id	sid	tid	token	lemma	pos
ap-1438	1	1	ap-5-11.dvi	ap-5-11.dvi	PROPN
ap-1438	1	2	acta	acta	PROPN
ap-1438	1	3	polytechnica	polytechnica	PROPN
ap-1438	1	4	vol	vol	NOUN
ap-1438	1	5	.	.	PUNCT
ap-1438	2	1	51	51	NUM
ap-1438	2	2	no	no	NOUN
ap-1438	2	3	.	.	PUNCT
ap-1438	3	1	5/2011	5/2011	NUM
ap-1438	3	2	numerically	numerically	ADV
ap-1438	3	3	optimized	optimize	VERB
ap-1438	3	4	uniformly	uniformly	ADV
ap-1438	3	5	most	most	ADV
ap-1438	3	6	powerful	powerful	ADJ
ap-1438	3	7	alphabets	alphabet	NOUN
ap-1438	3	8	for	for	ADP
ap-1438	3	9	hierarchical	hierarchical	ADJ
ap-1438	3	10	-	-	PUNCT
ap-1438	3	11	decode	decode	VERB
ap-1438	3	12	-	-	PUNCT
ap-1438	3	13	and	and	CCONJ
ap-1438	3	14	-	-	PUNCT
ap-1438	3	15	forward	forward	NOUN
ap-1438	3	16	two	two	NUM
ap-1438	3	17	-	-	PUNCT
ap-1438	3	18	way	way	NOUN
ap-1438	3	19	relaying	relaying	NOUN
ap-1438	3	20	m.	m.	NOUN
ap-1438	3	21	hekrdla	hekrdla	NOUN
ap-1438	3	22	abstract	abstract	NOUN
ap-1438	3	23	we	we	PRON
ap-1438	3	24	address	address	VERB
ap-1438	3	25	the	the	DET
ap-1438	3	26	issue	issue	NOUN
ap-1438	3	27	of	of	ADP
ap-1438	3	28	the	the	DET
ap-1438	3	29	parametric	parametric	ADJ
ap-1438	3	30	performance	performance	NOUN
ap-1438	3	31	of	of	ADP
ap-1438	3	32	the	the	DET
ap-1438	3	33	hierarchical	hierarchical	ADJ
ap-1438	3	34	-	-	PUNCT
ap-1438	3	35	decode	decode	NOUN
ap-1438	3	36	-	-	PUNCT
ap-1438	3	37	and	and	CCONJ
ap-1438	3	38	-	-	PUNCT
ap-1438	3	39	forward	forward	NOUN
ap-1438	3	40	(	(	PUNCT
ap-1438	3	41	hdf	hdf	NOUN
ap-1438	3	42	)	)	PUNCT
ap-1438	3	43	strategy	strategy	NOUN
ap-1438	3	44	in	in	ADP
ap-1438	3	45	a	a	DET
ap-1438	3	46	wireless	wireless	ADJ
ap-1438	3	47	2	2	NUM
ap-1438	3	48	-	-	PUNCT
ap-1438	3	49	way	way	NOUN
ap-1438	3	50	relay	relay	NOUN
ap-1438	3	51	channel	channel	NOUN
ap-1438	3	52	.	.	PUNCT
ap-1438	4	1	promising	promise	VERB
ap-1438	4	2	hdf	hdf	PROPN
ap-1438	4	3	,	,	PUNCT
ap-1438	4	4	representing	represent	VERB
ap-1438	4	5	the	the	DET
ap-1438	4	6	concept	concept	NOUN
ap-1438	4	7	of	of	ADP
ap-1438	4	8	wireless	wireless	ADJ
ap-1438	4	9	network	network	NOUN
ap-1438	4	10	coding	coding	NOUN
ap-1438	4	11	,	,	PUNCT
ap-1438	4	12	performs	perform	VERB
ap-1438	4	13	well	well	ADV
ap-1438	4	14	with	with	ADP
ap-1438	4	15	a	a	DET
ap-1438	4	16	pre	pre	ADJ
ap-1438	4	17	-	-	ADJ
ap-1438	4	18	coding	coding	ADJ
ap-1438	4	19	strategy	strategy	NOUN
ap-1438	4	20	that	that	PRON
ap-1438	4	21	requires	require	VERB
ap-1438	4	22	channel	channel	NOUN
ap-1438	4	23	state	state	NOUN
ap-1438	4	24	information	information	NOUN
ap-1438	4	25	(	(	PUNCT
ap-1438	4	26	csi	csi	PROPN
ap-1438	4	27	)	)	PUNCT
ap-1438	4	28	on	on	ADP
ap-1438	4	29	the	the	DET
ap-1438	4	30	transceiver	transceiver	NOUN
ap-1438	4	31	side	side	NOUN
ap-1438	4	32	.	.	PUNCT
ap-1438	5	1	assuming	assume	VERB
ap-1438	5	2	a	a	DET
ap-1438	5	3	practical	practical	ADJ
ap-1438	5	4	case	case	NOUN
ap-1438	5	5	when	when	SCONJ
ap-1438	5	6	csi	csi	PROPN
ap-1438	5	7	is	be	AUX
ap-1438	5	8	available	available	ADJ
ap-1438	5	9	only	only	ADV
ap-1438	5	10	on	on	ADP
ap-1438	5	11	the	the	DET
ap-1438	5	12	receiver	receiver	ADJ
ap-1438	5	13	side	side	NOUN
ap-1438	5	14	and	and	CCONJ
