
cana-4932	50	4	on	on	ADP
cana-4932	50	5	power	power	NOUN
cana-4932	50	6	-	-	PUNCT
cana-4932	50	7	domain	domain	NOUN
cana-4932	50	8	noma	noma	NOUN
cana-4932	50	9	in	in	ADP
cana-4932	50	10	5	5	NUM
cana-4932	50	11	g	g	NOUN
cana-4932	50	12	systems	system	NOUN
cana-4932	50	13	reviews	review	VERB
cana-4932	50	14	the	the	DET
cana-4932	50	15	potentials	potential	NOUN
cana-4932	50	16	and	and	CCONJ
cana-4932	50	17	challenges	challenge	NOUN
cana-4932	50	18	,	,	PUNCT
cana-4932	50	19	offering	offer	VERB
cana-4932	50	20	insights	insight	NOUN
cana-4932	50	21	into	into	ADP
cana-4932	50	22	future	future	ADJ
cana-4932	50	23	research	research	NOUN
cana-4932	50	24	directions	direction	NOUN
cana-4932	50	25	that	that	PRON
cana-4932	50	26	could	could	AUX
cana-4932	50	27	enhance	enhance	VERB
cana-4932	50	28	the	the	DET
cana-4932	50	29	deployment	deployment	NOUN
cana-4932	50	30	of	of	ADP
cana-4932	50	31	cognitive	cognitive	ADJ
cana-4932	50	32	radio	radio	NOUN
cana-4932	50	33	massive	massive	PROPN
cana-4932	50	34	mimo	mimo	PROPN
cana-4932	50	35	noma	noma	PROPN
cana-4932	50	36	systems	systems	PROPN
cana-4932	50	37	.	.	PUNCT
cana-4932	51	1	resource	resource	NOUN
cana-4932	51	2	allocation	allocation	NOUN
cana-4932	51	3	in	in	ADP
cana-4932	51	4	such	such	ADJ
cana-4932	51	5	integrated	integrate	VERB
cana-4932	51	6	systems	system	NOUN
cana-4932	51	7	often	often	ADV
cana-4932	51	8	requires	require	VERB
cana-4932	51	9	sophisticated	sophisticated	ADJ
cana-4932	51	10	algorithms	algorithm	NOUN
cana-4932	51	11	to	to	PART
cana-4932	51	12	handle	handle	VERB
cana-4932	51	13	the	the	DET
cana-4932	51	14	dynamic	dynamic	ADJ
cana-4932	51	15	nature	nature	NOUN
cana-4932	51	16	of	of	ADP
cana-4932	51	17	cognitive	cognitive	ADJ
cana-4932	51	18	radio	radio	NOUN
cana-4932	51	19	environments	environment	NOUN
cana-4932	51	20	.	.	PUNCT
cana-4932	52	1	wang	wang	PROPN
cana-4932	52	2	et	et	PROPN
cana-4932	52	3	al	al	PROPN
cana-4932	52	4	.	.	PUNCT
cana-4932	53	1	[	[	X
cana-4932	53	2	63	63	NUM
cana-4932	53	3	]	]	PUNCT
cana-4932	53	4	discuss	discuss	VERB
cana-4932	53	5	spectrum	spectrum	NOUN
cana-4932	53	6	and	and	CCONJ
cana-4932	53	7	energy	energy	NOUN
cana-4932	53	8	-	-	PUNCT
cana-4932	53	9	efficient	efficient	ADJ
cana-4932	53	10	beamspace	beamspace	NOUN
cana-4932	53	11	mimo	mimo	PROPN
cana-4932	53	12	-	-	PUNCT
cana-4932	53	13	noma	noma	PROPN
cana-4932	53	14	configurations	configuration	NOUN
cana-4932	53	15	that	that	PRON
cana-4932	53	16	utilize	utilize	VERB
cana-4932	53	17	lens	lens	NOUN
cana-4932	53	18	antenna	antenna	NOUN
cana-4932	53	19	arrays	array	VERB
cana-4932	53	20	to	to	PART
cana-4932	53	21	enhance	enhance	VERB
cana-4932	53	22	signal	signal	NOUN
cana-4932	53	23	directionality	directionality	NOUN
cana-4932	53	24	and	and	CCONJ
cana-4932	53	25	reception	reception	NOUN
cana-4932	53	26	quality	quality	NOUN
cana-4932	53	27	.	.	PUNCT
cana-4932	54	1	this	this	DET
cana-4932	54	2	approach	approach	NOUN
cana-4932	54	3	,	,	PUNCT
cana-4932	54	4	which	which	PRON
cana-4932	54	5	strategically	strategically	ADV
cana-4932	54	6	allocates	allocate	VERB
cana-4932	54	7	resources	resource	NOUN
cana-4932	54	8	in	in	ADP
cana-4932	54	9	millimeter	millimeter	NOUN
cana-4932	54	10	-	-	PUNCT
cana-4932	54	11	wave	wave	NOUN
cana-4932	54	12	communications	communication	NOUN
cana-4932	54	13	,	,	PUNCT
cana-4932	54	14	signifies	signify	VERB
cana-4932	54	15	the	the	DET
cana-4932	54	16	potential	potential	NOUN
cana-4932	54	17	for	for	ADP
cana-4932	54	18	increased	increase	VERB
cana-4932	54	19	spectrum	spectrum	NOUN
cana-4932	54	20	efficiency	efficiency	NOUN
cana-4932	54	21	and	and	CCONJ
cana-4932	54	22	network	network	NOUN
cana-4932	54	23	performance	performance	NOUN
cana-4932	54	24	in	in	ADP
cana-4932	54	25	high	high	ADJ
cana-4932	54	26	-	-	PUNCT
cana-4932	54	27	demand	demand	NOUN
cana-4932	54	28	scenarios	scenario	NOUN
cana-4932	54	29	.	.	PUNCT
cana-4932	55	1	furthermore	furthermore	ADV
cana-4932	55	2	,	,	PUNCT
cana-4932	55	3	the	the	DET
cana-4932	55	4	need	need	NOUN
cana-4932	55	5	for	for	ADP
cana-4932	55	6	advanced	advanced	ADJ
cana-4932	55	7	beamforming	beamforming	NOUN
cana-4932	55	8	techniques	technique	NOUN
cana-4932	55	9	,	,	PUNCT
cana-4932	55	10	as	as	SCONJ
cana-4932	55	11	discussed	discuss	VERB
cana-4932	55	12	by	by	ADP
cana-4932	55	13	el	el	PROPN
cana-4932	55	14	ayach	ayach	PROPN
cana-4932	55	15	et	et	PROPN
cana-4932	55	16	al	al	PROPN
cana-4932	55	17	.	.	PUNCT
cana-4932	56	1	[	[	X
cana-4932	56	2	57	57	NUM
cana-4932	56	3	]	]	PUNCT
cana-4932	56	4	and	and	CCONJ
cana-4932	56	5	dai	dai	PROPN
cana-4932	56	6	et	et	PROPN
cana-4932	56	7	al	al	PROPN
cana-4932	56	8	.	.	PUNCT
cana-4932	57	1	[	[	X
cana-4932	57	2	53	53	NUM
cana-4932	57	3	]	]	PUNCT
cana-4932	57	4	,	,	PUNCT
cana-4932	57	5	is	be	AUX
cana-4932	57	6	evident	evident	ADJ
cana-4932	57	7	in	in	ADP
cana-4932	57	8	maintaining	maintain	VERB
cana-4932	57	9	effective	effective	ADJ
cana-4932	57	10	communication	communication	NOUN
cana-4932	57	11	in	in	ADP
cana-4932	57	12	dense	dense	ADJ
cana-4932	57	13	network	network	NOUN
cana-4932	57	14	environments	environment	NOUN
cana-4932	57	15	where	where	SCONJ
cana-4932	57	16	cognitive	cognitive	ADJ
cana-4932	57	17	radios	radio	NOUN
cana-4932	57	18	operate	operate	VERB
cana-4932	57	19	.	.	PUNCT
cana-4932	58	1	these	these	DET
cana-4932	58	2	techniques	technique	NOUN
cana-4932	58	3	help	help	AUX
cana-4932	58	4	manage	manage	VERB
cana-4932	58	5	interference	interference	NOUN
cana-4932	58	6	and	and	CCONJ
cana-4932	58	7	optimize	optimize	VERB
cana-4932	58	8	the	the	DET
cana-4932	58	9	spatial	spatial	ADJ
cana-4932	58	10	distribution	distribution	NOUN
cana-4932	58	11	of	of	ADP
cana-4932	58	12	network	network	NOUN
cana-4932	58	13	resources	resource	NOUN
cana-4932	58	14	,	,	PUNCT
cana-4932	58	15	which	which	PRON
cana-4932	58	16	are	be	AUX
cana-4932	58	17	critical	critical	ADJ
cana-4932	58	18	for	for	ADP
cana-4932	58	19	supporting	support	VERB
cana-4932	58	20	the	the	DET
cana-4932	58	21	high	high	ADJ
cana-4932	58	22	data	datum	NOUN
cana-4932	58	23	rates	rate	NOUN
cana-4932	58	24	required	require	VERB
cana-4932	58	25	in	in	ADP
cana-4932	58	26	modern	modern	ADJ
cana-4932	58	27	wireless	wireless	NOUN
cana-4932	58	28	systems	system	NOUN
cana-4932	58	29	.	.	PUNCT
cana-4932	59	1	theoretical	theoretical	ADJ
cana-4932	59	2	studies	study	NOUN
cana-4932	59	3	,	,	PUNCT
cana-4932	59	4	such	such	ADJ
cana-4932	59	5	as	as	ADP
cana-4932	59	6	those	those	PRON
cana-4932	59	7	by	by	ADP
cana-4932	59	8	srinivasa	srinivasa	PROPN
cana-4932	59	9	and	and	CCONJ
cana-4932	59	10	jafar	jafar	PROPN
cana-4932	60	1	[	[	X
cana-4932	60	2	16	16	NUM
cana-4932	60	3	]	]	PUNCT
cana-4932	60	4	and	and	CCONJ
cana-4932	60	5	proakis	proaki	NOUN
cana-4932	61	1	[	[	X
cana-4932	61	2	35	35	NUM
cana-4932	61	3	]	]	PUNCT
cana-4932	61	4	,	,	PUNCT
cana-4932	61	5	provide	provide	VERB
cana-4932	61	6	foundational	foundational	ADJ
cana-4932	61	7	knowledge	knowledge	NOUN
cana-4932	61	8	that	that	PRON
cana-4932	61	9	aids	aid	VERB
cana-4932	61	10	in	in	ADP
cana-4932	61	11	understanding	understand	VERB
cana-4932	61	12	the	the	DET
cana-4932	61	13	limits	limit	NOUN
cana-4932	61	14	and	and	CCONJ
cana-4932	61	15	capabilities	capability	NOUN
cana-4932	61	16	of	of	ADP
cana-4932	61	17	these	these	DET
cana-4932	61	18	complex	complex	ADJ
cana-4932	61	19	systems	system	NOUN
cana-4932	61	20	.	.	PUNCT
cana-4932	62	1	practical	practical	ADJ
cana-4932	62	2	implementations	implementation	NOUN
cana-4932	62	3	,	,	PUNCT
cana-4932	62	4	however	however	ADV
cana-4932	62	5	,	,	PUNCT
cana-4932	62	6	must	must	AUX
cana-4932	62	7	also	also	ADV
cana-4932	62	8	consider	consider	VERB
cana-4932	62	9	the	the	DET
cana-4932	62	10	real	real	ADJ
cana-4932	62	11	-	-	PUNCT
cana-4932	62	12	world	world	NOUN
cana-4932	62	13	variabilities	variability	NOUN
cana-4932	62	14	communications	communication	NOUN
cana-4932	62	15	on	on	ADP
cana-4932	62	16	applied	apply	VERB
cana-4932	62	17	nonlinear	nonlinear	ADJ
cana-4932	62	18	analysis	analysis	NOUN
cana-4932	62	19	issn	issn	NOUN
cana-4932	62	20	:	:	PUNCT
cana-4932	62	21	1074	1074	NUM
cana-4932	62	22	-	-	PUNCT
cana-4932	62	23	133x	133x	NUM
cana-4932	62	24	vol	vol	VERB
cana-4932	62	25	32	32	NUM
cana-4932	62	26	no	no	NOUN
cana-4932	62	27	.	.	PUNCT
cana-4932	63	1	10s	10	NOUN
cana-4932	63	2	(	(	PUNCT
cana-4932	63	3	2025	2025	NUM
cana-4932	63	4	)	)	PUNCT
cana-4932	63	5	979	979	NUM
cana-4932	63	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	63	7	and	and	CCONJ
cana-4932	63	8	imperfections	imperfection	NOUN
cana-4932	63	9	that	that	PRON
cana-4932	63	10	affect	affect	VERB
cana-4932	63	11	system	system	NOUN
cana-4932	63	12	performance	performance	NOUN
cana-4932	63	13	.	.	PUNCT
cana-4932	64	1	this	this	DET
cana-4932	64	2	gap	gap	NOUN
cana-4932	64	3	between	between	ADP
cana-4932	64	4	theoretical	theoretical	ADJ
cana-4932	64	5	potential	potential	ADJ
cana-4932	64	6	and	and	CCONJ
cana-4932	64	7	practical	practical	ADJ
cana-4932	64	8	application	application	NOUN
cana-4932	64	9	is	be	AUX
cana-4932	64	10	a	a	DET
cana-4932	64	11	focal	focal	ADJ
cana-4932	64	12	point	point	NOUN
cana-4932	64	13	of	of	ADP
cana-4932	64	14	ongoing	ongoing	ADJ
cana-4932	64	15	research	research	NOUN
cana-4932	64	16	.	.	PUNCT
cana-4932	65	1	the	the	DET
cana-4932	65	2	integration	integration	NOUN
cana-4932	65	3	of	of	ADP
cana-4932	65	4	noma	noma	PROPN
cana-4932	65	5	with	with	ADP
cana-4932	65	6	cognitive	cognitive	ADJ
cana-4932	65	7	radioenabled	radioenable	VERB
cana-4932	65	8	massive	massive	ADJ
cana-4932	65	9	mimo	mimo	PROPN
cana-4932	65	10	systems	system	NOUN
cana-4932	65	11	also	also	ADV
cana-4932	65	12	presents	present	VERB
cana-4932	65	13	unique	unique	ADJ
cana-4932	65	14	opportunities	opportunity	NOUN
cana-4932	65	15	for	for	ADP
cana-4932	65	16	innovation	innovation	NOUN
cana-4932	65	17	in	in	ADP
cana-4932	65	18	power	power	NOUN
cana-4932	65	19	allocation	allocation	NOUN
cana-4932	65	20	strategies	strategy	NOUN
cana-4932	65	21	.	.	PUNCT
cana-4932	66	1	researchers	researcher	NOUN
cana-4932	66	2	like	like	ADP
cana-4932	66	3	zhou	zhou	PROPN
cana-4932	66	4	et	et	PROPN
cana-4932	66	5	al	al	PROPN
cana-4932	66	6	.	.	PUNCT
cana-4932	67	1	[	[	X
cana-4932	67	2	24	24	NUM
cana-4932	67	3	]	]	PUNCT
cana-4932	67	4	and	and	CCONJ
cana-4932	67	5	glei	glei	NOUN
cana-4932	67	6	and	and	CCONJ
cana-4932	67	7	chibani	chibani	ADJ
cana-4932	67	8	[	[	X
cana-4932	67	9	25	25	NUM
cana-4932	67	10	]	]	PUNCT
cana-4932	67	11	have	have	AUX
cana-4932	67	12	explored	explore	VERB
cana-4932	67	13	power	power	NOUN
cana-4932	67	14	allocation	allocation	NOUN
cana-4932	67	15	mechanisms	mechanism	NOUN
cana-4932	67	16	that	that	PRON
cana-4932	67	17	aim	aim	VERB
cana-4932	67	18	to	to	PART
cana-4932	67	19	maximize	maximize	VERB
cana-4932	67	20	throughput	throughput	NOUN
cana-4932	67	21	while	while	SCONJ
cana-4932	67	22	adhering	adhere	VERB
cana-4932	67	23	to	to	ADP
cana-4932	67	24	the	the	DET
cana-4932	67	25	strict	strict	ADJ
cana-4932	67	26	power	power	NOUN
cana-4932	67	27	constraints	constraint	NOUN
cana-4932	67	28	and	and	CCONJ
cana-4932	67	29	interference	interference	NOUN
cana-4932	67	30	management	management	NOUN
cana-4932	67	31	requirements	requirement	NOUN
cana-4932	67	32	of	of	ADP
cana-4932	67	33	cognitive	cognitive	ADJ
cana-4932	67	34	radios	radio	NOUN
cana-4932	67	35	.	.	PUNCT
cana-4932	68	1	these	these	DET
cana-4932	68	2	studies	study	NOUN
cana-4932	68	3	underscore	underscore	VERB
cana-4932	68	4	the	the	DET
cana-4932	68	5	delicate	delicate	ADJ
cana-4932	68	6	balance	balance	NOUN
cana-4932	68	7	required	require	VERB
cana-4932	68	8	between	between	ADP
cana-4932	68	9	achieving	achieve	VERB
cana-4932	68	10	high	high	ADJ
cana-4932	68	11	throughput	throughput	NOUN
cana-4932	68	12	and	and	CCONJ
cana-4932	68	13	maintaining	maintain	VERB
cana-4932	68	14	fair	fair	ADJ
cana-4932	68	15	access	access	NOUN
cana-4932	68	16	to	to	ADP
cana-4932	68	17	the	the	DET
cana-4932	68	18	spectrum	spectrum	NOUN
cana-4932	68	19	for	for	ADP
cana-4932	68	20	all	all	DET
cana-4932	68	21	users	user	NOUN
cana-4932	68	22	.	.	PUNCT
cana-4932	69	1	on	on	ADP
cana-4932	69	2	the	the	DET
cana-4932	69	3	regulatory	regulatory	ADJ
cana-4932	69	4	and	and	CCONJ
cana-4932	69	5	standardization	standardization	NOUN
cana-4932	69	6	front	front	NOUN
cana-4932	69	7	,	,	PUNCT
cana-4932	69	8	efforts	effort	NOUN
cana-4932	69	9	by	by	ADP
cana-4932	69	10	chen	chen	PROPN
cana-4932	69	11	et	et	PROPN
cana-4932	69	12	al	al	PROPN
cana-4932	69	13	.	.	PUNCT
cana-4932	70	1	[	[	X
cana-4932	70	2	20	20	NUM
cana-4932	70	3	]	]	PUNCT
cana-4932	70	4	and	and	CCONJ
cana-4932	70	5	mohammadi	mohammadi	NOUN
cana-4932	70	6	et	et	PROPN
cana-4932	70	7	al	al	PROPN
cana-4932	70	8	.	.	PUNCT
cana-4932	71	1	[	[	X
cana-4932	71	2	21	21	NUM
cana-4932	71	3	]	]	PUNCT
cana-4932	71	4	aim	aim	VERB
cana-4932	71	5	to	to	PART
cana-4932	71	6	guide	guide	VERB
cana-4932	71	7	the	the	DET
cana-4932	71	8	development	development	NOUN
cana-4932	71	9	of	of	ADP
cana-4932	71	10	frameworks	framework	NOUN
cana-4932	71	11	that	that	PRON
cana-4932	71	12	accommodate	accommodate	VERB
cana-4932	71	13	the	the	DET
cana-4932	71	14	complexities	complexity	NOUN
cana-4932	71	15	of	of	ADP
cana-4932	71	16	noma	noma	PROPN
cana-4932	71	17	in	in	ADP
cana-4932	71	18	cognitive	cognitive	ADJ
cana-4932	71	19	radio	radio	NOUN
cana-4932	71	20	and	and	CCONJ
cana-4932	71	21	massive	massive	ADJ
cana-4932	71	22	mimo	mimo	PROPN
cana-4932	71	23	contexts	contexts	PROPN
cana-4932	71	24	.	.	PUNCT
cana-4932	72	1	these	these	DET
cana-4932	72	2	efforts	effort	NOUN
cana-4932	72	3	are	be	AUX
cana-4932	72	4	crucial	crucial	ADJ
cana-4932	72	5	for	for	ADP
cana-4932	72	6	ensuring	ensure	VERB
cana-4932	72	7	that	that	SCONJ
cana-4932	72	8	technological	technological	ADJ
cana-4932	72	9	advancements	advancement	NOUN
cana-4932	72	10	align	align	VERB
cana-4932	72	11	with	with	ADP
cana-4932	72	12	global	global	ADJ
cana-4932	72	13	standards	standard	NOUN
cana-4932	72	14	and	and	CCONJ
cana-4932	72	15	regulations	regulation	NOUN
cana-4932	72	16	,	,	PUNCT
cana-4932	72	17	facilitating	facilitate	VERB
cana-4932	72	18	wider	wide	ADJ
cana-4932	72	19	adoption	adoption	NOUN
cana-4932	72	20	and	and	CCONJ
cana-4932	72	21	interoperability	interoperability	NOUN
cana-4932	72	22	across	across	ADP
cana-4932	72	23	different	different	ADJ
cana-4932	72	24	networks	network	NOUN
cana-4932	72	25	and	and	CCONJ
cana-4932	72	26	regions	region	NOUN
cana-4932	72	27	.	.	PUNCT
cana-4932	73	1	lastly	lastly	ADV
cana-4932	73	2	,	,	PUNCT
cana-4932	73	3	the	the	DET
cana-4932	73	4	evolution	evolution	NOUN
cana-4932	73	5	of	of	ADP
cana-4932	73	6	5	5	NUM
cana-4932	73	7	g	g	NOUN
cana-4932	73	8	and	and	CCONJ
cana-4932	73	9	beyond	beyond	ADP
cana-4932	73	10	networks	network	NOUN
cana-4932	73	11	brings	bring	VERB
cana-4932	73	12	additional	additional	ADJ
cana-4932	73	13	layers	layer	NOUN
cana-4932	73	14	of	of	ADP
cana-4932	73	15	complexity	complexity	NOUN
cana-4932	73	16	and	and	CCONJ
cana-4932	73	17	opportunity	opportunity	NOUN
cana-4932	73	18	.	.	PUNCT
cana-4932	74	1	the	the	DET
cana-4932	74	2	work	work	NOUN
cana-4932	74	3	by	by	ADP
cana-4932	74	4	sun	sun	PROPN
cana-4932	74	5	et	et	PROPN
cana-4932	74	6	al	al	PROPN
cana-4932	74	7	.	.	PUNCT
cana-4932	75	1	[	[	X
cana-4932	75	2	52	52	NUM
cana-4932	75	3	]	]	PUNCT
cana-4932	75	4	and	and	CCONJ
cana-4932	75	5	liu	liu	PROPN
cana-4932	75	6	et	et	PROPN
cana-4932	75	7	al	al	PROPN
cana-4932	75	8	.	.	PUNCT
cana-4932	76	1	[	[	X
cana-4932	76	2	19	19	NUM
cana-4932	76	3	]	]	PUNCT
cana-4932	76	4	on	on	ADP
cana-4932	76	5	advanced	advanced	PROPN
cana-4932	76	6	mimo	mimo	PROPN
cana-4932	76	7	-	-	PUNCT
cana-4932	76	8	noma	noma	PROPN
cana-4932	76	9	systems	system	NOUN
cana-4932	76	10	and	and	CCONJ
cana-4932	76	11	cognitive	cognitive	ADJ
cana-4932	76	12	relaying	relaying	NOUN
cana-4932	76	13	highlight	highlight	VERB
cana-4932	76	14	the	the	DET
cana-4932	76	15	ongoing	ongoing	ADJ
cana-4932	76	16	innovation	innovation	NOUN
cana-4932	76	17	in	in	ADP
cana-4932	76	18	this	this	DET
cana-4932	76	19	space	space	NOUN
cana-4932	76	20	,	,	PUNCT
cana-4932	76	21	pushing	push	VERB
cana-4932	76	22	the	the	DET
cana-4932	76	23	boundaries	boundary	NOUN
cana-4932	76	24	of	of	ADP
cana-4932	76	25	what	what	PRON
cana-4932	76	26	is	be	AUX
cana-4932	76	27	possible	possible	ADJ
cana-4932	76	28	in	in	ADP
cana-4932	76	29	terms	term	NOUN
cana-4932	76	30	of	of	ADP
cana-4932	76	31	network	network	NOUN
cana-4932	76	32	capacity	capacity	NOUN
cana-4932	76	33	and	and	CCONJ
cana-4932	76	34	efficiency	efficiency	NOUN
cana-4932	76	35	.	.	PUNCT
cana-4932	77	1	a	a	DET
cana-4932	77	2	key	key	ADJ
cana-4932	77	3	distinction	distinction	NOUN
cana-4932	77	4	in	in	ADP
cana-4932	77	5	conducting	conduct	VERB
cana-4932	77	6	this	this	DET
cana-4932	77	7	paper	paper	NOUN
cana-4932	77	8	compared	compare	VERB
cana-4932	77	9	to	to	ADP
cana-4932	77	10	other	other	ADJ
cana-4932	77	11	studies	study	NOUN
cana-4932	77	12	is	be	AUX
cana-4932	77	13	the	the	DET
cana-4932	77	14	proposition	proposition	NOUN
cana-4932	77	15	of	of	ADP
cana-4932	77	16	an	an	DET
cana-4932	77	17	optimal	optimal	ADJ
cana-4932	77	18	method	method	NOUN
cana-4932	77	19	for	for	ADP
cana-4932	77	20	resource	resource	NOUN
cana-4932	77	21	allocation	allocation	NOUN
cana-4932	77	22	in	in	ADP
cana-4932	77	23	a	a	DET
cana-4932	77	24	cognitive	cognitive	ADJ
cana-4932	77	25	radio	radio	NOUN
cana-4932	77	26	network	network	NOUN
cana-4932	77	27	based	base	VERB
cana-4932	77	28	on	on	ADP
cana-4932	77	29	massive	massive	ADJ
cana-4932	77	30	mimo	mimo	PROPN
cana-4932	77	31	and	and	CCONJ
cana-4932	77	32	noma	noma	PROPN
cana-4932	77	33	technologies	technology	NOUN
cana-4932	77	34	.	.	PUNCT
cana-4932	78	1	the	the	DET
cana-4932	78	2	goal	goal	NOUN
cana-4932	78	3	is	be	AUX
cana-4932	78	4	to	to	PART
cana-4932	78	5	maximize	maximize	VERB
cana-4932	78	6	network	network	NOUN
cana-4932	78	7	throughput	throughput	NOUN
cana-4932	78	8	or	or	CCONJ
cana-4932	78	9	sum	sum	NOUN
cana-4932	78	10	rate	rate	NOUN
cana-4932	78	11	in	in	ADP
cana-4932	78	12	the	the	DET
cana-4932	78	13	presence	presence	NOUN
cana-4932	78	14	of	of	ADP
cana-4932	78	15	primary	primary	ADJ
cana-4932	78	16	users	user	NOUN
cana-4932	78	17	.	.	PUNCT
cana-4932	79	1	this	this	DET
cana-4932	79	2	key	key	ADJ
cana-4932	79	3	objective	objective	NOUN
cana-4932	79	4	considers	consider	VERB
cana-4932	79	5	the	the	DET
cana-4932	79	6	interference	interference	NOUN
cana-4932	79	7	introduced	introduce	VERB
cana-4932	79	8	by	by	ADP
cana-4932	79	9	secondary	secondary	ADJ
cana-4932	79	10	users	user	NOUN
cana-4932	79	11	on	on	ADP
cana-4932	79	12	the	the	DET
cana-4932	79	13	primary	primary	ADJ
cana-4932	79	14	user	user	NOUN
cana-4932	79	15	,	,	PUNCT
cana-4932	79	16	the	the	DET
cana-4932	79	17	total	total	ADJ
cana-4932	79	18	transmitted	transmit	VERB
cana-4932	79	19	power	power	NOUN
cana-4932	79	20	constraint	constraint	NOUN
cana-4932	79	21	in	in	ADP
cana-4932	79	22	the	the	DET
cana-4932	79	23	network	network	NOUN
cana-4932	79	24	,	,	PUNCT
cana-4932	79	25	and	and	CCONJ
cana-4932	79	26	ensuring	ensure	VERB
cana-4932	79	27	the	the	DET
cana-4932	79	28	desired	desire	VERB
cana-4932	79	29	snr	snr	PROPN
cana-4932	79	30	for	for	ADP
cana-4932	79	31	the	the	DET
cana-4932	79	32	users	user	NOUN
cana-4932	79	33	.	.	PUNCT
cana-4932	80	1	the	the	DET
cana-4932	80	2	issue	issue	NOUN
cana-4932	80	3	of	of	ADP
cana-4932	80	4	resource	resource	NOUN
cana-4932	80	5	management	management	NOUN
cana-4932	80	6	and	and	CCONJ
cana-4932	80	7	efficiency	efficiency	NOUN
cana-4932	80	8	in	in	ADP
cana-4932	80	9	cognitive	cognitive	ADJ
cana-4932	80	10	radio	radio	NOUN
cana-4932	80	11	networks	network	NOUN
cana-4932	80	12	was	be	AUX
cana-4932	80	13	addressed	address	VERB
cana-4932	80	14	in	in	ADP
cana-4932	80	15	chapter	chapter	NOUN
cana-4932	80	16	2	2	NUM
cana-4932	80	17	,	,	PUNCT
cana-4932	80	18	followed	follow	VERB
cana-4932	80	19	by	by	ADP
cana-4932	80	20	a	a	DET
cana-4932	80	21	review	review	NOUN
cana-4932	80	22	of	of	ADP
cana-4932	80	23	relevant	relevant	ADJ
cana-4932	80	24	references	reference	NOUN
cana-4932	80	25	in	in	ADP
cana-4932	80	26	the	the	DET
cana-4932	80	27	continuation	continuation	NOUN
cana-4932	80	28	of	of	ADP
cana-4932	80	29	this	this	DET
cana-4932	80	30	chapter	chapter	NOUN
cana-4932	80	31	.	.	PUNCT
cana-4932	81	1	in	in	ADP
cana-4932	81	2	chapter	chapter	NOUN
cana-4932	81	3	3	3	NUM
cana-4932	81	4	,	,	PUNCT
cana-4932	81	5	focusing	focus	VERB
cana-4932	81	6	on	on	ADP
cana-4932	81	7	the	the	DET
cana-4932	81	8	selected	select	VERB
cana-4932	81	9	reference	reference	NOUN
cana-4932	81	10	,	,	PUNCT
cana-4932	81	11	the	the	DET
cana-4932	81	12	problem	problem	NOUN
cana-4932	81	13	of	of	ADP
cana-4932	81	14	maximizing	maximize	VERB
cana-4932	81	15	the	the	DET
cana-4932	81	16	network	network	NOUN
cana-4932	81	17	sum	sum	NOUN
cana-4932	81	18	rate	rate	NOUN
cana-4932	81	19	along	along	ADP
cana-4932	81	20	with	with	ADP
cana-4932	81	21	four	four	NUM
cana-4932	81	22	constraints	constraint	NOUN
cana-4932	81	23	was	be	AUX
cana-4932	81	24	introduced	introduce	VERB
cana-4932	81	25	.	.	PUNCT
cana-4932	82	1	the	the	DET
cana-4932	82	2	objective	objective	ADJ
cana-4932	82	3	function	function	NOUN
cana-4932	82	4	of	of	ADP
cana-4932	82	5	the	the	DET
cana-4932	82	6	problem	problem	NOUN
cana-4932	82	7	was	be	AUX
cana-4932	82	8	non	non	ADJ
cana-4932	82	9	-	-	ADJ
cana-4932	82	10	convex	convex	ADJ
cana-4932	82	11	and	and	CCONJ
cana-4932	82	12	the	the	DET
cana-4932	82	13	constraints	constraint	NOUN
cana-4932	82	14	were	be	AUX
cana-4932	82	15	linear	linear	ADJ
cana-4932	82	16	and	and	CCONJ
cana-4932	82	17	convex	convex	PROPN
cana-4932	82	18	,	,	PUNCT
cana-4932	82	19	based	base	VERB
cana-4932	82	20	on	on	ADP
cana-4932	82	21	which	which	PRON
cana-4932	82	22	we	we	PRON
cana-4932	82	23	proposed	propose	VERB
cana-4932	82	24	methods	method	NOUN
cana-4932	82	25	to	to	PART
cana-4932	82	26	enhance	enhance	VERB
cana-4932	82	27	the	the	DET
cana-4932	82	28	spectral	spectral	ADJ
cana-4932	82	29	efficiency	efficiency	NOUN
cana-4932	82	30	and	and	CCONJ
cana-4932	82	31	efficiency	efficiency	NOUN
cana-4932	82	32	of	of	ADP
cana-4932	82	33	the	the	DET
cana-4932	82	34	crmn	crmn	ADJ
cana-4932	82	35	communication	communication	NOUN
cana-4932	82	36	system	system	NOUN
cana-4932	82	37	.	.	PUNCT
cana-4932	83	1	chapter	chapter	NOUN
cana-4932	83	2	4	4	NUM
cana-4932	83	3	analyzed	analyze	VERB
cana-4932	83	4	and	and	CCONJ
cana-4932	83	5	examined	examine	VERB
cana-4932	83	6	the	the	DET
cana-4932	83	7	results	result	NOUN
cana-4932	83	8	obtained	obtain	VERB
cana-4932	83	9	from	from	ADP
cana-4932	83	10	the	the	DET
cana-4932	83	11	simulations	simulation	NOUN
cana-4932	83	12	conducted	conduct	VERB
cana-4932	83	13	based	base	VERB
cana-4932	83	14	on	on	ADP
cana-4932	83	15	our	our	PRON
cana-4932	83	16	proposed	propose	VERB
cana-4932	83	17	methods	method	NOUN
cana-4932	83	18	,	,	PUNCT
cana-4932	83	19	comparing	compare	VERB
cana-4932	83	20	the	the	DET
cana-4932	83	21	strengths	strength	NOUN
cana-4932	83	22	and	and	CCONJ
cana-4932	83	23	weaknesses	weakness	NOUN
cana-4932	83	24	of	of	ADP
cana-4932	83	25	each	each	DET
cana-4932	83	26	method	method	NOUN
cana-4932	83	27	through	through	ADP
cana-4932	83	28	several	several	ADJ
cana-4932	83	29	graphs	graph	NOUN
cana-4932	83	30	.	.	PUNCT
cana-4932	84	1	finally	finally	ADV
cana-4932	84	2	,	,	PUNCT
cana-4932	84	3	in	in	ADP
cana-4932	84	4	the	the	DET
cana-4932	84	5	concluding	conclude	VERB
cana-4932	84	6	chapter	chapter	NOUN
cana-4932	84	7	of	of	ADP
cana-4932	84	8	this	this	DET
cana-4932	84	9	paper	paper	NOUN
cana-4932	84	10	,	,	PUNCT
cana-4932	84	11	we	we	PRON
cana-4932	84	12	intend	intend	VERB
cana-4932	84	13	to	to	PART
cana-4932	84	14	provide	provide	VERB
cana-4932	84	15	a	a	DET
cana-4932	84	16	brief	brief	ADJ
cana-4932	84	17	summary	summary	NOUN
cana-4932	84	18	of	of	ADP
cana-4932	84	19	the	the	DET
cana-4932	84	20	proposed	propose	VERB
cana-4932	84	21	methods	method	NOUN
cana-4932	84	22	and	and	CCONJ
cana-4932	84	23	the	the	DET
cana-4932	84	24	work	work	NOUN
cana-4932	84	25	carried	carry	VERB
cana-4932	84	26	out	out	ADP
cana-4932	84	27	in	in	ADP
cana-4932	84	28	this	this	DET
cana-4932	84	29	research	research	NOUN
cana-4932	84	30	.	.	PUNCT
cana-4932	85	1	2research	2research	NUM
cana-4932	85	2	background	background	NOUN
cana-4932	85	3	2	2	NUM
cana-4932	85	4	-	-	SYM
cana-4932	85	5	1	1	NUM
cana-4932	85	6	proposed	propose	VERB
cana-4932	85	7	system	system	NOUN
cana-4932	85	8	model	model	NOUN
cana-4932	85	9	of	of	ADP
cana-4932	85	10	the	the	DET
cana-4932	85	11	problem	problem	NOUN
cana-4932	85	12	as	as	SCONJ
cana-4932	85	13	mentioned	mention	VERB
cana-4932	85	14	in	in	ADP
cana-4932	85	15	the	the	DET
cana-4932	85	16	previous	previous	ADJ
cana-4932	85	17	chapter	chapter	NOUN
cana-4932	85	18	,	,	PUNCT
cana-4932	85	19	this	this	DET
cana-4932	85	20	chapter	chapter	NOUN
cana-4932	85	21	of	of	ADP
cana-4932	85	22	the	the	DET
cana-4932	85	23	paper	paper	NOUN
cana-4932	85	24	will	will	AUX
cana-4932	85	25	delve	delve	VERB
cana-4932	85	26	into	into	ADP
cana-4932	85	27	the	the	DET
cana-4932	85	28	investigation	investigation	NOUN
cana-4932	85	29	of	of	ADP
cana-4932	85	30	power	power	NOUN
cana-4932	85	31	allocation	allocation	NOUN
cana-4932	85	32	in	in	ADP
cana-4932	85	33	a	a	DET
cana-4932	85	34	cognitive	cognitive	ADJ
cana-4932	85	35	radio	radio	NOUN
cana-4932	85	36	network	network	NOUN
cana-4932	85	37	based	base	VERB
cana-4932	85	38	on	on	ADP
cana-4932	85	39	noma	noma	PROPN
cana-4932	85	40	technology	technology	PROPN
cana-4932	85	41	with	with	ADP
cana-4932	85	42	multiple	multiple	ADJ
cana-4932	85	43	massive	massive	ADJ
cana-4932	85	44	antennas	antenna	NOUN
cana-4932	85	45	.	.	PUNCT
cana-4932	86	1	reference	reference	NOUN
cana-4932	87	1	[	[	X
cana-4932	87	2	66	66	NUM
cana-4932	87	3	]	]	PUNCT
cana-4932	87	4	has	have	AUX
cana-4932	87	5	been	be	AUX
cana-4932	87	6	selected	select	VERB
cana-4932	87	7	as	as	ADP
cana-4932	87	8	the	the	DET
cana-4932	87	9	primary	primary	ADJ
cana-4932	87	10	source	source	NOUN
cana-4932	87	11	due	due	ADP
cana-4932	87	12	to	to	ADP
cana-4932	87	13	its	its	PRON
cana-4932	87	14	relevance	relevance	NOUN
cana-4932	87	15	to	to	ADP
cana-4932	87	16	the	the	DET
cana-4932	87	17	theme	theme	NOUN
cana-4932	87	18	of	of	ADP
cana-4932	87	19	this	this	DET
cana-4932	87	20	paper	paper	NOUN
cana-4932	87	21	in	in	ADP
cana-4932	87	22	certain	certain	ADJ
cana-4932	87	23	aspects	aspect	NOUN
cana-4932	87	24	such	such	ADJ
cana-4932	87	25	as	as	ADP
cana-4932	87	26	noma	noma	PROPN
cana-4932	87	27	discussion	discussion	NOUN
cana-4932	87	28	,	,	PUNCT
cana-4932	87	29	user	user	NOUN
cana-4932	87	30	clustering	clustering	NOUN
cana-4932	87	31	,	,	PUNCT
cana-4932	87	32	multi	multi	ADJ
cana-4932	87	33	-	-	ADJ
cana-4932	87	34	antenna	antenna	ADJ
cana-4932	87	35	base	base	NOUN
cana-4932	87	36	station	station	NOUN
cana-4932	87	37	,	,	PUNCT
cana-4932	87	38	and	and	CCONJ
cana-4932	87	39	optimization	optimization	NOUN
cana-4932	87	40	parameters	parameter	NOUN
cana-4932	87	41	.	.	PUNCT
cana-4932	88	1	unlike	unlike	ADP
cana-4932	88	2	other	other	ADJ
cana-4932	88	3	articles	article	NOUN
cana-4932	88	4	,	,	PUNCT
cana-4932	88	5	in	in	ADP
cana-4932	88	6	articles	article	NOUN
cana-4932	88	7	[	[	X
cana-4932	88	8	53	53	NUM
cana-4932	88	9	]	]	PUNCT
cana-4932	88	10	and	and	CCONJ
cana-4932	88	11	[	[	X
cana-4932	88	12	66	66	NUM
cana-4932	88	13	]	]	PUNCT
cana-4932	88	14	,	,	PUNCT
cana-4932	88	15	the	the	DET
cana-4932	88	16	number	number	NOUN
cana-4932	88	17	of	of	ADP
cana-4932	88	18	users	user	NOUN
cana-4932	88	19	in	in	ADP
cana-4932	88	20	a	a	DET
cana-4932	88	21	noma	noma	NOUN
cana-4932	88	22	-	-	PUNCT
cana-4932	88	23	based	base	VERB
cana-4932	88	24	system	system	NOUN
cana-4932	88	25	within	within	ADP
cana-4932	88	26	each	each	DET
cana-4932	88	27	cluster	cluster	NOUN
cana-4932	88	28	is	be	AUX
cana-4932	88	29	more	more	ADJ
cana-4932	88	30	than	than	ADP
cana-4932	88	31	2	2	NUM
cana-4932	88	32	users	user	NOUN
cana-4932	88	33	.	.	PUNCT
cana-4932	89	1	as	as	SCONJ
cana-4932	89	2	depicted	depict	VERB
cana-4932	89	3	in	in	ADP
cana-4932	89	4	the	the	DET
cana-4932	89	5	following	follow	VERB
cana-4932	89	6	system	system	NOUN
cana-4932	89	7	model	model	NOUN
cana-4932	89	8	,	,	PUNCT
cana-4932	89	9	in	in	ADP
cana-4932	89	10	this	this	DET
cana-4932	89	11	cognitive	cognitive	ADJ
cana-4932	89	12	radio	radio	NOUN
cana-4932	89	13	network	network	NOUN
cana-4932	89	14	,	,	PUNCT
cana-4932	89	15	a	a	DET
cana-4932	89	16	cognitive	cognitive	ADJ
cana-4932	89	17	radio	radio	NOUN
cana-4932	89	18	base	base	NOUN
cana-4932	89	19	station	station	NOUN
cana-4932	89	20	with	with	ADP
cana-4932	89	21	multiple	multiple	ADJ
cana-4932	89	22	antennas	antenna	NOUN
cana-4932	89	23	,	,	PUNCT
cana-4932	89	24	having	have	VERB
cana-4932	89	25	𝑁	𝑁	PROPN
cana-4932	89	26	transmit	transmit	VERB
cana-4932	89	27	antennas	antenna	NOUN
cana-4932	89	28	serving	serve	VERB
cana-4932	89	29	a	a	DET
cana-4932	89	30	primary	primary	ADJ
cana-4932	89	31	user	user	NOUN
cana-4932	89	32	and	and	CCONJ
cana-4932	89	33	𝑈	𝑈	PROPN
cana-4932	89	34	secondary	secondary	ADJ
cana-4932	89	35	communications	communication	NOUN
cana-4932	89	36	on	on	ADP
cana-4932	89	37	applied	apply	VERB
cana-4932	89	38	nonlinear	nonlinear	ADJ
cana-4932	89	39	analysis	analysis	NOUN
cana-4932	89	40	issn	issn	NOUN
cana-4932	89	41	:	:	PUNCT
cana-4932	89	42	1074	1074	NUM
cana-4932	89	43	-	-	PUNCT
cana-4932	89	44	133x	133x	NUM
cana-4932	89	45	vol	vol	VERB
cana-4932	89	46	32	32	NUM
cana-4932	89	47	no	no	NOUN
cana-4932	89	48	.	.	PUNCT
cana-4932	90	1	10s	10	NOUN
cana-4932	90	2	(	(	PUNCT
cana-4932	90	3	2025	2025	NUM
cana-4932	90	4	)	)	PUNCT
cana-4932	90	5	980	980	NUM
cana-4932	90	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	90	7	users	user	NOUN
cana-4932	90	8	with	with	ADP
cana-4932	90	9	a	a	DET
cana-4932	90	10	single	single	ADJ
cana-4932	90	11	antenna	antenna	NOUN
cana-4932	90	12	each	each	PRON
cana-4932	90	13	,	,	PUNCT
cana-4932	90	14	based	base	VERB
cana-4932	90	15	on	on	ADP
cana-4932	90	16	noma	noma	PROPN
cana-4932	90	17	and	and	CCONJ
cana-4932	90	18	sdma	sdma	PROPN
cana-4932	90	19	technologies	technology	NOUN
cana-4932	90	20	,	,	PUNCT
cana-4932	90	21	and	and	CCONJ
cana-4932	90	22	is	be	AUX
cana-4932	90	23	considered	consider	VERB
cana-4932	90	24	according	accord	VERB
cana-4932	90	25	to	to	ADP
cana-4932	90	26	the	the	DET
cana-4932	90	27	downlink	downlink	NOUN
cana-4932	90	28	communication	communication	NOUN
cana-4932	90	29	state	state	NOUN
cana-4932	90	30	in	in	ADP
cana-4932	90	31	a	a	DET
cana-4932	90	32	cell	cell	NOUN
cana-4932	90	33	.	.	PUNCT
cana-4932	91	1	each	each	DET
cana-4932	91	2	user	user	NOUN
cana-4932	91	3	occupies	occupy	VERB
cana-4932	91	4	a	a	DET
cana-4932	91	5	specific	specific	ADJ
cana-4932	91	6	spectrum	spectrum	NOUN
cana-4932	91	7	in	in	ADP
cana-4932	91	8	the	the	DET
cana-4932	91	9	available	available	ADJ
cana-4932	91	10	frequency	frequency	NOUN
cana-4932	91	11	spectrum	spectrum	NOUN
cana-4932	91	12	.	.	PUNCT
cana-4932	92	1	the	the	DET
cana-4932	92	2	spectral	spectral	ADJ
cana-4932	92	3	sharing	sharing	NOUN
cana-4932	92	4	between	between	ADP
cana-4932	92	5	secondary	secondary	ADJ
cana-4932	92	6	and	and	CCONJ
cana-4932	92	7	primary	primary	ADJ
cana-4932	92	8	users	user	NOUN
cana-4932	92	9	is	be	AUX
cana-4932	92	10	considered	consider	VERB
cana-4932	92	11	in	in	ADP
cana-4932	92	12	an	an	DET
cana-4932	92	13	underlay	underlay	NOUN
cana-4932	92	14	access	access	NOUN
cana-4932	92	15	pattern	pattern	NOUN
cana-4932	92	16	.	.	PUNCT
cana-4932	93	1	the	the	DET
cana-4932	93	2	proposed	propose	VERB
cana-4932	93	3	system	system	NOUN
cana-4932	93	4	model	model	NOUN
cana-4932	93	5	's	's	PART
cana-4932	93	6	primary	primary	ADJ
cana-4932	93	7	network	network	NOUN
cana-4932	93	8	includes	include	VERB
cana-4932	93	9	a	a	DET
cana-4932	93	10	primary	primary	ADJ
cana-4932	93	11	user	user	NOUN
cana-4932	93	12	with	with	ADP
cana-4932	93	13	a	a	DET
cana-4932	93	14	single	single	ADJ
cana-4932	93	15	transmit	transmit	NOUN
cana-4932	93	16	and	and	CCONJ
cana-4932	93	17	receive	receive	VERB
cana-4932	93	18	antenna	antenna	NOUN
cana-4932	93	19	.	.	PUNCT
cana-4932	94	1	the	the	DET
cana-4932	94	2	𝑈	𝑈	PROPN
cana-4932	94	3	users	user	NOUN
cana-4932	94	4	are	be	AUX
cana-4932	94	5	grouped	group	VERB
cana-4932	94	6	in	in	ADP
cana-4932	94	7	𝐺	𝐺	PROPN
cana-4932	94	8	clusters	cluster	NOUN
cana-4932	94	9	(	(	PUNCT
cana-4932	94	10	𝐺<𝑈	𝐺<𝑈	NOUN
cana-4932	94	11	)	)	PUNCT
cana-4932	94	12	.	.	PUNCT
cana-4932	95	1	the	the	DET
cana-4932	95	2	number	number	NOUN
cana-4932	95	3	of	of	ADP
cana-4932	95	4	users	user	NOUN
cana-4932	95	5	assigned	assign	VERB
cana-4932	95	6	to	to	ADP
cana-4932	95	7	cluster	cluster	NOUN
cana-4932	95	8	𝑔	𝑔	PROPN
cana-4932	95	9	is	be	AUX
cana-4932	95	10	being	be	AUX
cana-4932	95	11	considered	consider	VERB
cana-4932	95	12	as	as	ADP
cana-4932	95	13	𝑁𝑔.	𝑁𝑔.	PROPN
cana-4932	95	14	fig	fig	NOUN
cana-4932	95	15	.	.	PUNCT
cana-4932	96	1	3	3	NUM
cana-4932	96	2	:	:	PUNCT
cana-4932	96	3	proposed	propose	VERB
cana-4932	96	4	crmn	crmn	NOUN
cana-4932	96	5	(	(	PUNCT
cana-4932	96	6	cognitive	cognitive	ADJ
cana-4932	96	7	-	-	PUNCT
cana-4932	96	8	radio	radio	NOUN
cana-4932	96	9	-	-	PUNCT
cana-4932	96	10	mimo	mimo	NOUN
cana-4932	96	11	-	-	PUNCT
cana-4932	96	12	noma	noma	PROPN
cana-4932	96	13	)	)	PUNCT
cana-4932	96	14	system	system	NOUN
cana-4932	96	15	model	model	NOUN
cana-4932	96	16	in	in	ADP
cana-4932	96	17	the	the	DET
cana-4932	96	18	system	system	NOUN
cana-4932	96	19	model	model	NOUN
cana-4932	96	20	shown	show	VERB
cana-4932	96	21	in	in	ADP
cana-4932	96	22	fig	fig	NOUN
cana-4932	96	23	.	.	PUNCT
cana-4932	97	1	1	1	NUM
cana-4932	97	2	-	-	SYM
cana-4932	97	3	3	3	NUM
cana-4932	97	4	,	,	PUNCT
cana-4932	97	5	the	the	DET
cana-4932	97	6	minimum	minimum	ADJ
cana-4932	97	7	number	number	NOUN
cana-4932	97	8	of	of	ADP
cana-4932	97	9	users	user	NOUN
cana-4932	97	10	in	in	ADP
cana-4932	97	11	each	each	DET
cana-4932	97	12	cluster	cluster	NOUN
cana-4932	97	13	is	be	AUX
cana-4932	97	14	one	one	NUM
cana-4932	97	15	user	user	NOUN
cana-4932	97	16	,	,	PUNCT
cana-4932	97	17	and	and	CCONJ
cana-4932	97	18	the	the	DET
cana-4932	97	19	number	number	NOUN
cana-4932	97	20	of	of	ADP
cana-4932	97	21	users	user	NOUN
cana-4932	97	22	in	in	ADP
cana-4932	97	23	each	each	DET
cana-4932	97	24	cluster	cluster	NOUN
cana-4932	97	25	is	be	AUX
cana-4932	97	26	different	different	ADJ
cana-4932	97	27	from	from	ADP
cana-4932	97	28	the	the	DET
cana-4932	97	29	number	number	NOUN
cana-4932	97	30	of	of	ADP
cana-4932	97	31	users	user	NOUN
cana-4932	97	32	in	in	ADP
cana-4932	97	33	other	other	ADJ
cana-4932	97	34	clusters	cluster	NOUN
cana-4932	97	35	.	.	PUNCT
cana-4932	98	1	on	on	ADP
cana-4932	98	2	the	the	DET
cana-4932	98	3	other	other	ADJ
cana-4932	98	4	hand	hand	NOUN
cana-4932	98	5	,	,	PUNCT
cana-4932	98	6	due	due	ADP
cana-4932	98	7	to	to	ADP
cana-4932	98	8	the	the	DET
cana-4932	98	9	fact	fact	NOUN
cana-4932	98	10	that	that	SCONJ
cana-4932	98	11	the	the	DET
cana-4932	98	12	system	system	NOUN
cana-4932	98	13	model	model	NOUN
cana-4932	98	14	is	be	AUX
cana-4932	98	15	considered	consider	VERB
cana-4932	98	16	to	to	PART
cana-4932	98	17	be	be	AUX
cana-4932	98	18	a	a	DET
cana-4932	98	19	massive	massive	ADJ
cana-4932	98	20	multi	multi	ADJ
cana-4932	98	21	-	-	NOUN
cana-4932	98	22	antenna	antenna	NOUN
cana-4932	98	23	,	,	PUNCT
cana-4932	98	24	our	our	PRON
cana-4932	98	25	assumption	assumption	NOUN
cana-4932	98	26	is	be	AUX
cana-4932	98	27	that	that	SCONJ
cana-4932	98	28	the	the	DET
cana-4932	98	29	number	number	NOUN
cana-4932	98	30	of	of	ADP
cana-4932	98	31	cbs	cbs	PROPN
cana-4932	98	32	transmitting	transmit	VERB
cana-4932	98	33	antennas	antenna	NOUN
cana-4932	98	34	is	be	AUX
cana-4932	98	35	much	much	ADV
cana-4932	98	36	more	more	ADJ
cana-4932	98	37	than	than	ADP
cana-4932	98	38	the	the	DET
cana-4932	98	39	number	number	NOUN
cana-4932	98	40	of	of	ADP
cana-4932	98	41	receiving	receive	VERB
cana-4932	98	42	antennas	antenna	NOUN
cana-4932	98	43	of	of	ADP
cana-4932	98	44	all	all	DET
cana-4932	98	45	users	user	NOUN
cana-4932	98	46	,	,	PUNCT
cana-4932	98	47	so	so	SCONJ
cana-4932	98	48	the	the	DET
cana-4932	98	49	relationship	relationship	NOUN
cana-4932	98	50	𝑁≫𝑈	𝑁≫𝑈	PROPN
cana-4932	98	51	is	be	AUX
cana-4932	98	52	established	establish	VERB
cana-4932	98	53	.	.	PUNCT
cana-4932	99	1	2	2	NUM
cana-4932	99	2	-	-	SYM
cana-4932	99	3	2	2	NUM
cana-4932	99	4	signal	signal	NOUN
cana-4932	99	5	model	model	NOUN
cana-4932	99	6	and	and	CCONJ
cana-4932	99	7	mathematical	mathematical	ADJ
cana-4932	99	8	relationships	relationship	NOUN
cana-4932	99	9	in	in	ADP
cana-4932	99	10	order	order	NOUN
cana-4932	99	11	to	to	ADP
cana-4932	99	12	beamforming	beamforme	VERB
cana-4932	99	13	,	,	PUNCT
cana-4932	99	14	the	the	DET
cana-4932	99	15	transmitter	transmitter	NOUN
cana-4932	99	16	of	of	ADP
cana-4932	99	17	a	a	DET
cana-4932	99	18	base	base	NOUN
cana-4932	99	19	station	station	NOUN
cana-4932	99	20	employs	employ	VERB
cana-4932	99	21	a	a	DET
cana-4932	99	22	digital	digital	ADJ
cana-4932	99	23	pre	pre	NOUN
cana-4932	99	24	-	-	NOUN
cana-4932	99	25	coder	coder	ADJ
cana-4932	99	26	when	when	SCONJ
cana-4932	99	27	transmitting	transmit	VERB
cana-4932	99	28	signals	signal	NOUN
cana-4932	99	29	to	to	ADP
cana-4932	99	30	users	user	NOUN
cana-4932	99	31	.	.	PUNCT
cana-4932	100	1	the	the	DET
cana-4932	100	2	pre	pre	ADJ
cana-4932	100	3	-	-	ADJ
cana-4932	100	4	coding	coding	ADJ
cana-4932	100	5	matrix	matrix	NOUN
cana-4932	100	6	for	for	ADP
cana-4932	100	7	digital	digital	ADJ
cana-4932	100	8	pre	pre	ADJ
cana-4932	100	9	-	-	ADJ
cana-4932	100	10	coding	coding	ADJ
cana-4932	100	11	is	be	AUX
cana-4932	100	12	denoted	denote	VERB
cana-4932	100	13	by	by	ADP
cana-4932	100	14	𝐷.	𝐷.	PROPN
cana-4932	100	15	the	the	DET
cana-4932	100	16	columns	column	NOUN
cana-4932	100	17	of	of	ADP
cana-4932	100	18	this	this	DET
cana-4932	100	19	matrix	matrix	NOUN
cana-4932	100	20	are	be	AUX
cana-4932	100	21	normalized	normalize	VERB
cana-4932	100	22	,	,	PUNCT
cana-4932	100	23	and	and	CCONJ
cana-4932	100	24	its	its	PRON
cana-4932	100	25	dimensions	dimension	NOUN
cana-4932	100	26	are	be	AUX
cana-4932	100	27	𝑁	𝑁	PROPN
cana-4932	100	28	×	×	PROPN
cana-4932	100	29	𝐺	𝐺	PROPN
cana-4932	100	30	,	,	PUNCT
cana-4932	100	31	defined	define	VERB
cana-4932	100	32	as	as	SCONJ
cana-4932	100	33	follows	follow	VERB
cana-4932	100	34	:	:	PUNCT
cana-4932	100	35	𝑫	𝑫	PROPN
cana-4932	100	36	=	=	SYM
cana-4932	101	1	[	[	X
cana-4932	101	2	𝒅1	𝒅1	PROPN
cana-4932	101	3	.	.	PUNCT
cana-4932	102	1	𝒅𝟐.	𝒅𝟐.	NOUN
cana-4932	102	2	⋯	⋯	PROPN
cana-4932	102	3	.	.	PUNCT
cana-4932	103	1	𝒅𝑮	𝒅𝑮	PROPN
cana-4932	103	2	]	]	X
cana-4932	103	3	(	(	PUNCT
cana-4932	103	4	1	1	NUM
cana-4932	103	5	-	-	SYM
cana-4932	103	6	3	3	NUM
cana-4932	103	7	)	)	PUNCT
cana-4932	103	8	in	in	ADP
cana-4932	103	9	equations	equation	NOUN
cana-4932	103	10	(	(	PUNCT
cana-4932	103	11	1	1	NUM
cana-4932	103	12	-	-	SYM
cana-4932	103	13	3	3	NUM
cana-4932	103	14	)	)	PUNCT
cana-4932	103	15	,	,	PUNCT
cana-4932	103	16	the	the	PRON
cana-4932	103	17	normalized	normalize	VERB
cana-4932	103	18	digital	digital	ADJ
cana-4932	103	19	precoding	precoding	NOUN
cana-4932	103	20	vector	vector	NOUN
cana-4932	103	21	corresponding	correspond	VERB
cana-4932	103	22	to	to	ADP
cana-4932	103	23	cluster	cluster	NOUN
cana-4932	103	24	(	(	PUNCT
cana-4932	103	25	g	g	NOUN
cana-4932	103	26	)	)	PUNCT
cana-4932	103	27	is	be	AUX
cana-4932	103	28	represented	represent	VERB
cana-4932	103	29	as	as	ADP
cana-4932	103	30	𝒅𝒈	𝒅𝒈	ADP
cana-4932	103	31	∈	∈	PROPN
cana-4932	103	32	𝐶	𝐶	PROPN
cana-4932	103	33	𝑁×1	𝑁×1	PROPN
cana-4932	103	34	and	and	CCONJ
cana-4932	103	35	is	be	AUX
cana-4932	103	36	utilized	utilize	VERB
cana-4932	103	37	in	in	ADP
cana-4932	103	38	the	the	DET
cana-4932	103	39	primary	primary	ADJ
cana-4932	103	40	user	user	NOUN
cana-4932	103	41	channel	channel	NOUN
cana-4932	103	42	and	and	CCONJ
cana-4932	103	43	secondary	secondary	ADJ
cana-4932	103	44	users	user	NOUN
cana-4932	103	45	.	.	PUNCT
cana-4932	104	1	the	the	DET
cana-4932	104	2	transmitted	transmit	VERB
cana-4932	104	3	signal	signal	NOUN
cana-4932	104	4	vector	vector	NOUN
cana-4932	104	5	from	from	ADP
cana-4932	104	6	the	the	DET
cana-4932	104	7	antennas	antenna	NOUN
cana-4932	104	8	of	of	ADP
cana-4932	104	9	the	the	DET
cana-4932	104	10	base	base	NOUN
cana-4932	104	11	station	station	NOUN
cana-4932	104	12	is	be	AUX
cana-4932	104	13	𝒙	𝒙	PROPN
cana-4932	104	14	∈	∈	PROPN
cana-4932	104	15	𝐶𝑁×1	𝐶𝑁×1	X
cana-4932	104	16	and	and	CCONJ
cana-4932	104	17	is	be	AUX
cana-4932	104	18	formulated	formulate	VERB
cana-4932	104	19	as	as	SCONJ
cana-4932	104	20	follows	follow	VERB
cana-4932	104	21	:	:	PUNCT
cana-4932	105	1	𝒙	𝒙	X
cana-4932	105	2	=	=	SYM
cana-4932	105	3	𝑫𝒔	𝑫𝒔	PROPN
cana-4932	105	4	(	(	PUNCT
cana-4932	105	5	2	2	NUM
cana-4932	105	6	-	-	SYM
cana-4932	105	7	3	3	NUM
cana-4932	105	8	)	)	PUNCT
cana-4932	105	9	the	the	DET
cana-4932	105	10	transmitted	transmit	VERB
cana-4932	105	11	symbol	symbol	NOUN
cana-4932	105	12	vector	vector	NOUN
cana-4932	105	13	for	for	ADP
cana-4932	105	14	each	each	DET
cana-4932	105	15	cluster	cluster	NOUN
cana-4932	105	16	,	,	PUNCT
cana-4932	105	17	as	as	SCONJ
cana-4932	105	18	shown	show	VERB
cana-4932	105	19	in	in	ADP
cana-4932	105	20	equation	equation	NOUN
cana-4932	105	21	(	(	PUNCT
cana-4932	105	22	2	2	NUM
cana-4932	105	23	-	-	SYM
cana-4932	105	24	3	3	NUM
cana-4932	105	25	)	)	PUNCT
cana-4932	105	26	,	,	PUNCT
cana-4932	105	27	𝒔	𝒔	PRON
cana-4932	105	28	∈	∈	PROPN
cana-4932	105	29	𝐶𝑁×1	𝐶𝑁×1	X
cana-4932	105	30	is	be	AUX
cana-4932	105	31	defined	define	VERB
cana-4932	105	32	as	as	ADP
cana-4932	105	33	𝒔	𝒔	X
cana-4932	105	34	=	=	SYM
cana-4932	106	1	[	[	X
cana-4932	106	2	𝑠1	𝑠1	PROPN
cana-4932	106	3	.	.	PUNCT
cana-4932	107	1	𝑠2	𝑠2	PROPN
cana-4932	107	2	.	.	PUNCT
cana-4932	108	1	⋯	⋯	NOUN
cana-4932	108	2	.	.	PUNCT
cana-4932	109	1	𝑠𝐺	𝑠𝐺	PROPN
cana-4932	109	2	]	]	PUNCT
cana-4932	109	3	𝑇.	𝑇.	PROPN
cana-4932	109	4	the	the	DET
cana-4932	109	5	transmitted	transmit	VERB
cana-4932	109	6	symbols	symbol	NOUN
cana-4932	109	7	of	of	ADP
cana-4932	109	8	the	the	DET
cana-4932	109	9	primary	primary	ADJ
cana-4932	109	10	and	and	CCONJ
cana-4932	109	11	secondary	secondary	ADJ
cana-4932	109	12	users	user	NOUN
cana-4932	109	13	from	from	ADP
cana-4932	109	14	the	the	DET
cana-4932	109	15	base	base	NOUN
cana-4932	109	16	station	station	NOUN
cana-4932	109	17	for	for	ADP
cana-4932	109	18	communications	communication	NOUN
cana-4932	109	19	on	on	ADP
cana-4932	109	20	applied	apply	VERB
cana-4932	109	21	nonlinear	nonlinear	ADJ
cana-4932	109	22	analysis	analysis	NOUN
cana-4932	109	23	issn	issn	NOUN
cana-4932	109	24	:	:	PUNCT
cana-4932	109	25	1074	1074	NUM
cana-4932	109	26	-	-	PUNCT
cana-4932	109	27	133x	133x	NUM
cana-4932	109	28	vol	vol	VERB
cana-4932	109	29	32	32	NUM
cana-4932	109	30	no	no	NOUN
cana-4932	109	31	.	.	PUNCT
cana-4932	110	1	10s	10	NOUN
cana-4932	110	2	(	(	PUNCT
cana-4932	110	3	2025	2025	NUM
cana-4932	110	4	)	)	PUNCT
cana-4932	110	5	981	981	NUM
cana-4932	110	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	110	7	g	g	NOUN
cana-4932	110	8	cluster	cluster	NOUN
cana-4932	110	9	are	be	AUX
cana-4932	110	10	denoted	denote	VERB
cana-4932	110	11	as	as	ADP
cana-4932	110	12	𝑠𝑔	𝑠𝑔	NOUN
cana-4932	110	13	,	,	PUNCT
cana-4932	110	14	and	and	CCONJ
cana-4932	110	15	the	the	DET
cana-4932	110	16	application	application	NOUN
cana-4932	110	17	of	of	ADP
cana-4932	110	18	the	the	DET
cana-4932	110	19	superposition	superposition	NOUN
cana-4932	110	20	coding	code	VERB
cana-4932	110	21	scheme	scheme	NOUN
cana-4932	110	22	in	in	ADP
cana-4932	110	23	the	the	DET
cana-4932	110	24	power	power	NOUN
cana-4932	110	25	domain	domain	NOUN
cana-4932	110	26	is	be	AUX
cana-4932	110	27	as	as	SCONJ
cana-4932	110	28	follows	follow	VERB
cana-4932	110	29	:	:	PUNCT
cana-4932	111	1	𝑠𝐺−𝑆𝑈	𝑠𝐺−𝑆𝑈	NUM
cana-4932	111	2	=	=	SYM
cana-4932	111	3	∑	∑	PUNCT
cana-4932	111	4	√𝑝𝑔∙𝑚	√𝑝𝑔∙𝑚	PROPN
cana-4932	111	5	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	111	6	𝑚=1	𝑚=1	PUNCT
cana-4932	111	7	𝑠𝑔∙𝑚−𝑆𝑈	𝑠𝑔∙𝑚−𝑆𝑈	NOUN
cana-4932	111	8	𝑠𝐺−𝑃𝑈	𝑠𝐺−𝑃𝑈	NUM
cana-4932	111	9	=	=	SYM
cana-4932	111	10	∑	∑	PUNCT
cana-4932	111	11	√𝑝𝑔∙𝑚	√𝑝𝑔∙𝑚	PROPN
cana-4932	111	12	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	111	13	𝑚=1	𝑚=1	X
cana-4932	111	14	𝑠𝑔∙𝑚−𝑃𝑈	𝑠𝑔∙𝑚−𝑃𝑈	NOUN
cana-4932	111	15	(	(	PUNCT
cana-4932	111	16	3	3	NUM
cana-4932	111	17	-	-	SYM
cana-4932	111	18	3	3	NUM
cana-4932	111	19	)	)	PUNCT
cana-4932	111	20	in	in	ADP
cana-4932	111	21	eq	eq	ADP
cana-4932	111	22	.	.	PUNCT
cana-4932	112	1	(	(	PUNCT
cana-4932	112	2	3	3	NUM
cana-4932	112	3	-	-	SYM
cana-4932	112	4	3	3	NUM
cana-4932	112	5	)	)	PUNCT
cana-4932	112	6	,	,	PUNCT
cana-4932	112	7	𝑝𝑔∙𝑚	𝑝𝑔∙𝑚	NOUN
cana-4932	112	8	represents	represent	VERB
cana-4932	112	9	the	the	DET
cana-4932	112	10	power	power	NOUN
cana-4932	112	11	allocated	allocate	VERB
cana-4932	112	12	to	to	ADP
cana-4932	112	13	user	user	NOUN
cana-4932	112	14	𝑚	𝑚	PROPN
cana-4932	112	15	in	in	ADP
cana-4932	112	16	cluster	cluster	NOUN
cana-4932	112	17	g	g	NOUN
cana-4932	112	18	,	,	PUNCT
cana-4932	112	19	and	and	CCONJ
cana-4932	112	20	𝑠𝑔∙𝑚denotes	𝑠𝑔∙𝑚denote	VERB
cana-4932	112	21	the	the	DET
cana-4932	112	22	message	message	NOUN
cana-4932	112	23	symbol	symbol	NOUN
cana-4932	112	24	.	.	PUNCT
cana-4932	113	1	the	the	DET
cana-4932	113	2	transmitted	transmit	VERB
cana-4932	113	3	message	message	NOUN
cana-4932	113	4	symbol	symbol	NOUN
cana-4932	113	5	𝑠𝑔∙𝑚	𝑠𝑔∙𝑚	PROPN
cana-4932	113	6	is	be	AUX
cana-4932	113	7	normalized	normalize	VERB
cana-4932	113	8	,	,	PUNCT
cana-4932	113	9	hence	hence	ADV
cana-4932	113	10	the	the	DET
cana-4932	113	11	relation	relation	NOUN
cana-4932	113	12	𝐸	𝐸	PROPN
cana-4932	113	13	{	{	PUNCT
cana-4932	113	14	|𝑠𝑔∙𝑚|	|𝑠𝑔∙𝑚|	PROPN
cana-4932	113	15	2	2	NUM
cana-4932	113	16	}	}	PUNCT
cana-4932	113	17	=	=	SYM
cana-4932	113	18	1	1	NUM
cana-4932	113	19	is	be	AUX
cana-4932	113	20	definitely	definitely	ADV
cana-4932	113	21	satisfied	satisfied	ADJ
cana-4932	113	22	..	..	PUNCT
cana-4932	114	1	the	the	DET
cana-4932	114	2	information	information	NOUN
cana-4932	114	3	about	about	ADP
cana-4932	114	4	the	the	DET
cana-4932	114	5	channel	channel	NOUN
cana-4932	114	6	status	status	NOUN
cana-4932	114	7	between	between	ADP
cana-4932	114	8	the	the	DET
cana-4932	114	9	base	base	NOUN
cana-4932	114	10	station	station	NOUN
cana-4932	114	11	,	,	PUNCT
cana-4932	114	12	primary	primary	ADJ
cana-4932	114	13	user	user	NOUN
cana-4932	114	14	,	,	PUNCT
cana-4932	114	15	and	and	CCONJ
cana-4932	114	16	cognitive	cognitive	ADJ
cana-4932	114	17	users	user	NOUN
cana-4932	114	18	for	for	ADP
cana-4932	114	19	the	the	DET
cana-4932	114	20	base	base	NOUN
cana-4932	114	21	station	station	NOUN
cana-4932	114	22	is	be	AUX
cana-4932	114	23	specified	specify	VERB
cana-4932	114	24	.	.	PUNCT
cana-4932	115	1	therefore	therefore	ADV
cana-4932	115	2	,	,	PUNCT
cana-4932	115	3	the	the	DET
cana-4932	115	4	allocation	allocation	NOUN
cana-4932	115	5	of	of	ADP
cana-4932	115	6	power	power	NOUN
cana-4932	115	7	to	to	ADP
cana-4932	115	8	users	user	NOUN
cana-4932	115	9	by	by	ADP
cana-4932	115	10	the	the	DET
cana-4932	115	11	base	base	NOUN
cana-4932	115	12	station	station	NOUN
cana-4932	115	13	,	,	PUNCT
cana-4932	115	14	clustering	clustering	NOUN
cana-4932	115	15	of	of	ADP
cana-4932	115	16	users	user	NOUN
cana-4932	115	17	,	,	PUNCT
cana-4932	115	18	and	and	CCONJ
cana-4932	115	19	beamforming	beamforme	VERB
cana-4932	115	20	related	relate	VERB
cana-4932	115	21	to	to	ADP
cana-4932	115	22	clusters	cluster	NOUN
cana-4932	115	23	can	can	AUX
cana-4932	115	24	be	be	AUX
cana-4932	115	25	implemented	implement	VERB
cana-4932	115	26	.	.	PUNCT
cana-4932	116	1	if	if	SCONJ
cana-4932	116	2	the	the	DET
cana-4932	116	3	channel	channel	NOUN
cana-4932	116	4	vector	vector	NOUN
cana-4932	116	5	between	between	ADP
cana-4932	116	6	the	the	DET
cana-4932	116	7	base	base	NOUN
cana-4932	116	8	station	station	NOUN
cana-4932	116	9	and	and	CCONJ
cana-4932	116	10	the	the	DET
cana-4932	116	11	m	m	PROPN
cana-4932	116	12	-	-	PUNCT
cana-4932	116	13	th	th	X
cana-4932	116	14	secondary	secondary	ADJ
cana-4932	116	15	user	user	NOUN
cana-4932	116	16	in	in	ADP
cana-4932	116	17	cluster	cluster	NOUN
cana-4932	116	18	g	g	NOUN
cana-4932	116	19	is	be	AUX
cana-4932	116	20	defined	define	VERB
cana-4932	116	21	as	as	ADP
cana-4932	116	22	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	116	23	,	,	PUNCT
cana-4932	116	24	and	and	CCONJ
cana-4932	116	25	the	the	DET
cana-4932	116	26	channel	channel	NOUN
cana-4932	116	27	vector	vector	NOUN
cana-4932	116	28	between	between	ADP
cana-4932	116	29	the	the	DET
cana-4932	116	30	base	base	NOUN
cana-4932	116	31	station	station	NOUN
cana-4932	116	32	and	and	CCONJ
cana-4932	116	33	a	a	DET
cana-4932	116	34	single	single	ADJ
cana-4932	116	35	primary	primary	ADJ
cana-4932	116	36	user	user	NOUN
cana-4932	116	37	in	in	ADP
cana-4932	116	38	cluster	cluster	NOUN
cana-4932	116	39	g	g	NOUN
cana-4932	116	40	is	be	AUX
cana-4932	116	41	defined	define	VERB
cana-4932	116	42	as	as	ADP
cana-4932	116	43	𝒉𝑝𝑢	𝒉𝑝𝑢	NOUN
cana-4932	116	44	,	,	PUNCT
cana-4932	116	45	the	the	DET
cana-4932	116	46	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	116	47	.	.	PUNCT
cana-4932	117	1	𝒉𝑝𝑢𝐶	𝒉𝑝𝑢𝐶	ADJ
cana-4932	117	2	1×𝑁	1×𝑁	NUM
cana-4932	117	3	,	,	PUNCT
cana-4932	117	4	which	which	PRON
cana-4932	117	5	represent	represent	VERB
cana-4932	117	6	millimeter	millimeter	NOUN
cana-4932	117	7	-	-	PUNCT
cana-4932	117	8	wave	wave	NOUN
cana-4932	117	9	mimo	mimo	PROPN
cana-4932	117	10	communication	communication	NOUN
cana-4932	117	11	channels	channel	NOUN
cana-4932	117	12	,	,	PUNCT
cana-4932	117	13	are	be	AUX
cana-4932	117	14	modeled	model	VERB
cana-4932	117	15	as	as	SCONJ
cana-4932	117	16	stated	state	VERB
cana-4932	117	17	in	in	ADP
cana-4932	117	18	[	[	X
cana-4932	117	19	57	57	NUM
cana-4932	117	20	]	]	SYM
cana-4932	117	21	:	:	PUNCT
cana-4932	117	22	𝒉𝒔𝒖	𝒉𝒔𝒖	NOUN
cana-4932	117	23	=	=	NOUN
cana-4932	117	24	√	√	PROPN
cana-4932	117	25	𝑵	𝑵	PROPN
cana-4932	117	26	𝑳𝒈.𝒎	𝑳𝒈.𝒎	X
cana-4932	117	27	∑𝜶𝒈.𝒎	∑𝜶𝒈.𝒎	X
cana-4932	117	28	(	(	PUNCT
cana-4932	117	29	𝒍	𝒍	NOUN
cana-4932	117	30	)	)	PUNCT
cana-4932	117	31	𝑳𝒈.𝒎	𝑳𝒈.𝒎	PUNCT
cana-4932	118	1	𝒍=𝟏	𝒍=𝟏	PUNCT
cana-4932	118	2	∙	∙	PROPN
cana-4932	118	3	�	�	PROPN
cana-4932	118	4	⃗⃗	⃗⃗	PROPN
cana-4932	118	5	�	�	PROPN
cana-4932	118	6	𝒂𝒛	𝒂𝒛	PROPN
cana-4932	118	7	(	(	PUNCT
cana-4932	118	8	𝝋𝒈.𝒎	𝝋𝒈.𝒎	NOUN
cana-4932	118	9	(	(	PUNCT
cana-4932	118	10	𝒍	𝒍	NOUN
cana-4932	118	11	)	)	PUNCT
cana-4932	118	12	)	)	PUNCT
cana-4932	118	13	𝒉𝒑𝒖	𝒉𝒑𝒖	PROPN
cana-4932	118	14	=	=	SYM
cana-4932	119	1	√	√	NUM
cana-4932	119	2	𝑵	𝑵	PROPN
cana-4932	119	3	𝑳𝒈.𝒎	𝑳𝒈.𝒎	X
cana-4932	119	4	∑𝜶𝒈.𝒎	∑𝜶𝒈.𝒎	X
cana-4932	119	5	(	(	PUNCT
cana-4932	119	6	𝒍	𝒍	NOUN
cana-4932	119	7	)	)	PUNCT
cana-4932	119	8	𝑳𝒈.𝒎	𝑳𝒈.𝒎	PUNCT
cana-4932	119	9	𝒍=𝟏	𝒍=𝟏	PUNCT
cana-4932	119	10	∙	∙	PROPN
cana-4932	119	11	�	�	PROPN
cana-4932	119	12	⃗⃗	⃗⃗	PROPN
cana-4932	119	13	�	�	PROPN
cana-4932	119	14	𝒂𝒛	𝒂𝒛	PROPN
cana-4932	119	15	(	(	PUNCT
cana-4932	119	16	𝝋𝒈.𝒎	𝝋𝒈.𝒎	NOUN
cana-4932	119	17	(	(	PUNCT
cana-4932	119	18	𝒍	𝒍	NOUN
cana-4932	119	19	)	)	PUNCT
cana-4932	119	20	)	)	PUNCT
cana-4932	119	21	(	(	PUNCT
cana-4932	119	22	4	4	NUM
cana-4932	119	23	-	-	SYM
cana-4932	119	24	3	3	NUM
cana-4932	119	25	)	)	PUNCT
cana-4932	119	26	in	in	ADP
cana-4932	119	27	eq	eq	ADP
cana-4932	119	28	.	.	PUNCT
cana-4932	120	1	(	(	PUNCT
cana-4932	120	2	3	3	NUM
cana-4932	120	3	-	-	SYM
cana-4932	120	4	4	4	NUM
cana-4932	120	5	)	)	PUNCT
cana-4932	120	6	,	,	PUNCT
cana-4932	120	7	the	the	DET
cana-4932	120	8	number	number	NOUN
cana-4932	120	9	of	of	ADP
cana-4932	120	10	paths	path	NOUN
cana-4932	120	11	between	between	ADP
cana-4932	120	12	the	the	DET
cana-4932	120	13	base	base	NOUN
cana-4932	120	14	station	station	NOUN
cana-4932	120	15	and	and	CCONJ
cana-4932	120	16	user	user	NOUN
cana-4932	120	17	m	m	VERB
cana-4932	120	18	within	within	ADP
cana-4932	120	19	cluster	cluster	NOUN
cana-4932	120	20	g	g	NOUN
cana-4932	120	21	is	be	AUX
cana-4932	120	22	denoted	denote	VERB
cana-4932	120	23	as	as	ADP
cana-4932	120	24	𝑳𝒈.𝒎.	𝑳𝒈.𝒎.	PROPN
cana-4932	120	25	𝜶𝒈.𝒎	𝜶𝒈.𝒎	NOUN
cana-4932	120	26	(	(	PUNCT
cana-4932	120	27	𝒍	𝒍	NOUN
cana-4932	120	28	)	)	PUNCT
cana-4932	120	29	is	be	AUX
cana-4932	120	30	also	also	ADV
cana-4932	120	31	a	a	DET
cana-4932	120	32	random	random	ADJ
cana-4932	120	33	variable	variable	NOUN
cana-4932	120	34	and	and	CCONJ
cana-4932	120	35	represents	represent	VERB
cana-4932	120	36	the	the	DET
cana-4932	120	37	complex	complex	ADJ
cana-4932	120	38	channel	channel	NOUN
cana-4932	120	39	coefficient	coefficient	NOUN
cana-4932	120	40	of	of	ADP
cana-4932	120	41	path	path	NOUN
cana-4932	120	42	l	l	NOUN
cana-4932	120	43	where	where	SCONJ
cana-4932	120	44	𝝋𝒈.𝒎	𝝋𝒈.𝒎	X
cana-4932	120	45	(	(	PUNCT
cana-4932	120	46	𝒍	𝒍	NOUN
cana-4932	120	47	)	)	PUNCT
cana-4932	120	48	is	be	AUX
cana-4932	120	49	a	a	DET
cana-4932	120	50	random	random	ADJ
cana-4932	120	51	variable	variable	NOUN
cana-4932	120	52	and	and	CCONJ
cana-4932	120	53	azimuth	azimuth	NOUN
cana-4932	120	54	angle	angle	NOUN
cana-4932	120	55	of	of	ADP
cana-4932	120	56	l	l	PROPN
cana-4932	120	57	path	path	NOUN
cana-4932	120	58	.	.	PUNCT
cana-4932	121	1	on	on	ADP
cana-4932	121	2	the	the	DET
cana-4932	121	3	other	other	ADJ
cana-4932	121	4	hand	hand	NOUN
cana-4932	121	5	,	,	PUNCT
cana-4932	121	6	�	�	PROPN
cana-4932	121	7	⃗⃗	⃗⃗	PROPN
cana-4932	121	8	�	�	PROPN
cana-4932	121	9	𝒂𝒛	𝒂𝒛	PROPN
cana-4932	121	10	(	(	PUNCT
cana-4932	121	11	𝝋𝒈.𝒎	𝝋𝒈.𝒎	NOUN
cana-4932	121	12	(	(	PUNCT
cana-4932	121	13	𝒍	𝒍	NOUN
cana-4932	121	14	)	)	PUNCT
cana-4932	121	15	)	)	PUNCT
cana-4932	121	16	signifies	signify	VERB
cana-4932	121	17	the	the	DET
cana-4932	121	18	conductor	conductor	NOUN
cana-4932	121	19	vector	vector	NOUN
cana-4932	121	20	of	of	ADP
cana-4932	121	21	azimuth	azimuth	PROPN
cana-4932	121	22	angle	angle	NOUN
cana-4932	121	23	of	of	ADP
cana-4932	121	24	antennas	antenna	NOUN
cana-4932	121	25	arrayed	array	VERB
cana-4932	121	26	in	in	ADP
cana-4932	121	27	the	the	DET
cana-4932	121	28	direction	direction	NOUN
cana-4932	121	29	of	of	ADP
cana-4932	121	30	user	user	NOUN
cana-4932	121	31	m	m	VERB
cana-4932	121	32	within	within	ADP
cana-4932	121	33	cluster	cluster	NOUN
cana-4932	121	34	g	g	NOUN
cana-4932	121	35	along	along	ADP
cana-4932	121	36	path	path	NOUN
cana-4932	121	37	l.	l.	PROPN
cana-4932	122	1	these	these	DET
cana-4932	122	2	parameters	parameter	NOUN
cana-4932	122	3	are	be	AUX
cana-4932	122	4	also	also	ADV
cana-4932	122	5	defined	define	VERB
cana-4932	122	6	for	for	ADP
cana-4932	122	7	the	the	DET
cana-4932	122	8	primary	primary	ADJ
cana-4932	122	9	channel	channel	NOUN
cana-4932	122	10	,	,	PUNCT
cana-4932	122	11	but	but	CCONJ
cana-4932	122	12	with	with	ADP
cana-4932	122	13	the	the	DET
cana-4932	122	14	distinction	distinction	NOUN
cana-4932	122	15	that	that	SCONJ
cana-4932	122	16	there	there	PRON
cana-4932	122	17	is	be	VERB
cana-4932	122	18	only	only	ADV
cana-4932	122	19	one	one	NUM
cana-4932	122	20	primary	primary	ADJ
cana-4932	122	21	user	user	NOUN
cana-4932	122	22	.	.	PUNCT
cana-4932	123	1	furthermore	furthermore	ADV
cana-4932	123	2	,	,	PUNCT
cana-4932	123	3	a	a	DET
cana-4932	123	4	uniform	uniform	ADJ
cana-4932	123	5	linear	linear	ADJ
cana-4932	123	6	array	array	NOUN
cana-4932	123	7	is	be	AUX
cana-4932	123	8	used	use	VERB
cana-4932	123	9	such	such	ADJ
cana-4932	123	10	that	that	SCONJ
cana-4932	123	11	it	it	PRON
cana-4932	123	12	is	be	AUX
cana-4932	123	13	assumed	assume	VERB
cana-4932	123	14	that	that	SCONJ
cana-4932	123	15	all	all	DET
cana-4932	123	16	antennas	antenna	NOUN
cana-4932	123	17	in	in	ADP
cana-4932	123	18	the	the	DET
cana-4932	123	19	array	array	NOUN
cana-4932	123	20	are	be	AUX
cana-4932	123	21	equally	equally	ADV
cana-4932	123	22	spaced	space	VERB
cana-4932	123	23	,	,	PUNCT
cana-4932	123	24	and	and	CCONJ
cana-4932	123	25	the	the	DET
cana-4932	123	26	utilization	utilization	NOUN
cana-4932	123	27	of	of	ADP
cana-4932	123	28	all	all	DET
cana-4932	123	29	n	n	PRON
cana-4932	123	30	base	base	NOUN
cana-4932	123	31	station	station	NOUN
cana-4932	123	32	antennas	antenna	NOUN
cana-4932	123	33	in	in	ADP
cana-4932	123	34	the	the	DET
cana-4932	123	35	horizontal	horizontal	ADJ
cana-4932	123	36	direction	direction	NOUN
cana-4932	123	37	is	be	AUX
cana-4932	123	38	in	in	ADP
cana-4932	123	39	accordance	accordance	NOUN
cana-4932	123	40	with	with	ADP
cana-4932	123	41	the	the	DET
cana-4932	123	42	following	follow	VERB
cana-4932	123	43	relation	relation	NOUN
cana-4932	123	44	[	[	X
cana-4932	123	45	58	58	NUM
cana-4932	123	46	]	]	PUNCT
cana-4932	123	47	.	.	PUNCT
cana-4932	124	1	𝒂𝑎𝑧(𝑛)(𝜑	𝒂𝑎𝑧(𝑛)(𝜑	NUM
cana-4932	124	2	)	)	PUNCT
cana-4932	124	3	=	=	SYM
cana-4932	124	4	1	1	NUM
cana-4932	124	5	𝑁	𝑁	PROPN
cana-4932	124	6	𝑒𝑥𝑝(𝑗2𝜋𝑛	𝑒𝑥𝑝(𝑗2𝜋𝑛	PROPN
cana-4932	124	7	(	(	PUNCT
cana-4932	124	8	𝑑	𝑑	NOUN
cana-4932	124	9	𝜆	𝜆	NOUN
cana-4932	124	10	)	)	PUNCT
cana-4932	124	11	𝑠𝑖𝑛(𝜑	𝑠𝑖𝑛(𝜑	NOUN
cana-4932	124	12	)	)	PUNCT
cana-4932	124	13	)	)	PUNCT
cana-4932	125	1	𝑛	𝑛	PROPN
cana-4932	126	1	=	=	PUNCT
cana-4932	126	2	0.1.2.⋯	0.1.2.⋯	NOUN
cana-4932	126	3	.𝑁	.𝑁	ADJ
cana-4932	127	1	−	−	NUM
cana-4932	127	2	1	1	NUM
cana-4932	127	3	(	(	PUNCT
cana-4932	127	4	5	5	NUM
cana-4932	127	5	-	-	SYM
cana-4932	127	6	3	3	NUM
cana-4932	127	7	)	)	PUNCT
cana-4932	127	8	communications	communication	NOUN
cana-4932	127	9	on	on	ADP
cana-4932	127	10	applied	apply	VERB
cana-4932	127	11	nonlinear	nonlinear	ADJ
cana-4932	127	12	analysis	analysis	NOUN
cana-4932	127	13	issn	issn	NOUN
cana-4932	127	14	:	:	PUNCT
cana-4932	127	15	1074	1074	NUM
cana-4932	127	16	-	-	PUNCT
cana-4932	127	17	133x	133x	NUM
cana-4932	127	18	vol	vol	VERB
cana-4932	127	19	32	32	NUM
cana-4932	127	20	no	no	NOUN
cana-4932	127	21	.	.	PUNCT
cana-4932	128	1	10s	10	NOUN
cana-4932	128	2	(	(	PUNCT
cana-4932	128	3	2025	2025	NUM
cana-4932	128	4	)	)	PUNCT
cana-4932	128	5	982	982	NUM
cana-4932	128	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	128	7	in	in	ADP
cana-4932	128	8	eq	eq	ADP
cana-4932	128	9	.	.	PUNCT
cana-4932	129	1	(	(	PUNCT
cana-4932	129	2	5	5	NUM
cana-4932	129	3	-	-	SYM
cana-4932	129	4	3	3	NUM
cana-4932	129	5	)	)	PUNCT
cana-4932	129	6	,	,	PUNCT
cana-4932	129	7	d	d	X
cana-4932	129	8	is	be	AUX
cana-4932	129	9	the	the	DET
cana-4932	129	10	horizontal	horizontal	ADJ
cana-4932	129	11	distance	distance	NOUN
cana-4932	129	12	between	between	ADP
cana-4932	129	13	each	each	DET
cana-4932	129	14	antenna	antenna	NOUN
cana-4932	129	15	,	,	PUNCT
cana-4932	129	16	𝜆	𝜆	X
cana-4932	129	17	is	be	AUX
cana-4932	129	18	the	the	DET
cana-4932	129	19	wavelength	wavelength	NOUN
cana-4932	129	20	of	of	ADP
cana-4932	129	21	the	the	DET
cana-4932	129	22	transmitted	transmit	VERB
cana-4932	129	23	signal	signal	NOUN
cana-4932	129	24	,	,	PUNCT
cana-4932	129	25	and	and	CCONJ
cana-4932	129	26	𝒂𝑎𝑧(𝑛)(𝜑)is	𝒂𝑎𝑧(𝑛)(𝜑)is	ADJ
cana-4932	129	27	the	the	DET
cana-4932	129	28	n	n	CCONJ
cana-4932	129	29	-	-	PUNCT
cana-4932	129	30	th	th	VERB
cana-4932	129	31	element	element	NOUN
cana-4932	129	32	of	of	ADP
cana-4932	129	33	conductor	conductor	NOUN
cana-4932	129	34	vector	vector	PROPN
cana-4932	129	35	�	�	PROPN
cana-4932	129	36	⃗⃗	⃗⃗	PROPN
cana-4932	129	37	�	�	PROPN
cana-4932	129	38	𝒂𝒛	𝒂𝒛	PROPN
cana-4932	129	39	(	(	PUNCT
cana-4932	129	40	𝝋𝒈.𝒎	𝝋𝒈.𝒎	NOUN
cana-4932	129	41	(	(	PUNCT
cana-4932	129	42	𝒍	𝒍	NOUN
cana-4932	129	43	)	)	PUNCT
cana-4932	129	44	)	)	PUNCT
cana-4932	129	45	.	.	PUNCT
cana-4932	130	1	if	if	SCONJ
cana-4932	130	2	the	the	DET
cana-4932	130	3	sum	sum	NOUN
cana-4932	130	4	of	of	ADP
cana-4932	130	5	additive	additive	ADJ
cana-4932	130	6	white	white	ADJ
cana-4932	130	7	gaussian	gaussian	PROPN
cana-4932	130	8	noise	noise	NOUN
cana-4932	130	9	at	at	ADP
cana-4932	130	10	the	the	DET
cana-4932	130	11	primary	primary	ADJ
cana-4932	130	12	user	user	NOUN
cana-4932	130	13	receiver	receiver	NOUN
cana-4932	130	14	and	and	CCONJ
cana-4932	130	15	the	the	DET
cana-4932	130	16	m	m	NOUN
cana-4932	130	17	-	-	PUNCT
cana-4932	130	18	th	th	X
cana-4932	130	19	secondary	secondary	ADJ
cana-4932	130	20	user	user	NOUN
cana-4932	130	21	in	in	ADP
cana-4932	130	22	cluster	cluster	NOUN
cana-4932	130	23	g	g	NOUN
cana-4932	130	24	are	be	AUX
cana-4932	130	25	𝑣𝑠𝑢	𝑣𝑠𝑢	ADJ
cana-4932	130	26	and	and	CCONJ
cana-4932	130	27	𝑣𝑝𝑢	𝑣𝑝𝑢	VERB
cana-4932	130	28	respectively	respectively	ADV
cana-4932	130	29	,	,	PUNCT
cana-4932	130	30	assuming	assume	VERB
cana-4932	130	31	it	it	PRON
cana-4932	130	32	as	as	ADP
cana-4932	130	33	a	a	DET
cana-4932	130	34	complex	complex	ADJ
cana-4932	130	35	circularly	circularly	ADJ
cana-4932	130	36	symmetric	symmetric	ADJ
cana-4932	130	37	gaussian	gaussian	NOUN
cana-4932	130	38	noise	noise	NOUN
cana-4932	130	39	with	with	ADP
cana-4932	130	40	variance	variance	NOUN
cana-4932	130	41	𝒞𝒩(0	𝒞𝒩(0	NOUN
cana-4932	130	42	.	.	PUNCT
cana-4932	131	1	σ𝑣	σ𝑣	PROPN
cana-4932	131	2	2	2	NUM
cana-4932	131	3	)	)	PUNCT
cana-4932	131	4	,	,	PUNCT
cana-4932	131	5	then	then	ADV
cana-4932	131	6	the	the	DET
cana-4932	131	7	received	receive	VERB
cana-4932	131	8	signal	signal	NOUN
cana-4932	131	9	at	at	ADP
cana-4932	131	10	the	the	DET
cana-4932	131	11	m	m	PROPN
cana-4932	131	12	-	-	PUNCT
cana-4932	131	13	th	th	VERB
cana-4932	131	14	user	user	NOUN
cana-4932	131	15	receiver	receiver	NOUN
cana-4932	131	16	in	in	ADP
cana-4932	131	17	cluster	cluster	NOUN
cana-4932	131	18	g	g	NOUN
cana-4932	131	19	and	and	CCONJ
cana-4932	131	20	the	the	DET
cana-4932	131	21	received	receive	VERB
cana-4932	131	22	signal	signal	NOUN
cana-4932	131	23	at	at	ADP
cana-4932	131	24	the	the	DET
cana-4932	131	25	primary	primary	ADJ
cana-4932	131	26	user	user	NOUN
cana-4932	131	27	in	in	ADP
cana-4932	131	28	cluster	cluster	NOUN
cana-4932	131	29	g	g	NOUN
cana-4932	131	30	are	be	AUX
cana-4932	131	31	as	as	SCONJ
cana-4932	131	32	follows	follow	VERB
cana-4932	131	33	:	:	PUNCT
cana-4932	132	1	𝑦𝑠𝑢	𝑦𝑠𝑢	NOUN
cana-4932	132	2	=	=	NOUN
cana-4932	132	3	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	132	4	𝐻	𝐻	PROPN
cana-4932	132	5	𝒙	𝒙	PROPN
cana-4932	133	1	+	+	NUM
cana-4932	134	1	𝑣𝑠𝑢	𝑣𝑠𝑢	X
cana-4932	135	1	=	=	SYM
cana-4932	136	1	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	137	1	𝐻	𝐻	PROPN
cana-4932	137	2	𝑫𝒔	𝑫𝒔	PROPN
cana-4932	137	3	+	+	CCONJ
cana-4932	137	4	𝑣𝑠𝑢	𝑣𝑠𝑢	X
cana-4932	137	5	=	=	SYM
cana-4932	137	6	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	137	7	𝐻	𝐻	NOUN
cana-4932	137	8	∑∑𝒅𝑖	∑∑𝒅𝑖	NOUN
cana-4932	137	9	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	137	10	𝑗=1	𝑗=1	PROPN
cana-4932	137	11	𝐺	𝐺	PROPN
cana-4932	137	12	𝑖=1	𝑖=1	PROPN
cana-4932	137	13	√𝑝𝑖.𝑗𝑠𝑖.𝑗	√𝑝𝑖.𝑗𝑠𝑖.𝑗	PROPN
cana-4932	138	1	+	+	NUM
cana-4932	138	2	𝑣𝑠𝑢	𝑣𝑠𝑢	NOUN
cana-4932	138	3	𝑦𝑝𝑢	𝑦𝑝𝑢	NOUN
cana-4932	138	4	=	=	PRON
cana-4932	138	5	𝒉𝑝𝑢	𝒉𝑝𝑢	VERB
cana-4932	138	6	𝐻	𝐻	PROPN
cana-4932	138	7	𝒙	𝒙	PROPN
cana-4932	138	8	+	+	NUM
cana-4932	138	9	𝑣𝑝𝑢	𝑣𝑝𝑢	NOUN
cana-4932	138	10	=	=	SYM
cana-4932	138	11	𝒉𝑝𝑢	𝒉𝑝𝑢	NOUN
cana-4932	138	12	𝐻	𝐻	PROPN
cana-4932	138	13	𝑫𝒔	𝑫𝒔	PROPN
cana-4932	138	14	+	+	CCONJ
cana-4932	138	15	𝑣𝑝𝑢	𝑣𝑝𝑢	NOUN
cana-4932	138	16	=	=	SYM
cana-4932	138	17	𝒉𝑝𝑢	𝒉𝑝𝑢	NOUN
cana-4932	138	18	𝐻	𝐻	NOUN
cana-4932	138	19	∑∑𝒅𝑖	∑∑𝒅𝑖	NOUN
cana-4932	139	1	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	139	2	𝑗=1	𝑗=1	PROPN
cana-4932	139	3	𝐺	𝐺	PROPN
cana-4932	139	4	𝑖=1	𝑖=1	PROPN
cana-4932	139	5	√𝑝𝑖.𝑗𝑠𝑖.𝑗	√𝑝𝑖.𝑗𝑠𝑖.𝑗	PROPN
cana-4932	139	6	+	+	CCONJ
cana-4932	139	7	𝑣𝑝𝑢	𝑣𝑝𝑢	NOUN
cana-4932	139	8	(	(	PUNCT
cana-4932	139	9	6	6	NUM
cana-4932	139	10	-	-	SYM
cana-4932	139	11	3	3	NUM
cana-4932	139	12	)	)	PUNCT
cana-4932	139	13	considering	consider	VERB
cana-4932	139	14	the	the	DET
cana-4932	139	15	proposed	propose	VERB
cana-4932	139	16	system	system	NOUN
cana-4932	139	17	,	,	PUNCT
cana-4932	139	18	the	the	DET
cana-4932	139	19	received	receive	VERB
cana-4932	139	20	signal	signal	NOUN
cana-4932	139	21	by	by	ADP
cana-4932	139	22	each	each	DET
cana-4932	139	23	primary	primary	ADJ
cana-4932	139	24	and	and	CCONJ
cana-4932	139	25	secondary	secondary	ADJ
cana-4932	139	26	user	user	NOUN
cana-4932	139	27	's	's	PART
cana-4932	139	28	receiver	receiver	NOUN
cana-4932	139	29	can	can	AUX
cana-4932	139	30	be	be	AUX
cana-4932	139	31	represented	represent	VERB
cana-4932	139	32	as	as	ADP
cana-4932	139	33	the	the	DET
cana-4932	139	34	desired	desire	VERB
cana-4932	139	35	signal	signal	NOUN
cana-4932	139	36	corresponding	correspond	VERB
cana-4932	139	37	to	to	ADP
cana-4932	139	38	the	the	DET
cana-4932	139	39	user	user	NOUN
cana-4932	139	40	,	,	PUNCT
cana-4932	139	41	intra	intra	ADJ
cana-4932	139	42	-	-	ADJ
cana-4932	139	43	cluster	cluster	ADJ
cana-4932	139	44	interference	interference	NOUN
cana-4932	139	45	signal	signal	NOUN
cana-4932	139	46	,	,	PUNCT
cana-4932	139	47	inter	inter	ADJ
cana-4932	139	48	-	-	ADJ
cana-4932	139	49	cluster	cluster	ADJ
cana-4932	139	50	interference	interference	NOUN
cana-4932	139	51	signal	signal	NOUN
cana-4932	139	52	,	,	PUNCT
cana-4932	139	53	and	and	CCONJ
cana-4932	139	54	channel	channel	NOUN
cana-4932	139	55	noise	noise	NOUN
cana-4932	139	56	.	.	PUNCT
cana-4932	140	1	as	as	SCONJ
cana-4932	140	2	indicated	indicate	VERB
cana-4932	140	3	in	in	ADP
cana-4932	140	4	eq	eq	ADP
cana-4932	140	5	.	.	PUNCT
cana-4932	141	1	(	(	PUNCT
cana-4932	141	2	7	7	NUM
cana-4932	141	3	-	-	SYM
cana-4932	141	4	3	3	NUM
cana-4932	141	5	)	)	PUNCT
cana-4932	141	6	,	,	PUNCT
cana-4932	141	7	the	the	DET
cana-4932	141	8	desired	desire	VERB
cana-4932	141	9	signal	signal	NOUN
cana-4932	141	10	corresponding	correspond	VERB
cana-4932	141	11	to	to	ADP
cana-4932	141	12	the	the	DET
cana-4932	141	13	secondary	secondary	ADJ
cana-4932	141	14	user	user	NOUN
cana-4932	141	15	m	m	VERB
cana-4932	141	16	in	in	ADP
cana-4932	141	17	cluster	cluster	NOUN
cana-4932	141	18	g	g	NOUN
cana-4932	141	19	,	,	PUNCT
cana-4932	141	20	denoted	denote	VERB
cana-4932	141	21	as	as	ADP
cana-4932	141	22	𝑠𝑔∙𝑚−𝑃𝑈.	𝑠𝑔∙𝑚−𝑃𝑈.	PROPN
cana-4932	141	23	therefore	therefore	ADV
cana-4932	141	24	,	,	PUNCT
cana-4932	141	25	the	the	DET
cana-4932	141	26	remaining	remain	VERB
cana-4932	141	27	signals	signal	NOUN
cana-4932	141	28	received	receive	VERB
cana-4932	141	29	by	by	ADP
cana-4932	141	30	the	the	DET
cana-4932	141	31	mentioned	mention	VERB
cana-4932	141	32	user	user	NOUN
cana-4932	141	33	's	's	PART
cana-4932	141	34	receiver	receiver	NOUN
cana-4932	141	35	are	be	AUX
cana-4932	141	36	considered	consider	VERB
cana-4932	141	37	as	as	ADP
cana-4932	141	38	interference	interference	NOUN
cana-4932	141	39	signals	signal	NOUN
cana-4932	141	40	.	.	PUNCT
cana-4932	142	1	the	the	DET
cana-4932	142	2	key	key	ADJ
cana-4932	142	3	point	point	NOUN
cana-4932	142	4	is	be	AUX
cana-4932	142	5	to	to	PART
cana-4932	142	6	note	note	VERB
cana-4932	142	7	that	that	SCONJ
cana-4932	142	8	the	the	DET
cana-4932	142	9	intra	intra	ADJ
cana-4932	142	10	-	-	ADJ
cana-4932	142	11	cluster	cluster	ADJ
cana-4932	142	12	interference	interference	NOUN
cana-4932	142	13	signal	signal	NOUN
cana-4932	142	14	is	be	AUX
cana-4932	142	15	the	the	DET
cana-4932	142	16	same	same	ADJ
cana-4932	142	17	as	as	ADP
cana-4932	142	18	the	the	DET
cana-4932	142	19	interference	interference	NOUN
cana-4932	142	20	signal	signal	NOUN
cana-4932	142	21	related	relate	VERB
cana-4932	142	22	to	to	ADP
cana-4932	142	23	the	the	DET
cana-4932	142	24	noma	noma	PROPN
cana-4932	142	25	scheme	scheme	NOUN
cana-4932	142	26	.	.	PUNCT
cana-4932	143	1	hence	hence	ADV
cana-4932	143	2	,	,	PUNCT
cana-4932	143	3	to	to	PART
cana-4932	143	4	combat	combat	VERB
cana-4932	143	5	this	this	DET
cana-4932	143	6	type	type	NOUN
cana-4932	143	7	of	of	ADP
cana-4932	143	8	interference	interference	NOUN
cana-4932	143	9	and	and	CCONJ
cana-4932	143	10	neutralize	neutralize	VERB
cana-4932	143	11	its	its	PRON
cana-4932	143	12	effects	effect	NOUN
cana-4932	143	13	,	,	PUNCT
cana-4932	143	14	as	as	SCONJ
cana-4932	143	15	mentioned	mention	VERB
cana-4932	143	16	in	in	ADP
cana-4932	143	17	chapter	chapter	NOUN
cana-4932	143	18	1	1	NUM
cana-4932	143	19	,	,	PUNCT
cana-4932	143	20	sequential	sequential	ADJ
cana-4932	143	21	interference	interference	NOUN
cana-4932	143	22	cancellation	cancellation	NOUN
cana-4932	143	23	is	be	AUX
cana-4932	143	24	utilized	utilize	VERB
cana-4932	143	25	by	by	ADP
cana-4932	143	26	users	user	NOUN
cana-4932	143	27	with	with	ADP
cana-4932	143	28	stronger	strong	ADJ
cana-4932	143	29	channel	channel	NOUN
cana-4932	143	30	conditions	condition	NOUN
cana-4932	143	31	.	.	PUNCT
cana-4932	144	1	this	this	DET
cana-4932	144	2	relationship	relationship	NOUN
cana-4932	144	3	holds	hold	VERB
cana-4932	144	4	for	for	ADP
cana-4932	144	5	the	the	DET
cana-4932	144	6	received	receive	VERB
cana-4932	144	7	signal	signal	NOUN
cana-4932	144	8	of	of	ADP
cana-4932	144	9	the	the	DET
cana-4932	144	10	primary	primary	ADJ
cana-4932	144	11	user	user	NOUN
cana-4932	144	12	based	base	VERB
cana-4932	144	13	on	on	ADP
cana-4932	144	14	its	its	PRON
cana-4932	144	15	channel	channel	NOUN
cana-4932	144	16	conditions	condition	NOUN
cana-4932	144	17	as	as	ADV
cana-4932	144	18	well	well	ADV
cana-4932	144	19	.	.	PUNCT
cana-4932	145	1	𝑦𝑔.𝑚−𝑆𝑈	𝑦𝑔.𝑚−𝑆𝑈	PUNCT
cana-4932	145	2	=	=	PUNCT
cana-4932	146	1	(	(	PUNCT
cana-4932	146	2	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	146	3	𝐻	𝐻	PROPN
cana-4932	146	4	𝒅𝒈√𝑝𝑔∙𝑚	𝒅𝒈√𝑝𝑔∙𝑚	NOUN
cana-4932	146	5	𝑠𝑔∙𝑚−𝑆𝑈	𝑠𝑔∙𝑚−𝑆𝑈	NOUN
cana-4932	146	6	)	)	PUNCT
cana-4932	146	7	+	+	PROPN
cana-4932	146	8	(	(	PUNCT
cana-4932	146	9	𝒉𝑠𝑢	𝒉𝑠𝑢	INTJ
cana-4932	146	10	𝐻	𝐻	NOUN
cana-4932	146	11	𝒅𝒈	𝒅𝒈	ADP
cana-4932	146	12	∑√𝑝𝑔.𝑗𝑠𝑔.𝑗	∑√𝑝𝑔.𝑗𝑠𝑔.𝑗	NUM
cana-4932	146	13	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	146	14	𝑗=1	𝑗=1	PROPN
cana-4932	146	15	𝑗≠𝑚⏟	𝑗≠𝑚⏟	X
cana-4932	146	16	𝒊𝒏𝒕𝒓𝒂−𝒄𝒍𝒖𝒔𝒕𝒆𝒓	𝒊𝒏𝒕𝒓𝒂−𝒄𝒍𝒖𝒔𝒕𝒆𝒓	NUM
cana-4932	146	17	𝒊𝒏𝒕𝒆𝒓𝒇𝒆𝒓𝒆𝒏𝒄𝒆	𝒊𝒏𝒕𝒆𝒓𝒇𝒆𝒓𝒆𝒏𝒄𝒆	NOUN
cana-4932	146	18	𝒔𝒊𝒈𝒏𝒂	𝒔𝒊𝒈𝒏𝒂	NOUN
cana-4932	146	19	)	)	PUNCT
cana-4932	146	20	(	(	PUNCT
cana-4932	146	21	7	7	NUM
cana-4932	146	22	-	-	SYM
cana-4932	146	23	3	3	NUM
cana-4932	146	24	)	)	PUNCT
cana-4932	146	25	+	+	CCONJ
cana-4932	146	26	(	(	PUNCT
cana-4932	146	27	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	146	28	𝐻	𝐻	PROPN
cana-4932	146	29	𝒅𝒈∑∑𝒅𝒊√𝑝𝑖.𝑗𝑠𝑖.𝑗	𝒅𝒈∑∑𝒅𝒊√𝑝𝑖.𝑗𝑠𝑖.𝑗	PROPN
cana-4932	146	30	𝑁𝑖	𝑁𝑖	PROPN
cana-4932	146	31	𝑗=1	𝑗=1	PROPN
cana-4932	146	32	𝐺	𝐺	PROPN
cana-4932	146	33	𝑖=1	𝑖=1	PROPN
cana-4932	146	34	𝑖≠𝑔⏟	𝑖≠𝑔⏟	PUNCT
cana-4932	146	35	𝒊𝒏𝒕𝒆𝒓−𝒄𝒍𝒖𝒔𝒕𝒆𝒓	𝒊𝒏𝒕𝒆𝒓−𝒄𝒍𝒖𝒔𝒕𝒆𝒓	NUM
cana-4932	146	36	𝒊𝒏𝒕𝒆𝒓𝒇𝒆𝒓𝒆𝒏𝒄𝒆	𝒊𝒏𝒕𝒆𝒓𝒇𝒆𝒓𝒆𝒏𝒄𝒆	NOUN
cana-4932	146	37	𝒔𝒊𝒈𝒏𝒂	𝒔𝒊𝒈𝒏𝒂	VERB
cana-4932	146	38	)	)	PUNCT
cana-4932	147	1	+	+	CCONJ
cana-4932	147	2	𝑣𝑠𝑢⏟	𝑣𝑠𝑢⏟	PROPN
cana-4932	147	3	𝑐ℎ𝑎𝑛𝑛𝑒𝑙	𝑐ℎ𝑎𝑛𝑛𝑒𝑙	NOUN
cana-4932	147	4	𝑛𝑜𝑖𝑠𝑒	𝑛𝑜𝑖𝑠𝑒	VERB
cana-4932	147	5	the	the	DET
cana-4932	147	6	important	important	ADJ
cana-4932	147	7	and	and	CCONJ
cana-4932	147	8	fundamental	fundamental	ADJ
cana-4932	147	9	assumption	assumption	NOUN
cana-4932	147	10	based	base	VERB
cana-4932	147	11	on	on	ADP
cana-4932	147	12	the	the	DET
cana-4932	147	13	following	follow	VERB
cana-4932	147	14	relationship	relationship	NOUN
cana-4932	147	15	is	be	AUX
cana-4932	147	16	applied	apply	VERB
cana-4932	147	17	to	to	ADP
cana-4932	147	18	users	user	NOUN
cana-4932	147	19	present	present	ADJ
cana-4932	147	20	in	in	ADP
cana-4932	147	21	each	each	PRON
cana-4932	147	22	of	of	ADP
cana-4932	147	23	the	the	DET
cana-4932	147	24	clusters	cluster	NOUN
cana-4932	147	25	:	:	PUNCT
cana-4932	147	26	|𝒉𝑔.1	|𝒉𝑔.1	NOUN
cana-4932	147	27	𝐻	𝐻	PROPN
cana-4932	147	28	𝒅𝒈|	𝒅𝒈|	PROPN
cana-4932	147	29	≥	≥	NOUN
cana-4932	147	30	|𝒉𝑔.2	|𝒉𝑔.2	NOUN
cana-4932	148	1	𝐻	𝐻	PROPN
cana-4932	148	2	𝒅𝒈|	𝒅𝒈|	PROPN
cana-4932	148	3	≥	≥	NOUN
cana-4932	148	4	⋯	⋯	VERB
cana-4932	148	5	≥	≥	NOUN
cana-4932	148	6	|𝒉𝑔.𝑁𝑔	|𝒉𝑔.𝑁𝑔	PROPN
cana-4932	148	7	𝐻	𝐻	PROPN
cana-4932	148	8	𝒅𝒈|	𝒅𝒈|	PROPN
cana-4932	148	9	.	.	PUNCT
cana-4932	149	1	𝑔	𝑔	NOUN
cana-4932	149	2	=	=	SYM
cana-4932	149	3	1.2.⋯	1.2.⋯	NUM
cana-4932	149	4	.	.	PUNCT
cana-4932	150	1	𝐺	𝐺	NOUN
cana-4932	150	2	(	(	PUNCT
cana-4932	150	3	8	8	NUM
cana-4932	150	4	-	-	SYM
cana-4932	150	5	3	3	NUM
cana-4932	150	6	)	)	PUNCT
cana-4932	150	7	communications	communication	NOUN
cana-4932	150	8	on	on	ADP
cana-4932	150	9	applied	apply	VERB
cana-4932	150	10	nonlinear	nonlinear	ADJ
cana-4932	150	11	analysis	analysis	NOUN
cana-4932	150	12	issn	issn	NOUN
cana-4932	150	13	:	:	PUNCT
cana-4932	150	14	1074	1074	NUM
cana-4932	150	15	-	-	PUNCT
cana-4932	150	16	133x	133x	NUM
cana-4932	150	17	vol	vol	VERB
cana-4932	150	18	32	32	NUM
cana-4932	150	19	no	no	NOUN
cana-4932	150	20	.	.	PUNCT
cana-4932	151	1	10s	10	NOUN
cana-4932	151	2	(	(	PUNCT
cana-4932	151	3	2025	2025	NUM
cana-4932	151	4	)	)	PUNCT
cana-4932	151	5	983	983	NUM
cana-4932	151	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	152	1	the	the	DET
cana-4932	152	2	practical	practical	ADJ
cana-4932	152	3	assumption	assumption	NOUN
cana-4932	152	4	mentioned	mention	VERB
cana-4932	152	5	in	in	ADP
cana-4932	152	6	relation	relation	NOUN
cana-4932	152	7	(	(	PUNCT
cana-4932	152	8	8	8	NUM
cana-4932	152	9	-	-	SYM
cana-4932	152	10	3	3	NUM
cana-4932	152	11	)	)	PUNCT
cana-4932	152	12	illustrates	illustrate	VERB
cana-4932	152	13	the	the	DET
cana-4932	152	14	process	process	NOUN
cana-4932	152	15	of	of	ADP
cana-4932	152	16	ordering	order	VERB
cana-4932	152	17	the	the	DET
cana-4932	152	18	primary	primary	ADJ
cana-4932	152	19	and	and	CCONJ
cana-4932	152	20	secondary	secondary	ADJ
cana-4932	152	21	user	user	NOUN
cana-4932	152	22	numbers	number	NOUN
cana-4932	152	23	present	present	ADJ
cana-4932	152	24	in	in	ADP
cana-4932	152	25	a	a	DET
cana-4932	152	26	specific	specific	ADJ
cana-4932	152	27	cluster	cluster	NOUN
cana-4932	152	28	based	base	VERB
cana-4932	152	29	on	on	ADP
cana-4932	152	30	the	the	DET
cana-4932	152	31	channel	channel	NOUN
cana-4932	152	32	conditions	condition	NOUN
cana-4932	152	33	of	of	ADP
cana-4932	152	34	users	user	NOUN
cana-4932	152	35	within	within	ADP
cana-4932	152	36	that	that	DET
cana-4932	152	37	cluster	cluster	NOUN
cana-4932	152	38	.	.	PUNCT
cana-4932	153	1	as	as	SCONJ
cana-4932	153	2	the	the	DET
cana-4932	153	3	user	user	NOUN
cana-4932	153	4	number	number	NOUN
cana-4932	153	5	increases	increase	VERB
cana-4932	153	6	within	within	ADP
cana-4932	153	7	each	each	DET
cana-4932	153	8	cluster	cluster	NOUN
cana-4932	153	9	,	,	PUNCT
cana-4932	153	10	the	the	DET
cana-4932	153	11	channel	channel	NOUN
cana-4932	153	12	condition	condition	NOUN
cana-4932	153	13	of	of	ADP
cana-4932	153	14	that	that	DET
cana-4932	153	15	user	user	NOUN
cana-4932	153	16	in	in	ADP
cana-4932	153	17	the	the	DET
cana-4932	153	18	cluster	cluster	NOUN
cana-4932	153	19	becomes	become	VERB
cana-4932	153	20	weaker	weak	ADJ
cana-4932	153	21	.	.	PUNCT
cana-4932	154	1	in	in	ADP
cana-4932	154	2	other	other	ADJ
cana-4932	154	3	words	word	NOUN
cana-4932	154	4	,	,	PUNCT
cana-4932	154	5	user	user	NOUN
cana-4932	154	6	1	1	NUM
cana-4932	154	7	in	in	ADP
cana-4932	154	8	each	each	DET
cana-4932	154	9	cluster	cluster	NOUN
cana-4932	154	10	has	have	VERB
cana-4932	154	11	the	the	DET
cana-4932	154	12	strongest	strong	ADJ
cana-4932	154	13	channel	channel	NOUN
cana-4932	154	14	,	,	PUNCT
cana-4932	154	15	and	and	CCONJ
cana-4932	154	16	user	user	NOUN
cana-4932	154	17	𝑁𝑔in	𝑁𝑔in	PROPN
cana-4932	154	18	each	each	DET
cana-4932	154	19	cluster	cluster	NOUN
cana-4932	154	20	has	have	VERB
cana-4932	154	21	the	the	DET
cana-4932	154	22	weakest	weak	ADJ
cana-4932	154	23	effective	effective	ADJ
cana-4932	154	24	channel	channel	NOUN
cana-4932	154	25	.	.	PUNCT
cana-4932	155	1	considering	consider	VERB
cana-4932	155	2	the	the	DET
cana-4932	155	3	concepts	concept	NOUN
cana-4932	155	4	based	base	VERB
cana-4932	155	5	on	on	ADP
cana-4932	155	6	the	the	DET
cana-4932	155	7	noma	noma	PROPN
cana-4932	155	8	scheme	scheme	NOUN
cana-4932	155	9	mentioned	mention	VERB
cana-4932	155	10	in	in	ADP
cana-4932	155	11	chapter	chapter	NOUN
cana-4932	155	12	1	1	NUM
cana-4932	155	13	,	,	PUNCT
cana-4932	155	14	users	user	NOUN
cana-4932	155	15	with	with	ADP
cana-4932	155	16	better	well	ADJ
cana-4932	155	17	channel	channel	NOUN
cana-4932	155	18	conditions	condition	NOUN
cana-4932	155	19	will	will	AUX
cana-4932	155	20	have	have	VERB
cana-4932	155	21	less	less	ADJ
cana-4932	155	22	power	power	NOUN
cana-4932	155	23	allocation	allocation	NOUN
cana-4932	155	24	,	,	PUNCT
cana-4932	155	25	while	while	SCONJ
cana-4932	155	26	users	user	NOUN
cana-4932	155	27	with	with	ADP
cana-4932	155	28	worse	bad	ADJ
cana-4932	155	29	channel	channel	NOUN
cana-4932	155	30	conditions	condition	NOUN
cana-4932	155	31	will	will	AUX
cana-4932	155	32	have	have	VERB
cana-4932	155	33	more	more	ADJ
cana-4932	155	34	power	power	NOUN
cana-4932	155	35	allocation	allocation	NOUN
cana-4932	155	36	.	.	PUNCT
cana-4932	156	1	therefore	therefore	ADV
cana-4932	156	2	,	,	PUNCT
cana-4932	156	3	for	for	ADP
cana-4932	156	4	each	each	DET
cana-4932	156	5	user	user	NOUN
cana-4932	156	6	belonging	belong	VERB
cana-4932	156	7	to	to	ADP
cana-4932	156	8	a	a	DET
cana-4932	156	9	specific	specific	ADJ
cana-4932	156	10	cluster	cluster	NOUN
cana-4932	156	11	,	,	PUNCT
cana-4932	156	12	a	a	DET
cana-4932	156	13	user	user	NOUN
cana-4932	156	14	with	with	ADP
cana-4932	156	15	a	a	DET
cana-4932	156	16	weaker	weak	ADJ
cana-4932	156	17	channel	channel	NOUN
cana-4932	156	18	in	in	ADP
cana-4932	156	19	that	that	DET
cana-4932	156	20	cluster	cluster	NOUN
cana-4932	156	21	will	will	AUX
cana-4932	156	22	receive	receive	VERB
cana-4932	156	23	a	a	DET
cana-4932	156	24	stronger	strong	ADJ
cana-4932	156	25	signal	signal	NOUN
cana-4932	156	26	compared	compare	VERB
cana-4932	156	27	to	to	ADP
cana-4932	156	28	other	other	ADJ
cana-4932	156	29	users	user	NOUN
cana-4932	156	30	in	in	ADP
cana-4932	156	31	that	that	DET
cana-4932	156	32	cluster	cluster	NOUN
cana-4932	156	33	.	.	PUNCT
cana-4932	157	1	in	in	ADP
cana-4932	157	2	other	other	ADJ
cana-4932	157	3	words	word	NOUN
cana-4932	157	4	,	,	PUNCT
cana-4932	157	5	the	the	DET
cana-4932	157	6	weakest	weak	ADJ
cana-4932	157	7	user	user	NOUN
cana-4932	157	8	in	in	ADP
cana-4932	157	9	a	a	DET
cana-4932	157	10	specific	specific	ADJ
cana-4932	157	11	cluster	cluster	NOUN
cana-4932	157	12	receives	receive	VERB
cana-4932	157	13	their	their	PRON
cana-4932	157	14	signal	signal	NOUN
cana-4932	157	15	stronger	strong	ADJ
cana-4932	157	16	than	than	ADP
cana-4932	157	17	other	other	ADJ
cana-4932	157	18	users	user	NOUN
cana-4932	157	19	in	in	ADP
cana-4932	157	20	that	that	DET
cana-4932	157	21	cluster	cluster	NOUN
cana-4932	157	22	and	and	CCONJ
cana-4932	157	23	therefore	therefore	ADV
cana-4932	157	24	only	only	ADV
cana-4932	157	25	decodes	decode	VERB
cana-4932	157	26	the	the	DET
cana-4932	157	27	signal	signal	NOUN
cana-4932	157	28	relevant	relevant	ADJ
cana-4932	157	29	to	to	ADP
cana-4932	157	30	themselves	themselves	PRON
cana-4932	157	31	.	.	PUNCT
cana-4932	158	1	it	it	PRON
cana-4932	158	2	is	be	AUX
cana-4932	158	3	worth	worth	ADJ
cana-4932	158	4	noting	note	VERB
cana-4932	158	5	that	that	SCONJ
cana-4932	158	6	this	this	DET
cana-4932	158	7	scenario	scenario	NOUN
cana-4932	158	8	is	be	AUX
cana-4932	158	9	only	only	ADV
cana-4932	158	10	feasible	feasible	ADJ
cana-4932	158	11	in	in	ADP
cana-4932	158	12	practice	practice	NOUN
cana-4932	158	13	when	when	SCONJ
cana-4932	158	14	the	the	DET
cana-4932	158	15	difference	difference	NOUN
cana-4932	158	16	in	in	ADP
cana-4932	158	17	power	power	NOUN
cana-4932	158	18	levels	level	NOUN
cana-4932	158	19	between	between	ADP
cana-4932	158	20	strong	strong	ADJ
cana-4932	158	21	user	user	NOUN
cana-4932	158	22	signals	signal	NOUN
cana-4932	158	23	and	and	CCONJ
cana-4932	158	24	weak	weak	ADJ
cana-4932	158	25	user	user	NOUN
cana-4932	158	26	signals	signal	NOUN
cana-4932	158	27	in	in	ADP
cana-4932	158	28	a	a	DET
cana-4932	158	29	specific	specific	ADJ
cana-4932	158	30	cluster	cluster	NOUN
cana-4932	158	31	is	be	AUX
cana-4932	158	32	considerable	considerable	ADJ
cana-4932	158	33	.	.	PUNCT
cana-4932	159	1	hence	hence	ADV
cana-4932	159	2	,	,	PUNCT
cana-4932	159	3	for	for	ADP
cana-4932	159	4	all	all	DET
cana-4932	159	5	j	j	NOUN
cana-4932	159	6	falling	fall	VERB
cana-4932	159	7	within	within	ADP
cana-4932	159	8	the	the	DET
cana-4932	159	9	inequality	inequality	NOUN
cana-4932	159	10	interval	interval	NOUN
cana-4932	159	11	𝑚	𝑚	X
cana-4932	159	12	<	<	X
cana-4932	159	13	𝑗	𝑗	PRON
cana-4932	159	14	≤	≤	ADJ
cana-4932	159	15	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	159	16	,	,	PUNCT
cana-4932	159	17	the	the	DET
cana-4932	159	18	m	m	PROPN
cana-4932	159	19	-	-	PUNCT
cana-4932	159	20	th	th	VERB
cana-4932	159	21	user	user	NOUN
cana-4932	159	22	in	in	ADP
cana-4932	159	23	the	the	DET
cana-4932	159	24	gth	gth	PROPN
cana-4932	159	25	cluster	cluster	NOUN
cana-4932	159	26	has	have	VERB
cana-4932	159	27	the	the	DET
cana-4932	159	28	capability	capability	NOUN
cana-4932	159	29	to	to	PART
cana-4932	159	30	eliminate	eliminate	VERB
cana-4932	159	31	the	the	DET
cana-4932	159	32	interfering	interfere	VERB
cana-4932	159	33	signal	signal	NOUN
cana-4932	159	34	related	relate	VERB
cana-4932	159	35	to	to	ADP
cana-4932	159	36	the	the	DET
cana-4932	159	37	mentioned	mention	VERB
cana-4932	159	38	users	user	NOUN
cana-4932	159	39	in	in	ADP
cana-4932	159	40	the	the	DET
cana-4932	159	41	gth	gth	PROPN
cana-4932	159	42	cluster	cluster	NOUN
cana-4932	159	43	by	by	ADP
cana-4932	159	44	employing	employ	VERB
cana-4932	159	45	the	the	DET
cana-4932	159	46	sic	sic	ADJ
cana-4932	159	47	method	method	NOUN
cana-4932	159	48	[	[	X
cana-4932	159	49	59	59	NUM
cana-4932	159	50	]	]	PUNCT
cana-4932	159	51	.	.	PUNCT
cana-4932	160	1	according	accord	VERB
cana-4932	160	2	to	to	ADP
cana-4932	160	3	equation	equation	NOUN
cana-4932	160	4	(	(	PUNCT
cana-4932	160	5	3	3	NUM
cana-4932	160	6	-	-	SYM
cana-4932	160	7	9	9	NUM
cana-4932	160	8	)	)	PUNCT
cana-4932	160	9	,	,	PUNCT
cana-4932	160	10	if	if	SCONJ
cana-4932	160	11	𝛾𝑔.𝑚	𝛾𝑔.𝑚	NOUN
cana-4932	160	12	represents	represent	VERB
cana-4932	160	13	the	the	DET
cana-4932	160	14	signal	signal	NOUN
cana-4932	160	15	-	-	PUNCT
cana-4932	160	16	to	to	ADP
cana-4932	160	17	-	-	PUNCT
cana-4932	160	18	noise	noise	NOUN
cana-4932	160	19	-	-	PUNCT
cana-4932	160	20	plus	plus	CCONJ
cana-4932	160	21	-	-	PUNCT
cana-4932	160	22	interference	interference	NOUN
cana-4932	160	23	ratio	ratio	NOUN
cana-4932	160	24	(	(	PUNCT
cana-4932	160	25	sinr	sinr	NOUN
cana-4932	160	26	)	)	PUNCT
cana-4932	160	27	for	for	ADP
cana-4932	160	28	user	user	NOUN
cana-4932	160	29	m	m	VERB
cana-4932	160	30	in	in	ADP
cana-4932	160	31	cluster	cluster	NOUN
cana-4932	160	32	g	g	NOUN
cana-4932	160	33	,	,	PUNCT
cana-4932	160	34	then	then	ADV
cana-4932	160	35	we	we	PRON
cana-4932	160	36	have	have	VERB
cana-4932	160	37	:	:	PUNCT
cana-4932	160	38	𝛾𝑔.𝑚	𝛾𝑔.𝑚	PROPN
cana-4932	160	39	=	=	PUNCT
cana-4932	160	40	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	NUM
cana-4932	161	1	𝐻	𝐻	PROPN
cana-4932	161	2	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	161	3	2	2	NUM
cana-4932	161	4	(	(	PUNCT
cana-4932	161	5	‖𝒉𝑔.𝑚𝐻	‖𝒉𝑔.𝑚𝐻	PROPN
cana-4932	161	6	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	161	7	2	2	NUM
cana-4932	161	8	∑	∑	PUNCT
cana-4932	161	9	𝑝𝑔.𝑗	𝑝𝑔.𝑗	PUNCT
cana-4932	162	1	+	+	CCONJ
cana-4932	162	2	𝑚−1	𝑚−1	PROPN
cana-4932	162	3	𝑗=1	𝑗=1	SYM
cana-4932	162	4	∑	∑	ADP
cana-4932	162	5	∑	∑	PUNCT
cana-4932	162	6	𝑝𝑔.𝑗‖𝒉𝑔.𝑚𝐻	𝑝𝑔.𝑗‖𝒉𝑔.𝑚𝐻	VERB
cana-4932	162	7	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	162	8	2	2	NUM
cana-4932	162	9	+	+	CCONJ
cana-4932	162	10	𝑁𝑖	𝑁𝑖	PROPN
cana-4932	162	11	𝑗=1	𝑗=1	PROPN
cana-4932	162	12	𝐺	𝐺	NOUN
cana-4932	162	13	𝑖=1	𝑖=1	PUNCT
cana-4932	162	14	𝑖≠𝑔	𝑖≠𝑔	PUNCT
cana-4932	163	1	𝜎𝑣2	𝜎𝑣2	X
cana-4932	163	2	)	)	PUNCT
cana-4932	163	3	(	(	PUNCT
cana-4932	163	4	9	9	NUM
cana-4932	163	5	-	-	SYM
cana-4932	163	6	3	3	NUM
cana-4932	163	7	)	)	PUNCT
cana-4932	163	8	in	in	ADP
cana-4932	163	9	eq	eq	ADP
cana-4932	163	10	.	.	PUNCT
cana-4932	164	1	(	(	PUNCT
cana-4932	164	2	9	9	NUM
cana-4932	164	3	-	-	SYM
cana-4932	164	4	3	3	NUM
cana-4932	164	5	)	)	PUNCT
cana-4932	164	6	,	,	PUNCT
cana-4932	164	7	for	for	ADP
cana-4932	164	8	convenience	convenience	NOUN
cana-4932	164	9	,	,	PUNCT
cana-4932	164	10	if	if	SCONJ
cana-4932	164	11	we	we	PRON
cana-4932	164	12	consider	consider	VERB
cana-4932	164	13	the	the	DET
cana-4932	164	14	denominator	denominator	NOUN
cana-4932	164	15	of	of	ADP
cana-4932	164	16	the	the	DET
cana-4932	164	17	fraction	fraction	NOUN
cana-4932	164	18	to	to	PART
cana-4932	164	19	be	be	AUX
cana-4932	164	20	equal	equal	ADJ
cana-4932	164	21	to	to	ADP
cana-4932	164	22	the	the	DET
cana-4932	164	23	scalar	scalar	ADJ
cana-4932	164	24	quantities	quantity	NOUN
cana-4932	164	25	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	164	26	,	,	PUNCT
cana-4932	164	27	we	we	PRON
cana-4932	164	28	will	will	AUX
cana-4932	164	29	have	have	VERB
cana-4932	164	30	:	:	PUNCT
cana-4932	164	31	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	164	32	=	=	SYM
cana-4932	164	33	(	(	PUNCT
cana-4932	164	34	‖𝒉𝑔.𝑚	‖𝒉𝑔.𝑚	PUNCT
cana-4932	164	35	𝐻	𝐻	NOUN
cana-4932	164	36	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	164	37	2	2	NUM
cana-4932	164	38	∑	∑	PUNCT
cana-4932	164	39	𝑝𝑔.𝑗	𝑝𝑔.𝑗	PUNCT
cana-4932	165	1	+	+	CCONJ
cana-4932	166	1	𝑚−1	𝑚−1	PROPN
cana-4932	166	2	𝑗=1	𝑗=1	NOUN
cana-4932	166	3	∑∑𝑝𝑔.𝑗‖𝒉𝑔.𝑚	∑∑𝑝𝑔.𝑗‖𝒉𝑔.𝑚	VERB
cana-4932	166	4	𝐻	𝐻	PROPN
cana-4932	166	5	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	166	6	2	2	NUM
cana-4932	166	7	+	+	CCONJ
cana-4932	166	8	𝑁𝑖	𝑁𝑖	PROPN
cana-4932	166	9	𝑗=1	𝑗=1	PROPN
cana-4932	166	10	𝐺	𝐺	NOUN
cana-4932	166	11	𝑖=1	𝑖=1	PUNCT
cana-4932	166	12	𝑖≠𝑔	𝑖≠𝑔	PUNCT
cana-4932	166	13	𝜎𝑣	𝜎𝑣	ADP
cana-4932	166	14	2	2	NUM
cana-4932	166	15	)	)	PUNCT
cana-4932	166	16	(	(	PUNCT
cana-4932	166	17	10	10	NUM
cana-4932	166	18	-	-	SYM
cana-4932	166	19	3	3	NUM
cana-4932	166	20	)	)	PUNCT
cana-4932	166	21	according	accord	VERB
cana-4932	166	22	to	to	ADP
cana-4932	166	23	shannon	shannon	PROPN
cana-4932	166	24	's	's	PART
cana-4932	166	25	equation	equation	NOUN
cana-4932	166	26	,	,	PUNCT
cana-4932	166	27	the	the	DET
cana-4932	166	28	maximum	maximum	ADJ
cana-4932	166	29	achievable	achievable	ADJ
cana-4932	166	30	information	information	NOUN
cana-4932	166	31	rate	rate	NOUN
cana-4932	166	32	accessible	accessible	ADJ
cana-4932	166	33	to	to	ADP
cana-4932	166	34	the	the	DET
cana-4932	166	35	m	m	PROPN
cana-4932	166	36	-	-	PUNCT
cana-4932	166	37	th	th	X
cana-4932	166	38	secondary	secondary	ADJ
cana-4932	166	39	user	user	NOUN
cana-4932	166	40	in	in	ADP
cana-4932	166	41	cluster	cluster	NOUN
cana-4932	166	42	g	g	NOUN
cana-4932	166	43	,	,	PUNCT
cana-4932	166	44	considering	consider	VERB
cana-4932	166	45	bw	bw	PROPN
cana-4932	166	46	as	as	ADP
cana-4932	166	47	the	the	DET
cana-4932	166	48	system	system	NOUN
cana-4932	166	49	's	's	PART
cana-4932	166	50	communication	communication	NOUN
cana-4932	166	51	bandwidth	bandwidth	NOUN
cana-4932	166	52	,	,	PUNCT
cana-4932	166	53	will	will	AUX
cana-4932	166	54	be	be	AUX
cana-4932	166	55	calculated	calculate	VERB
cana-4932	166	56	as	as	SCONJ
cana-4932	166	57	follows	follow	VERB
cana-4932	166	58	:	:	PUNCT
cana-4932	166	59	𝑅𝑔.𝑚	𝑅𝑔.𝑚	ADJ
cana-4932	166	60	=	=	SYM
cana-4932	166	61	𝐵𝑊	𝐵𝑊	VERB
cana-4932	166	62	×	×	NOUN
cana-4932	166	63	𝑙𝑜𝑔2(1	𝑙𝑜𝑔2(1	NOUN
cana-4932	166	64	+	+	CCONJ
cana-4932	166	65	𝛾𝑔.𝑚	𝛾𝑔.𝑚	NUM
cana-4932	166	66	)	)	PUNCT
cana-4932	166	67	(	(	PUNCT
cana-4932	166	68	11	11	NUM
cana-4932	166	69	-	-	SYM
cana-4932	166	70	3	3	NUM
cana-4932	166	71	)	)	PUNCT
cana-4932	166	72	therefore	therefore	ADV
cana-4932	166	73	,	,	PUNCT
cana-4932	166	74	the	the	DET
cana-4932	166	75	total	total	ADJ
cana-4932	166	76	achievable	achievable	ADJ
cana-4932	166	77	sum	sum	NOUN
cana-4932	166	78	rate	rate	NOUN
cana-4932	166	79	for	for	ADP
cana-4932	166	80	all	all	DET
cana-4932	166	81	users	user	NOUN
cana-4932	166	82	in	in	ADP
cana-4932	166	83	the	the	DET
cana-4932	166	84	system	system	NOUN
cana-4932	166	85	is	be	AUX
cana-4932	166	86	calculated	calculate	VERB
cana-4932	166	87	as	as	ADP
cana-4932	166	88	the	the	DET
cana-4932	166	89	following	follow	VERB
cana-4932	166	90	equation	equation	NOUN
cana-4932	166	91	:	:	PUNCT
cana-4932	167	1	𝑅𝑠𝑢𝑚	𝑅𝑠𝑢𝑚	PROPN
cana-4932	167	2	=	=	PROPN
cana-4932	167	3	∑∑	∑∑	PROPN
cana-4932	167	4	𝑅𝑔.𝑚	𝑅𝑔.𝑚	X
cana-4932	167	5	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	167	6	𝑚=1	𝑚=1	X
cana-4932	167	7	𝐺	𝐺	NOUN
cana-4932	167	8	𝑔=1	𝑔=1	NOUN
cana-4932	167	9	(	(	PUNCT
cana-4932	167	10	12	12	NUM
cana-4932	167	11	-	-	SYM
cana-4932	167	12	3	3	NUM
cana-4932	167	13	)	)	PUNCT
cana-4932	167	14	moreover	moreover	ADV
cana-4932	167	15	,	,	PUNCT
cana-4932	167	16	the	the	DET
cana-4932	167	17	system	system	NOUN
cana-4932	167	18	spectral	spectral	ADJ
cana-4932	167	19	efficiency	efficiency	NOUN
cana-4932	167	20	will	will	AUX
cana-4932	167	21	also	also	ADV
cana-4932	167	22	be	be	AUX
cana-4932	167	23	obtained	obtain	VERB
cana-4932	167	24	according	accord	VERB
cana-4932	167	25	to	to	ADP
cana-4932	167	26	the	the	DET
cana-4932	167	27	following	follow	VERB
cana-4932	167	28	relationship	relationship	NOUN
cana-4932	167	29	:	:	PUNCT
cana-4932	167	30	𝑆𝐸	𝑆𝐸	PROPN
cana-4932	167	31	=	=	SYM
cana-4932	167	32	𝑅𝑠𝑢𝑚	𝑅𝑠𝑢𝑚	PROPN
cana-4932	167	33	𝐵𝑊	𝐵𝑊	PROPN
cana-4932	167	34	(	(	PUNCT
cana-4932	167	35	13	13	NUM
cana-4932	167	36	-	-	SYM
cana-4932	167	37	3	3	NUM
cana-4932	167	38	)	)	PUNCT
cana-4932	167	39	communications	communication	NOUN
cana-4932	167	40	on	on	ADP
cana-4932	167	41	applied	apply	VERB
cana-4932	167	42	nonlinear	nonlinear	ADJ
cana-4932	167	43	analysis	analysis	NOUN
cana-4932	167	44	issn	issn	NOUN
cana-4932	167	45	:	:	PUNCT
cana-4932	167	46	1074	1074	NUM
cana-4932	167	47	-	-	PUNCT
cana-4932	167	48	133x	133x	NUM
cana-4932	167	49	vol	vol	VERB
cana-4932	167	50	32	32	NUM
cana-4932	167	51	no	no	NOUN
cana-4932	167	52	.	.	PUNCT
cana-4932	168	1	10s	10	NOUN
cana-4932	168	2	(	(	PUNCT
cana-4932	168	3	2025	2025	NUM
cana-4932	168	4	)	)	PUNCT
cana-4932	168	5	984	984	NUM
cana-4932	168	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	168	7	according	accord	VERB
cana-4932	168	8	to	to	ADP
cana-4932	168	9	eq	eq	PROPN
cana-4932	168	10	.	.	PUNCT
cana-4932	169	1	(	(	PUNCT
cana-4932	169	2	13	13	NUM
cana-4932	169	3	-	-	SYM
cana-4932	169	4	3	3	NUM
cana-4932	169	5	)	)	PUNCT
cana-4932	169	6	,	,	PUNCT
cana-4932	169	7	in	in	ADP
cana-4932	169	8	order	order	NOUN
cana-4932	169	9	to	to	PART
cana-4932	169	10	enhance	enhance	VERB
cana-4932	169	11	the	the	DET
cana-4932	169	12	spectral	spectral	ADJ
cana-4932	169	13	efficiency	efficiency	NOUN
cana-4932	169	14	of	of	ADP
cana-4932	169	15	the	the	DET
cana-4932	169	16	system	system	NOUN
cana-4932	169	17	,	,	PUNCT
cana-4932	169	18	efficient	efficient	ADJ
cana-4932	169	19	user	user	NOUN
cana-4932	169	20	clustering	clustering	NOUN
cana-4932	169	21	,	,	PUNCT
cana-4932	169	22	effective	effective	ADJ
cana-4932	169	23	pre	pre	ADJ
cana-4932	169	24	-	-	ADJ
cana-4932	169	25	coding	code	VERB
cana-4932	169	26	for	for	ADP
cana-4932	169	27	each	each	DET
cana-4932	169	28	cluster	cluster	NOUN
cana-4932	169	29	,	,	PUNCT
cana-4932	169	30	and	and	CCONJ
cana-4932	169	31	optimal	optimal	ADJ
cana-4932	169	32	power	power	NOUN
cana-4932	169	33	allocation	allocation	NOUN
cana-4932	169	34	of	of	ADP
cana-4932	169	35	noma	noma	PROPN
cana-4932	169	36	to	to	ADP
cana-4932	169	37	each	each	DET
cana-4932	169	38	user	user	NOUN
cana-4932	169	39	must	must	AUX
cana-4932	169	40	be	be	AUX
cana-4932	169	41	utilized	utilize	VERB
cana-4932	169	42	.	.	PUNCT
cana-4932	170	1	as	as	SCONJ
cana-4932	170	2	we	we	PRON
cana-4932	170	3	know	know	VERB
cana-4932	170	4	,	,	PUNCT
cana-4932	170	5	it	it	PRON
cana-4932	170	6	is	be	AUX
cana-4932	170	7	very	very	ADV
cana-4932	170	8	challenging	challenging	ADJ
cana-4932	170	9	to	to	PART
cana-4932	170	10	simultaneously	simultaneously	ADV
cana-4932	170	11	obtain	obtain	VERB
cana-4932	170	12	the	the	DET
cana-4932	170	13	optimal	optimal	ADJ
cana-4932	170	14	method	method	NOUN
cana-4932	170	15	and	and	CCONJ
cana-4932	170	16	solution	solution	NOUN
cana-4932	170	17	for	for	ADP
cana-4932	170	18	each	each	PRON
cana-4932	170	19	of	of	ADP
cana-4932	170	20	the	the	DET
cana-4932	170	21	parameters	parameter	NOUN
cana-4932	170	22	mentioned	mention	VERB
cana-4932	170	23	above	above	ADV
cana-4932	170	24	.	.	PUNCT
cana-4932	171	1	in	in	ADP
cana-4932	171	2	the	the	DET
cana-4932	171	3	following	following	NOUN
cana-4932	171	4	,	,	PUNCT
cana-4932	171	5	we	we	PRON
cana-4932	171	6	will	will	AUX
cana-4932	171	7	thoroughly	thoroughly	ADV
cana-4932	171	8	investigate	investigate	VERB
cana-4932	171	9	the	the	DET
cana-4932	171	10	optimization	optimization	NOUN
cana-4932	171	11	problem	problem	NOUN
cana-4932	171	12	for	for	ADP
cana-4932	171	13	noma	noma	PROPN
cana-4932	171	14	power	power	NOUN
cana-4932	171	15	allocation	allocation	NOUN
cana-4932	171	16	in	in	ADP
cana-4932	171	17	the	the	DET
cana-4932	171	18	proposed	propose	VERB
cana-4932	171	19	crmn	crmn	PROPN
cana-4932	171	20	network	network	NOUN
cana-4932	171	21	.	.	PUNCT
cana-4932	172	1	the	the	DET
cana-4932	172	2	summary	summary	NOUN
cana-4932	172	3	of	of	ADP
cana-4932	172	4	our	our	PRON
cana-4932	172	5	work	work	NOUN
cana-4932	172	6	process	process	NOUN
cana-4932	172	7	is	be	AUX
cana-4932	172	8	as	as	SCONJ
cana-4932	172	9	follows	follow	VERB
cana-4932	172	10	:	:	PUNCT
cana-4932	172	11	initially	initially	ADV
cana-4932	172	12	,	,	PUNCT
cana-4932	172	13	we	we	PRON
cana-4932	172	14	incorporate	incorporate	VERB
cana-4932	172	15	cognitive	cognitive	ADJ
cana-4932	172	16	radio	radio	NOUN
cana-4932	172	17	interference	interference	NOUN
cana-4932	172	18	constraints	constraint	NOUN
cana-4932	172	19	by	by	ADP
cana-4932	172	20	defining	define	VERB
cana-4932	172	21	a	a	DET
cana-4932	172	22	threshold	threshold	NOUN
cana-4932	172	23	from	from	ADP
cana-4932	172	24	the	the	DET
cana-4932	172	25	primary	primary	ADJ
cana-4932	172	26	user	user	NOUN
cana-4932	172	27	side	side	NOUN
cana-4932	172	28	to	to	ADP
cana-4932	172	29	the	the	DET
cana-4932	172	30	issue	issue	NOUN
cana-4932	172	31	so	so	SCONJ
cana-4932	172	32	that	that	SCONJ
cana-4932	172	33	the	the	DET
cana-4932	172	34	base	base	NOUN
cana-4932	172	35	station	station	NOUN
cana-4932	172	36	,	,	PUNCT
cana-4932	172	37	managed	manage	VERB
cana-4932	172	38	by	by	ADP
cana-4932	172	39	power	power	NOUN
cana-4932	172	40	control	control	NOUN
cana-4932	172	41	,	,	PUNCT
cana-4932	172	42	can	can	AUX
cana-4932	172	43	manage	manage	VERB
cana-4932	172	44	incoming	incoming	ADJ
cana-4932	172	45	interferences	interference	NOUN
cana-4932	172	46	from	from	ADP
cana-4932	172	47	secondary	secondary	ADJ
cana-4932	172	48	users	user	NOUN
cana-4932	172	49	to	to	ADP
cana-4932	172	50	primary	primary	ADJ
cana-4932	172	51	users	user	NOUN
cana-4932	172	52	.	.	PUNCT
cana-4932	173	1	subsequently	subsequently	ADV
cana-4932	173	2	,	,	PUNCT
cana-4932	173	3	we	we	PRON
cana-4932	173	4	propose	propose	VERB
cana-4932	173	5	a	a	DET
cana-4932	173	6	method	method	NOUN
cana-4932	173	7	for	for	ADP
cana-4932	173	8	selecting	select	VERB
cana-4932	173	9	clusters	cluster	NOUN
cana-4932	173	10	in	in	ADP
cana-4932	173	11	cognitive	cognitive	ADJ
cana-4932	173	12	radio	radio	NOUN
cana-4932	173	13	networks	network	NOUN
cana-4932	173	14	,	,	PUNCT
cana-4932	173	15	and	and	CCONJ
cana-4932	173	16	finally	finally	ADV
cana-4932	173	17	,	,	PUNCT
cana-4932	173	18	an	an	DET
cana-4932	173	19	amended	amend	VERB
cana-4932	173	20	beamforming	beamforming	NOUN
cana-4932	173	21	method	method	NOUN
cana-4932	173	22	is	be	AUX
cana-4932	173	23	introduced	introduce	VERB
cana-4932	173	24	as	as	ADP
cana-4932	173	25	an	an	DET
cana-4932	173	26	alternate	alternate	ADJ
cana-4932	173	27	approach	approach	NOUN
cana-4932	173	28	.	.	PUNCT
cana-4932	174	1	3proposed	3proposed	NUM
cana-4932	174	2	method	method	NOUN
cana-4932	174	3	the	the	DET
cana-4932	174	4	primary	primary	ADJ
cana-4932	174	5	goal	goal	NOUN
cana-4932	174	6	of	of	ADP
cana-4932	174	7	next	next	ADJ
cana-4932	174	8	-	-	PUNCT
cana-4932	174	9	generation	generation	NOUN
cana-4932	174	10	telecommunications	telecommunication	NOUN
cana-4932	174	11	systems	system	NOUN
cana-4932	174	12	is	be	AUX
cana-4932	174	13	to	to	PART
cana-4932	174	14	achieve	achieve	VERB
cana-4932	174	15	high	high	ADJ
cana-4932	174	16	-	-	PUNCT
cana-4932	174	17	quality	quality	NOUN
cana-4932	174	18	services	service	NOUN
cana-4932	174	19	for	for	ADP
cana-4932	174	20	all	all	DET
cana-4932	174	21	users	user	NOUN
cana-4932	174	22	in	in	ADP
cana-4932	174	23	the	the	DET
cana-4932	174	24	network	network	NOUN
cana-4932	174	25	,	,	PUNCT
cana-4932	174	26	each	each	PRON
cana-4932	174	27	requiring	require	VERB
cana-4932	174	28	its	its	PRON
cana-4932	174	29	own	own	ADJ
cana-4932	174	30	specific	specific	ADJ
cana-4932	174	31	strategies	strategy	NOUN
cana-4932	174	32	.	.	PUNCT
cana-4932	175	1	resource	resource	NOUN
cana-4932	175	2	allocation	allocation	NOUN
cana-4932	175	3	aiming	aim	VERB
cana-4932	175	4	to	to	PART
cana-4932	175	5	maximize	maximize	VERB
cana-4932	175	6	the	the	DET
cana-4932	175	7	total	total	ADJ
cana-4932	175	8	sum	sum	NOUN
cana-4932	175	9	rate	rate	NOUN
cana-4932	175	10	of	of	ADP
cana-4932	175	11	all	all	DET
cana-4932	175	12	users	user	NOUN
cana-4932	175	13	with	with	ADP
cana-4932	175	14	noma	noma	PROPN
cana-4932	175	15	power	power	NOUN
cana-4932	175	16	optimization	optimization	NOUN
cana-4932	175	17	variable	variable	NOUN
cana-4932	175	18	is	be	AUX
cana-4932	175	19	formulated	formulate	VERB
cana-4932	175	20	as	as	ADP
cana-4932	175	21	a	a	DET
cana-4932	175	22	𝑷𝟏	𝑷𝟏	NOUN
cana-4932	175	23	problem	problem	NOUN
cana-4932	175	24	:	:	PUNCT
cana-4932	175	25	𝑷𝟏	𝑷𝟏	PROPN
cana-4932	175	26	:	:	PUNCT
cana-4932	175	27	{	{	PUNCT
cana-4932	175	28	max	max	PROPN
cana-4932	175	29	{	{	PUNCT
cana-4932	175	30	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	175	31	}	}	PUNCT
cana-4932	175	32	∑∑	∑∑	PROPN
cana-4932	175	33	𝑅𝑔.𝑚	𝑅𝑔.𝑚	X
cana-4932	175	34	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	175	35	𝑚=1	𝑚=1	X
cana-4932	175	36	𝐺	𝐺	PROPN
cana-4932	175	37	𝑔=1	𝑔=1	NOUN
cana-4932	175	38	𝑺𝒖𝒔𝒃𝒋𝒆𝒄𝒕	𝑺𝒖𝒔𝒃𝒋𝒆𝒄𝒕	PROPN
cana-4932	175	39	𝒕𝒐.	𝒕𝒐.	NOUN
cana-4932	175	40	𝐶1	𝐶1	PROPN
cana-4932	175	41	(	(	PUNCT
cana-4932	175	42	𝑝1	𝑝1	NOUN
cana-4932	175	43	):	):	PUNCT
cana-4932	175	44	𝑝𝑔.𝑚	𝑝𝑔.𝑚	PROPN
cana-4932	175	45	≥	≥	NOUN
cana-4932	175	46	0	0	NUM
cana-4932	175	47	.	.	PUNCT
cana-4932	176	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	176	2	𝐶2	𝐶2	PROPN
cana-4932	176	3	(	(	PUNCT
cana-4932	176	4	𝑝1):∑	𝑝1):∑	PROPN
cana-4932	176	5	∑	∑	PUNCT
cana-4932	176	6	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	176	7	≤	≤	ADJ
cana-4932	177	1	𝑃𝑚𝑎𝑥	𝑃𝑚𝑎𝑥	PROPN
cana-4932	178	1	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	178	2	𝑚=1	𝑚=1	X
cana-4932	178	3	𝐺	𝐺	PROPN
cana-4932	178	4	𝑔=1	𝑔=1	ADJ
cana-4932	178	5	𝐶3	𝐶3	PROPN
cana-4932	178	6	(	(	PUNCT
cana-4932	178	7	𝑝1	𝑝1	NOUN
cana-4932	178	8	):	):	PUNCT
cana-4932	178	9	𝑝𝑔.𝑚+1	𝑝𝑔.𝑚+1	PROPN
cana-4932	178	10	≥	≥	NUM
cana-4932	178	11	𝛼	𝛼	PRON
cana-4932	178	12	×	×	NOUN
cana-4932	178	13	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	178	14	.	.	PUNCT
cana-4932	179	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	179	2	in	in	ADP
cana-4932	179	3	problem	problem	NOUN
cana-4932	179	4	𝑷𝟏	𝑷𝟏	PROPN
cana-4932	179	5	,	,	PUNCT
cana-4932	179	6	𝑅𝑔.𝑚	𝑅𝑔.𝑚	VERB
cana-4932	179	7	represents	represent	VERB
cana-4932	179	8	an	an	DET
cana-4932	179	9	argument	argument	NOUN
cana-4932	179	10	of	of	ADP
cana-4932	179	11	the	the	DET
cana-4932	179	12	objective	objective	ADJ
cana-4932	179	13	function	function	NOUN
cana-4932	179	14	,	,	PUNCT
cana-4932	179	15	essentially	essentially	ADV
cana-4932	179	16	indicating	indicate	VERB
cana-4932	179	17	the	the	DET
cana-4932	179	18	maximum	maximum	ADJ
cana-4932	179	19	achievable	achievable	ADJ
cana-4932	179	20	throughput	throughput	NOUN
cana-4932	179	21	of	of	ADP
cana-4932	179	22	the	the	DET
cana-4932	179	23	cognitive	cognitive	ADJ
cana-4932	179	24	radio	radio	NOUN
cana-4932	179	25	network	network	NOUN
cana-4932	179	26	and	and	CCONJ
cana-4932	179	27	the	the	DET
cana-4932	179	28	achievable	achievable	ADJ
cana-4932	179	29	rate	rate	NOUN
cana-4932	179	30	of	of	ADP
cana-4932	179	31	information	information	NOUN
cana-4932	179	32	by	by	ADP
cana-4932	179	33	user	user	NOUN
cana-4932	179	34	m	m	PROPN
cana-4932	179	35	in	in	ADP
cana-4932	179	36	cluster	cluster	NOUN
cana-4932	179	37	g.	g.	NOUN
cana-4932	180	1	the	the	DET
cana-4932	180	2	optimization	optimization	NOUN
cana-4932	180	3	variable	variable	NOUN
cana-4932	180	4	{	{	PUNCT
cana-4932	180	5	𝑝𝑔.𝑚}is	𝑝𝑔.𝑚}is	PROPN
cana-4932	180	6	the	the	DET
cana-4932	180	7	power	power	NOUN
cana-4932	180	8	allocated	allocate	VERB
cana-4932	180	9	by	by	ADP
cana-4932	180	10	the	the	DET
cana-4932	180	11	noma	noma	PROPN
cana-4932	180	12	scheme	scheme	NOUN
cana-4932	180	13	to	to	ADP
cana-4932	180	14	users	user	NOUN
cana-4932	180	15	in	in	ADP
cana-4932	180	16	each	each	DET
cana-4932	180	17	cluster	cluster	NOUN
cana-4932	180	18	,	,	PUNCT
cana-4932	180	19	thereby	thereby	ADV
cana-4932	180	20	maximizing	maximize	VERB
cana-4932	180	21	the	the	DET
cana-4932	180	22	objective	objective	ADJ
cana-4932	180	23	function	function	NOUN
cana-4932	180	24	.	.	PUNCT
cana-4932	181	1	the	the	DET
cana-4932	181	2	parameters	parameter	NOUN
cana-4932	181	3	𝑃𝑚𝑎𝑥	𝑃𝑚𝑎𝑥	PROPN
cana-4932	181	4	,	,	PUNCT
cana-4932	181	5	𝛼	𝛼	X
cana-4932	181	6	,	,	PUNCT
cana-4932	181	7	and	and	CCONJ
cana-4932	181	8	𝐼𝑡ℎare	𝐼𝑡ℎare	PROPN
cana-4932	181	9	known	know	VERB
cana-4932	181	10	as	as	ADP
cana-4932	181	11	inputs	input	NOUN
cana-4932	181	12	to	to	ADP
cana-4932	181	13	the	the	DET
cana-4932	181	14	problem	problem	NOUN
cana-4932	181	15	,	,	PUNCT
cana-4932	181	16	representing	represent	VERB
cana-4932	181	17	respectively	respectively	ADV
cana-4932	181	18	the	the	DET
cana-4932	181	19	maximum	maximum	ADJ
cana-4932	181	20	power	power	NOUN
cana-4932	181	21	from	from	ADP
cana-4932	181	22	the	the	DET
cana-4932	181	23	transmitter	transmitter	NOUN
cana-4932	181	24	's	's	PART
cana-4932	181	25	power	power	NOUN
cana-4932	181	26	amplifier	amplifier	NOUN
cana-4932	181	27	,	,	PUNCT
cana-4932	181	28	the	the	DET
cana-4932	181	29	scale	scale	NOUN
cana-4932	181	30	ratio	ratio	NOUN
cana-4932	181	31	factor	factor	NOUN
cana-4932	181	32	greater	great	ADJ
cana-4932	181	33	than	than	ADP
cana-4932	181	34	1	1	NUM
cana-4932	181	35	,	,	PUNCT
cana-4932	181	36	and	and	CCONJ
cana-4932	181	37	the	the	DET
cana-4932	181	38	maximum	maximum	ADJ
cana-4932	181	39	tolerable	tolerable	ADJ
cana-4932	181	40	interference	interference	NOUN
cana-4932	181	41	level	level	NOUN
cana-4932	181	42	for	for	ADP
cana-4932	181	43	the	the	DET
cana-4932	181	44	primary	primary	ADJ
cana-4932	181	45	user	user	NOUN
cana-4932	181	46	.	.	PUNCT
cana-4932	182	1	the	the	DET
cana-4932	182	2	constraint	constraint	NOUN
cana-4932	182	3	𝐶1	𝐶1	PRON
cana-4932	182	4	(	(	PUNCT
cana-4932	182	5	𝑝1)is	𝑝1)is	PROPN
cana-4932	182	6	a	a	DET
cana-4932	182	7	non	non	ADJ
cana-4932	182	8	-	-	ADJ
cana-4932	182	9	negativity	negativity	ADJ
cana-4932	182	10	constraint	constraint	NOUN
cana-4932	182	11	on	on	ADP
cana-4932	182	12	the	the	DET
cana-4932	182	13	power	power	NOUN
cana-4932	182	14	allocated	allocate	VERB
cana-4932	182	15	by	by	ADP
cana-4932	182	16	each	each	DET
cana-4932	182	17	user	user	NOUN
cana-4932	182	18	for	for	ADP
cana-4932	182	19	each	each	DET
cana-4932	182	20	m	m	NOUN
cana-4932	182	21	,	,	PUNCT
cana-4932	182	22	g.	g.	PROPN
cana-4932	182	23	the	the	DET
cana-4932	182	24	constraint	constraint	PROPN
cana-4932	183	1	𝐶2	𝐶2	X
cana-4932	183	2	(	(	PUNCT
cana-4932	183	3	𝑝1)limits	𝑝1)limit	NOUN
cana-4932	183	4	the	the	DET
cana-4932	183	5	power	power	NOUN
cana-4932	183	6	level	level	NOUN
cana-4932	183	7	that	that	PRON
cana-4932	183	8	can	can	AUX
cana-4932	183	9	be	be	AUX
cana-4932	183	10	transmitted	transmit	VERB
cana-4932	183	11	by	by	ADP
cana-4932	183	12	the	the	DET
cana-4932	183	13	base	base	NOUN
cana-4932	183	14	station	station	NOUN
cana-4932	183	15	or	or	CCONJ
cana-4932	183	16	,	,	PUNCT
cana-4932	183	17	in	in	ADP
cana-4932	183	18	other	other	ADJ
cana-4932	183	19	words	word	NOUN
cana-4932	183	20	,	,	PUNCT
cana-4932	183	21	at	at	ADP
cana-4932	183	22	best	good	ADJ
cana-4932	183	23	,	,	PUNCT
cana-4932	183	24	it	it	PRON
cana-4932	183	25	corresponds	correspond	VERB
cana-4932	183	26	to	to	ADP
cana-4932	183	27	the	the	DET
cana-4932	183	28	total	total	ADJ
cana-4932	183	29	power	power	NOUN
cana-4932	183	30	allocated	allocate	VERB
cana-4932	183	31	to	to	ADP
cana-4932	183	32	all	all	DET
cana-4932	183	33	users	user	NOUN
cana-4932	183	34	,	,	PUNCT
cana-4932	183	35	which	which	PRON
cana-4932	183	36	is	be	AUX
cana-4932	183	37	equivalent	equivalent	ADJ
cana-4932	183	38	to	to	ADP
cana-4932	183	39	the	the	DET
cana-4932	183	40	power	power	NOUN
cana-4932	183	41	transmitted	transmit	VERB
cana-4932	183	42	by	by	ADP
cana-4932	183	43	the	the	DET
cana-4932	183	44	base	base	NOUN
cana-4932	183	45	station	station	NOUN
cana-4932	183	46	.	.	PUNCT
cana-4932	184	1	the	the	DET
cana-4932	184	2	constraint	constraint	PROPN
cana-4932	184	3	𝐶3	𝐶3	NOUN
cana-4932	184	4	(	(	PUNCT
cana-4932	184	5	𝑝1	𝑝1	NOUN
cana-4932	184	6	)	)	PUNCT
cana-4932	184	7	defines	define	VERB
cana-4932	184	8	the	the	DET
cana-4932	184	9	power	power	NOUN
cana-4932	184	10	allocation	allocation	NOUN
cana-4932	184	11	among	among	ADP
cana-4932	184	12	users	user	NOUN
cana-4932	184	13	close	close	ADJ
cana-4932	184	14	and	and	CCONJ
cana-4932	184	15	far	far	ADV
cana-4932	184	16	from	from	ADP
cana-4932	184	17	the	the	DET
cana-4932	184	18	base	base	NOUN
cana-4932	184	19	station	station	NOUN
cana-4932	184	20	in	in	ADP
cana-4932	184	21	all	all	DET
cana-4932	184	22	clusters	cluster	NOUN
cana-4932	184	23	.	.	PUNCT
cana-4932	185	1	by	by	ADP
cana-4932	185	2	satisfying	satisfy	VERB
cana-4932	185	3	this	this	DET
cana-4932	185	4	constraint	constraint	NOUN
cana-4932	185	5	,	,	PUNCT
cana-4932	185	6	fairness	fairness	NOUN
cana-4932	185	7	in	in	ADP
cana-4932	185	8	the	the	DET
cana-4932	185	9	allocation	allocation	NOUN
cana-4932	185	10	of	of	ADP
cana-4932	185	11	power	power	NOUN
cana-4932	185	12	levels	level	NOUN
cana-4932	185	13	to	to	ADP
cana-4932	185	14	weak	weak	ADJ
cana-4932	185	15	and	and	CCONJ
cana-4932	185	16	strong	strong	ADJ
cana-4932	185	17	users	user	NOUN
cana-4932	185	18	is	be	AUX
cana-4932	185	19	ensured	ensure	VERB
cana-4932	185	20	,	,	PUNCT
cana-4932	185	21	the	the	DET
cana-4932	185	22	sic	sic	ADJ
cana-4932	185	23	method	method	NOUN
cana-4932	185	24	is	be	AUX
cana-4932	185	25	correctly	correctly	ADV
cana-4932	185	26	implemented	implement	VERB
cana-4932	185	27	in	in	ADP
cana-4932	185	28	the	the	DET
cana-4932	185	29	user	user	NOUN
cana-4932	185	30	receivers	receiver	NOUN
cana-4932	185	31	,	,	PUNCT
cana-4932	185	32	and	and	CCONJ
cana-4932	185	33	severe	severe	ADJ
cana-4932	185	34	sinr	sinr	NOUN
cana-4932	185	35	degradation	degradation	NOUN
cana-4932	185	36	for	for	ADP
cana-4932	185	37	weak	weak	ADJ
cana-4932	185	38	users	user	NOUN
cana-4932	185	39	is	be	AUX
cana-4932	185	40	prevented	prevent	VERB
cana-4932	185	41	.	.	PUNCT
cana-4932	186	1	by	by	ADP
cana-4932	186	2	imposing	impose	VERB
cana-4932	186	3	this	this	DET
cana-4932	186	4	constraint	constraint	NOUN
cana-4932	186	5	,	,	PUNCT
cana-4932	186	6	the	the	DET
cana-4932	186	7	problem	problem	NOUN
cana-4932	186	8	of	of	ADP
cana-4932	186	9	power	power	NOUN
cana-4932	186	10	allocation	allocation	NOUN
cana-4932	186	11	among	among	ADP
cana-4932	186	12	users	user	NOUN
cana-4932	186	13	within	within	ADP
cana-4932	186	14	each	each	DET
cana-4932	186	15	cluster	cluster	NOUN
cana-4932	186	16	in	in	ADP
cana-4932	186	17	the	the	DET
cana-4932	186	18	reference	reference	NOUN
cana-4932	186	19	[	[	X
cana-4932	186	20	53	53	NUM
cana-4932	186	21	]	]	PUNCT
cana-4932	186	22	,	,	PUNCT
cana-4932	186	23	which	which	PRON
cana-4932	186	24	was	be	AUX
cana-4932	186	25	in	in	ADP
cana-4932	186	26	conflict	conflict	NOUN
cana-4932	186	27	with	with	ADP
cana-4932	186	28	the	the	DET
cana-4932	186	29	nature	nature	NOUN
cana-4932	186	30	of	of	ADP
cana-4932	186	31	noma	noma	PROPN
cana-4932	186	32	,	,	PUNCT
cana-4932	186	33	was	be	AUX
cana-4932	186	34	corrected	correct	VERB
cana-4932	186	35	[	[	PUNCT
cana-4932	186	36	66	66	NUM
cana-4932	186	37	]	]	PUNCT
cana-4932	186	38	.	.	PUNCT
cana-4932	187	1	by	by	ADP
cana-4932	187	2	generalizing	generalize	VERB
cana-4932	187	3	the	the	DET
cana-4932	187	4	issue	issue	NOUN
cana-4932	187	5	to	to	ADP
cana-4932	187	6	the	the	DET
cana-4932	187	7	cognitive	cognitive	ADJ
cana-4932	187	8	radio	radio	NOUN
cana-4932	187	9	domain	domain	NOUN
cana-4932	187	10	,	,	PUNCT
cana-4932	187	11	one	one	NUM
cana-4932	187	12	of	of	ADP
cana-4932	187	13	the	the	DET
cana-4932	187	14	most	most	ADV
cana-4932	187	15	significant	significant	ADJ
cana-4932	187	16	challenges	challenge	NOUN
cana-4932	187	17	we	we	PRON
cana-4932	187	18	will	will	AUX
cana-4932	187	19	face	face	VERB
cana-4932	187	20	is	be	AUX
cana-4932	187	21	the	the	DET
cana-4932	187	22	communications	communication	NOUN
cana-4932	187	23	on	on	ADP
cana-4932	187	24	applied	apply	VERB
cana-4932	187	25	nonlinear	nonlinear	ADJ
cana-4932	187	26	analysis	analysis	NOUN
cana-4932	187	27	issn	issn	NOUN
cana-4932	187	28	:	:	PUNCT
cana-4932	187	29	1074	1074	NUM
cana-4932	187	30	-	-	PUNCT
cana-4932	187	31	133x	133x	NUM
cana-4932	187	32	vol	vol	VERB
cana-4932	187	33	32	32	NUM
cana-4932	187	34	no	no	NOUN
cana-4932	187	35	.	.	PUNCT
cana-4932	188	1	10s	10	NOUN
cana-4932	188	2	(	(	PUNCT
cana-4932	188	3	2025	2025	NUM
cana-4932	188	4	)	)	PUNCT
cana-4932	188	5	985	985	NUM
cana-4932	188	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	188	7	interferences	interference	NOUN
cana-4932	188	8	affecting	affect	VERB
cana-4932	188	9	the	the	DET
cana-4932	188	10	primary	primary	ADJ
cana-4932	188	11	user	user	NOUN
cana-4932	188	12	.	.	PUNCT
cana-4932	189	1	hence	hence	ADV
cana-4932	189	2	,	,	PUNCT
cana-4932	189	3	the	the	DET
cana-4932	189	4	proposed	propose	VERB
cana-4932	189	5	methods	method	NOUN
cana-4932	189	6	discussed	discuss	VERB
cana-4932	189	7	below	below	ADV
cana-4932	189	8	are	be	AUX
cana-4932	189	9	considered	consider	VERB
cana-4932	189	10	as	as	ADP
cana-4932	189	11	solutions	solution	NOUN
cana-4932	189	12	for	for	ADP
cana-4932	189	13	minimizing	minimize	VERB
cana-4932	189	14	these	these	DET
cana-4932	189	15	interferences	interference	NOUN
cana-4932	189	16	.	.	PUNCT
cana-4932	190	1	continuing	continue	VERB
cana-4932	190	2	,	,	PUNCT
cana-4932	190	3	we	we	PRON
cana-4932	190	4	define	define	VERB
cana-4932	190	5	the	the	DET
cana-4932	190	6	optimization	optimization	NOUN
cana-4932	190	7	problem	problem	NOUN
cana-4932	190	8	𝑷𝟐.	𝑷𝟐.	NOUN
cana-4932	190	9	we	we	PRON
cana-4932	190	10	introduce	introduce	VERB
cana-4932	190	11	the	the	DET
cana-4932	190	12	proposed	propose	VERB
cana-4932	190	13	methods	method	NOUN
cana-4932	190	14	in	in	ADP
cana-4932	190	15	each	each	DET
cana-4932	190	16	subsection	subsection	NOUN
cana-4932	190	17	and	and	CCONJ
cana-4932	190	18	then	then	ADV
cana-4932	190	19	formulate	formulate	VERB
cana-4932	190	20	the	the	DET
cana-4932	190	21	problem	problem	NOUN
cana-4932	190	22	for	for	ADP
cana-4932	190	23	optimizing	optimize	VERB
cana-4932	190	24	the	the	DET
cana-4932	190	25	total	total	ADJ
cana-4932	190	26	system	system	NOUN
cana-4932	190	27	rate	rate	NOUN
cana-4932	190	28	of	of	ADP
cana-4932	190	29	the	the	DET
cana-4932	190	30	proposed	propose	VERB
cana-4932	190	31	system	system	NOUN
cana-4932	190	32	.	.	PUNCT
cana-4932	191	1	3	3	NUM
cana-4932	191	2	-	-	SYM
cana-4932	191	3	1	1	NUM
cana-4932	191	4	first	first	ADJ
cana-4932	191	5	proposed	propose	VERB
cana-4932	191	6	method	method	NOUN
cana-4932	191	7	:	:	PUNCT
cana-4932	191	8	power	power	NOUN
cana-4932	191	9	management	management	NOUN
cana-4932	191	10	by	by	ADP
cana-4932	191	11	interference	interference	NOUN
cana-4932	191	12	threshold	threshold	NOUN
cana-4932	191	13	setting	setting	NOUN
cana-4932	191	14	in	in	ADP
cana-4932	191	15	crmn	crmn	ADJ
cana-4932	191	16	system	system	NOUN
cana-4932	191	17	problem	problem	NOUN
cana-4932	191	18	𝑷𝟐is	𝑷𝟐i	VERB
cana-4932	191	19	an	an	DET
cana-4932	191	20	optimization	optimization	NOUN
cana-4932	191	21	problem	problem	NOUN
cana-4932	191	22	of	of	ADP
cana-4932	191	23	resource	resource	NOUN
cana-4932	191	24	allocation	allocation	NOUN
cana-4932	191	25	in	in	ADP
cana-4932	191	26	the	the	DET
cana-4932	191	27	crmn	crmn	ADJ
cana-4932	191	28	system	system	NOUN
cana-4932	191	29	,	,	PUNCT
cana-4932	191	30	with	with	ADP
cana-4932	191	31	the	the	DET
cana-4932	191	32	objective	objective	ADJ
cana-4932	191	33	function	function	NOUN
cana-4932	191	34	of	of	ADP
cana-4932	191	35	maximizing	maximize	VERB
cana-4932	191	36	the	the	DET
cana-4932	191	37	sum	sum	NOUN
cana-4932	191	38	rate	rate	NOUN
cana-4932	191	39	of	of	ADP
cana-4932	191	40	cognitive	cognitive	ADJ
cana-4932	191	41	radio	radio	NOUN
cana-4932	191	42	network	network	NOUN
cana-4932	191	43	.	.	PUNCT
cana-4932	192	1	the	the	DET
cana-4932	192	2	constraints	constraint	NOUN
cana-4932	192	3	of	of	ADP
cana-4932	192	4	problem	problem	NOUN
cana-4932	192	5	𝑷𝟐include	𝑷𝟐include	NOUN
cana-4932	192	6	total	total	ADJ
cana-4932	192	7	transmit	transmit	NOUN
cana-4932	192	8	power	power	NOUN
cana-4932	192	9	of	of	ADP
cana-4932	192	10	cognitive	cognitive	ADJ
cana-4932	192	11	radio	radio	NOUN
cana-4932	192	12	network	network	NOUN
cana-4932	192	13	,	,	PUNCT
cana-4932	192	14	power	power	NOUN
cana-4932	192	15	allocation	allocation	NOUN
cana-4932	192	16	for	for	ADP
cana-4932	192	17	ensuring	ensure	VERB
cana-4932	192	18	fairness	fairness	NOUN
cana-4932	192	19	among	among	ADP
cana-4932	192	20	users	user	NOUN
cana-4932	192	21	with	with	ADP
cana-4932	192	22	different	different	ADJ
cana-4932	192	23	channel	channel	NOUN
cana-4932	192	24	conditions	condition	NOUN
cana-4932	192	25	,	,	PUNCT
cana-4932	192	26	and	and	CCONJ
cana-4932	192	27	the	the	DET
cana-4932	192	28	interference	interference	NOUN
cana-4932	192	29	constraint	constraint	NOUN
cana-4932	192	30	introduced	introduce	VERB
cana-4932	192	31	by	by	ADP
cana-4932	192	32	secondary	secondary	ADJ
cana-4932	192	33	users	user	NOUN
cana-4932	192	34	on	on	ADP
cana-4932	192	35	primary	primary	ADJ
cana-4932	192	36	users	user	NOUN
cana-4932	192	37	.	.	PUNCT
cana-4932	193	1	ultimately	ultimately	ADV
cana-4932	193	2	,	,	PUNCT
cana-4932	193	3	the	the	DET
cana-4932	193	4	problem	problem	NOUN
cana-4932	193	5	is	be	AUX
cana-4932	193	6	formulated	formulate	VERB
cana-4932	193	7	to	to	PART
cana-4932	193	8	optimize	optimize	VERB
cana-4932	193	9	noma	noma	NOUN
cana-4932	193	10	power	power	NOUN
cana-4932	193	11	as	as	SCONJ
cana-4932	193	12	follows	follow	VERB
cana-4932	193	13	:	:	PUNCT
cana-4932	193	14	𝑷𝟐	𝑷𝟐	NOUN
cana-4932	193	15	:	:	PUNCT
cana-4932	193	16	{	{	PUNCT
cana-4932	193	17	max	max	PROPN
cana-4932	193	18	{	{	PUNCT
cana-4932	193	19	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	193	20	}	}	PUNCT
cana-4932	193	21	∑∑	∑∑	PROPN
cana-4932	193	22	𝑅𝑔.𝑚	𝑅𝑔.𝑚	X
cana-4932	193	23	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	193	24	𝑚=1	𝑚=1	X
cana-4932	193	25	𝐺	𝐺	PROPN
cana-4932	193	26	𝑔=1	𝑔=1	NOUN
cana-4932	193	27	𝑺𝒖𝒔𝒃𝒋𝒆𝒄𝒕	𝑺𝒖𝒔𝒃𝒋𝒆𝒄𝒕	PROPN
cana-4932	193	28	𝒕𝒐.	𝒕𝒐.	NOUN
cana-4932	193	29	𝐶1	𝐶1	PROPN
cana-4932	193	30	(	(	PUNCT
cana-4932	193	31	𝑝2	𝑝2	NOUN
cana-4932	193	32	):	):	PUNCT
cana-4932	193	33	𝑝𝑔.𝑚	𝑝𝑔.𝑚	PROPN
cana-4932	193	34	≥	≥	NOUN
cana-4932	193	35	0	0	NUM
cana-4932	193	36	.	.	PUNCT
cana-4932	194	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	194	2	𝐶2	𝐶2	INTJ
cana-4932	194	3	(	(	PUNCT
cana-4932	194	4	𝑝2):∑	𝑝2):∑	ADP
cana-4932	194	5	∑	∑	PUNCT
cana-4932	194	6	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	194	7	≤	≤	ADJ
cana-4932	195	1	𝑃𝑚𝑎𝑥	𝑃𝑚𝑎𝑥	PROPN
cana-4932	196	1	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	196	2	𝑚=1	𝑚=1	X
cana-4932	196	3	𝐺	𝐺	PROPN
cana-4932	196	4	𝑔=1	𝑔=1	ADJ
cana-4932	196	5	𝐶3	𝐶3	PROPN
cana-4932	196	6	(	(	PUNCT
cana-4932	196	7	𝑝2	𝑝2	NOUN
cana-4932	196	8	):	):	PUNCT
cana-4932	196	9	𝑝𝑔.𝑚+1	𝑝𝑔.𝑚+1	NUM
cana-4932	196	10	≥	≥	NOUN
cana-4932	196	11	𝛼	𝛼	PRON
cana-4932	196	12	×	×	NOUN
cana-4932	196	13	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	196	14	.	.	PUNCT
cana-4932	197	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	197	2	𝐶4	𝐶4	PROPN
cana-4932	197	3	(	(	PUNCT
cana-4932	197	4	𝑝2):∑[‖𝒉𝒑𝒖𝒅𝒈‖2	𝑝2):∑[‖𝒉𝒑𝒖𝒅𝒈‖2	ADJ
cana-4932	197	5	2	2	NUM
cana-4932	197	6	∑	∑	PART
cana-4932	197	7	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	197	8	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	197	9	𝑚=1	𝑚=1	X
cana-4932	197	10	]	]	PUNCT
cana-4932	197	11	≤	≤	NUM
cana-4932	197	12	𝐼𝑡ℎ	𝐼𝑡ℎ	PROPN
cana-4932	197	13	𝐺	𝐺	PROPN
cana-4932	197	14	𝑔=1	𝑔=1	NOUN
cana-4932	197	15	.	.	PUNCT
cana-4932	198	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	198	2	the	the	DET
cana-4932	198	3	difference	difference	NOUN
cana-4932	198	4	between	between	ADP
cana-4932	198	5	the	the	DET
cana-4932	198	6	optimization	optimization	NOUN
cana-4932	198	7	problem	problem	NOUN
cana-4932	199	1	𝑷𝟏and	𝑷𝟏and	PRON
cana-4932	199	2	the	the	DET
cana-4932	199	3	problem	problem	NOUN
cana-4932	199	4	𝑷𝟐lies	𝑷𝟐lie	NOUN
cana-4932	199	5	in	in	ADP
cana-4932	199	6	the	the	DET
cana-4932	199	7	addition	addition	NOUN
cana-4932	199	8	of	of	ADP
cana-4932	199	9	a	a	DET
cana-4932	199	10	constraint	constraint	NOUN
cana-4932	199	11	𝐶4	𝐶4	NOUN
cana-4932	199	12	(	(	PUNCT
cana-4932	199	13	𝑝2)that	𝑝2)that	PROPN
cana-4932	199	14	represents	represent	VERB
cana-4932	199	15	the	the	DET
cana-4932	199	16	interference	interference	NOUN
cana-4932	199	17	constraint	constraint	NOUN
cana-4932	199	18	imposed	impose	VERB
cana-4932	199	19	by	by	ADP
cana-4932	199	20	cognitive	cognitive	ADJ
cana-4932	199	21	radio	radio	NOUN
cana-4932	199	22	users	user	NOUN
cana-4932	199	23	on	on	ADP
cana-4932	199	24	the	the	DET
cana-4932	199	25	primary	primary	ADJ
cana-4932	199	26	user	user	NOUN
cana-4932	199	27	;	;	PUNCT
cana-4932	199	28	since	since	SCONJ
cana-4932	199	29	no	no	DET
cana-4932	199	30	interference	interference	NOUN
cana-4932	199	31	should	should	AUX
cana-4932	199	32	occur	occur	VERB
cana-4932	199	33	for	for	ADP
cana-4932	199	34	the	the	DET
cana-4932	199	35	primary	primary	ADJ
cana-4932	199	36	user	user	NOUN
cana-4932	199	37	when	when	SCONJ
cana-4932	199	38	using	use	VERB
cana-4932	199	39	the	the	DET
cana-4932	199	40	channel	channel	NOUN
cana-4932	199	41	,	,	PUNCT
cana-4932	199	42	the	the	DET
cana-4932	199	43	base	base	NOUN
cana-4932	199	44	station	station	NOUN
cana-4932	199	45	should	should	AUX
cana-4932	199	46	control	control	VERB
cana-4932	199	47	interference	interference	NOUN
cana-4932	199	48	by	by	ADP
cana-4932	199	49	reducing	reduce	VERB
cana-4932	199	50	its	its	PRON
cana-4932	199	51	power	power	NOUN
cana-4932	199	52	to	to	ADP
cana-4932	199	53	a	a	DET
cana-4932	199	54	level	level	NOUN
cana-4932	199	55	below	below	ADP
cana-4932	199	56	the	the	DET
cana-4932	199	57	interference	interference	NOUN
cana-4932	199	58	threshold	threshold	NOUN
cana-4932	199	59	that	that	PRON
cana-4932	199	60	is	be	AUX
cana-4932	199	61	tolerable	tolerable	ADJ
cana-4932	199	62	for	for	ADP
cana-4932	199	63	the	the	DET
cana-4932	199	64	primary	primary	ADJ
cana-4932	199	65	user	user	NOUN
cana-4932	199	66	and	and	CCONJ
cana-4932	199	67	prevent	prevent	VERB
cana-4932	199	68	interference	interference	NOUN
cana-4932	199	69	on	on	ADP
cana-4932	199	70	the	the	DET
cana-4932	199	71	pu	pu	PROPN
cana-4932	199	72	channel	channel	PROPN
cana-4932	199	73	.	.	PUNCT
cana-4932	200	1	the	the	DET
cana-4932	200	2	objective	objective	ADJ
cana-4932	200	3	function	function	NOUN
cana-4932	200	4	of	of	ADP
cana-4932	200	5	problem	problem	NOUN
cana-4932	200	6	𝑷𝟏	𝑷𝟏	PROPN
cana-4932	200	7	,	,	PUNCT
cana-4932	200	8	as	as	SCONJ
cana-4932	200	9	indicated	indicate	VERB
cana-4932	200	10	by	by	ADP
cana-4932	200	11	the	the	DET
cana-4932	200	12	definition	definition	NOUN
cana-4932	200	13	of	of	ADP
cana-4932	200	14	sum	sum	NOUN
cana-4932	200	15	rate	rate	NOUN
cana-4932	200	16	and	and	CCONJ
cana-4932	200	17	shannon	shannon	NOUN
cana-4932	200	18	's	's	PART
cana-4932	200	19	law	law	NOUN
cana-4932	200	20	in	in	ADP
cana-4932	200	21	eq	eq	ADP
cana-4932	200	22	.	.	PUNCT
cana-4932	201	1	(	(	PUNCT
cana-4932	201	2	11	11	NUM
cana-4932	201	3	-	-	SYM
cana-4932	201	4	3	3	NUM
cana-4932	201	5	)	)	PUNCT
cana-4932	201	6	,	,	PUNCT
cana-4932	201	7	is	be	AUX
cana-4932	201	8	a	a	DET
cana-4932	201	9	logarithmic	logarithmic	ADJ
cana-4932	201	10	function	function	NOUN
cana-4932	201	11	and	and	CCONJ
cana-4932	201	12	essentially	essentially	ADV
cana-4932	201	13	a	a	DET
cana-4932	201	14	non	non	ADJ
cana-4932	201	15	-	-	ADJ
cana-4932	201	16	convex	convex	ADJ
cana-4932	201	17	optimization	optimization	NOUN
cana-4932	201	18	problem	problem	NOUN
cana-4932	201	19	with	with	ADP
cana-4932	201	20	respect	respect	NOUN
cana-4932	201	21	to	to	ADP
cana-4932	201	22	the	the	DET
cana-4932	201	23	optimization	optimization	NOUN
cana-4932	201	24	variables	variable	NOUN
cana-4932	201	25	{	{	PUNCT
cana-4932	201	26	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	201	27	}	}	PUNCT
cana-4932	201	28	that	that	PRON
cana-4932	201	29	satisfy	satisfy	VERB
cana-4932	201	30	convexity	convexity	NOUN
cana-4932	201	31	conditions	condition	NOUN
cana-4932	201	32	;	;	PUNCT
cana-4932	201	33	all	all	DET
cana-4932	201	34	constraints	constraint	NOUN
cana-4932	201	35	of	of	ADP
cana-4932	201	36	the	the	DET
cana-4932	201	37	problem	problem	NOUN
cana-4932	201	38	are	be	AUX
cana-4932	201	39	linear	linear	ADJ
cana-4932	201	40	and	and	CCONJ
cana-4932	201	41	convex	convex	PROPN
cana-4932	201	42	.	.	PUNCT
cana-4932	202	1	the	the	DET
cana-4932	202	2	subscription	subscription	NOUN
cana-4932	202	3	of	of	ADP
cana-4932	202	4	four	four	NUM
cana-4932	202	5	𝑷𝟏problem	𝑷𝟏problem	NOUN
cana-4932	202	6	constraints	constraint	NOUN
cana-4932	202	7	forms	form	VERB
cana-4932	202	8	a	a	DET
cana-4932	202	9	convex	convex	ADJ
cana-4932	202	10	feasible	feasible	ADJ
cana-4932	202	11	set	set	NOUN
cana-4932	202	12	,	,	PUNCT
cana-4932	202	13	hence	hence	ADV
cana-4932	202	14	for	for	ADP
cana-4932	202	15	a	a	DET
cana-4932	202	16	problem	problem	NOUN
cana-4932	202	17	to	to	PART
cana-4932	202	18	be	be	AUX
cana-4932	202	19	convex	convex	ADJ
cana-4932	202	20	with	with	ADP
cana-4932	202	21	linear	linear	ADJ
cana-4932	202	22	constraints	constraint	NOUN
cana-4932	202	23	,	,	PUNCT
cana-4932	202	24	the	the	DET
cana-4932	202	25	objective	objective	ADJ
cana-4932	202	26	function	function	NOUN
cana-4932	202	27	must	must	AUX
cana-4932	202	28	be	be	AUX
cana-4932	202	29	convex	convex	ADJ
cana-4932	202	30	.	.	PUNCT
cana-4932	203	1	therefore	therefore	ADV
cana-4932	203	2	,	,	PUNCT
cana-4932	203	3	by	by	ADP
cana-4932	203	4	simplifications	simplification	NOUN
cana-4932	203	5	and	and	CCONJ
cana-4932	203	6	utilizing	utilize	VERB
cana-4932	203	7	several	several	ADJ
cana-4932	203	8	lemmas	lemma	NOUN
cana-4932	203	9	,	,	PUNCT
cana-4932	203	10	a	a	DET
cana-4932	203	11	convex	convex	NOUN
cana-4932	203	12	optimization	optimization	NOUN
cana-4932	203	13	problem	problem	NOUN
cana-4932	203	14	can	can	AUX
cana-4932	203	15	be	be	AUX
cana-4932	203	16	transformed	transform	VERB
cana-4932	203	17	into	into	ADP
cana-4932	203	18	one	one	NUM
cana-4932	203	19	,	,	PUNCT
cana-4932	203	20	and	and	CCONJ
cana-4932	203	21	ultimately	ultimately	ADV
cana-4932	203	22	,	,	PUNCT
cana-4932	203	23	its	its	PRON
cana-4932	203	24	decomposition	decomposition	NOUN
cana-4932	203	25	and	and	CCONJ
cana-4932	203	26	analysis	analysis	NOUN
cana-4932	203	27	are	be	AUX
cana-4932	203	28	conducted	conduct	VERB
cana-4932	203	29	in	in	ADP
cana-4932	203	30	matlab	matlab	PROPN
cana-4932	203	31	software	software	NOUN
cana-4932	203	32	using	use	VERB
cana-4932	203	33	the	the	DET
cana-4932	203	34	cvx	cvx	PROPN
cana-4932	203	35	toolbox	toolbox	NOUN
cana-4932	203	36	.	.	PUNCT
cana-4932	204	1	this	this	DET
cana-4932	204	2	toolbox	toolbox	NOUN
cana-4932	204	3	is	be	AUX
cana-4932	204	4	highly	highly	ADV
cana-4932	204	5	practical	practical	ADJ
cana-4932	204	6	and	and	CCONJ
cana-4932	204	7	important	important	ADJ
cana-4932	204	8	for	for	ADP
cana-4932	204	9	solving	solve	VERB
cana-4932	204	10	complex	complex	ADJ
cana-4932	204	11	convex	convex	NOUN
cana-4932	204	12	optimization	optimization	NOUN
cana-4932	204	13	problems	problem	NOUN
cana-4932	204	14	effectively	effectively	ADV
cana-4932	204	15	.	.	PUNCT
cana-4932	205	1	it	it	PRON
cana-4932	205	2	is	be	AUX
cana-4932	205	3	essential	essential	ADJ
cana-4932	205	4	to	to	PART
cana-4932	205	5	note	note	VERB
cana-4932	205	6	that	that	SCONJ
cana-4932	205	7	before	before	ADP
cana-4932	205	8	using	use	VERB
cana-4932	205	9	the	the	DET
cana-4932	205	10	cvx	cvx	PROPN
cana-4932	205	11	toolbox	toolbox	NOUN
cana-4932	205	12	,	,	PUNCT
cana-4932	205	13	the	the	DET
cana-4932	205	14	problem	problem	NOUN
cana-4932	205	15	must	must	AUX
cana-4932	205	16	be	be	AUX
cana-4932	205	17	transformed	transform	VERB
cana-4932	205	18	into	into	ADP
cana-4932	205	19	a	a	DET
cana-4932	205	20	standard	standard	ADJ
cana-4932	205	21	disciplined	discipline	VERB
cana-4932	205	22	convex	convex	NOUN
cana-4932	205	23	programming	programming	NOUN
cana-4932	205	24	in	in	ADP
cana-4932	205	25	order	order	NOUN
cana-4932	205	26	to	to	PART
cana-4932	205	27	be	be	AUX
cana-4932	205	28	definable	definable	ADJ
cana-4932	205	29	for	for	ADP
cana-4932	205	30	this	this	DET
cana-4932	205	31	toolbox	toolbox	NOUN
cana-4932	205	32	.	.	PUNCT
cana-4932	206	1	according	accord	VERB
cana-4932	206	2	to	to	ADP
cana-4932	206	3	interpretations	interpretation	NOUN
cana-4932	206	4	,	,	PUNCT
cana-4932	206	5	we	we	PRON
cana-4932	206	6	need	need	VERB
cana-4932	206	7	to	to	PART
cana-4932	206	8	address	address	VERB
cana-4932	206	9	the	the	DET
cana-4932	206	10	simplification	simplification	NOUN
cana-4932	206	11	of	of	ADP
cana-4932	206	12	the	the	DET
cana-4932	206	13	optimization	optimization	NOUN
cana-4932	206	14	problem	problem	NOUN
cana-4932	206	15	𝑷𝟐	𝑷𝟐	PROPN
cana-4932	206	16	;	;	PUNCT
cana-4932	206	17	to	to	ADP
cana-4932	206	18	this	this	DET
cana-4932	206	19	end	end	NOUN
cana-4932	206	20	,	,	PUNCT
cana-4932	206	21	we	we	PRON
cana-4932	206	22	first	first	ADV
cana-4932	206	23	introduce	introduce	VERB
cana-4932	206	24	the	the	DET
cana-4932	206	25	following	follow	VERB
cana-4932	206	26	lemma	lemma	PROPN
cana-4932	206	27	.	.	PUNCT
cana-4932	207	1	communications	communication	NOUN
cana-4932	207	2	on	on	ADP
cana-4932	207	3	applied	apply	VERB
cana-4932	207	4	nonlinear	nonlinear	ADJ
cana-4932	207	5	analysis	analysis	NOUN
cana-4932	207	6	issn	issn	NOUN
cana-4932	207	7	:	:	PUNCT
cana-4932	207	8	1074	1074	NUM
cana-4932	207	9	-	-	PUNCT
cana-4932	207	10	133x	133x	NUM
cana-4932	207	11	vol	vol	VERB
cana-4932	207	12	32	32	NUM
cana-4932	207	13	no	no	NOUN
cana-4932	207	14	.	.	PUNCT
cana-4932	208	1	10s	10	NOUN
cana-4932	208	2	(	(	PUNCT
cana-4932	208	3	2025	2025	NUM
cana-4932	208	4	)	)	PUNCT
cana-4932	208	5	986	986	NUM