ap-1438	5	15	the	the	DET
ap-1438	5	16	channel	channel	NOUN
ap-1438	5	17	conditions	condition	NOUN
ap-1438	5	18	do	do	AUX
ap-1438	5	19	not	not	PART
ap-1438	5	20	allow	allow	VERB
ap-1438	5	21	adaptive	adaptive	ADJ
ap-1438	5	22	strategies	strategy	NOUN
ap-1438	5	23	,	,	PUNCT
ap-1438	5	24	the	the	DET
ap-1438	5	25	parametrization	parametrization	NOUN
ap-1438	5	26	causes	cause	VERB
ap-1438	5	27	significant	significant	ADJ
ap-1438	5	28	hdf	hdf	NOUN
ap-1438	5	29	performance	performance	NOUN
ap-1438	5	30	degradation	degradation	NOUN
ap-1438	5	31	for	for	ADP
ap-1438	5	32	some	some	DET
ap-1438	5	33	modulation	modulation	NOUN
ap-1438	5	34	alphabets	alphabet	NOUN
ap-1438	5	35	.	.	PUNCT
ap-1438	6	1	alphabets	alphabet	NOUN
ap-1438	6	2	that	that	PRON
ap-1438	6	3	are	be	AUX
ap-1438	6	4	robust	robust	ADJ
ap-1438	6	5	to	to	ADP
ap-1438	6	6	the	the	DET
ap-1438	6	7	parametrization	parametrization	NOUN
ap-1438	6	8	(	(	PUNCT
ap-1438	6	9	denoted	denote	VERB
ap-1438	6	10	uniformly	uniformly	ADV
ap-1438	6	11	most	most	ADV
ap-1438	6	12	powerful	powerful	ADJ
ap-1438	6	13	(	(	PUNCT
ap-1438	6	14	ump	ump	NOUN
ap-1438	6	15	)	)	PUNCT
ap-1438	6	16	)	)	PUNCT
ap-1438	6	17	have	have	AUX
ap-1438	6	18	already	already	ADV
ap-1438	6	19	been	be	AUX
ap-1438	6	20	proposed	propose	VERB
ap-1438	6	21	restricting	restrict	VERB
ap-1438	6	22	on	on	ADP
ap-1438	6	23	the	the	DET
ap-1438	6	24	class	class	NOUN
ap-1438	6	25	of	of	ADP
ap-1438	6	26	non	non	ADJ
ap-1438	6	27	-	-	ADJ
ap-1438	6	28	linear	linear	ADJ
ap-1438	6	29	multi	multi	ADJ
ap-1438	6	30	-	-	ADJ
ap-1438	6	31	dimensional	dimensional	ADJ
ap-1438	6	32	frequency	frequency	NOUN
ap-1438	6	33	modulations	modulation	NOUN
ap-1438	6	34	.	.	PUNCT
ap-1438	7	1	in	in	ADP
ap-1438	7	2	this	this	DET
ap-1438	7	3	work	work	NOUN
ap-1438	7	4	,	,	PUNCT
ap-1438	7	5	we	we	PRON
ap-1438	7	6	focus	focus	VERB
ap-1438	7	7	on	on	ADP
ap-1438	7	8	the	the	DET
ap-1438	7	9	general	general	ADJ
ap-1438	7	10	design	design	NOUN
ap-1438	7	11	of	of	ADP
ap-1438	7	12	unrestricted	unrestricted	ADJ
ap-1438	7	13	ump	ump	NOUN
ap-1438	7	14	alphabets	alphabet	NOUN
ap-1438	7	15	.	.	PUNCT
ap-1438	8	1	we	we	PRON
ap-1438	8	2	formulate	formulate	VERB
ap-1438	8	3	an	an	DET
ap-1438	8	4	optimization	optimization	NOUN
ap-1438	8	5	problem	problem	NOUN
ap-1438	8	6	which	which	PRON
ap-1438	8	7	is	be	AUX
ap-1438	8	8	solved	solve	VERB
ap-1438	8	9	by	by	ADP
ap-1438	8	10	standard	standard	ADJ
ap-1438	8	11	non	non	ADJ
ap-1438	8	12	-	-	ADJ
ap-1438	8	13	linear	linear	ADJ
ap-1438	8	14	convex	convex	NOUN
ap-1438	8	15	constrained	constrain	VERB
ap-1438	8	16	optimization	optimization	NOUN
ap-1438	8	17	algorithms	algorithm	NOUN
ap-1438	8	18	,	,	PUNCT
ap-1438	8	19	particularly	particularly	ADV
ap-1438	8	20	by	by	ADP
ap-1438	8	21	nelder	nelder	ADJ
ap-1438	8	22	-	-	PUNCT
ap-1438	8	23	mead	mead	ADJ
ap-1438	8	24	global	global	ADJ
ap-1438	8	25	optimization	optimization	NOUN
ap-1438	8	26	search	search	NOUN
ap-1438	8	27	,	,	PUNCT
ap-1438	8	28	which	which	PRON
ap-1438	8	29	is	be	AUX
ap-1438	8	30	further	far	ADV
ap-1438	8	31	refined	refine	VERB
ap-1438	8	32	by	by	ADP
ap-1438	8	33	the	the	DET