cana-4932	208	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	208	7	lemma	lemma	PROPN
cana-4932	208	8	1	1	NUM
cana-4932	208	9	:	:	PUNCT
cana-4932	208	10	considering	consider	VERB
cana-4932	208	11	the	the	DET
cana-4932	208	12	sherman	sherman	PROPN
cana-4932	208	13	-	-	PUNCT
cana-4932	208	14	morrison	morrison	PROPN
cana-4932	208	15	-	-	PUNCT
cana-4932	208	16	woodbury	woodbury	PROPN
cana-4932	208	17	matrix	matrix	NOUN
cana-4932	208	18	relation	relation	NOUN
cana-4932	208	19	[	[	X
cana-4932	208	20	60	60	NUM
cana-4932	208	21	]	]	X
cana-4932	208	22	:	:	PUNCT
cana-4932	208	23	(	(	PUNCT
cana-4932	208	24	𝐀	𝐀	NOUN
cana-4932	208	25	+	+	CCONJ
cana-4932	208	26	𝐁𝐂𝐃)−1	𝐁𝐂𝐃)−1	NOUN
cana-4932	208	27	=	=	SYM
cana-4932	209	1	𝐀−1	𝐀−1	NUM
cana-4932	209	2	−	−	NOUN
cana-4932	210	1	𝐀−1𝐁(𝐈	𝐀−1𝐁(𝐈	NOUN
cana-4932	210	2	+	+	NUM
cana-4932	210	3	𝐂𝐃𝐀−𝟏𝐁	𝐂𝐃𝐀−𝟏𝐁	NUM
cana-4932	210	4	)	)	PUNCT
cana-4932	210	5	−𝟏𝐂𝐃𝐀−𝟏	−𝟏𝐂𝐃𝐀−𝟏	NOUN
cana-4932	210	6	(	(	PUNCT
cana-4932	210	7	14	14	NUM
cana-4932	210	8	-	-	SYM
cana-4932	210	9	3	3	NUM
cana-4932	210	10	)	)	PUNCT
cana-4932	210	11	given	give	VERB
cana-4932	210	12	the	the	DET
cana-4932	210	13	relationships	relationship	NOUN
cana-4932	210	14	(	(	PUNCT
cana-4932	210	15	3	3	NUM
cana-4932	210	16	-	-	SYM
cana-4932	210	17	9	9	NUM
cana-4932	210	18	)	)	PUNCT
cana-4932	210	19	and	and	CCONJ
cana-4932	210	20	(	(	PUNCT
cana-4932	210	21	3	3	NUM
cana-4932	210	22	-	-	SYM
cana-4932	210	23	10	10	NUM
cana-4932	210	24	)	)	PUNCT
cana-4932	210	25	,	,	PUNCT
cana-4932	210	26	we	we	PRON
cana-4932	210	27	have	have	VERB
cana-4932	210	28	the	the	DET
cana-4932	210	29	following	follow	VERB
cana-4932	210	30	equation	equation	NOUN
cana-4932	210	31	:	:	PUNCT
cana-4932	210	32	𝛾𝑔.𝑚	𝛾𝑔.𝑚	PROPN
cana-4932	211	1	=	=	PUNCT
cana-4932	211	2	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	NOUN
cana-4932	212	1	𝐻	𝐻	PROPN
cana-4932	212	2	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	212	3	2	2	NUM
cana-4932	212	4	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	212	5	=	=	NOUN
cana-4932	213	1	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	NOUN
cana-4932	214	1	𝐻	𝐻	PROPN
cana-4932	214	2	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	214	3	2	2	NUM
cana-4932	214	4	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	214	5	−1	−1	NOUN
cana-4932	214	6	(	(	PUNCT
cana-4932	214	7	15	15	NUM
cana-4932	214	8	-	-	SYM
cana-4932	214	9	3	3	NUM
cana-4932	214	10	)	)	PUNCT
cana-4932	214	11	based	base	VERB
cana-4932	214	12	on	on	ADP
cana-4932	214	13	relation	relation	NOUN
cana-4932	214	14	(	(	PUNCT
cana-4932	214	15	3	3	NUM
cana-4932	214	16	-	-	SYM
cana-4932	214	17	15	15	NUM
cana-4932	214	18	)	)	PUNCT
cana-4932	214	19	and	and	CCONJ
cana-4932	214	20	using	use	VERB
cana-4932	214	21	lemma	lemma	PROPN
cana-4932	214	22	1	1	NUM
cana-4932	214	23	,	,	PUNCT
cana-4932	214	24	the	the	DET
cana-4932	214	25	following	follow	VERB
cana-4932	214	26	relation	relation	NOUN
cana-4932	214	27	is	be	AUX
cana-4932	214	28	established	establish	VERB
cana-4932	214	29	:	:	PUNCT
cana-4932	214	30	(	(	PUNCT
cana-4932	214	31	1	1	NUM
cana-4932	214	32	+	+	NUM
cana-4932	214	33	𝛾𝑔.𝑚	𝛾𝑔.𝑚	NUM
cana-4932	214	34	)	)	PUNCT
cana-4932	214	35	−1	−1	NOUN
cana-4932	215	1	=	=	SYM
cana-4932	215	2	1	1	NUM
cana-4932	215	3	−	−	NOUN
cana-4932	215	4	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	NOUN
cana-4932	216	1	𝐻	𝐻	PROPN
cana-4932	216	2	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	216	3	2	2	NUM
cana-4932	216	4	(	(	PUNCT
cana-4932	216	5	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	NOUN
cana-4932	216	6	𝐻	𝐻	PROPN
cana-4932	216	7	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	216	8	2	2	NUM
cana-4932	216	9	+	+	NUM
cana-4932	216	10	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	216	11	)	)	PUNCT
cana-4932	216	12	−1	−1	NOUN
cana-4932	216	13	(	(	PUNCT
cana-4932	216	14	16	16	NUM
cana-4932	216	15	-	-	SYM
cana-4932	216	16	3	3	NUM
cana-4932	216	17	)	)	PUNCT
cana-4932	216	18	on	on	ADP
cana-4932	216	19	the	the	DET
cana-4932	216	20	other	other	ADJ
cana-4932	216	21	hand	hand	NOUN
cana-4932	216	22	,	,	PUNCT
cana-4932	216	23	for	for	ADP
cana-4932	216	24	the	the	DET
cana-4932	216	25	sake	sake	NOUN
cana-4932	216	26	of	of	ADP
cana-4932	216	27	simplicity	simplicity	NOUN
cana-4932	216	28	,	,	PUNCT
cana-4932	216	29	relation	relation	NOUN
cana-4932	216	30	(	(	PUNCT
cana-4932	216	31	3	3	NUM
cana-4932	216	32	-	-	SYM
cana-4932	216	33	17	17	NUM
cana-4932	216	34	)	)	PUNCT
cana-4932	216	35	can	can	AUX
cana-4932	216	36	be	be	AUX
cana-4932	216	37	rewritten	rewrite	VERB
cana-4932	216	38	as	as	SCONJ
cana-4932	216	39	follows	follow	VERB
cana-4932	216	40	:	:	PUNCT
cana-4932	216	41	�	�	PROPN
cana-4932	216	42	̃	̃	PROPN
cana-4932	216	43	�	�	NOUN
cana-4932	216	44	𝑔.𝑚−𝑆𝑈	𝑔.𝑚−𝑆𝑈	X
cana-4932	216	45	=	=	SYM
cana-4932	217	1	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	217	2	𝐻	𝐻	NOUN
cana-4932	217	3	𝒅𝒈√𝑝𝑔.𝑚𝑠𝑔.𝑚−𝑆𝑈	𝒅𝒈√𝑝𝑔.𝑚𝑠𝑔.𝑚−𝑆𝑈	NUM
cana-4932	217	4	+	+	CCONJ
cana-4932	217	5	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	217	6	𝐻	𝐻	NOUN
cana-4932	217	7	𝒅𝒈	𝒅𝒈	VERB
cana-4932	217	8	∑	∑	PUNCT
cana-4932	217	9	√𝑝𝑔.𝑗𝑠𝑔.𝑗	√𝑝𝑔.𝑗𝑠𝑔.𝑗	NOUN
cana-4932	217	10	𝑚−1	𝑚−1	PROPN
cana-4932	217	11	𝑗=1	𝑗=1	PROPN
cana-4932	217	12	(	(	PUNCT
cana-4932	217	13	17	17	NUM
cana-4932	217	14	-	-	SYM
cana-4932	217	15	3	3	NUM
cana-4932	217	16	)	)	PUNCT
cana-4932	218	1	+	+	NOUN
cana-4932	218	2	𝒉𝑠𝑢	𝒉𝑠𝑢	NOUN
cana-4932	218	3	𝐻	𝐻	NOUN
cana-4932	218	4	∑∑𝒅𝒈√𝑝𝑔.𝑗𝑠𝑔.𝑗	∑∑𝒅𝒈√𝑝𝑔.𝑗𝑠𝑔.𝑗	VERB
cana-4932	218	5	+	+	CCONJ
cana-4932	218	6	𝑁𝑖	𝑁𝑖	PROPN
cana-4932	218	7	𝑗=1	𝑗=1	PROPN
cana-4932	218	8	𝐺	𝐺	NOUN
cana-4932	218	9	𝑖=1	𝑖=1	PUNCT
cana-4932	218	10	𝑖≠𝑔	𝑖≠𝑔	PUNCT
cana-4932	218	11	𝑣𝑔.𝑚	𝑣𝑔.𝑚	NOUN
cana-4932	218	12	if	if	SCONJ
cana-4932	218	13	the	the	DET
cana-4932	218	14	minimum	minimum	ADJ
cana-4932	218	15	mean	mean	NOUN
cana-4932	218	16	square	square	NOUN
cana-4932	218	17	error	error	NOUN
cana-4932	218	18	(	(	PUNCT
cana-4932	218	19	mmse	mmse	ADJ
cana-4932	218	20	)	)	PUNCT
cana-4932	218	21	method	method	NOUN
cana-4932	218	22	is	be	AUX
cana-4932	218	23	employed	employ	VERB
cana-4932	218	24	by	by	ADP
cana-4932	218	25	user	user	NOUN
cana-4932	218	26	m	m	PROPN
cana-4932	218	27	's	's	PART
cana-4932	218	28	receiver	receiver	NOUN
cana-4932	218	29	in	in	ADP
cana-4932	218	30	cluster	cluster	NOUN
cana-4932	218	31	g	g	NOUN
cana-4932	218	32	for	for	ADP
cana-4932	218	33	detecting	detect	VERB
cana-4932	218	34	the	the	DET
cana-4932	218	35	desired	desire	VERB
cana-4932	218	36	signal	signal	NOUN
cana-4932	218	37	𝑠𝑔.𝑚	𝑠𝑔.𝑚	ADJ
cana-4932	218	38	,	,	PUNCT
cana-4932	218	39	which	which	PRON
cana-4932	218	40	corresponds	correspond	VERB
cana-4932	218	41	to	to	ADP
cana-4932	218	42	user	user	NOUN
cana-4932	218	43	m	m	VERB
cana-4932	218	44	in	in	ADP
cana-4932	218	45	cluster	cluster	NOUN
cana-4932	218	46	g	g	NOUN
cana-4932	218	47	,	,	PUNCT
cana-4932	218	48	then	then	ADV
cana-4932	218	49	the	the	DET
cana-4932	218	50	mean	mean	ADJ
cana-4932	218	51	squared	square	VERB
cana-4932	218	52	error	error	NOUN
cana-4932	218	53	is	be	AUX
cana-4932	218	54	defined	define	VERB
cana-4932	218	55	as	as	SCONJ
cana-4932	218	56	follows	follow	VERB
cana-4932	218	57	:	:	PUNCT
cana-4932	218	58	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	218	59	=	=	PUNCT
cana-4932	218	60	𝐸{|𝑠𝑔.𝑚	𝐸{|𝑠𝑔.𝑚	AUX
cana-4932	218	61	−	−	ADP
cana-4932	218	62	𝑐𝑔.𝑚	𝑐𝑔.𝑚	PROPN
cana-4932	218	63	�	�	PROPN
cana-4932	218	64	̃	̃	NOUN
cana-4932	218	65	�	�	NOUN
cana-4932	218	66	𝑔.𝑚|	𝑔.𝑚|	NOUN
cana-4932	218	67	2	2	NUM
cana-4932	218	68	}	}	PUNCT
cana-4932	218	69	(	(	PUNCT
cana-4932	218	70	18	18	NUM
cana-4932	218	71	-	-	SYM
cana-4932	218	72	3	3	NUM
cana-4932	218	73	)	)	PUNCT
cana-4932	218	74	𝑐𝑔.𝑚is	𝑐𝑔.𝑚is	PROPN
cana-4932	218	75	the	the	DET
cana-4932	218	76	channel	channel	NOUN
cana-4932	218	77	equalization	equalization	NOUN
cana-4932	218	78	coefficient	coefficient	NOUN
cana-4932	218	79	in	in	ADP
cana-4932	218	80	equation	equation	NOUN
cana-4932	218	81	(	(	PUNCT
cana-4932	218	82	3	3	NUM
cana-4932	218	83	-	-	SYM
cana-4932	218	84	18	18	NUM
cana-4932	218	85	)	)	PUNCT
cana-4932	218	86	,	,	PUNCT
cana-4932	218	87	and	and	CCONJ
cana-4932	218	88	its	its	PRON
cana-4932	218	89	optimal	optimal	ADJ
cana-4932	218	90	value	value	NOUN
cana-4932	218	91	is	be	AUX
cana-4932	218	92	calculated	calculate	VERB
cana-4932	218	93	as	as	SCONJ
cana-4932	218	94	follows	follow	VERB
cana-4932	218	95	:	:	PUNCT
cana-4932	218	96	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	218	97	𝑜𝑝𝑡	𝑜𝑝𝑡	NOUN
cana-4932	218	98	=	=	PUNCT
cana-4932	218	99	𝑎𝑟𝑔min	𝑎𝑟𝑔min	NOUN
cana-4932	218	100	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	218	101	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	218	102	(	(	PUNCT
cana-4932	218	103	19	19	NUM
cana-4932	218	104	-	-	SYM
cana-4932	218	105	3	3	NUM
cana-4932	218	106	)	)	PUNCT
cana-4932	218	107	by	by	ADP
cana-4932	218	108	substituting	substitute	VERB
cana-4932	218	109	equation	equation	NOUN
cana-4932	218	110	(	(	PUNCT
cana-4932	218	111	3	3	NUM
cana-4932	218	112	-	-	SYM
cana-4932	218	113	17	17	NUM
cana-4932	218	114	)	)	PUNCT
cana-4932	218	115	into	into	ADP
cana-4932	218	116	equation	equation	NOUN
cana-4932	218	117	(	(	PUNCT
cana-4932	218	118	3	3	NUM
cana-4932	218	119	-	-	SYM
cana-4932	218	120	18	18	NUM
cana-4932	218	121	)	)	PUNCT
cana-4932	218	122	,	,	PUNCT
cana-4932	218	123	we	we	PRON
cana-4932	218	124	will	will	AUX
cana-4932	218	125	have	have	VERB
cana-4932	218	126	:	:	PUNCT
cana-4932	218	127	𝑒𝑔.𝑚	𝑒𝑔.𝑚	VERB
cana-4932	218	128	=	=	PUNCT
cana-4932	219	1	1	1	NUM
cana-4932	219	2	−	−	NOUN
cana-4932	219	3	2𝑅𝑒{𝑐𝑔.𝑚√𝑝𝑔.𝑚𝒉𝑔.𝑚	2𝑅𝑒{𝑐𝑔.𝑚√𝑝𝑔.𝑚𝒉𝑔.𝑚	NUM
cana-4932	219	4	𝐻	𝐻	NOUN
cana-4932	219	5	𝒅𝒈	𝒅𝒈	ADP
cana-4932	219	6	}	}	PUNCT
cana-4932	219	7	+	+	NUM
cana-4932	219	8	|𝑐𝑔.𝑚|	|𝑐𝑔.𝑚|	NOUN
cana-4932	219	9	2	2	NUM
cana-4932	219	10	(	(	PUNCT
cana-4932	219	11	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	NOUN
cana-4932	219	12	𝐻	𝐻	PROPN
cana-4932	219	13	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	219	14	2	2	NUM
cana-4932	219	15	+	+	NUM
cana-4932	219	16	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	219	17	)	)	PUNCT
cana-4932	219	18	(	(	PUNCT
cana-4932	219	19	20	20	NUM
cana-4932	219	20	-	-	SYM
cana-4932	219	21	3	3	NUM
cana-4932	219	22	)	)	PUNCT
cana-4932	219	23	based	base	VERB
cana-4932	219	24	on	on	ADP
cana-4932	219	25	the	the	DET
cana-4932	219	26	principles	principle	NOUN
cana-4932	219	27	of	of	ADP
cana-4932	219	28	optimization	optimization	NOUN
cana-4932	219	29	,	,	PUNCT
cana-4932	219	30	in	in	ADP
cana-4932	219	31	order	order	NOUN
cana-4932	219	32	to	to	PART
cana-4932	219	33	minimize	minimize	VERB
cana-4932	219	34	the	the	DET
cana-4932	219	35	objective	objective	ADJ
cana-4932	219	36	function	function	NOUN
cana-4932	219	37	with	with	ADP
cana-4932	219	38	respect	respect	NOUN
cana-4932	219	39	to	to	ADP
cana-4932	219	40	the	the	DET
cana-4932	219	41	optimal	optimal	ADJ
cana-4932	219	42	unknown	unknown	ADJ
cana-4932	219	43	variable	variable	ADJ
cana-4932	219	44	optimization	optimization	NOUN
cana-4932	219	45	,	,	PUNCT
cana-4932	219	46	we	we	PRON
cana-4932	219	47	must	must	AUX
cana-4932	219	48	take	take	VERB
cana-4932	219	49	the	the	DET
cana-4932	219	50	partial	partial	ADJ
cana-4932	219	51	derivative	derivative	NOUN
cana-4932	219	52	of	of	ADP
cana-4932	219	53	the	the	DET
cana-4932	219	54	objective	objective	ADJ
cana-4932	219	55	function	function	NOUN
cana-4932	219	56	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	219	57	with	with	ADP
cana-4932	219	58	respect	respect	NOUN
cana-4932	219	59	to	to	ADP
cana-4932	219	60	the	the	DET
cana-4932	219	61	unknown	unknown	ADJ
cana-4932	219	62	variable	variable	NOUN
cana-4932	219	63	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	219	64	,	,	PUNCT
cana-4932	219	65	and	and	CCONJ
cana-4932	219	66	set	set	VERB
cana-4932	219	67	the	the	DET
cana-4932	219	68	resulting	result	VERB
cana-4932	219	69	partial	partial	ADJ
cana-4932	219	70	derivative	derivative	NOUN
cana-4932	219	71	equal	equal	ADJ
cana-4932	219	72	to	to	ADP
cana-4932	219	73	zero	zero	NUM
cana-4932	219	74	to	to	PART
cana-4932	219	75	find	find	VERB
cana-4932	219	76	the	the	DET
cana-4932	219	77	optimal	optimal	ADJ
cana-4932	219	78	value	value	NOUN
cana-4932	219	79	of	of	ADP
cana-4932	219	80	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	219	81	that	that	PRON
cana-4932	219	82	minimizes	minimize	VERB
cana-4932	219	83	the	the	DET
cana-4932	219	84	objective	objective	ADJ
cana-4932	219	85	function	function	NOUN
cana-4932	219	86	.	.	PUNCT
cana-4932	220	1	after	after	ADP
cana-4932	220	2	this	this	DET
cana-4932	220	3	step	step	NOUN
cana-4932	220	4	,	,	PUNCT
cana-4932	220	5	according	accord	VERB
cana-4932	220	6	to	to	ADP
cana-4932	220	7	equations	equation	NOUN
cana-4932	220	8	(	(	PUNCT
cana-4932	220	9	3	3	NUM
cana-4932	220	10	-	-	SYM
cana-4932	220	11	19	19	NUM
cana-4932	220	12	)	)	PUNCT
cana-4932	220	13	and	and	CCONJ
cana-4932	220	14	(	(	PUNCT
cana-4932	220	15	3	3	NUM
cana-4932	220	16	-	-	SYM
cana-4932	220	17	20	20	NUM
cana-4932	220	18	)	)	PUNCT
cana-4932	220	19	,	,	PUNCT
cana-4932	220	20	the	the	DET
cana-4932	220	21	optimal	optimal	ADJ
cana-4932	220	22	value	value	NOUN
cana-4932	220	23	of	of	ADP
cana-4932	220	24	the	the	DET
cana-4932	220	25	channel	channel	NOUN
cana-4932	220	26	equalization	equalization	NOUN
cana-4932	220	27	coefficient	coefficient	NOUN
cana-4932	220	28	will	will	AUX
cana-4932	220	29	be	be	AUX
cana-4932	220	30	obtained	obtain	VERB
cana-4932	220	31	as	as	ADP
cana-4932	220	32	follows	follow	VERB
cana-4932	220	33	:	:	PUNCT
cana-4932	220	34	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	220	35	𝑜𝑝𝑡	𝑜𝑝𝑡	NOUN
cana-4932	221	1	=	=	PUNCT
cana-4932	221	2	(	(	PUNCT
cana-4932	221	3	√𝑝𝑔.𝑚𝒉𝑔.𝑚	√𝑝𝑔.𝑚𝒉𝑔.𝑚	NOUN
cana-4932	221	4	𝐻	𝐻	NOUN
cana-4932	221	5	𝒅𝒈)(𝑝𝑔.𝑚‖𝒉𝑔.𝑚	𝒅𝒈)(𝑝𝑔.𝑚‖𝒉𝑔.𝑚	NOUN
cana-4932	221	6	𝐻	𝐻	PROPN
cana-4932	221	7	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	221	8	2	2	NUM
cana-4932	221	9	+	+	NUM
cana-4932	221	10	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	221	11	)	)	PUNCT
cana-4932	221	12	−1	−1	NOUN
cana-4932	221	13	(	(	PUNCT
cana-4932	221	14	21	21	NUM
cana-4932	221	15	-	-	SYM
cana-4932	221	16	3	3	NUM
cana-4932	221	17	)	)	PUNCT
cana-4932	221	18	then	then	ADV
cana-4932	221	19	by	by	ADP
cana-4932	221	20	substituting	substitute	VERB
cana-4932	221	21	equation	equation	NOUN
cana-4932	221	22	(	(	PUNCT
cana-4932	221	23	3	3	NUM
cana-4932	221	24	-	-	SYM
cana-4932	221	25	21	21	NUM
cana-4932	221	26	)	)	PUNCT
cana-4932	221	27	into	into	ADP
cana-4932	221	28	equation	equation	NOUN
cana-4932	221	29	(	(	PUNCT
cana-4932	221	30	3	3	NUM
cana-4932	221	31	-	-	SYM
cana-4932	221	32	20	20	NUM
cana-4932	221	33	)	)	PUNCT
cana-4932	221	34	,	,	PUNCT
cana-4932	221	35	the	the	DET
cana-4932	221	36	optimal	optimal	ADJ
cana-4932	221	37	value	value	NOUN
cana-4932	221	38	of	of	ADP
cana-4932	221	39	the	the	DET
cana-4932	221	40	least	least	ADJ
cana-4932	221	41	squares	square	NOUN
cana-4932	221	42	mean	mean	VERB
cana-4932	221	43	error	error	NOUN
cana-4932	221	44	is	be	AUX
cana-4932	221	45	calculated	calculate	VERB
cana-4932	221	46	as	as	SCONJ
cana-4932	221	47	follows	follow	VERB
cana-4932	221	48	:	:	PUNCT
cana-4932	221	49	communications	communication	NOUN
cana-4932	221	50	on	on	ADP
cana-4932	221	51	applied	apply	VERB
cana-4932	221	52	nonlinear	nonlinear	ADJ
cana-4932	221	53	analysis	analysis	NOUN
cana-4932	221	54	issn	issn	NOUN
cana-4932	221	55	:	:	PUNCT
cana-4932	221	56	1074	1074	NUM
cana-4932	221	57	-	-	PUNCT
cana-4932	221	58	133x	133x	NUM
cana-4932	221	59	vol	vol	VERB
cana-4932	221	60	32	32	NUM
cana-4932	221	61	no	no	NOUN
cana-4932	221	62	.	.	PUNCT
cana-4932	222	1	10s	10	NOUN
cana-4932	222	2	(	(	PUNCT
cana-4932	222	3	2025	2025	NUM
cana-4932	222	4	)	)	PUNCT
cana-4932	222	5	987	987	NUM
cana-4932	222	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	222	7	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	222	8	𝑜𝑝𝑡	𝑜𝑝𝑡	NOUN
cana-4932	222	9	=	=	SYM
cana-4932	222	10	1	1	NUM
cana-4932	222	11	−	−	NOUN
cana-4932	222	12	(	(	PUNCT
cana-4932	222	13	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	NOUN
cana-4932	222	14	𝐻	𝐻	PROPN
cana-4932	222	15	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	222	16	2	2	NUM
cana-4932	222	17	)	)	PUNCT
cana-4932	222	18	(	(	PUNCT
cana-4932	222	19	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	𝑝𝑔.𝑚‖𝒉𝑔.𝑚	NOUN
cana-4932	223	1	𝐻	𝐻	PROPN
cana-4932	223	2	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	223	3	2	2	NUM
cana-4932	223	4	+	+	NUM
cana-4932	223	5	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	223	6	)	)	PUNCT
cana-4932	223	7	−1	−1	NOUN
cana-4932	223	8	(	(	PUNCT
cana-4932	223	9	22	22	NUM
cana-4932	223	10	-	-	SYM
cana-4932	223	11	3	3	NUM
cana-4932	223	12	)	)	PUNCT
cana-4932	223	13	where	where	SCONJ
cana-4932	223	14	equation	equation	NOUN
cana-4932	223	15	(	(	PUNCT
cana-4932	223	16	3	3	NUM
cana-4932	223	17	-	-	SYM
cana-4932	223	18	21	21	NUM
cana-4932	223	19	)	)	PUNCT
cana-4932	223	20	is	be	AUX
cana-4932	223	21	equivalent	equivalent	ADJ
cana-4932	223	22	to	to	ADP
cana-4932	223	23	equation	equation	NOUN
cana-4932	223	24	(	(	PUNCT
cana-4932	223	25	3	3	NUM
cana-4932	223	26	-	-	SYM
cana-4932	223	27	16	16	NUM
cana-4932	223	28	)	)	PUNCT
cana-4932	223	29	,	,	PUNCT
cana-4932	223	30	therefore	therefore	ADV
cana-4932	223	31	we	we	PRON
cana-4932	223	32	have	have	VERB
cana-4932	223	33	:	:	PUNCT
cana-4932	223	34	(	(	PUNCT
cana-4932	223	35	1	1	NUM
cana-4932	223	36	+	+	NUM
cana-4932	223	37	𝛾𝑔.𝑚	𝛾𝑔.𝑚	NUM
cana-4932	223	38	)	)	PUNCT
cana-4932	223	39	−1	−1	NOUN
cana-4932	224	1	=	=	SYM
cana-4932	224	2	min	min	PROPN
cana-4932	224	3	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	224	4	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	224	5	(	(	PUNCT
cana-4932	224	6	23	23	NUM
cana-4932	224	7	-	-	SYM
cana-4932	224	8	3	3	NUM
cana-4932	224	9	)	)	PUNCT
cana-4932	224	10	after	after	ADP
cana-4932	224	11	substituting	substitute	VERB
cana-4932	224	12	equation	equation	NOUN
cana-4932	224	13	(	(	PUNCT
cana-4932	224	14	3	3	NUM
cana-4932	224	15	-	-	SYM
cana-4932	224	16	23	23	NUM
cana-4932	224	17	)	)	PUNCT
cana-4932	224	18	into	into	ADP
cana-4932	224	19	equation	equation	NOUN
cana-4932	224	20	(	(	PUNCT
cana-4932	224	21	3	3	NUM
cana-4932	224	22	-	-	SYM
cana-4932	224	23	11	11	NUM
cana-4932	224	24	)	)	PUNCT
cana-4932	224	25	assuming	assume	VERB
cana-4932	224	26	𝐵𝑊	𝐵𝑊	PROPN
cana-4932	224	27	=	=	SYM
cana-4932	224	28	1𝐻𝑧	1𝐻𝑧	NUM
cana-4932	224	29	,	,	PUNCT
cana-4932	224	30	equation	equation	NOUN
cana-4932	224	31	(	(	PUNCT
cana-4932	224	32	3	3	NUM
cana-4932	224	33	-	-	SYM
cana-4932	224	34	11	11	NUM
cana-4932	224	35	)	)	PUNCT
cana-4932	224	36	is	be	AUX
cana-4932	224	37	rewritten	rewrite	VERB
cana-4932	224	38	as	as	SCONJ
cana-4932	224	39	follows	follow	VERB
cana-4932	224	40	:	:	PUNCT
cana-4932	224	41	𝑅𝑔.𝑚	𝑅𝑔.𝑚	ADJ
cana-4932	224	42	=	=	SYM
cana-4932	224	43	𝑙𝑜𝑔2((1	𝑙𝑜𝑔2((1	INTJ
cana-4932	225	1	+	+	NUM
cana-4932	225	2	𝛾𝑔.𝑚	𝛾𝑔.𝑚	NUM
cana-4932	225	3	)	)	PUNCT
cana-4932	226	1	=	=	SYM
cana-4932	227	1	−𝑙𝑜𝑔2	−𝑙𝑜𝑔2	PROPN
cana-4932	227	2	(	(	PUNCT
cana-4932	227	3	min	min	PROPN
cana-4932	227	4	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	227	5	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	227	6	)	)	PUNCT
cana-4932	228	1	=	=	SYM
cana-4932	228	2	min	min	PROPN
cana-4932	228	3	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	228	4	(	(	PUNCT
cana-4932	228	5	−𝑙𝑜𝑔2𝑒𝑔.𝑚	−𝑙𝑜𝑔2𝑒𝑔.𝑚	NOUN
cana-4932	228	6	)	)	PUNCT
cana-4932	228	7	(	(	PUNCT
cana-4932	228	8	24	24	NUM
cana-4932	228	9	-	-	SYM
cana-4932	228	10	3	3	NUM
cana-4932	228	11	)	)	PUNCT
cana-4932	228	12	to	to	PART
cana-4932	228	13	simplify	simplify	VERB
cana-4932	228	14	equation	equation	NOUN
cana-4932	228	15	(	(	PUNCT
cana-4932	228	16	3	3	NUM
cana-4932	228	17	-	-	SYM
cana-4932	228	18	24	24	NUM
cana-4932	228	19	)	)	PUNCT
cana-4932	228	20	,	,	PUNCT
cana-4932	228	21	we	we	PRON
cana-4932	228	22	introduce	introduce	VERB
cana-4932	228	23	a	a	DET
cana-4932	228	24	new	new	ADJ
cana-4932	228	25	lemma	lemma	PROPN
cana-4932	228	26	.	.	PUNCT
cana-4932	229	1	lemma	lemma	PROPN
cana-4932	229	2	2	2	NUM
cana-4932	229	3	:	:	PUNCT
cana-4932	229	4	we	we	PRON
cana-4932	229	5	consider	consider	VERB
cana-4932	229	6	the	the	DET
cana-4932	229	7	following	follow	VERB
cana-4932	229	8	assumption	assumption	NOUN
cana-4932	229	9	[	[	X
cana-4932	229	10	61	61	NUM
cana-4932	229	11	]	]	SYM
cana-4932	229	12	:	:	PUNCT
cana-4932	229	13	𝑓(𝑎	𝑓(𝑎	ADJ
cana-4932	229	14	)	)	PUNCT
cana-4932	229	15	−	−	NOUN
cana-4932	229	16	𝑎𝑏	𝑎𝑏	NOUN
cana-4932	229	17	𝑙𝑛2	𝑙𝑛2	PROPN
cana-4932	229	18	+	+	CCONJ
cana-4932	229	19	𝑙𝑜𝑔2(𝑎	𝑙𝑜𝑔2(𝑎	NUM
cana-4932	229	20	)	)	PUNCT
cana-4932	229	21	+	+	CCONJ
cana-4932	229	22	1	1	NUM
cana-4932	229	23	𝑙𝑛2	𝑙𝑛2	NOUN
cana-4932	229	24	(	(	PUNCT
cana-4932	229	25	25	25	NUM
cana-4932	229	26	-	-	SYM
cana-4932	229	27	3	3	NUM
cana-4932	229	28	)	)	PUNCT
cana-4932	229	29	if	if	SCONJ
cana-4932	229	30	the	the	DET
cana-4932	229	31	optimal	optimal	ADJ
cana-4932	229	32	value	value	NOUN
cana-4932	229	33	of	of	ADP
cana-4932	229	34	𝑎	𝑎	NOUN
cana-4932	229	35	is	be	AUX
cana-4932	229	36	in	in	ADP
cana-4932	229	37	the	the	DET
cana-4932	229	38	form	form	NOUN
cana-4932	229	39	of	of	ADP
cana-4932	229	40	𝑎𝑜𝑝𝑡	𝑎𝑜𝑝𝑡	ADJ
cana-4932	229	41	=	=	SYM
cana-4932	229	42	1	1	NUM
cana-4932	229	43	𝑏	𝑏	NOUN
cana-4932	229	44	,	,	PUNCT
cana-4932	229	45	then	then	ADV
cana-4932	229	46	for	for	ADP
cana-4932	229	47	𝑎	𝑎	PROPN
cana-4932	229	48	>	>	SYM
cana-4932	229	49	0	0	NUM
cana-4932	229	50	,	,	PUNCT
cana-4932	229	51	the	the	DET
cana-4932	229	52	following	follow	VERB
cana-4932	229	53	relationship	relationship	NOUN
cana-4932	229	54	holds	hold	VERB
cana-4932	229	55	true	true	ADJ
cana-4932	229	56	:	:	PUNCT
cana-4932	229	57	𝑚𝑎𝑥	𝑚𝑎𝑥	NUM
cana-4932	229	58	𝑎	𝑎	DET
cana-4932	229	59	𝑓(𝑎	𝑓(𝑎	NOUN
cana-4932	229	60	)	)	PUNCT
cana-4932	229	61	=	=	SYM
cana-4932	229	62	−	−	NOUN
cana-4932	229	63	𝑙𝑜𝑔2(𝑎𝑏	𝑙𝑜𝑔2(𝑎𝑏	PROPN
cana-4932	229	64	)	)	PUNCT
cana-4932	229	65	(	(	PUNCT
cana-4932	229	66	26	26	NUM
cana-4932	229	67	-	-	SYM
cana-4932	229	68	3	3	NUM
cana-4932	229	69	)	)	PUNCT
cana-4932	229	70	based	base	VERB
cana-4932	229	71	on	on	ADP
cana-4932	229	72	lemma	lemma	PROPN
cana-4932	229	73	2	2	NUM
cana-4932	229	74	,	,	PUNCT
cana-4932	229	75	equation	equation	NOUN
cana-4932	229	76	(	(	PUNCT
cana-4932	229	77	3	3	NUM
cana-4932	229	78	-	-	SYM
cana-4932	229	79	24	24	NUM
cana-4932	229	80	)	)	PUNCT
cana-4932	229	81	is	be	AUX
cana-4932	229	82	rewritten	rewrite	VERB
cana-4932	229	83	as	as	SCONJ
cana-4932	229	84	follows	follow	VERB
cana-4932	229	85	:	:	PUNCT
cana-4932	229	86	𝑅𝑔.𝑚	𝑅𝑔.𝑚	ADJ
cana-4932	229	87	=	=	PUNCT
cana-4932	229	88	𝑚𝑎𝑥	𝑚𝑎𝑥	ADJ
cana-4932	229	89	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	229	90	𝑚𝑎𝑥	𝑚𝑎𝑥	PRON
cana-4932	229	91	𝑐𝑔.𝑚>0	𝑐𝑔.𝑚>0	ADP
cana-4932	229	92	(	(	PUNCT
cana-4932	230	1	−	−	ADP
cana-4932	230	2	𝑎𝑔.𝑚𝑒𝑔.𝑚	𝑎𝑔.𝑚𝑒𝑔.𝑚	NOUN
cana-4932	230	3	𝑙𝑛2	𝑙𝑛2	NOUN
cana-4932	231	1	+	+	CCONJ
cana-4932	231	2	𝑙𝑜𝑔2(𝑎𝑔.𝑚	𝑙𝑜𝑔2(𝑎𝑔.𝑚	ADJ
cana-4932	231	3	)	)	PUNCT
cana-4932	232	1	+	+	CCONJ
cana-4932	232	2	1	1	NUM
cana-4932	232	3	𝑙𝑛2	𝑙𝑛2	NOUN
cana-4932	232	4	(	(	PUNCT
cana-4932	232	5	27	27	NUM
cana-4932	232	6	-	-	SYM
cana-4932	232	7	3	3	NUM
cana-4932	232	8	)	)	PUNCT
cana-4932	232	9	where	where	SCONJ
cana-4932	232	10	𝑎𝑔.𝑚in	𝑎𝑔.𝑚in	ADJ
cana-4932	232	11	equation	equation	NOUN
cana-4932	232	12	(	(	PUNCT
cana-4932	232	13	3	3	NUM
cana-4932	232	14	-	-	SYM
cana-4932	232	15	27	27	NUM
cana-4932	232	16	)	)	PUNCT
cana-4932	232	17	is	be	AUX
cana-4932	232	18	calculated	calculate	VERB
cana-4932	232	19	as	as	SCONJ
cana-4932	232	20	follows	follow	VERB
cana-4932	232	21	:	:	PUNCT
cana-4932	232	22	𝑎𝑔.𝑚	𝑎𝑔.𝑚	NOUN
cana-4932	232	23	=	=	SYM
cana-4932	232	24	1	1	NUM
cana-4932	232	25	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	232	26	𝑜𝑝𝑡	𝑜𝑝𝑡	NOUN
cana-4932	232	27	=	=	SYM
cana-4932	232	28	1	1	NUM
cana-4932	232	29	1	1	NUM
cana-4932	232	30	−	−	PROPN
cana-4932	232	31	(	(	PUNCT
cana-4932	232	32	1	1	NUM
cana-4932	232	33	−	−	PROPN
cana-4932	232	34	(	(	PUNCT
cana-4932	232	35	𝑝𝑔.𝑚‖𝒉𝑔.𝑚𝐻	𝑝𝑔.𝑚‖𝒉𝑔.𝑚𝐻	DET
cana-4932	232	36	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	232	37	2	2	NUM
cana-4932	232	38	)	)	PUNCT
cana-4932	232	39	(	(	PUNCT
cana-4932	232	40	𝑝𝑔.𝑚‖𝒉𝑔.𝑚𝐻	𝑝𝑔.𝑚‖𝒉𝑔.𝑚𝐻	PROPN
cana-4932	232	41	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	232	42	2	2	NUM
cana-4932	232	43	+	+	NOUN
cana-4932	232	44	𝜉𝑔.𝑚)−1	𝜉𝑔.𝑚)−1	NUM
cana-4932	232	45	)	)	PUNCT
cana-4932	232	46	(	(	PUNCT
cana-4932	232	47	28	28	NUM
cana-4932	232	48	-	-	SYM
cana-4932	232	49	3	3	NUM
cana-4932	232	50	)	)	PUNCT
cana-4932	232	51	by	by	ADP
cana-4932	232	52	substituting	substitute	VERB
cana-4932	232	53	equation	equation	NOUN
cana-4932	232	54	(	(	PUNCT
cana-4932	232	55	3	3	NUM
cana-4932	232	56	-	-	SYM
cana-4932	232	57	27	27	NUM
cana-4932	232	58	)	)	PUNCT
cana-4932	232	59	into	into	ADP
cana-4932	232	60	the	the	DET
cana-4932	232	61	optimization	optimization	NOUN
cana-4932	232	62	problem	problem	NOUN
cana-4932	232	63	𝑷𝟐	𝑷𝟐	PROPN
cana-4932	232	64	,	,	PUNCT
cana-4932	232	65	since	since	SCONJ
cana-4932	232	66	the	the	DET
cana-4932	232	67	value	value	NOUN
cana-4932	232	68	1	1	NUM
cana-4932	232	69	𝑙𝑛2	𝑙𝑛2	NOUN
cana-4932	232	70	is	be	AUX
cana-4932	232	71	a	a	DET
cana-4932	232	72	constant	constant	ADJ
cana-4932	232	73	numerical	numerical	ADJ
cana-4932	232	74	value	value	NOUN
cana-4932	232	75	,	,	PUNCT
cana-4932	232	76	it	it	PRON
cana-4932	232	77	is	be	AUX
cana-4932	232	78	therefore	therefore	ADV
cana-4932	232	79	irrelevant	irrelevant	ADJ
cana-4932	232	80	in	in	ADP
cana-4932	232	81	the	the	DET
cana-4932	232	82	analysis	analysis	NOUN
cana-4932	232	83	of	of	ADP
cana-4932	232	84	the	the	DET
cana-4932	232	85	optimization	optimization	NOUN
cana-4932	232	86	problem	problem	NOUN
cana-4932	232	87	and	and	CCONJ
cana-4932	232	88	we	we	PRON
cana-4932	232	89	can	can	AUX
cana-4932	232	90	exclude	exclude	VERB
cana-4932	232	91	it	it	PRON
cana-4932	232	92	from	from	ADP
cana-4932	232	93	the	the	DET
cana-4932	232	94	objective	objective	ADJ
cana-4932	232	95	function	function	NOUN
cana-4932	232	96	argument	argument	NOUN
cana-4932	232	97	.	.	PUNCT
cana-4932	233	1	subsequently	subsequently	ADV
cana-4932	233	2	,	,	PUNCT
cana-4932	233	3	the	the	DET
cana-4932	233	4	optimization	optimization	NOUN
cana-4932	233	5	problem	problem	NOUN
cana-4932	233	6	𝑷𝟐	𝑷𝟐	PROPN
cana-4932	233	7	is	be	AUX
cana-4932	233	8	transformed	transform	VERB
cana-4932	233	9	into	into	ADP
cana-4932	233	10	a	a	DET
cana-4932	233	11	new	new	ADJ
cana-4932	233	12	optimization	optimization	NOUN
cana-4932	233	13	problem	problem	NOUN
cana-4932	233	14	𝑷𝟑	𝑷𝟑	NOUN
cana-4932	233	15	and	and	CCONJ
cana-4932	233	16	formulated	formulate	VERB
cana-4932	233	17	as	as	SCONJ
cana-4932	233	18	follows	follow	VERB
cana-4932	233	19	:	:	PUNCT
cana-4932	233	20	𝑷𝟑	𝑷𝟑	PROPN
cana-4932	233	21	:	:	PUNCT
cana-4932	233	22	{	{	PUNCT
cana-4932	233	23	max	max	PROPN
cana-4932	233	24	{	{	PUNCT
cana-4932	233	25	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	233	26	}	}	PUNCT
cana-4932	233	27	∑∑𝑚𝑎𝑥	∑∑𝑚𝑎𝑥	PROPN
cana-4932	233	28	𝑐𝑔.𝑚	𝑐𝑔.𝑚	VERB
cana-4932	233	29	𝑚𝑎𝑥	𝑚𝑎𝑥	PRON
cana-4932	233	30	𝑐𝑔.𝑚>0	𝑐𝑔.𝑚>0	PUNCT
cana-4932	233	31	(	(	PUNCT
cana-4932	233	32	−	−	ADP
cana-4932	233	33	𝑎𝑔.𝑚𝑒𝑔.𝑚	𝑎𝑔.𝑚𝑒𝑔.𝑚	NOUN
cana-4932	233	34	𝑙𝑛2	𝑙𝑛2	NOUN
cana-4932	234	1	+	+	CCONJ
cana-4932	234	2	𝑙𝑜𝑔2(𝑎𝑔.𝑚	𝑙𝑜𝑔2(𝑎𝑔.𝑚	PROPN
cana-4932	234	3	)	)	PUNCT
cana-4932	234	4	)	)	PUNCT
cana-4932	235	1	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	235	2	𝑚=1	𝑚=1	X
cana-4932	235	3	𝐺	𝐺	PROPN
cana-4932	235	4	𝑔=1	𝑔=1	NOUN
cana-4932	235	5	𝑺𝒖𝒔𝒃𝒋𝒆𝒄𝒕	𝑺𝒖𝒔𝒃𝒋𝒆𝒄𝒕	PROPN
cana-4932	235	6	𝒕𝒐.	𝒕𝒐.	NOUN
cana-4932	235	7	𝐶1	𝐶1	PROPN
cana-4932	235	8	(	(	PUNCT
cana-4932	235	9	𝑝3	𝑝3	ADV
cana-4932	235	10	):	):	PUNCT
cana-4932	235	11	𝑝𝑔.𝑚	𝑝𝑔.𝑚	PROPN
cana-4932	235	12	≥	≥	NOUN
cana-4932	235	13	0	0	NUM
cana-4932	235	14	.	.	PUNCT
cana-4932	236	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	236	2	𝐶2	𝐶2	INTJ
cana-4932	236	3	(	(	PUNCT
cana-4932	236	4	𝑝3):∑	𝑝3):∑	INTJ
cana-4932	236	5	∑	∑	PUNCT
cana-4932	236	6	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	237	1	≤	≤	ADJ
cana-4932	237	2	𝑃𝑚𝑎𝑥	𝑃𝑚𝑎𝑥	PROPN
cana-4932	238	1	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	238	2	𝑚=1	𝑚=1	X
cana-4932	238	3	𝐺	𝐺	PROPN
cana-4932	238	4	𝑔=1	𝑔=1	ADJ
cana-4932	238	5	𝐶3	𝐶3	NOUN
cana-4932	238	6	(	(	PUNCT
cana-4932	238	7	𝑝3	𝑝3	ADV
cana-4932	238	8	):	):	PUNCT
cana-4932	238	9	𝑝𝑔.𝑚+1	𝑝𝑔.𝑚+1	PROPN
cana-4932	238	10	≥	≥	NUM
cana-4932	238	11	𝛼	𝛼	PRON
cana-4932	238	12	×	×	NOUN
cana-4932	238	13	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	238	14	.	.	PUNCT
cana-4932	239	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	239	2	𝐶4	𝐶4	PROPN
cana-4932	239	3	(	(	PUNCT
cana-4932	239	4	𝑝3):∑[‖𝒉𝒑𝒖𝒅𝒈‖2	𝑝3):∑[‖𝒉𝒑𝒖𝒅𝒈‖2	VERB
cana-4932	239	5	2	2	NUM
cana-4932	239	6	∑	∑	ADP
cana-4932	239	7	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	239	8	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	239	9	𝑚=1	𝑚=1	X
cana-4932	239	10	]	]	PUNCT
cana-4932	239	11	≤	≤	NUM
cana-4932	239	12	𝐼𝑡ℎ	𝐼𝑡ℎ	PROPN
cana-4932	239	13	𝐺	𝐺	PROPN
cana-4932	239	14	𝑔=1	𝑔=1	NOUN
cana-4932	239	15	.	.	PUNCT
cana-4932	240	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	240	2	communications	communication	NOUN
cana-4932	240	3	on	on	ADP
cana-4932	240	4	applied	apply	VERB
cana-4932	240	5	nonlinear	nonlinear	ADJ
cana-4932	240	6	analysis	analysis	NOUN
cana-4932	240	7	issn	issn	NOUN
cana-4932	240	8	:	:	PUNCT
cana-4932	240	9	1074	1074	NUM
cana-4932	240	10	-	-	PUNCT
cana-4932	240	11	133x	133x	NUM
cana-4932	240	12	vol	vol	VERB
cana-4932	240	13	32	32	NUM
cana-4932	240	14	no	no	NOUN
cana-4932	240	15	.	.	PUNCT
cana-4932	241	1	10s	10	NOUN
cana-4932	241	2	(	(	PUNCT
cana-4932	241	3	2025	2025	NUM
cana-4932	241	4	)	)	PUNCT
cana-4932	241	5	988	988	NUM
cana-4932	241	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	241	7	based	base	VERB
cana-4932	241	8	on	on	ADP
cana-4932	241	9	the	the	DET
cana-4932	241	10	optimization	optimization	NOUN
cana-4932	241	11	problem	problem	NOUN
cana-4932	241	12	formulation	formulation	NOUN
cana-4932	241	13	𝑷𝟑	𝑷𝟑	PROPN
cana-4932	241	14	,	,	PUNCT
cana-4932	241	15	first	first	ADV
cana-4932	241	16	the	the	DET
cana-4932	241	17	problem	problem	NOUN
cana-4932	241	18	needs	need	VERB
cana-4932	241	19	to	to	PART
cana-4932	241	20	be	be	AUX
cana-4932	241	21	related	relate	VERB
cana-4932	241	22	to	to	ADP
cana-4932	241	23	the	the	DET
cana-4932	241	24	variables	variable	NOUN
cana-4932	241	25	{	{	PUNCT
cana-4932	241	26	𝑐𝑔.𝑚}and	𝑐𝑔.𝑚}and	X
cana-4932	241	27	{	{	PUNCT
cana-4932	241	28	𝑎𝑔.𝑚	𝑎𝑔.𝑚	NOUN
cana-4932	241	29	}	}	PUNCT
cana-4932	241	30	.	.	PUNCT
cana-4932	242	1	then	then	ADV
cana-4932	242	2	,	,	PUNCT
cana-4932	242	3	the	the	DET
cana-4932	242	4	problem	problem	NOUN
cana-4932	242	5	should	should	AUX
cana-4932	242	6	be	be	AUX
cana-4932	242	7	optimized	optimize	VERB
cana-4932	242	8	with	with	ADP
cana-4932	242	9	respect	respect	NOUN
cana-4932	242	10	to	to	ADP
cana-4932	242	11	the	the	DET
cana-4932	242	12	optimal	optimal	ADJ
cana-4932	242	13	values	value	NOUN
cana-4932	242	14	of	of	ADP
cana-4932	242	15	these	these	DET
cana-4932	242	16	variables	variable	NOUN
cana-4932	242	17	relative	relative	ADJ
cana-4932	242	18	to	to	ADP
cana-4932	242	19	the	the	DET
cana-4932	242	20	variable	variable	ADJ
cana-4932	242	21	{	{	PUNCT
cana-4932	242	22	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	242	23	}	}	PUNCT
cana-4932	242	24	,	,	PUNCT
cana-4932	242	25	while	while	SCONJ
cana-4932	242	26	according	accord	VERB
cana-4932	242	27	to	to	ADP
cana-4932	242	28	equations	equation	NOUN
cana-4932	242	29	(	(	PUNCT
cana-4932	242	30	21	21	NUM
cana-4932	242	31	-	-	SYM
cana-4932	242	32	3	3	NUM
cana-4932	242	33	)	)	PUNCT
cana-4932	242	34	and	and	CCONJ
cana-4932	242	35	(	(	PUNCT
cana-4932	242	36	3	3	NUM
cana-4932	242	37	-	-	SYM
cana-4932	242	38	28	28	NUM
cana-4932	242	39	)	)	PUNCT
cana-4932	242	40	,	,	PUNCT
cana-4932	242	41	both	both	DET
cana-4932	242	42	variables	variable	NOUN
cana-4932	242	43	{	{	PUNCT
cana-4932	242	44	𝑐𝑔.𝑚}and	𝑐𝑔.𝑚}and	X
cana-4932	242	45	{	{	PUNCT
cana-4932	242	46	𝑎𝑔.𝑚	𝑎𝑔.𝑚	NOUN
cana-4932	242	47	}	}	PUNCT
cana-4932	242	48	are	be	AUX
cana-4932	242	49	dependent	dependent	ADJ
cana-4932	242	50	on	on	ADP
cana-4932	242	51	the	the	DET
cana-4932	242	52	values	value	NOUN
cana-4932	242	53	of	of	ADP
cana-4932	242	54	the	the	DET
cana-4932	242	55	variable	variable	ADJ
cana-4932	242	56	{	{	PUNCT
cana-4932	242	57	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	242	58	}	}	PUNCT
cana-4932	242	59	.	.	PUNCT
cana-4932	243	1	an	an	DET
cana-4932	243	2	iterative	iterative	NOUN
cana-4932	243	3	optimization	optimization	NOUN
cana-4932	243	4	algorithm	algorithm	NOUN
cana-4932	243	5	is	be	AUX
cana-4932	243	6	employed	employ	VERB
cana-4932	243	7	to	to	PART
cana-4932	243	8	analyze	analyze	VERB
cana-4932	243	9	the	the	DET
cana-4932	243	10	𝑷𝟑	𝑷𝟑	PROPN
cana-4932	243	11	problem	problem	NOUN
cana-4932	243	12	,	,	PUNCT
cana-4932	243	13	in	in	ADP
cana-4932	243	14	which	which	PRON
cana-4932	243	15	the	the	DET
cana-4932	243	16	variable	variable	ADJ
cana-4932	243	17	{	{	PUNCT
cana-4932	243	18	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	243	19	}	}	PUNCT
cana-4932	243	20	is	be	AUX
cana-4932	243	21	optimized	optimize	VERB
cana-4932	243	22	and	and	CCONJ
cana-4932	243	23	then	then	ADV
cana-4932	243	24	subsequently	subsequently	ADV
cana-4932	243	25	,	,	PUNCT
cana-4932	243	26	the	the	DET
cana-4932	243	27	variables	variable	NOUN
cana-4932	243	28	{	{	PUNCT
cana-4932	243	29	𝑐𝑔.𝑚}and	𝑐𝑔.𝑚}and	X
cana-4932	243	30	{	{	PUNCT
cana-4932	243	31	𝑎𝑔.𝑚	𝑎𝑔.𝑚	NOUN
cana-4932	243	32	}	}	PUNCT
cana-4932	243	33	are	be	AUX
cana-4932	243	34	optimized	optimize	VERB
cana-4932	243	35	together	together	ADV
cana-4932	243	36	simultaneously	simultaneously	ADV
cana-4932	243	37	.	.	PUNCT
cana-4932	244	1	the	the	DET
cana-4932	244	2	details	detail	NOUN
cana-4932	244	3	of	of	ADP
cana-4932	244	4	this	this	DET
cana-4932	244	5	process	process	NOUN
cana-4932	244	6	are	be	AUX
cana-4932	244	7	described	describe	VERB
cana-4932	244	8	as	as	ADP
cana-4932	244	9	pseudo	pseudo	NOUN
cana-4932	244	10	code	code	NOUN
cana-4932	244	11	in	in	ADP
cana-4932	244	12	the	the	DET
cana-4932	244	13	following	following	ADJ
cana-4932	244	14	algorithm	algorithm	NOUN
cana-4932	244	15	.	.	PUNCT
cana-4932	245	1	algorithm	algorithm	NOUN
cana-4932	245	2	for	for	ADP
cana-4932	245	3	calculating	calculate	VERB
cana-4932	245	4	the	the	DET
cana-4932	245	5	combination	combination	NOUN
cana-4932	245	6	of	of	ADP
cana-4932	245	7	𝒄𝒈.𝒎and	𝒄𝒈.𝒎and	NOUN
cana-4932	245	8	𝒂𝒈.𝒎according	𝒂𝒈.𝒎accorde	VERB
cana-4932	245	9	to	to	ADP
cana-4932	245	10	the	the	DET
cana-4932	245	11	values	value	NOUN
cana-4932	245	12	of	of	ADP
cana-4932	245	13	𝒑𝒈.𝒎in	𝒑𝒈.𝒎in	PROPN
cana-4932	245	14	the	the	DET
cana-4932	245	15	previous	previous	ADJ
cana-4932	245	16	iteration	iteration	NOUN
cana-4932	245	17	the	the	DET
cana-4932	245	18	known	know	VERB
cana-4932	245	19	inputs	input	NOUN
cana-4932	245	20	of	of	ADP
cana-4932	245	21	the	the	DET
cana-4932	245	22	algorithm	algorithm	NOUN
cana-4932	245	23	𝑡∶𝑁𝑢𝑚𝑏𝑒𝑟	𝑡∶𝑁𝑢𝑚𝑏𝑒𝑟	NUM
cana-4932	245	24	𝑜𝑓	𝑜𝑓	ADP
cana-4932	245	25	𝑎𝑙𝑔𝑜𝑟𝑖𝑡ℎ𝑚	𝑎𝑙𝑔𝑜𝑟𝑖𝑡ℎ𝑚	NOUN
cana-4932	245	26	𝑖𝑡𝑒𝑟𝑎𝑡𝑖𝑜𝑛	𝑖𝑡𝑒𝑟𝑎𝑡𝑖𝑜𝑛	PROPN
cana-4932	245	27	𝐶𝑜𝑢𝑛𝑡𝑒𝑟∶𝑁𝑢𝑚𝑏𝑒𝑟	𝐶𝑜𝑢𝑛𝑡𝑒𝑟∶𝑁𝑢𝑚𝑏𝑒𝑟	PROPN
cana-4932	246	1	𝑜𝑓	𝑜𝑓	ADP
cana-4932	246	2	𝐶𝑉𝑋	𝐶𝑉𝑋	PROPN
cana-4932	246	3	𝑇𝑜𝑜𝑙𝑏𝑜𝑥	𝑇𝑜𝑜𝑙𝑏𝑜𝑥	PROPN
cana-4932	246	4	𝐸𝑥𝑒𝑐𝑢𝑡𝑖𝑛𝑔	𝐸𝑥𝑒𝑐𝑢𝑡𝑖𝑛𝑔	PROPN
cana-4932	246	5	𝑝𝑔.𝑚	𝑝𝑔.𝑚	PROPN
cana-4932	246	6	(	(	PUNCT
cana-4932	246	7	0	0	NUM
cana-4932	246	8	)	)	PUNCT
cana-4932	246	9	∶	∶	NOUN
cana-4932	246	10	𝐼𝑛𝑖𝑡𝑖𝑎𝑙	𝐼𝑛𝑖𝑡𝑖𝑎𝑙	ADJ
cana-4932	246	11	𝑣𝑎𝑙𝑢𝑒	𝑣𝑎𝑙𝑢𝑒	NOUN
cana-4932	246	12	𝑓𝑜𝑟	𝑓𝑜𝑟	ADV
cana-4932	246	13	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	246	14	휀∶	휀∶	NOUN
cana-4932	246	15	𝐶𝑜𝑛𝑣𝑒𝑟𝑔𝑒𝑛𝑐𝑒	𝐶𝑜𝑛𝑣𝑒𝑟𝑔𝑒𝑛𝑐𝑒	PROPN
cana-4932	246	16	𝑃𝑎𝑟𝑎𝑚𝑒𝑡𝑒𝑟	𝑃𝑎𝑟𝑎𝑚𝑒𝑡𝑒𝑟	PROPN
cana-4932	246	17	𝑡	𝑡	VERB
cana-4932	246	18	=	=	NOUN
cana-4932	246	19	1	1	NUM
cana-4932	246	20	.	.	PUNCT
cana-4932	247	1	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	247	2	(	(	PUNCT
cana-4932	247	3	0	0	NUM
cana-4932	247	4	)	)	PUNCT
cana-4932	247	5	=	=	SYM
cana-4932	247	6	𝑃𝑚𝑎𝑥	𝑃𝑚𝑎𝑥	PROPN
cana-4932	247	7	𝑈	𝑈	PROPN
cana-4932	247	8	.	.	PUNCT
cana-4932	248	1	휀	휀	PRON
cana-4932	248	2	=	=	SYM
cana-4932	248	3	10−5	10−5	NUM
cana-4932	248	4	algorithm	algorithm	NOUN
cana-4932	248	5	implementation	implementation	NOUN
cana-4932	248	6	steps	step	VERB
cana-4932	248	7	1while	1while	NUM
cana-4932	248	8	𝑡	𝑡	NOUN
cana-4932	248	9	<	<	X
cana-4932	248	10	𝐶𝑜𝑢𝑛𝑡𝑒𝑟	𝐶𝑜𝑢𝑛𝑡𝑒𝑟	PROPN
cana-4932	248	11	|𝑝𝑔.𝑚	|𝑝𝑔.𝑚	PROPN
cana-4932	248	12	(	(	PUNCT
cana-4932	248	13	𝑡	𝑡	NOUN
cana-4932	248	14	)	)	PUNCT
cana-4932	248	15	−	−	PROPN
cana-4932	248	16	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	248	17	(	(	PUNCT
cana-4932	248	18	𝑡−1	𝑡−1	PROPN
cana-4932	248	19	)	)	PUNCT
cana-4932	249	1	|	|	ADV
cana-4932	249	2	>	>	X
cana-4932	249	3	휀	휀	PROPN
cana-4932	250	1	2compute	2compute	NUM
cana-4932	250	2	optimal	optimal	ADJ
cana-4932	250	3	value	value	NOUN
cana-4932	250	4	of	of	ADP
cana-4932	250	5	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	250	6	(	(	PUNCT
cana-4932	250	7	𝑡	𝑡	NOUN
cana-4932	250	8	)	)	PUNCT
cana-4932	250	9	by	by	ADP
cana-4932	250	10	cvx	cvx	PROPN
cana-4932	250	11	toolbox	toolbox	NOUN
cana-4932	250	12	based	base	VERB
cana-4932	250	13	on	on	ADP
cana-4932	250	14	problem	problem	NOUN
cana-4932	250	15	𝑷𝟑	𝑷𝟑	PROPN
cana-4932	250	16	3𝑡=	3𝑡=	NUM
cana-4932	250	17	𝑡+1	𝑡+1	NUM
cana-4932	250	18	4update	4update	NUM
cana-4932	250	19	value	value	NOUN
cana-4932	250	20	of	of	ADP
cana-4932	250	21	𝑐𝑔.𝑚	𝑐𝑔.𝑚	PROPN
cana-4932	250	22	(	(	PUNCT
cana-4932	250	23	𝑡	𝑡	NOUN
cana-4932	250	24	)	)	PUNCT
cana-4932	250	25	&	&	CCONJ
cana-4932	250	26	𝑎𝑔.𝑚	𝑎𝑔.𝑚	PROPN
cana-4932	250	27	(	(	PUNCT
cana-4932	250	28	𝑡	𝑡	X
cana-4932	250	29	)	)	PUNCT
cana-4932	250	30	based	base	VERB
cana-4932	250	31	on	on	ADP
cana-4932	250	32	problem	problem	NOUN
cana-4932	250	33	𝑷𝟑	𝑷𝟑	PROPN
cana-4932	250	34	5end	5end	NOUN
cana-4932	250	35	while	while	SCONJ
cana-4932	250	36	termination	termination	NOUN
cana-4932	250	37	of	of	ADP
cana-4932	250	38	the	the	DET
cana-4932	250	39	algorithm	algorithm	NOUN
cana-4932	250	40	in	in	ADP
cana-4932	250	41	order	order	NOUN
cana-4932	250	42	to	to	PART
cana-4932	250	43	clarify	clarify	VERB
cana-4932	250	44	the	the	DET
cana-4932	250	45	matter	matter	NOUN
cana-4932	250	46	,	,	PUNCT
cana-4932	250	47	it	it	PRON
cana-4932	250	48	is	be	AUX
cana-4932	250	49	assumed	assume	VERB
cana-4932	250	50	that	that	SCONJ
cana-4932	250	51	according	accord	VERB
cana-4932	250	52	to	to	ADP
cana-4932	250	53	the	the	DET
cana-4932	250	54	optimal	optimal	ADJ
cana-4932	250	55	values	value	NOUN
cana-4932	250	56	obtained	obtain	VERB
cana-4932	250	57	for	for	ADP
cana-4932	250	58	the	the	DET
cana-4932	250	59	variables	variable	NOUN
cana-4932	250	60	{	{	PUNCT
cana-4932	250	61	𝑝𝑔.𝑚}in	𝑝𝑔.𝑚}in	NOUN
cana-4932	250	62	iteration	iteration	NOUN
cana-4932	250	63	t-1	t-1	PROPN
cana-4932	250	64	of	of	ADP
cana-4932	250	65	the	the	DET
cana-4932	250	66	algorithm	algorithm	NOUN
cana-4932	250	67	,	,	PUNCT
cana-4932	250	68	the	the	DET
cana-4932	250	69	optimal	optimal	ADJ
cana-4932	250	70	values	value	NOUN
cana-4932	250	71	of	of	ADP
cana-4932	250	72	the	the	DET
cana-4932	250	73	variables	variable	NOUN
cana-4932	250	74	{	{	PUNCT
cana-4932	250	75	𝑐𝑔.𝑚}and	𝑐𝑔.𝑚}and	X
cana-4932	250	76	{	{	PUNCT
cana-4932	250	77	𝑎𝑔.𝑚	𝑎𝑔.𝑚	NOUN
cana-4932	250	78	}	}	PUNCT
cana-4932	250	79	in	in	ADP
cana-4932	250	80	the	the	DET
cana-4932	250	81	t	t	PROPN
cana-4932	250	82	-	-	PUNCT
cana-4932	250	83	th	th	VERB
cana-4932	250	84	iteration	iteration	NOUN
cana-4932	250	85	of	of	ADP
cana-4932	250	86	this	this	DET
cana-4932	250	87	algorithm	algorithm	NOUN
cana-4932	250	88	will	will	AUX
cana-4932	250	89	be	be	AUX
cana-4932	250	90	calculated	calculate	VERB
cana-4932	250	91	as	as	SCONJ
cana-4932	250	92	follows	follow	VERB
cana-4932	250	93	:	:	PUNCT
cana-4932	250	94	𝑐𝑔.𝑚	𝑐𝑔.𝑚	NOUN
cana-4932	250	95	(	(	PUNCT
cana-4932	250	96	𝑡	𝑡	NOUN
cana-4932	250	97	)	)	PUNCT
cana-4932	250	98	=	=	SYM
cana-4932	250	99	(	(	PUNCT
cana-4932	250	100	√𝑝𝑔.𝑚	√𝑝𝑔.𝑚	NOUN
cana-4932	250	101	(	(	PUNCT
cana-4932	250	102	𝑡−1	𝑡−1	PROPN
cana-4932	250	103	)	)	PUNCT
cana-4932	250	104	𝒉𝑔.𝑚	𝒉𝑔.𝑚	NOUN
cana-4932	250	105	𝐻	𝐻	PROPN
cana-4932	250	106	𝒅𝒈	𝒅𝒈	PROPN
cana-4932	250	107	)	)	PUNCT
cana-4932	250	108	(	(	PUNCT
cana-4932	250	109	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	250	110	(	(	PUNCT
cana-4932	250	111	𝑡−1	𝑡−1	PROPN
cana-4932	250	112	)	)	PUNCT
cana-4932	250	113	‖𝒉𝑔.𝑚	‖𝒉𝑔.𝑚	NOUN
cana-4932	251	1	𝐻	𝐻	PROPN
cana-4932	251	2	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	251	3	2	2	NUM
cana-4932	252	1	+	+	NOUN
cana-4932	252	2	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	252	3	(	(	PUNCT
cana-4932	252	4	𝑡−1	𝑡−1	PROPN
cana-4932	252	5	)	)	PUNCT
cana-4932	252	6	)	)	PUNCT
cana-4932	252	7	−1	−1	NOUN
cana-4932	252	8	(	(	PUNCT
cana-4932	252	9	29	29	NUM
cana-4932	252	10	-	-	SYM
cana-4932	252	11	3	3	NUM
cana-4932	252	12	)	)	PUNCT
cana-4932	252	13	communications	communication	NOUN
cana-4932	252	14	on	on	ADP
cana-4932	252	15	applied	apply	VERB
cana-4932	252	16	nonlinear	nonlinear	ADJ
cana-4932	252	17	analysis	analysis	NOUN
cana-4932	252	18	issn	issn	NOUN
cana-4932	252	19	:	:	PUNCT
cana-4932	252	20	1074	1074	NUM
cana-4932	252	21	-	-	PUNCT
cana-4932	252	22	133x	133x	NUM
cana-4932	252	23	vol	vol	VERB
cana-4932	252	24	32	32	NUM
cana-4932	252	25	no	no	NOUN
cana-4932	252	26	.	.	PUNCT
cana-4932	253	1	10s	10	NOUN
cana-4932	253	2	(	(	PUNCT
cana-4932	253	3	2025	2025	NUM
cana-4932	253	4	)	)	PUNCT
cana-4932	253	5	989	989	NUM
cana-4932	254	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	254	2	𝑎𝑔.𝑚	𝑎𝑔.𝑚	PROPN
cana-4932	254	3	(	(	PUNCT
cana-4932	254	4	𝑡	𝑡	NOUN
cana-4932	254	5	)	)	PUNCT
cana-4932	254	6	=	=	SYM
cana-4932	254	7	1	1	NUM
cana-4932	254	8	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	254	9	𝑜𝑝𝑡(𝑡	𝑜𝑝𝑡(𝑡	NOUN
cana-4932	254	10	)	)	PUNCT
cana-4932	254	11	(	(	PUNCT
cana-4932	254	12	30	30	NUM
cana-4932	254	13	-	-	SYM
cana-4932	254	14	3	3	NUM
cana-4932	254	15	)	)	PUNCT
cana-4932	254	16	in	in	ADP
cana-4932	254	17	equations	equation	NOUN
cana-4932	254	18	(	(	PUNCT
cana-4932	254	19	3	3	NUM
cana-4932	254	20	-	-	SYM
cana-4932	254	21	29	29	NUM
cana-4932	254	22	)	)	PUNCT
cana-4932	254	23	and	and	CCONJ
cana-4932	254	24	(	(	PUNCT
cana-4932	254	25	3	3	NUM
cana-4932	254	26	-	-	SYM
cana-4932	254	27	30	30	NUM
cana-4932	254	28	)	)	PUNCT
cana-4932	254	29	,	,	PUNCT
cana-4932	254	30	the	the	DET
cana-4932	254	31	variables	variables	ADJ
cana-4932	254	32	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	254	33	(	(	PUNCT
cana-4932	254	34	𝑡−1	𝑡−1	PROPN
cana-4932	254	35	)	)	PUNCT
cana-4932	254	36	and	and	CCONJ
cana-4932	254	37	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	254	38	𝑜𝑝𝑡(𝑡	𝑜𝑝𝑡(𝑡	NOUN
cana-4932	254	39	)	)	PUNCT
cana-4932	254	40	are	be	AUX
cana-4932	254	41	calculated	calculate	VERB
cana-4932	254	42	as	as	SCONJ
cana-4932	254	43	follows	follow	VERB
cana-4932	254	44	:	:	PUNCT
cana-4932	254	45	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	254	46	(	(	PUNCT
cana-4932	254	47	𝑡−1	𝑡−1	PROPN
cana-4932	254	48	)	)	PUNCT
cana-4932	254	49	=	=	SYM
cana-4932	254	50	‖𝒉𝑔.𝑚	‖𝒉𝑔.𝑚	PUNCT
cana-4932	254	51	𝐻	𝐻	NOUN
cana-4932	254	52	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	254	53	2	2	NUM
cana-4932	254	54	∑	∑	NUM
cana-4932	254	55	𝑝𝑔.𝑗	𝑝𝑔.𝑗	X
cana-4932	254	56	(	(	PUNCT
cana-4932	254	57	𝑡−1	𝑡−1	PROPN
cana-4932	254	58	)	)	PUNCT
cana-4932	254	59	+	+	NUM
cana-4932	254	60	𝑚−1	𝑚−1	PROPN
cana-4932	254	61	𝑗=1	𝑗=1	SYM
cana-4932	254	62	∑∑𝑝𝑔.𝑗	∑∑𝑝𝑔.𝑗	PROPN
cana-4932	254	63	(	(	PUNCT
cana-4932	254	64	𝑡−1	𝑡−1	PROPN
cana-4932	254	65	)	)	PUNCT
cana-4932	254	66	‖𝒉𝑔.𝑚	‖𝒉𝑔.𝑚	PROPN
cana-4932	255	1	𝐻	𝐻	NOUN
cana-4932	255	2	𝒅𝒈‖	𝒅𝒈‖	PROPN
cana-4932	255	3	2	2	NUM
cana-4932	255	4	2	2	NUM
cana-4932	255	5	+	+	CCONJ
cana-4932	255	6	𝑁𝑖	𝑁𝑖	PROPN
cana-4932	255	7	𝑗=1	𝑗=1	PROPN
cana-4932	255	8	𝐺	𝐺	NOUN
cana-4932	255	9	𝑖=1	𝑖=1	PUNCT
cana-4932	255	10	𝑖≠𝑔	𝑖≠𝑔	PUNCT
cana-4932	255	11	𝜎𝑣	𝜎𝑣	ADP
cana-4932	255	12	2	2	NUM
cana-4932	255	13	(	(	PUNCT
cana-4932	255	14	31	31	NUM
cana-4932	255	15	-	-	SYM
cana-4932	255	16	3	3	NUM
cana-4932	255	17	)	)	PUNCT
cana-4932	255	18	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	255	19	𝑜𝑝𝑡(𝑡	𝑜𝑝𝑡(𝑡	NOUN
cana-4932	255	20	)	)	PUNCT
cana-4932	255	21	=	=	SYM
cana-4932	255	22	1	1	NUM
cana-4932	255	23	−	−	NOUN
cana-4932	255	24	(	(	PUNCT
cana-4932	255	25	𝑝𝑔.𝑚	𝑝𝑔.𝑚	PROPN
cana-4932	255	26	(	(	PUNCT
cana-4932	255	27	𝑡−1	𝑡−1	PROPN
cana-4932	255	28	)	)	PUNCT
cana-4932	255	29	‖𝒉𝑔.𝑚	‖𝒉𝑔.𝑚	NOUN
cana-4932	256	1	𝐻	𝐻	PROPN
cana-4932	256	2	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	256	3	2	2	NUM
cana-4932	256	4	)	)	PUNCT
cana-4932	256	5	(	(	PUNCT
cana-4932	256	6	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	256	7	(	(	PUNCT
cana-4932	256	8	𝑡−1	𝑡−1	PROPN
cana-4932	256	9	)	)	PUNCT
cana-4932	256	10	‖𝒉𝑔.𝑚	‖𝒉𝑔.𝑚	NOUN
cana-4932	257	1	𝐻	𝐻	PROPN
cana-4932	257	2	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	257	3	2	2	NUM
cana-4932	257	4	+	+	NOUN
cana-4932	257	5	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	257	6	(	(	PUNCT
cana-4932	257	7	𝑡−1	𝑡−1	PROPN
cana-4932	257	8	)	)	PUNCT
cana-4932	257	9	)	)	PUNCT
cana-4932	257	10	−1	−1	NOUN
cana-4932	257	11	(	(	PUNCT
cana-4932	257	12	32	32	NUM
cana-4932	257	13	-	-	SYM
cana-4932	257	14	3	3	NUM
cana-4932	257	15	)	)	PUNCT
cana-4932	257	16	moreover	moreover	ADV
cana-4932	257	17	,	,	PUNCT
cana-4932	257	18	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	257	19	is	be	AUX
cana-4932	257	20	considered	consider	VERB
cana-4932	257	21	as	as	ADP
cana-4932	257	22	one	one	NUM
cana-4932	257	23	of	of	ADP
cana-4932	257	24	the	the	DET
cana-4932	257	25	arguments	argument	NOUN
cana-4932	257	26	of	of	ADP
cana-4932	257	27	the	the	DET
cana-4932	257	28	objective	objective	ADJ
cana-4932	257	29	function	function	NOUN
cana-4932	257	30	of	of	ADP
cana-4932	257	31	the	the	DET
cana-4932	257	32	optimization	optimization	NOUN
cana-4932	257	33	problem	problem	NOUN
cana-4932	257	34	𝑷𝟑.	𝑷𝟑.	NOUN
cana-4932	258	1	the	the	DET
cana-4932	258	2	optimal	optimal	ADJ
cana-4932	258	3	values	value	NOUN
cana-4932	258	4	calculated	calculate	VERB
cana-4932	258	5	for	for	ADP
cana-4932	258	6	the	the	DET
cana-4932	258	7	variable	variable	ADJ
cana-4932	258	8	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	258	9	in	in	ADP
cana-4932	258	10	the	the	DET
cana-4932	258	11	t-1	t-1	PROPN
cana-4932	258	12	iteration	iteration	NOUN
cana-4932	258	13	of	of	ADP
cana-4932	258	14	the	the	DET
cana-4932	258	15	above	above	ADJ
cana-4932	258	16	algorithm	algorithm	NOUN
cana-4932	258	17	are	be	AUX
cana-4932	258	18	dependent	dependent	ADJ
cana-4932	258	19	,	,	PUNCT
cana-4932	258	20	and	and	CCONJ
cana-4932	258	21	in	in	ADP
cana-4932	258	22	the	the	DET
cana-4932	258	23	t	t	PROPN
cana-4932	258	24	iteration	iteration	NOUN
cana-4932	258	25	of	of	ADP
cana-4932	258	26	the	the	DET
cana-4932	258	27	algorithm	algorithm	NOUN
cana-4932	258	28	,	,	PUNCT
cana-4932	258	29	calculations	calculation	NOUN
cana-4932	258	30	are	be	AUX
cana-4932	258	31	written	write	VERB
cana-4932	258	32	as	as	ADP
cana-4932	258	33	:	:	PUNCT
cana-4932	258	34	𝑒𝑔.𝑚	𝑒𝑔.𝑚	NOUN
cana-4932	258	35	(	(	PUNCT
cana-4932	258	36	𝑡	𝑡	NOUN
cana-4932	258	37	)	)	PUNCT
cana-4932	258	38	=	=	SYM
cana-4932	258	39	1	1	NUM
cana-4932	258	40	−	−	PROPN
cana-4932	258	41	2𝑅𝑒	2𝑅𝑒	NUM
cana-4932	258	42	{	{	PUNCT
cana-4932	258	43	𝑐𝑔.𝑚	𝑐𝑔.𝑚	PROPN
cana-4932	258	44	(	(	PUNCT
cana-4932	258	45	𝑡	𝑡	NOUN
cana-4932	258	46	)	)	PUNCT
cana-4932	258	47	√𝑝𝑔.𝑚	√𝑝𝑔.𝑚	NOUN
cana-4932	258	48	(	(	PUNCT
cana-4932	258	49	𝑡	𝑡	NOUN
cana-4932	258	50	)	)	PUNCT
cana-4932	258	51	𝒉𝑔.𝑚	𝒉𝑔.𝑚	NOUN
cana-4932	258	52	𝐻	𝐻	PRON
cana-4932	258	53	𝒅𝒈	𝒅𝒈	ADP
cana-4932	258	54	}	}	PUNCT
cana-4932	258	55	+	+	CCONJ
cana-4932	258	56	|𝑐𝑔.𝑚	|𝑐𝑔.𝑚	NOUN
cana-4932	258	57	(	(	PUNCT
cana-4932	258	58	𝑡	𝑡	NOUN
cana-4932	258	59	)	)	PUNCT
cana-4932	258	60	|	|	ADV
cana-4932	258	61	2	2	NUM
cana-4932	258	62	(	(	PUNCT
cana-4932	258	63	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	258	64	(	(	PUNCT
cana-4932	258	65	𝑡	𝑡	NOUN
cana-4932	258	66	)	)	PUNCT
cana-4932	258	67	‖𝒉𝑔.𝑚	‖𝒉𝑔.𝑚	PUNCT
cana-4932	258	68	𝐻	𝐻	PROPN
cana-4932	258	69	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	258	70	2	2	NUM
cana-4932	259	1	+	+	NOUN
cana-4932	259	2	𝜉𝑔.𝑚	𝜉𝑔.𝑚	NOUN
cana-4932	259	3	(	(	PUNCT
cana-4932	259	4	𝑡	𝑡	NOUN
cana-4932	259	5	)	)	PUNCT
cana-4932	259	6	)	)	PUNCT
cana-4932	260	1	(	(	PUNCT
cana-4932	260	2	33	33	NUM
cana-4932	260	3	-	-	SYM
cana-4932	260	4	3	3	NUM
cana-4932	260	5	)	)	PUNCT
cana-4932	260	6	after	after	ADP
cana-4932	260	7	the	the	DET
cana-4932	260	8	insertion	insertion	NOUN
cana-4932	260	9	of	of	ADP
cana-4932	260	10	relation	relation	NOUN
cana-4932	260	11	(	(	PUNCT
cana-4932	260	12	3	3	NUM
cana-4932	260	13	-	-	SYM
cana-4932	260	14	10	10	NUM
cana-4932	260	15	)	)	PUNCT
cana-4932	260	16	into	into	ADP
cana-4932	260	17	relation	relation	NOUN
cana-4932	260	18	(	(	PUNCT
cana-4932	260	19	3	3	NUM
cana-4932	260	20	-	-	SYM
cana-4932	260	21	33	33	NUM
cana-4932	260	22	)	)	PUNCT
cana-4932	260	23	,	,	PUNCT
cana-4932	260	24	we	we	PRON
cana-4932	260	25	will	will	AUX
cana-4932	260	26	have	have	VERB
cana-4932	260	27	:	:	PUNCT
cana-4932	260	28	�	�	PROPN
cana-4932	260	29	̃	̃	PROPN
cana-4932	260	30	�	�	PROPN
cana-4932	260	31	𝑔.𝑚	𝑔.𝑚	PROPN
cana-4932	260	32	(	(	PUNCT
cana-4932	260	33	𝑡	𝑡	NOUN
cana-4932	260	34	)	)	PUNCT
cana-4932	260	35	=	=	SYM
cana-4932	261	1	1	1	NUM
cana-4932	261	2	−	−	PROPN
cana-4932	261	3	2𝑅𝑒{𝑐𝑔.𝑚	2𝑅𝑒{𝑐𝑔.𝑚	NUM
cana-4932	261	4	(	(	PUNCT
cana-4932	261	5	𝑡	𝑡	NOUN
cana-4932	261	6	)	)	PUNCT
cana-4932	261	7	𝒉𝑔.𝑚	𝒉𝑔.𝑚	NOUN
cana-4932	261	8	𝐻	𝐻	PROPN
cana-4932	261	9	𝒅𝒈}√𝑝𝑔.𝑚	𝒅𝒈}√𝑝𝑔.𝑚	NOUN
cana-4932	261	10	(	(	PUNCT
cana-4932	261	11	𝑡	𝑡	X
cana-4932	261	12	)	)	PUNCT
cana-4932	261	13	+	+	VERB
cana-4932	261	14	|𝑐𝑔.𝑚	|𝑐𝑔.𝑚	NOUN
cana-4932	261	15	(	(	PUNCT
cana-4932	261	16	𝑡	𝑡	NOUN
cana-4932	261	17	)	)	PUNCT
cana-4932	261	18	|	|	ADV
cana-4932	261	19	2	2	NUM
cana-4932	261	20	(	(	PUNCT
cana-4932	261	21	‖𝒉𝑔.𝑚	‖𝒉𝑔.𝑚	PROPN
cana-4932	261	22	𝐻	𝐻	NOUN
cana-4932	261	23	𝒅𝒈‖2	𝒅𝒈‖2	ADJ
cana-4932	261	24	2	2	NUM
cana-4932	261	25	∑𝑝𝑔.𝑗	∑𝑝𝑔.𝑗	NOUN
cana-4932	261	26	(	(	PUNCT
cana-4932	261	27	𝑡	𝑡	X
cana-4932	261	28	)	)	PUNCT
cana-4932	261	29	+	+	CCONJ
cana-4932	261	30	𝑚	𝑚	X
cana-4932	261	31	𝑗=1	𝑗=1	PART
cana-4932	261	32	∑∑𝑝𝑔.𝑗	∑∑𝑝𝑔.𝑗	PROPN
cana-4932	261	33	(	(	PUNCT
cana-4932	261	34	𝑡	𝑡	NOUN
cana-4932	261	35	)	)	PUNCT
cana-4932	261	36	‖𝒉𝑔.𝑚	‖𝒉𝑔.𝑚	PUNCT
cana-4932	262	1	𝐻	𝐻	NOUN
cana-4932	262	2	𝒅𝒈‖	𝒅𝒈‖	PROPN
cana-4932	262	3	2	2	NUM
cana-4932	262	4	2	2	NUM
cana-4932	262	5	+	+	CCONJ
cana-4932	262	6	𝑁𝑖	𝑁𝑖	PROPN
cana-4932	262	7	𝑗=1	𝑗=1	PROPN
cana-4932	262	8	𝐺	𝐺	NOUN
cana-4932	262	9	𝑖=1	𝑖=1	PUNCT
cana-4932	262	10	𝑖≠𝑔	𝑖≠𝑔	PUNCT
cana-4932	262	11	𝜎𝑣	𝜎𝑣	ADP
cana-4932	262	12	2	2	NUM
cana-4932	262	13	(	(	PUNCT
cana-4932	262	14	34	34	NUM
cana-4932	262	15	-	-	SYM
cana-4932	262	16	3	3	NUM
cana-4932	262	17	)	)	PUNCT
cana-4932	262	18	in	in	ADP
cana-4932	262	19	the	the	DET
cana-4932	262	20	end	end	NOUN
cana-4932	262	21	,	,	PUNCT
cana-4932	262	22	the	the	DET
cana-4932	262	23	objective	objective	ADJ
cana-4932	262	24	function	function	NOUN
cana-4932	262	25	of	of	ADP
cana-4932	262	26	relation	relation	NOUN
cana-4932	262	27	(	(	PUNCT
cana-4932	262	28	3	3	NUM
cana-4932	262	29	-	-	SYM
cana-4932	262	30	35	35	NUM
cana-4932	262	31	)	)	PUNCT
cana-4932	262	32	is	be	AUX
cana-4932	262	33	a	a	DET
cana-4932	262	34	convex	convex	ADJ
cana-4932	262	35	function	function	NOUN
cana-4932	262	36	:	:	PUNCT
cana-4932	262	37	min	min	NOUN
cana-4932	262	38	{	{	PUNCT
cana-4932	262	39	𝑝𝑔.𝑚	𝑝𝑔.𝑚	PROPN
cana-4932	262	40	(	(	PUNCT
cana-4932	262	41	𝑡	𝑡	NOUN
cana-4932	262	42	)	)	PUNCT
cana-4932	262	43	}	}	PUNCT
cana-4932	262	44	=	=	PUNCT
cana-4932	263	1	∑∑	∑∑	NOUN
cana-4932	263	2	𝑎𝑔.𝑚	𝑎𝑔.𝑚	NOUN
cana-4932	263	3	(	(	PUNCT
cana-4932	263	4	𝑡	𝑡	NOUN
cana-4932	263	5	)	)	PUNCT
cana-4932	263	6	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	263	7	𝑚=1	𝑚=1	X
cana-4932	263	8	𝐺	𝐺	PROPN
cana-4932	263	9	𝑔=1	𝑔=1	PUNCT
cana-4932	263	10	�	�	PROPN
cana-4932	263	11	̃	̃	PROPN
cana-4932	263	12	�	�	PROPN
cana-4932	263	13	𝑔.𝑚	𝑔.𝑚	PROPN
cana-4932	263	14	(	(	PUNCT
cana-4932	263	15	𝑡	𝑡	NOUN
cana-4932	263	16	)	)	PUNCT
cana-4932	263	17	(	(	PUNCT
cana-4932	263	18	35	35	NUM
cana-4932	263	19	-	-	SYM
cana-4932	263	20	3	3	NUM
cana-4932	263	21	)	)	PUNCT
cana-4932	263	22	using	use	VERB
cana-4932	263	23	the	the	DET
cana-4932	263	24	objective	objective	ADJ
cana-4932	263	25	function	function	NOUN
cana-4932	263	26	relationship	relationship	NOUN
cana-4932	263	27	(	(	PUNCT
cana-4932	263	28	3	3	NUM
cana-4932	263	29	-	-	SYM
cana-4932	263	30	53	53	NUM
cana-4932	263	31	)	)	PUNCT
cana-4932	263	32	,	,	PUNCT
cana-4932	263	33	the	the	DET
cana-4932	263	34	new	new	ADJ
cana-4932	263	35	problem	problem	NOUN
cana-4932	263	36	𝑷𝟒	𝑷𝟒	ADV
cana-4932	263	37	is	be	AUX
cana-4932	263	38	a	a	DET
cana-4932	263	39	convex	convex	ADJ
cana-4932	263	40	standard	standard	ADJ
cana-4932	263	41	optimization	optimization	NOUN
cana-4932	263	42	problem	problem	NOUN
cana-4932	263	43	because	because	SCONJ
cana-4932	263	44	it	it	PRON
cana-4932	263	45	has	have	VERB
cana-4932	263	46	a	a	DET
cana-4932	263	47	convex	convex	ADJ
cana-4932	263	48	objective	objective	ADJ
cana-4932	263	49	function	function	NOUN
cana-4932	263	50	and	and	CCONJ
cana-4932	263	51	four	four	NUM
cana-4932	263	52	convex	convex	NOUN
cana-4932	263	53	constraints	constraint	NOUN
cana-4932	263	54	,	,	PUNCT
cana-4932	263	55	all	all	PRON
cana-4932	263	56	of	of	ADP
cana-4932	263	57	which	which	PRON
cana-4932	263	58	jointly	jointly	ADV
cana-4932	263	59	form	form	VERB
cana-4932	263	60	a	a	DET
cana-4932	263	61	convex	convex	ADJ
cana-4932	263	62	feasible	feasible	ADJ
cana-4932	263	63	region	region	NOUN
cana-4932	263	64	for	for	ADP
cana-4932	263	65	the	the	DET
cana-4932	263	66	problem	problem	NOUN
cana-4932	263	67	.	.	PUNCT
cana-4932	264	1	the	the	DET
cana-4932	264	2	convex	convex	PROPN
cana-4932	264	3	optimization	optimization	NOUN
cana-4932	264	4	formulation	formulation	NOUN
cana-4932	264	5	of	of	ADP
cana-4932	264	6	problem	problem	NOUN
cana-4932	264	7	𝑷𝟒	𝑷𝟒	PROPN
cana-4932	264	8	is	be	AUX
cana-4932	264	9	as	as	SCONJ
cana-4932	264	10	follows	follow	VERB
cana-4932	264	11	:	:	PUNCT
cana-4932	264	12	by	by	ADP
cana-4932	264	13	convexifying	convexifye	VERB
cana-4932	264	14	the	the	DET
cana-4932	264	15	𝑷𝟒optimization	𝑷𝟒optimization	NOUN
cana-4932	264	16	problem	problem	NOUN
cana-4932	264	17	to	to	ADP
cana-4932	264	18	its	its	PRON
cana-4932	264	19	standard	standard	ADJ
cana-4932	264	20	form	form	NOUN
cana-4932	264	21	in	in	ADP
cana-4932	264	22	the	the	DET
cana-4932	264	23	matlab	matlab	PROPN
cana-4932	264	24	simulation	simulation	NOUN
cana-4932	264	25	software	software	PROPN
cana-4932	264	26	,	,	PUNCT
cana-4932	264	27	this	this	DET
cana-4932	264	28	problem	problem	NOUN
cana-4932	264	29	can	can	AUX
cana-4932	264	30	be	be	AUX
cana-4932	264	31	defined	define	VERB
cana-4932	264	32	in	in	ADP
cana-4932	264	33	the	the	DET
cana-4932	264	34	cvx	cvx	PROPN
cana-4932	264	35	toolbox	toolbox	NOUN
cana-4932	264	36	and	and	CCONJ
cana-4932	264	37	solved	solve	VERB
cana-4932	264	38	using	use	VERB
cana-4932	264	39	numerical	numerical	ADJ
cana-4932	264	40	analysis	analysis	NOUN
cana-4932	264	41	methods	method	NOUN
cana-4932	264	42	.	.	PUNCT
cana-4932	265	1	the	the	DET
cana-4932	265	2	objective	objective	ADJ
cana-4932	265	3	function	function	NOUN
cana-4932	265	4	of	of	ADP
cana-4932	265	5	this	this	DET
cana-4932	265	6	problem	problem	NOUN
cana-4932	265	7	is	be	AUX
cana-4932	265	8	expected	expect	VERB
cana-4932	265	9	to	to	PART
cana-4932	265	10	reach	reach	VERB
cana-4932	265	11	its	its	PRON
cana-4932	265	12	minimum	minimum	ADJ
cana-4932	265	13	value	value	NOUN
cana-4932	265	14	due	due	ADP
cana-4932	265	15	to	to	ADP
cana-4932	265	16	the	the	DET
cana-4932	265	17	interference	interference	NOUN
cana-4932	265	18	nature	nature	NOUN
cana-4932	265	19	of	of	ADP
cana-4932	265	20	the	the	DET
cana-4932	265	21	signal	signal	ADJ
cana-4932	265	22	types	type	NOUN
cana-4932	265	23	through	through	ADP
cana-4932	265	24	optimization	optimization	NOUN
cana-4932	265	25	.	.	PUNCT
cana-4932	266	1	the	the	DET
cana-4932	266	2	variable	variable	ADJ
cana-4932	266	3	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	266	4	,	,	PUNCT
cana-4932	266	5	representing	represent	VERB
cana-4932	266	6	the	the	DET
cana-4932	266	7	power	power	NOUN
cana-4932	266	8	allocation	allocation	NOUN
cana-4932	266	9	factor	factor	NOUN
cana-4932	266	10	for	for	ADP
cana-4932	266	11	the	the	DET
cana-4932	266	12	noma	noma	PROPN
cana-4932	266	13	scheme	scheme	NOUN
cana-4932	266	14	in	in	ADP
cana-4932	266	15	cognitive	cognitive	ADJ
cana-4932	266	16	radio	radio	NOUN
cana-4932	266	17	networks	network	NOUN
cana-4932	266	18	,	,	PUNCT
cana-4932	266	19	is	be	AUX
cana-4932	266	20	optimized	optimize	VERB
cana-4932	266	21	through	through	ADP
cana-4932	266	22	simulating	simulate	VERB
cana-4932	266	23	this	this	DET
cana-4932	266	24	complex	complex	ADJ
cana-4932	266	25	problem	problem	NOUN
cana-4932	266	26	in	in	ADP
cana-4932	266	27	the	the	DET
cana-4932	266	28	cvx	cvx	PROPN
cana-4932	266	29	toolbox	toolbox	NOUN
cana-4932	266	30	,	,	PUNCT
cana-4932	266	31	yielding	yield	VERB
cana-4932	266	32	the	the	DET
cana-4932	266	33	output	output	NOUN
cana-4932	266	34	of	of	ADP
cana-4932	266	35	the	the	DET
cana-4932	266	36	𝑷𝟒optimization	𝑷𝟒optimization	NOUN
cana-4932	266	37	problem	problem	NOUN
cana-4932	266	38	.	.	PUNCT
cana-4932	267	1	by	by	ADP
cana-4932	267	2	implementing	implement	VERB
cana-4932	267	3	this	this	DET
cana-4932	267	4	method	method	NOUN
cana-4932	267	5	,	,	PUNCT
cana-4932	267	6	the	the	DET
cana-4932	267	7	interference	interference	NOUN
cana-4932	267	8	caused	cause	VERB
cana-4932	267	9	by	by	ADP
cana-4932	267	10	secondary	secondary	ADJ
cana-4932	267	11	users	user	NOUN
cana-4932	267	12	on	on	ADP
cana-4932	267	13	the	the	DET
cana-4932	267	14	primary	primary	ADJ
cana-4932	267	15	user	user	NOUN
cana-4932	267	16	channel	channel	NOUN
cana-4932	267	17	is	be	AUX
cana-4932	267	18	significantly	significantly	ADV
cana-4932	267	19	mitigated	mitigate	VERB
cana-4932	267	20	.	.	PUNCT
cana-4932	268	1	this	this	PRON
cana-4932	268	2	is	be	AUX
cana-4932	268	3	achieved	achieve	VERB
cana-4932	268	4	by	by	ADP
cana-4932	268	5	reducing	reduce	VERB
cana-4932	268	6	and	and	CCONJ
cana-4932	268	7	controlling	control	VERB
cana-4932	268	8	the	the	DET
cana-4932	268	9	power	power	NOUN
cana-4932	268	10	of	of	ADP
cana-4932	268	11	secondary	secondary	ADJ
cana-4932	268	12	users	user	NOUN
cana-4932	268	13	to	to	PART
cana-4932	268	14	meet	meet	VERB
cana-4932	268	15	the	the	DET
cana-4932	268	16	threshold	threshold	NOUN
cana-4932	268	17	𝐼𝑡ℎ	𝐼𝑡ℎ	PROPN
cana-4932	268	18	set	set	VERB
cana-4932	268	19	by	by	ADP
cana-4932	268	20	the	the	DET
cana-4932	268	21	primary	primary	ADJ
cana-4932	268	22	user	user	NOUN
cana-4932	268	23	,	,	PUNCT
cana-4932	268	24	thereby	thereby	ADV
cana-4932	268	25	managing	manage	VERB
cana-4932	268	26	the	the	DET
cana-4932	268	27	interferences	interference	NOUN
cana-4932	268	28	.	.	PUNCT
cana-4932	269	1	consequently	consequently	ADV
cana-4932	269	2	,	,	PUNCT
cana-4932	269	3	with	with	SCONJ
cana-4932	269	4	communications	communication	NOUN
cana-4932	269	5	on	on	ADP
cana-4932	269	6	applied	apply	VERB
cana-4932	269	7	nonlinear	nonlinear	ADJ
cana-4932	269	8	analysis	analysis	NOUN
cana-4932	269	9	issn	issn	NOUN
cana-4932	269	10	:	:	PUNCT
cana-4932	269	11	1074	1074	NUM
cana-4932	269	12	-	-	PUNCT
cana-4932	269	13	133x	133x	NUM
cana-4932	269	14	vol	vol	VERB
cana-4932	269	15	32	32	NUM
cana-4932	269	16	no	no	NOUN
cana-4932	269	17	.	.	PUNCT
cana-4932	270	1	10s	10	NOUN
cana-4932	270	2	(	(	PUNCT
cana-4932	270	3	2025	2025	NUM
cana-4932	270	4	)	)	PUNCT
cana-4932	270	5	990	990	NUM
cana-4932	270	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	271	1	the	the	DET
cana-4932	271	2	desirable	desirable	ADJ
cana-4932	271	3	conditions	condition	NOUN
cana-4932	271	4	in	in	ADP
cana-4932	271	5	the	the	DET
cana-4932	271	6	primary	primary	ADJ
cana-4932	271	7	user	user	NOUN
cana-4932	271	8	channel	channel	PROPN
cana-4932	271	9	,	,	PUNCT
cana-4932	271	10	the	the	DET
cana-4932	271	11	primary	primary	ADJ
cana-4932	271	12	user	user	NOUN
cana-4932	271	13	will	will	AUX
cana-4932	271	14	receive	receive	VERB
cana-4932	271	15	the	the	DET
cana-4932	271	16	signal	signal	NOUN
cana-4932	271	17	with	with	ADP
cana-4932	271	18	minimal	minimal	ADJ
cana-4932	271	19	interference	interference	NOUN
cana-4932	271	20	at	at	ADP
cana-4932	271	21	their	their	PRON
cana-4932	271	22	receiver	receiver	NOUN
cana-4932	271	23	.	.	PUNCT
cana-4932	272	1	all	all	DET
cana-4932	272	2	results	result	NOUN
cana-4932	272	3	will	will	AUX
cana-4932	272	4	be	be	AUX
cana-4932	272	5	detailed	detail	VERB
cana-4932	272	6	,	,	PUNCT
cana-4932	272	7	interpreted	interpret	VERB
cana-4932	272	8	,	,	PUNCT
cana-4932	272	9	and	and	CCONJ
cana-4932	272	10	evaluated	evaluate	VERB
cana-4932	272	11	in	in	ADP
cana-4932	272	12	the	the	DET
cana-4932	272	13	form	form	NOUN
cana-4932	272	14	of	of	ADP
cana-4932	272	15	figures	figure	NOUN
cana-4932	272	16	and	and	CCONJ
cana-4932	272	17	graphs	graph	NOUN
cana-4932	272	18	in	in	ADP
cana-4932	272	19	chapter	chapter	NOUN
cana-4932	272	20	four	four	NUM
cana-4932	272	21	.	.	PUNCT
cana-4932	273	1	𝑷𝟒	𝑷𝟒	PROPN
cana-4932	273	2	:	:	PUNCT
cana-4932	273	3	{	{	PUNCT
cana-4932	273	4	max	max	PROPN
cana-4932	273	5	{	{	PUNCT
cana-4932	273	6	𝑝𝑔.𝑚	𝑝𝑔.𝑚	PROPN
cana-4932	273	7	(	(	PUNCT
cana-4932	273	8	𝑡	𝑡	NOUN
cana-4932	273	9	)	)	PUNCT
cana-4932	273	10	}	}	PUNCT
cana-4932	273	11	∑∑	∑∑	PROPN
cana-4932	273	12	𝑎𝑔.𝑚	𝑎𝑔.𝑚	NOUN
cana-4932	273	13	(	(	PUNCT
cana-4932	273	14	𝑡	𝑡	NOUN
cana-4932	273	15	)	)	PUNCT
cana-4932	273	16	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	273	17	𝑚=1	𝑚=1	X
cana-4932	273	18	𝐺	𝐺	PROPN
cana-4932	273	19	𝑔=1	𝑔=1	PUNCT
cana-4932	273	20	�	�	PROPN
cana-4932	273	21	̃	̃	PROPN
cana-4932	273	22	�	�	PROPN
cana-4932	273	23	𝑔.𝑚	𝑔.𝑚	PROPN
cana-4932	273	24	(	(	PUNCT
cana-4932	273	25	𝑡	𝑡	NOUN
cana-4932	273	26	)	)	PUNCT
cana-4932	273	27	𝑺𝒖𝒔𝒃𝒋𝒆𝒄𝒕	𝑺𝒖𝒔𝒃𝒋𝒆𝒄𝒕	PROPN
cana-4932	273	28	𝒕𝒐.	𝒕𝒐.	NOUN
cana-4932	274	1	𝐶1	𝐶1	PROPN
cana-4932	274	2	(	(	PUNCT
cana-4932	274	3	𝑝3	𝑝3	ADV
cana-4932	274	4	):	):	PUNCT
cana-4932	274	5	𝑝𝑔.𝑚	𝑝𝑔.𝑚	PROPN
cana-4932	274	6	≥	≥	NOUN
cana-4932	274	7	0	0	NUM
cana-4932	274	8	.	.	PUNCT
cana-4932	275	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	275	2	𝐶2	𝐶2	INTJ
cana-4932	275	3	(	(	PUNCT
cana-4932	275	4	𝑝3):∑	𝑝3):∑	INTJ
cana-4932	275	5	∑	∑	PUNCT
cana-4932	275	6	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	276	1	≤	≤	ADJ
cana-4932	276	2	𝑃𝑚𝑎𝑥	𝑃𝑚𝑎𝑥	PROPN
cana-4932	277	1	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	277	2	𝑚=1	𝑚=1	X
cana-4932	277	3	𝐺	𝐺	PROPN
cana-4932	277	4	𝑔=1	𝑔=1	ADJ
cana-4932	277	5	𝐶3	𝐶3	NOUN
cana-4932	277	6	(	(	PUNCT
cana-4932	277	7	𝑝3	𝑝3	ADV
cana-4932	277	8	):	):	PUNCT
cana-4932	277	9	𝑝𝑔.𝑚+1	𝑝𝑔.𝑚+1	PROPN
cana-4932	277	10	≥	≥	NUM
cana-4932	277	11	𝛼	𝛼	PRON
cana-4932	277	12	×	×	NOUN
cana-4932	277	13	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	277	14	.	.	PUNCT
cana-4932	278	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	278	2	𝐶4	𝐶4	PROPN
cana-4932	278	3	(	(	PUNCT
cana-4932	278	4	𝑝3):∑[‖𝒉𝒑𝒖𝒅𝒈‖2	𝑝3):∑[‖𝒉𝒑𝒖𝒅𝒈‖2	VERB
cana-4932	278	5	2	2	NUM
cana-4932	278	6	∑	∑	ADP
cana-4932	278	7	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	278	8	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	278	9	𝑚=1	𝑚=1	X
cana-4932	278	10	]	]	PUNCT
cana-4932	278	11	≤	≤	NUM
cana-4932	278	12	𝐼𝑡ℎ	𝐼𝑡ℎ	PROPN
cana-4932	278	13	𝐺	𝐺	PROPN
cana-4932	278	14	𝑔=1	𝑔=1	NOUN
cana-4932	278	15	.	.	PUNCT
cana-4932	279	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	279	2	3	3	NUM
cana-4932	279	3	-	-	SYM
cana-4932	279	4	2	2	NUM
cana-4932	279	5	second	second	ADJ
cana-4932	279	6	proposed	propose	VERB
cana-4932	279	7	method	method	NOUN
cana-4932	279	8	:	:	PUNCT
cana-4932	279	9	choosing	choose	VERB
cana-4932	279	10	cluster	cluster	NOUN
cana-4932	279	11	heads	head	NOUN
cana-4932	279	12	considering	consider	VERB
cana-4932	279	13	initial	initial	ADJ
cana-4932	279	14	user	user	NOUN
cana-4932	279	15	status	status	NOUN
cana-4932	279	16	to	to	PART
cana-4932	279	17	initiate	initiate	VERB
cana-4932	279	18	user	user	NOUN
cana-4932	279	19	clustering	clustering	NOUN
cana-4932	279	20	,	,	PUNCT
cana-4932	279	21	it	it	PRON
cana-4932	279	22	is	be	AUX
cana-4932	279	23	necessary	necessary	ADJ
cana-4932	279	24	to	to	PART
cana-4932	279	25	designate	designate	VERB
cana-4932	279	26	one	one	NUM
cana-4932	279	27	user	user	NOUN
cana-4932	279	28	as	as	ADP
cana-4932	279	29	the	the	DET
cana-4932	279	30	cluster	cluster	NOUN
cana-4932	279	31	head	head	NOUN
cana-4932	279	32	for	for	ADP
cana-4932	279	33	each	each	DET
cana-4932	279	34	cluster	cluster	NOUN
cana-4932	279	35	.	.	PUNCT
cana-4932	280	1	the	the	DET
cana-4932	280	2	objective	objective	NOUN
cana-4932	280	3	of	of	ADP
cana-4932	280	4	this	this	DET
cana-4932	280	5	task	task	NOUN
cana-4932	280	6	is	be	AUX
cana-4932	280	7	to	to	PART
cana-4932	280	8	align	align	VERB
cana-4932	280	9	the	the	DET
cana-4932	280	10	beam	beam	NOUN
cana-4932	280	11	forming	form	VERB
cana-4932	280	12	direction	direction	NOUN
cana-4932	280	13	of	of	ADP
cana-4932	280	14	the	the	DET
cana-4932	280	15	array	array	NOUN
cana-4932	280	16	of	of	ADP
cana-4932	280	17	transmitter	transmitter	NOUN
cana-4932	280	18	antennas	antenna	NOUN
cana-4932	280	19	of	of	ADP
cana-4932	280	20	the	the	DET
cana-4932	280	21	base	base	NOUN
cana-4932	280	22	station	station	NOUN
cana-4932	280	23	towards	towards	ADP
cana-4932	280	24	the	the	DET
cana-4932	280	25	cluster	cluster	NOUN
cana-4932	280	26	head	head	NOUN
cana-4932	280	27	of	of	ADP
cana-4932	280	28	each	each	DET
cana-4932	280	29	cluster	cluster	NOUN
cana-4932	280	30	.	.	PUNCT
cana-4932	281	1	in	in	ADP
cana-4932	281	2	the	the	DET
cana-4932	281	3	previous	previous	ADJ
cana-4932	281	4	sections	section	NOUN
cana-4932	281	5	,	,	PUNCT
cana-4932	281	6	we	we	PRON
cana-4932	281	7	discussed	discuss	VERB
cana-4932	281	8	the	the	DET
cana-4932	281	9	chs	chs	NOUN
cana-4932	281	10	algorithm	algorithm	NOUN
cana-4932	281	11	for	for	ADP
cana-4932	281	12	selecting	select	VERB
cana-4932	281	13	cluster	cluster	NOUN
cana-4932	281	14	heads	head	NOUN
cana-4932	281	15	.	.	PUNCT
cana-4932	282	1	according	accord	VERB
cana-4932	282	2	to	to	ADP
cana-4932	282	3	this	this	DET
cana-4932	282	4	algorithm	algorithm	NOUN
cana-4932	282	5	,	,	PUNCT
cana-4932	282	6	user	user	NOUN
cana-4932	282	7	clustering	clustering	NOUN
cana-4932	282	8	is	be	AUX
cana-4932	282	9	achieved	achieve	VERB
cana-4932	282	10	based	base	VERB
cana-4932	282	11	on	on	ADP
cana-4932	282	12	the	the	DET
cana-4932	282	13	correlation	correlation	NOUN
cana-4932	282	14	between	between	ADP
cana-4932	282	15	the	the	DET
cana-4932	282	16	channels	channel	NOUN
cana-4932	282	17	of	of	ADP
cana-4932	282	18	the	the	DET
cana-4932	282	19	remaining	remain	VERB
cana-4932	282	20	users	user	NOUN
cana-4932	282	21	and	and	CCONJ
cana-4932	282	22	the	the	DET
cana-4932	282	23	cluster	cluster	NOUN
cana-4932	282	24	heads	head	NOUN
cana-4932	282	25	.	.	PUNCT
cana-4932	283	1	a	a	DET
cana-4932	283	2	cognitive	cognitive	ADJ
cana-4932	283	3	radio	radio	NOUN
cana-4932	283	4	network	network	NOUN
cana-4932	283	5	consists	consist	VERB
cana-4932	283	6	of	of	ADP
cana-4932	283	7	a	a	DET
cana-4932	283	8	number	number	NOUN
cana-4932	283	9	of	of	ADP
cana-4932	283	10	secondary	secondary	ADJ
cana-4932	283	11	users	user	NOUN
cana-4932	283	12	and	and	CCONJ
cana-4932	283	13	one	one	NUM
cana-4932	283	14	primary	primary	ADJ
cana-4932	283	15	user	user	NOUN
cana-4932	283	16	;	;	PUNCT
cana-4932	283	17	therefore	therefore	ADV
cana-4932	283	18	,	,	PUNCT
cana-4932	283	19	in	in	ADP
cana-4932	283	20	the	the	DET
cana-4932	283	21	context	context	NOUN
cana-4932	283	22	of	of	ADP
cana-4932	283	23	selecting	select	VERB
cana-4932	283	24	cluster	cluster	NOUN
cana-4932	283	25	heads	head	NOUN
cana-4932	283	26	,	,	PUNCT
cana-4932	283	27	attention	attention	NOUN
cana-4932	283	28	must	must	AUX
cana-4932	283	29	be	be	AUX
cana-4932	283	30	paid	pay	VERB
cana-4932	283	31	to	to	ADP
cana-4932	283	32	the	the	DET
cana-4932	283	33	fact	fact	NOUN
cana-4932	283	34	that	that	SCONJ
cana-4932	283	35	the	the	DET
cana-4932	283	36	remaining	remain	VERB
cana-4932	283	37	users	user	NOUN
cana-4932	283	38	who	who	PRON
cana-4932	283	39	are	be	AUX
cana-4932	283	40	around	around	ADP
cana-4932	283	41	the	the	DET
cana-4932	283	42	primary	primary	ADJ
cana-4932	283	43	user	user	NOUN
cana-4932	283	44	(	(	PUNCT
cana-4932	283	45	pu	pu	PROPN
cana-4932	283	46	)	)	PUNCT
cana-4932	283	47	and	and	CCONJ
cana-4932	283	48	meet	meet	VERB
cana-4932	283	49	the	the	DET
cana-4932	283	50	criteria	criterion	NOUN
cana-4932	283	51	for	for	ADP
cana-4932	283	52	becoming	become	VERB
cana-4932	283	53	cluster	cluster	NOUN
cana-4932	283	54	heads	head	NOUN
cana-4932	283	55	should	should	AUX
cana-4932	283	56	not	not	PART
cana-4932	283	57	be	be	AUX
cana-4932	283	58	chosen	choose	VERB
cana-4932	283	59	as	as	ADP
cana-4932	283	60	cluster	cluster	NOUN
cana-4932	283	61	heads	head	NOUN
cana-4932	283	62	in	in	ADP
cana-4932	283	63	order	order	NOUN
cana-4932	283	64	to	to	PART
cana-4932	283	65	have	have	AUX
cana-4932	283	66	the	the	DET
cana-4932	283	67	least	least	ADJ
cana-4932	283	68	impact	impact	NOUN
cana-4932	283	69	on	on	ADP
cana-4932	283	70	the	the	DET
cana-4932	283	71	pu	pu	PROPN
cana-4932	283	72	.	.	PROPN
cana-4932	284	1	as	as	SCONJ
cana-4932	284	2	mentioned	mention	VERB
cana-4932	284	3	in	in	ADP
cana-4932	284	4	the	the	DET
cana-4932	284	5	user	user	NOUN
cana-4932	284	6	clustering	clustering	NOUN
cana-4932	284	7	section	section	NOUN
cana-4932	284	8	,	,	PUNCT
cana-4932	284	9	to	to	PART
cana-4932	284	10	avoid	avoid	VERB
cana-4932	284	11	problem	problem	NOUN
cana-4932	284	12	complexity	complexity	NOUN
cana-4932	284	13	,	,	PUNCT
cana-4932	284	14	we	we	PRON
cana-4932	284	15	assign	assign	VERB
cana-4932	284	16	only	only	ADV
cana-4932	284	17	one	one	NUM
cana-4932	284	18	beam	beam	NOUN
cana-4932	284	19	to	to	ADP
cana-4932	284	20	each	each	DET
cana-4932	284	21	cluster	cluster	NOUN
cana-4932	284	22	.	.	PUNCT
cana-4932	285	1	since	since	SCONJ
cana-4932	285	2	we	we	PRON
cana-4932	285	3	use	use	VERB
cana-4932	285	4	zf	zf	PROPN
cana-4932	285	5	beamforming	beamforming	NOUN
cana-4932	285	6	method	method	NOUN
cana-4932	285	7	,	,	PUNCT
cana-4932	285	8	if	if	SCONJ
cana-4932	285	9	a	a	DET
cana-4932	285	10	user	user	NOUN
cana-4932	285	11	present	present	ADJ
cana-4932	285	12	around	around	ADP
cana-4932	285	13	the	the	DET
cana-4932	285	14	initial	initial	ADJ
cana-4932	285	15	user	user	NOUN
cana-4932	285	16	is	be	AUX
cana-4932	285	17	selected	select	VERB
cana-4932	285	18	as	as	ADP
cana-4932	285	19	the	the	DET
cana-4932	285	20	master	master	NOUN
cana-4932	285	21	user	user	NOUN
cana-4932	285	22	,	,	PUNCT
cana-4932	285	23	the	the	DET
cana-4932	285	24	beam	beam	NOUN
cana-4932	285	25	direction	direction	NOUN
cana-4932	285	26	focuses	focus	VERB
cana-4932	285	27	towards	towards	ADP
cana-4932	285	28	that	that	DET
cana-4932	285	29	user	user	NOUN
cana-4932	285	30	,	,	PUNCT
cana-4932	285	31	allowing	allow	VERB
cana-4932	285	32	them	they	PRON
cana-4932	285	33	to	to	PART
cana-4932	285	34	receive	receive	VERB
cana-4932	285	35	significant	significant	ADJ
cana-4932	285	36	benefits	benefit	NOUN
cana-4932	285	37	from	from	ADP
cana-4932	285	38	the	the	DET
cana-4932	285	39	antenna	antenna	NOUN
cana-4932	285	40	array	array	NOUN
cana-4932	285	41	.	.	PUNCT
cana-4932	286	1	consequently	consequently	ADV
cana-4932	286	2	,	,	PUNCT
cana-4932	286	3	the	the	DET
cana-4932	286	4	received	receive	VERB
cana-4932	286	5	signal	signal	NOUN
cana-4932	286	6	becomes	become	VERB
cana-4932	286	7	very	very	ADV
cana-4932	286	8	strong	strong	ADJ
cana-4932	286	9	,	,	PUNCT
cana-4932	286	10	enabling	enable	VERB
cana-4932	286	11	a	a	DET
cana-4932	286	12	substantial	substantial	ADJ
cana-4932	286	13	decrease	decrease	NOUN
cana-4932	286	14	in	in	ADP
cana-4932	286	15	antenna	antenna	NOUN
cana-4932	286	16	array	array	VERB
cana-4932	286	17	utilization	utilization	NOUN
cana-4932	286	18	towards	towards	ADP
cana-4932	286	19	the	the	DET
cana-4932	286	20	initial	initial	ADJ
cana-4932	286	21	user	user	NOUN
cana-4932	286	22	to	to	PART
cana-4932	286	23	prevent	prevent	VERB
cana-4932	286	24	interference	interference	NOUN
cana-4932	286	25	within	within	ADP
cana-4932	286	26	the	the	DET
cana-4932	286	27	master	master	NOUN
cana-4932	286	28	user	user	NOUN
cana-4932	286	29	cluster	cluster	NOUN
cana-4932	286	30	.	.	PUNCT
cana-4932	287	1	therefore	therefore	ADV
cana-4932	287	2	,	,	PUNCT
cana-4932	287	3	we	we	PRON
cana-4932	287	4	should	should	AUX
cana-4932	287	5	consider	consider	VERB
cana-4932	287	6	this	this	DET
cana-4932	287	7	approach	approach	NOUN
cana-4932	287	8	as	as	ADP
cana-4932	287	9	another	another	DET
cana-4932	287	10	proposed	propose	VERB
cana-4932	287	11	method	method	NOUN
cana-4932	287	12	in	in	ADP
cana-4932	287	13	the	the	DET
cana-4932	287	14	context	context	NOUN
cana-4932	287	15	of	of	ADP
cana-4932	287	16	investigating	investigate	VERB
cana-4932	287	17	the	the	DET
cana-4932	287	18	correlation	correlation	NOUN
cana-4932	287	19	of	of	ADP
cana-4932	287	20	the	the	DET
cana-4932	287	21	master	master	NOUN
cana-4932	287	22	channel	channel	NOUN
cana-4932	287	23	with	with	ADP
cana-4932	287	24	other	other	ADJ
cana-4932	287	25	lingering	linger	VERB
cana-4932	287	26	cognitive	cognitive	ADJ
cana-4932	287	27	users	user	NOUN
cana-4932	287	28	.	.	PUNCT
cana-4932	288	1	by	by	ADP
cana-4932	288	2	implementing	implement	VERB
cana-4932	288	3	this	this	DET
cana-4932	288	4	technique	technique	NOUN
cana-4932	288	5	,	,	PUNCT
cana-4932	288	6	when	when	SCONJ
cana-4932	288	7	calculating	calculate	VERB
cana-4932	288	8	the	the	DET
cana-4932	288	9	correlation	correlation	NOUN
cana-4932	288	10	of	of	ADP
cana-4932	288	11	users	user	NOUN
cana-4932	288	12	with	with	ADP
cana-4932	288	13	master	master	NOUN
cana-4932	288	14	clusters	cluster	NOUN
cana-4932	288	15	,	,	PUNCT
cana-4932	288	16	we	we	PRON
cana-4932	288	17	introduce	introduce	VERB
cana-4932	288	18	a	a	DET
cana-4932	288	19	new	new	ADJ
cana-4932	288	20	factor	factor	NOUN
cana-4932	288	21	to	to	PART
cana-4932	288	22	reduce	reduce	VERB
cana-4932	288	23	the	the	DET
cana-4932	288	24	impact	impact	NOUN
cana-4932	288	25	of	of	ADP
cana-4932	288	26	other	other	ADJ
cana-4932	288	27	cognitive	cognitive	ADJ
cana-4932	288	28	users	user	NOUN
cana-4932	288	29	on	on	ADP
cana-4932	288	30	the	the	DET
cana-4932	288	31	primary	primary	ADJ
cana-4932	288	32	user	user	NOUN
cana-4932	288	33	(	(	PUNCT
cana-4932	288	34	pu	pu	PROPN
cana-4932	288	35	)	)	PUNCT
cana-4932	288	36	.	.	PUNCT
cana-4932	289	1	furthermore	furthermore	ADV
cana-4932	289	2	,	,	PUNCT
cana-4932	289	3	based	base	VERB
cana-4932	289	4	on	on	ADP
cana-4932	289	5	the	the	DET
cana-4932	289	6	favorable	favorable	ADJ
cana-4932	289	7	outcomes	outcome	NOUN
cana-4932	289	8	of	of	ADP
cana-4932	289	9	utilizing	utilize	VERB
cana-4932	289	10	special	special	ADJ
cana-4932	289	11	channel	channel	NOUN
cana-4932	289	12	matrix	matrix	NOUN
cana-4932	289	13	values	value	NOUN
cana-4932	289	14	as	as	SCONJ
cana-4932	289	15	referenced	reference	VERB
cana-4932	289	16	in	in	ADP
cana-4932	289	17	[	[	X
cana-4932	289	18	62	62	NUM
cana-4932	289	19	]	]	PUNCT
cana-4932	289	20	,	,	PUNCT
cana-4932	289	21	when	when	SCONJ
cana-4932	289	22	assigning	assign	VERB
cana-4932	289	23	users	user	NOUN
cana-4932	289	24	to	to	ADP
cana-4932	289	25	each	each	DET
cana-4932	289	26	cluster	cluster	NOUN
cana-4932	289	27	,	,	PUNCT
cana-4932	289	28	we	we	PRON
cana-4932	289	29	consider	consider	VERB
cana-4932	289	30	the	the	DET
cana-4932	289	31	coefficient	coefficient	NOUN
cana-4932	289	32	of	of	ADP
cana-4932	289	33	correlation	correlation	NOUN
cana-4932	289	34	between	between	ADP
cana-4932	289	35	the	the	DET
cana-4932	289	36	eigenvector	eigenvector	NOUN
cana-4932	289	37	corresponding	correspond	VERB
cana-4932	289	38	to	to	ADP
cana-4932	289	39	the	the	DET
cana-4932	289	40	largest	large	ADJ
cana-4932	289	41	eigenvalue	eigenvalue	NOUN
cana-4932	289	42	of	of	ADP
cana-4932	289	43	the	the	DET
cana-4932	289	44	channel	channel	NOUN
cana-4932	289	45	matrix	matrix	NOUN
cana-4932	289	46	and	and	CCONJ
cana-4932	289	47	the	the	DET
cana-4932	289	48	correlation	correlation	NOUN
cana-4932	289	49	of	of	ADP
cana-4932	289	50	each	each	DET
cana-4932	289	51	user	user	NOUN
cana-4932	289	52	's	's	PART
cana-4932	289	53	channel	channel	NOUN
cana-4932	289	54	with	with	ADP
cana-4932	289	55	the	the	DET
cana-4932	289	56	target	target	NOUN
cana-4932	289	57	master	master	NOUN
cana-4932	289	58	cluster	cluster	NOUN
cana-4932	289	59	.	.	PUNCT
cana-4932	290	1	this	this	DET
cana-4932	290	2	approach	approach	NOUN
cana-4932	290	3	is	be	AUX
cana-4932	290	4	employed	employ	VERB
cana-4932	290	5	in	in	ADP
cana-4932	290	6	algorithm	algorithm	NOUN
cana-4932	290	7	1	1	NUM
cana-4932	290	8	as	as	SCONJ
cana-4932	290	9	described	describe	VERB
cana-4932	290	10	below	below	ADV
cana-4932	290	11	.	.	PUNCT
cana-4932	291	1	all	all	DET
cana-4932	291	2	inputs	input	NOUN
cana-4932	291	3	of	of	ADP
cana-4932	291	4	the	the	DET
cana-4932	291	5	algorithm	algorithm	NOUN
cana-4932	291	6	must	must	AUX
cana-4932	291	7	be	be	AUX
cana-4932	291	8	specified	specify	VERB
cana-4932	291	9	,	,	PUNCT
cana-4932	291	10	such	such	ADJ
cana-4932	291	11	as	as	ADP
cana-4932	291	12	the	the	DET
cana-4932	291	13	number	number	NOUN
cana-4932	291	14	of	of	ADP
cana-4932	291	15	users	user	NOUN
cana-4932	291	16	in	in	ADP
cana-4932	291	17	the	the	DET
cana-4932	291	18	system	system	NOUN
cana-4932	291	19	,	,	PUNCT
cana-4932	291	20	the	the	DET
cana-4932	291	21	channel	channel	NOUN
cana-4932	291	22	vector	vector	NOUN
cana-4932	291	23	of	of	ADP
cana-4932	291	24	each	each	DET
cana-4932	291	25	user	user	NOUN
cana-4932	291	26	,	,	PUNCT
cana-4932	291	27	the	the	DET
cana-4932	291	28	number	number	NOUN
cana-4932	291	29	of	of	ADP
cana-4932	291	30	clusters	cluster	NOUN
cana-4932	291	31	for	for	ADP
cana-4932	291	32	user	user	NOUN
cana-4932	291	33	clustering	clustering	NOUN
cana-4932	291	34	,	,	PUNCT
cana-4932	291	35	and	and	CCONJ
cana-4932	291	36	the	the	DET
cana-4932	291	37	initial	initial	ADJ
cana-4932	291	38	adaptive	adaptive	ADJ
cana-4932	291	39	threshold	threshold	NOUN
cana-4932	291	40	value	value	NOUN
cana-4932	291	41	,	,	PUNCT
cana-4932	291	42	denoted	denote	VERB
cana-4932	291	43	as	as	ADP
cana-4932	291	44	t.	t.	PROPN
cana-4932	291	45	additionally	additionally	ADV
cana-4932	291	46	,	,	PUNCT
cana-4932	291	47	set	set	VERB
cana-4932	291	48	represents	represent	VERB
cana-4932	291	49	the	the	DET
cana-4932	291	50	set	set	NOUN
cana-4932	291	51	of	of	ADP
cana-4932	291	52	users	user	NOUN
cana-4932	291	53	selected	select	VERB
cana-4932	291	54	as	as	ADP
cana-4932	291	55	cluster	cluster	NOUN
cana-4932	291	56	heads	head	NOUN
cana-4932	291	57	,	,	PUNCT
cana-4932	291	58	and	and	CCONJ
cana-4932	291	59	𝑆𝑒𝑡𝑐	𝑆𝑒𝑡𝑐	PROPN
cana-4932	291	60	denotes	denote	VERB
cana-4932	291	61	the	the	DET
cana-4932	291	62	set	set	NOUN
cana-4932	291	63	of	of	ADP
cana-4932	291	64	users	user	NOUN
cana-4932	291	65	that	that	PRON
cana-4932	291	66	are	be	AUX
cana-4932	291	67	candidates	candidate	NOUN
cana-4932	291	68	for	for	ADP
cana-4932	291	69	cluster	cluster	NOUN
cana-4932	291	70	communications	communication	NOUN
cana-4932	291	71	on	on	ADP
cana-4932	291	72	applied	apply	VERB
cana-4932	291	73	nonlinear	nonlinear	ADJ
cana-4932	291	74	analysis	analysis	NOUN
cana-4932	291	75	issn	issn	NOUN
cana-4932	291	76	:	:	PUNCT
cana-4932	291	77	1074	1074	NUM
cana-4932	291	78	-	-	PUNCT
cana-4932	291	79	133x	133x	NUM
cana-4932	291	80	vol	vol	VERB
cana-4932	291	81	32	32	NUM
cana-4932	291	82	no	no	NOUN
cana-4932	291	83	.	.	PUNCT
cana-4932	292	1	10s	10	NOUN
cana-4932	292	2	(	(	PUNCT
cana-4932	292	3	2025	2025	NUM
cana-4932	292	4	)	)	PUNCT
cana-4932	292	5	991	991	NUM
cana-4932	292	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	292	7	head	head	NOUN
cana-4932	292	8	selection	selection	NOUN
cana-4932	292	9	at	at	ADP
cana-4932	292	10	each	each	DET
cana-4932	292	11	stage	stage	NOUN
cana-4932	292	12	.	.	PUNCT
cana-4932	293	1	the	the	DET
cana-4932	293	2	algorithm	algorithm	NOUN
cana-4932	293	3	iterates	iterate	VERB
cana-4932	293	4	until	until	SCONJ
cana-4932	293	5	cluster	cluster	NOUN
cana-4932	293	6	heads	head	NOUN
cana-4932	293	7	are	be	AUX
cana-4932	293	8	determined	determine	VERB
cana-4932	293	9	for	for	ADP
cana-4932	293	10	all	all	DET
cana-4932	293	11	clusters	cluster	NOUN
cana-4932	293	12	,	,	PUNCT
cana-4932	293	13	meaning	mean	VERB
cana-4932	293	14	the	the	DET
cana-4932	293	15	number	number	NOUN
cana-4932	293	16	of	of	ADP
cana-4932	293	17	iterations	iteration	NOUN
cana-4932	293	18	is	be	AUX
cana-4932	293	19	proportional	proportional	ADJ
cana-4932	293	20	to	to	ADP
cana-4932	293	21	the	the	DET
cana-4932	293	22	number	number	NOUN
cana-4932	293	23	of	of	ADP
cana-4932	293	24	clusters	cluster	NOUN
cana-4932	293	25	considered	consider	VERB
cana-4932	293	26	.	.	PUNCT
cana-4932	294	1	ultimately	ultimately	ADV
cana-4932	294	2	,	,	PUNCT
cana-4932	294	3	in	in	ADP
cana-4932	294	4	the	the	DET
cana-4932	294	5	algorithm	algorithm	NOUN
cana-4932	294	6	output	output	NOUN
cana-4932	294	7	,	,	PUNCT
cana-4932	294	8	we	we	PRON
cana-4932	294	9	have	have	VERB
cana-4932	294	10	a	a	DET
cana-4932	294	11	number	number	NOUN
cana-4932	294	12	of	of	ADP
cana-4932	294	13	users	user	NOUN
cana-4932	294	14	equal	equal	ADJ
cana-4932	294	15	to	to	ADP
cana-4932	294	16	the	the	DET
cana-4932	294	17	number	number	NOUN
cana-4932	294	18	of	of	ADP
cana-4932	294	19	clusters	cluster	NOUN
cana-4932	294	20	selected	select	VERB
cana-4932	294	21	as	as	ADP
cana-4932	294	22	cluster	cluster	NOUN
cana-4932	294	23	headsets	headset	NOUN
cana-4932	294	24	for	for	ADP
cana-4932	294	25	the	the	DET
cana-4932	294	26	proposed	propose	VERB
cana-4932	294	27	crmn	crmn	PROPN
cana-4932	294	28	network	network	NOUN
cana-4932	294	29	.	.	PUNCT
cana-4932	295	1	it	it	PRON
cana-4932	295	2	is	be	AUX
cana-4932	295	3	worth	worth	ADJ
cana-4932	295	4	mentioning	mention	VERB
cana-4932	295	5	again	again	ADV
cana-4932	295	6	that	that	SCONJ
cana-4932	295	7	at	at	ADP
cana-4932	295	8	each	each	DET
cana-4932	295	9	stage	stage	NOUN
cana-4932	295	10	the	the	DET
cana-4932	295	11	proposed	propose	VERB
cana-4932	295	12	algorithm	algorithm	NOUN
cana-4932	295	13	is	be	AUX
cana-4932	295	14	executed	execute	VERB
cana-4932	295	15	,	,	PUNCT
cana-4932	295	16	the	the	DET
cana-4932	295	17	degree	degree	NOUN
cana-4932	295	18	of	of	ADP
cana-4932	295	19	correlation	correlation	NOUN
cana-4932	295	20	between	between	ADP
cana-4932	295	21	each	each	DET
cana-4932	295	22	user	user	NOUN
cana-4932	295	23	's	's	PART
cana-4932	295	24	channel	channel	NOUN
cana-4932	295	25	and	and	CCONJ
cana-4932	295	26	the	the	DET
cana-4932	295	27	channels	channel	NOUN
cana-4932	295	28	of	of	ADP
cana-4932	295	29	cluster	cluster	NOUN
cana-4932	295	30	heads	head	NOUN
cana-4932	295	31	selected	select	VERB
cana-4932	295	32	in	in	ADP
cana-4932	295	33	the	the	DET
cana-4932	295	34	previous	previous	ADJ
cana-4932	295	35	stage	stage	NOUN
cana-4932	295	36	is	be	AUX
cana-4932	295	37	determined	determine	VERB
cana-4932	295	38	by	by	ADP
cana-4932	295	39	calculating	calculate	VERB
cana-4932	295	40	the	the	DET
cana-4932	295	41	inner	inner	ADJ
cana-4932	295	42	product	product	NOUN
cana-4932	295	43	of	of	ADP
cana-4932	295	44	their	their	PRON
cana-4932	295	45	normalized	normalize	VERB
cana-4932	295	46	channel	channel	NOUN
cana-4932	295	47	vectors	vector	NOUN
cana-4932	295	48	.	.	PUNCT
cana-4932	296	1	algorithm	algorithm	NOUN
cana-4932	296	2	1	1	NUM
cana-4932	296	3	:	:	PUNCT
cana-4932	296	4	selecting	select	VERB
cana-4932	296	5	the	the	DET
cana-4932	296	6	cluster	cluster	NOUN
cana-4932	296	7	head	head	NOUN
cana-4932	296	8	for	for	ADP
cana-4932	296	9	all	all	DET
cana-4932	296	10	clusters	cluster	NOUN
cana-4932	296	11	with	with	ADP
cana-4932	296	12	the	the	DET
cana-4932	296	13	least	least	ADJ
cana-4932	296	14	impact	impact	NOUN
cana-4932	296	15	on	on	ADP
cana-4932	296	16	pu	pu	PROPN
cana-4932	296	17	in	in	ADP
cana-4932	296	18	the	the	DET
cana-4932	296	19	crmn	crmn	ADJ
cana-4932	296	20	system	system	NOUN
cana-4932	296	21	the	the	DET
cana-4932	296	22	inputs	input	NOUN
cana-4932	296	23	of	of	ADP
cana-4932	296	24	the	the	DET
cana-4932	296	25	algorithm	algorithm	NOUN
cana-4932	296	26	number	number	NOUN
cana-4932	296	27	of	of	ADP
cana-4932	296	28	users	user	NOUN
cana-4932	296	29	=	=	SYM
cana-4932	296	30	𝐾	𝐾	NOUN
cana-4932	296	31	,	,	PUNCT
cana-4932	296	32	number	number	NOUN
cana-4932	296	33	of	of	ADP
cana-4932	296	34	clusters	cluster	NOUN
cana-4932	296	35	=	=	SYM
cana-4932	296	36	𝐺	𝐺	PROPN
cana-4932	296	37	;	;	PUNCT
cana-4932	296	38	user	user	NOUN
cana-4932	296	39	channel	channel	PROPN
cana-4932	296	40	vector=𝒉𝑘	vector=𝒉𝑘	PROPN
cana-4932	296	41	,	,	PUNCT
cana-4932	296	42	𝑘	𝑘	X
cana-4932	296	43	=	=	NOUN
cana-4932	296	44	1	1	NUM
cana-4932	296	45	.2	.2	NUM
cana-4932	296	46	.	.	PUNCT
cana-4932	297	1	…	…	PUNCT
cana-4932	297	2	.	.	PUNCT
cana-4932	298	1	𝐾	𝐾	NOUN
cana-4932	298	2	;	;	PUNCT
cana-4932	298	3	initial	initial	ADJ
cana-4932	298	4	threshold	threshold	NOUN
cana-4932	298	5	=	=	SYM
cana-4932	298	6	𝑇=	𝑇=	PROPN
cana-4932	298	7	0	0	NUM
cana-4932	298	8	,	,	PUNCT
cana-4932	298	9	𝑃𝑟𝑖𝑚𝑎𝑟𝑦	𝑃𝑟𝑖𝑚𝑎𝑟𝑦	PROPN
cana-4932	298	10	𝑢𝑠𝑒𝑟	𝑢𝑠𝑒𝑟	ADJ
cana-4932	298	11	𝑐ℎ𝑎𝑛𝑛𝑒𝑙	𝑐ℎ𝑎𝑛𝑛𝑒𝑙	NOUN
cana-4932	298	12	𝑐𝑜𝑒𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑡=𝛽=0.5	𝑐𝑜𝑒𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑡=𝛽=0.5	VERB
cana-4932	298	13	algorithm	algorithm	NOUN
cana-4932	298	14	implementation	implementation	NOUN
cana-4932	298	15	steps	step	NOUN
cana-4932	298	16	𝐶𝑙𝑢𝑠𝑡𝑒𝑟𝑠	𝐶𝑙𝑢𝑠𝑡𝑒𝑟𝑠	PROPN
cana-4932	298	17	𝐻𝑒𝑎𝑑	𝐻𝑒𝑎𝑑	PROPN
cana-4932	298	18	𝑆𝑒𝑡∶	𝑆𝑒𝑡∶	VERB
cana-4932	298	19	𝑆𝑒𝑡	𝑆𝑒𝑡	PROPN
cana-4932	298	20	1𝑎𝑘	1𝑎𝑘	NOUN
cana-4932	298	21	=	=	PUNCT
cana-4932	299	1	‖ℎ𝑘‖2	‖ℎ𝑘‖2	NOUN
cana-4932	299	2	;	;	PUNCT
cana-4932	299	3	%	%	NOUN
cana-4932	299	4	users	user	NOUN
cana-4932	299	5	channel	channel	PROPN
cana-4932	299	6	vector	vector	NOUN
cana-4932	299	7	’s	’s	PART
cana-4932	299	8	2	2	NUM
cana-4932	299	9	-	-	PUNCT
cana-4932	299	10	norm	norm	NOUN
cana-4932	299	11	2𝐴	2𝐴	NOUN
cana-4932	299	12	=	=	PUNCT
cana-4932	300	1	[	[	PUNCT
cana-4932	300	2	𝑎1	𝑎1	INTJ
cana-4932	300	3	,	,	PUNCT
cana-4932	300	4	𝑎2	𝑎2	NOUN
cana-4932	300	5	,	,	PUNCT
cana-4932	300	6	…	…	PUNCT
cana-4932	300	7	,	,	PUNCT
cana-4932	300	8	𝑎𝐾	𝑎𝐾	PROPN
cana-4932	300	9	]	]	PUNCT
cana-4932	300	10	;	;	PUNCT
cana-4932	300	11	3ℎ̃𝑘	3ℎ̃𝑘	X
cana-4932	300	12	=	=	SYM
cana-4932	300	13	ℎ𝑘/𝑎𝑘	ℎ𝑘/𝑎𝑘	NUM
cana-4932	300	14	;	;	PUNCT
cana-4932	300	15	%	%	NOUN
cana-4932	301	1	secondary	secondary	ADJ
cana-4932	301	2	users	user	NOUN
cana-4932	301	3	channel	channel	PROPN
cana-4932	301	4	vector	vector	PROPN
cana-4932	301	5	’s	’s	PART
cana-4932	301	6	normalization	normalization	NOUN
cana-4932	301	7	4𝐴𝑠𝑜𝑟𝑡	4𝐴𝑠𝑜𝑟𝑡	NOUN
cana-4932	301	8	=	=	PUNCT
cana-4932	301	9	𝑠𝑜𝑟𝑡	𝑠𝑜𝑟𝑡	NOUN
cana-4932	301	10	(	(	PUNCT
cana-4932	301	11	𝐴	𝐴	PROPN
cana-4932	301	12	,	,	PUNCT
cana-4932	301	13	′	′	NUM
cana-4932	301	14	𝑑𝑒𝑠𝑐𝑒𝑛𝑑	𝑑𝑒𝑠𝑐𝑒𝑛𝑑	ADJ
cana-4932	301	15	′	′	NUM
cana-4932	301	16	)	)	PUNCT
cana-4932	301	17	;	;	PUNCT
cana-4932	301	18	%	%	NOUN
cana-4932	301	19	users	user	NOUN
cana-4932	301	20	ordering	order	VERB
cana-4932	301	21	from	from	ADP
cana-4932	301	22	strong	strong	ADJ
cana-4932	301	23	to	to	PART
cana-4932	301	24	weak	weak	ADJ
cana-4932	301	25	5𝑆𝑒𝑡=𝐴𝑠𝑜𝑟𝑡	5𝑆𝑒𝑡=𝐴𝑠𝑜𝑟𝑡	PROPN
cana-4932	301	26	(	(	PUNCT
cana-4932	301	27	1	1	NUM
cana-4932	301	28	)	)	PUNCT
cana-4932	301	29	;	;	PUNCT
cana-4932	301	30	6𝑆𝑒𝑡𝑐	6𝑆𝑒𝑡𝑐	NUM
cana-4932	301	31	=	=	SYM
cana-4932	301	32	𝐴𝑠𝑜𝑟𝑡	𝐴𝑠𝑜𝑟𝑡	PROPN
cana-4932	301	33	/	/	SYM
cana-4932	301	34	𝛤	𝛤	PROPN
cana-4932	301	35	;	;	PUNCT
cana-4932	301	36	7ω	7ω	NOUN
cana-4932	301	37	=	=	SYM
cana-4932	301	38	φ	φ	PROPN
cana-4932	301	39	;	;	PUNCT
cana-4932	301	40	8𝑔=2	8𝑔=2	NUM
cana-4932	301	41	;	;	PUNCT
cana-4932	301	42	9𝐰𝐡𝐢𝐥𝐞	9𝐰𝐡𝐢𝐥𝐞	NUM
cana-4932	301	43	𝑔	𝑔	PROPN
cana-4932	301	44	≤	≤	PROPN
cana-4932	301	45	𝐺	𝐺	NOUN
cana-4932	301	46	10𝐢𝐟	10𝐢𝐟	ADJ
cana-4932	301	47	𝛺	𝛺	PROPN
cana-4932	301	48	=	=	NOUN
cana-4932	301	49	=	=	SYM
cana-4932	301	50	𝛷	𝛷	NOUN
cana-4932	301	51	11𝐰𝐡𝐢𝐥𝐞	11𝐰𝐡𝐢𝐥𝐞	NUM
cana-4932	301	52	𝛺	𝛺	PROPN
cana-4932	301	53	=	=	SYM
cana-4932	301	54	=	=	SYM
cana-4932	301	55	𝛷	𝛷	NOUN
cana-4932	301	56	12	12	NUM
cana-4932	301	57	𝑇	𝑇	PROPN
cana-4932	301	58	=	=	PUNCT
cana-4932	301	59	𝑇	𝑇	PROPN
cana-4932	301	60	+	+	CCONJ
cana-4932	301	61	1−𝑇	1−𝑇	NUM
cana-4932	301	62	10	10	NUM
cana-4932	301	63	;	;	PUNCT
cana-4932	301	64	%	%	NOUN
cana-4932	301	65	increase	increase	VERB
cana-4932	301	66	adaptive	adaptive	ADJ
cana-4932	301	67	threshold	threshold	NOUN
cana-4932	301	68	level	level	NOUN
cana-4932	301	69	13ω	13ω	NOUN
cana-4932	301	70	=	=	SYM
cana-4932	301	71	{	{	PUNCT
cana-4932	301	72	𝑖	𝑖	SYM
cana-4932	301	73	∈	∈	PROPN
cana-4932	302	1	𝑆𝑒𝑡𝑐	𝑆𝑒𝑡𝑐	ADJ
cana-4932	302	2	||𝒆𝒊𝒈𝒗𝒆𝒄	||𝒆𝒊𝒈𝒗𝒆𝒄	NOUN
cana-4932	302	3	𝒉𝒊	𝒉𝒊	AUX
cana-4932	302	4	𝑯.	𝑯.	NOUN
cana-4932	302	5	𝒆𝒊𝒈𝒗𝒆𝒄	𝒆𝒊𝒈𝒗𝒆𝒄	VERB
cana-4932	302	6	𝒉𝒋|	𝒉𝒋|	PROPN
cana-4932	302	7	+	+	PUNCT
cana-4932	303	1	𝜷|	𝜷|	PROPN
cana-4932	303	2	�	�	PROPN
cana-4932	303	3	̃	̃	PROPN
cana-4932	303	4	�	�	PROPN
cana-4932	303	5	𝒊	𝒊	X
cana-4932	303	6	𝑯	𝑯	PROPN
cana-4932	303	7	�	�	PROPN
cana-4932	303	8	̃	̃	NOUN
cana-4932	303	9	�	�	PROPN
cana-4932	303	10	𝒑𝒖	𝒑𝒖	ADP
cana-4932	303	11	𝑻	𝑻	NOUN
cana-4932	303	12	|	|	ADV
cana-4932	303	13	<	<	X
cana-4932	303	14	𝛿	𝛿	X
cana-4932	303	15	.	.	PUNCT
cana-4932	303	16	∀𝑗	∀𝑗	NOUN
cana-4932	303	17	∈	∈	PROPN
cana-4932	303	18	𝑆𝑒𝑡	𝑆𝑒𝑡	PROPN
cana-4932	303	19	}	}	PUNCT
cana-4932	303	20	;	;	PUNCT
cana-4932	303	21	14-𝐞𝐧𝐝	14-𝐞𝐧𝐝	NUM
cana-4932	303	22	𝐰𝐡𝐢𝐥𝐞	𝐰𝐡𝐢𝐥𝐞	PROPN
cana-4932	303	23	15-𝐞𝐧𝐝	15-𝐞𝐧𝐝	PROPN
cana-4932	303	24	𝐢𝐟	𝐢𝐟	PROPN
cana-4932	303	25	communications	communication	NOUN
cana-4932	303	26	on	on	ADP
cana-4932	303	27	applied	apply	VERB
cana-4932	303	28	nonlinear	nonlinear	ADJ
cana-4932	303	29	analysis	analysis	NOUN
cana-4932	303	30	issn	issn	NOUN
cana-4932	303	31	:	:	PUNCT
cana-4932	303	32	1074	1074	NUM
cana-4932	303	33	-	-	PUNCT
cana-4932	303	34	133x	133x	NUM
cana-4932	303	35	vol	vol	VERB
cana-4932	303	36	32	32	NUM
cana-4932	303	37	no	no	NOUN
cana-4932	303	38	.	.	PUNCT
cana-4932	304	1	10s	10	NOUN
cana-4932	304	2	(	(	PUNCT
cana-4932	304	3	2025	2025	NUM
cana-4932	304	4	)	)	PUNCT
cana-4932	304	5	992	992	NUM
cana-4932	304	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	304	7	16ω	16ω	X
cana-4932	304	8	=	=	SYM
cana-4932	304	9	{	{	PUNCT
cana-4932	304	10	𝑖	𝑖	SYM
cana-4932	304	11	∈	∈	PROPN
cana-4932	305	1	𝑆𝑒𝑡𝑐	𝑆𝑒𝑡𝑐	ADJ
cana-4932	305	2	||𝒆𝒊𝒈𝒗𝒆𝒄	||𝒆𝒊𝒈𝒗𝒆𝒄	NOUN
cana-4932	305	3	𝒉𝒊	𝒉𝒊	AUX
cana-4932	305	4	𝑯.	𝑯.	NOUN
cana-4932	305	5	𝒆𝒊𝒈𝒗𝒆𝒄	𝒆𝒊𝒈𝒗𝒆𝒄	VERB
cana-4932	305	6	𝒉𝒋|	𝒉𝒋|	PROPN
cana-4932	305	7	+	+	PUNCT
cana-4932	306	1	𝜷|	𝜷|	PROPN
cana-4932	306	2	�	�	PROPN
cana-4932	306	3	̃	̃	PROPN
cana-4932	306	4	�	�	PROPN
cana-4932	306	5	𝒊	𝒊	X
cana-4932	306	6	𝑯	𝑯	PROPN
cana-4932	306	7	�	�	PROPN
cana-4932	306	8	̃	̃	NOUN
cana-4932	306	9	�	�	PROPN
cana-4932	306	10	𝒑𝒖	𝒑𝒖	ADP
cana-4932	306	11	𝑻	𝑻	NOUN
cana-4932	306	12	|	|	ADV
cana-4932	306	13	<	<	X
cana-4932	306	14	𝛿	𝛿	X
cana-4932	306	15	.	.	PUNCT
cana-4932	306	16	∀𝑗	∀𝑗	NOUN
cana-4932	306	17	∈	∈	PROPN
cana-4932	306	18	𝑆𝑒𝑡	𝑆𝑒𝑡	PROPN
cana-4932	306	19	}	}	PUNCT
cana-4932	306	20	;	;	PUNCT
cana-4932	307	1	17𝑆𝑒𝑡=𝑆𝑒𝑡	17𝑆𝑒𝑡=𝑆𝑒𝑡	PRON
cana-4932	307	2	∪	∪	NOUN
cana-4932	307	3	ω	ω	X
cana-4932	307	4	(	(	PUNCT
cana-4932	307	5	1	1	NUM
cana-4932	307	6	)	)	PUNCT
cana-4932	307	7	;	;	PUNCT
cana-4932	307	8	18𝑆𝑒𝑡𝑐=o/𝑆𝑒𝑡	18𝑆𝑒𝑡𝑐=o/𝑆𝑒𝑡	NUM
cana-4932	307	9	;	;	PUNCT
cana-4932	307	10	19ω=	19ω=	NUM
cana-4932	307	11	φ	φ	NUM
cana-4932	307	12	;	;	PUNCT
cana-4932	307	13	20𝑇=	20𝑇=	NUM
cana-4932	307	14	0	0	NUM
cana-4932	307	15	;	;	PUNCT
cana-4932	307	16	21𝑔=𝑔+1	21𝑔=𝑔+1	NUM
cana-4932	307	17	;	;	PUNCT
cana-4932	307	18	22𝐞𝐧𝐝	22𝐞𝐧𝐝	PROPN
cana-4932	307	19	𝐰𝐡𝐢𝐥𝐞	𝐰𝐡𝐢𝐥𝐞	PROPN
cana-4932	307	20	23𝐫𝐞𝐭𝐮𝐫𝐧	23𝐫𝐞𝐭𝐮𝐫𝐧	PROPN
cana-4932	308	1	𝑆𝑒𝑡	𝑆𝑒𝑡	PROPN
cana-4932	308	2	.	.	PUNCT
cana-4932	309	1	termination	termination	NOUN
cana-4932	309	2	of	of	ADP
cana-4932	309	3	the	the	DET
cana-4932	309	4	algorithm1	algorithm1	NOUN
cana-4932	309	5	assigning	assign	VERB
cana-4932	309	6	users	user	NOUN
cana-4932	309	7	to	to	ADP
cana-4932	309	8	clusters	cluster	NOUN
cana-4932	309	9	after	after	ADP
cana-4932	309	10	selecting	select	VERB
cana-4932	309	11	the	the	DET
cana-4932	309	12	cluster	cluster	NOUN
cana-4932	309	13	heads	head	NOUN
cana-4932	309	14	,	,	PUNCT
cana-4932	309	15	user	user	NOUN
cana-4932	309	16	clustering	clustering	NOUN
cana-4932	309	17	is	be	AUX
cana-4932	309	18	performed	perform	VERB
cana-4932	309	19	.	.	PUNCT
cana-4932	310	1	all	all	DET
cana-4932	310	2	remaining	remain	VERB
cana-4932	310	3	users	user	NOUN
cana-4932	310	4	,	,	PUNCT
cana-4932	310	5	except	except	SCONJ
cana-4932	310	6	for	for	ADP
cana-4932	310	7	the	the	DET
cana-4932	310	8	cluster	cluster	NOUN
cana-4932	310	9	heads	head	NOUN
cana-4932	310	10	that	that	PRON
cana-4932	310	11	have	have	AUX
cana-4932	310	12	already	already	ADV
cana-4932	310	13	been	be	AUX
cana-4932	310	14	selected	select	VERB
cana-4932	310	15	,	,	PUNCT
cana-4932	310	16	must	must	AUX
cana-4932	310	17	be	be	AUX
cana-4932	310	18	assigned	assign	VERB
cana-4932	310	19	to	to	ADP
cana-4932	310	20	one	one	NUM
cana-4932	310	21	of	of	ADP
cana-4932	310	22	the	the	DET
cana-4932	310	23	clusters	cluster	NOUN
cana-4932	310	24	related	relate	VERB
cana-4932	310	25	to	to	ADP
cana-4932	310	26	the	the	DET
cana-4932	310	27	chosen	choose	VERB
cana-4932	310	28	cluster	cluster	NOUN
cana-4932	310	29	heads	head	NOUN
cana-4932	310	30	.	.	PUNCT
cana-4932	311	1	user	user	NOUN
cana-4932	311	2	clustering	clustering	NOUN
cana-4932	311	3	is	be	AUX
cana-4932	311	4	based	base	VERB
cana-4932	311	5	on	on	ADP
cana-4932	311	6	the	the	DET
cana-4932	311	7	correlation	correlation	NOUN
cana-4932	311	8	coefficient₁	coefficient₁	NOUN
cana-4932	311	9	of	of	ADP
cana-4932	311	10	each	each	DET
cana-4932	311	11	user	user	NOUN
cana-4932	311	12	with	with	ADP
cana-4932	311	13	the	the	DET
cana-4932	311	14	selected	select	VERB
cana-4932	311	15	cluster	cluster	NOUN
cana-4932	311	16	heads	head	NOUN
cana-4932	311	17	[	[	X
cana-4932	311	18	66	66	NUM
cana-4932	311	19	]	]	PUNCT
cana-4932	311	20	.	.	PUNCT
cana-4932	312	1	according	accord	VERB
cana-4932	312	2	to	to	ADP
cana-4932	312	3	the	the	DET
cana-4932	312	4	following	follow	VERB
cana-4932	312	5	relationship	relationship	NOUN
cana-4932	312	6	,	,	PUNCT
cana-4932	312	7	which	which	PRON
cana-4932	312	8	represents	represent	VERB
cana-4932	312	9	a	a	DET
cana-4932	312	10	definition	definition	NOUN
cana-4932	312	11	of	of	ADP
cana-4932	312	12	the	the	DET
cana-4932	312	13	correlation	correlation	NOUN
cana-4932	312	14	coefficient	coefficient	NOUN
cana-4932	312	15	,	,	PUNCT
cana-4932	312	16	the	the	DET
cana-4932	312	17	maximum	maximum	ADJ
cana-4932	312	18	value	value	NOUN
cana-4932	312	19	of	of	ADP
cana-4932	312	20	this	this	DET
cana-4932	312	21	coefficient	coefficient	NOUN
cana-4932	312	22	is	be	AUX
cana-4932	312	23	set	set	VERB
cana-4932	312	24	to	to	ADP
cana-4932	312	25	1	1	NUM
cana-4932	312	26	.	.	PUNCT
cana-4932	312	27	assigning	assign	VERB
cana-4932	312	28	m	m	PROPN
cana-4932	312	29	-	-	PUNCT
cana-4932	312	30	th	th	VERB
cana-4932	312	31	user	user	NOUN
cana-4932	312	32	to	to	PART
cana-4932	312	33	cluster	cluster	VERB
cana-4932	312	34	�	�	PROPN
cana-4932	312	35	̃	̃	PROPN
cana-4932	312	36	�	�	PROPN
cana-4932	312	37	in	in	ADP
cana-4932	312	38	such	such	DET
cana-4932	312	39	a	a	DET
cana-4932	312	40	way	way	NOUN
cana-4932	312	41	that	that	PRON
cana-4932	312	42	the	the	DET
cana-4932	312	43	following	follow	VERB
cana-4932	312	44	relationship	relationship	NOUN
cana-4932	312	45	holds	hold	VERB
cana-4932	312	46	:	:	PUNCT
cana-4932	312	47	�	�	PROPN
cana-4932	312	48	̃	̃	PROPN
cana-4932	312	49	�	�	NOUN
cana-4932	312	50	=	=	SYM
cana-4932	312	51	argmax	argmax	PRON
cana-4932	312	52	𝑔	𝑔	NOUN
cana-4932	312	53	|𝒆𝒊𝒈𝒗𝒆𝒄	|𝒆𝒊𝒈𝒗𝒆𝒄	ADJ
cana-4932	312	54	𝒉𝒎	𝒉𝒎	X
cana-4932	312	55	𝑯	𝑯	PROPN
cana-4932	312	56	.	.	PUNCT
cana-4932	313	1	𝒆𝒊𝒈𝒗𝒆𝒄	𝒆𝒊𝒈𝒗𝒆𝒄	NOUN
cana-4932	313	2	𝒉𝒔𝒆𝒕(𝒈)|	𝒉𝒔𝒆𝒕(𝒈)|	NOUN
cana-4932	313	3	‖𝒆𝒊𝒈𝒗𝒆𝒄	‖𝒆𝒊𝒈𝒗𝒆𝒄	VERB
cana-4932	313	4	𝒉𝒎‖2	𝒉𝒎‖2	PROPN
cana-4932	313	5	∙	∙	PROPN
cana-4932	313	6	‖𝒊𝒈𝒗𝒆𝒄	‖𝒊𝒈𝒗𝒆𝒄	NOUN
cana-4932	313	7	𝒉𝒔𝒆𝒕(𝒈)‖2	𝒉𝒔𝒆𝒕(𝒈)‖2	PROPN
cana-4932	314	1	𝑔	𝑔	PROPN
cana-4932	314	2	∈	∈	PROPN
cana-4932	314	3	{	{	PUNCT
cana-4932	314	4	1.2	1.2	NUM
cana-4932	314	5	.	.	PUNCT
cana-4932	314	6	.⋯	.⋯	VERB
cana-4932	314	7	.	.	PUNCT
cana-4932	315	1	𝐺	𝐺	NOUN
cana-4932	315	2	}	}	PUNCT
cana-4932	315	3	(	(	PUNCT
cana-4932	315	4	36	36	NUM
cana-4932	315	5	-	-	SYM
cana-4932	315	6	3	3	NUM
cana-4932	315	7	)	)	PUNCT
cana-4932	315	8	according	accord	VERB
cana-4932	315	9	to	to	ADP
cana-4932	315	10	equation	equation	NOUN
cana-4932	315	11	(	(	PUNCT
cana-4932	315	12	36	36	NUM
cana-4932	315	13	-	-	SYM
cana-4932	315	14	3	3	NUM
cana-4932	315	15	)	)	PUNCT
cana-4932	315	16	,	,	PUNCT
cana-4932	315	17	for	for	ADP
cana-4932	315	18	clustering	cluster	VERB
cana-4932	315	19	users	user	NOUN
cana-4932	315	20	,	,	PUNCT
cana-4932	315	21	correlation	correlation	NOUN
cana-4932	315	22	coefficients	coefficient	NOUN
cana-4932	315	23	of	of	ADP
cana-4932	315	24	the	the	DET
cana-4932	315	25	desired	desire	VERB
cana-4932	315	26	user	user	NOUN
cana-4932	315	27	channel	channel	PROPN
cana-4932	315	28	m	m	PROPN
cana-4932	315	29	,	,	PUNCT
cana-4932	315	30	who	who	PRON
cana-4932	315	31	is	be	AUX
cana-4932	315	32	not	not	PART
cana-4932	315	33	a	a	DET
cana-4932	315	34	member	member	NOUN
cana-4932	315	35	of	of	ADP
cana-4932	315	36	set	set	NOUN
cana-4932	315	37	,	,	PUNCT
cana-4932	315	38	with	with	SCONJ
cana-4932	315	39	each	each	PRON
cana-4932	315	40	of	of	ADP
cana-4932	315	41	the	the	DET
cana-4932	315	42	sub	sub	NOUN
cana-4932	315	43	-	-	NOUN
cana-4932	315	44	clusters	cluster	NOUN
cana-4932	315	45	selected	select	VERB
cana-4932	315	46	in	in	ADP
cana-4932	315	47	the	the	DET
cana-4932	315	48	previous	previous	ADJ
cana-4932	315	49	stage	stage	NOUN
cana-4932	315	50	are	be	AUX
cana-4932	315	51	separately	separately	ADV
cana-4932	315	52	calculated	calculate	VERB
cana-4932	315	53	.	.	PUNCT
cana-4932	316	1	following	follow	VERB
cana-4932	316	2	this	this	DET
cana-4932	316	3	approach	approach	NOUN
cana-4932	316	4	,	,	PUNCT
cana-4932	316	5	all	all	DET
cana-4932	316	6	users	user	NOUN
cana-4932	316	7	present	present	ADJ
cana-4932	316	8	in	in	ADP
cana-4932	316	9	a	a	DET
cana-4932	316	10	specific	specific	ADJ
cana-4932	316	11	cluster	cluster	NOUN
cana-4932	316	12	will	will	AUX
cana-4932	316	13	have	have	VERB
cana-4932	316	14	high	high	ADJ
cana-4932	316	15	channel	channel	NOUN
cana-4932	316	16	correlation	correlation	NOUN
cana-4932	316	17	coefficients	coefficient	NOUN
cana-4932	316	18	with	with	ADP
cana-4932	316	19	each	each	DET
cana-4932	316	20	other	other	ADJ
cana-4932	316	21	,	,	PUNCT
cana-4932	316	22	while	while	SCONJ
cana-4932	316	23	on	on	ADP
cana-4932	316	24	the	the	DET
cana-4932	316	25	other	other	ADJ
cana-4932	316	26	hand	hand	NOUN
cana-4932	316	27	,	,	PUNCT
cana-4932	316	28	users	user	NOUN
cana-4932	316	29	in	in	ADP
cana-4932	316	30	other	other	ADJ
cana-4932	316	31	clusters	cluster	NOUN
cana-4932	316	32	will	will	AUX
cana-4932	316	33	have	have	VERB
cana-4932	316	34	lower	low	ADJ
cana-4932	316	35	channel	channel	NOUN
cana-4932	316	36	correlation	correlation	NOUN
cana-4932	316	37	coefficients	coefficient	NOUN
cana-4932	316	38	with	with	ADP
cana-4932	316	39	each	each	DET
cana-4932	316	40	other	other	ADJ
cana-4932	316	41	.	.	PUNCT
cana-4932	317	1	therefore	therefore	ADV
cana-4932	317	2	,	,	PUNCT
cana-4932	317	3	this	this	DET
cana-4932	317	4	method	method	NOUN
cana-4932	317	5	efficiently	efficiently	ADV
cana-4932	317	6	helps	help	VERB
cana-4932	317	7	eliminate	eliminate	VERB
cana-4932	317	8	interference	interference	NOUN
cana-4932	317	9	signals	signal	NOUN
cana-4932	317	10	between	between	ADP
cana-4932	317	11	clusters	cluster	NOUN
cana-4932	317	12	.	.	PUNCT
cana-4932	318	1	according	accord	VERB
cana-4932	318	2	to	to	ADP
cana-4932	318	3	this	this	DET
cana-4932	318	4	equation	equation	NOUN
cana-4932	318	5	,	,	PUNCT
cana-4932	318	6	the	the	DET
cana-4932	318	7	user	user	NOUN
cana-4932	318	8	channel	channel	NOUN
cana-4932	318	9	cluster	cluster	NOUN
cana-4932	318	10	matrix	matrix	NOUN
cana-4932	318	11	is	be	AUX
cana-4932	318	12	computed	compute	VERB
cana-4932	318	13	using	use	VERB
cana-4932	318	14	the	the	DET
cana-4932	318	15	calculated	calculate	VERB
cana-4932	318	16	channel	channel	NOUN
cana-4932	318	17	eigenvalues	eigenvalue	VERB
cana-4932	318	18	.	.	PUNCT
cana-4932	319	1	this	this	DET
cana-4932	319	2	user	user	NOUN
cana-4932	319	3	clustering	cluster	VERB
cana-4932	319	4	method	method	NOUN
cana-4932	319	5	based	base	VERB
cana-4932	319	6	on	on	ADP
cana-4932	319	7	channel	channel	NOUN
cana-4932	319	8	correlation	correlation	NOUN
cana-4932	319	9	coefficients	coefficient	NOUN
cana-4932	319	10	has	have	AUX
cana-4932	319	11	been	be	AUX
cana-4932	319	12	a	a	DET
cana-4932	319	13	very	very	ADV
cana-4932	319	14	common	common	ADJ
cana-4932	319	15	approach	approach	NOUN
cana-4932	319	16	that	that	PRON
cana-4932	319	17	does	do	AUX
cana-4932	319	18	not	not	PART
cana-4932	319	19	consider	consider	VERB
cana-4932	319	20	the	the	DET
cana-4932	319	21	system	system	NOUN
cana-4932	319	22	's	's	PART
cana-4932	319	23	state	state	NOUN
cana-4932	319	24	.	.	PUNCT
cana-4932	320	1	it	it	PRON
cana-4932	320	2	is	be	AUX
cana-4932	320	3	commonly	commonly	ADV
cana-4932	320	4	used	use	VERB
cana-4932	320	5	for	for	ADP
cana-4932	320	6	clustering	cluster	VERB
cana-4932	320	7	users	user	NOUN
cana-4932	320	8	in	in	ADP
cana-4932	320	9	various	various	ADJ
cana-4932	320	10	system	system	NOUN
cana-4932	320	11	models	model	NOUN
cana-4932	320	12	.	.	PUNCT
cana-4932	321	1	the	the	DET
cana-4932	321	2	graphs	graph	NOUN
cana-4932	321	3	and	and	CCONJ
cana-4932	321	4	simulation	simulation	NOUN
cana-4932	321	5	results	result	NOUN
cana-4932	321	6	of	of	ADP
cana-4932	321	7	this	this	DET
cana-4932	321	8	method	method	NOUN
cana-4932	321	9	will	will	AUX
cana-4932	321	10	also	also	ADV
cana-4932	321	11	be	be	AUX
cana-4932	321	12	thoroughly	thoroughly	ADV
cana-4932	321	13	examined	examine	VERB
cana-4932	321	14	in	in	ADP
cana-4932	321	15	chapter	chapter	NOUN
cana-4932	321	16	four	four	NUM
cana-4932	321	17	.	.	PUNCT
cana-4932	322	1	3	3	NUM
cana-4932	322	2	-	-	SYM
cana-4932	322	3	3	3	NUM
cana-4932	322	4	third	third	ADJ
cana-4932	322	5	proposed	propose	VERB
cana-4932	322	6	method	method	NOUN
cana-4932	322	7	modified	modify	VERB
cana-4932	322	8	zf	zf	PROPN
cana-4932	322	9	beamforming	beamforme	VERB
cana-4932	322	10	with	with	ADP
cana-4932	322	11	zero	zero	NUM
cana-4932	322	12	-	-	PUNCT
cana-4932	322	13	forcing	forcing	NOUN
cana-4932	322	14	in	in	ADP
cana-4932	322	15	the	the	DET
cana-4932	322	16	beamforming	beamforme	VERB
cana-4932	322	17	direction	direction	NOUN
cana-4932	322	18	towards	towards	ADP
cana-4932	322	19	the	the	DET
cana-4932	322	20	primary	primary	ADJ
cana-4932	322	21	user	user	NOUN
cana-4932	322	22	(	(	PUNCT
cana-4932	322	23	null	null	ADJ
cana-4932	322	24	method	method	NOUN
cana-4932	322	25	)	)	PUNCT
cana-4932	322	26	.	.	PUNCT
cana-4932	323	1	after	after	ADP
cana-4932	323	2	clustering	cluster	VERB
cana-4932	323	3	users	user	NOUN
cana-4932	323	4	and	and	CCONJ
cana-4932	323	5	before	before	ADP
cana-4932	323	6	sending	send	VERB
cana-4932	323	7	signals	signal	NOUN
cana-4932	323	8	for	for	ADP
cana-4932	323	9	each	each	DET
cana-4932	323	10	cluster	cluster	NOUN
cana-4932	323	11	according	accord	VERB
cana-4932	323	12	to	to	ADP
cana-4932	323	13	the	the	DET
cana-4932	323	14	oma	oma	PROPN
cana-4932	323	15	scheme	scheme	NOUN
cana-4932	323	16	,	,	PUNCT
cana-4932	323	17	initially	initially	ADV
cana-4932	323	18	,	,	PUNCT
cana-4932	323	19	digital	digital	ADJ
cana-4932	323	20	precoding	precoding	NOUN
cana-4932	323	21	operation	operation	NOUN
cana-4932	323	22	using	use	VERB
cana-4932	323	23	the	the	DET
cana-4932	323	24	bf	bf	NOUN
cana-4932	323	25	matrix	matrix	NOUN
cana-4932	323	26	on	on	ADP
cana-4932	323	27	symbols	symbol	NOUN
cana-4932	323	28	of	of	ADP
cana-4932	323	29	each	each	DET
cana-4932	323	30	cluster	cluster	NOUN
cana-4932	323	31	is	be	AUX
cana-4932	323	32	applied	apply	VERB
cana-4932	323	33	.	.	PUNCT
cana-4932	324	1	communications	communication	NOUN
cana-4932	324	2	on	on	ADP
cana-4932	324	3	applied	apply	VERB
cana-4932	324	4	nonlinear	nonlinear	ADJ
cana-4932	324	5	analysis	analysis	NOUN
cana-4932	324	6	issn	issn	NOUN
cana-4932	324	7	:	:	PUNCT
cana-4932	324	8	1074	1074	NUM
cana-4932	324	9	-	-	PUNCT
cana-4932	324	10	133x	133x	NUM
cana-4932	324	11	vol	vol	VERB
cana-4932	324	12	32	32	NUM
cana-4932	324	13	no	no	NOUN
cana-4932	324	14	.	.	PUNCT
cana-4932	325	1	10s	10	NOUN
cana-4932	325	2	(	(	PUNCT
cana-4932	325	3	2025	2025	NUM
cana-4932	325	4	)	)	PUNCT
cana-4932	325	5	993	993	NUM
cana-4932	325	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	325	7	following	follow	VERB
cana-4932	325	8	this	this	PRON
cana-4932	325	9	,	,	PUNCT
cana-4932	325	10	according	accord	VERB
cana-4932	325	11	to	to	ADP
cana-4932	325	12	equation	equation	NOUN
cana-4932	325	13	(	(	PUNCT
cana-4932	325	14	3	3	NUM
cana-4932	325	15	-	-	SYM
cana-4932	325	16	3	3	NUM
cana-4932	325	17	)	)	PUNCT
cana-4932	325	18	,	,	PUNCT
cana-4932	325	19	the	the	DET
cana-4932	325	20	transmitter	transmitter	NOUN
cana-4932	325	21	bs	bs	NOUN
cana-4932	325	22	sends	send	VERB
cana-4932	325	23	the	the	DET
cana-4932	325	24	signal	signal	NOUN
cana-4932	325	25	corresponding	correspond	VERB
cana-4932	325	26	to	to	ADP
cana-4932	325	27	each	each	PRON
cana-4932	325	28	of	of	ADP
cana-4932	325	29	the	the	DET
cana-4932	325	30	clusters	cluster	NOUN
cana-4932	325	31	.	.	PUNCT
cana-4932	326	1	to	to	PART
cana-4932	326	2	eliminate	eliminate	VERB
cana-4932	326	3	interference	interference	NOUN
cana-4932	326	4	signals	signal	NOUN
cana-4932	326	5	between	between	ADP
cana-4932	326	6	clusters	cluster	NOUN
cana-4932	326	7	,	,	PUNCT
cana-4932	326	8	focusing	focus	VERB
cana-4932	326	9	on	on	ADP
cana-4932	326	10	the	the	DET
cana-4932	326	11	sub	sub	NOUN
cana-4932	326	12	-	-	NOUN
cana-4932	326	13	cluster	cluster	NOUN
cana-4932	326	14	with	with	ADP
cana-4932	326	15	the	the	DET
cana-4932	326	16	strongest	strong	ADJ
cana-4932	326	17	user	user	NOUN
cana-4932	326	18	in	in	ADP
cana-4932	326	19	each	each	DET
cana-4932	326	20	cluster	cluster	NOUN
cana-4932	326	21	,	,	PUNCT
cana-4932	326	22	digital	digital	ADJ
cana-4932	326	23	precoding	precoding	NOUN
cana-4932	326	24	at	at	ADP
cana-4932	326	25	the	the	DET
cana-4932	326	26	base	base	NOUN
cana-4932	326	27	station	station	NOUN
cana-4932	326	28	is	be	AUX
cana-4932	326	29	performed	perform	VERB
cana-4932	326	30	using	use	VERB
cana-4932	326	31	the	the	DET
cana-4932	326	32	beamforming	beamforming	NOUN
cana-4932	326	33	with	with	ADP
cana-4932	326	34	zero	zero	NUM
cana-4932	326	35	-	-	PUNCT
cana-4932	326	36	forcing	force	VERB
cana-4932	326	37	method	method	NOUN
cana-4932	326	38	[	[	X
cana-4932	326	39	63	63	NUM
cana-4932	326	40	]	]	PUNCT
cana-4932	326	41	.	.	PUNCT
cana-4932	327	1	in	in	ADP
cana-4932	327	2	the	the	DET
cana-4932	327	3	zf	zf	PROPN
cana-4932	327	4	method	method	NOUN
cana-4932	327	5	,	,	PUNCT
cana-4932	327	6	the	the	DET
cana-4932	327	7	transmission	transmission	NOUN
cana-4932	327	8	beams	beam	NOUN
cana-4932	327	9	from	from	ADP
cana-4932	327	10	the	the	DET
cana-4932	327	11	transmitting	transmit	VERB
cana-4932	327	12	antennas	antenna	NOUN
cana-4932	327	13	of	of	ADP
cana-4932	327	14	the	the	DET
cana-4932	327	15	bs	b	NOUN
cana-4932	327	16	are	be	AUX
cana-4932	327	17	focused	focus	VERB
cana-4932	327	18	on	on	ADP
cana-4932	327	19	users	user	NOUN
cana-4932	327	20	within	within	ADP
cana-4932	327	21	each	each	DET
cana-4932	327	22	cluster	cluster	NOUN
cana-4932	327	23	that	that	PRON
cana-4932	327	24	have	have	VERB
cana-4932	327	25	the	the	DET
cana-4932	327	26	best	good	ADJ
cana-4932	327	27	channel	channel	NOUN
cana-4932	327	28	conditions	condition	NOUN
cana-4932	327	29	.	.	PUNCT
cana-4932	328	1	as	as	ADP
cana-4932	328	2	a	a	DET
cana-4932	328	3	result	result	NOUN
cana-4932	328	4	,	,	PUNCT
cana-4932	328	5	the	the	DET
cana-4932	328	6	interference	interference	NOUN
cana-4932	328	7	effect	effect	NOUN
cana-4932	328	8	on	on	ADP
cana-4932	328	9	other	other	ADJ
cana-4932	328	10	users	user	NOUN
cana-4932	328	11	is	be	AUX
cana-4932	328	12	almost	almost	ADV
cana-4932	328	13	minimized	minimized	ADJ
cana-4932	328	14	to	to	ADP
cana-4932	328	15	zero	zero	NUM
cana-4932	328	16	to	to	PART
cana-4932	328	17	prevent	prevent	VERB
cana-4932	328	18	interference	interference	NOUN
cana-4932	328	19	with	with	ADP
cana-4932	328	20	the	the	DET
cana-4932	328	21	primary	primary	ADJ
cana-4932	328	22	user	user	NOUN
cana-4932	328	23	.	.	PUNCT
cana-4932	329	1	since	since	SCONJ
cana-4932	329	2	the	the	DET
cana-4932	329	3	system	system	NOUN
cana-4932	329	4	model	model	NOUN
cana-4932	329	5	of	of	ADP
cana-4932	329	6	this	this	DET
cana-4932	329	7	paper	paper	NOUN
cana-4932	329	8	is	be	AUX
cana-4932	329	9	based	base	VERB
cana-4932	329	10	on	on	ADP
cana-4932	329	11	cognitive	cognitive	ADJ
cana-4932	329	12	radio	radio	NOUN
cana-4932	329	13	networks	network	NOUN
cana-4932	329	14	and	and	CCONJ
cana-4932	329	15	the	the	DET
cana-4932	329	16	primary	primary	ADJ
cana-4932	329	17	user	user	NOUN
cana-4932	329	18	in	in	ADP
cana-4932	329	19	this	this	DET
cana-4932	329	20	network	network	NOUN
cana-4932	329	21	is	be	AUX
cana-4932	329	22	of	of	ADP
cana-4932	329	23	particular	particular	ADJ
cana-4932	329	24	importance	importance	NOUN
cana-4932	329	25	,	,	PUNCT
cana-4932	329	26	we	we	PRON
cana-4932	329	27	modify	modify	VERB
cana-4932	329	28	the	the	DET
cana-4932	329	29	beamforming	beamforming	NOUN
cana-4932	329	30	in	in	ADP
cana-4932	329	31	the	the	DET
cana-4932	329	32	zf	zf	PROPN
cana-4932	329	33	method	method	NOUN
cana-4932	329	34	and	and	CCONJ
cana-4932	329	35	introduce	introduce	VERB
cana-4932	329	36	a	a	DET
cana-4932	329	37	zero	zero	NUM
cana-4932	329	38	-	-	PUNCT
cana-4932	329	39	forcing	force	VERB
cana-4932	329	40	beamforming	beamforme	VERB
cana-4932	329	41	approach	approach	NOUN
cana-4932	329	42	aligned	align	VERB
cana-4932	329	43	with	with	ADP
cana-4932	329	44	the	the	DET
cana-4932	329	45	primary	primary	ADJ
cana-4932	329	46	user	user	NOUN
cana-4932	329	47	in	in	ADP
cana-4932	329	48	a	a	DET
cana-4932	329	49	downlink	downlink	NOUN
cana-4932	329	50	communication	communication	NOUN
cana-4932	329	51	as	as	ADP
cana-4932	329	52	the	the	DET
cana-4932	329	53	third	third	ADJ
cana-4932	329	54	proposed	propose	VERB
cana-4932	329	55	method	method	NOUN
cana-4932	329	56	.	.	PUNCT
cana-4932	330	1	this	this	DET
cana-4932	330	2	method	method	NOUN
cana-4932	330	3	is	be	AUX
cana-4932	330	4	similar	similar	ADJ
cana-4932	330	5	to	to	ADP
cana-4932	330	6	the	the	DET
cana-4932	330	7	zf	zf	PROPN
cana-4932	330	8	method	method	NOUN
cana-4932	330	9	,	,	PUNCT
cana-4932	330	10	with	with	ADP
cana-4932	330	11	the	the	DET
cana-4932	330	12	difference	difference	NOUN
cana-4932	330	13	that	that	PRON
cana-4932	330	14	we	we	PRON
cana-4932	330	15	employ	employ	VERB
cana-4932	330	16	the	the	DET
cana-4932	330	17	initial	initial	ADJ
cana-4932	330	18	user	user	NOUN
cana-4932	330	19	information	information	NOUN
cana-4932	330	20	in	in	ADP
cana-4932	330	21	zf	zf	PROPN
cana-4932	330	22	planning	plan	VERB
cana-4932	330	23	in	in	ADP
cana-4932	330	24	cognitive	cognitive	ADJ
cana-4932	330	25	radio	radio	NOUN
cana-4932	330	26	networks	network	NOUN
cana-4932	330	27	.	.	PUNCT
cana-4932	331	1	in	in	ADP
cana-4932	331	2	defining	define	VERB
cana-4932	331	3	the	the	DET
cana-4932	331	4	bf	bf	NOUN
cana-4932	331	5	vector	vector	NOUN
cana-4932	331	6	,	,	PUNCT
cana-4932	331	7	we	we	PRON
cana-4932	331	8	exactly	exactly	ADV
cana-4932	331	9	place	place	VERB
cana-4932	331	10	the	the	DET
cana-4932	331	11	pu	pu	PROPN
cana-4932	331	12	channel	channel	PROPN
cana-4932	331	13	vector	vector	NOUN
cana-4932	331	14	in	in	ADP
cana-4932	331	15	the	the	DET
cana-4932	331	16	last	last	ADJ
cana-4932	331	17	column	column	NOUN
cana-4932	331	18	of	of	ADP
cana-4932	331	19	the	the	DET
cana-4932	331	20	channel	channel	NOUN
cana-4932	331	21	vector	vector	NOUN
cana-4932	331	22	.	.	PUNCT
cana-4932	332	1	by	by	ADP
cana-4932	332	2	doing	do	VERB
cana-4932	332	3	this	this	PRON
cana-4932	332	4	on	on	ADP
cana-4932	332	5	the	the	DET
cana-4932	332	6	pu	pu	PROPN
cana-4932	332	7	efficiency	efficiency	NOUN
cana-4932	332	8	,	,	PUNCT
cana-4932	332	9	it	it	PRON
cana-4932	332	10	will	will	AUX
cana-4932	332	11	have	have	VERB
cana-4932	332	12	a	a	DET
cana-4932	332	13	very	very	ADV
cana-4932	332	14	positive	positive	ADJ
cana-4932	332	15	impact	impact	NOUN
cana-4932	332	16	.	.	PUNCT
cana-4932	333	1	the	the	DET
cana-4932	333	2	reason	reason	NOUN
cana-4932	333	3	for	for	ADP
cana-4932	333	4	this	this	PRON
cana-4932	333	5	is	be	AUX
cana-4932	333	6	that	that	SCONJ
cana-4932	333	7	when	when	SCONJ
cana-4932	333	8	the	the	DET
cana-4932	333	9	bf	bf	NOUN
cana-4932	333	10	vector	vector	NOUN
cana-4932	333	11	is	be	AUX
cana-4932	333	12	directed	direct	VERB
cana-4932	333	13	towards	towards	ADP
cana-4932	333	14	pu	pu	PROPN
cana-4932	333	15	,	,	PUNCT
cana-4932	333	16	practically	practically	ADV
cana-4932	333	17	no	no	DET
cana-4932	333	18	interference	interference	NOUN
cana-4932	333	19	from	from	ADP
cana-4932	333	20	sus	sus	PROPN
cana-4932	333	21	will	will	AUX
cana-4932	333	22	affect	affect	VERB
cana-4932	333	23	pu	pu	PROPN
cana-4932	333	24	.	.	PUNCT
cana-4932	334	1	it	it	PRON
cana-4932	334	2	is	be	AUX
cana-4932	334	3	true	true	ADJ
cana-4932	334	4	that	that	SCONJ
cana-4932	334	5	by	by	ADP
cana-4932	334	6	implementing	implement	VERB
cana-4932	334	7	this	this	DET
cana-4932	334	8	method	method	NOUN
cana-4932	334	9	,	,	PUNCT
cana-4932	334	10	the	the	DET
cana-4932	334	11	efficiency	efficiency	NOUN
cana-4932	334	12	of	of	ADP
cana-4932	334	13	secondary	secondary	ADJ
cana-4932	334	14	users	user	NOUN
cana-4932	334	15	will	will	AUX
cana-4932	334	16	slightly	slightly	ADV
cana-4932	334	17	decrease	decrease	VERB
cana-4932	334	18	,	,	PUNCT
cana-4932	334	19	which	which	PRON
cana-4932	334	20	is	be	AUX
cana-4932	334	21	acceptable	acceptable	ADJ
cana-4932	334	22	,	,	PUNCT
cana-4932	334	23	but	but	CCONJ
cana-4932	334	24	interference	interference	NOUN
cana-4932	334	25	directed	direct	VERB
cana-4932	334	26	towards	towards	ADP
cana-4932	334	27	the	the	DET
cana-4932	334	28	primary	primary	ADJ
cana-4932	334	29	user	user	NOUN
cana-4932	334	30	(	(	PUNCT
cana-4932	334	31	null	null	ADJ
cana-4932	334	32	method	method	NOUN
cana-4932	334	33	)	)	PUNCT
cana-4932	334	34	will	will	AUX
cana-4932	334	35	be	be	AUX
cana-4932	334	36	significantly	significantly	ADV
cana-4932	334	37	reduced	reduce	VERB
cana-4932	334	38	.	.	PUNCT
cana-4932	335	1	the	the	DET
cana-4932	335	2	impact	impact	NOUN
cana-4932	335	3	of	of	ADP
cana-4932	335	4	this	this	DET
cana-4932	335	5	method	method	NOUN
cana-4932	335	6	on	on	ADP
cana-4932	335	7	pu	pu	PROPN
cana-4932	335	8	in	in	ADP
cana-4932	335	9	low	low	ADJ
cana-4932	335	10	interference	interference	NOUN
cana-4932	335	11	thresholds	threshold	NOUN
cana-4932	335	12	injected	inject	VERB
cana-4932	335	13	from	from	ADP
cana-4932	335	14	the	the	DET
cana-4932	335	15	base	base	NOUN
cana-4932	335	16	station	station	NOUN
cana-4932	335	17	to	to	ADP
cana-4932	335	18	the	the	DET
cana-4932	335	19	network	network	NOUN
cana-4932	335	20	is	be	AUX
cana-4932	335	21	highly	highly	ADV
cana-4932	335	22	noticeable	noticeable	ADJ
cana-4932	335	23	,	,	PUNCT
cana-4932	335	24	and	and	CCONJ
cana-4932	335	25	by	by	ADP
cana-4932	335	26	implementing	implement	VERB
cana-4932	335	27	this	this	DET
cana-4932	335	28	method	method	NOUN
cana-4932	335	29	,	,	PUNCT
cana-4932	335	30	the	the	DET
cana-4932	335	31	achievable	achievable	ADJ
cana-4932	335	32	information	information	NOUN
cana-4932	335	33	rate	rate	NOUN
cana-4932	335	34	for	for	ADP
cana-4932	335	35	the	the	DET
cana-4932	335	36	primary	primary	ADJ
cana-4932	335	37	user	user	NOUN
cana-4932	335	38	will	will	AUX
cana-4932	335	39	greatly	greatly	ADV
cana-4932	335	40	improve	improve	VERB
cana-4932	335	41	.	.	PUNCT
cana-4932	336	1	in	in	ADP
cana-4932	336	2	this	this	DET
cana-4932	336	3	context	context	NOUN
cana-4932	336	4	,	,	PUNCT
cana-4932	336	5	it	it	PRON
cana-4932	336	6	is	be	AUX
cana-4932	336	7	assumed	assume	VERB
cana-4932	336	8	that	that	SCONJ
cana-4932	336	9	the	the	DET
cana-4932	336	10	best	good	ADJ
cana-4932	336	11	channel	channel	NOUN
cana-4932	336	12	conditions	condition	NOUN
cana-4932	336	13	for	for	ADP
cana-4932	336	14	the	the	DET
cana-4932	336	15	primary	primary	ADJ
cana-4932	336	16	user	user	NOUN
cana-4932	336	17	𝑝𝑢𝑔	𝑝𝑢𝑔	PROPN
cana-4932	336	18	located	locate	VERB
cana-4932	336	19	in	in	ADP
cana-4932	336	20	the	the	DET
cana-4932	336	21	specific	specific	ADJ
cana-4932	336	22	cluster	cluster	NOUN
cana-4932	336	23	𝑔	𝑔	NOUN
cana-4932	336	24	are	be	AUX
cana-4932	336	25	achievable	achievable	ADJ
cana-4932	336	26	.	.	PUNCT
cana-4932	337	1	in	in	ADP
cana-4932	337	2	other	other	ADJ
cana-4932	337	3	words	word	NOUN
cana-4932	337	4	,	,	PUNCT
cana-4932	337	5	due	due	ADJ
cana-4932	337	6	to	to	ADP
cana-4932	337	7	having	have	VERB
cana-4932	337	8	the	the	DET
cana-4932	337	9	best	good	ADJ
cana-4932	337	10	channel	channel	NOUN
cana-4932	337	11	conditions	condition	NOUN
cana-4932	337	12	,	,	PUNCT
cana-4932	337	13	this	this	DET
cana-4932	337	14	user	user	NOUN
cana-4932	337	15	(	(	PUNCT
cana-4932	337	16	the	the	DET
cana-4932	337	17	primary	primary	ADJ
cana-4932	337	18	user	user	NOUN
cana-4932	337	19	)	)	PUNCT
cana-4932	337	20	is	be	AUX
cana-4932	337	21	selected	select	VERB
cana-4932	337	22	as	as	ADP
cana-4932	337	23	the	the	DET
cana-4932	337	24	primary	primary	ADJ
cana-4932	337	25	user	user	NOUN
cana-4932	337	26	for	for	ADP
cana-4932	337	27	cluster	cluster	NOUN
cana-4932	337	28	𝑔.	𝑔.	NOUN
cana-4932	337	29	therefore	therefore	ADV
cana-4932	337	30	,	,	PUNCT
cana-4932	337	31	based	base	VERB
cana-4932	337	32	on	on	ADP
cana-4932	337	33	the	the	DET
cana-4932	337	34	channel	channel	NOUN
cana-4932	337	35	vectors	vector	NOUN
cana-4932	337	36	of	of	ADP
cana-4932	337	37	strong	strong	ADJ
cana-4932	337	38	users	user	NOUN
cana-4932	337	39	(	(	PUNCT
cana-4932	337	40	cluster	cluster	NOUN
cana-4932	337	41	heads	head	NOUN
cana-4932	337	42	)	)	PUNCT
cana-4932	337	43	in	in	ADP
cana-4932	337	44	the	the	DET
cana-4932	337	45	g	g	PROPN
cana-4932	337	46	cluster	cluster	NOUN
cana-4932	337	47	,	,	PUNCT
cana-4932	337	48	the	the	DET
cana-4932	337	49	aggregation	aggregation	NOUN
cana-4932	337	50	matrix	matrix	NOUN
cana-4932	337	51	associated	associate	VERB
cana-4932	337	52	with	with	ADP
cana-4932	337	53	millimeter	millimeter	NOUN
cana-4932	337	54	wave	wave	PROPN
cana-4932	337	55	mimo	mimo	PROPN
cana-4932	337	56	communication	communication	NOUN
cana-4932	337	57	channels	channel	NOUN
cana-4932	337	58	is	be	AUX
cana-4932	337	59	defined	define	VERB
cana-4932	337	60	as	as	SCONJ
cana-4932	337	61	follows	follow	VERB
cana-4932	337	62	:	:	PUNCT
cana-4932	337	63	𝑯𝟏	𝑯𝟏	PROPN
cana-4932	337	64	=	=	PUNCT
cana-4932	338	1	[	[	X
cana-4932	338	2	𝒉𝑚1	𝒉𝑚1	PROPN
cana-4932	338	3	.	.	PUNCT
cana-4932	339	1	𝒉𝑚2	𝒉𝑚2	INTJ
cana-4932	339	2	.	.	PUNCT
cana-4932	340	1	⋯	⋯	NOUN
cana-4932	340	2	.	.	PUNCT
cana-4932	341	1	�	�	PROPN
cana-4932	341	2	̃	̃	PROPN
cana-4932	341	3	�	�	PROPN
cana-4932	341	4	𝑝𝑢	𝑝𝑢	PROPN
cana-4932	341	5	𝑇	𝑇	PROPN
cana-4932	341	6	]	]	PUNCT
cana-4932	341	7	(	(	PUNCT
cana-4932	341	8	37	37	NUM
cana-4932	341	9	-	-	SYM
cana-4932	341	10	3	3	NUM
cana-4932	341	11	)	)	PUNCT
cana-4932	341	12	in	in	ADP
cana-4932	341	13	general	general	ADJ
cana-4932	341	14	,	,	PUNCT
cana-4932	341	15	and	and	CCONJ
cana-4932	341	16	according	accord	VERB
cana-4932	341	17	to	to	ADP
cana-4932	341	18	equation	equation	NOUN
cana-4932	341	19	(	(	PUNCT
cana-4932	341	20	3	3	NUM
cana-4932	341	21	-	-	SYM
cana-4932	341	22	37	37	NUM
cana-4932	341	23	)	)	PUNCT
cana-4932	341	24	,	,	PUNCT
cana-4932	341	25	the	the	DET
cana-4932	341	26	matrix	matrix	NOUN
cana-4932	341	27	forming	form	VERB
cana-4932	341	28	method	method	NOUN
cana-4932	341	29	in	in	ADP
cana-4932	341	30	this	this	DET
cana-4932	341	31	approach	approach	NOUN
cana-4932	341	32	forms	form	VERB
cana-4932	341	33	the	the	DET
cana-4932	341	34	pseudo	pseudo	NOUN
cana-4932	341	35	-	-	ADJ
cana-4932	341	36	inverse	inverse	ADJ
cana-4932	341	37	matrix	matrix	NOUN
cana-4932	341	38	of	of	ADP
cana-4932	341	39	the	the	DET
cana-4932	341	40	user	user	NOUN
cana-4932	341	41	channel	channel	NOUN
cana-4932	341	42	aggregation	aggregation	NOUN
cana-4932	341	43	matrix	matrix	NOUN
cana-4932	341	44	at	at	ADP
cana-4932	341	45	the	the	DET
cana-4932	341	46	base	base	NOUN
cana-4932	341	47	station	station	NOUN
cana-4932	341	48	.	.	PUNCT
cana-4932	342	1	therefore	therefore	ADV
cana-4932	342	2	,	,	PUNCT
cana-4932	342	3	the	the	DET
cana-4932	342	4	digital	digital	ADJ
cana-4932	342	5	pre	pre	ADJ
cana-4932	342	6	-	-	ADJ
cana-4932	342	7	encoding	encoding	ADJ
cana-4932	342	8	matrix	matrix	NOUN
cana-4932	342	9	�	�	NOUN
cana-4932	342	10	̅	̅	NOUN
cana-4932	342	11	�	�	PROPN
cana-4932	342	12	∈	∈	PROPN
cana-4932	342	13	𝐶𝑁×𝐺	𝐶𝑁×𝐺	NOUN
cana-4932	342	14	will	will	AUX
cana-4932	342	15	be	be	AUX
cana-4932	342	16	equivalent	equivalent	ADJ
cana-4932	342	17	to	to	ADP
cana-4932	342	18	the	the	DET
cana-4932	342	19	pseudo	pseudo	NOUN
cana-4932	342	20	-	-	NOUN
cana-4932	342	21	inverse	inverse	NOUN
cana-4932	342	22	of	of	ADP
cana-4932	342	23	the	the	DET
cana-4932	342	24	system	system	NOUN
cana-4932	342	25	mimo	mimo	PROPN
cana-4932	342	26	channel	channel	PROPN
cana-4932	342	27	aggregation	aggregation	NOUN
cana-4932	342	28	matrix	matrix	NOUN
cana-4932	342	29	[	[	X
cana-4932	342	30	64	64	NUM
cana-4932	342	31	]	]	X
cana-4932	342	32	:	:	PUNCT
cana-4932	342	33	𝑫𝟏̅̅	𝑫𝟏̅̅	PROPN
cana-4932	342	34	̅̅	̅̅	NOUN
cana-4932	342	35	=	=	PUNCT
cana-4932	342	36	𝑯𝟏(𝑯𝟏𝑯𝑯𝟏)−𝟏	𝑯𝟏(𝑯𝟏𝑯𝑯𝟏)−𝟏	PROPN
cana-4932	342	37	=	=	PUNCT
cana-4932	343	1	[	[	PUNCT
cana-4932	343	2	�	�	NOUN
cana-4932	343	3	̅	̅	NOUN
cana-4932	343	4	�	�	NOUN
cana-4932	343	5	1	1	NUM
cana-4932	343	6	.	.	PUNCT
cana-4932	343	7	�	�	PROPN
cana-4932	343	8	̅	̅	NOUN
cana-4932	343	9	�	�	NOUN
cana-4932	343	10	1	1	NUM
cana-4932	343	11	.	.	PUNCT
cana-4932	344	1	⋯	⋯	NOUN
cana-4932	344	2	.	.	PUNCT
cana-4932	345	1	�	�	PROPN
cana-4932	345	2	̅	̅	NOUN
cana-4932	345	3	�	�	NOUN
cana-4932	345	4	𝐺	𝐺	NOUN
cana-4932	345	5	]	]	X
cana-4932	345	6	(	(	PUNCT
cana-4932	345	7	38	38	NUM
cana-4932	345	8	-	-	SYM
cana-4932	345	9	3	3	NUM
cana-4932	345	10	)	)	PUNCT
cana-4932	345	11	in	in	ADP
cana-4932	345	12	equation	equation	NOUN
cana-4932	345	13	(	(	PUNCT
cana-4932	345	14	3	3	NUM
cana-4932	345	15	-	-	SYM
cana-4932	345	16	38	38	NUM
cana-4932	345	17	)	)	PUNCT
cana-4932	346	1	,	,	PUNCT
cana-4932	346	2	the	the	DET
cana-4932	346	3	vector	vector	NOUN
cana-4932	346	4	representing	represent	VERB
cana-4932	346	5	the	the	DET
cana-4932	346	6	pre	pre	NOUN
cana-4932	346	7	-	-	NOUN
cana-4932	346	8	encoding	encoding	NOUN
cana-4932	346	9	of	of	ADP
cana-4932	346	10	digital	digital	ADJ
cana-4932	346	11	cluster	cluster	NOUN
cana-4932	346	12	𝑔	𝑔	PROPN
cana-4932	346	13	is	be	AUX
cana-4932	346	14	denoted	denote	VERB
cana-4932	346	15	by	by	ADP
cana-4932	346	16	𝑔	𝑔	NOUN
cana-4932	346	17	,	,	PUNCT
cana-4932	346	18	where	where	SCONJ
cana-4932	346	19	the	the	DET
cana-4932	346	20	normalized	normalize	VERB
cana-4932	346	21	version	version	NOUN
cana-4932	346	22	of	of	ADP
cana-4932	346	23	this	this	DET
cana-4932	346	24	vector	vector	NOUN
cana-4932	346	25	is	be	AUX
cana-4932	346	26	calculated	calculate	VERB
cana-4932	346	27	as	as	SCONJ
cana-4932	346	28	follows	follow	VERB
cana-4932	346	29	:	:	PUNCT
cana-4932	346	30	𝒅𝒈	𝒅𝒈	ADP
cana-4932	346	31	=	=	SYM
cana-4932	346	32	�	�	PROPN
cana-4932	346	33	̅	̅	NOUN
cana-4932	346	34	�	�	DET
cana-4932	347	1	𝒈	𝒈	SYM
cana-4932	347	2	‖	‖	ADJ
cana-4932	347	3	�	�	PROPN
cana-4932	347	4	̅	̅	NOUN
cana-4932	347	5	�	�	NOUN
cana-4932	347	6	𝒈‖2	𝒈‖2	ADJ
cana-4932	347	7	2	2	NUM
cana-4932	347	8	(	(	PUNCT
cana-4932	347	9	39	39	NUM
cana-4932	347	10	-	-	SYM
cana-4932	347	11	3	3	NUM
cana-4932	347	12	)	)	PUNCT
cana-4932	347	13	the	the	DET
cana-4932	347	14	parameter	parameter	NOUN
cana-4932	347	15	𝒅𝒈in	𝒅𝒈in	PROPN
cana-4932	347	16	equation	equation	NOUN
cana-4932	347	17	(	(	PUNCT
cana-4932	347	18	3	3	NUM
cana-4932	347	19	-	-	SYM
cana-4932	347	20	39	39	NUM
cana-4932	347	21	)	)	PUNCT
cana-4932	347	22	is	be	AUX
cana-4932	347	23	the	the	DET
cana-4932	347	24	column	column	NOUN
cana-4932	347	25	g	g	NOUN
cana-4932	347	26	of	of	ADP
cana-4932	347	27	the	the	DET
cana-4932	347	28	digital	digital	ADJ
cana-4932	347	29	pre	pre	ADJ
cana-4932	347	30	-	-	ADJ
cana-4932	347	31	encoding	encoding	ADJ
cana-4932	347	32	matrix	matrix	NOUN
cana-4932	347	33	introduced	introduce	VERB
cana-4932	347	34	in	in	ADP
cana-4932	347	35	equation	equation	NOUN
cana-4932	347	36	(	(	PUNCT
cana-4932	347	37	1	1	NUM
cana-4932	347	38	-	-	SYM
cana-4932	347	39	3	3	NUM
cana-4932	347	40	)	)	PUNCT
cana-4932	347	41	.	.	PUNCT
cana-4932	348	1	communications	communication	NOUN
cana-4932	348	2	on	on	ADP
cana-4932	348	3	applied	apply	VERB
cana-4932	348	4	nonlinear	nonlinear	ADJ
cana-4932	348	5	analysis	analysis	NOUN
cana-4932	348	6	issn	issn	NOUN
cana-4932	348	7	:	:	PUNCT
cana-4932	348	8	1074	1074	NUM
cana-4932	348	9	-	-	PUNCT
cana-4932	348	10	133x	133x	NUM
cana-4932	348	11	vol	vol	VERB
cana-4932	348	12	32	32	NUM
cana-4932	348	13	no	no	NOUN
cana-4932	348	14	.	.	PUNCT
cana-4932	349	1	10s	10	NOUN
cana-4932	349	2	(	(	PUNCT
cana-4932	349	3	2025	2025	NUM
cana-4932	349	4	)	)	PUNCT
cana-4932	349	5	994	994	NUM
cana-4932	349	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	349	7	4results	4result	NOUN
cana-4932	349	8	and	and	CCONJ
cana-4932	349	9	analysis	analysis	NOUN
cana-4932	349	10	4	4	NUM
cana-4932	349	11	-	-	SYM
cana-4932	349	12	1	1	NUM
cana-4932	349	13	introduction	introduction	NOUN
cana-4932	349	14	in	in	ADP
cana-4932	349	15	the	the	DET
cana-4932	349	16	previous	previous	ADJ
cana-4932	349	17	chapter	chapter	NOUN
cana-4932	349	18	,	,	PUNCT
cana-4932	349	19	we	we	PRON
cana-4932	349	20	thoroughly	thoroughly	ADV
cana-4932	349	21	discussed	discuss	VERB
cana-4932	349	22	the	the	DET
cana-4932	349	23	system	system	NOUN
cana-4932	349	24	model	model	NOUN
cana-4932	349	25	and	and	CCONJ
cana-4932	349	26	its	its	PRON
cana-4932	349	27	mathematical	mathematical	ADJ
cana-4932	349	28	relationships	relationship	NOUN
cana-4932	349	29	.	.	PUNCT
cana-4932	350	1	by	by	ADP
cana-4932	350	2	employing	employ	VERB
cana-4932	350	3	several	several	ADJ
cana-4932	350	4	simplifications	simplification	NOUN
cana-4932	350	5	,	,	PUNCT
cana-4932	350	6	we	we	PRON