ap-1438	8	34	local	local	ADJ
ap-1438	8	35	interior	interior	ADJ
ap-1438	8	36	-	-	PUNCT
ap-1438	8	37	points	point	NOUN
ap-1438	8	38	method	method	NOUN
ap-1438	8	39	.	.	PUNCT
ap-1438	9	1	keywords	keyword	NOUN
ap-1438	9	2	:	:	PUNCT
ap-1438	9	3	wireless	wireless	ADJ
ap-1438	9	4	network	network	NOUN
ap-1438	9	5	coding	coding	NOUN
ap-1438	9	6	,	,	PUNCT
ap-1438	9	7	hierarchical	hierarchical	ADJ
ap-1438	9	8	-	-	PUNCT
ap-1438	9	9	decode	decode	VERB
ap-1438	9	10	-	-	PUNCT
ap-1438	9	11	and	and	CCONJ
ap-1438	9	12	-	-	PUNCT
ap-1438	9	13	forward	forward	ADV
ap-1438	9	14	relaying	relaying	NOUN
ap-1438	9	15	,	,	PUNCT
ap-1438	9	16	wireless	wireless	ADJ
ap-1438	9	17	two	two	NUM
ap-1438	9	18	-	-	PUNCT
ap-1438	9	19	way	way	NOUN
ap-1438	9	20	relay	relay	NOUN
ap-1438	9	21	channel	channel	NOUN
ap-1438	9	22	,	,	PUNCT
ap-1438	9	23	modulation	modulation	NOUN
ap-1438	9	24	alphabet	alphabet	PROPN
ap-1438	9	25	design	design	PROPN
ap-1438	9	26	,	,	PUNCT
ap-1438	9	27	non	non	ADJ
ap-1438	9	28	-	-	ADJ
ap-1438	9	29	linear	linear	ADJ
ap-1438	9	30	convex	convex	NOUN
ap-1438	9	31	optimization	optimization	NOUN
ap-1438	9	32	.	.	PUNCT
ap-1438	10	1	1	1	NUM
ap-1438	10	2	introduction	introduction	NOUN
ap-1438	10	3	cooperative	cooperative	ADJ
ap-1438	10	4	wireless	wireless	NOUN
ap-1438	10	5	network	network	NOUN
ap-1438	10	6	protocols	protocol	NOUN
ap-1438	10	7	which	which	PRON
ap-1438	10	8	utilize	utilize	VERB
ap-1438	10	9	network	network	NOUN
ap-1438	10	10	coding	coding	NOUN
ap-1438	10	11	in	in	ADP
ap-1438	10	12	the	the	DET
ap-1438	10	13	physical	physical	ADJ
ap-1438	10	14	layer	layer	NOUN
ap-1438	10	15	have	have	AUX
ap-1438	10	16	recently	recently	ADV
ap-1438	10	17	attracted	attract	VERB
ap-1438	10	18	strong	strong	ADJ
ap-1438	10	19	research	research	NOUN
ap-1438	10	20	interest	interest	NOUN
ap-1438	10	21	due	due	ADP
ap-1438	10	22	the	the	DET
ap-1438	10	23	significant	significant	ADJ
ap-1438	10	24	capacity	capacity	NOUN
ap-1438	10	25	gains	gain	NOUN
ap-1438	10	26	that	that	PRON
ap-1438	10	27	they	they	PRON
ap-1438	10	28	offer	offer	VERB
ap-1438	10	29	;	;	PUNCT
ap-1438	10	30	for	for	SCONJ
ap-1438	10	31	citations	citation	NOUN
ap-1438	10	32	see	see	VERB
ap-1438	10	33	[	[	X
ap-1438	10	34	1	1	X
ap-1438	10	35	]	]	PUNCT
ap-1438	10	36	and	and	CCONJ
ap-1438	10	37	the	the	DET
ap-1438	10	38	references	reference	NOUN
ap-1438	10	39	therein	therein	ADV
ap-1438	10	40	.	.	PUNCT
ap-1438	11	1	the	the	DET
ap-1438	11	2	terms	term	NOUN
ap-1438	11	3	wireless	wireless	ADJ
ap-1438	11	4	network	network	NOUN
ap-1438	11	5	coding	code	VERB
ap-1438	11	6	(	(	PUNCT
ap-1438	11	7	wnc	wnc	NOUN
ap-1438	11	8	)	)	PUNCT
ap-1438	11	9	or	or	CCONJ
ap-1438	11	10	physical	physical	ADJ
ap-1438	11	11	-	-	PUNCT
ap-1438	11	12	layer	layer	NOUN
ap-1438	11	13	network	network	NOUN
ap-1438	11	14	coding	code	VERB
ap-1438	11	15	(	(	PUNCT
ap-1438	11	16	plnc	plnc	NOUN
ap-1438	11	17	)	)	PUNCT
ap-1438	11	18	are	be	AUX
ap-1438	11	19	usually	usually	ADV
ap-1438	11	20	used	use	VERB
ap-1438	11	21	to	to	PART
ap-1438	11	22	stress	stress	VERB
ap-1438	11	23	the	the	DET
ap-1438	11	24	fact	fact	NOUN