cana-4932	350	7	transformed	transform	VERB
cana-4932	350	8	the	the	DET
cana-4932	350	9	non	non	ADJ
cana-4932	350	10	-	-	ADJ
cana-4932	350	11	convex	convex	ADJ
cana-4932	350	12	problem	problem	NOUN
cana-4932	350	13	into	into	ADP
cana-4932	350	14	a	a	DET
cana-4932	350	15	convex	convex	ADJ
cana-4932	350	16	optimization	optimization	NOUN
cana-4932	350	17	problem	problem	NOUN
cana-4932	350	18	.	.	PUNCT
cana-4932	351	1	due	due	ADP
cana-4932	351	2	to	to	ADP
cana-4932	351	3	the	the	DET
cana-4932	351	4	complex	complex	ADJ
cana-4932	351	5	nature	nature	NOUN
cana-4932	351	6	of	of	ADP
cana-4932	351	7	convex	convex	ADJ
cana-4932	351	8	optimization	optimization	NOUN
cana-4932	351	9	problems	problem	NOUN
cana-4932	351	10	,	,	PUNCT
cana-4932	351	11	we	we	PRON
cana-4932	351	12	will	will	AUX
cana-4932	351	13	analyze	analyze	VERB
cana-4932	351	14	and	and	CCONJ
cana-4932	351	15	decompose	decompose	VERB
cana-4932	351	16	it	it	PRON
cana-4932	351	17	using	use	VERB
cana-4932	351	18	the	the	DET
cana-4932	351	19	cvx	cvx	PROPN
cana-4932	351	20	toolbox	toolbox	NOUN
cana-4932	351	21	in	in	ADP
cana-4932	351	22	the	the	DET
cana-4932	351	23	matlab	matlab	PROPN
cana-4932	351	24	simulation	simulation	NOUN
cana-4932	351	25	software	software	PROPN
cana-4932	351	26	.	.	PUNCT
cana-4932	352	1	the	the	DET
cana-4932	352	2	cvx	cvx	PROPN
cana-4932	352	3	toolbox	toolbox	NOUN
cana-4932	352	4	provides	provide	VERB
cana-4932	352	5	highly	highly	ADV
cana-4932	352	6	practical	practical	ADJ
cana-4932	352	7	solvers	solver	NOUN
cana-4932	352	8	suitable	suitable	ADJ
cana-4932	352	9	for	for	ADP
cana-4932	352	10	solving	solve	VERB
cana-4932	352	11	complex	complex	ADJ
cana-4932	352	12	and	and	CCONJ
cana-4932	352	13	standard	standard	ADJ
cana-4932	352	14	convex	convex	ADJ
cana-4932	352	15	optimization	optimization	NOUN
cana-4932	352	16	problems	problem	NOUN
cana-4932	352	17	.	.	PUNCT
cana-4932	353	1	in	in	ADP
cana-4932	353	2	light	light	NOUN
cana-4932	353	3	of	of	ADP
cana-4932	353	4	the	the	DET
cana-4932	353	5	aforementioned	aforementioned	ADJ
cana-4932	353	6	discussions	discussion	NOUN
cana-4932	353	7	,	,	PUNCT
cana-4932	353	8	this	this	DET
cana-4932	353	9	chapter	chapter	NOUN
cana-4932	353	10	will	will	AUX
cana-4932	353	11	focus	focus	VERB
cana-4932	353	12	on	on	ADP
cana-4932	353	13	analyzing	analyze	VERB
cana-4932	353	14	and	and	CCONJ
cana-4932	353	15	interpreting	interpret	VERB
cana-4932	353	16	the	the	DET
cana-4932	353	17	simulation	simulation	NOUN
cana-4932	353	18	results	result	NOUN
cana-4932	353	19	of	of	ADP
cana-4932	353	20	the	the	DET
cana-4932	353	21	proposed	propose	VERB
cana-4932	353	22	methods	method	NOUN
cana-4932	353	23	in	in	ADP
cana-4932	353	24	the	the	DET
cana-4932	353	25	form	form	NOUN
cana-4932	353	26	of	of	ADP
cana-4932	353	27	comparative	comparative	ADJ
cana-4932	353	28	graphs	graph	NOUN
cana-4932	353	29	.	.	PUNCT
cana-4932	354	1	4	4	NUM
cana-4932	354	2	-	-	SYM
cana-4932	354	3	2	2	NUM
cana-4932	354	4	numerical	numerical	ADJ
cana-4932	354	5	parameters	parameter	NOUN
cana-4932	354	6	used	use	VERB
cana-4932	354	7	in	in	ADP
cana-4932	354	8	simulation	simulation	NOUN
cana-4932	354	9	before	before	ADP
cana-4932	354	10	conducting	conduct	VERB
cana-4932	354	11	the	the	DET
cana-4932	354	12	simulation	simulation	NOUN
cana-4932	354	13	,	,	PUNCT
cana-4932	354	14	this	this	DET
cana-4932	354	15	section	section	NOUN
cana-4932	354	16	introduces	introduce	VERB
cana-4932	354	17	the	the	DET
cana-4932	354	18	input	input	NOUN
cana-4932	354	19	parameters	parameter	NOUN
cana-4932	354	20	of	of	ADP
cana-4932	354	21	the	the	DET
cana-4932	354	22	problem	problem	NOUN
cana-4932	354	23	,	,	PUNCT
cana-4932	354	24	which	which	PRON
cana-4932	354	25	are	be	AUX
cana-4932	354	26	defined	define	VERB
cana-4932	354	27	as	as	ADP
cana-4932	354	28	a	a	DET
cana-4932	354	29	set	set	NOUN
cana-4932	354	30	of	of	ADP
cana-4932	354	31	parameters	parameter	NOUN
cana-4932	354	32	with	with	ADP
cana-4932	354	33	specific	specific	ADJ
cana-4932	354	34	values	value	NOUN
cana-4932	354	35	in	in	ADP
cana-4932	354	36	the	the	DET
cana-4932	354	37	matlab	matlab	PROPN
cana-4932	354	38	environment	environment	NOUN
cana-4932	354	39	.	.	PUNCT
cana-4932	355	1	the	the	DET
cana-4932	355	2	values	value	NOUN
cana-4932	355	3	of	of	ADP
cana-4932	355	4	these	these	DET
cana-4932	355	5	parameters	parameter	NOUN
cana-4932	355	6	should	should	AUX
cana-4932	355	7	be	be	AUX
cana-4932	355	8	reasonably	reasonably	ADV
cana-4932	355	9	defined	define	VERB
cana-4932	355	10	to	to	PART
cana-4932	355	11	ensure	ensure	VERB
cana-4932	355	12	the	the	DET
cana-4932	355	13	practical	practical	ADJ
cana-4932	355	14	efficiency	efficiency	NOUN
cana-4932	355	15	of	of	ADP
cana-4932	355	16	modern	modern	ADJ
cana-4932	355	17	communication	communication	NOUN
cana-4932	355	18	systems	system	NOUN
cana-4932	355	19	is	be	AUX
cana-4932	355	20	not	not	PART
cana-4932	355	21	compromised	compromise	VERB
cana-4932	355	22	.	.	PUNCT
cana-4932	356	1	to	to	ADP
cana-4932	356	2	this	this	DET
cana-4932	356	3	end	end	NOUN
cana-4932	356	4	,	,	PUNCT
cana-4932	356	5	we	we	PRON
cana-4932	356	6	initially	initially	ADV
cana-4932	356	7	address	address	VERB
cana-4932	356	8	the	the	DET
cana-4932	356	9	generation	generation	NOUN
cana-4932	356	10	of	of	ADP
cana-4932	356	11	random	random	ADJ
cana-4932	356	12	communication	communication	NOUN
cana-4932	356	13	channels	channel	NOUN
cana-4932	356	14	and	and	CCONJ
cana-4932	356	15	,	,	PUNCT
cana-4932	356	16	in	in	ADP
cana-4932	356	17	a	a	DET
cana-4932	356	18	tabular	tabular	NOUN
cana-4932	356	19	format	format	NOUN
cana-4932	356	20	,	,	PUNCT
cana-4932	356	21	determine	determine	VERB
cana-4932	356	22	the	the	DET
cana-4932	356	23	numerical	numerical	ADJ
cana-4932	356	24	values	value	NOUN
cana-4932	356	25	of	of	ADP
cana-4932	356	26	the	the	DET
cana-4932	356	27	input	input	NOUN
cana-4932	356	28	parameters	parameter	NOUN
cana-4932	356	29	for	for	ADP
cana-4932	356	30	optimization	optimization	NOUN
cana-4932	356	31	problem	problem	NOUN
cana-4932	356	32	analysis	analysis	NOUN
cana-4932	356	33	and	and	CCONJ
cana-4932	356	34	simulation	simulation	NOUN
cana-4932	356	35	in	in	ADP
cana-4932	356	36	the	the	DET
cana-4932	356	37	matlab	matlab	PROPN
cana-4932	356	38	software	software	NOUN
cana-4932	356	39	.	.	PUNCT
cana-4932	357	1	the	the	DET
cana-4932	357	2	frequency	frequency	NOUN
cana-4932	357	3	of	of	ADP
cana-4932	357	4	transmitted	transmit	VERB
cana-4932	357	5	signals	signal	NOUN
cana-4932	357	6	in	in	ADP
cana-4932	357	7	fifth	fifth	ADJ
cana-4932	357	8	-	-	PUNCT
cana-4932	357	9	generation	generation	NOUN
cana-4932	357	10	telecommunication	telecommunication	NOUN
cana-4932	357	11	systems	system	NOUN
cana-4932	357	12	is	be	AUX
cana-4932	357	13	very	very	ADV
cana-4932	357	14	high	high	ADJ
cana-4932	357	15	.	.	PUNCT
cana-4932	358	1	since	since	SCONJ
cana-4932	358	2	the	the	DET
cana-4932	358	3	proposed	propose	VERB
cana-4932	358	4	system	system	NOUN
cana-4932	358	5	model	model	NOUN
cana-4932	358	6	in	in	ADP
cana-4932	358	7	this	this	DET
cana-4932	358	8	paper	paper	NOUN
cana-4932	358	9	is	be	AUX
cana-4932	358	10	based	base	VERB
cana-4932	358	11	on	on	ADP
cana-4932	358	12	5	5	NUM
cana-4932	358	13	g	g	NOUN
cana-4932	358	14	,	,	PUNCT
cana-4932	358	15	the	the	DET
cana-4932	358	16	frequency	frequency	NOUN
cana-4932	358	17	ranges	range	VERB
cana-4932	358	18	from	from	ADP
cana-4932	358	19	30	30	NUM
cana-4932	358	20	to	to	PART
cana-4932	358	21	40	40	NUM
cana-4932	358	22	ghz	ghz	NOUN
cana-4932	358	23	.	.	PUNCT
cana-4932	359	1	as	as	SCONJ
cana-4932	359	2	mentioned	mention	VERB
cana-4932	359	3	in	in	ADP
cana-4932	359	4	chapter	chapter	NOUN
cana-4932	359	5	3	3	NUM
cana-4932	359	6	,	,	PUNCT
cana-4932	359	7	we	we	PRON
cana-4932	359	8	define	define	VERB
cana-4932	359	9	a	a	DET
cana-4932	359	10	telecommunication	telecommunication	NOUN
cana-4932	359	11	channel	channel	NOUN
cana-4932	359	12	as	as	ADP
cana-4932	359	13	a	a	DET
cana-4932	359	14	random	random	ADJ
cana-4932	359	15	channel	channel	NOUN
cana-4932	359	16	with	with	ADP
cana-4932	359	17	millimeter	millimeter	PROPN
cana-4932	359	18	wave	wave	PROPN
cana-4932	359	19	mimo	mimo	PROPN
cana-4932	359	20	,	,	PUNCT
cana-4932	359	21	whose	whose	DET
cana-4932	359	22	size	size	NOUN
cana-4932	359	23	and	and	CCONJ
cana-4932	359	24	phase	phase	NOUN
cana-4932	359	25	have	have	VERB
cana-4932	359	26	statistically	statistically	ADV
cana-4932	359	27	rayleigh	rayleigh	PROPN
cana-4932	359	28	and	and	CCONJ
cana-4932	359	29	uniform	uniform	ADJ
cana-4932	359	30	probability	probability	NOUN
cana-4932	359	31	distributions	distribution	NOUN
cana-4932	359	32	,	,	PUNCT
cana-4932	359	33	respectively	respectively	ADV
cana-4932	359	34	.	.	PUNCT
cana-4932	360	1	the	the	DET
cana-4932	360	2	telecommunication	telecommunication	NOUN
cana-4932	360	3	channel	channel	NOUN
cana-4932	360	4	exhibits	exhibit	VERB
cana-4932	360	5	flat	flat	ADJ
cana-4932	360	6	fading	fading	NOUN
cana-4932	360	7	and	and	CCONJ
cana-4932	360	8	only	only	ADV
cana-4932	360	9	considers	consider	VERB
cana-4932	360	10	the	the	DET
cana-4932	360	11	small	small	ADJ
cana-4932	360	12	-	-	PUNCT
cana-4932	360	13	scale	scale	NOUN
cana-4932	360	14	fading	fade	VERB
cana-4932	360	15	effect	effect	NOUN
cana-4932	360	16	within	within	ADP
cana-4932	360	17	it	it	PRON
cana-4932	360	18	.	.	PUNCT
cana-4932	361	1	according	accord	VERB
cana-4932	361	2	to	to	ADP
cana-4932	361	3	reference	reference	NOUN
cana-4932	361	4	[	[	X
cana-4932	361	5	66	66	NUM
cana-4932	361	6	]	]	PUNCT
cana-4932	361	7	,	,	PUNCT
cana-4932	361	8	𝛼𝑔.𝑚	𝛼𝑔.𝑚	NOUN
cana-4932	361	9	(	(	PUNCT
cana-4932	361	10	𝑙	𝑙	X
cana-4932	361	11	)	)	PUNCT
cana-4932	361	12	is	be	AUX
cana-4932	361	13	a	a	DET
cana-4932	361	14	random	random	ADJ
cana-4932	361	15	variable	variable	NOUN
cana-4932	361	16	representing	represent	VERB
cana-4932	361	17	the	the	DET
cana-4932	361	18	channel	channel	NOUN
cana-4932	361	19	coefficient	coefficient	NOUN
cana-4932	361	20	through	through	ADP
cana-4932	361	21	which	which	PRON
cana-4932	361	22	each	each	DET
cana-4932	361	23	receiver	receiver	NOUN
cana-4932	361	24	receives	receive	VERB
cana-4932	361	25	the	the	DET
cana-4932	361	26	transmitted	transmit	VERB
cana-4932	361	27	signal	signal	NOUN
cana-4932	361	28	along	along	ADP
cana-4932	361	29	that	that	DET
cana-4932	361	30	path	path	NOUN
cana-4932	361	31	.	.	PUNCT
cana-4932	362	1	statistically	statistically	ADV
cana-4932	362	2	,	,	PUNCT
cana-4932	362	3	for	for	ADP
cana-4932	362	4	both	both	CCONJ
cana-4932	362	5	direct	direct	ADJ
cana-4932	362	6	and	and	CCONJ
cana-4932	362	7	non	non	ADJ
cana-4932	362	8	-	-	ADJ
cana-4932	362	9	direct	direct	ADJ
cana-4932	362	10	paths	path	NOUN
cana-4932	362	11	,	,	PUNCT
cana-4932	362	12	they	they	PRON
cana-4932	362	13	have	have	VERB
cana-4932	362	14	different	different	ADJ
cana-4932	362	15	probability	probability	NOUN
cana-4932	362	16	distributions	distribution	NOUN
cana-4932	362	17	.	.	PUNCT
cana-4932	363	1	therefore	therefore	ADV
cana-4932	363	2	,	,	PUNCT
cana-4932	363	3	the	the	DET
cana-4932	363	4	assumption	assumption	NOUN
cana-4932	363	5	is	be	AUX
cana-4932	363	6	that	that	SCONJ
cana-4932	363	7	there	there	PRON
cana-4932	363	8	exists	exist	VERB
cana-4932	363	9	one	one	NUM
cana-4932	363	10	direct	direct	ADJ
cana-4932	363	11	path	path	NOUN
cana-4932	363	12	and	and	CCONJ
cana-4932	363	13	two	two	NUM
cana-4932	363	14	non	non	ADJ
cana-4932	363	15	-	-	ADJ
cana-4932	363	16	direct	direct	ADJ
cana-4932	363	17	paths	path	NOUN
cana-4932	363	18	among	among	ADP
cana-4932	363	19	the	the	DET
cana-4932	363	20	possible	possible	ADJ
cana-4932	363	21	paths	path	NOUN
cana-4932	363	22	for	for	ADP
cana-4932	363	23	signal	signal	ADJ
cana-4932	363	24	reception	reception	NOUN
cana-4932	363	25	.	.	PUNCT
cana-4932	364	1	the	the	DET
cana-4932	364	2	reason	reason	NOUN
cana-4932	364	3	for	for	ADP
cana-4932	364	4	considering	consider	VERB
cana-4932	364	5	only	only	ADV
cana-4932	364	6	two	two	NUM
cana-4932	364	7	non	non	ADJ
cana-4932	364	8	-	-	ADJ
cana-4932	364	9	direct	direct	ADJ
cana-4932	364	10	paths	path	NOUN
cana-4932	364	11	is	be	AUX
cana-4932	364	12	that	that	SCONJ
cana-4932	364	13	in	in	ADP
cana-4932	364	14	millimeter	millimeter	NOUN
cana-4932	364	15	-	-	PUNCT
cana-4932	364	16	wave	wave	NOUN
cana-4932	364	17	communication	communication	NOUN
cana-4932	364	18	systems	system	NOUN
cana-4932	364	19	,	,	PUNCT
cana-4932	364	20	the	the	DET
cana-4932	364	21	transmission	transmission	NOUN
cana-4932	364	22	frequency	frequency	NOUN
cana-4932	364	23	is	be	AUX
cana-4932	364	24	very	very	ADV
cana-4932	364	25	high	high	ADJ
cana-4932	364	26	,	,	PUNCT
cana-4932	364	27	typically	typically	ADV
cana-4932	364	28	in	in	ADP
cana-4932	364	29	the	the	DET
cana-4932	364	30	range	range	NOUN
cana-4932	364	31	of	of	ADP
cana-4932	364	32	several	several	ADJ
cana-4932	364	33	tens	ten	NOUN
cana-4932	364	34	of	of	ADP
cana-4932	364	35	gigahertz	gigahertz	NOUN
cana-4932	364	36	,	,	PUNCT
cana-4932	364	37	causing	cause	VERB
cana-4932	364	38	significant	significant	ADJ
cana-4932	364	39	signal	signal	NOUN
cana-4932	364	40	attenuation	attenuation	NOUN
cana-4932	364	41	in	in	ADP
cana-4932	364	42	non	non	ADJ
cana-4932	364	43	-	-	ADJ
cana-4932	364	44	line	line	ADJ
cana-4932	364	45	-	-	PUNCT
cana-4932	364	46	of	of	ADP
cana-4932	364	47	-	-	PUNCT
cana-4932	364	48	sight	sight	NOUN
cana-4932	364	49	(	(	PUNCT
cana-4932	364	50	nlos	nlo	NOUN
cana-4932	364	51	)	)	PUNCT
cana-4932	364	52	paths	path	NOUN
cana-4932	364	53	,	,	PUNCT
cana-4932	364	54	hence	hence	ADV
cana-4932	364	55	the	the	DET
cana-4932	364	56	effective	effective	ADJ
cana-4932	364	57	number	number	NOUN
cana-4932	364	58	of	of	ADP
cana-4932	364	59	non	non	ADJ
cana-4932	364	60	-	-	ADJ
cana-4932	364	61	direct	direct	ADJ
cana-4932	364	62	paths	path	NOUN
cana-4932	364	63	is	be	AUX
cana-4932	364	64	not	not	PART
cana-4932	364	65	significant	significant	ADJ
cana-4932	364	66	.	.	PUNCT
cana-4932	365	1	statistically	statistically	ADV
cana-4932	365	2	,	,	PUNCT
cana-4932	365	3	𝛼𝑔.𝑚	𝛼𝑔.𝑚	NOUN
cana-4932	365	4	(	(	PUNCT
cana-4932	365	5	𝑙	𝑙	X
cana-4932	365	6	)	)	PUNCT
cana-4932	365	7	follows	follow	VERB
cana-4932	365	8	complex	complex	ADJ
cana-4932	365	9	gaussian	gaussian	ADJ
cana-4932	365	10	distribution	distribution	NOUN
cana-4932	365	11	𝒞𝒩(0.1	𝒞𝒩(0.1	NOUN
cana-4932	365	12	)	)	PUNCT
cana-4932	365	13	in	in	ADP
cana-4932	365	14	the	the	DET
cana-4932	365	15	direct	direct	ADJ
cana-4932	365	16	path	path	NOUN
cana-4932	365	17	and	and	CCONJ
cana-4932	365	18	a	a	DET
cana-4932	365	19	complex	complex	ADJ
cana-4932	365	20	gaussian	gaussian	ADJ
cana-4932	365	21	distribution	distribution	NOUN
cana-4932	365	22	𝒞𝒩(0	𝒞𝒩(0	NOUN
cana-4932	365	23	.	.	PUNCT
cana-4932	366	1	10−1	10−1	NUM
cana-4932	366	2	)	)	PUNCT
cana-4932	366	3	in	in	ADP
cana-4932	366	4	both	both	DET
cana-4932	366	5	non	non	ADJ
cana-4932	366	6	-	-	ADJ
cana-4932	366	7	direct	direct	ADJ
cana-4932	366	8	paths	path	NOUN
cana-4932	366	9	.	.	PUNCT
cana-4932	367	1	the	the	DET
cana-4932	367	2	𝜑𝑔.𝑚	𝜑𝑔.𝑚	NOUN
cana-4932	367	3	(	(	PUNCT
cana-4932	367	4	𝑙	𝑙	X
cana-4932	367	5	)	)	PUNCT
cana-4932	367	6	is	be	AUX
cana-4932	367	7	a	a	DET
cana-4932	367	8	random	random	ADJ
cana-4932	367	9	variable	variable	NOUN
cana-4932	367	10	and	and	CCONJ
cana-4932	367	11	considered	consider	VERB
cana-4932	367	12	as	as	ADP
cana-4932	367	13	azimuth	azimuth	NOUN
cana-4932	367	14	angle	angle	NOUN
cana-4932	367	15	of	of	ADP
cana-4932	367	16	departure	departure	NOUN
cana-4932	367	17	of	of	ADP
cana-4932	367	18	the	the	DET
cana-4932	367	19	bs	bs	PROPN
cana-4932	367	20	transmitter	transmitter	NOUN
cana-4932	367	21	antenna	antenna	NOUN
cana-4932	367	22	array	array	NOUN
cana-4932	367	23	.	.	PUNCT
cana-4932	368	1	statistically	statistically	ADV
cana-4932	368	2	,	,	PUNCT
cana-4932	368	3	𝜑𝑔.𝑚	𝜑𝑔.𝑚	NOUN
cana-4932	368	4	(	(	PUNCT
cana-4932	368	5	𝑙	𝑙	X
cana-4932	368	6	)	)	PUNCT
cana-4932	368	7	has	have	VERB
cana-4932	368	8	a	a	DET
cana-4932	368	9	uniform	uniform	ADJ
cana-4932	368	10	distribution	distribution	NOUN
cana-4932	368	11	of	of	ADP
cana-4932	368	12	𝒰(−𝜋.	𝒰(−𝜋.	PRON
cana-4932	368	13	𝜋	𝜋	NOUN
cana-4932	368	14	)	)	PUNCT
cana-4932	368	15	.	.	PUNCT
cana-4932	369	1	according	accord	VERB
cana-4932	369	2	to	to	ADP
cana-4932	369	3	reference	reference	NOUN
cana-4932	369	4	[	[	X
cana-4932	369	5	58	58	NUM
cana-4932	369	6	]	]	PUNCT
cana-4932	369	7	,	,	PUNCT
cana-4932	369	8	the	the	DET
cana-4932	369	9	horizontal	horizontal	ADJ
cana-4932	369	10	distance	distance	NOUN
cana-4932	369	11	of	of	ADP
cana-4932	369	12	each	each	DET
cana-4932	369	13	transmitter	transmitter	NOUN
cana-4932	369	14	antenna	antenna	NOUN
cana-4932	369	15	(	(	PUNCT
cana-4932	369	16	𝑑	𝑑	NOUN
cana-4932	369	17	)	)	PUNCT
cana-4932	369	18	from	from	ADP
cana-4932	369	19	each	each	DET
cana-4932	369	20	other	other	ADJ
cana-4932	369	21	is	be	AUX
cana-4932	369	22	considered	consider	VERB
cana-4932	369	23	equal	equal	ADJ
cana-4932	369	24	to	to	ADP
cana-4932	369	25	half	half	DET
cana-4932	369	26	the	the	DET
cana-4932	369	27	wavelength	wavelength	NOUN
cana-4932	369	28	of	of	ADP
cana-4932	369	29	the	the	DET
cana-4932	369	30	transmitted	transmit	VERB
cana-4932	369	31	signal	signal	NOUN
cana-4932	369	32	.	.	PUNCT
cana-4932	370	1	the	the	DET
cana-4932	370	2	numerical	numerical	ADJ
cana-4932	370	3	values	value	NOUN
cana-4932	370	4	of	of	ADP
cana-4932	370	5	the	the	DET
cana-4932	370	6	input	input	NOUN
cana-4932	370	7	parameters	parameter	NOUN
cana-4932	370	8	of	of	ADP
cana-4932	370	9	the	the	DET
cana-4932	370	10	optimization	optimization	NOUN
cana-4932	370	11	problem	problem	NOUN
cana-4932	370	12	for	for	ADP
cana-4932	370	13	analysis	analysis	NOUN
cana-4932	370	14	and	and	CCONJ
cana-4932	370	15	simulation	simulation	NOUN
cana-4932	370	16	in	in	ADP
cana-4932	370	17	matlab	matlab	PROPN
cana-4932	370	18	software	software	NOUN
cana-4932	370	19	are	be	AUX
cana-4932	370	20	given	give	VERB
cana-4932	370	21	in	in	ADP
cana-4932	370	22	table	table	NOUN
cana-4932	370	23	1	1	NUM
cana-4932	370	24	-	-	SYM
cana-4932	370	25	4	4	NUM
cana-4932	370	26	communications	communication	NOUN
cana-4932	370	27	on	on	ADP
cana-4932	370	28	applied	apply	VERB
cana-4932	370	29	nonlinear	nonlinear	ADJ
cana-4932	370	30	analysis	analysis	NOUN
cana-4932	370	31	issn	issn	NOUN
cana-4932	370	32	:	:	PUNCT
cana-4932	370	33	1074	1074	NUM
cana-4932	370	34	-	-	PUNCT
cana-4932	370	35	133x	133x	NUM
cana-4932	370	36	vol	vol	VERB
cana-4932	370	37	32	32	NUM
cana-4932	370	38	no	no	NOUN
cana-4932	370	39	.	.	PUNCT
cana-4932	371	1	10s	10	NOUN
cana-4932	371	2	(	(	PUNCT
cana-4932	371	3	2025	2025	NUM
cana-4932	371	4	)	)	PUNCT
cana-4932	372	1	995	995	NUM
cana-4932	372	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	372	3	table	table	NOUN
cana-4932	372	4	4	4	NUM
cana-4932	372	5	-	-	SYM
cana-4932	372	6	1	1	NUM
cana-4932	372	7	numerical	numerical	ADJ
cana-4932	372	8	values	value	NOUN
cana-4932	372	9	of	of	ADP
cana-4932	372	10	simulation	simulation	NOUN
cana-4932	372	11	parameters	parameter	NOUN
cana-4932	372	12	.	.	PUNCT
cana-4932	373	1	parameter	parameter	PROPN
cana-4932	373	2	description	description	NOUN
cana-4932	373	3	numerical	numerical	PROPN
cana-4932	373	4	value	value	NOUN
cana-4932	373	5	𝑵	𝑵	PROPN
cana-4932	373	6	the	the	DET
cana-4932	373	7	number	number	NOUN
cana-4932	373	8	of	of	ADP
cana-4932	373	9	antennas	antenna	NOUN
cana-4932	373	10	at	at	ADP
cana-4932	373	11	the	the	DET
cana-4932	373	12	transmitter	transmitter	NOUN
cana-4932	373	13	base	base	NOUN
cana-4932	373	14	station	station	NOUN
cana-4932	373	15	64	64	NUM
cana-4932	373	16	𝑼	𝑼	ADJ
cana-4932	373	17	number	number	NOUN
cana-4932	373	18	of	of	ADP
cana-4932	373	19	single	single	ADJ
cana-4932	373	20	antenna	antenna	NOUN
cana-4932	373	21	secondary	secondary	ADJ
cana-4932	373	22	users	user	NOUN
cana-4932	373	23	24	24	NUM
cana-4932	373	24	𝑳𝒈.𝒎	𝑳𝒈.𝒎	NOUN
cana-4932	373	25	the	the	DET
cana-4932	373	26	possible	possible	ADJ
cana-4932	373	27	paths	path	NOUN
cana-4932	373	28	for	for	ADP
cana-4932	373	29	receiving	receive	VERB
cana-4932	373	30	the	the	DET
cana-4932	373	31	transmitted	transmit	VERB
cana-4932	373	32	signal	signal	NOUN
cana-4932	373	33	by	by	ADP
cana-4932	373	34	each	each	DET
cana-4932	373	35	primary	primary	ADJ
cana-4932	373	36	and	and	CCONJ
cana-4932	373	37	secondary	secondary	ADJ
cana-4932	373	38	receiver	receiver	NOUN
cana-4932	373	39	3	3	NUM
cana-4932	373	40	𝑮	𝑮	NOUN
cana-4932	373	41	the	the	DET
cana-4932	373	42	number	number	NOUN
cana-4932	373	43	of	of	ADP
cana-4932	373	44	clusters	cluster	NOUN
cana-4932	373	45	4	4	NUM
cana-4932	373	46	𝑰𝒕𝒉	𝑰𝒕𝒉	PROPN
cana-4932	373	47	interference	interference	NOUN
cana-4932	373	48	threshold	threshold	NOUN
cana-4932	373	49	determined	determine	VERB
cana-4932	373	50	from	from	ADP
cana-4932	373	51	the	the	DET
cana-4932	373	52	primary	primary	ADJ
cana-4932	373	53	user	user	NOUN
cana-4932	373	54	side	side	NOUN
cana-4932	373	55	-60	-60	PUNCT
cana-4932	373	56	db	db	PROPN
cana-4932	373	57	w	w	PROPN
cana-4932	373	58	𝑺𝑵𝑹	𝑺𝑵𝑹	PROPN
cana-4932	373	59	signal	signal	NOUN
cana-4932	373	60	-	-	PUNCT
cana-4932	373	61	to	to	ADP
cana-4932	373	62	-	-	PUNCT
cana-4932	373	63	noise	noise	NOUN
cana-4932	373	64	ratio	ratio	NOUN
cana-4932	373	65	10db	10db	NOUN
cana-4932	373	66	𝝈𝒗	𝝈𝒗	NOUN
cana-4932	373	67	𝟐	𝟐	NUM
cana-4932	373	68	the	the	DET
cana-4932	373	69	received	receive	VERB
cana-4932	373	70	noise	noise	NOUN
cana-4932	373	71	power	power	NOUN
cana-4932	373	72	in	in	ADP
cana-4932	373	73	the	the	DET
cana-4932	373	74	antenna	antenna	NOUN
cana-4932	373	75	of	of	ADP
cana-4932	373	76	each	each	DET
cana-4932	373	77	receiver	receiver	NOUN
cana-4932	373	78	-50	-50	PUNCT
cana-4932	373	79	db	db	PROPN
cana-4932	373	80	w	w	NOUN
cana-4932	373	81	𝑷𝒎𝒂𝒙	𝑷𝒎𝒂𝒙	PROPN
cana-4932	373	82	the	the	DET
cana-4932	373	83	maximum	maximum	ADJ
cana-4932	373	84	transmit	transmit	NOUN
cana-4932	373	85	power	power	NOUN
cana-4932	373	86	from	from	ADP
cana-4932	373	87	the	the	DET
cana-4932	373	88	base	base	NOUN
cana-4932	373	89	station	station	NOUN
cana-4932	373	90	transmitter	transmitter	NOUN
cana-4932	373	91	.	.	PUNCT
cana-4932	374	1	𝝈𝒗	𝝈𝒗	NOUN
cana-4932	374	2	𝟐	𝟐	NUM
cana-4932	374	3	×	×	NOUN
cana-4932	374	4	(	(	PUNCT
cana-4932	374	5	𝟏𝟎	𝟏𝟎	NUM
cana-4932	374	6	)	)	PUNCT
cana-4932	374	7	𝑺𝑵𝑹	𝑺𝑵𝑹	PROPN
cana-4932	374	8	𝟏𝟎	𝟏𝟎	NUM
cana-4932	374	9	𝜷	𝜷	NOUN
cana-4932	374	10	the	the	DET
cana-4932	374	11	impact	impact	NOUN
cana-4932	374	12	factor	factor	NOUN
cana-4932	374	13	of	of	ADP
cana-4932	374	14	the	the	DET
cana-4932	374	15	primary	primary	ADJ
cana-4932	374	16	user	user	NOUN
cana-4932	374	17	in	in	ADP
cana-4932	374	18	selecting	select	VERB
cana-4932	374	19	the	the	DET
cana-4932	374	20	cluster	cluster	NOUN
cana-4932	374	21	head	head	NOUN
cana-4932	374	22	in	in	ADP
cana-4932	374	23	clustering	clustering	ADJ
cana-4932	374	24	discussion	discussion	NOUN
cana-4932	374	25	0.5	0.5	NUM
cana-4932	374	26	𝜶	𝜶	ADP
cana-4932	374	27	the	the	DET
cana-4932	374	28	scaling	scaling	ADJ
cana-4932	374	29	factor	factor	NOUN
cana-4932	374	30	of	of	ADP
cana-4932	374	31	noma	noma	PROPN
cana-4932	374	32	power	power	NOUN
cana-4932	374	33	for	for	ADP
cana-4932	374	34	users	user	NOUN
cana-4932	374	35	within	within	ADP
cana-4932	374	36	each	each	DET
cana-4932	374	37	cluster	cluster	NOUN
cana-4932	374	38	10	10	NUM
cana-4932	374	39	𝑰𝒕𝒆𝒓𝒂𝒕𝒊𝒐𝒏	𝑰𝒕𝒆𝒓𝒂𝒕𝒊𝒐𝒏	PROPN
cana-4932	374	40	the	the	DET
cana-4932	374	41	number	number	NOUN
cana-4932	374	42	of	of	ADP
cana-4932	374	43	occurrences	occurrence	NOUN
cana-4932	374	44	of	of	ADP
cana-4932	374	45	random	random	ADJ
cana-4932	374	46	telecommunication	telecommunication	NOUN
cana-4932	374	47	channel	channel	NOUN
cana-4932	374	48	realizations	realization	NOUN
cana-4932	374	49	or	or	CCONJ
cana-4932	374	50	channel	channel	NOUN
cana-4932	374	51	state	state	NOUN
cana-4932	374	52	changes	change	NOUN
cana-4932	374	53	.	.	PUNCT
cana-4932	375	1	100	100	NUM
cana-4932	375	2	𝑪𝒐𝒖𝒏𝒕𝒆𝒓	𝑪𝒐𝒖𝒏𝒕𝒆𝒓	PROPN
cana-4932	375	3	the	the	DET
cana-4932	375	4	number	number	NOUN
cana-4932	375	5	of	of	ADP
cana-4932	375	6	iterations	iteration	NOUN
cana-4932	375	7	required	require	VERB
cana-4932	375	8	for	for	ADP
cana-4932	375	9	the	the	DET
cana-4932	375	10	convergence	convergence	NOUN
cana-4932	375	11	of	of	ADP
cana-4932	375	12	the	the	DET
cana-4932	375	13	cvx	cvx	PROPN
cana-4932	375	14	solver	solver	NOUN
cana-4932	375	15	algorithm	algorithm	NOUN
cana-4932	375	16	to	to	ADP
cana-4932	375	17	the	the	DET
cana-4932	375	18	optimal	optimal	ADJ
cana-4932	375	19	point	point	NOUN
cana-4932	375	20	in	in	ADP
cana-4932	375	21	the	the	DET
cana-4932	375	22	optimization	optimization	NOUN
cana-4932	375	23	problem	problem	NOUN
cana-4932	375	24	.	.	PUNCT
cana-4932	376	1	10	10	NUM
cana-4932	376	2	4	4	NUM
cana-4932	376	3	-	-	SYM
cana-4932	376	4	3	3	NUM
cana-4932	376	5	analysis	analysis	NOUN
cana-4932	376	6	of	of	ADP
cana-4932	376	7	simulation	simulation	NOUN
cana-4932	376	8	results	result	VERB
cana-4932	376	9	all	all	DET
cana-4932	376	10	simulations	simulation	NOUN
cana-4932	376	11	were	be	AUX
cana-4932	376	12	conducted	conduct	VERB
cana-4932	376	13	using	use	VERB
cana-4932	376	14	version	version	NOUN
cana-4932	376	15	r2015a	r2015a	PROPN
cana-4932	376	16	of	of	ADP
cana-4932	376	17	the	the	DET
cana-4932	376	18	matlab	matlab	PROPN
cana-4932	376	19	software	software	NOUN
cana-4932	376	20	on	on	ADP
cana-4932	376	21	a	a	DET
cana-4932	376	22	computer	computer	NOUN
cana-4932	376	23	system	system	NOUN
cana-4932	376	24	with	with	ADP
cana-4932	376	25	the	the	DET
cana-4932	376	26	following	follow	VERB
cana-4932	376	27	specifications	specification	NOUN
cana-4932	376	28	.	.	PUNCT
cana-4932	377	1	table	table	NOUN
cana-4932	377	2	4	4	NUM
cana-4932	377	3	-	-	SYM
cana-4932	377	4	2	2	NUM
cana-4932	377	5	:	:	PUNCT
cana-4932	377	6	complete	complete	ADJ
cana-4932	377	7	specifications	specification	NOUN
cana-4932	377	8	of	of	ADP
cana-4932	377	9	the	the	DET
cana-4932	377	10	computer	computer	NOUN
cana-4932	377	11	system	system	NOUN
cana-4932	377	12	used	use	VERB
cana-4932	377	13	for	for	ADP
cana-4932	377	14	conducting	conduct	VERB
cana-4932	377	15	the	the	DET
cana-4932	377	16	simulations	simulation	NOUN
cana-4932	377	17	.	.	PUNCT
cana-4932	378	1	manufacturer	manufacturer	NOUN
cana-4932	378	2	asustek	asustek	PROPN
cana-4932	378	3	computer	computer	PROPN
cana-4932	378	4	inc	inc	PROPN
cana-4932	378	5	windows	windows	PROPN
cana-4932	378	6	edition	edition	PROPN
cana-4932	378	7	windows	window	VERB
cana-4932	378	8	10	10	NUM
cana-4932	378	9	enterprise	enterprise	NOUN
cana-4932	378	10	processor	processor	NOUN
cana-4932	378	11	intel	intel	NOUN
cana-4932	378	12	®	®	NOUN
cana-4932	378	13	–	–	PUNCT
cana-4932	378	14	core	core	NOUN
cana-4932	378	15	™	™	ADJ
cana-4932	378	16	i7	i7	NOUN
cana-4932	378	17	-	-	PUNCT
cana-4932	378	18	6700k	6700k	NOUN
cana-4932	378	19	–	–	PUNCT
cana-4932	378	20	cpu@	cpu@	PROPN
cana-4932	378	21	4.00	4.00	NUM
cana-4932	378	22	ghz	ghz	NOUN
cana-4932	378	23	communications	communication	NOUN
cana-4932	378	24	on	on	ADP
cana-4932	378	25	applied	apply	VERB
cana-4932	378	26	nonlinear	nonlinear	ADJ
cana-4932	378	27	analysis	analysis	NOUN
cana-4932	378	28	issn	issn	NOUN
cana-4932	378	29	:	:	PUNCT
cana-4932	378	30	1074	1074	NUM
cana-4932	378	31	-	-	PUNCT
cana-4932	378	32	133x	133x	NUM
cana-4932	378	33	vol	vol	VERB
cana-4932	378	34	32	32	NUM
cana-4932	378	35	no	no	NOUN
cana-4932	378	36	.	.	PUNCT
cana-4932	379	1	10s	10	NOUN
cana-4932	379	2	(	(	PUNCT
cana-4932	379	3	2025	2025	NUM
cana-4932	379	4	)	)	PUNCT
cana-4932	379	5	996	996	NUM
cana-4932	379	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	379	7	ram	ram	NOUN
cana-4932	379	8	32.0	32.0	NUM
cana-4932	379	9	gb	gb	NOUN
cana-4932	379	10	system	system	NOUN
cana-4932	379	11	type	type	VERB
cana-4932	379	12	64	64	NUM
cana-4932	379	13	-	-	PUNCT
cana-4932	379	14	bit	bit	NOUN
cana-4932	379	15	operating	operate	VERB
cana-4932	379	16	system	system	NOUN
cana-4932	379	17	,	,	PUNCT
cana-4932	379	18	x64	x64	NOUN
cana-4932	379	19	-	-	PUNCT
cana-4932	379	20	based	base	VERB
cana-4932	379	21	processor	processor	NOUN
cana-4932	379	22	4	4	NUM
cana-4932	379	23	-	-	SYM
cana-4932	379	24	3	3	NUM
cana-4932	379	25	-	-	SYM
cana-4932	379	26	1	1	NUM
cana-4932	379	27	performance	performance	NOUN
cana-4932	379	28	results	result	NOUN
cana-4932	379	29	of	of	ADP
cana-4932	379	30	power	power	NOUN
cana-4932	379	31	management	management	NOUN
cana-4932	379	32	with	with	ADP
cana-4932	379	33	interference	interference	NOUN
cana-4932	379	34	threshold	threshold	NOUN
cana-4932	379	35	in	in	ADP
cana-4932	379	36	crmn	crmn	ADJ
cana-4932	379	37	system	system	NOUN
cana-4932	379	38	by	by	ADP
cana-4932	379	39	extending	extend	VERB
cana-4932	379	40	the	the	DET
cana-4932	379	41	convex	convex	PROPN
cana-4932	379	42	optimization	optimization	NOUN
cana-4932	379	43	problem	problem	NOUN
cana-4932	379	44	in	in	ADP
cana-4932	379	45	the	the	DET
cana-4932	379	46	radio	radio	NOUN
cana-4932	379	47	cognitive	cognitive	ADJ
cana-4932	379	48	domain	domain	NOUN
cana-4932	379	49	and	and	CCONJ
cana-4932	379	50	adding	add	VERB
cana-4932	379	51	the	the	DET
cana-4932	379	52	interference	interference	NOUN
cana-4932	379	53	threshold	threshold	NOUN
cana-4932	379	54	constraint	constraint	NOUN
cana-4932	379	55	under	under	ADP
cana-4932	379	56	the	the	DET
cana-4932	379	57	optimized	optimize	VERB
cana-4932	379	58	sub	sub	NOUN
cana-4932	379	59	-	-	NOUN
cana-4932	379	60	problem	problem	NOUN
cana-4932	379	61	as	as	SCONJ
cana-4932	379	62	discussed	discuss	VERB
cana-4932	379	63	in	in	ADP
cana-4932	379	64	the	the	DET
cana-4932	379	65	previous	previous	ADJ
cana-4932	379	66	chapter	chapter	NOUN
cana-4932	379	67	,	,	PUNCT
cana-4932	379	68	the	the	DET
cana-4932	379	69	optimization	optimization	NOUN
cana-4932	379	70	problem	problem	NOUN
cana-4932	379	71	in	in	ADP
cana-4932	379	72	𝑷𝟒	𝑷𝟒	PROPN
cana-4932	379	73	form	form	NOUN
cana-4932	379	74	was	be	AUX
cana-4932	379	75	obtained	obtain	VERB
cana-4932	379	76	.	.	PUNCT
cana-4932	380	1	𝐶4	𝐶4	PROPN
cana-4932	380	2	(	(	PUNCT
cana-4932	380	3	𝑝3):∑[‖𝒉𝒑𝒖𝒅𝒈‖2	𝑝3):∑[‖𝒉𝒑𝒖𝒅𝒈‖2	VERB
cana-4932	380	4	2	2	NUM
cana-4932	380	5	∑	∑	ADP
cana-4932	380	6	𝑝𝑔.𝑚	𝑝𝑔.𝑚	NOUN
cana-4932	380	7	𝑁𝑔	𝑁𝑔	PROPN
cana-4932	380	8	𝑚=1	𝑚=1	X
cana-4932	380	9	]	]	PUNCT
cana-4932	380	10	≤	≤	NUM
cana-4932	380	11	𝐼𝑡ℎ	𝐼𝑡ℎ	PROPN
cana-4932	380	12	𝐺	𝐺	PROPN
cana-4932	380	13	𝑔=1	𝑔=1	NOUN
cana-4932	380	14	.	.	PUNCT
cana-4932	381	1	∀𝑔.𝑚	∀𝑔.𝑚	PROPN
cana-4932	381	2	(	(	PUNCT
cana-4932	381	3	1	1	NUM
cana-4932	381	4	-	-	SYM
cana-4932	381	5	4	4	NUM
cana-4932	381	6	)	)	PUNCT
cana-4932	381	7	in	in	ADP
cana-4932	381	8	equation	equation	NOUN
cana-4932	381	9	(	(	PUNCT
cana-4932	381	10	1	1	NUM
cana-4932	381	11	-	-	SYM
cana-4932	381	12	4	4	NUM
cana-4932	381	13	)	)	PUNCT
cana-4932	381	14	,	,	PUNCT
cana-4932	381	15	the	the	DET
cana-4932	381	16	interference	interference	NOUN
cana-4932	381	17	threshold	threshold	NOUN
cana-4932	381	18	𝐼𝑡ℎis	𝐼𝑡ℎis	PROPN
cana-4932	381	19	defined	define	VERB
cana-4932	381	20	by	by	ADP
cana-4932	381	21	the	the	DET
cana-4932	381	22	primary	primary	ADJ
cana-4932	381	23	user	user	NOUN
cana-4932	381	24	.	.	PUNCT
cana-4932	382	1	by	by	ADP
cana-4932	382	2	defining	define	VERB
cana-4932	382	3	this	this	DET
cana-4932	382	4	threshold	threshold	NOUN
cana-4932	382	5	,	,	PUNCT
cana-4932	382	6	a	a	DET
cana-4932	382	7	significant	significant	ADJ
cana-4932	382	8	amount	amount	NOUN
cana-4932	382	9	of	of	ADP
cana-4932	382	10	incoming	incoming	ADJ
cana-4932	382	11	interference	interference	NOUN
cana-4932	382	12	to	to	ADP
cana-4932	382	13	the	the	DET
cana-4932	382	14	primary	primary	ADJ
cana-4932	382	15	user	user	NOUN
cana-4932	382	16	will	will	AUX
cana-4932	382	17	be	be	AUX
cana-4932	382	18	prevented	prevent	VERB
cana-4932	382	19	;	;	PUNCT
cana-4932	382	20	because	because	SCONJ
cana-4932	382	21	the	the	DET
cana-4932	382	22	base	base	NOUN
cana-4932	382	23	station	station	NOUN
cana-4932	382	24	manages	manage	VERB
cana-4932	382	25	the	the	DET
cana-4932	382	26	power	power	NOUN
cana-4932	382	27	to	to	PART
cana-4932	382	28	satisfy	satisfy	VERB
cana-4932	382	29	the	the	DET
cana-4932	382	30	𝐼𝑡ℎthreshold	𝐼𝑡ℎthreshold	PROPN
cana-4932	382	31	and	and	CCONJ
cana-4932	382	32	the	the	DET
cana-4932	382	33	interference	interference	NOUN
cana-4932	382	34	constraint	constraint	NOUN
cana-4932	382	35	,	,	PUNCT
cana-4932	382	36	and	and	CCONJ
cana-4932	382	37	the	the	DET
cana-4932	382	38	user	user	NOUN
cana-4932	382	39	equipment	equipment	NOUN
cana-4932	382	40	,	,	PUNCT
cana-4932	382	41	based	base	VERB
cana-4932	382	42	on	on	ADP
cana-4932	382	43	having	have	VERB
cana-4932	382	44	favorable	favorable	ADJ
cana-4932	382	45	conditions	condition	NOUN
cana-4932	382	46	in	in	ADP
cana-4932	382	47	its	its	PRON
cana-4932	382	48	channel	channel	NOUN
cana-4932	382	49	,	,	PUNCT
cana-4932	382	50	will	will	AUX
cana-4932	382	51	receive	receive	VERB
cana-4932	382	52	the	the	DET
cana-4932	382	53	signal	signal	NOUN
cana-4932	382	54	with	with	ADP
cana-4932	382	55	minimal	minimal	ADJ
cana-4932	382	56	interference	interference	NOUN
cana-4932	382	57	at	at	ADP
cana-4932	382	58	the	the	DET
cana-4932	382	59	receiver	receiver	NOUN
cana-4932	382	60	.	.	PUNCT
cana-4932	383	1	the	the	DET
cana-4932	383	2	range	range	NOUN
cana-4932	383	3	of	of	ADP
cana-4932	383	4	changes	change	NOUN
cana-4932	383	5	in	in	ADP
cana-4932	383	6	the	the	DET
cana-4932	383	7	interference	interference	NOUN
cana-4932	383	8	threshold	threshold	NOUN
cana-4932	383	9	is	be	AUX
cana-4932	383	10	between	between	ADP
cana-4932	383	11	10−10and	10−10and	NUM
cana-4932	383	12	10−6	10−6	NUM
cana-4932	383	13	.	.	PUNCT
cana-4932	384	1	pro1	pro1	NOUN
cana-4932	384	2	graph	graph	NOUN
cana-4932	384	3	represents	represent	VERB
cana-4932	384	4	the	the	DET
cana-4932	384	5	first	first	ADJ
cana-4932	384	6	proposed	propose	VERB
cana-4932	384	7	method	method	NOUN
cana-4932	384	8	in	in	ADP
cana-4932	384	9	this	this	DET
cana-4932	384	10	research	research	NOUN
cana-4932	384	11	.	.	PUNCT
cana-4932	385	1	in	in	ADP
cana-4932	385	2	this	this	DET
cana-4932	385	3	method	method	NOUN
cana-4932	385	4	,	,	PUNCT
cana-4932	385	5	due	due	ADP
cana-4932	385	6	to	to	ADP
cana-4932	385	7	the	the	DET
cana-4932	385	8	paper	paper	NOUN
cana-4932	385	9	topic	topic	NOUN
cana-4932	385	10	,	,	PUNCT
cana-4932	385	11	the	the	DET
cana-4932	385	12	energy	energy	NOUN
cana-4932	385	13	harvesting	harvesting	NOUN
cana-4932	385	14	process	process	NOUN
cana-4932	385	15	and	and	CCONJ
cana-4932	385	16	swipt	swipt	NOUN
cana-4932	385	17	reference	reference	NOUN
cana-4932	385	18	[	[	X
cana-4932	385	19	66	66	NUM
cana-4932	385	20	]	]	PUNCT
cana-4932	385	21	were	be	AUX
cana-4932	385	22	not	not	PART
cana-4932	385	23	considered	consider	VERB
cana-4932	385	24	,	,	PUNCT
cana-4932	385	25	and	and	CCONJ
cana-4932	385	26	the	the	DET
cana-4932	385	27	cognitive	cognitive	ADJ
cana-4932	385	28	radio	radio	NOUN
cana-4932	385	29	interference	interference	NOUN
cana-4932	385	30	constraint	constraint	NOUN
cana-4932	385	31	(	(	PUNCT
cana-4932	385	32	1	1	NUM
cana-4932	385	33	-	-	SYM
cana-4932	385	34	4	4	NUM
cana-4932	385	35	)	)	PUNCT
cana-4932	385	36	was	be	AUX
cana-4932	385	37	introduced	introduce	VERB
cana-4932	385	38	into	into	ADP
cana-4932	385	39	the	the	DET
cana-4932	385	40	problem	problem	NOUN
cana-4932	385	41	.	.	PUNCT
cana-4932	386	1	org	org	NOUN
cana-4932	387	1	[	[	X
cana-4932	387	2	66	66	NUM
cana-4932	387	3	]	]	PUNCT
cana-4932	387	4	illustrates	illustrate	VERB
cana-4932	387	5	the	the	DET
cana-4932	387	6	reference	reference	NOUN
cana-4932	387	7	graph	graph	NOUN
cana-4932	387	8	[	[	X
cana-4932	387	9	66	66	NUM
cana-4932	387	10	]	]	PUNCT
cana-4932	387	11	.	.	PUNCT
cana-4932	388	1	fig	fig	NOUN
cana-4932	388	2	4	4	NUM
cana-4932	388	3	-	-	SYM
cana-4932	388	4	1	1	NUM
cana-4932	388	5	:	:	PUNCT
cana-4932	388	6	comparison	comparison	NOUN
cana-4932	388	7	of	of	ADP
cana-4932	388	8	the	the	DET
cana-4932	388	9	spectral	spectral	ADJ
cana-4932	388	10	efficiency	efficiency	NOUN
cana-4932	388	11	curve	curve	NOUN
cana-4932	388	12	obtained	obtain	VERB
cana-4932	388	13	as	as	ADP
cana-4932	388	14	a	a	DET
cana-4932	388	15	function	function	NOUN
cana-4932	388	16	of	of	ADP
cana-4932	388	17	the	the	DET
cana-4932	388	18	interference	interference	NOUN
cana-4932	388	19	threshold	threshold	NOUN
cana-4932	388	20	and	and	CCONJ
cana-4932	388	21	the	the	DET
cana-4932	388	22	reference	reference	NOUN
cana-4932	388	23	[	[	X
cana-4932	388	24	66	66	NUM
cana-4932	388	25	]	]	PUNCT
cana-4932	388	26	.	.	PUNCT
cana-4932	389	1	communications	communication	NOUN
cana-4932	389	2	on	on	ADP
cana-4932	389	3	applied	apply	VERB
cana-4932	389	4	nonlinear	nonlinear	ADJ
cana-4932	389	5	analysis	analysis	NOUN
cana-4932	389	6	issn	issn	NOUN
cana-4932	389	7	:	:	PUNCT
cana-4932	389	8	1074	1074	NUM
cana-4932	389	9	-	-	PUNCT
cana-4932	389	10	133x	133x	NUM
cana-4932	389	11	vol	vol	VERB
cana-4932	389	12	32	32	NUM
cana-4932	389	13	no	no	NOUN
cana-4932	389	14	.	.	PUNCT
cana-4932	390	1	10s	10	NOUN
cana-4932	390	2	(	(	PUNCT
cana-4932	390	3	2025	2025	NUM
cana-4932	390	4	)	)	PUNCT
cana-4932	390	5	997	997	NUM
cana-4932	390	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	390	7	by	by	ADP
cana-4932	390	8	generalizing	generalize	VERB
cana-4932	390	9	the	the	DET
cana-4932	390	10	problem	problem	NOUN
cana-4932	390	11	and	and	CCONJ
cana-4932	390	12	bringing	bring	VERB
cana-4932	390	13	it	it	PRON
cana-4932	390	14	into	into	ADP
cana-4932	390	15	the	the	DET
cana-4932	390	16	cognitive	cognitive	ADJ
cana-4932	390	17	radio	radio	NOUN
cana-4932	390	18	domain	domain	NOUN
cana-4932	390	19	,	,	PUNCT
cana-4932	390	20	as	as	ADP
cana-4932	390	21	evident	evident	ADJ
cana-4932	390	22	in	in	ADP
cana-4932	390	23	the	the	DET
cana-4932	390	24	graphs	graph	NOUN
cana-4932	390	25	,	,	PUNCT
cana-4932	390	26	the	the	DET
cana-4932	390	27	system	system	NOUN
cana-4932	390	28	efficiency	efficiency	NOUN
cana-4932	390	29	decreases	decrease	VERB
cana-4932	390	30	significantly	significantly	ADV
cana-4932	390	31	due	due	ADP
cana-4932	390	32	to	to	ADP
cana-4932	390	33	the	the	DET
cana-4932	390	34	presence	presence	NOUN
cana-4932	390	35	of	of	ADP
cana-4932	390	36	the	the	DET
cana-4932	390	37	limiting	limit	VERB
cana-4932	390	38	power	power	NOUN
cana-4932	390	39	factor	factor	NOUN
cana-4932	390	40	,	,	PUNCT
cana-4932	390	41	which	which	PRON
cana-4932	390	42	is	be	AUX
cana-4932	390	43	the	the	DET
cana-4932	390	44	interference	interference	NOUN
cana-4932	390	45	constraint	constraint	NOUN
cana-4932	390	46	.	.	PUNCT
cana-4932	391	1	additionally	additionally	ADV
cana-4932	391	2	,	,	PUNCT
cana-4932	391	3	as	as	SCONJ
cana-4932	391	4	we	we	PRON
cana-4932	391	5	utilize	utilize	VERB
cana-4932	391	6	zero	zero	NUM
cana-4932	391	7	-	-	PUNCT
cana-4932	391	8	forcing	force	VERB
cana-4932	391	9	beam	beam	NOUN
cana-4932	391	10	-	-	PUNCT
cana-4932	391	11	forming	form	VERB
cana-4932	391	12	in	in	ADP
cana-4932	391	13	shaping	shape	VERB
cana-4932	391	14	the	the	DET
cana-4932	391	15	beam	beam	NOUN
cana-4932	391	16	,	,	PUNCT
cana-4932	391	17	the	the	DET
cana-4932	391	18	decrease	decrease	NOUN
cana-4932	391	19	in	in	ADP
cana-4932	391	20	system	system	NOUN
cana-4932	391	21	efficiency	efficiency	NOUN
cana-4932	391	22	,	,	PUNCT
cana-4932	391	23	especially	especially	ADV
cana-4932	391	24	at	at	ADP
cana-4932	391	25	low	low	ADJ
cana-4932	391	26	interference	interference	NOUN
cana-4932	391	27	thresholds	threshold	NOUN
cana-4932	391	28	,	,	PUNCT
cana-4932	391	29	will	will	AUX
cana-4932	391	30	be	be	AUX
cana-4932	391	31	more	more	ADV
cana-4932	391	32	pronounced	pronounce	VERB
cana-4932	391	33	,	,	PUNCT
cana-4932	391	34	and	and	CCONJ
cana-4932	391	35	the	the	DET
cana-4932	391	36	impact	impact	NOUN
cana-4932	391	37	of	of	ADP
cana-4932	391	38	the	the	DET
cana-4932	391	39	interference	interference	NOUN
cana-4932	391	40	constraint	constraint	NOUN
cana-4932	391	41	will	will	AUX
cana-4932	391	42	decrease	decrease	VERB
cana-4932	391	43	involuntarily	involuntarily	ADV
cana-4932	391	44	with	with	ADP
cana-4932	391	45	an	an	DET
cana-4932	391	46	increase	increase	NOUN
cana-4932	391	47	in	in	ADP
cana-4932	391	48	the	the	DET
cana-4932	391	49	threshold	threshold	NOUN
cana-4932	391	50	.	.	PUNCT
cana-4932	392	1	we	we	PRON
cana-4932	392	2	acknowledge	acknowledge	VERB
cana-4932	392	3	the	the	DET
cana-4932	392	4	reduced	reduce	VERB
cana-4932	392	5	system	system	NOUN
cana-4932	392	6	throughput	throughput	NOUN
cana-4932	392	7	compared	compare	VERB
cana-4932	392	8	to	to	ADP
cana-4932	392	9	the	the	DET
cana-4932	392	10	reference	reference	NOUN
cana-4932	392	11	[	[	X
cana-4932	392	12	66	66	NUM
cana-4932	392	13	]	]	PUNCT
cana-4932	392	14	because	because	SCONJ
cana-4932	392	15	our	our	PRON
cana-4932	392	16	network	network	NOUN
cana-4932	392	17	is	be	AUX
cana-4932	392	18	a	a	DET
cana-4932	392	19	cognitive	cognitive	ADJ
cana-4932	392	20	radio	radio	NOUN
cana-4932	392	21	network	network	NOUN
cana-4932	392	22	,	,	PUNCT
cana-4932	392	23	and	and	CCONJ
cana-4932	392	24	to	to	PART
cana-4932	392	25	prevent	prevent	VERB
cana-4932	392	26	incoming	incoming	ADJ
cana-4932	392	27	interferences	interference	NOUN
cana-4932	392	28	to	to	ADP
cana-4932	392	29	the	the	DET
cana-4932	392	30	primary	primary	ADJ
cana-4932	392	31	user	user	NOUN
cana-4932	392	32	,	,	PUNCT
cana-4932	392	33	it	it	PRON
cana-4932	392	34	is	be	AUX
cana-4932	392	35	necessary	necessary	ADJ
cana-4932	392	36	to	to	PART
cana-4932	392	37	define	define	VERB
cana-4932	392	38	an	an	DET
cana-4932	392	39	interference	interference	NOUN
cana-4932	392	40	threshold	threshold	NOUN
cana-4932	392	41	so	so	SCONJ
cana-4932	392	42	that	that	SCONJ
cana-4932	392	43	the	the	DET
cana-4932	392	44	primary	primary	ADJ
cana-4932	392	45	user	user	NOUN
cana-4932	392	46	can	can	AUX
cana-4932	392	47	receive	receive	VERB
cana-4932	392	48	its	its	PRON
cana-4932	392	49	signal	signal	NOUN
cana-4932	392	50	without	without	ADP
cana-4932	392	51	interference	interference	NOUN
cana-4932	392	52	in	in	ADP
cana-4932	392	53	their	their	PRON
cana-4932	392	54	receivers	receiver	NOUN
cana-4932	392	55	.	.	PUNCT
cana-4932	393	1	however	however	ADV
cana-4932	393	2	,	,	PUNCT
cana-4932	393	3	the	the	DET
cana-4932	393	4	decrease	decrease	NOUN
cana-4932	393	5	in	in	ADP
cana-4932	393	6	spectral	spectral	ADJ
cana-4932	393	7	efficiency	efficiency	NOUN
cana-4932	393	8	of	of	ADP
cana-4932	393	9	the	the	DET
cana-4932	393	10	system	system	NOUN
cana-4932	393	11	,	,	PUNCT
cana-4932	393	12	especially	especially	ADV
cana-4932	393	13	at	at	ADP
cana-4932	393	14	low	low	ADJ
cana-4932	393	15	thresholds	threshold	NOUN
cana-4932	393	16	,	,	PUNCT
cana-4932	393	17	leads	lead	VERB
cana-4932	393	18	to	to	ADP
cana-4932	393	19	a	a	DET
cana-4932	393	20	loss	loss	NOUN
cana-4932	393	21	of	of	ADP
cana-4932	393	22	significant	significant	ADJ
cana-4932	393	23	data	datum	NOUN
cana-4932	393	24	rates	rate	NOUN
cana-4932	393	25	.	.	PUNCT
cana-4932	394	1	therefore	therefore	ADV
cana-4932	394	2	,	,	PUNCT
cana-4932	394	3	in	in	ADP
cana-4932	394	4	the	the	DET
cana-4932	394	5	proposed	propose	VERB
cana-4932	394	6	methods	method	NOUN
cana-4932	394	7	discussed	discuss	VERB
cana-4932	394	8	later	later	ADV
cana-4932	394	9	,	,	PUNCT
cana-4932	394	10	our	our	PRON
cana-4932	394	11	aim	aim	NOUN
cana-4932	394	12	is	be	AUX
cana-4932	394	13	to	to	PART
cana-4932	394	14	enhance	enhance	VERB
cana-4932	394	15	the	the	DET
cana-4932	394	16	spectral	spectral	ADJ
cana-4932	394	17	efficiency	efficiency	NOUN
cana-4932	394	18	of	of	ADP
cana-4932	394	19	the	the	DET
cana-4932	394	20	system	system	NOUN
cana-4932	394	21	as	as	ADV
cana-4932	394	22	much	much	ADV
cana-4932	394	23	as	as	ADP
cana-4932	394	24	possible	possible	ADJ
cana-4932	394	25	.	.	PUNCT
cana-4932	395	1	4	4	NUM
cana-4932	395	2	-	-	SYM
cana-4932	395	3	3	3	NUM
cana-4932	395	4	-	-	SYM
cana-4932	395	5	2	2	NUM
cana-4932	395	6	results	result	NOUN
cana-4932	395	7	of	of	ADP
cana-4932	395	8	cluster	cluster	NOUN
cana-4932	395	9	head	head	NOUN
cana-4932	395	10	selection	selection	NOUN
cana-4932	395	11	considering	consider	VERB
cana-4932	395	12	the	the	DET
cana-4932	395	13	initial	initial	ADJ
cana-4932	395	14	user	user	NOUN
cana-4932	395	15	status	status	NOUN
cana-4932	395	16	the	the	DET
cana-4932	395	17	cognitive	cognitive	ADJ
cana-4932	395	18	radio	radio	NOUN
cana-4932	395	19	network	network	NOUN
cana-4932	395	20	in	in	ADP
cana-4932	395	21	this	this	DET
cana-4932	395	22	paper	paper	NOUN
cana-4932	395	23	is	be	AUX
cana-4932	395	24	composed	compose	VERB
cana-4932	395	25	of	of	ADP
cana-4932	395	26	several	several	ADJ
cana-4932	395	27	secondary	secondary	ADJ
cana-4932	395	28	users	user	NOUN
cana-4932	395	29	and	and	CCONJ
cana-4932	395	30	one	one	NUM
cana-4932	395	31	primary	primary	ADJ
cana-4932	395	32	user	user	NOUN
cana-4932	395	33	.	.	PUNCT
cana-4932	396	1	therefore	therefore	ADV
cana-4932	396	2	,	,	PUNCT
cana-4932	396	3	it	it	PRON
cana-4932	396	4	is	be	AUX
cana-4932	396	5	important	important	ADJ
cana-4932	396	6	not	not	PART
cana-4932	396	7	to	to	PART
cana-4932	396	8	select	select	VERB
cana-4932	396	9	users	user	NOUN
cana-4932	396	10	who	who	PRON
cana-4932	396	11	are	be	AUX
cana-4932	396	12	in	in	ADP
cana-4932	396	13	the	the	DET
cana-4932	396	14	vicinity	vicinity	NOUN
cana-4932	396	15	of	of	ADP
cana-4932	396	16	the	the	DET
cana-4932	396	17	primary	primary	ADJ
cana-4932	396	18	user	user	NOUN
cana-4932	396	19	and	and	CCONJ
cana-4932	396	20	meet	meet	VERB
cana-4932	396	21	the	the	DET
cana-4932	396	22	cluster	cluster	NOUN
cana-4932	396	23	heading	head	VERB
cana-4932	396	24	conditions	condition	NOUN
cana-4932	396	25	as	as	ADP
cana-4932	396	26	cluster	cluster	NOUN
cana-4932	396	27	heads	head	NOUN
cana-4932	396	28	,	,	PUNCT
cana-4932	396	29	in	in	ADP
cana-4932	396	30	order	order	NOUN
cana-4932	396	31	to	to	PART
cana-4932	396	32	minimize	minimize	VERB
cana-4932	396	33	the	the	DET
cana-4932	396	34	impact	impact	NOUN
cana-4932	396	35	on	on	ADP
cana-4932	396	36	pu	pu	PROPN
cana-4932	396	37	.	.	PROPN
cana-4932	397	1	as	as	SCONJ
cana-4932	397	2	mentioned	mention	VERB
cana-4932	397	3	in	in	ADP
cana-4932	397	4	algorithm	algorithm	NOUN
cana-4932	397	5	1	1	NUM
cana-4932	397	6	and	and	CCONJ
cana-4932	397	7	also	also	ADV
cana-4932	397	8	alluded	allude	VERB
cana-4932	397	9	to	to	ADP
cana-4932	397	10	in	in	ADP
cana-4932	397	11	chapter	chapter	NOUN
cana-4932	397	12	3	3	NUM
cana-4932	397	13	,	,	PUNCT
cana-4932	397	14	we	we	PRON
cana-4932	397	15	consider	consider	VERB
cana-4932	397	16	the	the	DET
cana-4932	397	17	presence	presence	NOUN
cana-4932	397	18	of	of	ADP
cana-4932	397	19	pu	pu	PROPN
cana-4932	397	20	in	in	ADP
cana-4932	397	21	the	the	DET
cana-4932	397	22	correlation	correlation	NOUN
cana-4932	397	23	relationship	relationship	NOUN
cana-4932	397	24	among	among	ADP
cana-4932	397	25	cluster	cluster	NOUN
cana-4932	397	26	head	head	NOUN
cana-4932	397	27	channel	channel	NOUN
cana-4932	397	28	and	and	CCONJ
cana-4932	397	29	other	other	ADJ
cana-4932	397	30	cognitive	cognitive	ADJ
cana-4932	397	31	users	user	NOUN
cana-4932	397	32	.	.	PUNCT
cana-4932	398	1	by	by	ADP
cana-4932	398	2	doing	do	VERB
cana-4932	398	3	so	so	ADV
cana-4932	398	4	,	,	PUNCT
cana-4932	398	5	when	when	SCONJ
cana-4932	398	6	calculating	calculate	VERB
cana-4932	398	7	the	the	DET
cana-4932	398	8	correlation	correlation	NOUN
cana-4932	398	9	of	of	ADP
cana-4932	398	10	users	user	NOUN
cana-4932	398	11	with	with	ADP
cana-4932	398	12	cluster	cluster	NOUN
cana-4932	398	13	heads	head	NOUN
cana-4932	398	14	,	,	PUNCT
cana-4932	398	15	the	the	DET
cana-4932	398	16	influence	influence	NOUN
cana-4932	398	17	of	of	ADP
cana-4932	398	18	other	other	ADJ
cana-4932	398	19	cognitive	cognitive	ADJ
cana-4932	398	20	users	user	NOUN
cana-4932	398	21	on	on	ADP
cana-4932	398	22	pu	pu	PROPN
cana-4932	398	23	is	be	AUX
cana-4932	398	24	reduced	reduce	VERB
cana-4932	398	25	.	.	PUNCT
cana-4932	399	1	in	in	ADP
cana-4932	399	2	the	the	DET
cana-4932	399	3	simulations	simulation	NOUN
cana-4932	399	4	,	,	PUNCT
cana-4932	399	5	we	we	PRON
cana-4932	399	6	utilized	utilize	VERB
cana-4932	399	7	zero	zero	NUM
cana-4932	399	8	-	-	PUNCT
cana-4932	399	9	forcing	force	VERB
cana-4932	399	10	precoding	precoding	NOUN
cana-4932	399	11	during	during	ADP
cana-4932	399	12	beam	beam	NOUN
cana-4932	399	13	-	-	PUNCT
cana-4932	399	14	forming	form	VERB
cana-4932	399	15	.	.	PUNCT
cana-4932	400	1	now	now	ADV
cana-4932	400	2	,	,	PUNCT
cana-4932	400	3	we	we	PRON
cana-4932	400	4	aim	aim	VERB
cana-4932	400	5	to	to	PART
cana-4932	400	6	investigate	investigate	VERB
cana-4932	400	7	the	the	DET
cana-4932	400	8	impact	impact	NOUN
cana-4932	400	9	of	of	ADP
cana-4932	400	10	algorithm	algorithm	NOUN
cana-4932	400	11	1	1	NUM
cana-4932	400	12	on	on	ADP
cana-4932	400	13	the	the	DET
cana-4932	400	14	performance	performance	NOUN
cana-4932	400	15	and	and	CCONJ
cana-4932	400	16	behavior	behavior	NOUN
cana-4932	400	17	of	of	ADP
cana-4932	400	18	the	the	DET
cana-4932	400	19	system	system	NOUN
cana-4932	400	20	from	from	ADP
cana-4932	400	21	various	various	ADJ
cana-4932	400	22	aspects	aspect	NOUN
cana-4932	400	23	;	;	PUNCT
cana-4932	400	24	hence	hence	ADV
cana-4932	400	25	,	,	PUNCT
cana-4932	400	26	we	we	PRON
cana-4932	400	27	consider	consider	VERB
cana-4932	400	28	the	the	DET
cana-4932	400	29	interference	interference	NOUN
cana-4932	400	30	constraint	constraint	NOUN
cana-4932	400	31	of	of	ADP
cana-4932	400	32	cognitive	cognitive	ADJ
cana-4932	400	33	radio	radio	NOUN
cana-4932	400	34	for	for	ADP
cana-4932	400	35	all	all	DET
cana-4932	400	36	graphs	graph	NOUN
cana-4932	400	37	,	,	PUNCT
cana-4932	400	38	and	and	CCONJ
cana-4932	400	39	compare	compare	VERB
cana-4932	400	40	this	this	DET
cana-4932	400	41	proposed	propose	VERB
cana-4932	400	42	method	method	NOUN
cana-4932	400	43	with	with	ADP
cana-4932	400	44	three	three	NUM
cana-4932	400	45	graphs	graph	NOUN
cana-4932	400	46	that	that	PRON
cana-4932	400	47	will	will	AUX
cana-4932	400	48	be	be	AUX
cana-4932	400	49	introduced	introduce	VERB
cana-4932	400	50	subsequently	subsequently	ADV
cana-4932	400	51	.	.	PUNCT
cana-4932	401	1	it	it	PRON
cana-4932	401	2	is	be	AUX
cana-4932	401	3	worth	worth	ADJ
cana-4932	401	4	mentioning	mention	VERB
cana-4932	401	5	that	that	SCONJ
cana-4932	401	6	at	at	ADP
cana-4932	401	7	each	each	DET
cana-4932	401	8	stage	stage	NOUN
cana-4932	401	9	of	of	ADP
cana-4932	401	10	the	the	DET
cana-4932	401	11	proposed	propose	VERB
cana-4932	401	12	methods	method	NOUN
cana-4932	401	13	,	,	PUNCT
cana-4932	401	14	the	the	DET
cana-4932	401	15	influence	influence	NOUN
cana-4932	401	16	of	of	ADP
cana-4932	401	17	the	the	DET
cana-4932	401	18	previous	previous	ADJ
cana-4932	401	19	proposed	propose	VERB
cana-4932	401	20	method	method	NOUN
cana-4932	401	21	is	be	AUX
cana-4932	401	22	taken	take	VERB
cana-4932	401	23	into	into	ADP
cana-4932	401	24	account	account	NOUN
cana-4932	401	25	in	in	ADP
cana-4932	401	26	the	the	DET
cana-4932	401	27	simulation	simulation	NOUN
cana-4932	401	28	process	process	NOUN
cana-4932	401	29	.	.	PUNCT
cana-4932	402	1	fig	fig	NOUN
cana-4932	402	2	.	.	PUNCT
cana-4932	403	1	4	4	NUM
cana-4932	403	2	-	-	SYM
cana-4932	403	3	2	2	NUM
cana-4932	403	4	:	:	PUNCT
cana-4932	403	5	compares	compare	VERB
cana-4932	403	6	the	the	DET
cana-4932	403	7	spectral	spectral	ADJ
cana-4932	403	8	efficiency	efficiency	NOUN
cana-4932	403	9	curve	curve	NOUN
cana-4932	403	10	obtained	obtain	VERB
cana-4932	403	11	as	as	ADP
cana-4932	403	12	a	a	DET
cana-4932	403	13	function	function	NOUN
cana-4932	403	14	of	of	ADP
cana-4932	403	15	the	the	DET
cana-4932	403	16	interference	interference	NOUN
cana-4932	403	17	threshold	threshold	NOUN
cana-4932	403	18	in	in	ADP
cana-4932	403	19	the	the	DET
cana-4932	403	20	reference	reference	NOUN
cana-4932	403	21	method	method	NOUN
cana-4932	403	22	[	[	X
cana-4932	403	23	66	66	NUM
cana-4932	403	24	]	]	PUNCT
cana-4932	403	25	for	for	ADP
cana-4932	403	26	selecting	select	VERB
cana-4932	403	27	the	the	DET
cana-4932	403	28	cluster	cluster	NOUN
cana-4932	403	29	head	head	NOUN
cana-4932	403	30	with	with	ADP
cana-4932	403	31	our	our	PRON
cana-4932	403	32	proposed	propose	VERB
cana-4932	403	33	new	new	ADJ
cana-4932	403	34	method	method	NOUN
cana-4932	403	35	to	to	PART
cana-4932	403	36	prevent	prevent	VERB
cana-4932	403	37	neighboring	neighboring	NOUN
cana-4932	403	38	users	user	NOUN
cana-4932	403	39	of	of	ADP
cana-4932	403	40	the	the	DET
cana-4932	403	41	initial	initial	ADJ
cana-4932	403	42	user	user	NOUN
cana-4932	403	43	from	from	ADP
cana-4932	403	44	being	be	AUX
cana-4932	403	45	selected	select	VERB
cana-4932	403	46	as	as	ADP
cana-4932	403	47	the	the	DET
cana-4932	403	48	cluster	cluster	NOUN
cana-4932	403	49	head	head	NOUN
cana-4932	403	50	.	.	PUNCT
cana-4932	404	1	communications	communication	NOUN
cana-4932	404	2	on	on	ADP
cana-4932	404	3	applied	apply	VERB
cana-4932	404	4	nonlinear	nonlinear	ADJ
cana-4932	404	5	analysis	analysis	NOUN
cana-4932	404	6	issn	issn	NOUN
cana-4932	404	7	:	:	PUNCT
cana-4932	404	8	1074	1074	NUM
cana-4932	404	9	-	-	PUNCT
cana-4932	404	10	133x	133x	NUM
cana-4932	404	11	vol	vol	VERB
cana-4932	404	12	32	32	NUM
cana-4932	404	13	no	no	NOUN
cana-4932	404	14	.	.	PUNCT
cana-4932	405	1	10s	10	NOUN
cana-4932	405	2	(	(	PUNCT
cana-4932	405	3	2025	2025	NUM
cana-4932	405	4	)	)	PUNCT
cana-4932	405	5	998	998	NUM
cana-4932	405	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	405	7	the	the	DET
cana-4932	405	8	pro1	pro1	NOUN
cana-4932	405	9	chart	chart	NOUN
cana-4932	405	10	is	be	AUX
cana-4932	405	11	an	an	DET
cana-4932	405	12	identifier	identifier	NOUN
cana-4932	405	13	of	of	ADP
cana-4932	405	14	the	the	DET
cana-4932	405	15	first	first	ADJ
cana-4932	405	16	proposed	propose	VERB
cana-4932	405	17	method	method	NOUN
cana-4932	405	18	.	.	PUNCT
cana-4932	406	1	in	in	ADP
cana-4932	406	2	this	this	DET
cana-4932	406	3	section	section	NOUN
cana-4932	406	4	,	,	PUNCT
cana-4932	406	5	our	our	PRON
cana-4932	406	6	attempt	attempt	NOUN
cana-4932	406	7	is	be	AUX
cana-4932	406	8	to	to	PART
cana-4932	406	9	explain	explain	VERB
cana-4932	406	10	in	in	ADP
cana-4932	406	11	detail	detail	NOUN
cana-4932	406	12	the	the	DET
cana-4932	406	13	steps	step	NOUN
cana-4932	406	14	of	of	ADP
cana-4932	406	15	adding	add	VERB
cana-4932	406	16	sub	sub	NOUN
cana-4932	406	17	-	-	NOUN
cana-4932	406	18	steps	step	NOUN
cana-4932	406	19	to	to	ADP
cana-4932	406	20	the	the	DET
cana-4932	406	21	first	first	ADJ
cana-4932	406	22	proposed	propose	VERB
cana-4932	406	23	method	method	NOUN
cana-4932	406	24	and	and	CCONJ
cana-4932	406	25	reaching	reach	VERB
cana-4932	406	26	the	the	DET
cana-4932	406	27	second	second	ADJ
cana-4932	406	28	proposed	propose	VERB
cana-4932	406	29	method	method	NOUN
cana-4932	406	30	,	,	PUNCT
cana-4932	406	31	which	which	PRON
cana-4932	406	32	is	be	AUX
cana-4932	406	33	algorithm	algorithm	NOUN
cana-4932	406	34	1	1	NUM
cana-4932	406	35	.	.	PUNCT
cana-4932	407	1	step	step	NOUN
cana-4932	407	2	1	1	NUM
cana-4932	407	3	:	:	PUNCT
cana-4932	407	4	in	in	ADP
cana-4932	407	5	this	this	DET
cana-4932	407	6	stage	stage	NOUN
cana-4932	407	7	,	,	PUNCT
cana-4932	407	8	as	as	SCONJ
cana-4932	407	9	mentioned	mention	VERB
cana-4932	407	10	above	above	ADV
cana-4932	407	11	,	,	PUNCT
cana-4932	407	12	in	in	ADP
cana-4932	407	13	the	the	DET
cana-4932	407	14	cluster	cluster	NOUN
cana-4932	407	15	head	head	NOUN
cana-4932	407	16	selection	selection	NOUN
cana-4932	407	17	section	section	NOUN
cana-4932	407	18	,	,	PUNCT
cana-4932	407	19	attention	attention	NOUN
cana-4932	407	20	is	be	AUX
cana-4932	407	21	paid	pay	VERB
cana-4932	407	22	to	to	ADP
cana-4932	407	23	the	the	DET
cana-4932	407	24	problem	problem	NOUN
cana-4932	407	25	of	of	ADP
cana-4932	407	26	neighboring	neighboring	NOUN
cana-4932	407	27	users	user	NOUN
cana-4932	407	28	of	of	ADP
cana-4932	407	29	the	the	DET
cana-4932	407	30	initial	initial	ADJ
cana-4932	407	31	user	user	NOUN
cana-4932	407	32	in	in	ADP
cana-4932	407	33	a	a	DET
cana-4932	407	34	way	way	NOUN
cana-4932	407	35	that	that	PRON
cana-4932	407	36	these	these	DET
cana-4932	407	37	users	user	NOUN
cana-4932	407	38	are	be	AUX
cana-4932	407	39	not	not	PART
cana-4932	407	40	selected	select	VERB
cana-4932	407	41	as	as	ADP
cana-4932	407	42	cluster	cluster	NOUN
cana-4932	407	43	heads	head	NOUN
cana-4932	407	44	.	.	PUNCT
cana-4932	408	1	according	accord	VERB
cana-4932	408	2	to	to	ADP
cana-4932	408	3	fig	fig	NOUN
cana-4932	408	4	.	.	PUNCT
cana-4932	409	1	4	4	NUM
cana-4932	409	2	-	-	SYM
cana-4932	409	3	2	2	NUM
cana-4932	409	4	of	of	ADP
cana-4932	409	5	pro1	pro1	NOUN
cana-4932	409	6	+	+	CCONJ
cana-4932	409	7	betta	betta	ADJ
cana-4932	409	8	,	,	PUNCT
cana-4932	409	9	a	a	DET
cana-4932	409	10	diagram	diagram	NOUN
cana-4932	409	11	is	be	AUX
cana-4932	409	12	presented	present	VERB
cana-4932	409	13	considering	consider	VERB
cana-4932	409	14	the	the	DET
cana-4932	409	15	correlation	correlation	NOUN
cana-4932	409	16	between	between	ADP
cana-4932	409	17	cluster	cluster	NOUN
cana-4932	409	18	heads	head	NOUN
cana-4932	409	19	and	and	CCONJ
cana-4932	409	20	other	other	ADJ
cana-4932	409	21	remaining	remain	VERB
cana-4932	409	22	users	user	NOUN
cana-4932	409	23	,	,	PUNCT
cana-4932	409	24	where	where	SCONJ
cana-4932	409	25	𝛽	𝛽	NOUN
cana-4932	409	26	=	=	NOUN
cana-4932	409	27	0.5	0.5	NUM
cana-4932	409	28	.	.	PUNCT
cana-4932	410	1	as	as	ADV
cana-4932	410	2	clearly	clearly	ADV
cana-4932	410	3	shown	show	VERB
cana-4932	410	4	in	in	ADP
cana-4932	410	5	the	the	DET
cana-4932	410	6	fig	fig	NOUN
cana-4932	410	7	.	.	PUNCT
cana-4932	410	8	,	,	PUNCT
cana-4932	410	9	at	at	ADP
cana-4932	410	10	low	low	ADJ
cana-4932	410	11	interference	interference	NOUN
cana-4932	410	12	thresholds	threshold	NOUN
cana-4932	410	13	,	,	PUNCT
cana-4932	410	14	due	due	ADP
cana-4932	410	15	to	to	ADP
cana-4932	410	16	channels	channel	NOUN
cana-4932	410	17	not	not	PART
cana-4932	410	18	being	be	AUX
cana-4932	410	19	in	in	ADP
cana-4932	410	20	a	a	DET
cana-4932	410	21	favorable	favorable	ADJ
cana-4932	410	22	state	state	NOUN
cana-4932	410	23	and	and	CCONJ
cana-4932	410	24	being	be	AUX
cana-4932	410	25	weak	weak	ADJ
cana-4932	410	26	channels	channel	NOUN
cana-4932	410	27	,	,	PUNCT
cana-4932	410	28	the	the	DET
cana-4932	410	29	signal	signal	NOUN
cana-4932	410	30	-	-	PUNCT
cana-4932	410	31	to	to	ADP
cana-4932	410	32	-	-	PUNCT
cana-4932	410	33	noise	noise	NOUN
cana-4932	410	34	ratio	ratio	NOUN
cana-4932	410	35	,	,	PUNCT
cana-4932	410	36	plus	plus	CCONJ
cana-4932	410	37	interference	interference	NOUN
cana-4932	410	38	,	,	PUNCT
cana-4932	410	39	is	be	AUX
cana-4932	410	40	low	low	ADJ
cana-4932	410	41	,	,	PUNCT
cana-4932	410	42	and	and	CCONJ
cana-4932	410	43	the	the	DET
cana-4932	410	44	use	use	NOUN
cana-4932	410	45	of	of	ADP
cana-4932	410	46	the	the	DET
cana-4932	410	47	zero	zero	NUM
cana-4932	410	48	-	-	PUNCT
cana-4932	410	49	forcing	force	VERB
cana-4932	410	50	criterion	criterion	NOUN
cana-4932	410	51	has	have	AUX
cana-4932	410	52	reinforced	reinforce	VERB
cana-4932	410	53	channel	channel	NOUN
cana-4932	410	54	noise	noise	NOUN
cana-4932	410	55	in	in	ADP
cana-4932	410	56	these	these	DET
cana-4932	410	57	thresholds	threshold	NOUN
cana-4932	410	58	;	;	PUNCT
cana-4932	410	59	thus	thus	ADV
cana-4932	410	60	,	,	PUNCT
cana-4932	410	61	the	the	DET
cana-4932	410	62	presence	presence	NOUN
cana-4932	410	63	of	of	ADP
cana-4932	410	64	noise	noise	NOUN
cana-4932	410	65	and	and	CCONJ
cana-4932	410	66	interference	interference	NOUN
cana-4932	410	67	causes	cause	VERB
cana-4932	410	68	an	an	DET
cana-4932	410	69	undesirable	undesirable	ADJ
cana-4932	410	70	effect	effect	NOUN
cana-4932	410	71	on	on	ADP
cana-4932	410	72	the	the	DET
cana-4932	410	73	initial	initial	ADJ
cana-4932	410	74	user	user	NOUN
cana-4932	410	75	's	's	PART
cana-4932	410	76	channel	channel	NOUN
cana-4932	410	77	.	.	PUNCT
cana-4932	411	1	therefore	therefore	ADV
cana-4932	411	2	,	,	PUNCT
cana-4932	411	3	in	in	ADP
cana-4932	411	4	these	these	DET
cana-4932	411	5	thresholds	threshold	NOUN
cana-4932	411	6	where	where	SCONJ
cana-4932	411	7	the	the	DET
cana-4932	411	8	db	db	PROPN
cana-4932	411	9	is	be	AUX
cana-4932	411	10	less	less	ADJ
cana-4932	411	11	than	than	ADP
cana-4932	411	12	-70	-70	PROPN
cana-4932	411	13	in	in	ADP
cana-4932	411	14	both	both	DET
cana-4932	411	15	diagrams	diagram	NOUN
cana-4932	411	16	,	,	PUNCT
cana-4932	411	17	the	the	DET
cana-4932	411	18	spectral	spectral	ADJ
cana-4932	411	19	efficiency	efficiency	NOUN
cana-4932	411	20	curve	curve	NOUN
cana-4932	411	21	decreases	decrease	VERB
cana-4932	411	22	,	,	PUNCT
cana-4932	411	23	and	and	CCONJ
cana-4932	411	24	with	with	ADP
cana-4932	411	25	an	an	DET
cana-4932	411	26	increase	increase	NOUN
cana-4932	411	27	in	in	ADP
cana-4932	411	28	the	the	DET
cana-4932	411	29	interference	interference	NOUN
cana-4932	411	30	threshold	threshold	NOUN
cana-4932	411	31	(	(	PUNCT
cana-4932	411	32	>	>	X
cana-4932	411	33	-70	-70	PROPN
cana-4932	411	34	db	db	PROPN
cana-4932	411	35	)	)	PUNCT
cana-4932	411	36	,	,	PUNCT
cana-4932	411	37	the	the	DET
cana-4932	411	38	spectral	spectral	ADJ
cana-4932	411	39	efficiency	efficiency	NOUN
cana-4932	411	40	curve	curve	NOUN
cana-4932	411	41	gradually	gradually	ADV
cana-4932	411	42	ascends	ascend	VERB
cana-4932	411	43	,	,	PUNCT
cana-4932	411	44	meaning	mean	VERB
cana-4932	411	45	that	that	SCONJ
cana-4932	411	46	the	the	DET
cana-4932	411	47	interference	interference	NOUN
cana-4932	411	48	constraint	constraint	NOUN
cana-4932	411	49	considered	consider	VERB
cana-4932	411	50	becomes	become	VERB
cana-4932	411	51	less	less	ADV
cana-4932	411	52	effective	effective	ADJ
cana-4932	411	53	.	.	PUNCT
cana-4932	412	1	consequently	consequently	ADV
cana-4932	412	2	,	,	PUNCT
cana-4932	412	3	the	the	DET
cana-4932	412	4	achievable	achievable	ADJ
cana-4932	412	5	information	information	NOUN
cana-4932	412	6	rate	rate	NOUN
cana-4932	412	7	for	for	ADP
cana-4932	412	8	users	user	NOUN
cana-4932	412	9	increases	increase	NOUN
cana-4932	412	10	,	,	PUNCT
cana-4932	412	11	which	which	PRON
cana-4932	412	12	is	be	AUX
cana-4932	412	13	logically	logically	ADV
cana-4932	412	14	justifiable	justifiable	ADJ
cana-4932	412	15	based	base	VERB
cana-4932	412	16	on	on	ADP
cana-4932	412	17	the	the	DET
cana-4932	412	18	explanations	explanation	NOUN
cana-4932	412	19	provided	provide	VERB
cana-4932	412	20	.	.	PUNCT
cana-4932	413	1	step	step	NOUN
cana-4932	413	2	2	2	NUM
cana-4932	413	3	:	:	PUNCT
cana-4932	413	4	in	in	ADP
cana-4932	413	5	this	this	DET
cana-4932	413	6	stage	stage	NOUN
cana-4932	413	7	,	,	PUNCT
cana-4932	413	8	the	the	DET
cana-4932	413	9	problem	problem	NOUN
cana-4932	413	10	of	of	ADP
cana-4932	413	11	assigning	assign	VERB
cana-4932	413	12	users	user	NOUN
cana-4932	413	13	to	to	ADP
cana-4932	413	14	each	each	DET
cana-4932	413	15	cluster	cluster	NOUN
cana-4932	413	16	is	be	AUX
cana-4932	413	17	calculated	calculate	VERB
cana-4932	413	18	considering	consider	VERB
cana-4932	413	19	the	the	DET
cana-4932	413	20	correlation	correlation	NOUN
cana-4932	413	21	coefficient	coefficient	NOUN
cana-4932	413	22	between	between	ADP
cana-4932	413	23	the	the	DET
cana-4932	413	24	eigenvector	eigenvector	NOUN
cana-4932	413	25	corresponding	correspond	VERB
cana-4932	413	26	to	to	ADP
cana-4932	413	27	the	the	DET
cana-4932	413	28	largest	large	ADJ
cana-4932	413	29	eigenvalue	eigenvalue	NOUN
cana-4932	413	30	of	of	ADP
cana-4932	413	31	the	the	DET
cana-4932	413	32	correlation	correlation	NOUN
cana-4932	413	33	matrix	matrix	NOUN
cana-4932	413	34	and	and	CCONJ
cana-4932	413	35	the	the	DET
cana-4932	413	36	channel	channel	NOUN
cana-4932	413	37	correlation	correlation	NOUN
cana-4932	413	38	of	of	ADP
cana-4932	413	39	each	each	DET
cana-4932	413	40	user	user	NOUN
cana-4932	413	41	with	with	ADP
cana-4932	413	42	the	the	DET
cana-4932	413	43	desired	desire	VERB
cana-4932	413	44	cluster	cluster	NOUN
cana-4932	413	45	head	head	NOUN
cana-4932	413	46	.	.	PUNCT
cana-4932	414	1	the	the	DET
cana-4932	414	2	graph	graph	NOUN
cana-4932	414	3	(	(	PUNCT
cana-4932	414	4	pro1+eigvec	pro1+eigvec	NOUN
cana-4932	414	5	)	)	PUNCT
cana-4932	414	6	,	,	PUNCT
cana-4932	414	7	as	as	SCONJ
cana-4932	414	8	shown	show	VERB
cana-4932	414	9	in	in	ADP
cana-4932	414	10	fig	fig	NOUN
cana-4932	414	11	.	.	PUNCT
cana-4932	415	1	4	4	NUM
cana-4932	415	2	-	-	SYM
cana-4932	415	3	2	2	NUM
cana-4932	415	4	,	,	PUNCT
cana-4932	415	5	illustrates	illustrate	VERB
cana-4932	415	6	the	the	DET
cana-4932	415	7	significant	significant	ADJ
cana-4932	415	8	impact	impact	NOUN
cana-4932	415	9	of	of	ADP
cana-4932	415	10	this	this	DET
cana-4932	415	11	step	step	NOUN
cana-4932	415	12	on	on	ADP
cana-4932	415	13	improving	improve	VERB
cana-4932	415	14	the	the	DET
cana-4932	415	15	spectral	spectral	ADJ
cana-4932	415	16	efficiency	efficiency	NOUN
cana-4932	415	17	of	of	ADP
cana-4932	415	18	the	the	DET
cana-4932	415	19	proposed	propose	VERB
cana-4932	415	20	method	method	NOUN
cana-4932	415	21	.	.	PUNCT
cana-4932	416	1	step	step	NOUN
cana-4932	416	2	3	3	NUM
cana-4932	416	3	:	:	PUNCT
cana-4932	416	4	the	the	DET
cana-4932	416	5	second	second	ADJ
cana-4932	416	6	proposed	propose	VERB
cana-4932	416	7	method	method	NOUN
cana-4932	416	8	in	in	ADP
cana-4932	416	9	this	this	DET
cana-4932	416	10	paper	paper	NOUN
cana-4932	416	11	,	,	PUNCT
cana-4932	416	12	presented	present	VERB
cana-4932	416	13	as	as	ADP
cana-4932	416	14	algorithm	algorithm	NOUN
cana-4932	416	15	1	1	NUM
cana-4932	416	16	,	,	PUNCT
cana-4932	416	17	is	be	AUX
cana-4932	416	18	added	add	VERB
cana-4932	416	19	to	to	ADP
cana-4932	416	20	the	the	DET
cana-4932	416	21	first	first	ADJ
cana-4932	416	22	proposed	propose	VERB
cana-4932	416	23	method	method	NOUN
cana-4932	416	24	.	.	PUNCT
cana-4932	417	1	pro2	pro2	PROPN
cana-4932	417	2	also	also	ADV
cana-4932	417	3	represents	represent	VERB
cana-4932	417	4	the	the	DET
cana-4932	417	5	graph	graph	NOUN
cana-4932	417	6	of	of	ADP
cana-4932	417	7	this	this	DET
cana-4932	417	8	proposed	propose	VERB
cana-4932	417	9	method	method	NOUN
cana-4932	417	10	.	.	PUNCT
cana-4932	418	1	by	by	ADP
cana-4932	418	2	comparing	compare	VERB
cana-4932	418	3	the	the	DET
cana-4932	418	4	first	first	ADJ
cana-4932	418	5	and	and	CCONJ
cana-4932	418	6	second	second	ADJ
cana-4932	418	7	proposed	propose	VERB
cana-4932	418	8	methods	method	NOUN
cana-4932	418	9	,	,	PUNCT
cana-4932	418	10	it	it	PRON
cana-4932	418	11	is	be	AUX
cana-4932	418	12	observed	observe	VERB
cana-4932	418	13	that	that	SCONJ
cana-4932	418	14	the	the	DET
cana-4932	418	15	addition	addition	NOUN
cana-4932	418	16	of	of	ADP
cana-4932	418	17	algorithm	algorithm	NOUN
cana-4932	418	18	1	1	NUM
cana-4932	418	19	results	result	NOUN
cana-4932	418	20	in	in	ADP
cana-4932	418	21	a	a	DET
cana-4932	418	22	doubling	doubling	NOUN
cana-4932	418	23	of	of	ADP
cana-4932	418	24	the	the	DET
cana-4932	418	25	spectral	spectral	ADJ
cana-4932	418	26	efficiency	efficiency	NOUN
cana-4932	418	27	of	of	ADP
cana-4932	418	28	the	the	DET
cana-4932	418	29	system	system	NOUN
cana-4932	418	30	at	at	ADP
cana-4932	418	31	low	low	ADJ
cana-4932	418	32	thresholds	threshold	NOUN
cana-4932	418	33	and	and	CCONJ
cana-4932	418	34	an	an	DET
cana-4932	418	35	almost	almost	ADV
cana-4932	418	36	threefold	threefold	ADJ
cana-4932	418	37	growth	growth	NOUN
cana-4932	418	38	at	at	ADP
cana-4932	418	39	high	high	ADJ
cana-4932	418	40	thresholds	threshold	NOUN
cana-4932	418	41	.	.	PUNCT
cana-4932	419	1	therefore	therefore	ADV
cana-4932	419	2	,	,	PUNCT
cana-4932	419	3	the	the	DET
cana-4932	419	4	outcome	outcome	NOUN
cana-4932	419	5	of	of	ADP
cana-4932	419	6	this	this	DET
cana-4932	419	7	method	method	NOUN
cana-4932	419	8	compared	compare	VERB
cana-4932	419	9	to	to	ADP
cana-4932	419	10	the	the	DET
cana-4932	419	11	previous	previous	ADJ
cana-4932	419	12	one	one	NOUN
cana-4932	419	13	is	be	AUX
cana-4932	419	14	very	very	ADV
cana-4932	419	15	promising	promising	ADJ
cana-4932	419	16	.	.	PUNCT
cana-4932	420	1	however	however	ADV
cana-4932	420	2	,	,	PUNCT
cana-4932	420	3	the	the	DET
cana-4932	420	4	issue	issue	NOUN
cana-4932	420	5	of	of	ADP
cana-4932	420	6	low	low	ADJ
cana-4932	420	7	capacity	capacity	NOUN
cana-4932	420	8	has	have	AUX
cana-4932	420	9	not	not	PART
cana-4932	420	10	been	be	AUX
cana-4932	420	11	fully	fully	ADV
cana-4932	420	12	resolved	resolve	VERB
cana-4932	420	13	,	,	PUNCT
cana-4932	420	14	especially	especially	ADV
cana-4932	420	15	at	at	ADP
cana-4932	420	16	low	low	ADJ
cana-4932	420	17	thresholds	threshold	NOUN
cana-4932	420	18	,	,	PUNCT
cana-4932	420	19	as	as	SCONJ
cana-4932	420	20	in	in	ADP
cana-4932	420	21	both	both	CCONJ
cana-4932	420	22	the	the	DET
cana-4932	420	23	first	first	ADJ
cana-4932	420	24	and	and	CCONJ
cana-4932	420	25	second	second	ADJ
cana-4932	420	26	methods	method	NOUN
cana-4932	420	27	,	,	PUNCT
cana-4932	420	28	zero	zero	NUM
cana-4932	420	29	-	-	PUNCT
cana-4932	420	30	forcing	force	VERB
cana-4932	420	31	beam	beam	NOUN
cana-4932	420	32	-	-	PUNCT
cana-4932	420	33	forming	form	VERB
cana-4932	420	34	criterion	criterion	NOUN
cana-4932	420	35	has	have	AUX
cana-4932	420	36	been	be	AUX
cana-4932	420	37	employed	employ	VERB
cana-4932	420	38	.	.	PUNCT
cana-4932	421	1	zf	zf	PROPN
cana-4932	421	2	intensifies	intensifies	PROPN
cana-4932	421	3	noise	noise	NOUN
cana-4932	421	4	at	at	ADP
cana-4932	421	5	low	low	ADJ
cana-4932	421	6	thresholds	threshold	NOUN
cana-4932	421	7	(	(	PUNCT
cana-4932	421	8	weaker	weak	ADJ
cana-4932	421	9	channels	channel	NOUN
cana-4932	421	10	)	)	PUNCT
cana-4932	421	11	,	,	PUNCT
cana-4932	421	12	significantly	significantly	ADV
cana-4932	421	13	reducing	reduce	VERB
cana-4932	421	14	network	network	NOUN
cana-4932	421	15	information	information	NOUN
cana-4932	421	16	rate	rate	NOUN
cana-4932	421	17	and	and	CCONJ
cana-4932	421	18	causing	cause	VERB
cana-4932	421	19	the	the	DET
cana-4932	421	20	system	system	NOUN
cana-4932	421	21	capacity	capacity	NOUN
cana-4932	421	22	to	to	PART
cana-4932	421	23	be	be	AUX
cana-4932	421	24	lost	lose	VERB
cana-4932	421	25	in	in	ADP
cana-4932	421	26	these	these	DET
cana-4932	421	27	thresholds	threshold	NOUN
cana-4932	421	28	.	.	PUNCT
cana-4932	422	1	fig	fig	NOUN
cana-4932	422	2	.	.	PUNCT
cana-4932	423	1	4	4	NUM
cana-4932	423	2	-	-	SYM
cana-4932	423	3	3	3	NUM
cana-4932	423	4	illustrates	illustrate	VERB
cana-4932	423	5	the	the	DET
cana-4932	423	6	spectral	spectral	ADJ
cana-4932	423	7	efficiency	efficiency	NOUN
cana-4932	423	8	curve	curve	NOUN
cana-4932	423	9	of	of	ADP
cana-4932	423	10	the	the	DET
cana-4932	423	11	system	system	NOUN
cana-4932	423	12	in	in	ADP
cana-4932	423	13	the	the	DET
cana-4932	423	14	second	second	ADJ
cana-4932	423	15	proposed	propose	VERB
cana-4932	423	16	method	method	NOUN
cana-4932	423	17	based	base	VERB
cana-4932	423	18	on	on	ADP
cana-4932	423	19	a	a	DET
cana-4932	423	20	fixed	fix	VERB
cana-4932	423	21	number	number	NOUN
cana-4932	423	22	of	of	ADP
cana-4932	423	23	24	24	NUM
cana-4932	423	24	users	user	NOUN
cana-4932	423	25	and	and	CCONJ
cana-4932	423	26	a	a	DET
cana-4932	423	27	variable	variable	ADJ
cana-4932	423	28	number	number	NOUN
cana-4932	423	29	of	of	ADP
cana-4932	423	30	clusters	cluster	NOUN
cana-4932	423	31	from	from	ADP
cana-4932	423	32	4	4	NUM
cana-4932	423	33	clusters	cluster	NOUN
cana-4932	423	34	to	to	ADP
cana-4932	423	35	10	10	NUM
cana-4932	423	36	clusters	cluster	NOUN
cana-4932	423	37	with	with	ADP
cana-4932	423	38	a	a	DET
cana-4932	423	39	step	step	NOUN
cana-4932	423	40	length	length	NOUN
cana-4932	423	41	of	of	ADP
cana-4932	423	42	1	1	NUM
cana-4932	423	43	.	.	PUNCT
cana-4932	424	1	it	it	PRON
cana-4932	424	2	is	be	AUX
cana-4932	424	3	evident	evident	ADJ
cana-4932	424	4	that	that	SCONJ
cana-4932	424	5	as	as	ADP
cana-4932	424	6	the	the	DET
cana-4932	424	7	number	number	NOUN
cana-4932	424	8	of	of	ADP
cana-4932	424	9	clusters	cluster	NOUN
cana-4932	424	10	increases	increase	NOUN
cana-4932	424	11	,	,	PUNCT
cana-4932	424	12	users	user	NOUN
cana-4932	424	13	are	be	AUX
cana-4932	424	14	distributed	distribute	VERB
cana-4932	424	15	among	among	ADP
cana-4932	424	16	all	all	DET
cana-4932	424	17	clusters	cluster	NOUN
cana-4932	424	18	,	,	PUNCT
cana-4932	424	19	making	make	VERB
cana-4932	424	20	the	the	DET
cana-4932	424	21	clusters	cluster	NOUN
cana-4932	424	22	more	more	ADV
cana-4932	424	23	vacant	vacant	ADJ
cana-4932	424	24	.	.	PUNCT
cana-4932	425	1	this	this	DET
cana-4932	425	2	phenomenon	phenomenon	NOUN
cana-4932	425	3	indicates	indicate	VERB
cana-4932	425	4	the	the	DET
cana-4932	425	5	same	same	ADJ
cana-4932	425	6	effect	effect	NOUN
cana-4932	425	7	as	as	ADP
cana-4932	425	8	beamforming	beamforme	VERB
cana-4932	425	9	,	,	PUNCT
cana-4932	425	10	as	as	ADP
cana-4932	425	11	with	with	ADP
cana-4932	425	12	an	an	DET
cana-4932	425	13	increasing	increase	VERB
cana-4932	425	14	number	number	NOUN
cana-4932	425	15	of	of	ADP
cana-4932	425	16	clusters	cluster	NOUN
cana-4932	425	17	,	,	PUNCT
cana-4932	425	18	more	more	ADJ
cana-4932	425	19	beams	beam	NOUN
cana-4932	425	20	are	be	AUX
cana-4932	425	21	formed	form	VERB
cana-4932	425	22	,	,	PUNCT
cana-4932	425	23	and	and	CCONJ
cana-4932	425	24	if	if	SCONJ
cana-4932	425	25	previously	previously	ADV
cana-4932	425	26	only	only	ADV
cana-4932	425	27	one	one	NUM
cana-4932	425	28	of	of	ADP
cana-4932	425	29	the	the	DET
cana-4932	425	30	busy	busy	ADJ
cana-4932	425	31	clusters	cluster	NOUN
cana-4932	425	32	benefited	benefit	VERB
cana-4932	425	33	well	well	ADV
cana-4932	425	34	from	from	ADP
cana-4932	425	35	a	a	DET
cana-4932	425	36	narrow	narrow	ADJ
cana-4932	425	37	beam	beam	NOUN
cana-4932	425	38	,	,	PUNCT
cana-4932	425	39	here	here	ADV
cana-4932	425	40	members	member	NOUN
cana-4932	425	41	of	of	ADP
cana-4932	425	42	other	other	ADJ
cana-4932	425	43	clusters	cluster	NOUN
cana-4932	425	44	will	will	AUX
cana-4932	425	45	also	also	ADV
cana-4932	425	46	benefit	benefit	VERB
cana-4932	425	47	more	more	ADJ
cana-4932	425	48	from	from	ADP
cana-4932	425	49	these	these	DET
cana-4932	425	50	beams	beam	NOUN
cana-4932	425	51	.	.	PUNCT
cana-4932	426	1	fig	fig	NOUN
cana-4932	426	2	.	.	PUNCT
cana-4932	427	1	4	4	NUM
cana-4932	427	2	-	-	SYM
cana-4932	427	3	3	3	NUM
cana-4932	427	4	indicates	indicate	VERB
cana-4932	427	5	that	that	SCONJ
cana-4932	427	6	the	the	DET
cana-4932	427	7	trend	trend	NOUN
cana-4932	427	8	of	of	ADP
cana-4932	427	9	the	the	DET
cana-4932	427	10	system	system	NOUN
cana-4932	427	11	's	's	PART
cana-4932	427	12	spectral	spectral	ADJ
cana-4932	427	13	efficiency	efficiency	NOUN
cana-4932	427	14	curve	curve	NOUN
cana-4932	427	15	is	be	AUX
cana-4932	427	16	almost	almost	ADV
cana-4932	427	17	linearly	linearly	ADV
cana-4932	427	18	increasing	increase	VERB
cana-4932	427	19	;	;	PUNCT
cana-4932	427	20	therefore	therefore	ADV
cana-4932	427	21	,	,	PUNCT
cana-4932	427	22	as	as	SCONJ
cana-4932	427	23	clusters	cluster	NOUN
cana-4932	427	24	become	become	VERB
cana-4932	427	25	more	more	ADV
cana-4932	427	26	vacant	vacant	ADJ
cana-4932	427	27	,	,	PUNCT
cana-4932	427	28	intra	intra	ADJ
cana-4932	427	29	-	-	ADJ
cana-4932	427	30	cluster	cluster	ADJ
cana-4932	427	31	interference	interference	NOUN
cana-4932	427	32	due	due	ADP
cana-4932	427	33	to	to	ADP
cana-4932	427	34	noma	noma	PROPN
cana-4932	427	35	design	design	NOUN
cana-4932	427	36	decreases	decrease	NOUN
cana-4932	427	37	,	,	PUNCT
cana-4932	427	38	leading	lead	VERB
cana-4932	427	39	to	to	ADP
cana-4932	427	40	an	an	DET
cana-4932	427	41	increase	increase	NOUN
cana-4932	427	42	in	in	ADP
cana-4932	427	43	achievable	achievable	ADJ
cana-4932	427	44	information	information	NOUN
cana-4932	427	45	rate	rate	NOUN
cana-4932	427	46	and	and	CCONJ
cana-4932	427	47	the	the	DET
cana-4932	427	48	signal	signal	NOUN
cana-4932	427	49	-	-	PUNCT
cana-4932	427	50	to	to	ADP
cana-4932	427	51	-	-	PUNCT
cana-4932	427	52	noiseplus	noiseplus	NOUN
cana-4932	427	53	-	-	PUNCT
cana-4932	427	54	interference	interference	NOUN
cana-4932	427	55	ratio	ratio	NOUN
cana-4932	427	56	.	.	PUNCT
cana-4932	428	1	communications	communication	NOUN
cana-4932	428	2	on	on	ADP
cana-4932	428	3	applied	apply	VERB
cana-4932	428	4	nonlinear	nonlinear	ADJ
cana-4932	428	5	analysis	analysis	NOUN
cana-4932	428	6	issn	issn	NOUN
cana-4932	428	7	:	:	PUNCT
cana-4932	428	8	1074	1074	NUM
cana-4932	428	9	-	-	PUNCT
cana-4932	428	10	133x	133x	NUM
cana-4932	428	11	vol	vol	VERB
cana-4932	428	12	32	32	NUM
cana-4932	428	13	no	no	NOUN
cana-4932	428	14	.	.	PUNCT
cana-4932	429	1	10s	10	NOUN
cana-4932	429	2	(	(	PUNCT
cana-4932	429	3	2025	2025	NUM
cana-4932	429	4	)	)	PUNCT
cana-4932	429	5	999	999	NUM
cana-4932	429	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	429	7	fig	fig	NOUN
cana-4932	429	8	.	.	PUNCT
cana-4932	430	1	4	4	NUM
cana-4932	430	2	-	-	SYM
cana-4932	430	3	3	3	NUM
cana-4932	430	4	:	:	PUNCT
cana-4932	430	5	the	the	DET
cana-4932	430	6	spectral	spectral	ADJ
cana-4932	430	7	efficiency	efficiency	NOUN
cana-4932	430	8	curve	curve	NOUN
cana-4932	430	9	of	of	ADP
cana-4932	430	10	the	the	DET
cana-4932	430	11	system	system	NOUN
cana-4932	430	12	in	in	ADP
cana-4932	430	13	accordance	accordance	NOUN
cana-4932	430	14	with	with	ADP
cana-4932	430	15	the	the	DET
cana-4932	430	16	second	second	ADJ
cana-4932	430	17	proposed	propose	VERB
cana-4932	430	18	method	method	NOUN
cana-4932	430	19	as	as	ADP
cana-4932	430	20	a	a	DET
cana-4932	430	21	function	function	NOUN
cana-4932	430	22	of	of	ADP
cana-4932	430	23	varying	vary	VERB
cana-4932	430	24	the	the	DET
cana-4932	430	25	number	number	NOUN
cana-4932	430	26	of	of	ADP
cana-4932	430	27	clusters	cluster	NOUN
cana-4932	430	28	with	with	ADP
cana-4932	430	29	a	a	DET
cana-4932	430	30	fixed	fix	VERB
cana-4932	430	31	number	number	NOUN
cana-4932	430	32	of	of	ADP
cana-4932	430	33	users	user	NOUN
cana-4932	430	34	.	.	PUNCT
cana-4932	431	1	fig	fig	NOUN
cana-4932	431	2	.	.	PUNCT
cana-4932	432	1	4	4	NUM
cana-4932	432	2	-	-	SYM
cana-4932	432	3	4	4	NUM
cana-4932	432	4	:	:	PUNCT
cana-4932	432	5	the	the	DET
cana-4932	432	6	elapsed	elapse	VERB
cana-4932	432	7	time	time	NOUN
cana-4932	432	8	graph	graph	NOUN
cana-4932	432	9	of	of	ADP
cana-4932	432	10	the	the	DET
cana-4932	432	11	processor	processor	NOUN
cana-4932	432	12	in	in	ADP
cana-4932	432	13	a	a	DET
cana-4932	432	14	computer	computer	NOUN
cana-4932	432	15	system	system	NOUN
cana-4932	432	16	for	for	ADP
cana-4932	432	17	performing	perform	VERB
cana-4932	432	18	computations	computation	NOUN
cana-4932	432	19	and	and	CCONJ
cana-4932	432	20	solving	solve	VERB
cana-4932	432	21	mathematical	mathematical	ADJ
cana-4932	432	22	problems	problem	NOUN
cana-4932	432	23	in	in	ADP
cana-4932	432	24	the	the	DET
cana-4932	432	25	second	second	ADJ
cana-4932	432	26	proposed	propose	VERB
cana-4932	432	27	method	method	NOUN
cana-4932	432	28	based	base	VERB
cana-4932	432	29	on	on	ADP
cana-4932	432	30	the	the	DET
cana-4932	432	31	increase	increase	NOUN
cana-4932	432	32	in	in	ADP
cana-4932	432	33	complexity	complexity	NOUN
cana-4932	432	34	in	in	ADP
cana-4932	432	35	the	the	DET
cana-4932	432	36	structure	structure	NOUN
cana-4932	432	37	of	of	ADP
cana-4932	432	38	the	the	DET
cana-4932	432	39	telecommunication	telecommunication	NOUN
cana-4932	432	40	system	system	NOUN
cana-4932	432	41	.	.	PUNCT
cana-4932	433	1	in	in	ADP
cana-4932	433	2	fig	fig	NOUN
cana-4932	433	3	.	.	PUNCT
cana-4932	434	1	4	4	NUM
cana-4932	434	2	-	-	SYM
cana-4932	434	3	4	4	NUM
cana-4932	434	4	,	,	PUNCT
cana-4932	434	5	we	we	PRON
cana-4932	434	6	depict	depict	VERB
cana-4932	434	7	the	the	DET
cana-4932	434	8	duration	duration	NOUN
cana-4932	434	9	it	it	PRON
cana-4932	434	10	takes	take	VERB
cana-4932	434	11	for	for	ADP
cana-4932	434	12	a	a	DET
cana-4932	434	13	computer	computer	NOUN
cana-4932	434	14	system	system	NOUN
cana-4932	434	15	processor	processor	NOUN
cana-4932	434	16	to	to	PART
cana-4932	434	17	address	address	VERB
cana-4932	434	18	a	a	DET
cana-4932	434	19	problem	problem	NOUN
cana-4932	434	20	in	in	ADP
cana-4932	434	21	terms	term	NOUN
cana-4932	434	22	of	of	ADP
cana-4932	434	23	the	the	DET
cana-4932	434	24	number	number	NOUN
cana-4932	434	25	of	of	ADP
cana-4932	434	26	variable	variable	ADJ
cana-4932	434	27	clusters	cluster	NOUN
cana-4932	434	28	.	.	PUNCT
cana-4932	435	1	as	as	ADV
cana-4932	435	2	evident	evident	ADJ
cana-4932	435	3	,	,	PUNCT
cana-4932	435	4	with	with	ADP
cana-4932	435	5	an	an	DET
cana-4932	435	6	increase	increase	NOUN
cana-4932	435	7	in	in	ADP
cana-4932	435	8	the	the	DET
cana-4932	435	9	number	number	NOUN
cana-4932	435	10	of	of	ADP
cana-4932	435	11	clusters	cluster	NOUN
cana-4932	435	12	,	,	PUNCT
cana-4932	435	13	the	the	DET
cana-4932	435	14	complexity	complexity	NOUN
cana-4932	435	15	of	of	ADP
cana-4932	435	16	computations	computation	NOUN
cana-4932	435	17	and	and	CCONJ
cana-4932	435	18	mathematical	mathematical	ADJ
cana-4932	435	19	analysis	analysis	NOUN
cana-4932	435	20	at	at	ADP
cana-4932	435	21	the	the	DET
cana-4932	435	22	base	base	NOUN
cana-4932	435	23	station	station	NOUN
cana-4932	435	24	(	(	PUNCT
cana-4932	435	25	bs	bs	NOUN
cana-4932	435	26	)	)	PUNCT
cana-4932	435	27	transmitter	transmitter	NOUN
cana-4932	435	28	increases	increase	NOUN
cana-4932	435	29	.	.	PUNCT
cana-4932	436	1	this	this	DET
cana-4932	436	2	issue	issue	NOUN
cana-4932	436	3	is	be	AUX
cana-4932	436	4	justified	justify	VERB
cana-4932	436	5	in	in	ADP
cana-4932	436	6	a	a	DET
cana-4932	436	7	way	way	NOUN
cana-4932	436	8	that	that	SCONJ
cana-4932	436	9	as	as	ADP
cana-4932	436	10	the	the	DET
cana-4932	436	11	number	number	NOUN
cana-4932	436	12	of	of	ADP
cana-4932	436	13	clusters	cluster	NOUN
cana-4932	436	14	increases	increase	NOUN
cana-4932	436	15	,	,	PUNCT
cana-4932	436	16	during	during	ADP
cana-4932	436	17	beam	beam	NOUN
cana-4932	436	18	-	-	PUNCT
cana-4932	436	19	forming	form	VERB
cana-4932	436	20	,	,	PUNCT
cana-4932	436	21	the	the	DET
cana-4932	436	22	number	number	NOUN
cana-4932	436	23	of	of	ADP
cana-4932	436	24	antenna	antenna	NOUN
cana-4932	436	25	array	array	VERB
cana-4932	436	26	elements	element	NOUN
cana-4932	436	27	at	at	ADP
cana-4932	436	28	the	the	DET
cana-4932	436	29	transmitter	transmitter	NOUN
cana-4932	436	30	also	also	ADV
cana-4932	436	31	increases	increase	VERB
cana-4932	436	32	,	,	PUNCT
cana-4932	436	33	thus	thus	ADV
cana-4932	436	34	making	make	VERB
cana-4932	436	35	the	the	DET
cana-4932	436	36	calculation	calculation	NOUN
cana-4932	436	37	of	of	ADP
cana-4932	436	38	inverse	inverse	ADJ
cana-4932	436	39	matrices	matrix	NOUN
cana-4932	436	40	used	use	VERB
cana-4932	436	41	in	in	ADP
cana-4932	436	42	beam	beam	NOUN
cana-4932	436	43	-	-	PUNCT
cana-4932	436	44	forming	form	VERB
cana-4932	436	45	based	base	VERB
cana-4932	436	46	on	on	ADP
cana-4932	436	47	the	the	DET
cana-4932	436	48	zero	zero	NUM
cana-4932	436	49	-	-	PUNCT
cana-4932	436	50	forcing	force	VERB
cana-4932	436	51	criterion	criterion	NOUN
cana-4932	436	52	more	more	ADV
cana-4932	436	53	complicated	complicated	ADJ
cana-4932	436	54	.	.	PUNCT
cana-4932	437	1	as	as	SCONJ
cana-4932	437	2	shown	show	VERB
cana-4932	437	3	in	in	ADP
cana-4932	437	4	figs	fig	NOUN
cana-4932	437	5	.	.	PUNCT
cana-4932	438	1	4	4	NUM
cana-4932	438	2	-	-	SYM
cana-4932	438	3	3	3	NUM
cana-4932	438	4	and	and	CCONJ
cana-4932	438	5	4	4	NUM
cana-4932	438	6	-	-	SYM
cana-4932	438	7	4	4	NUM
cana-4932	438	8	,	,	PUNCT
cana-4932	438	9	it	it	PRON
cana-4932	438	10	is	be	AUX
cana-4932	438	11	clear	clear	ADJ
cana-4932	438	12	that	that	SCONJ
cana-4932	438	13	we	we	PRON
cana-4932	438	14	have	have	AUX
cana-4932	438	15	considered	consider	VERB
cana-4932	438	16	the	the	DET
cana-4932	438	17	same	same	ADJ
cana-4932	438	18	horizontal	horizontal	ADJ
cana-4932	438	19	axis	axis	NOUN
cana-4932	438	20	range	range	NOUN
cana-4932	438	21	for	for	SCONJ
cana-4932	438	22	both	both	DET
cana-4932	438	23	plots	plot	NOUN
cana-4932	438	24	to	to	PART
cana-4932	438	25	evaluate	evaluate	VERB
cana-4932	438	26	the	the	DET
cana-4932	438	27	time	time	NOUN
cana-4932	438	28	spent	spend	VERB
cana-4932	438	29	on	on	ADP
cana-4932	438	30	necessary	necessary	ADJ
cana-4932	438	31	mathematical	mathematical	ADJ
cana-4932	438	32	analyses	analysis	NOUN
cana-4932	438	33	for	for	ADP
cana-4932	438	34	increasing	increase	VERB
cana-4932	438	35	computational	computational	ADJ
cana-4932	438	36	complexity	complexity	NOUN
cana-4932	438	37	based	base	VERB
cana-4932	438	38	on	on	ADP
cana-4932	438	39	the	the	DET
cana-4932	438	40	change	change	NOUN
cana-4932	438	41	in	in	ADP
cana-4932	438	42	the	the	DET
cana-4932	438	43	number	number	NOUN
cana-4932	438	44	of	of	ADP
cana-4932	438	45	clusters	cluster	NOUN
cana-4932	438	46	.	.	PUNCT
cana-4932	439	1	according	accord	VERB
cana-4932	439	2	to	to	ADP
cana-4932	439	3	fig	fig	NOUN
cana-4932	439	4	.	.	PUNCT
cana-4932	440	1	4	4	NUM
cana-4932	440	2	-	-	SYM
cana-4932	440	3	3	3	NUM
cana-4932	440	4	,	,	PUNCT
cana-4932	440	5	as	as	ADP
cana-4932	440	6	the	the	DET
cana-4932	440	7	computational	computational	ADJ
cana-4932	440	8	complexity	complexity	NOUN
cana-4932	440	9	increases	increase	NOUN
cana-4932	440	10	,	,	PUNCT
cana-4932	440	11	the	the	DET
cana-4932	440	12	spectral	spectral	ADJ
cana-4932	440	13	efficiency	efficiency	NOUN
cana-4932	440	14	curve	curve	NOUN
cana-4932	440	15	is	be	AUX
cana-4932	440	16	almost	almost	ADV
cana-4932	440	17	2.5	2.5	NUM
cana-4932	440	18	times	time	NOUN
cana-4932	440	19	greater	great	ADJ
cana-4932	440	20	,	,	PUNCT
cana-4932	440	21	in	in	ADP
cana-4932	440	22	fig	fig	NOUN
cana-4932	440	23	.	.	PUNCT
cana-4932	441	1	4	4	NUM
cana-4932	441	2	-	-	SYM
cana-4932	441	3	4	4	NUM
cana-4932	441	4	,	,	PUNCT
cana-4932	441	5	as	as	SCONJ
cana-4932	441	6	the	the	DET
cana-4932	441	7	communications	communication	NOUN
cana-4932	441	8	on	on	ADP
cana-4932	441	9	applied	apply	VERB
cana-4932	441	10	nonlinear	nonlinear	ADJ
cana-4932	441	11	analysis	analysis	NOUN
cana-4932	441	12	issn	issn	NOUN
cana-4932	441	13	:	:	PUNCT
cana-4932	441	14	1074	1074	NUM
cana-4932	441	15	-	-	PUNCT
cana-4932	441	16	133x	133x	NUM
cana-4932	441	17	vol	vol	VERB
cana-4932	441	18	32	32	NUM
cana-4932	441	19	no	no	NOUN
cana-4932	441	20	.	.	PUNCT
cana-4932	442	1	10s	10	NOUN
cana-4932	442	2	(	(	PUNCT
cana-4932	442	3	2025	2025	NUM
cana-4932	442	4	)	)	PUNCT
cana-4932	442	5	1000	1000	NUM
cana-4932	442	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	442	7	computational	computational	ADJ
cana-4932	442	8	complexity	complexity	NOUN
cana-4932	442	9	increases	increase	NOUN
cana-4932	442	10	,	,	PUNCT
cana-4932	442	11	the	the	DET
cana-4932	442	12	duration	duration	NOUN
cana-4932	442	13	spent	spend	VERB
cana-4932	442	14	has	have	AUX
cana-4932	442	15	approximately	approximately	ADV
cana-4932	442	16	doubled	double	VERB
cana-4932	442	17	.	.	PUNCT
cana-4932	443	1	beyond	beyond	ADP
cana-4932	443	2	a	a	DET
cana-4932	443	3	certain	certain	ADJ
cana-4932	443	4	point	point	NOUN
cana-4932	443	5	,	,	PUNCT
cana-4932	443	6	the	the	DET
cana-4932	443	7	trend	trend	NOUN
cana-4932	443	8	of	of	ADP
cana-4932	443	9	curve	curve	NOUN
cana-4932	443	10	changes	change	NOUN
cana-4932	443	11	remains	remain	VERB
cana-4932	443	12	relatively	relatively	ADV
cana-4932	443	13	constant	constant	ADJ
cana-4932	443	14	.	.	PUNCT
cana-4932	444	1	through	through	ADP
cana-4932	444	2	this	this	DET
cana-4932	444	3	method	method	NOUN
cana-4932	444	4	,	,	PUNCT
cana-4932	444	5	in	in	ADP
cana-4932	444	6	a	a	DET
cana-4932	444	7	time	time	NOUN
cana-4932	444	8	period	period	NOUN
cana-4932	444	9	that	that	PRON
cana-4932	444	10	is	be	AUX
cana-4932	444	11	almost	almost	ADV
cana-4932	444	12	twice	twice	ADV
cana-4932	444	13	as	as	ADV
cana-4932	444	14	long	long	ADV
cana-4932	444	15	,	,	PUNCT
cana-4932	444	16	we	we	PRON
cana-4932	444	17	achieve	achieve	VERB
cana-4932	444	18	a	a	DET
cana-4932	444	19	spectral	spectral	ADJ
cana-4932	444	20	efficiency	efficiency	NOUN
cana-4932	444	21	nearly	nearly	ADV
cana-4932	444	22	2.5	2.5	NUM
cana-4932	444	23	times	time	NOUN
cana-4932	444	24	greater	great	ADJ
cana-4932	444	25	in	in	ADP
cana-4932	444	26	the	the	DET
cana-4932	444	27	system	system	NOUN
cana-4932	444	28	.	.	PUNCT
cana-4932	445	1	fig	fig	NOUN
cana-4932	445	2	.	.	PUNCT
cana-4932	446	1	4	4	NUM
cana-4932	446	2	-	-	SYM
cana-4932	446	3	5	5	NUM
cana-4932	446	4	:	:	PUNCT
cana-4932	446	5	the	the	DET
cana-4932	446	6	trend	trend	NOUN
cana-4932	446	7	charts	chart	NOUN
cana-4932	446	8	of	of	ADP
cana-4932	446	9	attainable	attainable	ADJ
cana-4932	446	10	information	information	NOUN
cana-4932	446	11	rates	rate	NOUN
cana-4932	446	12	for	for	ADP
cana-4932	446	13	the	the	DET
cana-4932	446	14	weakest	weak	ADJ
cana-4932	446	15	user	user	NOUN
cana-4932	446	16	in	in	ADP
cana-4932	446	17	each	each	DET
cana-4932	446	18	cluster	cluster	NOUN
cana-4932	446	19	in	in	ADP
cana-4932	446	20	the	the	DET
cana-4932	446	21	second	second	ADJ
cana-4932	446	22	proposed	propose	VERB
cana-4932	446	23	method	method	NOUN
cana-4932	446	24	at	at	ADP
cana-4932	446	25	the	the	DET
cana-4932	446	26	interference	interference	NOUN
cana-4932	446	27	threshold	threshold	NOUN
cana-4932	446	28	of	of	ADP
cana-4932	446	29	-60	-60	PART
cana-4932	446	30	db	db	ADP
cana-4932	446	31	the	the	DET
cana-4932	446	32	bar	bar	NOUN
cana-4932	446	33	graph	graph	NOUN
cana-4932	446	34	fig	fig	NOUN
cana-4932	446	35	.	.	PUNCT
cana-4932	447	1	4	4	NUM
cana-4932	447	2	-	-	SYM
cana-4932	447	3	5	5	NUM
cana-4932	447	4	presents	present	VERB
cana-4932	447	5	a	a	DET
cana-4932	447	6	comparative	comparative	ADJ
cana-4932	447	7	analysis	analysis	NOUN
cana-4932	447	8	of	of	ADP
cana-4932	447	9	achievable	achievable	ADJ
cana-4932	447	10	information	information	NOUN
cana-4932	447	11	rates	rate	NOUN
cana-4932	447	12	for	for	ADP
cana-4932	447	13	the	the	DET
cana-4932	447	14	weakest	weak	ADJ
cana-4932	447	15	user	user	NOUN
cana-4932	447	16	in	in	ADP
cana-4932	447	17	each	each	DET
cana-4932	447	18	cluster	cluster	NOUN
cana-4932	447	19	under	under	ADP
cana-4932	447	20	the	the	DET
cana-4932	447	21	second	second	ADJ
cana-4932	447	22	proposed	propose	VERB
cana-4932	447	23	method	method	NOUN
cana-4932	447	24	at	at	ADP
cana-4932	447	25	an	an	DET
cana-4932	447	26	interference	interference	NOUN
cana-4932	447	27	threshold	threshold	NOUN
cana-4932	447	28	of	of	ADP
cana-4932	447	29	-60	-60	INTJ
cana-4932	447	30	db	db	PROPN
cana-4932	447	31	.	.	PUNCT
cana-4932	448	1	the	the	DET
cana-4932	448	2	blue	blue	ADJ
cana-4932	448	3	bar	bar	NOUN
cana-4932	448	4	graph	graph	NOUN
cana-4932	448	5	represents	represent	VERB
cana-4932	448	6	the	the	DET
cana-4932	448	7	second	second	ADJ
cana-4932	448	8	proposed	propose	VERB
cana-4932	448	9	method	method	NOUN
cana-4932	448	10	,	,	PUNCT
cana-4932	448	11	while	while	SCONJ
cana-4932	448	12	the	the	DET
cana-4932	448	13	orange	orange	PROPN
cana-4932	448	14	bar	bar	NOUN
cana-4932	448	15	graph	graph	NOUN
cana-4932	448	16	illustrates	illustrate	VERB
cana-4932	448	17	this	this	DET
cana-4932	448	18	method	method	NOUN
cana-4932	448	19	without	without	ADP
cana-4932	448	20	considering	consider	VERB
cana-4932	448	21	the	the	DET
cana-4932	448	22	effect	effect	NOUN
cana-4932	448	23	of	of	ADP
cana-4932	448	24	the	the	DET
cana-4932	448	25	primary	primary	ADJ
cana-4932	448	26	user	user	NOUN
cana-4932	448	27	in	in	ADP
cana-4932	448	28	cluster	cluster	NOUN
cana-4932	448	29	selection	selection	NOUN
cana-4932	448	30	.	.	PUNCT
cana-4932	449	1	simulation	simulation	NOUN
cana-4932	449	2	of	of	ADP
cana-4932	449	3	this	this	DET
cana-4932	449	4	aspect	aspect	NOUN
cana-4932	449	5	has	have	AUX
cana-4932	449	6	been	be	AUX
cana-4932	449	7	conducted	conduct	VERB
cana-4932	449	8	to	to	PART
cana-4932	449	9	demonstrate	demonstrate	VERB
cana-4932	449	10	the	the	DET
cana-4932	449	11	impact	impact	NOUN
cana-4932	449	12	of	of	ADP
cana-4932	449	13	the	the	DET
cana-4932	449	14	third	third	ADJ
cana-4932	449	15	constraint	constraint	NOUN
cana-4932	449	16	in	in	ADP
cana-4932	449	17	our	our	PRON
cana-4932	449	18	proposed	propose	VERB
cana-4932	449	19	method	method	NOUN
cana-4932	449	20	optimization	optimization	NOUN
cana-4932	449	21	.	.	PUNCT
cana-4932	450	1	this	this	DET
cana-4932	450	2	constraint	constraint	NOUN
cana-4932	450	3	pertains	pertain	VERB
cana-4932	450	4	to	to	ADP
cana-4932	450	5	the	the	DET
cana-4932	450	6	influence	influence	NOUN
cana-4932	450	7	of	of	ADP
cana-4932	450	8	the	the	DET
cana-4932	450	9	power	power	NOUN
cana-4932	450	10	scaling	scale	VERB
cana-4932	450	11	factor	factor	NOUN
cana-4932	450	12	of	of	ADP
cana-4932	450	13	noma	noma	PROPN
cana-4932	450	14	allocation	allocation	NOUN
cana-4932	450	15	on	on	ADP
cana-4932	450	16	cluster	cluster	NOUN
cana-4932	450	17	users	user	NOUN
cana-4932	450	18	for	for	ADP
cana-4932	450	19	fairness	fairness	NOUN
cana-4932	450	20	considerations	consideration	NOUN
cana-4932	450	21	.	.	PUNCT
cana-4932	451	1	the	the	DET
cana-4932	451	2	simulation	simulation	NOUN
cana-4932	451	3	was	be	AUX
cana-4932	451	4	run	run	VERB
cana-4932	451	5	for	for	ADP
cana-4932	451	6	4	4	NUM
cana-4932	451	7	clusters	cluster	NOUN
cana-4932	451	8	and	and	CCONJ
cana-4932	451	9	24	24	NUM
cana-4932	451	10	users	user	NOUN
cana-4932	451	11	.	.	PUNCT
cana-4932	452	1	as	as	ADV
cana-4932	452	2	evident	evident	ADJ
cana-4932	452	3	in	in	ADP
cana-4932	452	4	fig	fig	NOUN
cana-4932	452	5	.	.	PUNCT
cana-4932	453	1	4	4	NUM
cana-4932	453	2	-	-	SYM
cana-4932	453	3	5	5	NUM
cana-4932	453	4	,	,	PUNCT
cana-4932	453	5	in	in	ADP
cana-4932	453	6	both	both	DET
cana-4932	453	7	bar	bar	NOUN
cana-4932	453	8	graphs	graph	NOUN
cana-4932	453	9	,	,	PUNCT
cana-4932	453	10	at	at	ADP
cana-4932	453	11	high	high	ADJ
cana-4932	453	12	interference	interference	NOUN
cana-4932	453	13	thresholds	threshold	NOUN
cana-4932	453	14	,	,	PUNCT
cana-4932	453	15	the	the	DET
cana-4932	453	16	weakest	weak	ADJ
cana-4932	453	17	users	user	NOUN
cana-4932	453	18	in	in	ADP
cana-4932	453	19	each	each	PRON
cana-4932	453	20	of	of	ADP
cana-4932	453	21	the	the	DET
cana-4932	453	22	4	4	NUM
cana-4932	453	23	clusters	cluster	NOUN
cana-4932	453	24	achieve	achieve	VERB
cana-4932	453	25	significantly	significantly	ADV
cana-4932	453	26	noticeable	noticeable	ADJ
cana-4932	453	27	information	information	NOUN
cana-4932	453	28	rates	rate	NOUN
cana-4932	453	29	.	.	PUNCT
cana-4932	454	1	this	this	PRON
cana-4932	454	2	implies	imply	VERB
cana-4932	454	3	that	that	SCONJ
cana-4932	454	4	even	even	ADV
cana-4932	454	5	if	if	SCONJ
cana-4932	454	6	no	no	DET
cana-4932	454	7	attention	attention	NOUN
cana-4932	454	8	is	be	AUX
cana-4932	454	9	given	give	VERB
cana-4932	454	10	to	to	ADP
cana-4932	454	11	the	the	DET
cana-4932	454	12	users	user	NOUN
cana-4932	454	13	surrounding	surround	VERB
cana-4932	454	14	the	the	DET
cana-4932	454	15	primary	primary	ADJ
cana-4932	454	16	user	user	NOUN
cana-4932	454	17	in	in	ADP
cana-4932	454	18	cluster	cluster	NOUN
cana-4932	454	19	head	head	NOUN
cana-4932	454	20	selection	selection	NOUN
cana-4932	454	21	(	(	PUNCT
cana-4932	454	22	orange	orange	ADJ
cana-4932	454	23	bar	bar	NOUN
cana-4932	454	24	graph	graph	NOUN
cana-4932	454	25	)	)	PUNCT
cana-4932	454	26	,	,	PUNCT
cana-4932	454	27	and	and	CCONJ
cana-4932	454	28	a	a	DET
cana-4932	454	29	cluster	cluster	NOUN
cana-4932	454	30	head	head	NOUN
cana-4932	454	31	is	be	AUX
cana-4932	454	32	chosen	choose	VERB
cana-4932	454	33	from	from	ADP
cana-4932	454	34	among	among	ADP
cana-4932	454	35	them	they	PRON
cana-4932	454	36	,	,	PUNCT
cana-4932	454	37	it	it	PRON
cana-4932	454	38	does	do	AUX
cana-4932	454	39	not	not	PART
cana-4932	454	40	affect	affect	VERB
cana-4932	454	41	power	power	NOUN
cana-4932	454	42	allocation	allocation	NOUN
cana-4932	454	43	to	to	ADP
cana-4932	454	44	weaker	weak	ADJ
cana-4932	454	45	users	user	NOUN
cana-4932	454	46	,	,	PUNCT
cana-4932	454	47	ensuring	ensure	VERB
cana-4932	454	48	fairness	fairness	NOUN
cana-4932	454	49	.	.	PUNCT
cana-4932	455	1	this	this	PRON
cana-4932	455	2	means	mean	VERB
cana-4932	455	3	that	that	SCONJ
cana-4932	455	4	not	not	PART
cana-4932	455	5	only	only	ADV
cana-4932	455	6	is	be	AUX
cana-4932	455	7	fairness	fairness	NOUN
cana-4932	455	8	not	not	PART
cana-4932	455	9	violated	violate	VERB
cana-4932	455	10	by	by	ADP
cana-4932	455	11	this	this	DET
cana-4932	455	12	approach	approach	NOUN
cana-4932	455	13	,	,	PUNCT
cana-4932	455	14	but	but	CCONJ
cana-4932	455	15	more	more	ADJ
cana-4932	455	16	power	power	NOUN
cana-4932	455	17	is	be	AUX
cana-4932	455	18	allocated	allocate	VERB
cana-4932	455	19	to	to	ADP
cana-4932	455	20	the	the	DET
cana-4932	455	21	weaker	weak	ADJ
cana-4932	455	22	users	user	NOUN
cana-4932	455	23	in	in	ADP
cana-4932	455	24	each	each	DET
cana-4932	455	25	cluster	cluster	NOUN
cana-4932	455	26	,	,	PUNCT
cana-4932	455	27	resulting	result	VERB
cana-4932	455	28	in	in	ADP
cana-4932	455	29	improved	improve	VERB
cana-4932	455	30	achievable	achievable	ADJ
cana-4932	455	31	information	information	NOUN
cana-4932	455	32	rates	rate	NOUN
cana-4932	455	33	for	for	ADP
cana-4932	455	34	these	these	DET
cana-4932	455	35	users	user	NOUN
cana-4932	455	36	.	.	PUNCT
cana-4932	456	1	4	4	NUM
cana-4932	456	2	-	-	SYM
cana-4932	456	3	3	3	NUM
cana-4932	456	4	-	-	SYM
cana-4932	456	5	3	3	NUM
cana-4932	456	6	modified	modify	VERB
cana-4932	456	7	zf	zf	PROPN
cana-4932	456	8	-	-	PUNCT
cana-4932	456	9	based	base	VERB
cana-4932	456	10	beamforming	beamforming	NOUN
cana-4932	456	11	results	result	NOUN
cana-4932	456	12	by	by	ADP
cana-4932	456	13	introducing	introduce	VERB
cana-4932	456	14	zero	zero	NUM
cana-4932	456	15	in	in	ADP
cana-4932	456	16	beamforming	beamforme	VERB
cana-4932	456	17	towards	towards	ADP
cana-4932	456	18	the	the	DET
cana-4932	456	19	primary	primary	ADJ
cana-4932	456	20	user	user	NOUN
cana-4932	456	21	in	in	ADP
cana-4932	456	22	the	the	DET
cana-4932	456	23	previous	previous	ADJ
cana-4932	456	24	section	section	NOUN
cana-4932	456	25	,	,	PUNCT
cana-4932	456	26	we	we	PRON
cana-4932	456	27	have	have	AUX
cana-4932	456	28	extensively	extensively	ADV
cana-4932	456	29	explained	explain	VERB
cana-4932	456	30	this	this	DET
cana-4932	456	31	method	method	NOUN
cana-4932	456	32	;	;	PUNCT
cana-4932	456	33	therefore	therefore	ADV
cana-4932	456	34	,	,	PUNCT
cana-4932	456	35	here	here	ADV
cana-4932	456	36	we	we	PRON
cana-4932	456	37	refrain	refrain	VERB
cana-4932	456	38	from	from	ADP
cana-4932	456	39	repeating	repeat	VERB
cana-4932	456	40	it	it	PRON
cana-4932	456	41	and	and	CCONJ
cana-4932	456	42	directly	directly	ADV
cana-4932	456	43	delve	delve	VERB
cana-4932	456	44	into	into	ADP
cana-4932	456	45	analyzing	analyze	VERB
cana-4932	456	46	the	the	DET
cana-4932	456	47	results	result	NOUN
cana-4932	456	48	obtained	obtain	VERB
cana-4932	456	49	from	from	ADP
cana-4932	456	50	the	the	DET
cana-4932	456	51	diagrams	diagram	NOUN
cana-4932	456	52	using	use	VERB
cana-4932	456	53	this	this	DET
cana-4932	456	54	approach	approach	NOUN
cana-4932	456	55	.	.	PUNCT
cana-4932	457	1	communications	communication	NOUN
cana-4932	457	2	on	on	ADP
cana-4932	457	3	applied	apply	VERB
cana-4932	457	4	nonlinear	nonlinear	ADJ
cana-4932	457	5	analysis	analysis	NOUN
cana-4932	457	6	issn	issn	NOUN
cana-4932	457	7	:	:	PUNCT
cana-4932	457	8	1074	1074	NUM
cana-4932	457	9	-	-	PUNCT
cana-4932	457	10	133x	133x	NUM
cana-4932	457	11	vol	vol	VERB
cana-4932	457	12	32	32	NUM
cana-4932	457	13	no	no	NOUN
cana-4932	457	14	.	.	PUNCT
cana-4932	458	1	10s	10	NOUN
cana-4932	458	2	(	(	PUNCT
cana-4932	458	3	2025	2025	NUM
cana-4932	458	4	)	)	PUNCT
cana-4932	458	5	1001	1001	NUM
cana-4932	458	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	458	7	fig	fig	NOUN
cana-4932	458	8	.	.	PUNCT
cana-4932	459	1	4	4	NUM
cana-4932	459	2	-	-	SYM
cana-4932	459	3	6	6	NUM
cana-4932	459	4	:	:	PUNCT
cana-4932	459	5	the	the	DET
cana-4932	459	6	spectral	spectral	ADJ
cana-4932	459	7	efficiency	efficiency	NOUN
cana-4932	459	8	curves	curve	NOUN
cana-4932	459	9	of	of	ADP
cana-4932	459	10	all	all	DET
cana-4932	459	11	three	three	NUM
cana-4932	459	12	proposed	propose	VERB
cana-4932	459	13	methods	method	NOUN
cana-4932	459	14	as	as	ADP
cana-4932	459	15	a	a	DET
cana-4932	459	16	function	function	NOUN
cana-4932	459	17	of	of	ADP
cana-4932	459	18	the	the	DET
cana-4932	459	19	interference	interference	NOUN
cana-4932	459	20	threshold	threshold	NOUN
cana-4932	459	21	.	.	PUNCT
cana-4932	460	1	fig	fig	NOUN
cana-4932	460	2	.	.	PUNCT
cana-4932	461	1	4	4	NUM
cana-4932	461	2	-	-	SYM
cana-4932	461	3	6	6	NUM
cana-4932	461	4	illustrates	illustrate	VERB
cana-4932	461	5	the	the	DET
cana-4932	461	6	simulations	simulation	NOUN
cana-4932	461	7	conducted	conduct	VERB
cana-4932	461	8	in	in	ADP
cana-4932	461	9	all	all	DET
cana-4932	461	10	three	three	NUM
cana-4932	461	11	proposed	propose	VERB
cana-4932	461	12	methods	method	NOUN
cana-4932	461	13	of	of	ADP
cana-4932	461	14	this	this	DET
cana-4932	461	15	paper	paper	NOUN
cana-4932	461	16	.	.	PUNCT
cana-4932	462	1	the	the	DET
cana-4932	462	2	diagram	diagram	NOUN
cana-4932	462	3	(	(	PUNCT
cana-4932	462	4	pro3(null	pro3(null	NOUN
cana-4932	462	5	)	)	PUNCT
cana-4932	462	6	)	)	PUNCT
cana-4932	462	7	represents	represent	VERB
cana-4932	462	8	the	the	DET
cana-4932	462	9	chart	chart	NOUN
cana-4932	462	10	resulting	result	VERB
cana-4932	462	11	from	from	ADP
cana-4932	462	12	the	the	DET
cana-4932	462	13	simulation	simulation	NOUN
cana-4932	462	14	of	of	ADP
cana-4932	462	15	the	the	DET
cana-4932	462	16	proposed	propose	VERB
cana-4932	462	17	third	third	ADJ
cana-4932	462	18	method	method	NOUN
cana-4932	462	19	.	.	PUNCT
cana-4932	463	1	as	as	SCONJ
cana-4932	463	2	mentioned	mention	VERB
cana-4932	463	3	earlier	early	ADV
cana-4932	463	4	,	,	PUNCT
cana-4932	463	5	as	as	SCONJ
cana-4932	463	6	it	it	PRON
cana-4932	463	7	is	be	AUX
cana-4932	463	8	obvious	obvious	ADJ
cana-4932	463	9	from	from	ADP
cana-4932	463	10	the	the	DET
cana-4932	463	11	diagrams	diagram	NOUN
cana-4932	463	12	,	,	PUNCT
cana-4932	463	13	the	the	DET
cana-4932	463	14	weaknesses	weakness	NOUN
cana-4932	463	15	of	of	ADP
cana-4932	463	16	the	the	DET
cana-4932	463	17	first	first	ADJ
cana-4932	463	18	and	and	CCONJ
cana-4932	463	19	second	second	ADJ
cana-4932	463	20	proposed	propose	VERB
cana-4932	463	21	methods	method	NOUN
cana-4932	463	22	are	be	AUX
cana-4932	463	23	significantly	significantly	ADV
cana-4932	463	24	reduced	reduce	VERB
cana-4932	463	25	in	in	ADP
cana-4932	463	26	the	the	DET
cana-4932	463	27	efficiency	efficiency	NOUN
cana-4932	463	28	spectrum	spectrum	NOUN
cana-4932	463	29	chart	chart	NOUN
cana-4932	463	30	.	.	PUNCT
cana-4932	464	1	consequently	consequently	ADV
cana-4932	464	2	,	,	PUNCT
cana-4932	464	3	there	there	PRON
cana-4932	464	4	is	be	VERB
cana-4932	464	5	a	a	DET
cana-4932	464	6	decrease	decrease	NOUN
cana-4932	464	7	in	in	ADP
cana-4932	464	8	the	the	DET
cana-4932	464	9	capacity	capacity	NOUN
cana-4932	464	10	at	at	ADP
cana-4932	464	11	low	low	ADJ
cana-4932	464	12	interference	interference	NOUN
cana-4932	464	13	thresholds	threshold	NOUN
cana-4932	464	14	.	.	PUNCT
cana-4932	465	1	as	as	SCONJ
cana-4932	465	2	illustrated	illustrate	VERB
cana-4932	465	3	in	in	ADP
cana-4932	465	4	fig	fig	NOUN
cana-4932	465	5	.	.	PUNCT
cana-4932	466	1	4	4	NUM
cana-4932	466	2	-	-	SYM
cana-4932	466	3	6	6	NUM
cana-4932	466	4	,	,	PUNCT
cana-4932	466	5	in	in	ADP
cana-4932	466	6	the	the	DET
cana-4932	466	7	second	second	ADJ
cana-4932	466	8	proposed	propose	VERB
cana-4932	466	9	method	method	NOUN
cana-4932	466	10	,	,	PUNCT
cana-4932	466	11	the	the	DET
cana-4932	466	12	weaknesses	weakness	NOUN
cana-4932	466	13	of	of	ADP
cana-4932	466	14	the	the	DET
cana-4932	466	15	first	first	ADJ
cana-4932	466	16	method	method	NOUN
cana-4932	466	17	were	be	AUX
cana-4932	466	18	somewhat	somewhat	ADV
cana-4932	466	19	improved	improve	VERB
cana-4932	466	20	,	,	PUNCT
cana-4932	466	21	but	but	CCONJ
cana-4932	466	22	these	these	DET
cana-4932	466	23	weaknesses	weakness	NOUN
cana-4932	466	24	were	be	AUX
cana-4932	466	25	not	not	PART
cana-4932	466	26	completely	completely	ADV
cana-4932	466	27	rectified	rectify	VERB
cana-4932	466	28	at	at	ADP
cana-4932	466	29	low	low	ADJ
cana-4932	466	30	thresholds	threshold	NOUN
cana-4932	466	31	.	.	PUNCT
cana-4932	467	1	with	with	ADP
cana-4932	467	2	the	the	DET
cana-4932	467	3	proposal	proposal	NOUN
cana-4932	467	4	of	of	ADP
cana-4932	467	5	the	the	DET
cana-4932	467	6	third	third	ADJ
cana-4932	467	7	method	method	NOUN
cana-4932	467	8	,	,	PUNCT
cana-4932	467	9	the	the	DET
cana-4932	467	10	spectral	spectral	ADJ
cana-4932	467	11	efficiency	efficiency	NOUN
cana-4932	467	12	graph	graph	NOUN
cana-4932	467	13	of	of	ADP
cana-4932	467	14	the	the	DET
cana-4932	467	15	system	system	NOUN
cana-4932	467	16	at	at	ADP
cana-4932	467	17	thresholds	threshold	NOUN
cana-4932	467	18	below	below	ADP
cana-4932	467	19	-70	-70	PROPN
cana-4932	467	20	db	db	PROPN
cana-4932	467	21	will	will	AUX
cana-4932	467	22	significantly	significantly	ADV
cana-4932	467	23	improve	improve	VERB
cana-4932	467	24	compared	compare	VERB
cana-4932	467	25	to	to	ADP
cana-4932	467	26	higher	high	ADJ
cana-4932	467	27	thresholds	threshold	NOUN
cana-4932	467	28	.	.	PUNCT
cana-4932	468	1	therefore	therefore	ADV
cana-4932	468	2	,	,	PUNCT
cana-4932	468	3	in	in	ADP
cana-4932	468	4	this	this	DET
cana-4932	468	5	method	method	NOUN
cana-4932	468	6	,	,	PUNCT
cana-4932	468	7	we	we	PRON
cana-4932	468	8	attempted	attempt	VERB
cana-4932	468	9	to	to	PART
cana-4932	468	10	prevent	prevent	VERB
cana-4932	468	11	capacity	capacity	NOUN
cana-4932	468	12	reduction	reduction	NOUN
cana-4932	468	13	at	at	ADP
cana-4932	468	14	lower	low	ADJ
cana-4932	468	15	interference	interference	NOUN
cana-4932	468	16	thresholds	threshold	NOUN
cana-4932	468	17	and	and	CCONJ
cana-4932	468	18	enhance	enhance	VERB
cana-4932	468	19	our	our	PRON
cana-4932	468	20	simulation	simulation	NOUN
cana-4932	468	21	results	result	VERB
cana-4932	468	22	noticeably	noticeably	ADV
cana-4932	468	23	.	.	PUNCT
cana-4932	469	1	utilizing	utilize	VERB
cana-4932	469	2	this	this	DET
cana-4932	469	3	method	method	NOUN
cana-4932	469	4	involves	involve	VERB
cana-4932	469	5	adding	add	VERB
cana-4932	469	6	the	the	DET
cana-4932	469	7	primary	primary	ADJ
cana-4932	469	8	user	user	NOUN
cana-4932	469	9	channel	channel	NOUN
cana-4932	469	10	in	in	ADP
cana-4932	469	11	the	the	DET
cana-4932	469	12	last	last	ADJ
cana-4932	469	13	column	column	NOUN
cana-4932	469	14	of	of	ADP
cana-4932	469	15	the	the	DET
cana-4932	469	16	channel	channel	NOUN
cana-4932	469	17	matrix	matrix	NOUN
cana-4932	469	18	.	.	PUNCT
cana-4932	470	1	this	this	DET
cana-4932	470	2	action	action	NOUN
cana-4932	470	3	leads	lead	VERB
cana-4932	470	4	to	to	ADP
cana-4932	470	5	narrowing	narrow	VERB
cana-4932	470	6	the	the	DET
cana-4932	470	7	beam	beam	NOUN
cana-4932	470	8	and	and	CCONJ
cana-4932	470	9	orienting	orient	VERB
cana-4932	470	10	the	the	DET
cana-4932	470	11	antenna	antenna	NOUN
cana-4932	470	12	array	array	NOUN
cana-4932	470	13	towards	towards	ADP
cana-4932	470	14	the	the	DET
cana-4932	470	15	primary	primary	ADJ
cana-4932	470	16	user	user	NOUN
cana-4932	470	17	,	,	PUNCT
cana-4932	470	18	assuming	assume	VERB
cana-4932	470	19	that	that	SCONJ
cana-4932	470	20	the	the	DET
cana-4932	470	21	base	base	NOUN
cana-4932	470	22	station	station	NOUN
cana-4932	470	23	knows	know	VERB
cana-4932	470	24	the	the	DET
cana-4932	470	25	status	status	NOUN
cana-4932	470	26	information	information	NOUN
cana-4932	470	27	of	of	ADP
cana-4932	470	28	the	the	DET
cana-4932	470	29	primary	primary	ADJ
cana-4932	470	30	user	user	NOUN
cana-4932	470	31	channel	channel	PROPN
cana-4932	470	32	.	.	PUNCT
cana-4932	471	1	as	as	ADP
cana-4932	471	2	a	a	DET
cana-4932	471	3	result	result	NOUN
cana-4932	471	4	,	,	PUNCT
cana-4932	471	5	the	the	DET
cana-4932	471	6	base	base	NOUN
cana-4932	471	7	station	station	NOUN
cana-4932	471	8	behaves	behave	VERB
cana-4932	471	9	like	like	ADP
cana-4932	471	10	the	the	DET
cana-4932	471	11	cluster	cluster	NOUN
cana-4932	471	12	head	head	NOUN
cana-4932	471	13	towards	towards	ADP
cana-4932	471	14	the	the	DET
cana-4932	471	15	primary	primary	ADJ
cana-4932	471	16	user	user	NOUN
cana-4932	471	17	,	,	PUNCT
cana-4932	471	18	enabling	enable	VERB
cana-4932	471	19	the	the	DET
cana-4932	471	20	user	user	NOUN
cana-4932	471	21	to	to	PART
cana-4932	471	22	receive	receive	VERB
cana-4932	471	23	a	a	DET
cana-4932	471	24	good	good	ADJ
cana-4932	471	25	beam	beam	NOUN
cana-4932	471	26	and	and	CCONJ
cana-4932	471	27	recognize	recognize	VERB
cana-4932	471	28	a	a	DET
cana-4932	471	29	better	well	ADJ
cana-4932	471	30	channel	channel	NOUN
cana-4932	471	31	status	status	NOUN
cana-4932	471	32	compared	compare	VERB
cana-4932	471	33	to	to	ADP
cana-4932	471	34	other	other	ADJ
cana-4932	471	35	users	user	NOUN
cana-4932	471	36	.	.	PUNCT
cana-4932	472	1	by	by	ADP
cana-4932	472	2	implementing	implement	VERB
cana-4932	472	3	this	this	DET
cana-4932	472	4	method	method	NOUN
cana-4932	472	5	,	,	PUNCT
cana-4932	472	6	the	the	DET
cana-4932	472	7	interference	interference	NOUN
cana-4932	472	8	constraint	constraint	NOUN
cana-4932	472	9	added	add	VERB
cana-4932	472	10	to	to	ADP
cana-4932	472	11	the	the	DET
cana-4932	472	12	primary	primary	ADJ
cana-4932	472	13	user	user	NOUN
cana-4932	472	14	to	to	PART
cana-4932	472	15	prevent	prevent	VERB
cana-4932	472	16	interference	interference	NOUN
cana-4932	472	17	from	from	ADP
cana-4932	472	18	cognitive	cognitive	ADJ
cana-4932	472	19	users	user	NOUN
cana-4932	472	20	becomes	become	VERB
cana-4932	472	21	significantly	significantly	ADV
cana-4932	472	22	less	less	ADV
cana-4932	472	23	effective	effective	ADJ
cana-4932	472	24	.	.	PUNCT
cana-4932	473	1	this	this	PRON
cana-4932	473	2	is	be	AUX
cana-4932	473	3	why	why	SCONJ
cana-4932	473	4	the	the	DET
cana-4932	473	5	graph	graph	NOUN
cana-4932	473	6	of	of	ADP
cana-4932	473	7	this	this	DET
cana-4932	473	8	method	method	NOUN
cana-4932	473	9	remains	remain	VERB
cana-4932	473	10	almost	almost	ADV
cana-4932	473	11	constant	constant	ADJ
cana-4932	473	12	.	.	PUNCT
cana-4932	474	1	this	this	DET
cana-4932	474	2	method	method	NOUN
cana-4932	474	3	prevents	prevent	VERB
cana-4932	474	4	interference	interference	NOUN
cana-4932	474	5	on	on	ADP
cana-4932	474	6	the	the	DET
cana-4932	474	7	primary	primary	ADJ
cana-4932	474	8	user	user	NOUN
cana-4932	474	9	side	side	NOUN
cana-4932	474	10	,	,	PUNCT
cana-4932	474	11	compensates	compensate	VERB
cana-4932	474	12	for	for	ADP
cana-4932	474	13	the	the	DET
cana-4932	474	14	decrease	decrease	NOUN
cana-4932	474	15	in	in	ADP
cana-4932	474	16	achievable	achievable	ADJ
cana-4932	474	17	information	information	NOUN
cana-4932	474	18	rate	rate	NOUN
cana-4932	474	19	and	and	CCONJ
cana-4932	474	20	capacity	capacity	NOUN
cana-4932	474	21	at	at	ADP
cana-4932	474	22	lower	low	ADJ
cana-4932	474	23	thresholds	threshold	NOUN
cana-4932	474	24	,	,	PUNCT
cana-4932	474	25	and	and	CCONJ
cana-4932	474	26	weakens	weaken	VERB
cana-4932	474	27	the	the	DET
cana-4932	474	28	influence	influence	NOUN
cana-4932	474	29	of	of	ADP
cana-4932	474	30	secondary	secondary	ADJ
cana-4932	474	31	users	user	NOUN
cana-4932	474	32	to	to	ADP
cana-4932	474	33	the	the	DET
cana-4932	474	34	extent	extent	NOUN
cana-4932	474	35	that	that	SCONJ
cana-4932	474	36	there	there	PRON
cana-4932	474	37	is	be	VERB
cana-4932	474	38	no	no	PRON
cana-4932	474	39	longer	long	ADV
cana-4932	474	40	a	a	DET
cana-4932	474	41	need	need	NOUN
cana-4932	474	42	to	to	PART
cana-4932	474	43	impose	impose	VERB
cana-4932	474	44	restrictions	restriction	NOUN
cana-4932	474	45	on	on	ADP
cana-4932	474	46	the	the	DET
cana-4932	474	47	transmit	transmit	NOUN
cana-4932	474	48	power	power	NOUN
cana-4932	474	49	.	.	PUNCT
cana-4932	475	1	therefore	therefore	ADV
cana-4932	475	2	,	,	PUNCT
cana-4932	475	3	with	with	ADP
cana-4932	475	4	this	this	DET
cana-4932	475	5	method	method	NOUN
cana-4932	475	6	,	,	PUNCT
cana-4932	475	7	we	we	PRON
cana-4932	475	8	will	will	AUX
cana-4932	475	9	conclude	conclude	VERB
cana-4932	475	10	that	that	SCONJ
cana-4932	475	11	not	not	PART
cana-4932	475	12	considering	consider	VERB
cana-4932	475	13	the	the	DET
cana-4932	475	14	neighboring	neighboring	NOUN
cana-4932	475	15	users	user	NOUN
cana-4932	475	16	of	of	ADP
cana-4932	475	17	the	the	DET
cana-4932	475	18	primary	primary	ADJ
cana-4932	475	19	user	user	NOUN
cana-4932	475	20	as	as	SCONJ
cana-4932	475	21	cluster	cluster	NOUN
cana-4932	475	22	heads	head	NOUN
cana-4932	475	23	using	use	VERB
cana-4932	475	24	the	the	DET
cana-4932	475	25	zf	zf	PROPN
cana-4932	475	26	criterion	criterion	NOUN
cana-4932	475	27	does	do	AUX
cana-4932	475	28	not	not	PART
cana-4932	475	29	lead	lead	VERB
cana-4932	475	30	us	we	PRON
cana-4932	475	31	to	to	ADP
cana-4932	475	32	the	the	DET
cana-4932	475	33	desired	desire	VERB
cana-4932	475	34	outcome	outcome	NOUN
cana-4932	475	35	of	of	ADP
cana-4932	475	36	zero	zero	NUM
cana-4932	475	37	beam	beam	NOUN
cana-4932	475	38	-	-	PUNCT
cana-4932	475	39	forming	form	VERB
cana-4932	475	40	alignment	alignment	NOUN
cana-4932	475	41	towards	towards	ADP
cana-4932	475	42	the	the	DET
cana-4932	475	43	primary	primary	ADJ
cana-4932	475	44	user	user	NOUN
cana-4932	475	45	.	.	PUNCT
cana-4932	476	1	hence	hence	ADV
cana-4932	476	2	,	,	PUNCT
cana-4932	476	3	the	the	DET
cana-4932	476	4	use	use	NOUN
cana-4932	476	5	of	of	ADP
cana-4932	476	6	the	the	DET
cana-4932	476	7	third	third	ADJ
cana-4932	476	8	proposed	propose	VERB
cana-4932	476	9	method	method	NOUN
cana-4932	476	10	for	for	ADP
cana-4932	476	11	enhancing	enhance	VERB
cana-4932	476	12	spectral	spectral	ADJ
cana-4932	476	13	efficiency	efficiency	NOUN
cana-4932	476	14	,	,	PUNCT
cana-4932	476	15	total	total	ADJ
cana-4932	476	16	rate	rate	NOUN
cana-4932	476	17	,	,	PUNCT
cana-4932	476	18	and	and	CCONJ
cana-4932	476	19	system	system	NOUN
cana-4932	476	20	capacity	capacity	NOUN
cana-4932	476	21	,	,	PUNCT
cana-4932	476	22	especially	especially	ADV
cana-4932	476	23	for	for	ADP
cana-4932	476	24	the	the	DET
cana-4932	476	25	primary	primary	ADJ
cana-4932	476	26	user	user	NOUN
cana-4932	476	27	,	,	PUNCT
cana-4932	476	28	is	be	AUX
cana-4932	476	29	highly	highly	ADV
cana-4932	476	30	recommended	recommend	VERB
cana-4932	476	31	.	.	PUNCT
cana-4932	477	1	communications	communication	NOUN
cana-4932	477	2	on	on	ADP
cana-4932	477	3	applied	apply	VERB
cana-4932	477	4	nonlinear	nonlinear	ADJ
cana-4932	477	5	analysis	analysis	NOUN
cana-4932	477	6	issn	issn	NOUN
cana-4932	477	7	:	:	PUNCT
cana-4932	477	8	1074	1074	NUM
cana-4932	477	9	-	-	PUNCT
cana-4932	477	10	133x	133x	NUM
cana-4932	477	11	vol	vol	VERB
cana-4932	477	12	32	32	NUM
cana-4932	477	13	no	no	NOUN
cana-4932	477	14	.	.	PUNCT
cana-4932	478	1	10s	10	NOUN
cana-4932	478	2	(	(	PUNCT
cana-4932	478	3	2025	2025	NUM
cana-4932	478	4	)	)	PUNCT
cana-4932	478	5	1002	1002	NUM
cana-4932	478	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	478	7	the	the	DET
cana-4932	478	8	conditions	condition	NOUN
cana-4932	478	9	for	for	ADP
cana-4932	478	10	implementing	implement	VERB
cana-4932	478	11	simulations	simulation	NOUN
cana-4932	478	12	and	and	CCONJ
cana-4932	478	13	all	all	DET
cana-4932	478	14	parameters	parameter	NOUN
cana-4932	478	15	of	of	ADP
cana-4932	478	16	this	this	DET
cana-4932	478	17	method	method	NOUN
cana-4932	478	18	are	be	AUX
cana-4932	478	19	similar	similar	ADJ
cana-4932	478	20	to	to	ADP
cana-4932	478	21	the	the	DET
cana-4932	478	22	second	second	ADJ
cana-4932	478	23	proposed	propose	VERB
cana-4932	478	24	method	method	NOUN
cana-4932	478	25	.	.	PUNCT
cana-4932	479	1	with	with	ADP
cana-4932	479	2	this	this	DET
cana-4932	479	3	approach	approach	NOUN
cana-4932	479	4	,	,	PUNCT
cana-4932	479	5	the	the	DET
cana-4932	479	6	trend	trend	NOUN
cana-4932	479	7	of	of	ADP
cana-4932	479	8	changes	change	NOUN
cana-4932	479	9	in	in	ADP
cana-4932	479	10	the	the	DET
cana-4932	479	11	efficiency	efficiency	NOUN
cana-4932	479	12	curve	curve	NOUN
cana-4932	479	13	spectrum	spectrum	NOUN
cana-4932	479	14	increases	increase	VERB
cana-4932	479	15	linearly	linearly	ADV
cana-4932	479	16	with	with	ADP
cana-4932	479	17	an	an	DET
cana-4932	479	18	increase	increase	NOUN
cana-4932	479	19	in	in	ADP
cana-4932	479	20	the	the	DET
cana-4932	479	21	number	number	NOUN
cana-4932	479	22	of	of	ADP
cana-4932	479	23	clusters	cluster	NOUN
cana-4932	479	24	.	.	PUNCT
cana-4932	480	1	by	by	ADP
cana-4932	480	2	comparing	compare	VERB
cana-4932	480	3	figs	fig	NOUN
cana-4932	480	4	.	.	PUNCT
cana-4932	481	1	4	4	NUM
cana-4932	481	2	-	-	SYM
cana-4932	481	3	3	3	NUM
cana-4932	481	4	and	and	CCONJ
cana-4932	481	5	4	4	NUM
cana-4932	481	6	-	-	SYM
cana-4932	481	7	7	7	NUM
cana-4932	481	8	,	,	PUNCT
cana-4932	481	9	the	the	DET
cana-4932	481	10	trend	trend	NOUN
cana-4932	481	11	of	of	ADP
cana-4932	481	12	changes	change	NOUN
cana-4932	481	13	in	in	ADP
cana-4932	481	14	the	the	DET
cana-4932	481	15	4	4	NUM
cana-4932	481	16	-	-	SYM
cana-4932	481	17	7	7	NUM
cana-4932	481	18	curve	curve	NOUN
cana-4932	481	19	had	have	VERB
cana-4932	481	20	more	more	ADJ
cana-4932	481	21	than	than	ADP
cana-4932	481	22	approximately	approximately	ADV
cana-4932	481	23	twice	twice	DET
cana-4932	481	24	the	the	DET
cana-4932	481	25	growth	growth	NOUN
cana-4932	481	26	.	.	PUNCT
cana-4932	482	1	fig	fig	NOUN
cana-4932	482	2	.	.	PUNCT
cana-4932	483	1	4	4	NUM
cana-4932	483	2	-	-	SYM
cana-4932	483	3	7	7	NUM
cana-4932	483	4	:	:	PUNCT
cana-4932	483	5	the	the	DET
cana-4932	483	6	spectral	spectral	ADJ
cana-4932	483	7	efficiency	efficiency	NOUN
cana-4932	483	8	curve	curve	NOUN
cana-4932	483	9	of	of	ADP
cana-4932	483	10	the	the	DET
cana-4932	483	11	system	system	NOUN
cana-4932	483	12	in	in	ADP
cana-4932	483	13	accordance	accordance	NOUN
cana-4932	483	14	with	with	ADP
cana-4932	483	15	the	the	DET
cana-4932	483	16	third	third	ADJ
cana-4932	483	17	proposed	propose	VERB
cana-4932	483	18	method	method	NOUN
cana-4932	483	19	based	base	VERB
cana-4932	483	20	on	on	ADP
cana-4932	483	21	varying	vary	VERB
cana-4932	483	22	the	the	DET
cana-4932	483	23	number	number	NOUN
cana-4932	483	24	of	of	ADP
cana-4932	483	25	clusters	cluster	NOUN
cana-4932	483	26	with	with	ADP
cana-4932	483	27	a	a	DET
cana-4932	483	28	fixed	fix	VERB
cana-4932	483	29	number	number	NOUN
cana-4932	483	30	of	of	ADP
cana-4932	483	31	users	user	NOUN
cana-4932	483	32	.	.	PUNCT
cana-4932	484	1	fig	fig	NOUN
cana-4932	484	2	.	.	PUNCT
cana-4932	485	1	4	4	NUM
cana-4932	485	2	-	-	SYM
cana-4932	485	3	8	8	NUM
cana-4932	485	4	:	:	PUNCT
cana-4932	485	5	the	the	DET
cana-4932	485	6	elapsed	elapse	VERB
cana-4932	485	7	time	time	NOUN
cana-4932	485	8	diagram	diagram	NOUN
cana-4932	485	9	by	by	ADP
cana-4932	485	10	the	the	DET
cana-4932	485	11	computer	computer	NOUN
cana-4932	485	12	system	system	NOUN
cana-4932	485	13	processor	processor	NOUN
cana-4932	485	14	for	for	ADP
cana-4932	485	15	performing	perform	VERB
cana-4932	485	16	computations	computation	NOUN
cana-4932	485	17	and	and	CCONJ
cana-4932	485	18	solving	solve	VERB
cana-4932	485	19	mathematical	mathematical	ADJ
cana-4932	485	20	problems	problem	NOUN
cana-4932	485	21	based	base	VERB
cana-4932	485	22	on	on	ADP
cana-4932	485	23	the	the	DET
cana-4932	485	24	modified	modified	ADJ
cana-4932	485	25	zf	zf	PROPN
cana-4932	485	26	in	in	ADP
cana-4932	485	27	terms	term	NOUN
cana-4932	485	28	of	of	ADP
cana-4932	485	29	increasing	increase	VERB
cana-4932	485	30	complexity	complexity	NOUN
cana-4932	485	31	in	in	ADP
cana-4932	485	32	the	the	DET
cana-4932	485	33	telecommunications	telecommunications	NOUN
cana-4932	485	34	system	system	NOUN
cana-4932	485	35	structure	structure	NOUN
cana-4932	485	36	.	.	PUNCT
cana-4932	486	1	in	in	ADP
cana-4932	486	2	accordance	accordance	NOUN
cana-4932	486	3	with	with	ADP
cana-4932	486	4	fig	fig	NOUN
cana-4932	486	5	.	.	PUNCT
cana-4932	487	1	4	4	NUM
cana-4932	487	2	-	-	SYM
cana-4932	487	3	7	7	NUM
cana-4932	487	4	,	,	PUNCT
cana-4932	487	5	with	with	ADP
cana-4932	487	6	increasing	increase	VERB
cana-4932	487	7	complexity	complexity	NOUN
cana-4932	487	8	of	of	ADP
cana-4932	487	9	mathematical	mathematical	ADJ
cana-4932	487	10	computations	computation	NOUN
cana-4932	487	11	,	,	PUNCT
cana-4932	487	12	the	the	DET
cana-4932	487	13	spectral	spectral	ADJ
cana-4932	487	14	efficiency	efficiency	NOUN
cana-4932	487	15	curve	curve	NOUN
cana-4932	487	16	has	have	AUX
cana-4932	487	17	nearly	nearly	ADV
cana-4932	487	18	tripled	triple	VERB
cana-4932	487	19	.	.	PUNCT
cana-4932	488	1	as	as	SCONJ
cana-4932	488	2	depicted	depict	VERB
cana-4932	488	3	in	in	ADP
cana-4932	488	4	fig	fig	NOUN
cana-4932	488	5	.	.	PUNCT
cana-4932	489	1	4	4	NUM
cana-4932	489	2	-	-	SYM
cana-4932	489	3	8	8	NUM
cana-4932	489	4	,	,	PUNCT
cana-4932	489	5	with	with	ADP
cana-4932	489	6	further	further	ADJ
cana-4932	489	7	complexity	complexity	NOUN
cana-4932	489	8	in	in	ADP
cana-4932	489	9	mathematical	mathematical	ADJ
cana-4932	489	10	computations	computation	NOUN
cana-4932	489	11	,	,	PUNCT
cana-4932	489	12	the	the	DET
cana-4932	489	13	time	time	NOUN
cana-4932	489	14	taken	take	VERB
cana-4932	489	15	has	have	AUX
cana-4932	489	16	increased	increase	VERB
cana-4932	489	17	to	to	ADP
cana-4932	489	18	slightly	slightly	ADV
cana-4932	489	19	less	less	ADJ
cana-4932	489	20	than	than	ADP
cana-4932	489	21	approximately	approximately	ADV
cana-4932	489	22	twice	twice	ADV
cana-4932	489	23	and	and	CCONJ
cana-4932	489	24	from	from	ADP
cana-4932	489	25	a	a	DET
cana-4932	489	26	certain	certain	ADJ
cana-4932	489	27	communications	communication	NOUN
cana-4932	489	28	on	on	ADP
cana-4932	489	29	applied	apply	VERB
cana-4932	489	30	nonlinear	nonlinear	ADJ
cana-4932	489	31	analysis	analysis	NOUN
cana-4932	489	32	issn	issn	NOUN
cana-4932	489	33	:	:	PUNCT
cana-4932	489	34	1074	1074	NUM
cana-4932	489	35	-	-	PUNCT
cana-4932	489	36	133x	133x	NUM
cana-4932	489	37	vol	vol	VERB
cana-4932	489	38	32	32	NUM
cana-4932	489	39	no	no	NOUN
cana-4932	489	40	.	.	PUNCT
cana-4932	490	1	10s	10	NOUN
cana-4932	490	2	(	(	PUNCT
cana-4932	490	3	2025	2025	NUM
cana-4932	490	4	)	)	PUNCT
cana-4932	490	5	1003	1003	NUM
cana-4932	490	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	490	7	point	point	NOUN
cana-4932	490	8	onwards	onwards	ADV
cana-4932	490	9	,	,	PUNCT
cana-4932	490	10	the	the	DET
cana-4932	490	11	trend	trend	NOUN
cana-4932	490	12	of	of	ADP
cana-4932	490	13	time	time	NOUN
cana-4932	490	14	reduction	reduction	NOUN
cana-4932	490	15	has	have	AUX
cana-4932	490	16	significantly	significantly	ADV
cana-4932	490	17	decreased	decrease	VERB
cana-4932	490	18	.	.	PUNCT
cana-4932	491	1	hence	hence	ADV
cana-4932	491	2	,	,	PUNCT
cana-4932	491	3	by	by	ADP
cana-4932	491	4	comparing	compare	VERB
cana-4932	491	5	fig	fig	NOUN
cana-4932	491	6	.	.	PUNCT
cana-4932	492	1	4	4	NUM
cana-4932	492	2	-	-	SYM
cana-4932	492	3	4	4	NUM
cana-4932	492	4	and	and	CCONJ
cana-4932	492	5	4	4	NUM
cana-4932	492	6	-	-	SYM
cana-4932	492	7	8	8	NUM
cana-4932	492	8	,	,	PUNCT
cana-4932	492	9	it	it	PRON
cana-4932	492	10	is	be	AUX
cana-4932	492	11	observed	observe	VERB
cana-4932	492	12	that	that	SCONJ
cana-4932	492	13	the	the	DET
cana-4932	492	14	third	third	ADJ
cana-4932	492	15	method	method	NOUN
cana-4932	492	16	is	be	AUX
cana-4932	492	17	worthwhile	worthwhile	ADJ
cana-4932	492	18	as	as	SCONJ
cana-4932	492	19	it	it	PRON
cana-4932	492	20	can	can	AUX
cana-4932	492	21	achieve	achieve	VERB
cana-4932	492	22	a	a	DET
cana-4932	492	23	better	well	ADJ
cana-4932	492	24	spectral	spectral	ADJ
cana-4932	492	25	efficiency	efficiency	NOUN
cana-4932	492	26	(	(	PUNCT
cana-4932	492	27	almost	almost	ADV
cana-4932	492	28	triple	triple	ADJ
cana-4932	492	29	)	)	PUNCT
cana-4932	492	30	in	in	ADP
cana-4932	492	31	the	the	DET
cana-4932	492	32	system	system	NOUN
cana-4932	492	33	within	within	ADP
cana-4932	492	34	a	a	DET
cana-4932	492	35	time	time	NOUN
cana-4932	492	36	frame	frame	NOUN
cana-4932	492	37	almost	almost	ADV
cana-4932	492	38	similar	similar	ADJ
cana-4932	492	39	to	to	ADP
cana-4932	492	40	the	the	DET
cana-4932	492	41	previous	previous	ADJ
cana-4932	492	42	method	method	NOUN
cana-4932	492	43	.	.	PUNCT
cana-4932	493	1	fig	fig	NOUN
cana-4932	493	2	.	.	PUNCT
cana-4932	494	1	4	4	NUM
cana-4932	494	2	-	-	SYM
cana-4932	494	3	9	9	NUM
cana-4932	494	4	:	:	PUNCT
cana-4932	494	5	a	a	DET
cana-4932	494	6	bar	bar	NOUN
cana-4932	494	7	chart	chart	NOUN
cana-4932	494	8	comparing	compare	VERB
cana-4932	494	9	the	the	DET
cana-4932	494	10	achievable	achievable	ADJ
cana-4932	494	11	information	information	NOUN
cana-4932	494	12	rates	rate	NOUN
cana-4932	494	13	for	for	ADP
cana-4932	494	14	the	the	DET
cana-4932	494	15	weakest	weak	ADJ
cana-4932	494	16	user	user	NOUN
cana-4932	494	17	in	in	ADP
cana-4932	494	18	each	each	DET
cana-4932	494	19	cluster	cluster	NOUN
cana-4932	494	20	in	in	ADP
cana-4932	494	21	the	the	DET
cana-4932	494	22	second	second	ADJ
cana-4932	494	23	and	and	CCONJ
cana-4932	494	24	third	third	ADJ
cana-4932	494	25	proposed	propose	VERB
cana-4932	494	26	methods	method	NOUN
cana-4932	494	27	.	.	PUNCT
cana-4932	495	1	fig	fig	NOUN
cana-4932	495	2	.	.	PUNCT
cana-4932	496	1	4	4	NUM
cana-4932	496	2	-	-	SYM
cana-4932	496	3	9	9	NUM
cana-4932	496	4	provides	provide	VERB
cana-4932	496	5	a	a	DET
cana-4932	496	6	comparative	comparative	ADJ
cana-4932	496	7	analysis	analysis	NOUN
cana-4932	496	8	of	of	ADP
cana-4932	496	9	the	the	DET
cana-4932	496	10	achievable	achievable	ADJ
cana-4932	496	11	information	information	NOUN
cana-4932	496	12	rate	rate	NOUN
cana-4932	496	13	for	for	ADP
cana-4932	496	14	the	the	DET
cana-4932	496	15	weakest	weak	ADJ
cana-4932	496	16	users	user	NOUN
cana-4932	496	17	within	within	ADP
cana-4932	496	18	each	each	DET
cana-4932	496	19	cluster	cluster	NOUN
cana-4932	496	20	between	between	ADP
cana-4932	496	21	the	the	DET
cana-4932	496	22	second	second	ADJ
cana-4932	496	23	and	and	CCONJ
cana-4932	496	24	third	third	ADJ
cana-4932	496	25	proposed	propose	VERB
cana-4932	496	26	methods	method	NOUN
cana-4932	496	27	.	.	PUNCT
cana-4932	497	1	the	the	DET
cana-4932	497	2	orange	orange	PROPN
cana-4932	497	3	bar	bar	PROPN
cana-4932	497	4	indicator	indicator	NOUN
cana-4932	497	5	represents	represent	VERB
cana-4932	497	6	the	the	DET
cana-4932	497	7	second	second	ADJ
cana-4932	497	8	proposed	propose	VERB
cana-4932	497	9	method	method	NOUN
cana-4932	497	10	,	,	PUNCT
cana-4932	497	11	while	while	SCONJ
cana-4932	497	12	the	the	DET
cana-4932	497	13	blue	blue	ADJ
cana-4932	497	14	bar	bar	NOUN
cana-4932	497	15	indicator	indicator	NOUN
cana-4932	497	16	depicts	depict	VERB
cana-4932	497	17	the	the	DET
cana-4932	497	18	third	third	ADJ
cana-4932	497	19	proposed	propose	VERB
cana-4932	497	20	method	method	NOUN
cana-4932	497	21	.	.	PUNCT
cana-4932	498	1	as	as	SCONJ
cana-4932	498	2	mentioned	mention	VERB
cana-4932	498	3	in	in	ADP
cana-4932	498	4	the	the	DET
cana-4932	498	5	bar	bar	NOUN
cana-4932	498	6	chart	chart	NOUN
cana-4932	498	7	analysis	analysis	NOUN
cana-4932	498	8	in	in	ADP
cana-4932	498	9	fig	fig	NOUN
cana-4932	498	10	.	.	PUNCT
cana-4932	499	1	4	4	NUM
cana-4932	499	2	-	-	SYM
cana-4932	499	3	5	5	NUM
cana-4932	499	4	,	,	PUNCT
cana-4932	499	5	the	the	DET
cana-4932	499	6	purpose	purpose	NOUN
cana-4932	499	7	of	of	ADP
cana-4932	499	8	simulating	simulate	VERB
cana-4932	499	9	this	this	DET