ap-1438	11	25	that	that	SCONJ
ap-1438	11	26	operations	operation	NOUN
ap-1438	11	27	similar	similar	ADJ
ap-1438	11	28	to	to	ADP
ap-1438	11	29	network	network	NOUN
ap-1438	11	30	coding	code	VERB
ap-1438	11	31	(	(	PUNCT
ap-1438	11	32	nc	nc	PROPN
ap-1438	11	33	)	)	PUNCT
ap-1438	11	34	[	[	X
ap-1438	11	35	2	2	X
ap-1438	11	36	]	]	PUNCT
ap-1438	11	37	principles	principle	NOUN
ap-1438	11	38	are	be	AUX
ap-1438	11	39	carried	carry	VERB
ap-1438	11	40	out	out	ADP
ap-1438	11	41	in	in	ADP
ap-1438	11	42	the	the	DET
ap-1438	11	43	wireless	wireless	ADJ
ap-1438	11	44	domain	domain	NOUN
ap-1438	11	45	and	and	CCONJ
ap-1438	11	46	completely	completely	ADV
ap-1438	11	47	in	in	ADP
ap-1438	11	48	the	the	DET
ap-1438	11	49	physical	physical	ADJ
ap-1438	11	50	layer	layer	NOUN
ap-1438	11	51	.	.	PUNCT
ap-1438	12	1	even	even	ADV
ap-1438	12	2	in	in	ADP
ap-1438	12	3	a	a	DET
ap-1438	12	4	wireless	wireless	ADJ
ap-1438	12	5	2	2	NUM
ap-1438	12	6	-	-	PUNCT
ap-1438	12	7	way	way	NOUN
ap-1438	12	8	relay	relay	NOUN
ap-1438	12	9	channel	channel	NOUN
ap-1438	12	10	(	(	PUNCT
ap-1438	12	11	2	2	NUM
ap-1438	12	12	-	-	PUNCT
ap-1438	12	13	wrc	wrc	NOUN
ap-1438	12	14	)	)	PUNCT
ap-1438	12	15	,	,	PUNCT
ap-1438	12	16	which	which	PRON
ap-1438	12	17	is	be	AUX
ap-1438	12	18	the	the	DET
ap-1438	12	19	simplest	simple	ADJ
ap-1438	12	20	cooperative	cooperative	ADJ
ap-1438	12	21	network	network	NOUN
ap-1438	12	22	,	,	PUNCT
ap-1438	12	23	wnc	wnc	PROPN
ap-1438	12	24	almost	almost	ADV
ap-1438	12	25	doubles	double	VERB
ap-1438	12	26	the	the	DET
ap-1438	12	27	achievable	achievable	ADJ
ap-1438	12	28	communication	communication	NOUN
ap-1438	12	29	sum	sum	NOUN
ap-1438	12	30	-	-	PUNCT
ap-1438	12	31	rates	rate	NOUN
ap-1438	12	32	.	.	PUNCT
ap-1438	13	1	2	2	NUM
ap-1438	13	2	-	-	PUNCT
ap-1438	13	3	wrc	wrc	NOUN
ap-1438	13	4	consists	consist	VERB
ap-1438	13	5	of	of	ADP
ap-1438	13	6	two	two	NUM
ap-1438	13	7	terminals	terminal	NOUN
ap-1438	13	8	,	,	PUNCT
ap-1438	13	9	a	a	PRON
ap-1438	13	10	and	and	CCONJ
ap-1438	13	11	b	b	NOUN
ap-1438	13	12	,	,	PUNCT
ap-1438	13	13	bi	bi	NOUN
ap-1438	13	14	-	-	ADJ
ap-1438	13	15	directionally	directionally	ADV
ap-1438	13	16	communicating	communicate	VERB
ap-1438	13	17	with	with	ADP
ap-1438	13	18	a	a	DET
ap-1438	13	19	supporting	support	VERB
ap-1438	13	20	relay	relay	NOUN
ap-1438	13	21	node	node	NOUN
ap-1438	13	22	r	r	NOUN
ap-1438	13	23	in	in	ADP
ap-1438	13	24	a	a	DET
ap-1438	13	25	half	half	ADJ
ap-1438	13	26	-	-	PUNCT
ap-1438	13	27	duplex	duplex	NOUN
ap-1438	13	28	manner	manner	NOUN
ap-1438	13	29	(	(	PUNCT
ap-1438	13	30	the	the	DET
ap-1438	13	31	terminals	terminal	NOUN
ap-1438	13	32	can	can	AUX
ap-1438	13	33	not	not	PART
ap-1438	13	34	send	send	VERB
ap-1438	13	35	and	and	CCONJ
ap-1438	13	36	receive	receive	VERB
ap-1438	13	37	at	at	ADP
ap-1438	13	38	the	the	DET
ap-1438	13	39	same	same	ADJ
ap-1438	13	40	time	time	NOUN
ap-1438	13	41	)	)	PUNCT
ap-1438	13	42	.	.	PUNCT
ap-1438	14	1	in	in	ADP
ap-1438	14	2	[	[	X
ap-1438	14	3	3	3	NUM
ap-1438	14	4	]	]	PUNCT
ap-1438	14	5	and	and	CCONJ
ap-1438	14	6	[	[	X
ap-1438	14	7	4	4	NUM
ap-1438	14	8	]	]	PUNCT
ap-1438	14	9	,	,	PUNCT
ap-1438	14	10	the	the	DET