cana-4932	499	10	fig	fig	NOUN
cana-4932	499	11	.	.	PUNCT
cana-4932	499	12	is	be	AUX
cana-4932	499	13	to	to	PART
cana-4932	499	14	demonstrate	demonstrate	VERB
cana-4932	499	15	the	the	DET
cana-4932	499	16	impact	impact	NOUN
cana-4932	499	17	of	of	ADP
cana-4932	499	18	the	the	DET
cana-4932	499	19	third	third	ADJ
cana-4932	499	20	constraint	constraint	NOUN
cana-4932	499	21	in	in	ADP
cana-4932	499	22	the	the	DET
cana-4932	499	23	optimization	optimization	NOUN
cana-4932	499	24	problem	problem	NOUN
cana-4932	499	25	to	to	PART
cana-4932	499	26	ensure	ensure	VERB
cana-4932	499	27	fairness	fairness	NOUN
cana-4932	499	28	in	in	ADP
cana-4932	499	29	the	the	DET
cana-4932	499	30	noma	noma	PROPN
cana-4932	499	31	scheme	scheme	NOUN
cana-4932	499	32	in	in	ADP
cana-4932	499	33	our	our	PRON
cana-4932	499	34	proposed	propose	VERB
cana-4932	499	35	methods	method	NOUN
cana-4932	499	36	.	.	PUNCT
cana-4932	500	1	this	this	DET
cana-4932	500	2	simulation	simulation	NOUN
cana-4932	500	3	,	,	PUNCT
cana-4932	500	4	similar	similar	ADJ
cana-4932	500	5	to	to	ADP
cana-4932	500	6	the	the	DET
cana-4932	500	7	previous	previous	ADJ
cana-4932	500	8	method	method	NOUN
cana-4932	500	9	,	,	PUNCT
cana-4932	500	10	was	be	AUX
cana-4932	500	11	conducted	conduct	VERB
cana-4932	500	12	for	for	ADP
cana-4932	500	13	4	4	NUM
cana-4932	500	14	clusters	cluster	NOUN
cana-4932	500	15	and	and	CCONJ
cana-4932	500	16	24	24	NUM
cana-4932	500	17	users	user	NOUN
cana-4932	500	18	.	.	PUNCT
cana-4932	501	1	as	as	ADV
cana-4932	501	2	evident	evident	ADJ
cana-4932	501	3	in	in	ADP
cana-4932	501	4	fig	fig	NOUN
cana-4932	501	5	.	.	PUNCT
cana-4932	502	1	4	4	NUM
cana-4932	502	2	-	-	SYM
cana-4932	502	3	9	9	NUM
cana-4932	502	4	,	,	PUNCT
cana-4932	502	5	in	in	ADP
cana-4932	502	6	both	both	DET
cana-4932	502	7	methods	method	NOUN
cana-4932	502	8	,	,	PUNCT
cana-4932	502	9	the	the	DET
cana-4932	502	10	weakest	weak	ADJ
cana-4932	502	11	users	user	NOUN
cana-4932	502	12	in	in	ADP
cana-4932	502	13	each	each	DET
cana-4932	502	14	cluster	cluster	NOUN
cana-4932	502	15	have	have	AUX
cana-4932	502	16	achieved	achieve	VERB
cana-4932	502	17	a	a	DET
cana-4932	502	18	considerable	considerable	ADJ
cana-4932	502	19	information	information	NOUN
cana-4932	502	20	rate	rate	NOUN
cana-4932	502	21	.	.	PUNCT
cana-4932	503	1	therefore	therefore	ADV
cana-4932	503	2	,	,	PUNCT
cana-4932	503	3	our	our	PRON
cana-4932	503	4	proposed	propose	VERB
cana-4932	503	5	methods	method	NOUN
cana-4932	503	6	not	not	PART
cana-4932	503	7	only	only	ADV
cana-4932	503	8	do	do	AUX
cana-4932	503	9	not	not	PART
cana-4932	503	10	violate	violate	VERB
cana-4932	503	11	the	the	DET
cana-4932	503	12	nature	nature	NOUN
cana-4932	503	13	of	of	ADP
cana-4932	503	14	noma	noma	PROPN
cana-4932	503	15	technology	technology	PROPN
cana-4932	503	16	based	base	VERB
cana-4932	503	17	on	on	ADP
cana-4932	503	18	ensuring	ensure	VERB
cana-4932	503	19	fairness	fairness	NOUN
cana-4932	503	20	and	and	CCONJ
cana-4932	503	21	proper	proper	ADJ
cana-4932	503	22	implementation	implementation	NOUN
cana-4932	503	23	of	of	ADP
cana-4932	503	24	sic	sic	ADJ
cana-4932	503	25	but	but	CCONJ
cana-4932	503	26	also	also	ADV
cana-4932	503	27	provide	provide	VERB
cana-4932	503	28	weaker	weak	ADJ
cana-4932	503	29	users	user	NOUN
cana-4932	503	30	in	in	ADP
cana-4932	503	31	each	each	DET
cana-4932	503	32	cluster	cluster	NOUN
cana-4932	503	33	with	with	ADP
cana-4932	503	34	more	more	ADJ
cana-4932	503	35	capacity	capacity	NOUN
cana-4932	503	36	.	.	PUNCT
cana-4932	504	1	consequently	consequently	ADV
cana-4932	504	2	,	,	PUNCT
cana-4932	504	3	sic	sic	ADJ
cana-4932	504	4	operates	operate	VERB
cana-4932	504	5	correctly	correctly	ADV
cana-4932	504	6	,	,	PUNCT
cana-4932	504	7	and	and	CCONJ
cana-4932	504	8	as	as	ADP
cana-4932	504	9	a	a	DET
cana-4932	504	10	result	result	NOUN
cana-4932	504	11	,	,	PUNCT
cana-4932	504	12	the	the	DET
cana-4932	504	13	achievable	achievable	ADJ
cana-4932	504	14	information	information	NOUN
cana-4932	504	15	rate	rate	NOUN
cana-4932	504	16	for	for	ADP
cana-4932	504	17	each	each	DET
cana-4932	504	18	user	user	NOUN
cana-4932	504	19	also	also	ADV
cana-4932	504	20	improves	improve	VERB
cana-4932	504	21	.	.	PUNCT
cana-4932	505	1	fig	fig	NOUN
cana-4932	505	2	.	.	PUNCT
cana-4932	506	1	4	4	NUM
cana-4932	506	2	-	-	SYM
cana-4932	506	3	10	10	NUM
cana-4932	506	4	:	:	PUNCT
cana-4932	506	5	the	the	DET
cana-4932	506	6	system	system	NOUN
cana-4932	506	7	information	information	NOUN
cana-4932	506	8	rate	rate	NOUN
cana-4932	506	9	with	with	ADP
cana-4932	506	10	respect	respect	NOUN
cana-4932	506	11	to	to	ADP
cana-4932	506	12	the	the	DET
cana-4932	506	13	increase	increase	NOUN
cana-4932	506	14	in	in	ADP
cana-4932	506	15	the	the	DET
cana-4932	506	16	number	number	NOUN
cana-4932	506	17	of	of	ADP
cana-4932	506	18	antennas	antenna	NOUN
cana-4932	506	19	.	.	PUNCT
cana-4932	507	1	communications	communication	NOUN
cana-4932	507	2	on	on	ADP
cana-4932	507	3	applied	apply	VERB
cana-4932	507	4	nonlinear	nonlinear	ADJ
cana-4932	507	5	analysis	analysis	NOUN
cana-4932	507	6	issn	issn	NOUN
cana-4932	507	7	:	:	PUNCT
cana-4932	507	8	1074	1074	NUM
cana-4932	507	9	-	-	PUNCT
cana-4932	507	10	133x	133x	NUM
cana-4932	507	11	vol	vol	VERB
cana-4932	507	12	32	32	NUM
cana-4932	507	13	no	no	NOUN
cana-4932	507	14	.	.	PUNCT
cana-4932	508	1	10s	10	NOUN
cana-4932	508	2	(	(	PUNCT
cana-4932	508	3	2025	2025	NUM
cana-4932	508	4	)	)	PUNCT
cana-4932	508	5	1004	1004	NUM
cana-4932	508	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	508	7	fig	fig	NOUN
cana-4932	508	8	.	.	PUNCT
cana-4932	509	1	4	4	NUM
cana-4932	509	2	-	-	SYM
cana-4932	509	3	10	10	NUM
cana-4932	509	4	illustrates	illustrate	VERB
cana-4932	509	5	the	the	DET
cana-4932	509	6	evolution	evolution	NOUN
cana-4932	509	7	of	of	ADP
cana-4932	509	8	the	the	DET
cana-4932	509	9	achievable	achievable	ADJ
cana-4932	509	10	data	data	NOUN
cana-4932	509	11	rate	rate	NOUN
cana-4932	509	12	for	for	ADP
cana-4932	509	13	users	user	NOUN
cana-4932	509	14	in	in	ADP
cana-4932	509	15	a	a	DET
cana-4932	509	16	massive	massive	ADJ
cana-4932	509	17	mimo	mimo	NOUN
cana-4932	509	18	system	system	NOUN
cana-4932	509	19	(	(	PUNCT
cana-4932	509	20	crmn	crmn	NOUN
cana-4932	509	21	)	)	PUNCT
cana-4932	509	22	.	.	PUNCT
cana-4932	510	1	as	as	SCONJ
cana-4932	510	2	the	the	DET
cana-4932	510	3	number	number	NOUN
cana-4932	510	4	of	of	ADP
cana-4932	510	5	antennas	antennas	NOUN
cana-4932	510	6	increases	increase	NOUN
cana-4932	510	7	,	,	PUNCT
cana-4932	510	8	antenna	antenna	NOUN
cana-4932	510	9	gain	gain	NOUN
cana-4932	510	10	rises	rise	NOUN
cana-4932	510	11	,	,	PUNCT
cana-4932	510	12	signals	signal	NOUN
cana-4932	510	13	are	be	AUX
cana-4932	510	14	received	receive	VERB
cana-4932	510	15	more	more	ADV
cana-4932	510	16	strongly	strongly	ADV
cana-4932	510	17	,	,	PUNCT
cana-4932	510	18	the	the	DET
cana-4932	510	19	data	data	NOUN
cana-4932	510	20	rate	rate	NOUN
cana-4932	510	21	of	of	ADP
cana-4932	510	22	received	receive	VERB
cana-4932	510	23	signals	signal	NOUN
cana-4932	510	24	improves	improve	VERB
cana-4932	510	25	,	,	PUNCT
cana-4932	510	26	and	and	CCONJ
cana-4932	510	27	the	the	DET
cana-4932	510	28	system	system	NOUN
cana-4932	510	29	exhibits	exhibit	VERB
cana-4932	510	30	scalability	scalability	NOUN
cana-4932	510	31	properties	property	NOUN
cana-4932	510	32	.	.	PUNCT
cana-4932	511	1	however	however	ADV
cana-4932	511	2	,	,	PUNCT
cana-4932	511	3	at	at	ADP
cana-4932	511	4	a	a	DET
cana-4932	511	5	certain	certain	ADJ
cana-4932	511	6	point	point	NOUN
cana-4932	511	7	,	,	PUNCT
cana-4932	511	8	the	the	DET
cana-4932	511	9	data	data	NOUN
cana-4932	511	10	rate	rate	NOUN
cana-4932	511	11	curve	curve	NOUN
cana-4932	511	12	does	do	AUX
cana-4932	511	13	not	not	PART
cana-4932	511	14	increase	increase	VERB
cana-4932	511	15	significantly	significantly	ADV
cana-4932	511	16	as	as	SCONJ
cana-4932	511	17	the	the	DET
cana-4932	511	18	number	number	NOUN
cana-4932	511	19	of	of	ADP
cana-4932	511	20	antennas	antenna	NOUN
cana-4932	511	21	grows	grow	VERB
cana-4932	511	22	and	and	CCONJ
cana-4932	511	23	the	the	DET
cana-4932	511	24	beams	beam	NOUN
cana-4932	511	25	sharpen	sharpen	VERB
cana-4932	511	26	because	because	SCONJ
cana-4932	511	27	some	some	DET
cana-4932	511	28	users	user	NOUN
cana-4932	511	29	within	within	ADP
cana-4932	511	30	noma	noma	PROPN
cana-4932	511	31	lose	lose	VERB
cana-4932	511	32	coverage	coverage	NOUN
cana-4932	511	33	.	.	PUNCT
cana-4932	512	1	.5conclusion	.5conclusion	PUNCT
cana-4932	513	1	the	the	DET
cana-4932	513	2	optimization	optimization	NOUN
cana-4932	513	3	problem	problem	NOUN
cana-4932	513	4	concerning	concern	VERB
cana-4932	513	5	the	the	DET
cana-4932	513	6	crmn	crmn	ADJ
cana-4932	513	7	system	system	NOUN
cana-4932	513	8	aiming	aim	VERB
cana-4932	513	9	to	to	PART
cana-4932	513	10	maximize	maximize	VERB
cana-4932	513	11	the	the	DET
cana-4932	513	12	sum	sum	NOUN
cana-4932	513	13	user	user	NOUN
cana-4932	513	14	rate	rate	NOUN
cana-4932	513	15	network	network	NOUN
cana-4932	513	16	has	have	AUX
cana-4932	513	17	been	be	AUX
cana-4932	513	18	formulated	formulate	VERB
cana-4932	513	19	.	.	PUNCT
cana-4932	514	1	this	this	DET
cana-4932	514	2	problem	problem	NOUN
cana-4932	514	3	includes	include	VERB
cana-4932	514	4	an	an	DET
cana-4932	514	5	objective	objective	ADJ
cana-4932	514	6	function	function	NOUN
cana-4932	514	7	and	and	CCONJ
cana-4932	514	8	several	several	ADJ
cana-4932	514	9	constraints	constraint	NOUN
cana-4932	514	10	,	,	PUNCT
cana-4932	514	11	where	where	SCONJ
cana-4932	514	12	the	the	DET
cana-4932	514	13	objective	objective	ADJ
cana-4932	514	14	function	function	NOUN
cana-4932	514	15	is	be	AUX
cana-4932	514	16	non	non	ADJ
cana-4932	514	17	-	-	ADJ
cana-4932	514	18	convex	convex	ADJ
cana-4932	514	19	and	and	CCONJ
cana-4932	514	20	the	the	DET
cana-4932	514	21	constraints	constraint	NOUN
cana-4932	514	22	of	of	ADP
cana-4932	514	23	the	the	DET
cana-4932	514	24	problem	problem	NOUN
cana-4932	514	25	are	be	AUX
cana-4932	514	26	all	all	ADV
cana-4932	514	27	linear	linear	ADJ
cana-4932	514	28	and	and	CCONJ
cana-4932	514	29	convex	convex	PROPN
cana-4932	514	30	.	.	PUNCT
cana-4932	515	1	therefore	therefore	ADV
cana-4932	515	2	,	,	PUNCT
cana-4932	515	3	the	the	DET
cana-4932	515	4	formulated	formulated	ADJ
cana-4932	515	5	optimization	optimization	NOUN
cana-4932	515	6	problem	problem	NOUN
cana-4932	515	7	is	be	AUX
cana-4932	515	8	also	also	ADV
cana-4932	515	9	non	non	ADJ
cana-4932	515	10	-	-	ADJ
cana-4932	515	11	convex	convex	ADJ
cana-4932	515	12	.	.	PUNCT
cana-4932	516	1	by	by	ADP
cana-4932	516	2	employing	employ	VERB
cana-4932	516	3	simplifications	simplification	NOUN
cana-4932	516	4	and	and	CCONJ
cana-4932	516	5	several	several	ADJ
cana-4932	516	6	lemmas	lemmas	ADJ
cana-4932	516	7	,	,	PUNCT
cana-4932	516	8	the	the	DET
cana-4932	516	9	problem	problem	NOUN
cana-4932	516	10	was	be	AUX
cana-4932	516	11	transformed	transform	VERB
cana-4932	516	12	into	into	ADP
cana-4932	516	13	the	the	DET
cana-4932	516	14	form	form	NOUN
cana-4932	516	15	of	of	ADP
cana-4932	516	16	a	a	DET
cana-4932	516	17	convex	convex	ADJ
cana-4932	516	18	optimization	optimization	NOUN
cana-4932	516	19	problem	problem	NOUN
cana-4932	516	20	.	.	PUNCT
cana-4932	517	1	the	the	DET
cana-4932	517	2	convexities	convexity	NOUN
cana-4932	517	3	form	form	NOUN
cana-4932	517	4	of	of	ADP
cana-4932	517	5	the	the	DET
cana-4932	517	6	problem	problem	NOUN
cana-4932	517	7	was	be	AUX
cana-4932	517	8	then	then	ADV
cana-4932	517	9	analyzed	analyze	VERB
cana-4932	517	10	and	and	CCONJ
cana-4932	517	11	deconstructed	deconstruct	VERB
cana-4932	517	12	using	use	VERB
cana-4932	517	13	the	the	DET
cana-4932	517	14	cvx	cvx	PROPN
cana-4932	517	15	toolbox	toolbox	NOUN
cana-4932	517	16	in	in	ADP
cana-4932	517	17	the	the	DET
cana-4932	517	18	matlab	matlab	PROPN
cana-4932	517	19	computational	computational	PROPN
cana-4932	517	20	simulation	simulation	NOUN
cana-4932	517	21	software	software	PROPN
cana-4932	517	22	.	.	PUNCT
cana-4932	518	1	the	the	DET
cana-4932	518	2	optimization	optimization	NOUN
cana-4932	518	3	variables	variable	NOUN
cana-4932	518	4	{	{	PUNCT
cana-4932	518	5	𝑝𝑔.𝑚𝑔	𝑝𝑔.𝑚𝑔	PROPN
cana-4932	518	6	}	}	PUNCT
cana-4932	518	7	were	be	AUX
cana-4932	518	8	optimized	optimize	VERB
cana-4932	518	9	using	use	VERB
cana-4932	518	10	the	the	DET
cana-4932	518	11	cvx	cvx	PROPN
cana-4932	518	12	toolbox	toolbox	NOUN
cana-4932	518	13	.	.	PUNCT
cana-4932	519	1	in	in	ADP
cana-4932	519	2	the	the	DET
cana-4932	519	3	analysis	analysis	NOUN
cana-4932	519	4	of	of	ADP
cana-4932	519	5	simulation	simulation	NOUN
cana-4932	519	6	results	result	NOUN
cana-4932	519	7	based	base	VERB
cana-4932	519	8	on	on	ADP
cana-4932	519	9	our	our	PRON
cana-4932	519	10	proposed	propose	VERB
cana-4932	519	11	methods	method	NOUN
cana-4932	519	12	,	,	PUNCT
cana-4932	519	13	which	which	PRON
cana-4932	519	14	involve	involve	VERB
cana-4932	519	15	power	power	NOUN
cana-4932	519	16	management	management	NOUN
cana-4932	519	17	in	in	ADP
cana-4932	519	18	the	the	DET
cana-4932	519	19	crmn	crmn	ADJ
cana-4932	519	20	network	network	NOUN
cana-4932	519	21	by	by	ADP
cana-4932	519	22	introducing	introduce	VERB
cana-4932	519	23	interference	interference	NOUN
cana-4932	519	24	constraints	constraint	NOUN
cana-4932	519	25	from	from	ADP
cana-4932	519	26	the	the	DET
cana-4932	519	27	primary	primary	ADJ
cana-4932	519	28	user	user	NOUN
cana-4932	519	29	side	side	NOUN
cana-4932	519	30	,	,	PUNCT
cana-4932	519	31	cluster	cluster	NOUN
cana-4932	519	32	selection	selection	NOUN
cana-4932	519	33	considering	consider	VERB
cana-4932	519	34	the	the	DET
cana-4932	519	35	status	status	NOUN
cana-4932	519	36	of	of	ADP
cana-4932	519	37	the	the	DET
cana-4932	519	38	primary	primary	ADJ
cana-4932	519	39	user	user	NOUN
cana-4932	519	40	,	,	PUNCT
cana-4932	519	41	and	and	CCONJ
cana-4932	519	42	beamforming	beamforme	VERB
cana-4932	519	43	based	base	VERB
cana-4932	519	44	on	on	ADP
cana-4932	519	45	modified	modified	ADJ
cana-4932	519	46	zf	zf	PROPN
cana-4932	519	47	,	,	PUNCT
cana-4932	519	48	we	we	PRON
cana-4932	519	49	have	have	AUX
cana-4932	519	50	demonstrated	demonstrate	VERB
cana-4932	519	51	that	that	SCONJ
cana-4932	519	52	by	by	ADP
cana-4932	519	53	generalizing	generalize	VERB
cana-4932	519	54	the	the	DET
cana-4932	519	55	problem	problem	NOUN
cana-4932	519	56	to	to	ADP
cana-4932	519	57	a	a	DET
cana-4932	519	58	cognitive	cognitive	ADJ
cana-4932	519	59	radio	radio	NOUN
cana-4932	519	60	problem	problem	NOUN
cana-4932	519	61	and	and	CCONJ
cana-4932	519	62	adding	add	VERB
cana-4932	519	63	interference	interference	NOUN
cana-4932	519	64	constraints	constraint	NOUN
cana-4932	519	65	,	,	PUNCT
cana-4932	519	66	the	the	DET
cana-4932	519	67	efficiency	efficiency	NOUN
cana-4932	519	68	graph	graph	NOUN
cana-4932	519	69	decreases	decrease	NOUN
cana-4932	519	70	compared	compare	VERB
cana-4932	519	71	to	to	ADP
cana-4932	519	72	a	a	DET
cana-4932	519	73	problem	problem	NOUN
cana-4932	519	74	without	without	ADP
cana-4932	519	75	interference	interference	NOUN
cana-4932	519	76	constraints	constraint	NOUN
cana-4932	519	77	,	,	PUNCT
cana-4932	519	78	which	which	PRON
cana-4932	519	79	is	be	AUX
cana-4932	519	80	intuitive	intuitive	ADJ
cana-4932	519	81	.	.	PUNCT
cana-4932	520	1	while	while	SCONJ
cana-4932	520	2	presenting	present	VERB
cana-4932	520	3	a	a	DET
cana-4932	520	4	second	second	ADJ
cana-4932	520	5	proposed	propose	VERB
cana-4932	520	6	method	method	NOUN
cana-4932	520	7	,	,	PUNCT
cana-4932	520	8	although	although	SCONJ
cana-4932	520	9	the	the	DET
cana-4932	520	10	efficiency	efficiency	NOUN
cana-4932	520	11	graph	graph	NOUN
cana-4932	520	12	showed	show	VERB
cana-4932	520	13	significant	significant	ADJ
cana-4932	520	14	improvement	improvement	NOUN
cana-4932	520	15	in	in	ADP
cana-4932	520	16	a	a	DET
cana-4932	520	17	spectral	spectral	ADJ
cana-4932	520	18	domain	domain	NOUN
cana-4932	520	19	,	,	PUNCT
cana-4932	520	20	at	at	ADP
cana-4932	520	21	low	low	ADJ
cana-4932	520	22	interference	interference	NOUN
cana-4932	520	23	thresholds	threshold	NOUN
cana-4932	520	24	,	,	PUNCT
cana-4932	520	25	the	the	DET
cana-4932	520	26	information	information	NOUN
cana-4932	520	27	rate	rate	NOUN
cana-4932	520	28	and	and	CCONJ
cana-4932	520	29	throughput	throughput	NOUN
cana-4932	520	30	remained	remain	VERB
cana-4932	520	31	low	low	ADJ
cana-4932	520	32	.	.	PUNCT
cana-4932	521	1	consequently	consequently	ADV
cana-4932	521	2	,	,	PUNCT
cana-4932	521	3	at	at	ADP
cana-4932	521	4	these	these	DET
cana-4932	521	5	low	low	ADJ
cana-4932	521	6	interference	interference	NOUN
cana-4932	521	7	thresholds	threshold	NOUN
cana-4932	521	8	,	,	PUNCT
cana-4932	521	9	we	we	PRON
cana-4932	521	10	were	be	AUX
cana-4932	521	11	unable	unable	ADJ
cana-4932	521	12	to	to	PART
cana-4932	521	13	achieve	achieve	VERB
cana-4932	521	14	a	a	DET
cana-4932	521	15	good	good	ADJ
cana-4932	521	16	network	network	NOUN
cana-4932	521	17	capacity	capacity	NOUN
cana-4932	521	18	.	.	PUNCT
cana-4932	522	1	ultimately	ultimately	ADV
cana-4932	522	2	,	,	PUNCT
cana-4932	522	3	utilizing	utilize	VERB
cana-4932	522	4	a	a	DET
cana-4932	522	5	third	third	ADJ
cana-4932	522	6	method	method	NOUN
cana-4932	522	7	,	,	PUNCT
cana-4932	522	8	the	the	DET
cana-4932	522	9	issue	issue	NOUN
cana-4932	522	10	of	of	ADP
cana-4932	522	11	reduced	reduced	ADJ
cana-4932	522	12	information	information	NOUN
cana-4932	522	13	rate	rate	NOUN
cana-4932	522	14	and	and	CCONJ
cana-4932	522	15	spectral	spectral	ADJ
cana-4932	522	16	efficiency	efficiency	NOUN
cana-4932	522	17	of	of	ADP
cana-4932	522	18	the	the	DET
cana-4932	522	19	system	system	NOUN
cana-4932	522	20	at	at	ADP
cana-4932	522	21	low	low	ADJ
cana-4932	522	22	thresholds	threshold	NOUN
cana-4932	522	23	noticeably	noticeably	ADV
cana-4932	522	24	improved	improve	VERB
cana-4932	522	25	.	.	PUNCT
cana-4932	523	1	however	however	ADV
cana-4932	523	2	,	,	PUNCT
cana-4932	523	3	a	a	DET
cana-4932	523	4	crucial	crucial	ADJ
cana-4932	523	5	point	point	NOUN
cana-4932	523	6	found	find	VERB
cana-4932	523	7	in	in	ADP
cana-4932	523	8	the	the	DET
cana-4932	523	9	analysis	analysis	NOUN
cana-4932	523	10	of	of	ADP
cana-4932	523	11	the	the	DET
cana-4932	523	12	graphs	graph	NOUN
cana-4932	523	13	is	be	AUX
cana-4932	523	14	that	that	SCONJ
cana-4932	523	15	the	the	DET
cana-4932	523	16	simultaneous	simultaneous	ADJ
cana-4932	523	17	use	use	NOUN
cana-4932	523	18	of	of	ADP
cana-4932	523	19	noma	noma	PROPN
cana-4932	523	20	and	and	CCONJ
cana-4932	523	21	massive	massive	ADJ
cana-4932	523	22	mimo	mimo	PROPN
cana-4932	523	23	technology	technology	PROPN
cana-4932	523	24	in	in	ADP
cana-4932	523	25	a	a	DET
cana-4932	523	26	network	network	NOUN
cana-4932	523	27	up	up	ADP
cana-4932	523	28	to	to	ADP
cana-4932	523	29	a	a	DET
cana-4932	523	30	certain	certain	ADJ
cana-4932	523	31	stage	stage	NOUN
cana-4932	523	32	enhances	enhance	VERB
cana-4932	523	33	the	the	DET
cana-4932	523	34	overall	overall	ADJ
cana-4932	523	35	system	system	NOUN
cana-4932	523	36	rate	rate	NOUN
cana-4932	523	37	.	.	PUNCT
cana-4932	524	1	excessive	excessive	ADJ
cana-4932	524	2	increase	increase	NOUN
cana-4932	524	3	in	in	ADP
cana-4932	524	4	antennas	antenna	NOUN
cana-4932	524	5	not	not	PART
cana-4932	524	6	only	only	ADV
cana-4932	524	7	fails	fail	VERB
cana-4932	524	8	to	to	PART
cana-4932	524	9	enhance	enhance	VERB
cana-4932	524	10	network	network	NOUN
cana-4932	524	11	capacity	capacity	NOUN
cana-4932	524	12	but	but	CCONJ
cana-4932	524	13	also	also	ADV
cana-4932	524	14	leads	lead	VERB
cana-4932	524	15	to	to	ADP
cana-4932	524	16	the	the	DET
cana-4932	524	17	exclusion	exclusion	NOUN
cana-4932	524	18	of	of	ADP
cana-4932	524	19	some	some	DET
cana-4932	524	20	users	user	NOUN
cana-4932	524	21	within	within	ADP
cana-4932	524	22	the	the	DET
cana-4932	524	23	noma	noma	PROPN
cana-4932	524	24	scheme	scheme	NOUN
cana-4932	524	25	,	,	PUNCT
cana-4932	524	26	exacerbating	exacerbate	VERB
cana-4932	524	27	the	the	DET
cana-4932	524	28	system	system	NOUN
cana-4932	524	29	's	's	PART
cana-4932	524	30	capacity	capacity	NOUN
cana-4932	524	31	reduction	reduction	NOUN
cana-4932	524	32	.	.	PUNCT
cana-4932	525	1	references	reference	NOUN
cana-4932	525	2	[	[	X
cana-4932	525	3	1	1	NUM
cana-4932	525	4	]	]	PUNCT
cana-4932	525	5	f.	f.	PROPN
cana-4932	525	6	zhou	zhou	PROPN
cana-4932	525	7	,	,	PUNCT
cana-4932	525	8	y.	y.	PROPN
cana-4932	525	9	wu	wu	PROPN
cana-4932	525	10	,	,	PUNCT
cana-4932	525	11	y.-c	y.-c	PROPN
cana-4932	525	12	.	.	PUNCT
cana-4932	526	1	liang	liang	PROPN
cana-4932	526	2	,	,	PUNCT
cana-4932	526	3	z.	z.	PROPN
cana-4932	526	4	li	li	PROPN
cana-4932	526	5	,	,	PUNCT
cana-4932	526	6	y.	y.	PROPN
cana-4932	526	7	wang	wang	PROPN
cana-4932	526	8	,	,	PUNCT
cana-4932	526	9	and	and	CCONJ
cana-4932	526	10	k.-k	k.-k	PROPN
cana-4932	526	11	.	.	PUNCT
cana-4932	527	1	wong	wong	PROPN
cana-4932	527	2	,	,	PUNCT
cana-4932	527	3	"	"	PUNCT
cana-4932	527	4	state	state	NOUN
cana-4932	527	5	of	of	ADP
cana-4932	527	6	the	the	DET
cana-4932	527	7	art	art	NOUN
cana-4932	527	8	,	,	PUNCT
cana-4932	527	9	taxonomy	taxonomy	NOUN
cana-4932	527	10	,	,	PUNCT
cana-4932	527	11	and	and	CCONJ
cana-4932	527	12	open	open	ADJ
cana-4932	527	13	issues	issue	NOUN
cana-4932	527	14	on	on	ADP
cana-4932	527	15	cognitive	cognitive	ADJ
cana-4932	527	16	radio	radio	NOUN
cana-4932	527	17	networks	network	NOUN
cana-4932	527	18	with	with	ADP
cana-4932	527	19	noma	noma	NOUN
cana-4932	527	20	,	,	PUNCT
cana-4932	527	21	"	"	PUNCT
cana-4932	527	22	ieee	ieee	PROPN
cana-4932	527	23	wireless	wireless	NOUN
cana-4932	527	24	communications	communication	NOUN
cana-4932	527	25	,	,	PUNCT
cana-4932	527	26	vol	vol	NOUN
cana-4932	527	27	.	.	PROPN
cana-4932	527	28	25	25	NUM
cana-4932	527	29	,	,	PUNCT
cana-4932	527	30	no	no	INTJ
cana-4932	527	31	.	.	NOUN
cana-4932	527	32	2	2	NUM
cana-4932	527	33	,	,	PUNCT
cana-4932	527	34	pp	pp	ADJ
cana-4932	527	35	.	.	PUNCT
cana-4932	528	1	100	100	NUM
cana-4932	528	2	-	-	SYM
cana-4932	528	3	108	108	NUM
cana-4932	528	4	,	,	PUNCT
cana-4932	528	5	2018	2018	NUM
cana-4932	528	6	.	.	PUNCT
cana-4932	529	1	[	[	X
cana-4932	529	2	2	2	NUM
cana-4932	529	3	]	]	PUNCT
cana-4932	529	4	h.	h.	PROPN
cana-4932	529	5	shahrokh	shahrokh	PROPN
cana-4932	529	6	and	and	CCONJ
cana-4932	529	7	k.	k.	PROPN
cana-4932	529	8	mohamed	mohamed	PROPN
cana-4932	529	9	-	-	PUNCT
cana-4932	529	10	pour	pour	PROPN
cana-4932	529	11	,	,	PUNCT
cana-4932	529	12	"	"	PUNCT
cana-4932	529	13	sub	sub	ADJ
cana-4932	529	14	-	-	ADJ
cana-4932	529	15	optimal	optimal	ADJ
cana-4932	529	16	power	power	NOUN
cana-4932	529	17	allocation	allocation	NOUN
cana-4932	529	18	in	in	ADP
cana-4932	529	19	mimo	mimo	PROPN
cana-4932	529	20	-	-	PUNCT
cana-4932	529	21	ofdm	ofdm	PROPN
cana-4932	529	22	based	base	VERB
cana-4932	529	23	cognitive	cognitive	ADJ
cana-4932	529	24	radio	radio	NOUN
cana-4932	529	25	networks	network	NOUN
cana-4932	529	26	,	,	PUNCT
cana-4932	529	27	"	"	PUNCT
cana-4932	529	28	in	in	ADP
cana-4932	529	29	2010	2010	NUM
cana-4932	529	30	6th	6th	NOUN
cana-4932	529	31	international	international	ADJ
cana-4932	529	32	conference	conference	NOUN
cana-4932	529	33	on	on	ADP
cana-4932	529	34	wireless	wireless	ADJ
cana-4932	529	35	communications	communication	NOUN
cana-4932	529	36	networking	networking	NOUN
cana-4932	529	37	and	and	CCONJ
cana-4932	529	38	mobile	mobile	NOUN
cana-4932	529	39	computing	computing	NOUN
cana-4932	529	40	(	(	PUNCT
cana-4932	529	41	wicom	wicom	PROPN
cana-4932	529	42	)	)	PUNCT
cana-4932	529	43	,	,	PUNCT
cana-4932	529	44	2010	2010	NUM
cana-4932	529	45	:	:	PUNCT
cana-4932	529	46	ieee	ieee	NOUN
cana-4932	529	47	,	,	PUNCT
cana-4932	529	48	pp	pp	ADJ
cana-4932	529	49	.	.	PUNCT
cana-4932	530	1	1	1	NUM
cana-4932	530	2	-	-	SYM
cana-4932	530	3	5	5	NUM
cana-4932	530	4	.	.	PUNCT
cana-4932	531	1	[	[	X
cana-4932	531	2	3	3	X
cana-4932	531	3	]	]	X
cana-4932	531	4	b.	b.	PROPN
cana-4932	531	5	wang	wang	PROPN
cana-4932	531	6	and	and	CCONJ
cana-4932	531	7	k.	k.	PROPN
cana-4932	531	8	r.	r.	PROPN
cana-4932	531	9	liu	liu	PROPN
cana-4932	531	10	,	,	PUNCT
cana-4932	531	11	"	"	PUNCT
cana-4932	531	12	advances	advance	NOUN
cana-4932	531	13	in	in	ADP
cana-4932	531	14	cognitive	cognitive	ADJ
cana-4932	531	15	radio	radio	NOUN
cana-4932	531	16	networks	network	NOUN
cana-4932	531	17	:	:	PUNCT
cana-4932	531	18	a	a	DET
cana-4932	531	19	survey	survey	NOUN
cana-4932	531	20	,	,	PUNCT
cana-4932	531	21	"	"	PUNCT
cana-4932	531	22	ieee	ieee	NOUN
cana-4932	531	23	journal	journal	NOUN
cana-4932	531	24	of	of	ADP
cana-4932	531	25	selected	select	VERB
cana-4932	531	26	topics	topic	NOUN
cana-4932	531	27	in	in	ADP
cana-4932	531	28	signal	signal	ADJ
cana-4932	531	29	processing	processing	NOUN
cana-4932	531	30	,	,	PUNCT
cana-4932	531	31	vol	vol	NOUN
cana-4932	531	32	.	.	PROPN
cana-4932	531	33	5	5	NUM
cana-4932	531	34	,	,	PUNCT
cana-4932	531	35	no	no	INTJ
cana-4932	531	36	.	.	NOUN
cana-4932	531	37	1	1	NUM
cana-4932	531	38	,	,	PUNCT
cana-4932	531	39	pp	pp	ADJ
cana-4932	531	40	.	.	PUNCT
cana-4932	532	1	5	5	NUM
cana-4932	532	2	-	-	SYM
cana-4932	532	3	23	23	NUM
cana-4932	532	4	,	,	PUNCT
cana-4932	532	5	2010	2010	NUM
cana-4932	532	6	.	.	PUNCT
cana-4932	533	1	[	[	X
cana-4932	533	2	4	4	X
cana-4932	533	3	]	]	PUNCT
cana-4932	533	4	s.	s.	PROPN
cana-4932	533	5	k.	k.	PROPN
cana-4932	533	6	sharma	sharma	PROPN
cana-4932	533	7	,	,	PUNCT
cana-4932	533	8	t.	t.	PROPN
cana-4932	533	9	e.	e.	PROPN
cana-4932	533	10	bogale	bogale	PROPN
cana-4932	533	11	,	,	PUNCT
cana-4932	533	12	s.	s.	PROPN
cana-4932	533	13	chatzinotas	chatzinotas	PROPN
cana-4932	533	14	,	,	PUNCT
cana-4932	533	15	b.	b.	PROPN
cana-4932	533	16	ottersten	ottersten	PROPN
cana-4932	533	17	,	,	PUNCT
cana-4932	533	18	l.	l.	PROPN
cana-4932	533	19	b.	b.	PROPN
cana-4932	533	20	le	le	PROPN
cana-4932	533	21	,	,	PUNCT
cana-4932	533	22	and	and	CCONJ
cana-4932	533	23	x.	x.	PROPN
cana-4932	533	24	wang	wang	PROPN
cana-4932	533	25	,	,	PUNCT
cana-4932	533	26	"	"	PUNCT
cana-4932	533	27	cognitive	cognitive	ADJ
cana-4932	533	28	radio	radio	NOUN
cana-4932	533	29	techniques	technique	NOUN
cana-4932	533	30	under	under	ADP
cana-4932	533	31	practical	practical	ADJ
cana-4932	533	32	imperfections	imperfection	NOUN
cana-4932	533	33	:	:	PUNCT
cana-4932	533	34	a	a	DET
cana-4932	533	35	survey	survey	NOUN
cana-4932	533	36	,	,	PUNCT
cana-4932	533	37	"	"	PUNCT
cana-4932	533	38	ieee	ieee	NOUN
cana-4932	533	39	communications	communication	NOUN
cana-4932	533	40	surveys	survey	NOUN
cana-4932	533	41	&	&	CCONJ
cana-4932	533	42	tutorials	tutorial	NOUN
cana-4932	533	43	,	,	PUNCT
cana-4932	533	44	vol	vol	NOUN
cana-4932	533	45	.	.	PROPN
cana-4932	533	46	17	17	NUM
cana-4932	533	47	,	,	PUNCT
cana-4932	533	48	no	no	INTJ
cana-4932	533	49	.	.	NOUN
cana-4932	533	50	4	4	NUM
cana-4932	533	51	,	,	PUNCT
cana-4932	533	52	pp	pp	ADJ
cana-4932	533	53	.	.	PUNCT
cana-4932	534	1	1858	1858	NUM
cana-4932	534	2	-	-	SYM
cana-4932	534	3	1884	1884	NUM
cana-4932	534	4	,	,	PUNCT
cana-4932	534	5	2015	2015	NUM
cana-4932	534	6	.	.	PUNCT
cana-4932	535	1	communications	communication	NOUN
cana-4932	535	2	on	on	ADP
cana-4932	535	3	applied	apply	VERB
cana-4932	535	4	nonlinear	nonlinear	ADJ
cana-4932	535	5	analysis	analysis	NOUN
cana-4932	535	6	issn	issn	NOUN
cana-4932	535	7	:	:	PUNCT
cana-4932	535	8	1074	1074	NUM
cana-4932	535	9	-	-	PUNCT
cana-4932	535	10	133x	133x	NUM
cana-4932	535	11	vol	vol	VERB
cana-4932	535	12	32	32	NUM
cana-4932	535	13	no	no	NOUN
cana-4932	535	14	.	.	PUNCT
cana-4932	536	1	10s	10	NOUN
cana-4932	536	2	(	(	PUNCT
cana-4932	536	3	2025	2025	NUM
cana-4932	536	4	)	)	PUNCT
cana-4932	536	5	1005	1005	NUM
cana-4932	536	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	537	1	[	[	X
cana-4932	537	2	5	5	NUM
cana-4932	537	3	]	]	PUNCT
cana-4932	537	4	k.	k.	PROPN
cana-4932	537	5	senel	senel	PROPN
cana-4932	537	6	,	,	PUNCT
cana-4932	537	7	h.	h.	PROPN
cana-4932	537	8	v.	v.	PROPN
cana-4932	537	9	cheng	cheng	PROPN
cana-4932	537	10	,	,	PUNCT
cana-4932	537	11	e.	e.	PROPN
cana-4932	537	12	björnson	björnson	PROPN
cana-4932	537	13	,	,	PUNCT
cana-4932	537	14	and	and	CCONJ
cana-4932	537	15	e.	e.	PROPN
cana-4932	537	16	g.	g.	PROPN
cana-4932	537	17	larsson	larsson	PROPN
cana-4932	537	18	,	,	PUNCT
cana-4932	537	19	"	"	PUNCT
cana-4932	537	20	what	what	DET
cana-4932	537	21	role	role	NOUN
cana-4932	537	22	can	can	AUX
cana-4932	537	23	noma	noma	VERB
cana-4932	537	24	play	play	VERB
cana-4932	537	25	in	in	ADP
cana-4932	537	26	massive	massive	ADJ
cana-4932	537	27	mimo	mimo	PROPN
cana-4932	537	28	?	?	PROPN
cana-4932	537	29	,	,	PUNCT
cana-4932	537	30	"	"	PUNCT
cana-4932	537	31	ieee	ieee	NOUN
cana-4932	537	32	journal	journal	NOUN
cana-4932	537	33	of	of	ADP
cana-4932	537	34	selected	select	VERB
cana-4932	537	35	topics	topic	NOUN
cana-4932	537	36	in	in	ADP
cana-4932	537	37	signal	signal	ADJ
cana-4932	537	38	processing	processing	NOUN
cana-4932	537	39	,	,	PUNCT
cana-4932	537	40	vol	vol	NOUN
cana-4932	537	41	.	.	PROPN
cana-4932	537	42	13	13	NUM
cana-4932	537	43	,	,	PUNCT
cana-4932	537	44	no	no	INTJ
cana-4932	537	45	.	.	NOUN
cana-4932	537	46	3	3	NUM
cana-4932	537	47	,	,	PUNCT
cana-4932	537	48	pp	pp	ADJ
cana-4932	537	49	.	.	PUNCT
cana-4932	538	1	597	597	NUM
cana-4932	538	2	-	-	SYM
cana-4932	538	3	611	611	NUM
cana-4932	538	4	,	,	PUNCT
cana-4932	538	5	2019	2019	NUM
cana-4932	538	6	.	.	PUNCT
cana-4932	539	1	[	[	X
cana-4932	539	2	6	6	NUM
cana-4932	539	3	]	]	PUNCT
cana-4932	539	4	i.	i.	PROPN
cana-4932	539	5	f.	f.	PROPN
cana-4932	539	6	akyildiz	akyildiz	PROPN
cana-4932	539	7	,	,	PUNCT
cana-4932	539	8	w.-y	w.-y	PROPN
cana-4932	539	9	.	.	PUNCT
cana-4932	540	1	lee	lee	PROPN
cana-4932	540	2	,	,	PUNCT
cana-4932	540	3	m.	m.	PROPN
cana-4932	540	4	c.	c.	PROPN
cana-4932	540	5	vuran	vuran	PROPN
cana-4932	540	6	,	,	PUNCT
cana-4932	540	7	and	and	CCONJ
cana-4932	540	8	s.	s.	PROPN
cana-4932	540	9	mohanty	mohanty	PROPN
cana-4932	540	10	,	,	PUNCT
cana-4932	540	11	"	"	PUNCT
cana-4932	540	12	next	next	ADJ
cana-4932	540	13	generation	generation	NOUN
cana-4932	540	14	/	/	SYM
cana-4932	540	15	dynamic	dynamic	ADJ
cana-4932	540	16	spectrum	spectrum	NOUN
cana-4932	540	17	access	access	NOUN
cana-4932	540	18	/	/	SYM
cana-4932	540	19	cognitive	cognitive	ADJ
cana-4932	540	20	radio	radio	NOUN
cana-4932	540	21	wireless	wireless	NOUN
cana-4932	540	22	networks	network	NOUN
cana-4932	540	23	:	:	PUNCT
cana-4932	540	24	a	a	DET
cana-4932	540	25	survey	survey	NOUN
cana-4932	540	26	,	,	PUNCT
cana-4932	540	27	"	"	PUNCT
cana-4932	540	28	computer	computer	NOUN
cana-4932	540	29	networks	network	NOUN
cana-4932	540	30	,	,	PUNCT
cana-4932	540	31	vol	vol	NOUN
cana-4932	540	32	.	.	PROPN
cana-4932	541	1	50	50	NUM
cana-4932	541	2	,	,	PUNCT
cana-4932	541	3	no	no	INTJ
cana-4932	541	4	.	.	NOUN
cana-4932	541	5	13	13	NUM
cana-4932	541	6	,	,	PUNCT
cana-4932	541	7	pp	pp	ADJ
cana-4932	541	8	.	.	PUNCT
cana-4932	542	1	2127	2127	NUM
cana-4932	542	2	-	-	SYM
cana-4932	542	3	2159	2159	NUM
cana-4932	542	4	,	,	PUNCT
cana-4932	542	5	2006	2006	NUM
cana-4932	542	6	.	.	PUNCT
cana-4932	543	1	[	[	X
cana-4932	543	2	7	7	NUM
cana-4932	543	3	]	]	PUNCT
cana-4932	543	4	a.	a.	NOUN
cana-4932	543	5	goldsmith	goldsmith	PROPN
cana-4932	543	6	,	,	PUNCT
cana-4932	543	7	s.	s.	PROPN
cana-4932	543	8	a.	a.	PROPN
cana-4932	543	9	jafar	jafar	PROPN
cana-4932	543	10	,	,	PUNCT
cana-4932	543	11	i.	i.	PROPN
cana-4932	543	12	maric	maric	PROPN
cana-4932	543	13	,	,	PUNCT
cana-4932	543	14	and	and	CCONJ
cana-4932	543	15	s.	s.	PROPN
cana-4932	543	16	srinivasa	srinivasa	PROPN
cana-4932	543	17	,	,	PUNCT
cana-4932	543	18	"	"	PUNCT
cana-4932	543	19	breaking	break	VERB
cana-4932	543	20	spectrum	spectrum	NOUN
cana-4932	543	21	gridlock	gridlock	NOUN
cana-4932	543	22	with	with	ADP
cana-4932	543	23	cognitive	cognitive	ADJ
cana-4932	543	24	radios	radio	NOUN
cana-4932	543	25	:	:	PUNCT
cana-4932	543	26	an	an	DET
cana-4932	543	27	information	information	NOUN
cana-4932	543	28	theoretic	theoretic	NOUN
cana-4932	543	29	perspective	perspective	NOUN
cana-4932	543	30	,	,	PUNCT
cana-4932	543	31	"	"	PUNCT
cana-4932	543	32	proceedings	proceeding	NOUN
cana-4932	543	33	of	of	ADP
cana-4932	543	34	the	the	DET
cana-4932	543	35	ieee	ieee	NOUN
cana-4932	543	36	,	,	PUNCT
cana-4932	543	37	vol	vol	NOUN
cana-4932	543	38	.	.	PROPN
cana-4932	543	39	97	97	NUM
cana-4932	543	40	,	,	PUNCT
cana-4932	543	41	no	no	INTJ
cana-4932	543	42	.	.	NOUN
cana-4932	543	43	5	5	NUM
cana-4932	543	44	,	,	PUNCT
cana-4932	543	45	pp	pp	ADJ
cana-4932	543	46	.	.	PUNCT
cana-4932	543	47	894914	894914	NUM
cana-4932	543	48	,	,	PUNCT
cana-4932	543	49	2009	2009	NUM
cana-4932	543	50	.	.	PUNCT
cana-4932	544	1	[	[	X
cana-4932	544	2	8	8	NUM
cana-4932	544	3	]	]	X
cana-4932	544	4	y.	y.	PROPN
cana-4932	544	5	tao	tao	PROPN
cana-4932	544	6	,	,	PUNCT
cana-4932	544	7	l.	l.	PROPN
cana-4932	544	8	liu	liu	PROPN
cana-4932	544	9	,	,	PUNCT
cana-4932	544	10	s.	s.	PROPN
cana-4932	544	11	liu	liu	PROPN
cana-4932	544	12	,	,	PUNCT
cana-4932	544	13	and	and	CCONJ
cana-4932	544	14	z.	z.	PROPN
cana-4932	544	15	zhang	zhang	PROPN
cana-4932	544	16	,	,	PUNCT
cana-4932	544	17	"	"	PUNCT
cana-4932	544	18	a	a	DET
cana-4932	544	19	survey	survey	NOUN
cana-4932	544	20	:	:	PUNCT
cana-4932	544	21	several	several	ADJ
cana-4932	544	22	technologies	technology	NOUN
cana-4932	544	23	of	of	ADP
cana-4932	544	24	non	non	ADJ
cana-4932	544	25	-	-	ADJ
cana-4932	544	26	orthogonal	orthogonal	ADJ
cana-4932	544	27	transmission	transmission	NOUN
cana-4932	544	28	for	for	ADP
cana-4932	544	29	5	5	NUM
cana-4932	544	30	g	g	NOUN
cana-4932	544	31	,	,	PUNCT
cana-4932	544	32	"	"	PUNCT
cana-4932	544	33	china	china	PROPN
cana-4932	544	34	communications	communication	NOUN
cana-4932	544	35	,	,	PUNCT
cana-4932	544	36	vol	vol	NOUN
cana-4932	544	37	.	.	PROPN
cana-4932	544	38	12	12	NUM
cana-4932	544	39	,	,	PUNCT
cana-4932	544	40	no	no	INTJ
cana-4932	544	41	.	.	NOUN
cana-4932	544	42	10	10	NUM
cana-4932	544	43	,	,	PUNCT
cana-4932	544	44	pp	pp	ADJ
cana-4932	544	45	.	.	PUNCT
cana-4932	545	1	1	1	NUM
cana-4932	545	2	-	-	SYM
cana-4932	545	3	15	15	NUM
cana-4932	545	4	,	,	PUNCT
cana-4932	545	5	2015	2015	NUM
cana-4932	545	6	.	.	PUNCT
cana-4932	546	1	[	[	X
cana-4932	546	2	9	9	NUM
cana-4932	546	3	]	]	PUNCT
cana-4932	546	4	e.	e.	PROPN
cana-4932	546	5	z.	z.	PROPN
cana-4932	546	6	tragos	tragos	PROPN
cana-4932	546	7	,	,	PUNCT
cana-4932	546	8	s.	s.	PROPN
cana-4932	546	9	zeadally	zeadally	PROPN
cana-4932	546	10	,	,	PUNCT
cana-4932	546	11	a.	a.	PROPN
cana-4932	546	12	g.	g.	PROPN
cana-4932	546	13	fragkiadakis	fragkiadakis	PROPN
cana-4932	546	14	,	,	PUNCT
cana-4932	546	15	and	and	CCONJ
cana-4932	546	16	v.	v.	ADP
cana-4932	546	17	a.	a.	NOUN
cana-4932	546	18	siris	siris	PROPN
cana-4932	546	19	,	,	PUNCT
cana-4932	546	20	"	"	PUNCT
cana-4932	546	21	spectrum	spectrum	NOUN
cana-4932	546	22	assignment	assignment	NOUN
cana-4932	546	23	in	in	ADP
cana-4932	546	24	cognitive	cognitive	ADJ
cana-4932	546	25	radio	radio	NOUN
cana-4932	546	26	networks	network	NOUN
cana-4932	546	27	:	:	PUNCT
cana-4932	546	28	a	a	DET
cana-4932	546	29	comprehensive	comprehensive	ADJ
cana-4932	546	30	survey	survey	NOUN
cana-4932	546	31	,	,	PUNCT
cana-4932	546	32	"	"	PUNCT
cana-4932	546	33	ieee	ieee	NOUN
cana-4932	546	34	communications	communication	NOUN
cana-4932	546	35	surveys	survey	NOUN
cana-4932	546	36	&	&	CCONJ
cana-4932	546	37	tutorials	tutorial	NOUN
cana-4932	546	38	,	,	PUNCT
cana-4932	546	39	vol	vol	NOUN
cana-4932	546	40	.	.	PROPN
cana-4932	546	41	15	15	NUM
cana-4932	546	42	,	,	PUNCT
cana-4932	546	43	no	no	INTJ
cana-4932	546	44	.	.	NOUN
cana-4932	547	1	3	3	NUM
cana-4932	547	2	,	,	PUNCT
cana-4932	547	3	pp	pp	ADJ
cana-4932	547	4	.	.	PUNCT
cana-4932	548	1	1108	1108	NUM
cana-4932	548	2	-	-	SYM
cana-4932	548	3	1135	1135	NUM
cana-4932	548	4	,	,	PUNCT
cana-4932	548	5	2013	2013	NUM
cana-4932	548	6	.	.	PUNCT
cana-4932	549	1	[	[	X
cana-4932	549	2	10	10	NUM
cana-4932	549	3	]	]	X
cana-4932	549	4	g.	g.	PROPN
cana-4932	549	5	i.	i.	PROPN
cana-4932	549	6	tsiropoulos	tsiropoulos	PROPN
cana-4932	549	7	,	,	PUNCT
cana-4932	549	8	o.	o.	PROPN
cana-4932	549	9	a.	a.	PROPN
cana-4932	549	10	dobre	dobre	PROPN
cana-4932	549	11	,	,	PUNCT
cana-4932	549	12	m.	m.	PROPN
cana-4932	549	13	h.	h.	PROPN
cana-4932	549	14	ahmed	ahmed	PROPN
cana-4932	549	15	,	,	PUNCT
cana-4932	549	16	and	and	CCONJ
cana-4932	549	17	k.	k.	PROPN
cana-4932	549	18	e.	e.	PROPN
cana-4932	549	19	baddour	baddour	PROPN
cana-4932	549	20	,	,	PUNCT
cana-4932	549	21	"	"	PUNCT
cana-4932	549	22	radio	radio	NOUN
cana-4932	549	23	resource	resource	NOUN
cana-4932	549	24	allocation	allocation	NOUN
cana-4932	549	25	techniques	technique	NOUN
cana-4932	549	26	for	for	ADP
cana-4932	549	27	efficient	efficient	ADJ
cana-4932	549	28	spectrum	spectrum	NOUN
cana-4932	549	29	access	access	NOUN
cana-4932	549	30	in	in	ADP
cana-4932	549	31	cognitive	cognitive	ADJ
cana-4932	549	32	radio	radio	NOUN
cana-4932	549	33	networks	network	NOUN
cana-4932	549	34	,	,	PUNCT
cana-4932	549	35	"	"	PUNCT
cana-4932	549	36	ieee	ieee	NOUN
cana-4932	549	37	communications	communication	NOUN
cana-4932	549	38	surveys	survey	NOUN
cana-4932	549	39	&	&	CCONJ
cana-4932	549	40	tutorials	tutorial	NOUN
cana-4932	549	41	,	,	PUNCT
cana-4932	549	42	vol	vol	NOUN
cana-4932	549	43	.	.	PROPN
cana-4932	549	44	18	18	NUM
cana-4932	549	45	,	,	PUNCT
cana-4932	549	46	no	no	INTJ
cana-4932	549	47	.	.	NOUN
cana-4932	549	48	1	1	NUM
cana-4932	549	49	,	,	PUNCT
cana-4932	549	50	pp	pp	ADJ
cana-4932	549	51	.	.	PUNCT
cana-4932	549	52	824	824	NUM
cana-4932	549	53	-	-	SYM
cana-4932	549	54	847	847	NUM
cana-4932	549	55	,	,	PUNCT
cana-4932	549	56	2014	2014	NUM
cana-4932	549	57	.	.	PUNCT
cana-4932	550	1	[	[	X
cana-4932	550	2	11	11	NUM
cana-4932	550	3	]	]	PUNCT
cana-4932	550	4	a.	a.	NOUN
cana-4932	550	5	ahhmadfard	ahhmadfard	PROPN
cana-4932	550	6	,	,	PUNCT
cana-4932	550	7	a.	a.	NOUN
cana-4932	550	8	jamshidi	jamshidi	PROPN
cana-4932	550	9	,	,	PUNCT
cana-4932	550	10	and	and	CCONJ
cana-4932	550	11	m.	m.	PROPN
cana-4932	550	12	biguesh	biguesh	NOUN
cana-4932	550	13	,	,	PUNCT
cana-4932	550	14	"	"	PUNCT
cana-4932	550	15	capacity	capacity	NOUN
cana-4932	550	16	and	and	CCONJ
cana-4932	550	17	power	power	NOUN
cana-4932	550	18	allocation	allocation	NOUN
cana-4932	550	19	for	for	ADP
cana-4932	550	20	spectrum	spectrum	NOUN
cana-4932	550	21	sharing	sharing	NOUN
cana-4932	550	22	in	in	ADP
cana-4932	550	23	cognitive	cognitive	ADJ
cana-4932	550	24	radio	radio	NOUN
cana-4932	550	25	systems	system	NOUN
cana-4932	550	26	under	under	ADP
cana-4932	550	27	unknown	unknown	ADJ
cana-4932	550	28	channel	channel	NOUN
cana-4932	550	29	state	state	NOUN
cana-4932	550	30	information	information	NOUN
cana-4932	550	31	and	and	CCONJ
cana-4932	550	32	imperfect	imperfect	ADJ
cana-4932	550	33	spectrum	spectrum	NOUN
cana-4932	550	34	sensing	sensing	NOUN
cana-4932	550	35	,	,	PUNCT
cana-4932	550	36	"	"	PUNCT
cana-4932	550	37	iet	iet	PROPN
cana-4932	550	38	communications	communication	NOUN
cana-4932	550	39	,	,	PUNCT
cana-4932	550	40	vol	vol	NOUN
cana-4932	550	41	.	.	PROPN
cana-4932	550	42	6	6	NUM
cana-4932	550	43	,	,	PUNCT
cana-4932	550	44	no	no	INTJ
cana-4932	550	45	.	.	NOUN
cana-4932	550	46	15	15	NUM
cana-4932	550	47	,	,	PUNCT
cana-4932	550	48	pp	pp	ADJ
cana-4932	550	49	.	.	PUNCT
cana-4932	551	1	2387	2387	NUM
cana-4932	551	2	-	-	SYM
cana-4932	551	3	2394	2394	NUM
cana-4932	551	4	,	,	PUNCT
cana-4932	551	5	2012	2012	NUM
cana-4932	551	6	.	.	PUNCT
cana-4932	552	1	[	[	X
cana-4932	552	2	12	12	NUM
cana-4932	552	3	]	]	PUNCT
cana-4932	552	4	a.	a.	NOUN
cana-4932	552	5	kaushik	kaushik	PROPN
cana-4932	552	6	,	,	PUNCT
cana-4932	552	7	s.	s.	PROPN
cana-4932	552	8	k.	k.	PROPN
cana-4932	552	9	sharma	sharma	PROPN
cana-4932	552	10	,	,	PUNCT
cana-4932	552	11	s.	s.	PROPN
cana-4932	552	12	chatzinotas	chatzinotas	PROPN
cana-4932	552	13	,	,	PUNCT
cana-4932	552	14	b.	b.	PROPN
cana-4932	552	15	ottersten	ottersten	PROPN
cana-4932	552	16	,	,	PUNCT
cana-4932	552	17	and	and	CCONJ
cana-4932	552	18	f.	f.	PROPN
cana-4932	552	19	jondral	jondral	PROPN
cana-4932	552	20	,	,	PUNCT
cana-4932	552	21	"	"	PUNCT
cana-4932	552	22	estimation	estimation	NOUN
cana-4932	552	23	-	-	PUNCT
cana-4932	552	24	throughput	throughput	NOUN
cana-4932	552	25	tradeoff	tradeoff	NOUN
cana-4932	552	26	for	for	ADP
cana-4932	552	27	underlay	underlay	NOUN
cana-4932	552	28	cognitive	cognitive	ADJ
cana-4932	552	29	radio	radio	NOUN
cana-4932	552	30	systems	system	NOUN
cana-4932	552	31	,	,	PUNCT
cana-4932	552	32	"	"	PUNCT
cana-4932	552	33	in	in	ADP
cana-4932	552	34	2015	2015	NUM
cana-4932	552	35	ieee	ieee	NOUN
cana-4932	552	36	international	international	ADJ
cana-4932	552	37	conference	conference	NOUN
cana-4932	552	38	on	on	ADP
cana-4932	552	39	communications	communication	NOUN
cana-4932	552	40	(	(	PUNCT
cana-4932	552	41	icc	icc	PROPN
cana-4932	552	42	)	)	PUNCT
cana-4932	552	43	,	,	PUNCT
cana-4932	552	44	2015	2015	NUM
cana-4932	552	45	:	:	PUNCT
cana-4932	552	46	ieee	ieee	NOUN
cana-4932	552	47	,	,	PUNCT
cana-4932	552	48	pp	pp	ADJ
cana-4932	552	49	.	.	PUNCT
cana-4932	553	1	7701	7701	NUM
cana-4932	553	2	-	-	SYM
cana-4932	553	3	7706	7706	NUM
cana-4932	553	4	.	.	PUNCT
cana-4932	554	1	[	[	X
cana-4932	554	2	13	13	NUM
cana-4932	554	3	]	]	PUNCT
cana-4932	554	4	k.	k.	PROPN
cana-4932	554	5	higuchi	higuchi	PROPN
cana-4932	554	6	and	and	CCONJ
cana-4932	554	7	a.	a.	NOUN
cana-4932	554	8	benjebbour	benjebbour	PROPN
cana-4932	554	9	,	,	PUNCT
cana-4932	554	10	"	"	PUNCT
cana-4932	554	11	non	non	ADJ
cana-4932	554	12	-	-	ADJ
cana-4932	554	13	orthogonal	orthogonal	ADJ
cana-4932	554	14	multiple	multiple	ADJ
cana-4932	554	15	access	access	NOUN
cana-4932	554	16	(	(	PUNCT
cana-4932	554	17	noma	noma	PROPN
cana-4932	554	18	)	)	PUNCT
cana-4932	554	19	with	with	ADP
cana-4932	554	20	successive	successive	ADJ
cana-4932	554	21	interference	interference	NOUN
cana-4932	554	22	cancellation	cancellation	NOUN
cana-4932	554	23	for	for	ADP
cana-4932	554	24	future	future	ADJ
cana-4932	554	25	radio	radio	NOUN
cana-4932	554	26	access	access	NOUN
cana-4932	554	27	,	,	PUNCT
cana-4932	554	28	"	"	PUNCT
cana-4932	554	29	ieice	ieice	NOUN
cana-4932	554	30	transactions	transaction	NOUN
cana-4932	554	31	on	on	ADP
cana-4932	554	32	communications	communication	NOUN
cana-4932	554	33	,	,	PUNCT
cana-4932	554	34	vol	vol	NOUN
cana-4932	554	35	.	.	PROPN
cana-4932	554	36	98	98	NUM
cana-4932	554	37	,	,	PUNCT
cana-4932	554	38	no	no	INTJ
cana-4932	554	39	.	.	NOUN
cana-4932	554	40	3	3	NUM
cana-4932	554	41	,	,	PUNCT
cana-4932	554	42	pp	pp	ADJ
cana-4932	554	43	.	.	PUNCT
cana-4932	555	1	403	403	NUM
cana-4932	555	2	-	-	SYM
cana-4932	555	3	414	414	NUM
cana-4932	555	4	,	,	PUNCT
cana-4932	555	5	2015	2015	NUM
cana-4932	555	6	.	.	PUNCT
cana-4932	556	1	[	[	X
cana-4932	556	2	14	14	NUM
cana-4932	556	3	]	]	X
cana-4932	556	4	l.	l.	PROPN
cana-4932	556	5	b.	b.	PROPN
cana-4932	556	6	le	le	PROPN
cana-4932	556	7	and	and	CCONJ
cana-4932	556	8	e.	e.	PROPN
cana-4932	556	9	hossain	hossain	PROPN
cana-4932	556	10	,	,	PUNCT
cana-4932	556	11	"	"	PUNCT
cana-4932	556	12	resource	resource	NOUN
cana-4932	556	13	allocation	allocation	NOUN
cana-4932	556	14	for	for	ADP
cana-4932	556	15	spectrum	spectrum	NOUN
cana-4932	556	16	underlay	underlay	NOUN
cana-4932	556	17	in	in	ADP
cana-4932	556	18	cognitive	cognitive	ADJ
cana-4932	556	19	radio	radio	NOUN
cana-4932	556	20	networks	network	NOUN
cana-4932	556	21	,	,	PUNCT
cana-4932	556	22	"	"	PUNCT
cana-4932	556	23	ieee	ieee	NOUN
cana-4932	556	24	transactions	transaction	NOUN
cana-4932	556	25	on	on	ADP
cana-4932	556	26	wireless	wireless	ADJ
cana-4932	556	27	communications	communication	NOUN
cana-4932	556	28	,	,	PUNCT
cana-4932	556	29	vol	vol	NOUN
cana-4932	556	30	.	.	PROPN
cana-4932	556	31	7	7	NUM
cana-4932	556	32	,	,	PUNCT
cana-4932	556	33	no	no	INTJ
cana-4932	556	34	.	.	NOUN
cana-4932	556	35	12	12	NUM
cana-4932	556	36	,	,	PUNCT
cana-4932	556	37	pp	pp	ADJ
cana-4932	556	38	.	.	PUNCT
cana-4932	557	1	5306	5306	NUM
cana-4932	557	2	-	-	SYM
cana-4932	557	3	5315	5315	NUM
cana-4932	557	4	,	,	PUNCT
cana-4932	557	5	2008	2008	NUM
cana-4932	557	6	.	.	PUNCT
cana-4932	558	1	[	[	X
cana-4932	558	2	15	15	NUM
cana-4932	558	3	]	]	X
cana-4932	558	4	d.	d.	PROPN
cana-4932	558	5	cabric	cabric	PROPN
cana-4932	558	6	,	,	PUNCT
cana-4932	558	7	i.	i.	PROPN
cana-4932	558	8	d.	d.	PROPN
cana-4932	558	9	o'donnell	o'donnell	PROPN
cana-4932	558	10	,	,	PUNCT
cana-4932	558	11	m.-w	m.-w	PROPN
cana-4932	558	12	.	.	PUNCT
cana-4932	559	1	chen	chen	PROPN
cana-4932	559	2	,	,	PUNCT
cana-4932	559	3	and	and	CCONJ
cana-4932	559	4	r.	r.	PROPN
cana-4932	559	5	w.	w.	PROPN
cana-4932	559	6	brodersen	brodersen	PROPN
cana-4932	559	7	,	,	PUNCT
cana-4932	559	8	"	"	PUNCT
cana-4932	559	9	spectrum	spectrum	NOUN
cana-4932	559	10	sharing	sharing	NOUN
cana-4932	559	11	radios	radio	NOUN
cana-4932	559	12	,	,	PUNCT
cana-4932	559	13	"	"	PUNCT
cana-4932	559	14	ieee	ieee	NOUN
cana-4932	559	15	circuits	circuit	NOUN
cana-4932	559	16	and	and	CCONJ
cana-4932	559	17	systems	system	NOUN
cana-4932	559	18	magazine	magazine	NOUN
cana-4932	559	19	,	,	PUNCT
cana-4932	559	20	vol	vol	NOUN
cana-4932	559	21	.	.	PROPN
cana-4932	559	22	6	6	NUM
cana-4932	559	23	,	,	PUNCT
cana-4932	559	24	no	no	INTJ
cana-4932	559	25	.	.	NOUN
cana-4932	559	26	2	2	NUM
cana-4932	559	27	,	,	PUNCT
cana-4932	559	28	pp	pp	ADJ
cana-4932	559	29	.	.	PUNCT
cana-4932	560	1	30	30	NUM
cana-4932	560	2	-	-	SYM
cana-4932	560	3	45	45	NUM
cana-4932	560	4	,	,	PUNCT
cana-4932	560	5	2006	2006	NUM
cana-4932	560	6	.	.	PUNCT
cana-4932	561	1	[	[	X
cana-4932	561	2	16	16	NUM
cana-4932	561	3	]	]	PUNCT
cana-4932	561	4	s.	s.	PROPN
cana-4932	561	5	srinivasa	srinivasa	PROPN
cana-4932	561	6	and	and	CCONJ
cana-4932	561	7	s.	s.	PROPN
cana-4932	561	8	a.	a.	PROPN
cana-4932	561	9	jafar	jafar	PROPN
cana-4932	561	10	,	,	PUNCT
cana-4932	561	11	"	"	PUNCT
cana-4932	561	12	cognitive	cognitive	ADJ
cana-4932	561	13	radios	radio	NOUN
cana-4932	561	14	for	for	ADP
cana-4932	561	15	dynamic	dynamic	ADJ
cana-4932	561	16	spectrum	spectrum	NOUN
cana-4932	561	17	access	access	NOUN
cana-4932	561	18	-	-	PUNCT
cana-4932	561	19	the	the	DET
cana-4932	561	20	throughput	throughput	NOUN
cana-4932	561	21	potential	potential	NOUN
cana-4932	561	22	of	of	ADP
cana-4932	561	23	cognitive	cognitive	ADJ
cana-4932	561	24	radio	radio	NOUN
cana-4932	561	25	:	:	PUNCT
cana-4932	561	26	a	a	DET
cana-4932	561	27	theoretical	theoretical	ADJ
cana-4932	561	28	perspective	perspective	NOUN
cana-4932	561	29	,	,	PUNCT
cana-4932	561	30	"	"	PUNCT
cana-4932	561	31	ieee	ieee	NOUN
cana-4932	561	32	communications	communication	NOUN
cana-4932	561	33	magazine	magazine	NOUN
cana-4932	561	34	,	,	PUNCT
cana-4932	561	35	vol	vol	NOUN
cana-4932	561	36	.	.	PROPN
cana-4932	562	1	45	45	NUM
cana-4932	562	2	,	,	PUNCT
cana-4932	562	3	no	no	INTJ
cana-4932	562	4	.	.	NOUN
cana-4932	562	5	5	5	NUM
cana-4932	562	6	,	,	PUNCT
cana-4932	562	7	pp	pp	ADJ
cana-4932	562	8	.	.	PUNCT
cana-4932	563	1	73	73	NUM
cana-4932	563	2	-	-	SYM
cana-4932	563	3	79	79	NUM
cana-4932	563	4	,	,	PUNCT
cana-4932	563	5	2007	2007	NUM
cana-4932	563	6	.	.	PUNCT
cana-4932	564	1	[	[	X
cana-4932	564	2	17	17	NUM
cana-4932	564	3	]	]	PUNCT
cana-4932	564	4	m.	m.	NOUN
cana-4932	564	5	naeem	naeem	PROPN
cana-4932	564	6	,	,	PUNCT
cana-4932	564	7	a.	a.	PROPN
cana-4932	564	8	anpalagan	anpalagan	PROPN
cana-4932	564	9	,	,	PUNCT
cana-4932	564	10	m.	m.	NOUN
cana-4932	564	11	jaseemuddin	jaseemuddin	PROPN
cana-4932	564	12	,	,	PUNCT
cana-4932	564	13	and	and	CCONJ
cana-4932	564	14	d.	d.	PROPN
cana-4932	564	15	c.	c.	PROPN
cana-4932	564	16	lee	lee	PROPN
cana-4932	564	17	,	,	PUNCT
cana-4932	564	18	"	"	PUNCT
cana-4932	564	19	resource	resource	NOUN
cana-4932	564	20	allocation	allocation	NOUN
cana-4932	564	21	techniques	technique	NOUN
cana-4932	564	22	in	in	ADP
cana-4932	564	23	cooperative	cooperative	ADJ
cana-4932	564	24	cognitive	cognitive	ADJ
cana-4932	564	25	radio	radio	NOUN
cana-4932	564	26	networks	network	NOUN
cana-4932	564	27	,	,	PUNCT
cana-4932	564	28	"	"	PUNCT
cana-4932	564	29	ieee	ieee	NOUN
cana-4932	564	30	communications	communication	NOUN
cana-4932	564	31	surveys	survey	NOUN
cana-4932	564	32	&	&	CCONJ
cana-4932	564	33	tutorials	tutorial	NOUN
cana-4932	564	34	,	,	PUNCT
cana-4932	564	35	vol	vol	NOUN
cana-4932	564	36	.	.	PROPN
cana-4932	564	37	16	16	NUM
cana-4932	564	38	,	,	PUNCT
cana-4932	564	39	no	no	INTJ
cana-4932	564	40	.	.	NOUN
cana-4932	564	41	2	2	NUM
cana-4932	564	42	,	,	PUNCT
cana-4932	564	43	pp	pp	ADJ
cana-4932	564	44	.	.	PUNCT
cana-4932	565	1	729	729	NUM
cana-4932	565	2	-	-	SYM
cana-4932	565	3	744	744	NUM
cana-4932	565	4	,	,	PUNCT
cana-4932	565	5	2013	2013	NUM
cana-4932	565	6	.	.	PUNCT
cana-4932	566	1	communications	communication	NOUN
cana-4932	566	2	on	on	ADP
cana-4932	566	3	applied	apply	VERB
cana-4932	566	4	nonlinear	nonlinear	ADJ
cana-4932	566	5	analysis	analysis	NOUN
cana-4932	566	6	issn	issn	NOUN
cana-4932	566	7	:	:	PUNCT
cana-4932	566	8	1074	1074	NUM
cana-4932	566	9	-	-	PUNCT
cana-4932	566	10	133x	133x	NUM
cana-4932	566	11	vol	vol	VERB
cana-4932	566	12	32	32	NUM
cana-4932	566	13	no	no	NOUN
cana-4932	566	14	.	.	PUNCT
cana-4932	567	1	10s	10	NOUN
cana-4932	567	2	(	(	PUNCT
cana-4932	567	3	2025	2025	NUM
cana-4932	567	4	)	)	PUNCT
cana-4932	567	5	1006	1006	NUM
cana-4932	567	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	568	1	[	[	X
cana-4932	568	2	18	18	NUM
cana-4932	568	3	]	]	PUNCT
cana-4932	568	4	h.	h.	PROPN
cana-4932	568	5	s.	s.	PROPN
cana-4932	568	6	shahraki	shahraki	PROPN
cana-4932	568	7	,	,	PUNCT
cana-4932	568	8	k.	k.	PROPN
cana-4932	568	9	mohamed	mohamed	PROPN
cana-4932	568	10	-	-	PUNCT
cana-4932	568	11	pour	pour	NOUN
cana-4932	568	12	,	,	PUNCT
cana-4932	568	13	and	and	CCONJ
cana-4932	568	14	l.	l.	PROPN
cana-4932	568	15	vangelista	vangelista	PROPN
cana-4932	568	16	,	,	PUNCT
cana-4932	568	17	"	"	PUNCT
cana-4932	568	18	efficient	efficient	ADJ
cana-4932	568	19	resource	resource	NOUN
cana-4932	568	20	allocation	allocation	NOUN
cana-4932	568	21	for	for	ADP
cana-4932	568	22	mimoofdma	mimoofdma	NOUN
cana-4932	568	23	based	base	VERB
cana-4932	568	24	cognitive	cognitive	ADJ
cana-4932	568	25	radio	radio	NOUN
cana-4932	568	26	networks	network	NOUN
cana-4932	568	27	,	,	PUNCT
cana-4932	568	28	"	"	PUNCT
cana-4932	568	29	in	in	ADP
cana-4932	568	30	2011	2011	NUM
cana-4932	568	31	wireless	wireless	ADJ
cana-4932	568	32	telecommunications	telecommunication	NOUN
cana-4932	568	33	symposium	symposium	NOUN
cana-4932	568	34	(	(	PUNCT
cana-4932	568	35	wts	wts	PROPN
cana-4932	568	36	)	)	PUNCT
cana-4932	568	37	,	,	PUNCT
cana-4932	568	38	2011	2011	NUM
cana-4932	568	39	:	:	PUNCT
cana-4932	568	40	ieee	ieee	NOUN
cana-4932	568	41	,	,	PUNCT
cana-4932	568	42	pp	pp	ADJ
cana-4932	568	43	.	.	PUNCT
cana-4932	569	1	1	1	NUM
cana-4932	569	2	-	-	SYM
cana-4932	569	3	6	6	NUM
cana-4932	569	4	.	.	PUNCT
cana-4932	570	1	[	[	X
cana-4932	570	2	19	19	NUM
cana-4932	570	3	]	]	PUNCT
cana-4932	570	4	x.	x.	NOUN
cana-4932	570	5	liu	liu	PROPN
cana-4932	570	6	,	,	PUNCT
cana-4932	570	7	y.	y.	PROPN
cana-4932	570	8	liu	liu	PROPN
cana-4932	570	9	,	,	PUNCT
cana-4932	570	10	x.	x.	PROPN
cana-4932	570	11	wang	wang	PROPN
cana-4932	570	12	,	,	PUNCT
cana-4932	570	13	and	and	CCONJ
cana-4932	570	14	h.	h.	PROPN
cana-4932	570	15	lin	lin	PROPN
cana-4932	570	16	,	,	PUNCT
cana-4932	570	17	"	"	PUNCT
cana-4932	570	18	highly	highly	ADV
cana-4932	570	19	efficient	efficient	ADJ
cana-4932	570	20	3	3	NUM
cana-4932	570	21	-	-	PUNCT
cana-4932	570	22	d	d	NOUN
cana-4932	570	23	resource	resource	NOUN
cana-4932	570	24	allocation	allocation	NOUN
cana-4932	570	25	techniques	technique	NOUN
cana-4932	570	26	in	in	ADP
cana-4932	570	27	5	5	NUM
cana-4932	570	28	g	g	NOUN
cana-4932	570	29	for	for	ADP
cana-4932	570	30	noma	noma	NOUN
cana-4932	570	31	-	-	PUNCT
cana-4932	570	32	enabled	enable	VERB
cana-4932	570	33	massive	massive	ADJ
cana-4932	570	34	mimo	mimo	NOUN
cana-4932	570	35	and	and	CCONJ
cana-4932	570	36	relaying	relaying	NOUN
cana-4932	570	37	systems	system	NOUN
cana-4932	570	38	,	,	PUNCT
cana-4932	570	39	"	"	PUNCT
cana-4932	570	40	ieee	ieee	NOUN
cana-4932	570	41	journal	journal	NOUN
cana-4932	570	42	on	on	ADP
cana-4932	570	43	selected	select	VERB
cana-4932	570	44	areas	area	NOUN
cana-4932	570	45	in	in	ADP
cana-4932	570	46	communications	communication	NOUN
cana-4932	570	47	,	,	PUNCT
cana-4932	570	48	vol	vol	NOUN
cana-4932	570	49	.	.	PROPN
cana-4932	570	50	35	35	NUM
cana-4932	570	51	,	,	PUNCT
cana-4932	570	52	no	no	INTJ
cana-4932	570	53	.	.	NOUN
cana-4932	570	54	12	12	NUM
cana-4932	570	55	,	,	PUNCT
cana-4932	570	56	pp	pp	ADJ
cana-4932	570	57	.	.	PUNCT
cana-4932	570	58	2785	2785	NUM
cana-4932	570	59	-	-	SYM
cana-4932	570	60	2797	2797	NUM
cana-4932	570	61	,	,	PUNCT
cana-4932	570	62	2017	2017	NUM
cana-4932	570	63	.	.	PUNCT
cana-4932	571	1	[	[	X
cana-4932	571	2	20	20	NUM
cana-4932	571	3	]	]	X
cana-4932	571	4	y.	y.	PROPN
cana-4932	571	5	chen	chen	PROPN
cana-4932	571	6	et	et	PROPN
cana-4932	571	7	al	al	PROPN
cana-4932	571	8	.	.	PROPN
cana-4932	571	9	,	,	PUNCT
cana-4932	571	10	"	"	PUNCT
cana-4932	571	11	toward	toward	ADP
cana-4932	571	12	the	the	DET
cana-4932	571	13	standardization	standardization	NOUN
cana-4932	571	14	of	of	ADP
cana-4932	571	15	non	non	ADJ
cana-4932	571	16	-	-	ADJ
cana-4932	571	17	orthogonal	orthogonal	ADJ
cana-4932	571	18	multiple	multiple	ADJ
cana-4932	571	19	access	access	NOUN
cana-4932	571	20	for	for	ADP
cana-4932	571	21	next	next	ADJ
cana-4932	571	22	generation	generation	NOUN
cana-4932	571	23	wireless	wireless	NOUN
cana-4932	571	24	networks	network	NOUN
cana-4932	571	25	,	,	PUNCT
cana-4932	571	26	"	"	PUNCT
cana-4932	571	27	ieee	ieee	NOUN
cana-4932	571	28	communications	communication	NOUN
cana-4932	571	29	magazine	magazine	NOUN
cana-4932	571	30	,	,	PUNCT
cana-4932	571	31	vol	vol	NOUN
cana-4932	571	32	.	.	PROPN
cana-4932	572	1	56	56	NUM
cana-4932	572	2	,	,	PUNCT
cana-4932	572	3	no	no	INTJ
cana-4932	572	4	.	.	NOUN
cana-4932	572	5	3	3	NUM
cana-4932	572	6	,	,	PUNCT
cana-4932	572	7	pp	pp	ADJ
cana-4932	572	8	.	.	PUNCT
cana-4932	573	1	19	19	NUM
cana-4932	573	2	-	-	SYM
cana-4932	573	3	27	27	NUM
cana-4932	573	4	,	,	PUNCT
cana-4932	573	5	2018	2018	NUM
cana-4932	573	6	.	.	PUNCT
cana-4932	574	1	[	[	X
cana-4932	574	2	21	21	NUM
cana-4932	574	3	]	]	PUNCT
cana-4932	574	4	m.	m.	NOUN
cana-4932	574	5	mohammadi	mohammadi	NOUN
cana-4932	574	6	et	et	PROPN
cana-4932	574	7	al	al	PROPN
cana-4932	574	8	.	.	PROPN
cana-4932	574	9	,	,	PUNCT
cana-4932	574	10	"	"	PUNCT
cana-4932	574	11	full	full	ADJ
cana-4932	574	12	-	-	PUNCT
cana-4932	574	13	duplex	duplex	NOUN
cana-4932	574	14	non	non	ADJ
cana-4932	574	15	-	-	ADJ
cana-4932	574	16	orthogonal	orthogonal	ADJ
cana-4932	574	17	multiple	multiple	ADJ
cana-4932	574	18	access	access	NOUN
cana-4932	574	19	for	for	ADP
cana-4932	574	20	next	next	ADJ
cana-4932	574	21	generation	generation	NOUN
cana-4932	574	22	wireless	wireless	NOUN
cana-4932	574	23	systems	system	NOUN
cana-4932	574	24	,	,	PUNCT
cana-4932	574	25	"	"	PUNCT
cana-4932	574	26	ieee	ieee	NOUN
cana-4932	574	27	communications	communication	NOUN
cana-4932	574	28	magazine	magazine	NOUN
cana-4932	574	29	,	,	PUNCT
cana-4932	574	30	vol	vol	NOUN
cana-4932	574	31	.	.	PROPN
cana-4932	574	32	57	57	NUM
cana-4932	574	33	,	,	PUNCT
cana-4932	574	34	no	no	INTJ
cana-4932	574	35	.	.	NOUN
cana-4932	574	36	5	5	NUM
cana-4932	574	37	,	,	PUNCT
cana-4932	574	38	pp	pp	ADJ
cana-4932	574	39	.	.	PUNCT
cana-4932	575	1	110	110	NUM
cana-4932	575	2	-	-	SYM
cana-4932	575	3	116	116	NUM
cana-4932	575	4	,	,	PUNCT
cana-4932	575	5	2019	2019	NUM
cana-4932	575	6	.	.	PUNCT
cana-4932	576	1	[	[	X
cana-4932	576	2	22	22	NUM
cana-4932	576	3	]	]	PUNCT
cana-4932	576	4	l.	l.	PROPN
cana-4932	576	5	dai	dai	PROPN
cana-4932	576	6	,	,	PUNCT
cana-4932	576	7	b.	b.	PROPN
cana-4932	576	8	wang	wang	PROPN
cana-4932	576	9	,	,	PUNCT
cana-4932	576	10	y.	y.	PROPN
cana-4932	576	11	yuan	yuan	PROPN
cana-4932	576	12	,	,	PUNCT
cana-4932	576	13	s.	s.	PROPN
cana-4932	576	14	han	han	PROPN
cana-4932	576	15	,	,	PUNCT
cana-4932	576	16	i.	i.	PROPN
cana-4932	576	17	chih	chih	PROPN
cana-4932	576	18	-	-	PUNCT
cana-4932	576	19	lin	lin	PROPN
cana-4932	576	20	,	,	PUNCT
cana-4932	576	21	and	and	CCONJ
cana-4932	576	22	z.	z.	PROPN
cana-4932	576	23	wang	wang	PROPN
cana-4932	576	24	,	,	PUNCT
cana-4932	576	25	"	"	PUNCT
cana-4932	576	26	non	non	ADJ
cana-4932	576	27	-	-	ADJ
cana-4932	576	28	orthogonal	orthogonal	ADJ
cana-4932	576	29	multiple	multiple	ADJ
cana-4932	576	30	access	access	NOUN
cana-4932	576	31	for	for	ADP
cana-4932	576	32	5	5	NUM
cana-4932	576	33	g	g	NOUN
cana-4932	576	34	:	:	PUNCT
cana-4932	576	35	solutions	solution	NOUN
cana-4932	576	36	,	,	PUNCT
cana-4932	576	37	challenges	challenge	NOUN
cana-4932	576	38	,	,	PUNCT
cana-4932	576	39	opportunities	opportunity	NOUN
cana-4932	576	40	,	,	PUNCT
cana-4932	576	41	and	and	CCONJ
cana-4932	576	42	future	future	ADJ
cana-4932	576	43	research	research	NOUN
cana-4932	576	44	trends	trend	NOUN
cana-4932	576	45	,	,	PUNCT
cana-4932	576	46	"	"	PUNCT
cana-4932	576	47	ieee	ieee	NOUN
cana-4932	576	48	communications	communication	NOUN
cana-4932	576	49	magazine	magazine	NOUN
cana-4932	576	50	,	,	PUNCT
cana-4932	576	51	vol	vol	NOUN
cana-4932	576	52	.	.	PROPN
cana-4932	576	53	53	53	NUM
cana-4932	576	54	,	,	PUNCT
cana-4932	576	55	no	no	INTJ
cana-4932	576	56	.	.	NOUN
cana-4932	576	57	9	9	NUM
cana-4932	576	58	,	,	PUNCT
cana-4932	576	59	pp	pp	ADJ
cana-4932	576	60	.	.	PUNCT
cana-4932	577	1	74	74	NUM
cana-4932	577	2	-	-	SYM
cana-4932	577	3	81	81	NUM
cana-4932	577	4	,	,	PUNCT
cana-4932	577	5	2015	2015	NUM
cana-4932	577	6	.	.	PUNCT
cana-4932	578	1	[	[	X
cana-4932	578	2	23	23	NUM
cana-4932	578	3	]	]	X
cana-4932	578	4	s.	s.	PROPN
cana-4932	578	5	r.	r.	PROPN
cana-4932	578	6	islam	islam	PROPN
cana-4932	578	7	,	,	PUNCT
cana-4932	578	8	n.	n.	PROPN
cana-4932	578	9	avazov	avazov	PROPN
cana-4932	578	10	,	,	PUNCT
cana-4932	578	11	o.	o.	PROPN
cana-4932	578	12	a.	a.	PROPN
cana-4932	578	13	dobre	dobre	PROPN
cana-4932	578	14	,	,	PUNCT
cana-4932	578	15	and	and	CCONJ
cana-4932	578	16	k.-s	k.-s	PROPN
cana-4932	578	17	.	.	PUNCT
cana-4932	579	1	kwak	kwak	PROPN
cana-4932	579	2	,	,	PUNCT
cana-4932	579	3	"	"	PUNCT
cana-4932	579	4	power	power	NOUN
cana-4932	579	5	-	-	PUNCT
cana-4932	579	6	domain	domain	NOUN
cana-4932	579	7	non	non	ADJ
cana-4932	579	8	-	-	ADJ
cana-4932	579	9	orthogonal	orthogonal	ADJ
cana-4932	579	10	multiple	multiple	ADJ
cana-4932	579	11	access	access	NOUN
cana-4932	579	12	(	(	PUNCT
cana-4932	579	13	noma	noma	PROPN
cana-4932	579	14	)	)	PUNCT
cana-4932	579	15	in	in	ADP
cana-4932	579	16	5	5	NUM
cana-4932	579	17	g	g	NOUN
cana-4932	579	18	systems	system	NOUN
cana-4932	579	19	:	:	PUNCT
cana-4932	579	20	potentials	potential	NOUN
cana-4932	579	21	and	and	CCONJ
cana-4932	579	22	challenges	challenge	NOUN
cana-4932	579	23	,	,	PUNCT
cana-4932	579	24	"	"	PUNCT
cana-4932	579	25	ieee	ieee	NOUN
cana-4932	579	26	communications	communication	NOUN
cana-4932	579	27	surveys	survey	NOUN
cana-4932	579	28	&	&	CCONJ
cana-4932	579	29	tutorials	tutorial	NOUN
cana-4932	579	30	,	,	PUNCT
cana-4932	579	31	vol	vol	NOUN
cana-4932	579	32	.	.	PROPN
cana-4932	579	33	19	19	NUM
cana-4932	579	34	,	,	PUNCT
cana-4932	579	35	no	no	INTJ
cana-4932	579	36	.	.	NOUN
cana-4932	579	37	2	2	NUM
cana-4932	579	38	,	,	PUNCT
cana-4932	579	39	pp	pp	ADJ
cana-4932	579	40	.	.	PUNCT
cana-4932	580	1	721	721	NUM
cana-4932	580	2	-	-	SYM
cana-4932	580	3	742	742	NUM
cana-4932	580	4	,	,	PUNCT
cana-4932	580	5	2016	2016	NUM
cana-4932	580	6	.	.	PUNCT
cana-4932	581	1	[	[	X
cana-4932	581	2	24	24	NUM
cana-4932	581	3	]	]	X
cana-4932	581	4	o.	o.	PROPN
cana-4932	581	5	maraqa	maraqa	PROPN
cana-4932	581	6	,	,	PUNCT
cana-4932	581	7	a.	a.	PROPN
cana-4932	581	8	s.	s.	PROPN
cana-4932	581	9	rajasekaran	rajasekaran	PROPN
cana-4932	581	10	,	,	PUNCT
cana-4932	581	11	s.	s.	PROPN
cana-4932	581	12	al	al	PROPN
cana-4932	581	13	-	-	PUNCT
cana-4932	581	14	ahmadi	ahmadi	PROPN
cana-4932	581	15	,	,	PUNCT
cana-4932	581	16	h.	h.	PROPN
cana-4932	581	17	yanikomeroglu	yanikomeroglu	PROPN
cana-4932	581	18	,	,	PUNCT
cana-4932	581	19	and	and	CCONJ
cana-4932	581	20	s.	s.	PROPN
cana-4932	581	21	m.	m.	PROPN
cana-4932	581	22	sait	sait	PROPN
cana-4932	581	23	,	,	PUNCT
cana-4932	581	24	"	"	PUNCT
cana-4932	581	25	a	a	DET
cana-4932	581	26	survey	survey	NOUN
cana-4932	581	27	of	of	ADP
cana-4932	581	28	rate	rate	NOUN
cana-4932	581	29	-	-	PUNCT
cana-4932	581	30	optimal	optimal	ADJ
cana-4932	581	31	power	power	NOUN
cana-4932	581	32	domain	domain	NOUN
cana-4932	581	33	noma	noma	NOUN
cana-4932	581	34	with	with	ADP
cana-4932	581	35	enabling	enable	VERB
cana-4932	581	36	technologies	technology	NOUN
cana-4932	581	37	of	of	ADP
cana-4932	581	38	future	future	ADJ
cana-4932	581	39	wireless	wireless	ADJ
cana-4932	581	40	networks	network	NOUN
cana-4932	581	41	,	,	PUNCT
cana-4932	581	42	"	"	PUNCT
cana-4932	581	43	ieee	ieee	NOUN
cana-4932	581	44	communications	communication	NOUN
cana-4932	581	45	surveys	survey	NOUN
cana-4932	581	46	&	&	CCONJ
cana-4932	581	47	tutorials	tutorial	NOUN
cana-4932	581	48	,	,	PUNCT
cana-4932	581	49	vol	vol	NOUN
cana-4932	581	50	.	.	PROPN
cana-4932	581	51	22	22	NUM
cana-4932	581	52	,	,	PUNCT
cana-4932	581	53	no	no	INTJ
cana-4932	581	54	.	.	NOUN
cana-4932	581	55	4	4	NUM
cana-4932	581	56	,	,	PUNCT
cana-4932	581	57	pp	pp	ADJ
cana-4932	581	58	.	.	PUNCT
cana-4932	581	59	2192	2192	NUM
cana-4932	581	60	-	-	SYM
cana-4932	581	61	2235	2235	NUM
cana-4932	581	62	,	,	PUNCT
cana-4932	581	63	2020	2020	NUM
cana-4932	581	64	.	.	PUNCT
cana-4932	582	1	[	[	X
cana-4932	582	2	25	25	NUM
cana-4932	582	3	]	]	X
cana-4932	582	4	n.	n.	NOUN
cana-4932	582	5	glei	glei	PROPN
cana-4932	582	6	and	and	CCONJ
cana-4932	582	7	r.	r.	PROPN
cana-4932	582	8	b.	b.	PROPN
cana-4932	582	9	chibani	chibani	PROPN
cana-4932	582	10	,	,	PUNCT
cana-4932	582	11	"	"	PUNCT
cana-4932	582	12	power	power	NOUN
cana-4932	582	13	allocation	allocation	NOUN
cana-4932	582	14	for	for	ADP
cana-4932	582	15	energy	energy	NOUN
cana-4932	582	16	-	-	PUNCT
cana-4932	582	17	efficient	efficient	ADJ
cana-4932	582	18	downlink	downlink	NOUN
cana-4932	582	19	noma	noma	PROPN
cana-4932	582	20	systems	system	NOUN
cana-4932	582	21	,	,	PUNCT
cana-4932	582	22	"	"	PUNCT
cana-4932	582	23	in	in	ADP
cana-4932	582	24	2019	2019	NUM
cana-4932	582	25	19th	19th	ADJ
cana-4932	582	26	international	international	ADJ
cana-4932	582	27	conference	conference	NOUN
cana-4932	582	28	on	on	ADP
cana-4932	582	29	sciences	science	NOUN
cana-4932	582	30	and	and	CCONJ
cana-4932	582	31	techniques	technique	NOUN
cana-4932	582	32	of	of	ADP
cana-4932	582	33	automatic	automatic	ADJ
cana-4932	582	34	control	control	NOUN
cana-4932	582	35	and	and	CCONJ
cana-4932	582	36	computer	computer	NOUN
cana-4932	582	37	engineering	engineering	NOUN
cana-4932	582	38	(	(	PUNCT
cana-4932	582	39	sta	sta	NOUN
cana-4932	582	40	)	)	PUNCT
cana-4932	582	41	,	,	PUNCT
cana-4932	582	42	2019	2019	NUM
cana-4932	582	43	:	:	PUNCT
cana-4932	582	44	ieee	ieee	NOUN
cana-4932	582	45	,	,	PUNCT
cana-4932	582	46	pp	pp	ADJ
cana-4932	582	47	.	.	PUNCT
cana-4932	583	1	611	611	NUM
cana-4932	583	2	-	-	SYM
cana-4932	583	3	613	613	NUM
cana-4932	583	4	.	.	PUNCT
cana-4932	584	1	[	[	X
cana-4932	584	2	26	26	NUM
cana-4932	584	3	]	]	PUNCT
cana-4932	584	4	z.	z.	PROPN
cana-4932	584	5	ding	ding	PROPN
cana-4932	584	6	et	et	PROPN
cana-4932	584	7	al	al	PROPN
cana-4932	584	8	.	.	PROPN
cana-4932	584	9	,	,	PUNCT
cana-4932	584	10	"	"	PUNCT
cana-4932	584	11	application	application	NOUN
cana-4932	584	12	of	of	ADP
cana-4932	584	13	non	non	ADJ
cana-4932	584	14	-	-	ADJ
cana-4932	584	15	orthogonal	orthogonal	ADJ