ap-1438	14	11	authors	author	NOUN
ap-1438	14	12	show	show	VERB
ap-1438	14	13	that	that	SCONJ
ap-1438	14	14	a	a	DET
ap-1438	14	15	two	two	NUM
ap-1438	14	16	-	-	PUNCT
ap-1438	14	17	stage	stage	NOUN
ap-1438	14	18	denoise	denoise	NOUN
ap-1438	14	19	-	-	PUNCT
ap-1438	14	20	and	and	CCONJ
ap-1438	14	21	-	-	PUNCT
ap-1438	14	22	forward	forward	NOUN
ap-1438	14	23	(	(	PUNCT
ap-1438	14	24	dnf)/hierarchical	dnf)/hierarchical	ADJ
ap-1438	14	25	-	-	PUNCT
ap-1438	14	26	decodeand	decodeand	NOUN
ap-1438	14	27	-	-	PUNCT
ap-1438	14	28	forward	forward	NOUN
ap-1438	14	29	(	(	PUNCT
ap-1438	14	30	hdf	hdf	PROPN
ap-1438	14	31	)	)	PUNCT
ap-1438	14	32	strategy	strategy	NOUN
ap-1438	14	33	is	be	AUX
ap-1438	14	34	very	very	ADV
ap-1438	14	35	promising	promising	ADJ
ap-1438	14	36	in	in	ADP
ap-1438	14	37	2	2	NUM
ap-1438	14	38	-	-	PUNCT
ap-1438	14	39	wrc	wrc	NOUN
ap-1438	14	40	since	since	SCONJ
ap-1438	14	41	it	it	PRON
ap-1438	14	42	can	can	AUX
ap-1438	14	43	reliably	reliably	ADV
ap-1438	14	44	operate	operate	VERB
ap-1438	14	45	outside	outside	ADP
ap-1438	14	46	the	the	DET
ap-1438	14	47	classical	classical	ADJ
ap-1438	14	48	multiple	multiple	ADJ
ap-1438	14	49	-	-	PUNCT
ap-1438	14	50	access	access	NOUN
ap-1438	14	51	(	(	PUNCT
ap-1438	14	52	mac	mac	NOUN
ap-1438	14	53	)	)	PUNCT
ap-1438	14	54	capacity	capacity	NOUN
ap-1438	14	55	region	region	NOUN
ap-1438	15	1	[	[	X
ap-1438	15	2	5	5	NUM
ap-1438	15	3	]	]	PUNCT
ap-1438	15	4	.	.	PUNCT
ap-1438	16	1	instead	instead	ADV
ap-1438	16	2	of	of	ADP
ap-1438	16	3	dnf	dnf	X
ap-1438	16	4	,	,	PUNCT
ap-1438	16	5	we	we	PRON
ap-1438	16	6	feel	feel	VERB
ap-1438	16	7	that	that	SCONJ
ap-1438	16	8	a	a	DET
ap-1438	16	9	more	more	ADV
ap-1438	16	10	generic	generic	ADJ
ap-1438	16	11	term	term	NOUN
ap-1438	16	12	hdf	hdf	NOUN
ap-1438	16	13	is	be	AUX
ap-1438	16	14	better	well	ADV
ap-1438	16	15	suited	suited	ADJ
ap-1438	16	16	,	,	PUNCT
ap-1438	16	17	especially	especially	ADV
ap-1438	16	18	for	for	ADP
ap-1438	16	19	more	more	ADV
ap-1438	16	20	complicated	complicated	ADJ
ap-1438	16	21	multi	multi	ADJ
ap-1438	16	22	-	-	ADJ
ap-1438	16	23	source	source	NOUN
ap-1438	16	24	networks	network	NOUN
ap-1438	16	25	.	.	PUNCT
ap-1438	17	1	hdf	hdf	PROPN
ap-1438	17	2	consists	consist	VERB
ap-1438	17	3	of	of	ADP
ap-1438	17	4	an	an	DET
ap-1438	17	5	mac	mac	NOUN
ap-1438	17	6	stage	stage	NOUN
ap-1438	17	7	when	when	SCONJ
ap-1438	17	8	a	a	PRON
ap-1438	17	9	and	and	CCONJ
ap-1438	17	10	b	b	NOUN
ap-1438	17	11	are	be	AUX
ap-1438	17	12	simultaneously	simultaneously	ADV
ap-1438	17	13	transmitting	transmit	VERB
ap-1438	17	14	to	to	ADP
ap-1438	17	15	the	the	DET
ap-1438	17	16	relay	relay	NOUN
ap-1438	17	17	r	r	NOUN
ap-1438	17	18	with	with	ADP
ap-1438	17	19	only	only	ADV
ap-1438	17	20	hierarchical	hierarchical	ADJ
ap-1438	17	21	(	(	PUNCT
ap-1438	17	22	exclusively	exclusively	ADV
ap-1438	17	23	coded	code	VERB
ap-1438	17	24	)	)	PUNCT
ap-1438	17	25	data	datum	NOUN
ap-1438	17	26	decoding	decoding	NOUN
ap-1438	17	27	,	,	PUNCT
ap-1438	17	28	and	and	CCONJ
ap-1438	17	29	a	a	DET
ap-1438	17	30	broadcast	broadcast	NOUN
ap-1438	17	31	(	(	PUNCT
ap-1438	17	32	bc	bc	PROPN
ap-1438	17	33	)	)	PUNCT
ap-1438	17	34	stage	stage	NOUN
ap-1438	17	35	when	when	SCONJ
ap-1438	17	36	r	r	NOUN
ap-1438	17	37	broadcasts	broadcast	VERB
ap-1438	17	38	the	the	DET
ap-1438	17	39	previously	previously	ADV
ap-1438	17	40	-	-	PUNCT
ap-1438	17	41	decoded	decode	VERB
ap-1438	17	42	hierarchical	hierarchical	ADJ
ap-1438	17	43	data	datum	NOUN
ap-1438	17	44	.	.	PUNCT
ap-1438	18	1	exclusive	exclusive	ADJ
ap-1438	18	2	operation	operation	NOUN
ap-1438	18	3	allows	allow	VERB
ap-1438	18	4	the	the	DET
ap-1438	18	5	terminals	terminal	NOUN
ap-1438	18	6	to	to	PART
ap-1438	18	7	decode	decode	VERB
ap-1438	18	8	the	the	DET
ap-1438	18	9	hierarchical	hierarchical	ADJ
ap-1438	18	10	data	datum	NOUN
ap-1438	18	11	using	use	VERB
ap-1438	18	12	their	their	PRON
ap-1438	18	13	own	own	ADJ
ap-1438	18	14	data	datum	NOUN
ap-1438	18	15	serving	serve	VERB
ap-1438	18	16	as	as	ADP
ap-1438	18	17	complementary	complementary	ADJ
ap-1438	18	18	-	-	PUNCT
ap-1438	18	19	side	side	NOUN
ap-1438	18	20	information	information	NOUN
ap-1438	18	21	(	(	PUNCT
ap-1438	18	22	c	c	NOUN
ap-1438	18	23	-	-	PUNCT
ap-1438	18	24	si	si	NOUN
ap-1438	18	25	)	)	PUNCT
ap-1438	19	1	[	[	X
ap-1438	19	2	6	6	NUM
ap-1438	19	3	]	]	PUNCT
ap-1438	19	4	.	.	PUNCT
ap-1438	20	1	assuming	assume	VERB
ap-1438	20	2	canonical	canonical	ADJ
ap-1438	20	3	linear	linear	NOUN
ap-1438	20	4	(	(	PUNCT
ap-1438	20	5	one	one	NUM
ap-1438	20	6	complex	complex	ADJ
ap-1438	20	7	dimension	dimension	NOUN
ap-1438	20	8	;	;	PUNCT
ap-1438	20	9	psk	psk	PROPN
ap-1438	20	10	,	,	PUNCT
ap-1438	20	11	ask	ask	NOUN
ap-1438	20	12	,	,	PUNCT
ap-1438	20	13	qam	qam	PROPN
ap-1438	20	14	)	)	PUNCT
ap-1438	20	15	modulation	modulation	NOUN
ap-1438	20	16	alphabets	alphabet	NOUN
ap-1438	20	17	,	,	PUNCT
ap-1438	20	18	hdf	hdf	PROPN
ap-1438	20	19	strategy	strategy	NOUN
ap-1438	20	20	suffers	suffer	VERB
ap-1438	20	21	from	from	ADP
ap-1438	20	22	unavoidable	unavoidable	ADJ
ap-1438	20	23	wireless	wireless	ADJ
ap-1438	20	24	channel	channel	NOUN
ap-1438	20	25	parametrization	parametrization	NOUN
ap-1438	20	26	in	in	ADP
ap-1438	20	27	the	the	DET
ap-1438	20	28	practical	practical	ADJ
ap-1438	20	29	case	case	NOUN
ap-1438	20	30	when	when	SCONJ
ap-1438	20	31	only	only	ADV
ap-1438	20	32	channel	channel	NOUN
ap-1438	20	33	state	state	NOUN
ap-1438	20	34	information	information	NOUN
ap-1438	20	35	at	at	ADP
ap-1438	20	36	the	the	DET
ap-1438	20	37	receiver	receiver	ADJ
ap-1438	20	38	side	side	NOUN
ap-1438	20	39	(	(	PUNCT
ap-1438	20	40	csir	csir	PROPN
ap-1438	20	41	)	)	PUNCT
ap-1438	20	42	is	be	AUX
ap-1438	20	43	available	available	ADJ
ap-1438	20	44	.	.	PUNCT
ap-1438	21	1	the	the	DET
ap-1438	21	2	problem	problem	NOUN
ap-1438	21	3	of	of	ADP
ap-1438	21	4	parametrization	parametrization	NOUN
ap-1438	21	5	can	can	AUX
ap-1438	21	6	be	be	AUX
ap-1438	21	7	suppressed	suppress	VERB
ap-1438	21	8	by	by	ADP
ap-1438	21	9	adaptive	adaptive	ADJ
ap-1438	21	10	extended	extend	VERB
ap-1438	21	11	-	-	PUNCT
ap-1438	21	12	cardinality	cardinality	NOUN
ap-1438	21	13	network	network	NOUN
ap-1438	21	14	coding	code	VERB
ap-1438	22	1	[	[	X
ap-1438	22	2	7	7	NUM
ap-1438	22	3	]	]	PUNCT