cana-4932	584	16	multiple	multiple	ADJ
cana-4932	584	17	access	access	NOUN
cana-4932	584	18	in	in	ADP
cana-4932	584	19	lte	lte	PROPN
cana-4932	584	20	and	and	CCONJ
cana-4932	584	21	5	5	NUM
cana-4932	584	22	g	g	NOUN
cana-4932	584	23	networks	network	NOUN
cana-4932	584	24	,	,	PUNCT
cana-4932	584	25	"	"	PUNCT
cana-4932	584	26	ieee	ieee	NOUN
cana-4932	584	27	communications	communication	NOUN
cana-4932	584	28	magazine	magazine	NOUN
cana-4932	584	29	,	,	PUNCT
cana-4932	584	30	vol	vol	NOUN
cana-4932	584	31	.	.	PROPN
cana-4932	585	1	55	55	NUM
cana-4932	585	2	,	,	PUNCT
cana-4932	585	3	no	no	INTJ
cana-4932	585	4	.	.	NOUN
cana-4932	585	5	2	2	NUM
cana-4932	585	6	,	,	PUNCT
cana-4932	585	7	pp	pp	ADJ
cana-4932	585	8	.	.	PUNCT
cana-4932	586	1	185	185	NUM
cana-4932	586	2	-	-	SYM
cana-4932	586	3	191	191	NUM
cana-4932	586	4	,	,	PUNCT
cana-4932	586	5	2017	2017	NUM
cana-4932	586	6	.	.	PUNCT
cana-4932	587	1	[	[	X
cana-4932	587	2	27	27	NUM
cana-4932	587	3	]	]	X
cana-4932	587	4	s.	s.	PROPN
cana-4932	587	5	islam	islam	PROPN
cana-4932	587	6	,	,	PUNCT
cana-4932	587	7	m.	m.	PROPN
cana-4932	587	8	zeng	zeng	PROPN
cana-4932	587	9	,	,	PUNCT
cana-4932	587	10	and	and	CCONJ
cana-4932	587	11	o.	o.	PROPN
cana-4932	587	12	a.	a.	PROPN
cana-4932	587	13	dobre	dobre	PROPN
cana-4932	587	14	,	,	PUNCT
cana-4932	587	15	"	"	PUNCT
cana-4932	587	16	noma	noma	PROPN
cana-4932	587	17	in	in	ADP
cana-4932	587	18	5	5	NUM
cana-4932	587	19	g	g	NOUN
cana-4932	587	20	systems	system	NOUN
cana-4932	587	21	:	:	PUNCT
cana-4932	587	22	exciting	exciting	ADJ
cana-4932	587	23	possibilities	possibility	NOUN
cana-4932	587	24	for	for	ADP
cana-4932	587	25	enhancing	enhance	VERB
cana-4932	587	26	spectral	spectral	ADJ
cana-4932	587	27	efficiency	efficiency	NOUN
cana-4932	587	28	,	,	PUNCT
cana-4932	587	29	"	"	PUNCT
cana-4932	587	30	arxiv	arxiv	PROPN
cana-4932	587	31	preprint	preprint	NOUN
cana-4932	587	32	arxiv:1706.08215	arxiv:1706.08215	VERB
cana-4932	587	33	,	,	PUNCT
cana-4932	587	34	2017	2017	NUM
cana-4932	587	35	.	.	PUNCT
cana-4932	588	1	[	[	X
cana-4932	588	2	28	28	NUM
cana-4932	588	3	]	]	PUNCT
cana-4932	588	4	z.	z.	PROPN
cana-4932	588	5	q.	q.	PROPN
cana-4932	588	6	al	al	PROPN
cana-4932	588	7	-	-	PUNCT
cana-4932	588	8	abbasi	abbasi	PROPN
cana-4932	588	9	and	and	CCONJ
cana-4932	588	10	d.	d.	PROPN
cana-4932	588	11	k.	k.	PROPN
cana-4932	589	1	so	so	ADV
cana-4932	589	2	,	,	PUNCT
cana-4932	589	3	"	"	PUNCT
cana-4932	589	4	power	power	NOUN
cana-4932	589	5	allocation	allocation	NOUN
cana-4932	589	6	for	for	ADP
cana-4932	589	7	sum	sum	NOUN
cana-4932	589	8	rate	rate	NOUN
cana-4932	589	9	maximization	maximization	NOUN
cana-4932	589	10	in	in	ADP
cana-4932	589	11	non	non	ADJ
cana-4932	589	12	-	-	ADJ
cana-4932	589	13	orthogonal	orthogonal	ADJ
cana-4932	589	14	multiple	multiple	ADJ
cana-4932	589	15	access	access	NOUN
cana-4932	589	16	system	system	NOUN
cana-4932	589	17	,	,	PUNCT
cana-4932	589	18	"	"	PUNCT
cana-4932	589	19	in	in	ADP
cana-4932	589	20	2015	2015	NUM
cana-4932	589	21	ieee	ieee	NOUN
cana-4932	589	22	26th	26th	NOUN
cana-4932	589	23	annual	annual	ADJ
cana-4932	589	24	international	international	ADJ
cana-4932	589	25	symposium	symposium	NOUN
cana-4932	589	26	on	on	ADP
cana-4932	589	27	personal	personal	ADJ
cana-4932	589	28	,	,	PUNCT
cana-4932	589	29	indoor	indoor	ADJ
cana-4932	589	30	,	,	PUNCT
cana-4932	589	31	and	and	CCONJ
cana-4932	589	32	mobile	mobile	ADJ
cana-4932	589	33	radio	radio	NOUN
cana-4932	589	34	communications	communication	NOUN
cana-4932	589	35	(	(	PUNCT
cana-4932	589	36	pimrc	pimrc	NOUN
cana-4932	589	37	)	)	PUNCT
cana-4932	589	38	,	,	PUNCT
cana-4932	589	39	2015	2015	NUM
cana-4932	589	40	:	:	PUNCT
cana-4932	589	41	ieee	ieee	NOUN
cana-4932	589	42	,	,	PUNCT
cana-4932	589	43	pp	pp	ADP
cana-4932	589	44	.	.	PUNCT
cana-4932	590	1	1649	1649	NUM
cana-4932	590	2	-	-	SYM
cana-4932	590	3	1653	1653	NUM
cana-4932	590	4	.	.	PUNCT
cana-4932	591	1	[	[	X
cana-4932	591	2	29	29	NUM
cana-4932	591	3	]	]	PUNCT
cana-4932	591	4	t.	t.	PROPN
cana-4932	591	5	l.	l.	PROPN
cana-4932	591	6	marzetta	marzetta	PROPN
cana-4932	591	7	and	and	CCONJ
cana-4932	591	8	h.	h.	PROPN
cana-4932	591	9	q.	q.	PROPN
cana-4932	591	10	ngo	ngo	PROPN
cana-4932	591	11	,	,	PUNCT
cana-4932	591	12	fundamentals	fundamental	NOUN
cana-4932	591	13	of	of	ADP
cana-4932	591	14	massive	massive	ADJ
cana-4932	591	15	mimo	mimo	PROPN
cana-4932	591	16	.	.	PUNCT
cana-4932	592	1	cambridge	cambridge	PROPN
cana-4932	592	2	university	university	PROPN
cana-4932	592	3	press	press	NOUN
cana-4932	592	4	,	,	PUNCT
cana-4932	592	5	2016	2016	NUM
cana-4932	592	6	.	.	PUNCT
cana-4932	593	1	[	[	X
cana-4932	593	2	30	30	NUM
cana-4932	593	3	]	]	X
cana-4932	593	4	v.	v.	CCONJ
cana-4932	593	5	tarokh	tarokh	VERB
cana-4932	593	6	,	,	PUNCT
cana-4932	593	7	n.	n.	PROPN
cana-4932	593	8	seshadri	seshadri	NOUN
cana-4932	593	9	,	,	PUNCT
cana-4932	593	10	and	and	CCONJ
cana-4932	593	11	a.	a.	PROPN
cana-4932	593	12	r.	r.	PROPN
cana-4932	593	13	calderbank	calderbank	PROPN
cana-4932	593	14	,	,	PUNCT
cana-4932	593	15	"	"	PUNCT
cana-4932	593	16	space	space	NOUN
cana-4932	593	17	-	-	PUNCT
cana-4932	593	18	time	time	NOUN
cana-4932	593	19	codes	code	NOUN
cana-4932	593	20	for	for	ADP
cana-4932	593	21	high	high	ADJ
cana-4932	593	22	data	datum	NOUN
cana-4932	593	23	rate	rate	NOUN
cana-4932	593	24	wireless	wireless	ADJ
cana-4932	593	25	communication	communication	NOUN
cana-4932	593	26	:	:	PUNCT
cana-4932	593	27	performance	performance	NOUN
cana-4932	593	28	criterion	criterion	NOUN
cana-4932	593	29	and	and	CCONJ
cana-4932	593	30	code	code	NOUN
cana-4932	593	31	construction	construction	NOUN
cana-4932	593	32	,	,	PUNCT
cana-4932	593	33	"	"	PUNCT
cana-4932	593	34	ieee	ieee	NOUN
cana-4932	593	35	transactions	transaction	NOUN
cana-4932	593	36	on	on	ADP
cana-4932	593	37	information	information	NOUN
cana-4932	593	38	theory	theory	NOUN
cana-4932	593	39	,	,	PUNCT
cana-4932	593	40	vol	vol	NOUN
cana-4932	593	41	.	.	PROPN
cana-4932	593	42	44	44	NUM
cana-4932	593	43	,	,	PUNCT
cana-4932	593	44	no	no	INTJ
cana-4932	593	45	.	.	NOUN
cana-4932	593	46	2	2	NUM
cana-4932	593	47	,	,	PUNCT
cana-4932	593	48	pp	pp	ADJ
cana-4932	593	49	.	.	PUNCT
cana-4932	594	1	744	744	NUM
cana-4932	594	2	-	-	SYM
cana-4932	594	3	765	765	NUM
cana-4932	594	4	,	,	PUNCT
cana-4932	594	5	1998	1998	NUM
cana-4932	594	6	.	.	PUNCT
cana-4932	595	1	[	[	X
cana-4932	595	2	31	31	NUM
cana-4932	595	3	]	]	PUNCT
cana-4932	595	4	z.	z.	PROPN
cana-4932	595	5	ding	ding	PROPN
cana-4932	595	6	,	,	PUNCT
cana-4932	595	7	f.	f.	PROPN
cana-4932	595	8	adachi	adachi	PROPN
cana-4932	595	9	,	,	PUNCT
cana-4932	595	10	and	and	CCONJ
cana-4932	595	11	h.	h.	PROPN
cana-4932	595	12	v.	v.	PROPN
cana-4932	595	13	poor	poor	ADJ
cana-4932	595	14	,	,	PUNCT
cana-4932	595	15	"	"	PUNCT
cana-4932	595	16	the	the	DET
cana-4932	595	17	application	application	NOUN
cana-4932	595	18	of	of	ADP
cana-4932	595	19	mimo	mimo	PROPN
cana-4932	595	20	to	to	ADP
cana-4932	595	21	non	non	ADJ
cana-4932	595	22	-	-	ADJ
cana-4932	595	23	orthogonal	orthogonal	ADJ
cana-4932	595	24	multiple	multiple	ADJ
cana-4932	595	25	access	access	NOUN
cana-4932	595	26	,	,	PUNCT
cana-4932	595	27	"	"	PUNCT
cana-4932	595	28	ieee	ieee	NOUN
cana-4932	595	29	transactions	transaction	NOUN
cana-4932	595	30	on	on	ADP
cana-4932	595	31	wireless	wireless	ADJ
cana-4932	595	32	communications	communication	NOUN
cana-4932	595	33	,	,	PUNCT
cana-4932	595	34	vol	vol	NOUN
cana-4932	595	35	.	.	PROPN
cana-4932	595	36	15	15	NUM
cana-4932	595	37	,	,	PUNCT
cana-4932	595	38	no	no	INTJ
cana-4932	595	39	.	.	NOUN
cana-4932	595	40	1	1	NUM
cana-4932	595	41	,	,	PUNCT
cana-4932	595	42	pp	pp	ADJ
cana-4932	595	43	.	.	PUNCT
cana-4932	596	1	537	537	NUM
cana-4932	596	2	-	-	SYM
cana-4932	596	3	552	552	NUM
cana-4932	596	4	,	,	PUNCT
cana-4932	596	5	2015	2015	NUM
cana-4932	596	6	.	.	PUNCT
cana-4932	597	1	communications	communication	NOUN
cana-4932	597	2	on	on	ADP
cana-4932	597	3	applied	apply	VERB
cana-4932	597	4	nonlinear	nonlinear	ADJ
cana-4932	597	5	analysis	analysis	NOUN
cana-4932	597	6	issn	issn	NOUN
cana-4932	597	7	:	:	PUNCT
cana-4932	597	8	1074	1074	NUM
cana-4932	597	9	-	-	PUNCT
cana-4932	597	10	133x	133x	NUM
cana-4932	597	11	vol	vol	VERB
cana-4932	597	12	32	32	NUM
cana-4932	597	13	no	no	NOUN
cana-4932	597	14	.	.	PUNCT
cana-4932	598	1	10s	10	NOUN
cana-4932	598	2	(	(	PUNCT
cana-4932	598	3	2025	2025	NUM
cana-4932	598	4	)	)	PUNCT
cana-4932	598	5	1007	1007	NUM
cana-4932	598	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	599	1	[	[	X
cana-4932	599	2	32	32	NUM
cana-4932	599	3	]	]	PUNCT
cana-4932	599	4	x.	x.	PROPN
cana-4932	599	5	li	li	PROPN
cana-4932	599	6	,	,	PUNCT
cana-4932	599	7	j.	j.	PROPN
cana-4932	599	8	li	li	PROPN
cana-4932	599	9	,	,	PUNCT
cana-4932	599	10	y.	y.	PROPN
cana-4932	599	11	liu	liu	PROPN
cana-4932	599	12	,	,	PUNCT
cana-4932	599	13	z.	z.	PROPN
cana-4932	599	14	ding	ding	PROPN
cana-4932	599	15	,	,	PUNCT
cana-4932	599	16	and	and	CCONJ
cana-4932	599	17	a.	a.	NOUN
cana-4932	599	18	nallanathan	nallanathan	PROPN
cana-4932	599	19	,	,	PUNCT
cana-4932	599	20	"	"	PUNCT
cana-4932	599	21	outage	outage	ADJ
cana-4932	599	22	performance	performance	NOUN
cana-4932	599	23	of	of	ADP
cana-4932	599	24	cooperative	cooperative	ADJ
cana-4932	599	25	noma	noma	PROPN
cana-4932	599	26	networks	network	NOUN
cana-4932	599	27	with	with	ADP
cana-4932	599	28	hardware	hardware	NOUN
cana-4932	599	29	impairments	impairment	NOUN
cana-4932	599	30	,	,	PUNCT
cana-4932	599	31	"	"	PUNCT
cana-4932	599	32	in	in	ADP
cana-4932	599	33	2018	2018	NUM
cana-4932	599	34	ieee	ieee	NOUN
cana-4932	599	35	global	global	PROPN
cana-4932	599	36	communications	communications	PROPN
cana-4932	599	37	conference	conference	NOUN
cana-4932	599	38	(	(	PUNCT
cana-4932	599	39	globecom	globecom	PROPN
cana-4932	599	40	)	)	PUNCT
cana-4932	599	41	,	,	PUNCT
cana-4932	599	42	2018	2018	NUM
cana-4932	599	43	:	:	PUNCT
cana-4932	599	44	ieee	ieee	NOUN
cana-4932	599	45	,	,	PUNCT
cana-4932	599	46	pp	pp	ADJ
cana-4932	599	47	.	.	PUNCT
cana-4932	600	1	1	1	NUM
cana-4932	600	2	-	-	SYM
cana-4932	600	3	6	6	NUM
cana-4932	600	4	.	.	PUNCT
cana-4932	601	1	[	[	X
cana-4932	601	2	33	33	NUM
cana-4932	601	3	]	]	PUNCT
cana-4932	601	4	z.	z.	PROPN
cana-4932	601	5	chen	chen	PROPN
cana-4932	601	6	,	,	PUNCT
cana-4932	601	7	z.	z.	PROPN
cana-4932	601	8	ding	ding	PROPN
cana-4932	601	9	,	,	PUNCT
cana-4932	601	10	x.	x.	PROPN
cana-4932	601	11	dai	dai	PROPN
cana-4932	601	12	,	,	PUNCT
cana-4932	601	13	and	and	CCONJ
cana-4932	601	14	g.	g.	PROPN
cana-4932	601	15	k.	k.	PROPN
cana-4932	601	16	karagiannidis	karagiannidis	PROPN
cana-4932	601	17	,	,	PUNCT
cana-4932	601	18	"	"	PUNCT
cana-4932	601	19	on	on	ADP
cana-4932	601	20	the	the	DET
cana-4932	601	21	application	application	NOUN
cana-4932	601	22	of	of	ADP
cana-4932	601	23	quasi	quasi	NOUN
cana-4932	601	24	-	-	NOUN
cana-4932	601	25	degradation	degradation	NOUN
cana-4932	601	26	to	to	ADP
cana-4932	601	27	miso	miso	NOUN
cana-4932	601	28	-	-	PUNCT
cana-4932	601	29	noma	noma	PROPN
cana-4932	601	30	downlink	downlink	NOUN
cana-4932	601	31	,	,	PUNCT
cana-4932	601	32	"	"	PUNCT
cana-4932	601	33	ieee	ieee	NOUN
cana-4932	601	34	transactions	transaction	NOUN
cana-4932	601	35	on	on	ADP
cana-4932	601	36	signal	signal	ADJ
cana-4932	601	37	processing	processing	NOUN
cana-4932	601	38	,	,	PUNCT
cana-4932	601	39	vol	vol	NOUN
cana-4932	601	40	.	.	PROPN
cana-4932	601	41	64	64	NUM
cana-4932	601	42	,	,	PUNCT
cana-4932	601	43	no	no	INTJ
cana-4932	601	44	.	.	NOUN
cana-4932	601	45	23	23	NUM
cana-4932	601	46	,	,	PUNCT
cana-4932	601	47	pp	pp	ADJ
cana-4932	601	48	.	.	PUNCT
cana-4932	602	1	61746189	61746189	NUM
cana-4932	602	2	,	,	PUNCT
cana-4932	602	3	2016	2016	NUM
cana-4932	602	4	.	.	PUNCT
cana-4932	603	1	[	[	X
cana-4932	603	2	34	34	NUM
cana-4932	603	3	]	]	PUNCT
cana-4932	603	4	m.	m.	NOUN
cana-4932	603	5	el	el	PROPN
cana-4932	603	6	tanab	tanab	PROPN
cana-4932	603	7	and	and	CCONJ
cana-4932	603	8	w.	w.	PROPN
cana-4932	603	9	hamouda	hamouda	PROPN
cana-4932	603	10	,	,	PUNCT
cana-4932	603	11	"	"	PUNCT
cana-4932	603	12	resource	resource	NOUN
cana-4932	603	13	allocation	allocation	NOUN
cana-4932	603	14	for	for	ADP
cana-4932	603	15	underlay	underlay	NOUN
cana-4932	603	16	cognitive	cognitive	ADJ
cana-4932	603	17	radio	radio	NOUN
cana-4932	603	18	networks	network	NOUN
cana-4932	603	19	:	:	PUNCT
cana-4932	603	20	a	a	DET
cana-4932	603	21	survey	survey	NOUN
cana-4932	603	22	,	,	PUNCT
cana-4932	603	23	"	"	PUNCT
cana-4932	603	24	ieee	ieee	NOUN
cana-4932	603	25	communications	communication	NOUN
cana-4932	603	26	surveys	survey	NOUN
cana-4932	603	27	&	&	CCONJ
cana-4932	603	28	tutorials	tutorial	NOUN
cana-4932	603	29	,	,	PUNCT
cana-4932	603	30	vol	vol	NOUN
cana-4932	603	31	.	.	PROPN
cana-4932	603	32	19	19	NUM
cana-4932	603	33	,	,	PUNCT
cana-4932	603	34	no	no	INTJ
cana-4932	603	35	.	.	NOUN
cana-4932	603	36	2	2	NUM
cana-4932	603	37	,	,	PUNCT
cana-4932	603	38	pp	pp	ADJ
cana-4932	603	39	.	.	PUNCT
cana-4932	603	40	1249	1249	NUM
cana-4932	603	41	-	-	SYM
cana-4932	603	42	1276	1276	NUM
cana-4932	603	43	,	,	PUNCT
cana-4932	603	44	2016	2016	NUM
cana-4932	603	45	.	.	PUNCT
cana-4932	604	1	[	[	X
cana-4932	604	2	35	35	NUM
cana-4932	604	3	]	]	X
cana-4932	604	4	j.	j.	PROPN
cana-4932	604	5	g.	g.	PROPN
cana-4932	604	6	proakis	proakis	PROPN
cana-4932	604	7	,	,	PUNCT
cana-4932	604	8	"	"	PUNCT
cana-4932	604	9	spread	spread	VERB
cana-4932	604	10	spectrum	spectrum	NOUN
cana-4932	604	11	signals	signal	NOUN
cana-4932	604	12	for	for	ADP
cana-4932	604	13	digital	digital	ADJ
cana-4932	604	14	communications	communication	NOUN
cana-4932	604	15	,	,	PUNCT
cana-4932	604	16	"	"	PUNCT
cana-4932	604	17	wiley	wiley	PROPN
cana-4932	604	18	encyclopedia	encyclopedia	NOUN
cana-4932	604	19	of	of	ADP
cana-4932	604	20	telecommunications	telecommunication	NOUN
cana-4932	604	21	,	,	PUNCT
cana-4932	604	22	2003	2003	NUM
cana-4932	604	23	.	.	PUNCT
cana-4932	605	1	[	[	X
cana-4932	605	2	36	36	NUM
cana-4932	605	3	]	]	X
cana-4932	605	4	y.	y.	PROPN
cana-4932	605	5	yang	yang	PROPN
cana-4932	605	6	,	,	PUNCT
cana-4932	605	7	g.	g.	PROPN
cana-4932	605	8	scutari	scutari	PROPN
cana-4932	605	9	,	,	PUNCT
cana-4932	605	10	p.	p.	NOUN
cana-4932	605	11	song	song	NOUN
cana-4932	605	12	,	,	PUNCT
cana-4932	605	13	and	and	CCONJ
cana-4932	605	14	d.	d.	PROPN
cana-4932	605	15	p.	p.	PROPN
cana-4932	605	16	palomar	palomar	PROPN
cana-4932	605	17	,	,	PUNCT
cana-4932	605	18	"	"	PUNCT
cana-4932	605	19	robust	robust	ADJ
cana-4932	605	20	mimo	mimo	PROPN
cana-4932	605	21	cognitive	cognitive	ADJ
cana-4932	605	22	radio	radio	NOUN
cana-4932	605	23	systems	system	NOUN
cana-4932	605	24	under	under	ADP
cana-4932	605	25	interference	interference	NOUN
cana-4932	605	26	temperature	temperature	NOUN
cana-4932	605	27	constraints	constraint	NOUN
cana-4932	605	28	,	,	PUNCT
cana-4932	605	29	"	"	PUNCT
cana-4932	605	30	ieee	ieee	NOUN
cana-4932	605	31	journal	journal	NOUN
cana-4932	605	32	on	on	ADP
cana-4932	605	33	selected	select	VERB
cana-4932	605	34	areas	area	NOUN
cana-4932	605	35	in	in	ADP
cana-4932	605	36	communications	communication	NOUN
cana-4932	605	37	,	,	PUNCT
cana-4932	605	38	vol	vol	NOUN
cana-4932	605	39	.	.	PROPN
cana-4932	606	1	31	31	NUM
cana-4932	606	2	,	,	PUNCT
cana-4932	606	3	no	no	INTJ
cana-4932	606	4	.	.	NOUN
cana-4932	606	5	11	11	NUM
cana-4932	606	6	,	,	PUNCT
cana-4932	606	7	pp	pp	ADJ
cana-4932	606	8	.	.	PUNCT
cana-4932	607	1	2465	2465	NUM
cana-4932	607	2	-	-	SYM
cana-4932	607	3	2482	2482	NUM
cana-4932	607	4	,	,	PUNCT
cana-4932	607	5	2013	2013	NUM
cana-4932	607	6	.	.	PUNCT
cana-4932	608	1	[	[	X
cana-4932	608	2	37	37	NUM
cana-4932	608	3	]	]	PUNCT
cana-4932	608	4	m.	m.	NOUN
cana-4932	608	5	g.	g.	PROPN
cana-4932	608	6	adian	adian	PROPN
cana-4932	608	7	and	and	CCONJ
cana-4932	608	8	h.	h.	PROPN
cana-4932	608	9	aghaeinia	aghaeinia	PROPN
cana-4932	608	10	,	,	PUNCT
cana-4932	608	11	"	"	PUNCT
cana-4932	608	12	optimal	optimal	ADJ
cana-4932	608	13	resource	resource	NOUN
cana-4932	608	14	allocation	allocation	NOUN
cana-4932	608	15	for	for	ADP
cana-4932	608	16	opportunistic	opportunistic	ADJ
cana-4932	608	17	spectrum	spectrum	NOUN
cana-4932	608	18	access	access	NOUN
cana-4932	608	19	in	in	ADP
cana-4932	608	20	multiple	multiple	ADJ
cana-4932	608	21	-	-	PUNCT
cana-4932	608	22	input	input	NOUN
cana-4932	608	23	multiple	multiple	ADJ
cana-4932	608	24	-	-	PUNCT
cana-4932	608	25	output	output	NOUN
cana-4932	608	26	-	-	PUNCT
cana-4932	608	27	orthogonal	orthogonal	ADJ
cana-4932	608	28	frequency	frequency	NOUN
cana-4932	608	29	division	division	NOUN
cana-4932	608	30	multiplexing	multiplexing	NOUN
cana-4932	608	31	based	base	VERB
cana-4932	608	32	cooperative	cooperative	ADJ
cana-4932	608	33	cognitive	cognitive	ADJ
cana-4932	608	34	radio	radio	NOUN
cana-4932	608	35	networks	network	NOUN
cana-4932	608	36	,	,	PUNCT
cana-4932	608	37	"	"	PUNCT
cana-4932	608	38	iet	iet	PROPN
cana-4932	608	39	signal	signal	PROPN
cana-4932	608	40	processing	processing	NOUN
cana-4932	608	41	,	,	PUNCT
cana-4932	608	42	vol	vol	NOUN
cana-4932	608	43	.	.	PROPN
cana-4932	608	44	7	7	NUM
cana-4932	608	45	,	,	PUNCT
cana-4932	608	46	no	no	INTJ
cana-4932	608	47	.	.	NOUN
cana-4932	608	48	7	7	NUM
cana-4932	608	49	,	,	PUNCT
cana-4932	608	50	pp	pp	ADJ
cana-4932	608	51	.	.	PUNCT
cana-4932	608	52	549	549	NUM
cana-4932	608	53	-	-	SYM
cana-4932	608	54	557	557	NUM
cana-4932	608	55	,	,	PUNCT
cana-4932	608	56	2013	2013	NUM
cana-4932	608	57	.	.	PUNCT
cana-4932	609	1	[	[	X
cana-4932	609	2	38	38	NUM
cana-4932	609	3	]	]	PUNCT
cana-4932	609	4	z.	z.	PROPN
cana-4932	609	5	chu	chu	PROPN
cana-4932	609	6	,	,	PUNCT
cana-4932	609	7	f.	f.	PROPN
cana-4932	609	8	zhou	zhou	PROPN
cana-4932	609	9	,	,	PUNCT
cana-4932	609	10	z.	z.	PROPN
cana-4932	609	11	zhu	zhu	PROPN
cana-4932	609	12	,	,	PUNCT
cana-4932	609	13	r.	r.	PROPN
cana-4932	609	14	q.	q.	PROPN
cana-4932	609	15	hu	hu	PROPN
cana-4932	609	16	,	,	PUNCT
cana-4932	609	17	and	and	CCONJ
cana-4932	609	18	p.	p.	PROPN
cana-4932	609	19	xiao	xiao	PROPN
cana-4932	609	20	,	,	PUNCT
cana-4932	609	21	"	"	PUNCT
cana-4932	609	22	wireless	wireless	ADJ
cana-4932	609	23	powered	power	VERB
cana-4932	609	24	sensor	sensor	NOUN
cana-4932	609	25	networks	network	NOUN
cana-4932	609	26	for	for	ADP
cana-4932	609	27	internet	internet	NOUN
cana-4932	609	28	of	of	ADP
cana-4932	609	29	things	thing	NOUN
cana-4932	609	30	:	:	PUNCT
cana-4932	609	31	maximum	maximum	ADJ
cana-4932	609	32	throughput	throughput	NOUN
cana-4932	609	33	and	and	CCONJ
cana-4932	609	34	optimal	optimal	ADJ
cana-4932	609	35	power	power	NOUN
cana-4932	609	36	allocation	allocation	NOUN
cana-4932	609	37	,	,	PUNCT
cana-4932	609	38	"	"	PUNCT
cana-4932	609	39	ieee	ieee	NOUN
cana-4932	609	40	internet	internet	NOUN
cana-4932	609	41	of	of	ADP
cana-4932	609	42	things	thing	NOUN
cana-4932	609	43	journal	journal	NOUN
cana-4932	609	44	,	,	PUNCT
cana-4932	609	45	vol	vol	NOUN
cana-4932	609	46	.	.	PROPN
cana-4932	609	47	5	5	NUM
cana-4932	609	48	,	,	PUNCT
cana-4932	609	49	no	no	INTJ
cana-4932	609	50	.	.	NOUN
cana-4932	609	51	1	1	NUM
cana-4932	609	52	,	,	PUNCT
cana-4932	609	53	pp	pp	ADJ
cana-4932	609	54	.	.	PUNCT
cana-4932	610	1	310	310	NUM
cana-4932	610	2	-	-	SYM
cana-4932	610	3	321	321	NUM
cana-4932	610	4	,	,	PUNCT
cana-4932	610	5	2017	2017	NUM
cana-4932	610	6	.	.	PUNCT
cana-4932	611	1	[	[	X
cana-4932	611	2	39	39	NUM
cana-4932	611	3	]	]	PUNCT
cana-4932	611	4	f.	f.	PROPN
cana-4932	611	5	shams	shams	PROPN
cana-4932	611	6	,	,	PUNCT
cana-4932	611	7	g.	g.	PROPN
cana-4932	611	8	bacci	bacci	PROPN
cana-4932	611	9	,	,	PUNCT
cana-4932	611	10	and	and	CCONJ
cana-4932	611	11	m.	m.	NOUN
cana-4932	611	12	luise	luise	PROPN
cana-4932	611	13	,	,	PUNCT
cana-4932	611	14	"	"	PUNCT
cana-4932	611	15	a	a	DET
cana-4932	611	16	survey	survey	NOUN
cana-4932	611	17	on	on	ADP
cana-4932	611	18	resource	resource	NOUN
cana-4932	611	19	allocation	allocation	NOUN
cana-4932	611	20	techniques	technique	NOUN
cana-4932	611	21	in	in	ADP
cana-4932	611	22	ofdm	ofdm	PROPN
cana-4932	611	23	(	(	PUNCT
cana-4932	611	24	a	a	NOUN
cana-4932	611	25	)	)	PUNCT
cana-4932	611	26	networks	network	NOUN
cana-4932	611	27	,	,	PUNCT
cana-4932	611	28	"	"	PUNCT
cana-4932	611	29	computer	computer	NOUN
cana-4932	611	30	networks	network	NOUN
cana-4932	611	31	,	,	PUNCT
cana-4932	611	32	vol	vol	NOUN
cana-4932	611	33	.	.	PROPN
cana-4932	612	1	65	65	NUM
cana-4932	612	2	,	,	PUNCT
cana-4932	612	3	pp	pp	ADJ
cana-4932	612	4	.	.	PUNCT
cana-4932	613	1	129	129	NUM
cana-4932	613	2	-	-	SYM
cana-4932	613	3	150	150	NUM
cana-4932	613	4	,	,	PUNCT
cana-4932	613	5	2014	2014	NUM
cana-4932	613	6	.	.	PUNCT
cana-4932	614	1	[	[	X
cana-4932	614	2	40	40	NUM
cana-4932	614	3	]	]	PUNCT
cana-4932	614	4	e.	e.	PROPN
cana-4932	614	5	bedeer	bedeer	PROPN
cana-4932	614	6	,	,	PUNCT
cana-4932	614	7	o.	o.	PROPN
cana-4932	614	8	a.	a.	PROPN
cana-4932	614	9	dobre	dobre	PROPN
cana-4932	614	10	,	,	PUNCT
cana-4932	614	11	m.	m.	PROPN
cana-4932	614	12	h.	h.	PROPN
cana-4932	614	13	ahmed	ahmed	PROPN
cana-4932	614	14	,	,	PUNCT
cana-4932	614	15	and	and	CCONJ
cana-4932	614	16	k.	k.	PROPN
cana-4932	614	17	e.	e.	PROPN
cana-4932	614	18	baddour	baddour	PROPN
cana-4932	614	19	,	,	PUNCT
cana-4932	614	20	"	"	PUNCT
cana-4932	614	21	resource	resource	NOUN
cana-4932	614	22	allocation	allocation	NOUN
cana-4932	614	23	for	for	ADP
cana-4932	614	24	spectrum	spectrum	NOUN
cana-4932	614	25	sharing	sharing	NOUN
cana-4932	614	26	cognitive	cognitive	ADJ
cana-4932	614	27	radio	radio	NOUN
cana-4932	614	28	networks	network	NOUN
cana-4932	614	29	,	,	PUNCT
cana-4932	614	30	"	"	PUNCT
cana-4932	614	31	in	in	ADP
cana-4932	614	32	2013	2013	NUM
cana-4932	614	33	ieee	ieee	NOUN
cana-4932	614	34	international	international	ADJ
cana-4932	614	35	conference	conference	NOUN
cana-4932	614	36	on	on	ADP
cana-4932	614	37	communications	communication	NOUN
cana-4932	614	38	(	(	PUNCT
cana-4932	614	39	icc	icc	PROPN
cana-4932	614	40	)	)	PUNCT
cana-4932	614	41	,	,	PUNCT
cana-4932	614	42	2013	2013	NUM
cana-4932	614	43	:	:	PUNCT
cana-4932	614	44	ieee	ieee	NOUN
cana-4932	614	45	,	,	PUNCT
cana-4932	614	46	pp	pp	ADJ
cana-4932	614	47	.	.	PUNCT
cana-4932	614	48	2764	2764	NUM
cana-4932	614	49	-	-	SYM
cana-4932	614	50	2769	2769	NUM
cana-4932	614	51	.	.	PUNCT
cana-4932	615	1	[	[	X
cana-4932	615	2	41	41	NUM
cana-4932	615	3	]	]	PUNCT
cana-4932	615	4	a.	a.	NOUN
cana-4932	615	5	benjebbour	benjebbour	PROPN
cana-4932	615	6	,	,	PUNCT
cana-4932	615	7	y.	y.	PROPN
cana-4932	615	8	saito	saito	PROPN
cana-4932	615	9	,	,	PUNCT
cana-4932	615	10	y.	y.	PROPN
cana-4932	615	11	kishiyama	kishiyama	PROPN
cana-4932	615	12	,	,	PUNCT
cana-4932	615	13	a.	a.	PROPN
cana-4932	615	14	li	li	PROPN
cana-4932	615	15	,	,	PUNCT
cana-4932	615	16	a.	a.	PROPN
cana-4932	615	17	harada	harada	PROPN
cana-4932	615	18	,	,	PUNCT
cana-4932	615	19	and	and	CCONJ
cana-4932	615	20	t.	t.	PROPN
cana-4932	615	21	nakamura	nakamura	NOUN
cana-4932	615	22	,	,	PUNCT
cana-4932	615	23	"	"	PUNCT
cana-4932	615	24	concept	concept	NOUN
cana-4932	615	25	and	and	CCONJ
cana-4932	615	26	practical	practical	ADJ
cana-4932	615	27	considerations	consideration	NOUN
cana-4932	615	28	of	of	ADP
cana-4932	615	29	non	non	ADJ
cana-4932	615	30	-	-	ADJ
cana-4932	615	31	orthogonal	orthogonal	ADJ
cana-4932	615	32	multiple	multiple	ADJ
cana-4932	615	33	access	access	NOUN
cana-4932	615	34	(	(	PUNCT
cana-4932	615	35	noma	noma	PROPN
cana-4932	615	36	)	)	PUNCT
cana-4932	615	37	for	for	ADP
cana-4932	615	38	future	future	ADJ
cana-4932	615	39	radio	radio	NOUN
cana-4932	615	40	access	access	NOUN
cana-4932	615	41	,	,	PUNCT
cana-4932	615	42	"	"	PUNCT
cana-4932	615	43	in	in	ADP
cana-4932	615	44	2013	2013	NUM
cana-4932	615	45	international	international	ADJ
cana-4932	615	46	symposium	symposium	NOUN
cana-4932	615	47	on	on	ADP
cana-4932	615	48	intelligent	intelligent	ADJ
cana-4932	615	49	signal	signal	NOUN
cana-4932	615	50	processing	processing	NOUN
cana-4932	615	51	and	and	CCONJ
cana-4932	615	52	communication	communication	NOUN
cana-4932	615	53	systems	system	NOUN
cana-4932	615	54	,	,	PUNCT
cana-4932	615	55	2013	2013	NUM
cana-4932	615	56	:	:	PUNCT
cana-4932	615	57	ieee	ieee	NOUN
cana-4932	615	58	,	,	PUNCT
cana-4932	615	59	pp	pp	ADJ
cana-4932	615	60	.	.	PUNCT
cana-4932	616	1	770	770	NUM
cana-4932	616	2	-	-	SYM
cana-4932	616	3	774	774	NUM
cana-4932	616	4	.	.	PUNCT
cana-4932	617	1	[	[	X
cana-4932	617	2	42	42	NUM
cana-4932	617	3	]	]	X
cana-4932	617	4	b.	b.	PROPN
cana-4932	617	5	di	di	PROPN
cana-4932	617	6	,	,	PUNCT
cana-4932	617	7	s.	s.	PROPN
cana-4932	617	8	bayat	bayat	PROPN
cana-4932	617	9	,	,	PUNCT
cana-4932	617	10	l.	l.	PROPN
cana-4932	617	11	song	song	PROPN
cana-4932	617	12	,	,	PUNCT
cana-4932	617	13	and	and	CCONJ
cana-4932	617	14	y.	y.	PROPN
cana-4932	617	15	li	li	PROPN
cana-4932	617	16	,	,	PUNCT
cana-4932	617	17	"	"	PUNCT
cana-4932	617	18	radio	radio	NOUN
cana-4932	617	19	resource	resource	NOUN
cana-4932	617	20	allocation	allocation	NOUN
cana-4932	617	21	for	for	ADP
cana-4932	617	22	downlink	downlink	PROPN
cana-4932	617	23	non	non	ADJ
cana-4932	617	24	-	-	ADJ
cana-4932	617	25	orthogonal	orthogonal	ADJ
cana-4932	617	26	multiple	multiple	ADJ
cana-4932	617	27	access	access	NOUN
cana-4932	617	28	(	(	PUNCT
cana-4932	617	29	noma	noma	NOUN
cana-4932	617	30	)	)	PUNCT
cana-4932	617	31	networks	network	NOUN
cana-4932	617	32	using	use	VERB
cana-4932	617	33	matching	matching	NOUN
cana-4932	617	34	theory	theory	NOUN
cana-4932	617	35	,	,	PUNCT
cana-4932	617	36	"	"	PUNCT
cana-4932	617	37	in	in	ADP
cana-4932	617	38	2015	2015	NUM
cana-4932	617	39	ieee	ieee	NOUN
cana-4932	617	40	global	global	PROPN
cana-4932	617	41	communications	communications	PROPN
cana-4932	617	42	conference	conference	NOUN
cana-4932	617	43	(	(	PUNCT
cana-4932	617	44	globecom	globecom	PROPN
cana-4932	617	45	)	)	PUNCT
cana-4932	617	46	,	,	PUNCT
cana-4932	617	47	2015	2015	NUM
cana-4932	617	48	:	:	PUNCT
cana-4932	617	49	ieee	ieee	NOUN
cana-4932	617	50	,	,	PUNCT
cana-4932	617	51	pp	pp	ADJ
cana-4932	617	52	.	.	PUNCT
cana-4932	618	1	1	1	NUM
cana-4932	618	2	-	-	SYM
cana-4932	618	3	6	6	NUM
cana-4932	618	4	.	.	PUNCT
cana-4932	619	1	[	[	X
cana-4932	619	2	43	43	NUM
cana-4932	619	3	]	]	X
cana-4932	619	4	q.	q.	PROPN
cana-4932	619	5	sun	sun	PROPN
cana-4932	619	6	,	,	PUNCT
cana-4932	619	7	s.	s.	PROPN
cana-4932	619	8	han	han	PROPN
cana-4932	619	9	,	,	PUNCT
cana-4932	619	10	i.	i.	PROPN
cana-4932	619	11	chin	chin	PROPN
cana-4932	619	12	-	-	PUNCT
cana-4932	619	13	lin	lin	PROPN
cana-4932	619	14	,	,	PUNCT
cana-4932	619	15	and	and	CCONJ
cana-4932	619	16	z.	z.	PROPN
cana-4932	619	17	pan	pan	PROPN
cana-4932	619	18	,	,	PUNCT
cana-4932	619	19	"	"	PUNCT
cana-4932	619	20	on	on	ADP
cana-4932	619	21	the	the	DET
cana-4932	619	22	ergodic	ergodic	ADJ
cana-4932	619	23	capacity	capacity	NOUN
cana-4932	619	24	of	of	ADP
cana-4932	619	25	mimo	mimo	PROPN
cana-4932	619	26	noma	noma	PROPN
cana-4932	619	27	systems	systems	PROPN
cana-4932	619	28	,	,	PUNCT
cana-4932	619	29	"	"	PUNCT
cana-4932	619	30	ieee	ieee	NOUN
cana-4932	619	31	wireless	wireless	ADJ
cana-4932	619	32	communications	communication	NOUN
cana-4932	619	33	letters	letter	NOUN
cana-4932	619	34	,	,	PUNCT
cana-4932	619	35	vol	vol	NOUN
cana-4932	619	36	.	.	PROPN
cana-4932	619	37	4	4	NUM
cana-4932	619	38	,	,	PUNCT
cana-4932	619	39	no	no	INTJ
cana-4932	619	40	.	.	NOUN
cana-4932	619	41	4	4	NUM
cana-4932	619	42	,	,	PUNCT
cana-4932	619	43	pp	pp	ADJ
cana-4932	619	44	.	.	PUNCT
cana-4932	620	1	405	405	NUM
cana-4932	620	2	-	-	SYM
cana-4932	620	3	408	408	NUM
cana-4932	620	4	,	,	PUNCT
cana-4932	620	5	2015	2015	NUM
cana-4932	620	6	.	.	PUNCT
cana-4932	621	1	[	[	X
cana-4932	621	2	44	44	NUM
cana-4932	621	3	]	]	PUNCT
cana-4932	621	4	f.	f.	PROPN
cana-4932	621	5	m.	m.	PROPN
cana-4932	621	6	j.	j.	PROPN
cana-4932	621	7	willems	willems	PROPN
cana-4932	621	8	,	,	PUNCT
cana-4932	621	9	"	"	PUNCT
cana-4932	621	10	review	review	NOUN
cana-4932	621	11	of	of	ADP
cana-4932	621	12	'	'	PUNCT
cana-4932	621	13	elements	element	NOUN
cana-4932	621	14	of	of	ADP
cana-4932	621	15	information	information	NOUN
cana-4932	621	16	theory	theory	NOUN
cana-4932	621	17	'	'	PUNCT
cana-4932	621	18	(	(	PUNCT
cana-4932	621	19	cover	cover	NOUN
cana-4932	621	20	,	,	PUNCT
cana-4932	621	21	t.m	t.m	PROPN
cana-4932	621	22	.	.	PROPN
cana-4932	621	23	,	,	PUNCT
cana-4932	621	24	and	and	CCONJ
cana-4932	621	25	thomas	thomas	PROPN
cana-4932	621	26	,	,	PUNCT
cana-4932	621	27	j.a	j.a	PROPN
cana-4932	621	28	.	.	PROPN
cana-4932	621	29	;	;	PUNCT
cana-4932	621	30	1991	1991	NUM
cana-4932	621	31	)	)	PUNCT
cana-4932	621	32	,	,	PUNCT
cana-4932	621	33	"	"	PUNCT
cana-4932	621	34	ieee	ieee	PROPN
cana-4932	621	35	trans	trans	PROPN
cana-4932	621	36	.	.	PROPN
cana-4932	621	37	inf	inf	PROPN
cana-4932	622	1	.	.	PUNCT
cana-4932	622	2	theory	theory	NOUN
cana-4932	622	3	,	,	PUNCT
cana-4932	622	4	vol	vol	NOUN
cana-4932	622	5	.	.	PROPN
cana-4932	622	6	39	39	NUM
cana-4932	622	7	,	,	PUNCT
cana-4932	622	8	no	no	INTJ
cana-4932	622	9	.	.	NOUN
cana-4932	622	10	1	1	NUM
cana-4932	622	11	,	,	PUNCT
cana-4932	622	12	pp	pp	ADJ
cana-4932	622	13	.	.	PUNCT
cana-4932	623	1	313-	313-	NUM
cana-4932	623	2	,	,	PUNCT
cana-4932	623	3	1993	1993	NUM
cana-4932	623	4	.	.	PUNCT
cana-4932	624	1	communications	communication	NOUN
cana-4932	624	2	on	on	ADP
cana-4932	624	3	applied	apply	VERB
cana-4932	624	4	nonlinear	nonlinear	ADJ
cana-4932	624	5	analysis	analysis	NOUN
cana-4932	624	6	issn	issn	NOUN
cana-4932	624	7	:	:	PUNCT
cana-4932	624	8	1074	1074	NUM
cana-4932	624	9	-	-	PUNCT
cana-4932	624	10	133x	133x	NUM
cana-4932	624	11	vol	vol	VERB
cana-4932	624	12	32	32	NUM
cana-4932	624	13	no	no	NOUN
cana-4932	624	14	.	.	PUNCT
cana-4932	625	1	10s	10	NOUN
cana-4932	625	2	(	(	PUNCT
cana-4932	625	3	2025	2025	NUM
cana-4932	625	4	)	)	PUNCT
cana-4932	625	5	1008	1008	NUM
cana-4932	625	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	626	1	[	[	X
cana-4932	626	2	45	45	NUM
cana-4932	626	3	]	]	PUNCT
cana-4932	626	4	m.	m.	NOUN
cana-4932	626	5	zeng	zeng	PROPN
cana-4932	626	6	,	,	PUNCT
cana-4932	626	7	a.	a.	NOUN
cana-4932	626	8	yadav	yadav	PROPN
cana-4932	626	9	,	,	PUNCT
cana-4932	626	10	o.	o.	PROPN
cana-4932	626	11	a.	a.	PROPN
cana-4932	626	12	dobre	dobre	PROPN
cana-4932	626	13	,	,	PUNCT
cana-4932	626	14	g.	g.	PROPN
cana-4932	626	15	i.	i.	PROPN
cana-4932	626	16	tsiropoulos	tsiropoulos	PROPN
cana-4932	626	17	,	,	PUNCT
cana-4932	626	18	and	and	CCONJ
cana-4932	626	19	h.	h.	PROPN
cana-4932	626	20	v.	v.	PROPN
cana-4932	626	21	poor	poor	ADJ
cana-4932	626	22	,	,	PUNCT
cana-4932	626	23	"	"	PUNCT
cana-4932	626	24	on	on	ADP
cana-4932	626	25	the	the	DET
cana-4932	626	26	sum	sum	NOUN
cana-4932	626	27	rate	rate	NOUN
cana-4932	626	28	of	of	ADP
cana-4932	626	29	mimonoma	mimonoma	NOUN
cana-4932	626	30	and	and	CCONJ
cana-4932	626	31	mimo	mimo	PROPN
cana-4932	626	32	-	-	PUNCT
cana-4932	626	33	oma	oma	PROPN
cana-4932	626	34	systems	system	NOUN
cana-4932	626	35	,	,	PUNCT
cana-4932	626	36	"	"	PUNCT
cana-4932	626	37	ieee	ieee	NOUN
cana-4932	626	38	wireless	wireless	ADJ
cana-4932	626	39	communications	communication	NOUN
cana-4932	626	40	letters	letter	NOUN
cana-4932	626	41	,	,	PUNCT
cana-4932	626	42	vol	vol	NOUN
cana-4932	626	43	.	.	PROPN
cana-4932	626	44	6	6	NUM
cana-4932	626	45	,	,	PUNCT
cana-4932	626	46	no	no	INTJ
cana-4932	626	47	.	.	NOUN
cana-4932	626	48	4	4	NUM
cana-4932	626	49	,	,	PUNCT
cana-4932	626	50	pp	pp	ADJ
cana-4932	626	51	.	.	PUNCT
cana-4932	626	52	534537	534537	NUM
cana-4932	626	53	,	,	PUNCT
cana-4932	626	54	2017	2017	NUM
cana-4932	626	55	.	.	PUNCT
cana-4932	627	1	[	[	X
cana-4932	627	2	46	46	NUM
cana-4932	627	3	]	]	PUNCT
cana-4932	627	4	m.	m.	NOUN
cana-4932	627	5	mohammadi	mohammadi	NOUN
cana-4932	627	6	and	and	CCONJ
cana-4932	627	7	s.	s.	PROPN
cana-4932	627	8	m.	m.	PROPN
cana-4932	627	9	h.	h.	PROPN
cana-4932	627	10	andargoli	andargoli	PROPN
cana-4932	627	11	,	,	PUNCT
cana-4932	627	12	"	"	PUNCT
cana-4932	627	13	sum	sum	NOUN
cana-4932	627	14	throughput	throughput	NOUN
cana-4932	627	15	maximization	maximization	NOUN
cana-4932	627	16	for	for	ADP
cana-4932	627	17	downlink	downlink	NOUN
cana-4932	627	18	mimoofdma	mimoofdma	NOUN
cana-4932	627	19	based	base	VERB
cana-4932	627	20	cognitive	cognitive	ADJ
cana-4932	627	21	radio	radio	NOUN
cana-4932	627	22	networks	network	NOUN
cana-4932	627	23	in	in	ADP
cana-4932	627	24	spectrum	spectrum	NOUN
cana-4932	627	25	overlay	overlay	NOUN
cana-4932	627	26	model	model	NOUN
cana-4932	627	27	,	,	PUNCT
cana-4932	627	28	"	"	PUNCT
cana-4932	627	29	in	in	ADP
cana-4932	627	30	2016	2016	NUM
cana-4932	627	31	8th	8th	ADJ
cana-4932	627	32	international	international	ADJ
cana-4932	627	33	symposium	symposium	NOUN
cana-4932	627	34	on	on	ADP
cana-4932	627	35	telecommunications	telecommunications	NOUN
cana-4932	627	36	(	(	PUNCT
cana-4932	627	37	ist	ist	NOUN
cana-4932	627	38	)	)	PUNCT
cana-4932	627	39	,	,	PUNCT
cana-4932	627	40	2016	2016	NUM
cana-4932	627	41	:	:	PUNCT
cana-4932	627	42	ieee	ieee	NOUN
cana-4932	627	43	,	,	PUNCT
cana-4932	627	44	pp	pp	ADJ
cana-4932	627	45	.	.	PUNCT
cana-4932	628	1	72	72	NUM
cana-4932	628	2	-	-	SYM
cana-4932	628	3	77	77	NUM
cana-4932	628	4	.	.	PUNCT
cana-4932	629	1	[	[	X
cana-4932	629	2	47	47	NUM
cana-4932	629	3	]	]	PUNCT
cana-4932	629	4	j.	j.	PROPN
cana-4932	629	5	choi	choi	PROPN
cana-4932	629	6	,	,	PUNCT
cana-4932	629	7	"	"	PUNCT
cana-4932	629	8	on	on	ADP
cana-4932	629	9	the	the	DET
cana-4932	629	10	power	power	NOUN
cana-4932	629	11	allocation	allocation	NOUN
cana-4932	629	12	for	for	ADP
cana-4932	629	13	a	a	DET
cana-4932	629	14	practical	practical	ADJ
cana-4932	629	15	multiuser	multiuser	NOUN
cana-4932	629	16	superposition	superposition	NOUN
cana-4932	629	17	scheme	scheme	NOUN
cana-4932	629	18	in	in	ADP
cana-4932	629	19	noma	noma	PROPN
cana-4932	629	20	systems	system	NOUN
cana-4932	629	21	,	,	PUNCT
cana-4932	629	22	"	"	PUNCT
cana-4932	629	23	ieee	ieee	NOUN
cana-4932	629	24	communications	communication	NOUN
cana-4932	629	25	letters	letter	NOUN
cana-4932	629	26	,	,	PUNCT
cana-4932	629	27	vol	vol	NOUN
cana-4932	629	28	.	.	PROPN
cana-4932	629	29	20	20	NUM
cana-4932	629	30	,	,	PUNCT
cana-4932	629	31	no	no	INTJ
cana-4932	629	32	.	.	NOUN
cana-4932	629	33	3	3	NUM
cana-4932	629	34	,	,	PUNCT
cana-4932	629	35	pp	pp	ADJ
cana-4932	629	36	.	.	PUNCT
cana-4932	630	1	438	438	NUM
cana-4932	630	2	-	-	SYM
cana-4932	630	3	441	441	NUM
cana-4932	630	4	,	,	PUNCT
cana-4932	630	5	2016	2016	NUM
cana-4932	630	6	.	.	PUNCT
cana-4932	631	1	[	[	X
cana-4932	631	2	48	48	NUM
cana-4932	631	3	]	]	PUNCT
cana-4932	631	4	j.	j.	PROPN
cana-4932	631	5	choi	choi	PROPN
cana-4932	631	6	,	,	PUNCT
cana-4932	631	7	"	"	PUNCT
cana-4932	631	8	on	on	ADP
cana-4932	631	9	the	the	DET
cana-4932	631	10	power	power	NOUN
cana-4932	631	11	allocation	allocation	NOUN
cana-4932	631	12	for	for	ADP
cana-4932	631	13	mimo	mimo	PROPN
cana-4932	631	14	-	-	PUNCT
cana-4932	631	15	noma	noma	PROPN
cana-4932	631	16	systems	system	NOUN
cana-4932	631	17	with	with	ADP
cana-4932	631	18	layered	layered	ADJ
cana-4932	631	19	transmissions	transmission	NOUN
cana-4932	631	20	,	,	PUNCT
cana-4932	631	21	"	"	PUNCT
cana-4932	631	22	ieee	ieee	NOUN
cana-4932	631	23	transactions	transaction	NOUN
cana-4932	631	24	on	on	ADP
cana-4932	631	25	wireless	wireless	ADJ
cana-4932	631	26	communications	communication	NOUN
cana-4932	631	27	,	,	PUNCT
cana-4932	631	28	vol	vol	NOUN
cana-4932	631	29	.	.	PROPN
cana-4932	631	30	15	15	NUM
cana-4932	631	31	,	,	PUNCT
cana-4932	631	32	no	no	INTJ
cana-4932	631	33	.	.	NOUN
cana-4932	631	34	5	5	NUM
cana-4932	631	35	,	,	PUNCT
cana-4932	631	36	pp	pp	ADJ
cana-4932	631	37	.	.	PUNCT
cana-4932	632	1	3226	3226	NUM
cana-4932	632	2	-	-	SYM
cana-4932	632	3	3237	3237	NUM
cana-4932	632	4	,	,	PUNCT
cana-4932	632	5	2016	2016	NUM
cana-4932	632	6	.	.	PUNCT
cana-4932	633	1	[	[	X
cana-4932	633	2	49	49	NUM
cana-4932	633	3	]	]	X
cana-4932	633	4	g.	g.	PROPN
cana-4932	633	5	j.	j.	PROPN
cana-4932	633	6	foschini	foschini	PROPN
cana-4932	633	7	,	,	PUNCT
cana-4932	633	8	"	"	PUNCT
cana-4932	633	9	layered	layered	ADJ
cana-4932	633	10	space	space	NOUN
cana-4932	633	11	-	-	PUNCT
cana-4932	633	12	time	time	NOUN
cana-4932	633	13	architecture	architecture	NOUN
cana-4932	633	14	for	for	ADP
cana-4932	633	15	wireless	wireless	ADJ
cana-4932	633	16	communication	communication	NOUN
cana-4932	633	17	in	in	ADP
cana-4932	633	18	a	a	DET
cana-4932	633	19	fading	fade	VERB
cana-4932	633	20	environment	environment	NOUN
cana-4932	633	21	when	when	SCONJ
cana-4932	633	22	using	use	VERB
cana-4932	633	23	multi	multi	ADJ
cana-4932	633	24	-	-	ADJ
cana-4932	633	25	element	element	ADJ
cana-4932	633	26	antennas	antenna	NOUN
cana-4932	633	27	,	,	PUNCT
cana-4932	633	28	"	"	PUNCT
cana-4932	633	29	bell	bell	PROPN
cana-4932	633	30	labs	labs	PROPN
cana-4932	633	31	technical	technical	PROPN
cana-4932	633	32	journal	journal	PROPN
cana-4932	633	33	,	,	PUNCT
cana-4932	633	34	vol	vol	NOUN
cana-4932	633	35	.	.	PROPN
cana-4932	633	36	1	1	NUM
cana-4932	633	37	,	,	PUNCT
cana-4932	633	38	no	no	INTJ
cana-4932	633	39	.	.	NOUN
cana-4932	633	40	2	2	NUM
cana-4932	633	41	,	,	PUNCT
cana-4932	633	42	pp	pp	ADJ
cana-4932	633	43	.	.	PUNCT
cana-4932	634	1	41	41	NUM
cana-4932	634	2	-	-	SYM
cana-4932	634	3	59	59	NUM
cana-4932	634	4	,	,	PUNCT
cana-4932	634	5	1996	1996	NUM
cana-4932	634	6	.	.	PUNCT
cana-4932	635	1	[	[	X
cana-4932	635	2	50	50	NUM
cana-4932	635	3	]	]	X
cana-4932	635	4	g.	g.	PROPN
cana-4932	635	5	j.	j.	PROPN
cana-4932	635	6	foschini	foschini	PROPN
cana-4932	635	7	,	,	PUNCT
cana-4932	635	8	d.	d.	PROPN
cana-4932	635	9	chizhik	chizhik	PROPN
cana-4932	635	10	,	,	PUNCT
cana-4932	635	11	m.	m.	NOUN
cana-4932	635	12	j.	j.	PROPN
cana-4932	635	13	gans	gans	PROPN
cana-4932	635	14	,	,	PUNCT
cana-4932	635	15	c.	c.	PROPN
cana-4932	635	16	papadias	papadias	PROPN
cana-4932	635	17	,	,	PUNCT
cana-4932	635	18	and	and	CCONJ
cana-4932	635	19	r.	r.	PROPN
cana-4932	635	20	a.	a.	PROPN
cana-4932	635	21	valenzuela	valenzuela	PROPN
cana-4932	635	22	,	,	PUNCT
cana-4932	635	23	"	"	PUNCT
cana-4932	635	24	analysis	analysis	NOUN
cana-4932	635	25	and	and	CCONJ
cana-4932	635	26	performance	performance	NOUN
cana-4932	635	27	of	of	ADP
cana-4932	635	28	some	some	DET
cana-4932	635	29	basic	basic	ADJ
cana-4932	635	30	space	space	NOUN
cana-4932	635	31	-	-	PUNCT
cana-4932	635	32	time	time	NOUN
cana-4932	635	33	architectures	architecture	NOUN
cana-4932	635	34	,	,	PUNCT
cana-4932	635	35	"	"	PUNCT
cana-4932	635	36	ieee	ieee	NOUN
cana-4932	635	37	journal	journal	NOUN
cana-4932	635	38	on	on	ADP
cana-4932	635	39	selected	select	VERB
cana-4932	635	40	areas	area	NOUN
cana-4932	635	41	in	in	ADP
cana-4932	635	42	communications	communication	NOUN
cana-4932	635	43	,	,	PUNCT
cana-4932	635	44	vol	vol	NOUN
cana-4932	635	45	.	.	PROPN
cana-4932	635	46	21	21	NUM
cana-4932	635	47	,	,	PUNCT
cana-4932	635	48	no	no	INTJ
cana-4932	635	49	.	.	NOUN
cana-4932	635	50	3	3	NUM
cana-4932	635	51	,	,	PUNCT
cana-4932	635	52	pp	pp	ADJ
cana-4932	635	53	.	.	PUNCT
cana-4932	635	54	303	303	NUM
cana-4932	635	55	-	-	SYM
cana-4932	635	56	320	320	NUM
cana-4932	635	57	,	,	PUNCT
cana-4932	635	58	2003	2003	NUM
cana-4932	635	59	.	.	PUNCT
cana-4932	636	1	[	[	X
cana-4932	636	2	51	51	NUM
cana-4932	636	3	]	]	X
cana-4932	636	4	y.	y.	PROPN
cana-4932	636	5	sun	sun	PROPN
cana-4932	636	6	,	,	PUNCT
cana-4932	636	7	d.	d.	PROPN
cana-4932	636	8	w.	w.	PROPN
cana-4932	636	9	k.	k.	PROPN
cana-4932	636	10	ng	ng	PROPN
cana-4932	636	11	,	,	PUNCT
cana-4932	636	12	and	and	CCONJ
cana-4932	636	13	r.	r.	PROPN
cana-4932	636	14	schober	schober	PROPN
cana-4932	636	15	,	,	PUNCT
cana-4932	636	16	"	"	PUNCT
cana-4932	636	17	resource	resource	NOUN
cana-4932	636	18	allocation	allocation	NOUN
cana-4932	636	19	for	for	ADP
cana-4932	636	20	mc	mc	PROPN
cana-4932	636	21	-	-	PUNCT
cana-4932	636	22	noma	noma	PROPN
cana-4932	636	23	systems	system	NOUN
cana-4932	636	24	with	with	ADP
cana-4932	636	25	cognitive	cognitive	ADJ
cana-4932	636	26	relaying	relaying	NOUN
cana-4932	636	27	,	,	PUNCT
cana-4932	636	28	"	"	PUNCT
cana-4932	636	29	in	in	ADP
cana-4932	636	30	2017	2017	NUM
cana-4932	636	31	ieee	ieee	NOUN
cana-4932	636	32	globecom	globecom	NOUN
cana-4932	636	33	workshops	workshop	NOUN
cana-4932	636	34	(	(	PUNCT
cana-4932	636	35	gc	gc	PROPN
cana-4932	636	36	wkshps	wkshps	PROPN
cana-4932	636	37	)	)	PUNCT
cana-4932	636	38	,	,	PUNCT
cana-4932	636	39	2017	2017	NUM
cana-4932	636	40	:	:	PUNCT
cana-4932	636	41	ieee	ieee	NOUN
cana-4932	636	42	,	,	PUNCT
cana-4932	636	43	pp	pp	ADJ
cana-4932	636	44	.	.	PUNCT
cana-4932	637	1	1	1	NUM
cana-4932	637	2	-	-	SYM
cana-4932	637	3	7	7	NUM
cana-4932	637	4	.	.	PUNCT
cana-4932	638	1	[	[	X
cana-4932	638	2	52	52	NUM
cana-4932	638	3	]	]	PUNCT
cana-4932	638	4	d.	d.	PROPN
cana-4932	638	5	zhang	zhang	PROPN
cana-4932	638	6	,	,	PUNCT
cana-4932	638	7	y.	y.	PROPN
cana-4932	638	8	liu	liu	PROPN
cana-4932	638	9	,	,	PUNCT
cana-4932	638	10	z.	z.	PROPN
cana-4932	638	11	ding	ding	PROPN
cana-4932	638	12	,	,	PUNCT
cana-4932	638	13	z.	z.	PROPN
cana-4932	638	14	zhou	zhou	PROPN
cana-4932	638	15	,	,	PUNCT
cana-4932	638	16	a.	a.	NOUN
cana-4932	638	17	nallanathan	nallanathan	PROPN
cana-4932	638	18	,	,	PUNCT
cana-4932	638	19	and	and	CCONJ
cana-4932	638	20	t.	t.	NOUN
cana-4932	638	21	sato	sato	NOUN
cana-4932	638	22	,	,	PUNCT
cana-4932	638	23	"	"	PUNCT
cana-4932	638	24	performance	performance	NOUN
cana-4932	638	25	analysis	analysis	NOUN
cana-4932	638	26	of	of	ADP
cana-4932	638	27	nonregenerative	nonregenerative	ADJ
cana-4932	638	28	massive	massive	ADJ
cana-4932	638	29	-	-	PUNCT
cana-4932	638	30	mimo	mimo	ADJ
cana-4932	638	31	-	-	PUNCT
cana-4932	638	32	noma	noma	PROPN
cana-4932	638	33	relay	relay	NOUN
cana-4932	638	34	systems	system	NOUN
cana-4932	638	35	for	for	ADP
cana-4932	638	36	5	5	NUM
cana-4932	638	37	g	g	NOUN
cana-4932	638	38	,	,	PUNCT
cana-4932	638	39	"	"	PUNCT
cana-4932	638	40	ieee	ieee	NOUN
cana-4932	638	41	transactions	transaction	NOUN
cana-4932	638	42	on	on	ADP
cana-4932	638	43	communications	communication	NOUN
cana-4932	638	44	,	,	PUNCT
cana-4932	638	45	vol	vol	NOUN
cana-4932	638	46	.	.	PROPN
cana-4932	638	47	65	65	NUM
cana-4932	638	48	,	,	PUNCT
cana-4932	638	49	no	no	INTJ
cana-4932	638	50	.	.	NOUN
cana-4932	638	51	11	11	NUM
cana-4932	638	52	,	,	PUNCT
cana-4932	638	53	pp	pp	ADJ
cana-4932	638	54	.	.	PUNCT
cana-4932	639	1	4777	4777	NUM
cana-4932	639	2	-	-	SYM
cana-4932	639	3	4790	4790	NUM
cana-4932	639	4	,	,	PUNCT
cana-4932	639	5	2017	2017	NUM
cana-4932	639	6	.	.	PUNCT
cana-4932	640	1	[	[	X
cana-4932	640	2	53	53	NUM
cana-4932	640	3	]	]	PUNCT
cana-4932	640	4	l.	l.	PROPN
cana-4932	640	5	dai	dai	PROPN
cana-4932	640	6	,	,	PUNCT
cana-4932	640	7	b.	b.	PROPN
cana-4932	640	8	wang	wang	PROPN
cana-4932	640	9	,	,	PUNCT
cana-4932	640	10	m.	m.	PROPN
cana-4932	640	11	peng	peng	PROPN
cana-4932	640	12	,	,	PUNCT
cana-4932	640	13	and	and	CCONJ
cana-4932	640	14	s.	s.	PROPN
cana-4932	640	15	chen	chen	PROPN
cana-4932	640	16	,	,	PUNCT
cana-4932	640	17	"	"	PUNCT
cana-4932	640	18	hybrid	hybrid	ADJ
cana-4932	640	19	precoding	precoding	NOUN
cana-4932	640	20	-	-	PUNCT
cana-4932	640	21	based	base	VERB
cana-4932	640	22	millimeter	millimeter	NOUN
cana-4932	640	23	-	-	PUNCT
cana-4932	640	24	wave	wave	NOUN
cana-4932	640	25	massive	massive	ADJ
cana-4932	640	26	mimo	mimo	PROPN
cana-4932	640	27	-	-	PUNCT
cana-4932	640	28	noma	noma	PROPN
cana-4932	640	29	with	with	ADP
cana-4932	640	30	simultaneous	simultaneous	ADJ
cana-4932	640	31	wireless	wireless	ADJ
cana-4932	640	32	information	information	NOUN
cana-4932	640	33	and	and	CCONJ
cana-4932	640	34	power	power	NOUN
cana-4932	640	35	transfer	transfer	NOUN
cana-4932	640	36	,	,	PUNCT
cana-4932	640	37	"	"	PUNCT
cana-4932	640	38	ieee	ieee	NOUN
cana-4932	640	39	journal	journal	NOUN
cana-4932	640	40	on	on	ADP
cana-4932	640	41	selected	select	VERB
cana-4932	640	42	areas	area	NOUN
cana-4932	640	43	in	in	ADP
cana-4932	640	44	communications	communication	NOUN
cana-4932	640	45	,	,	PUNCT
cana-4932	640	46	vol	vol	NOUN
cana-4932	640	47	.	.	PROPN
cana-4932	640	48	37	37	NUM
cana-4932	640	49	,	,	PUNCT
cana-4932	640	50	no	no	INTJ
cana-4932	640	51	.	.	NOUN
cana-4932	640	52	1	1	NUM
cana-4932	640	53	,	,	PUNCT
cana-4932	640	54	pp	pp	ADJ
cana-4932	640	55	.	.	PUNCT
cana-4932	641	1	131	131	NUM
cana-4932	641	2	-	-	SYM
cana-4932	641	3	141	141	NUM
cana-4932	641	4	,	,	PUNCT
cana-4932	641	5	2018	2018	NUM
cana-4932	641	6	.	.	PUNCT
cana-4932	642	1	[	[	X
cana-4932	642	2	54	54	NUM
cana-4932	642	3	]	]	X
cana-4932	642	4	y.	y.	PROPN
cana-4932	642	5	s.	s.	PROPN
cana-4932	642	6	xiao	xiao	PROPN
cana-4932	642	7	and	and	CCONJ
cana-4932	642	8	d.	d.	PROPN
cana-4932	642	9	h.	h.	PROPN
cana-4932	642	10	tsang	tsang	PROPN
cana-4932	642	11	,	,	PUNCT
cana-4932	642	12	"	"	PUNCT
cana-4932	642	13	interference	interference	NOUN
cana-4932	642	14	alignment	alignment	NOUN
cana-4932	642	15	beamforming	beamforming	NOUN
cana-4932	642	16	and	and	CCONJ
cana-4932	642	17	power	power	NOUN
cana-4932	642	18	allocation	allocation	NOUN
cana-4932	642	19	for	for	ADP
cana-4932	642	20	cognitive	cognitive	ADJ
cana-4932	642	21	mimo	mimo	PROPN
cana-4932	642	22	-	-	PUNCT
cana-4932	642	23	noma	noma	PROPN
cana-4932	642	24	downlink	downlink	NOUN
cana-4932	642	25	networks	network	NOUN
cana-4932	642	26	,	,	PUNCT
cana-4932	642	27	"	"	PUNCT
cana-4932	642	28	in	in	ADP
cana-4932	642	29	2019	2019	NUM
cana-4932	642	30	ieee	ieee	NOUN
cana-4932	642	31	wireless	wireless	NOUN
cana-4932	642	32	communications	communication	NOUN
cana-4932	642	33	and	and	CCONJ
cana-4932	642	34	networking	network	VERB
cana-4932	642	35	conference	conference	NOUN
cana-4932	642	36	(	(	PUNCT
cana-4932	642	37	wcnc	wcnc	ADJ
cana-4932	642	38	)	)	PUNCT
cana-4932	642	39	,	,	PUNCT
cana-4932	642	40	2019	2019	NUM
cana-4932	642	41	:	:	PUNCT
cana-4932	642	42	ieee	ieee	NOUN
cana-4932	642	43	,	,	PUNCT
cana-4932	642	44	pp	pp	ADJ
cana-4932	642	45	.	.	PUNCT
cana-4932	643	1	1	1	NUM
cana-4932	643	2	-	-	SYM
cana-4932	643	3	6	6	NUM
cana-4932	643	4	.	.	PUNCT
cana-4932	644	1	[	[	X
cana-4932	644	2	55	55	NUM
cana-4932	644	3	]	]	PUNCT
cana-4932	644	4	d.-t	d.-t	NOUN
cana-4932	644	5	.	.	PUNCT
cana-4932	645	1	do	do	VERB
cana-4932	645	2	and	and	CCONJ
cana-4932	645	3	a.-t	a.-t	NOUN
cana-4932	645	4	.	.	PUNCT
cana-4932	646	1	l.	l.	PROPN
cana-4932	646	2	chi	chi	PROPN
cana-4932	646	3	-	-	PUNCT
cana-4932	646	4	bao	bao	PROPN
cana-4932	646	5	le	le	X
cana-4932	646	6	,	,	PUNCT
cana-4932	646	7	"	"	PUNCT
cana-4932	646	8	cooperative	cooperative	ADJ
cana-4932	646	9	underlay	underlay	NOUN
cana-4932	646	10	cognitive	cognitive	ADJ
cana-4932	646	11	radio	radio	NOUN
cana-4932	646	12	assisted	assist	VERB
cana-4932	646	13	noma	noma	PROPN
cana-4932	646	14	:	:	PUNCT
cana-4932	646	15	secondary	secondary	ADJ
cana-4932	646	16	network	network	NOUN
cana-4932	646	17	improvement	improvement	NOUN
cana-4932	646	18	and	and	CCONJ
cana-4932	646	19	outage	outage	NOUN
cana-4932	646	20	performance	performance	NOUN
cana-4932	646	21	,	,	PUNCT
cana-4932	646	22	"	"	PUNCT
cana-4932	646	23	telkomnika	telkomnika	ADP
cana-4932	646	24	telecommunication	telecommunication	NOUN
cana-4932	646	25	computing	compute	VERB
cana-4932	646	26	electronics	electronic	NOUN
cana-4932	646	27	and	and	CCONJ
cana-4932	646	28	control	control	NOUN
cana-4932	646	29	,	,	PUNCT
cana-4932	646	30	vol	vol	NOUN
cana-4932	646	31	.	.	PROPN
cana-4932	647	1	17	17	NUM
cana-4932	647	2	,	,	PUNCT
cana-4932	647	3	no	no	INTJ
cana-4932	647	4	.	.	NOUN
cana-4932	647	5	5	5	NUM
cana-4932	647	6	,	,	PUNCT
cana-4932	647	7	pp	pp	ADJ
cana-4932	647	8	.	.	PUNCT
cana-4932	648	1	2147	2147	NUM
cana-4932	648	2	-	-	SYM
cana-4932	648	3	2154	2154	NUM
cana-4932	648	4	,	,	PUNCT
cana-4932	648	5	2019	2019	NUM
cana-4932	648	6	.	.	PUNCT
cana-4932	649	1	[	[	X
cana-4932	649	2	56	56	NUM
cana-4932	649	3	]	]	X
cana-4932	649	4	d.	d.	PROPN
cana-4932	649	5	t.	t.	PROPN
cana-4932	649	6	do	do	VERB
cana-4932	649	7	,	,	PUNCT
cana-4932	649	8	a.	a.	NOUN
cana-4932	649	9	t.	t.	PROPN
cana-4932	649	10	le	le	PROPN
cana-4932	649	11	,	,	PUNCT
cana-4932	649	12	and	and	CCONJ
cana-4932	649	13	b.	b.	PROPN
cana-4932	649	14	m.	m.	PROPN
cana-4932	649	15	lee	lee	PROPN
cana-4932	649	16	,	,	PUNCT
cana-4932	649	17	"	"	PUNCT
cana-4932	649	18	noma	noma	PROPN
cana-4932	649	19	in	in	ADP
cana-4932	649	20	cooperative	cooperative	ADJ
cana-4932	649	21	underlay	underlay	NOUN
cana-4932	649	22	cognitive	cognitive	ADJ
cana-4932	649	23	radio	radio	NOUN
cana-4932	649	24	networks	network	NOUN
cana-4932	649	25	under	under	ADP
cana-4932	649	26	imperfect	imperfect	ADJ
cana-4932	649	27	sic	sic	ADJ
cana-4932	649	28	,	,	PUNCT
cana-4932	649	29	"	"	PUNCT
cana-4932	649	30	ieee	ieee	NOUN
cana-4932	649	31	access	access	NOUN
cana-4932	649	32	,	,	PUNCT
cana-4932	649	33	vol	vol	NOUN
cana-4932	649	34	.	.	PROPN
cana-4932	649	35	8	8	NUM
cana-4932	649	36	,	,	PUNCT
cana-4932	649	37	pp	pp	ADJ
cana-4932	649	38	.	.	PUNCT
cana-4932	649	39	86180	86180	NUM
cana-4932	649	40	-	-	SYM
cana-4932	649	41	86195	86195	NUM
cana-4932	649	42	,	,	PUNCT
cana-4932	649	43	2020	2020	NUM
cana-4932	649	44	,	,	PUNCT
cana-4932	649	45	doi	doi	NOUN
cana-4932	649	46	:	:	PUNCT
cana-4932	649	47	10.1109	10.1109	NUM
cana-4932	649	48	/	/	SYM
cana-4932	649	49	access.2020.2992660	access.2020.2992660	NOUN
cana-4932	649	50	.	.	PUNCT
cana-4932	650	1	[	[	X
cana-4932	650	2	57	57	NUM
cana-4932	650	3	]	]	X
cana-4932	650	4	o.	o.	PROPN
cana-4932	650	5	el	el	PROPN
cana-4932	650	6	ayach	ayach	PROPN
cana-4932	650	7	,	,	PUNCT
cana-4932	650	8	s.	s.	PROPN
cana-4932	650	9	rajagopal	rajagopal	PROPN
cana-4932	650	10	,	,	PUNCT
cana-4932	650	11	s.	s.	PROPN
cana-4932	650	12	abu	abu	PROPN
cana-4932	650	13	-	-	PUNCT
cana-4932	650	14	surra	surra	PROPN
cana-4932	650	15	,	,	PUNCT
cana-4932	650	16	z.	z.	PROPN
cana-4932	650	17	pi	pi	PROPN
cana-4932	650	18	,	,	PUNCT
cana-4932	650	19	and	and	CCONJ
cana-4932	650	20	r.	r.	PROPN
cana-4932	650	21	w.	w.	PROPN
cana-4932	650	22	heath	heath	PROPN
cana-4932	650	23	,	,	PUNCT
cana-4932	650	24	"	"	PUNCT
cana-4932	650	25	spatially	spatially	ADV
cana-4932	650	26	sparse	sparse	ADJ
cana-4932	650	27	precoding	precoding	NOUN
cana-4932	650	28	in	in	ADP
cana-4932	650	29	millimeter	millimeter	NOUN
cana-4932	650	30	wave	wave	PROPN
cana-4932	650	31	mimo	mimo	PROPN
cana-4932	650	32	systems	systems	PROPN
cana-4932	650	33	,	,	PUNCT
cana-4932	650	34	"	"	PUNCT
cana-4932	650	35	ieee	ieee	NOUN
cana-4932	650	36	transactions	transaction	NOUN
cana-4932	650	37	on	on	ADP
cana-4932	650	38	wireless	wireless	ADJ
cana-4932	650	39	communications	communication	NOUN
cana-4932	650	40	,	,	PUNCT
cana-4932	650	41	vol	vol	NOUN
cana-4932	650	42	.	.	PROPN
cana-4932	650	43	13	13	NUM
cana-4932	650	44	,	,	PUNCT
cana-4932	650	45	no	no	INTJ
cana-4932	650	46	.	.	NOUN
cana-4932	650	47	3	3	NUM
cana-4932	650	48	,	,	PUNCT
cana-4932	650	49	pp	pp	ADJ
cana-4932	650	50	.	.	PUNCT
cana-4932	651	1	1499	1499	NUM
cana-4932	651	2	-	-	SYM
cana-4932	651	3	1513	1513	NUM
cana-4932	651	4	,	,	PUNCT
cana-4932	651	5	2014	2014	NUM
cana-4932	651	6	.	.	PUNCT
cana-4932	652	1	communications	communication	NOUN
cana-4932	652	2	on	on	ADP
cana-4932	652	3	applied	apply	VERB
cana-4932	652	4	nonlinear	nonlinear	ADJ
cana-4932	652	5	analysis	analysis	NOUN
cana-4932	652	6	issn	issn	NOUN
cana-4932	652	7	:	:	PUNCT
cana-4932	652	8	1074	1074	NUM
cana-4932	652	9	-	-	PUNCT
cana-4932	652	10	133x	133x	NUM
cana-4932	652	11	vol	vol	VERB
cana-4932	652	12	32	32	NUM
cana-4932	652	13	no	no	NOUN
cana-4932	652	14	.	.	PUNCT
cana-4932	653	1	10s	10	NOUN
cana-4932	653	2	(	(	PUNCT
cana-4932	653	3	2025	2025	NUM
cana-4932	653	4	)	)	PUNCT
cana-4932	653	5	1009	1009	NUM
cana-4932	653	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4932	654	1	[	[	X
cana-4932	654	2	58	58	NUM
cana-4932	654	3	]	]	PUNCT
cana-4932	654	4	x.	x.	PROPN
cana-4932	654	5	gao	gao	PROPN
cana-4932	654	6	,	,	PUNCT
cana-4932	654	7	l.	l.	PROPN
cana-4932	654	8	dai	dai	PROPN
cana-4932	654	9	,	,	PUNCT
cana-4932	654	10	s.	s.	PROPN
cana-4932	654	11	han	han	PROPN
cana-4932	654	12	,	,	PUNCT
cana-4932	654	13	i.	i.	PROPN
cana-4932	654	14	chih	chih	PROPN
cana-4932	654	15	-	-	PUNCT
cana-4932	654	16	lin	lin	PROPN
cana-4932	654	17	,	,	PUNCT
cana-4932	654	18	and	and	CCONJ
cana-4932	654	19	r.	r.	PROPN
cana-4932	654	20	w.	w.	PROPN
cana-4932	654	21	heath	heath	PROPN
cana-4932	654	22	,	,	PUNCT
cana-4932	654	23	"	"	PUNCT
cana-4932	654	24	energy	energy	NOUN
cana-4932	654	25	-	-	PUNCT
cana-4932	654	26	efficient	efficient	ADJ
cana-4932	654	27	hybrid	hybrid	NOUN
cana-4932	654	28	analog	analog	NOUN
cana-4932	654	29	and	and	CCONJ
cana-4932	654	30	digital	digital	ADJ
cana-4932	654	31	precoding	precoding	NOUN
cana-4932	654	32	for	for	ADP
cana-4932	654	33	mmwave	mmwave	PROPN
cana-4932	654	34	mimo	mimo	PROPN
cana-4932	654	35	systems	system	NOUN
cana-4932	654	36	with	with	ADP
cana-4932	654	37	large	large	ADJ
cana-4932	654	38	antenna	antenna	NOUN
cana-4932	654	39	arrays	array	VERB
cana-4932	654	40	,	,	PUNCT
cana-4932	654	41	"	"	PUNCT
cana-4932	654	42	ieee	ieee	NOUN
cana-4932	654	43	journal	journal	NOUN
cana-4932	654	44	on	on	ADP
cana-4932	654	45	selected	select	VERB
cana-4932	654	46	areas	area	NOUN
cana-4932	654	47	in	in	ADP
cana-4932	654	48	communications	communication	NOUN
cana-4932	654	49	,	,	PUNCT
cana-4932	654	50	vol	vol	NOUN
cana-4932	654	51	.	.	PROPN
cana-4932	655	1	34	34	NUM
cana-4932	655	2	,	,	PUNCT
cana-4932	655	3	no	no	INTJ
cana-4932	655	4	.	.	NOUN
cana-4932	655	5	4	4	NUM
cana-4932	655	6	,	,	PUNCT
cana-4932	655	7	pp	pp	ADJ
cana-4932	655	8	.	.	PUNCT
cana-4932	656	1	998	998	NUM
cana-4932	656	2	-	-	SYM
cana-4932	656	3	1009	1009	NUM
cana-4932	656	4	,	,	PUNCT
cana-4932	656	5	2016	2016	NUM
cana-4932	656	6	.	.	PUNCT
cana-4932	657	1	[	[	X
cana-4932	657	2	59	59	NUM
cana-4932	657	3	]	]	PUNCT
cana-4932	657	4	l.	l.	PROPN
cana-4932	657	5	dai	dai	PROPN
cana-4932	657	6	,	,	PUNCT
cana-4932	657	7	b.	b.	PROPN
cana-4932	657	8	wang	wang	PROPN
cana-4932	657	9	,	,	PUNCT
cana-4932	657	10	z.	z.	PROPN
cana-4932	657	11	ding	ding	PROPN
cana-4932	657	12	,	,	PUNCT
cana-4932	657	13	z.	z.	PROPN
cana-4932	657	14	wang	wang	PROPN
cana-4932	657	15	,	,	PUNCT
cana-4932	657	16	s.	s.	PROPN
cana-4932	657	17	chen	chen	PROPN
cana-4932	657	18	,	,	PUNCT
cana-4932	657	19	and	and	CCONJ
cana-4932	657	20	l.	l.	PROPN
cana-4932	657	21	hanzo	hanzo	PROPN
cana-4932	657	22	,	,	PUNCT
cana-4932	657	23	"	"	PUNCT
cana-4932	657	24	a	a	DET
cana-4932	657	25	survey	survey	NOUN
cana-4932	657	26	of	of	ADP
cana-4932	657	27	non	non	ADJ
cana-4932	657	28	-	-	ADJ
cana-4932	657	29	orthogonal	orthogonal	ADJ
cana-4932	657	30	multiple	multiple	ADJ
cana-4932	657	31	access	access	NOUN
cana-4932	657	32	for	for	ADP
cana-4932	657	33	5	5	NUM
cana-4932	657	34	g	g	NOUN
cana-4932	657	35	,	,	PUNCT
cana-4932	657	36	"	"	PUNCT
cana-4932	657	37	ieee	ieee	NOUN
cana-4932	657	38	communications	communication	NOUN
cana-4932	657	39	surveys	survey	NOUN
cana-4932	657	40	&	&	CCONJ
cana-4932	657	41	tutorials	tutorial	NOUN
cana-4932	657	42	,	,	PUNCT
cana-4932	657	43	vol	vol	NOUN
cana-4932	657	44	.	.	PROPN
cana-4932	657	45	20	20	NUM
cana-4932	657	46	,	,	PUNCT
cana-4932	657	47	no	no	INTJ
cana-4932	657	48	.	.	NOUN
cana-4932	657	49	3	3	NUM
cana-4932	657	50	,	,	PUNCT
cana-4932	657	51	pp	pp	ADJ
cana-4932	657	52	.	.	PUNCT
cana-4932	658	1	2294	2294	NUM
cana-4932	658	2	-	-	SYM
cana-4932	658	3	2323	2323	NUM
cana-4932	658	4	,	,	PUNCT
cana-4932	658	5	2018	2018	NUM
cana-4932	658	6	.	.	PUNCT
cana-4932	659	1	[	[	X
cana-4932	659	2	60	60	NUM
cana-4932	659	3	]	]	PUNCT
cana-4932	659	4	j.	j.	PROPN
cana-4932	659	5	r.	r.	PROPN
cana-4932	659	6	magnus	magnus	PROPN
cana-4932	659	7	and	and	CCONJ
cana-4932	659	8	h.	h.	PROPN
cana-4932	659	9	neudecker	neudecker	PROPN
cana-4932	659	10	,	,	PUNCT
cana-4932	659	11	matrix	matrix	NOUN
cana-4932	659	12	differential	differential	NOUN
cana-4932	659	13	calculus	calculus	NOUN
cana-4932	659	14	with	with	ADP
cana-4932	659	15	applications	application	NOUN
cana-4932	659	16	in	in	ADP
cana-4932	659	17	statistics	statistic	NOUN
cana-4932	659	18	and	and	CCONJ
cana-4932	659	19	econometrics	econometric	NOUN
cana-4932	659	20	.	.	PUNCT
cana-4932	660	1	john	john	PROPN
cana-4932	660	2	wiley	wiley	PROPN
cana-4932	660	3	&	&	CCONJ
cana-4932	660	4	sons	son	NOUN
cana-4932	660	5	,	,	PUNCT
cana-4932	660	6	2019	2019	NUM
cana-4932	660	7	.	.	PUNCT
cana-4932	661	1	[	[	X
cana-4932	661	2	61	61	NUM
cana-4932	661	3	]	]	PUNCT
cana-4932	661	4	q.	q.	PROPN
cana-4932	661	5	zhang	zhang	PROPN
cana-4932	661	6	,	,	PUNCT
cana-4932	661	7	q.	q.	PROPN
cana-4932	661	8	li	li	PROPN
cana-4932	661	9	,	,	PUNCT
cana-4932	661	10	and	and	CCONJ
cana-4932	661	11	j.	j.	PROPN
cana-4932	661	12	qin	qin	PROPN
cana-4932	661	13	,	,	PUNCT
cana-4932	661	14	"	"	PUNCT
cana-4932	661	15	robust	robust	ADJ
cana-4932	661	16	beamforming	beamforming	NOUN
cana-4932	661	17	for	for	ADP
cana-4932	661	18	nonorthogonal	nonorthogonal	ADJ
cana-4932	661	19	multiple	multiple	ADJ
cana-4932	661	20	-	-	PUNCT
cana-4932	661	21	access	access	NOUN
cana-4932	661	22	systems	system	NOUN
cana-4932	661	23	in	in	ADP
cana-4932	661	24	miso	miso	NOUN
cana-4932	661	25	channels	channel	NOUN
cana-4932	661	26	,	,	PUNCT
cana-4932	661	27	"	"	PUNCT
cana-4932	661	28	ieee	ieee	NOUN
cana-4932	661	29	transactions	transaction	NOUN
cana-4932	661	30	on	on	ADP
cana-4932	661	31	vehicular	vehicular	ADJ
cana-4932	661	32	technology	technology	NOUN
cana-4932	661	33	,	,	PUNCT
cana-4932	661	34	vol	vol	NOUN
cana-4932	661	35	.	.	PROPN
cana-4932	661	36	65	65	NUM
cana-4932	661	37	,	,	PUNCT
cana-4932	661	38	no	no	INTJ
cana-4932	661	39	.	.	NOUN
cana-4932	661	40	12	12	NUM
cana-4932	661	41	,	,	PUNCT
cana-4932	661	42	pp	pp	ADJ
cana-4932	661	43	.	.	PUNCT
cana-4932	661	44	10231	10231	NUM
cana-4932	661	45	-	-	SYM
cana-4932	661	46	10236	10236	NUM
cana-4932	661	47	,	,	PUNCT
cana-4932	661	48	2016	2016	NUM
cana-4932	661	49	.	.	PUNCT
cana-4932	662	1	[	[	X
cana-4932	662	2	62	62	NUM
cana-4932	662	3	]	]	PUNCT
cana-4932	662	4	w.	w.	PROPN
cana-4932	662	5	v.	v.	PROPN
cana-4932	662	6	mauricio	mauricio	PROPN
cana-4932	662	7	,	,	PUNCT
cana-4932	662	8	d.	d.	PROPN
cana-4932	662	9	c.	c.	PROPN
cana-4932	662	10	araujo	araujo	PROPN
cana-4932	662	11	,	,	PUNCT
cana-4932	662	12	f.	f.	PROPN
cana-4932	662	13	h.	h.	PROPN
cana-4932	662	14	neto	neto	PROPN
cana-4932	662	15	,	,	PUNCT
cana-4932	662	16	f.	f.	PROPN
cana-4932	662	17	r.	r.	PROPN
cana-4932	662	18	lima	lima	PROPN
cana-4932	662	19	,	,	PUNCT
cana-4932	662	20	and	and	CCONJ
cana-4932	662	21	t.	t.	PROPN
cana-4932	662	22	f.	f.	PROPN
cana-4932	662	23	maciel	maciel	PROPN
cana-4932	662	24	,	,	PUNCT
cana-4932	662	25	"	"	PUNCT
cana-4932	662	26	a	a	DET
cana-4932	662	27	low	low	ADJ
cana-4932	662	28	complexity	complexity	NOUN
cana-4932	662	29	solution	solution	NOUN
cana-4932	662	30	for	for	ADP
cana-4932	662	31	resource	resource	NOUN
cana-4932	662	32	allocation	allocation	NOUN
cana-4932	662	33	and	and	CCONJ
cana-4932	662	34	sdma	sdma	NOUN
cana-4932	662	35	grouping	grouping	NOUN
cana-4932	662	36	in	in	ADP
cana-4932	662	37	massive	massive	ADJ
cana-4932	662	38	mimo	mimo	PROPN
cana-4932	662	39	systems	system	NOUN
cana-4932	662	40	,	,	PUNCT
cana-4932	662	41	"	"	PUNCT
cana-4932	662	42	in	in	ADP
cana-4932	662	43	2018	2018	NUM
cana-4932	662	44	15th	15th	ADJ
cana-4932	662	45	international	international	ADJ
cana-4932	662	46	symposium	symposium	NOUN
cana-4932	662	47	on	on	ADP
cana-4932	662	48	wireless	wireless	ADJ
cana-4932	662	49	communication	communication	NOUN
cana-4932	662	50	systems	system	NOUN
cana-4932	662	51	(	(	PUNCT
cana-4932	662	52	iswcs	iswcs	NOUN
cana-4932	662	53	)	)	PUNCT
cana-4932	662	54	,	,	PUNCT
cana-4932	662	55	2018	2018	NUM
cana-4932	662	56	:	:	PUNCT
cana-4932	662	57	ieee	ieee	NOUN
cana-4932	662	58	,	,	PUNCT
cana-4932	662	59	pp	pp	ADJ
cana-4932	662	60	.	.	PUNCT
cana-4932	663	1	1	1	NUM
cana-4932	663	2	-	-	SYM
cana-4932	663	3	6	6	NUM
cana-4932	663	4	.	.	PUNCT
cana-4932	664	1	[	[	X
cana-4932	664	2	63	63	NUM
cana-4932	664	3	]	]	PUNCT
cana-4932	664	4	b.	b.	PROPN
cana-4932	664	5	wang	wang	PROPN
cana-4932	664	6	,	,	PUNCT
cana-4932	664	7	l.	l.	PROPN
cana-4932	664	8	dai	dai	PROPN
cana-4932	664	9	,	,	PUNCT
cana-4932	664	10	z.	z.	PROPN
cana-4932	664	11	wang	wang	PROPN
cana-4932	664	12	,	,	PUNCT
cana-4932	664	13	n.	n.	PROPN
cana-4932	664	14	ge	ge	PROPN
cana-4932	664	15	,	,	PUNCT
cana-4932	664	16	and	and	CCONJ
cana-4932	664	17	s.	s.	PROPN
cana-4932	664	18	zhou	zhou	PROPN
cana-4932	664	19	,	,	PUNCT
cana-4932	664	20	"	"	PUNCT
cana-4932	664	21	spectrum	spectrum	NOUN
cana-4932	664	22	and	and	CCONJ
cana-4932	664	23	energy	energy	NOUN
cana-4932	664	24	-	-	PUNCT
cana-4932	664	25	efficient	efficient	ADJ
cana-4932	664	26	beamspace	beamspace	NOUN
cana-4932	664	27	mimo	mimo	PROPN
cana-4932	664	28	-	-	PUNCT
cana-4932	664	29	noma	noma	PROPN
cana-4932	664	30	for	for	ADP
cana-4932	664	31	millimeter	millimeter	NOUN
cana-4932	664	32	-	-	PUNCT
cana-4932	664	33	wave	wave	NOUN
cana-4932	664	34	communications	communication	NOUN
cana-4932	664	35	using	use	VERB
cana-4932	664	36	lens	lens	NOUN
cana-4932	664	37	antenna	antenna	NOUN
cana-4932	664	38	array	array	NOUN
cana-4932	664	39	,	,	PUNCT
cana-4932	664	40	"	"	PUNCT
cana-4932	664	41	ieee	ieee	NOUN
cana-4932	664	42	journal	journal	NOUN
cana-4932	664	43	on	on	ADP
cana-4932	664	44	selected	select	VERB
cana-4932	664	45	areas	area	NOUN
cana-4932	664	46	in	in	ADP
cana-4932	664	47	communications	communication	NOUN
cana-4932	664	48	,	,	PUNCT
cana-4932	664	49	vol	vol	NOUN
cana-4932	664	50	.	.	PROPN
cana-4932	664	51	35	35	NUM
cana-4932	664	52	,	,	PUNCT
cana-4932	664	53	no	no	INTJ
cana-4932	664	54	.	.	NOUN
cana-4932	664	55	10	10	NUM
cana-4932	664	56	,	,	PUNCT
cana-4932	664	57	pp	pp	ADJ
cana-4932	664	58	.	.	PUNCT
cana-4932	665	1	2370	2370	NUM
cana-4932	665	2	-	-	SYM
cana-4932	665	3	2382	2382	NUM
cana-4932	665	4	,	,	PUNCT
cana-4932	665	5	2017	2017	NUM
cana-4932	665	6	.	.	PUNCT
cana-4932	666	1	[	[	X
cana-4932	666	2	64	64	NUM
cana-4932	666	3	]	]	PUNCT
cana-4932	666	4	w.	w.	PROPN
cana-4932	666	5	yuan	yuan	PROPN
cana-4932	666	6	,	,	PUNCT
cana-4932	666	7	v.	v.	PROPN
cana-4932	666	8	kalokidou	kalokidou	PROPN
cana-4932	666	9	,	,	PUNCT
cana-4932	666	10	s.	s.	PROPN
cana-4932	666	11	m.	m.	PROPN
cana-4932	666	12	armour	armour	PROPN
cana-4932	666	13	,	,	PUNCT
cana-4932	666	14	a.	a.	NOUN
cana-4932	666	15	doufexi	doufexi	NOUN
cana-4932	666	16	,	,	PUNCT
cana-4932	666	17	and	and	CCONJ
cana-4932	666	18	m.	m.	NOUN
cana-4932	666	19	a.	a.	PROPN
cana-4932	666	20	beach	beach	PROPN
cana-4932	666	21	,	,	PUNCT
cana-4932	666	22	"	"	PUNCT
cana-4932	666	23	application	application	NOUN
cana-4932	666	24	of	of	ADP
cana-4932	666	25	nonorthogonal	nonorthogonal	ADJ
cana-4932	666	26	multiplexing	multiplexing	NOUN
cana-4932	666	27	to	to	PART
cana-4932	666	28	mmwave	mmwave	VERB
cana-4932	666	29	multi	multi	ADJ
cana-4932	666	30	-	-	NOUN
cana-4932	666	31	user	user	NOUN
cana-4932	666	32	systems	system	NOUN
cana-4932	666	33	,	,	PUNCT
cana-4932	666	34	"	"	PUNCT
cana-4932	666	35	in	in	ADP
cana-4932	666	36	2017	2017	NUM
cana-4932	666	37	ieee	ieee	NOUN
cana-4932	666	38	85th	85th	ADJ
cana-4932	666	39	vehicular	vehicular	ADJ
cana-4932	666	40	technology	technology	NOUN
cana-4932	666	41	conference	conference	NOUN
cana-4932	666	42	(	(	PUNCT
cana-4932	666	43	vtc	vtc	PROPN
cana-4932	666	44	spring	spring	PROPN
cana-4932	666	45	)	)	PUNCT
cana-4932	666	46	,	,	PUNCT
cana-4932	666	47	2017	2017	NUM
cana-4932	666	48	:	:	PUNCT
cana-4932	666	49	ieee	ieee	NOUN
cana-4932	666	50	,	,	PUNCT
cana-4932	666	51	pp	pp	ADJ
cana-4932	666	52	.	.	PUNCT
cana-4932	667	1	1	1	NUM
cana-4932	667	2	-	-	SYM
cana-4932	667	3	6	6	NUM
cana-4932	667	4	.	.	PUNCT