ap-1438	22	4	;	;	PUNCT
ap-1438	22	5	the	the	DET
ap-1438	22	6	adaptation	adaptation	NOUN
ap-1438	22	7	requires	require	VERB
ap-1438	22	8	moderate	moderate	ADJ
ap-1438	22	9	channel	channel	NOUN
ap-1438	22	10	dynamics	dynamic	NOUN
ap-1438	22	11	,	,	PUNCT
ap-1438	22	12	and	and	CCONJ
ap-1438	22	13	it	it	PRON
ap-1438	22	14	is	be	AUX
ap-1438	22	15	sensitive	sensitive	ADJ
ap-1438	22	16	to	to	PART
ap-1438	22	17	channel	channel	NOUN
ap-1438	22	18	estimation	estimation	NOUN
ap-1438	22	19	errors	error	NOUN
ap-1438	22	20	.	.	PUNCT
ap-1438	23	1	according	accord	VERB
ap-1438	23	2	to	to	ADP
ap-1438	23	3	[	[	X
ap-1438	23	4	8	8	NUM
ap-1438	23	5	]	]	PUNCT
ap-1438	23	6	,	,	PUNCT
ap-1438	23	7	we	we	PRON
ap-1438	23	8	are	be	AUX
ap-1438	23	9	able	able	ADJ
ap-1438	23	10	to	to	PART
ap-1438	23	11	overcome	overcome	VERB
ap-1438	23	12	the	the	DET
ap-1438	23	13	parametrization	parametrization	NOUN
ap-1438	23	14	effects	effect	NOUN
ap-1438	23	15	by	by	ADP
ap-1438	23	16	proper	proper	ADJ
ap-1438	23	17	multi	multi	ADJ
ap-1438	23	18	-	-	ADJ
ap-1438	23	19	dimensional	dimensional	ADJ
ap-1438	23	20	alphabet	alphabet	NOUN
ap-1438	23	21	design	design	NOUN
ap-1438	23	22	.	.	PUNCT
ap-1438	24	1	paper	paper	NOUN
ap-1438	25	1	[	[	X
ap-1438	25	2	9	9	X
ap-1438	25	3	]	]	PUNCT
ap-1438	25	4	defined	define	VERB
ap-1438	25	5	a	a	DET
ap-1438	25	6	class	class	NOUN
ap-1438	25	7	of	of	ADP
ap-1438	25	8	uniformly	uniformly	ADV
ap-1438	25	9	most	most	ADV
ap-1438	25	10	powerful	powerful	ADJ
ap-1438	25	11	(	(	PUNCT
ap-1438	25	12	ump	ump	ADJ
ap-1438	25	13	)	)	PUNCT
ap-1438	25	14	alphabets	alphabet	NOUN
ap-1438	25	15	which	which	PRON
ap-1438	25	16	are	be	AUX
ap-1438	25	17	robust	robust	ADJ
ap-1438	25	18	to	to	ADP
ap-1438	25	19	the	the	DET
ap-1438	25	20	parametrization	parametrization	NOUN
ap-1438	25	21	.	.	PUNCT
ap-1438	26	1	it	it	PRON
ap-1438	26	2	has	have	AUX
ap-1438	26	3	been	be	AUX
ap-1438	26	4	shown	show	VERB
ap-1438	26	5	that	that	SCONJ
ap-1438	26	6	the	the	DET
ap-1438	26	7	parametrization	parametrization	NOUN
ap-1438	26	8	is	be	AUX
ap-1438	26	9	not	not	PART
ap-1438	26	10	harmful	harmful	ADJ
ap-1438	26	11	when	when	SCONJ
ap-1438	26	12	the	the	DET
ap-1438	26	13	terminals	terminal	NOUN
ap-1438	26	14	use	use	VERB
ap-1438	26	15	binary	binary	ADJ
ap-1438	26	16	alphabets	alphabet	NOUN
ap-1438	26	17	,	,	PUNCT
ap-1438	26	18	but	but	CCONJ
ap-1438	26	19	non	non	ADJ
ap-1438	26	20	-	-	ADJ
ap-1438	26	21	binary	binary	ADJ
ap-1438	26	22	linear	linear	NOUN
ap-1438	26	23	alphabets	alphabet	NOUN
ap-1438	26	24	always	always	ADV
ap-1438	26	25	suffer	suffer	VERB
ap-1438	26	26	from	from	ADP
ap-1438	26	27	this	this	DET
ap-1438	26	28	effect	effect	NOUN
ap-1438	26	29	.	.	PUNCT
ap-1438	27	1	in	in	ADP
ap-1438	27	2	this	this	DET
ap-1438	27	3	case	case	NOUN
ap-1438	27	4	,	,	PUNCT
ap-1438	27	5	more	more	ADJ
ap-1438	27	6	dimensions	dimension	NOUN
ap-1438	27	7	need	need	VERB
ap-1438	27	8	to	to	PART
ap-1438	27	9	be	be	AUX
ap-1438	27	10	accommodated	accommodate	VERB
ap-1438	27	11	to	to	PART
ap-1438	27	12	meet	meet	VERB
ap-1438	27	13	the	the	DET
ap-1438	27	14	ump	ump	NOUN
ap-1438	27	15	condition	condition	NOUN
ap-1438	27	16	.	.	PUNCT
ap-1438	28	1	paper	paper	NOUN
ap-1438	29	1	[	[	X
ap-1438	29	2	9	9	NUM
ap-1438	29	3	]	]	PUNCT
ap-1438	29	4	exploits	exploit	VERB
ap-1438	29	5	additional	additional	ADJ
ap-1438	29	6	dimensions	dimension	NOUN
ap-1438	29	7	of	of	ADP
ap-1438	29	8	non	non	ADJ
ap-1438	29	9	-	-	ADJ
ap-1438	29	10	linear	linear	ADJ
ap-1438	29	11	multi	multi	ADJ
ap-1438	29	12	-	-	ADJ
ap-1438	29	13	dimensional	dimensional	ADJ
ap-1438	29	14	frequency	frequency	NOUN
ap-1438	29	15	alphabets	alphabet	NOUN
ap-1438	29	16	to	to	PART
ap-1438	29	17	fulfill	fulfill	VERB
ap-1438	29	18	the	the	DET
ap-1438	29	19	ump	ump	NOUN
ap-1438	29	20	condition	condition	NOUN
ap-1438	29	21	.	.	PUNCT
ap-1438	30	1	in	in	ADP
ap-1438	30	2	this	this	DET
ap-1438	30	3	paper	paper	NOUN
ap-1438	30	4	,	,	PUNCT
ap-1438	30	5	we	we	PRON
ap-1438	30	6	study	study	VERB
ap-1438	30	7	the	the	DET
ap-1438	30	8	design	design	NOUN
ap-1438	30	9	of	of	ADP
ap-1438	30	10	unrestricted	unrestricted	ADJ
ap-1438	30	11	multi	multi	ADJ
ap-1438	30	12	-	-	ADJ
ap-1438	30	13	dimensional	dimensional	ADJ
ap-1438	30	14	ump	ump	NOUN
ap-1438	30	15	alphabets	alphabet	NOUN
ap-1438	30	16	.	.	PUNCT
ap-1438	31	1	we	we	PRON
ap-1438	31	2	reformulate	reformulate	VERB
ap-1438	31	3	the	the	DET
ap-1438	31	4	ump	ump	PROPN
ap-1438	31	5	alphabet	alphabet	NOUN
ap-1438	31	6	design	design	NOUN
ap-1438	31	7	as	as	ADP
ap-1438	31	8	a	a	DET
ap-1438	31	9	complex	complex	ADJ
ap-1438	31	10	optimization	optimization	NOUN
ap-1438	31	11	problem	problem	NOUN
ap-1438	31	12	(	(	PUNCT
ap-1438	31	13	maximizing	maximize	VERB
ap-1438	31	14	the	the	DET
ap-1438	31	15	minimal	minimal	ADJ
ap-1438	31	16	euclidean	euclidean	ADJ
ap-1438	31	17	distance	distance	NOUN
ap-1438	31	18	constrained	constrain	VERB
ap-1438	31	19	by	by	ADP
ap-1438	31	20	the	the	DET
ap-1438	31	21	ump	ump	NOUN
ap-1438	31	22	condition	condition	NOUN
ap-1438	31	23	and	and	CCONJ
ap-1438	31	24	a	a	DET
ap-1438	31	25	unit	unit	NOUN
ap-1438	31	26	mean	mean	VERB
ap-1438	31	27	symbol	symbol	NOUN
ap-1438	31	28	energy	energy	NOUN
ap-1438	31	29	constraint	constraint	NOUN
ap-1438	31	30	)	)	PUNCT
ap-1438	31	31	which	which	PRON
ap-1438	31	32	is	be	AUX
ap-1438	31	33	to	to	PART
ap-1438	31	34	be	be	AUX
ap-1438	31	35	solved	solve	VERB
ap-1438	31	36	by	by	ADP
ap-1438	31	37	standard	standard	ADJ
ap-1438	31	38	non	non	ADJ
ap-1438	31	39	-	-	ADJ
ap-1438	31	40	linear	linear	ADJ
ap-1438	31	41	convex	convex	NOUN
ap-1438	31	42	constrained	constrain	VERB
ap-1438	31	43	optimization	optimization	NOUN
ap-1438	31	44	algorithms	algorithm	NOUN
ap-1438	31	45	,	,	PUNCT
ap-1438	31	46	particularly	particularly	ADV
ap-1438	31	47	by	by	ADP
ap-1438	31	48	nelder	nelder	ADJ
ap-1438	31	49	-	-	PUNCT
ap-1438	31	50	mead	mead	NOUN
ap-1438	31	51	global	global	ADJ
ap-1438	31	52	opti53	opti53	PROPN
ap-1438	31	53	acta	acta	PROPN
ap-1438	31	54	polytechnica	polytechnica	PROPN
ap-1438	31	55	vol	vol	NOUN
ap-1438	31	56	.	.	PUNCT
ap-1438	32	1	51	51	NUM
ap-1438	32	2	no	no	NOUN
ap-1438	32	3	.	.	PUNCT
ap-1438	33	1	5/2011	5/2011	NUM
ap-1438	33	2	mization	mization	NOUN
ap-1438	33	3	search	search	NOUN
ap-1438	33	4	,	,	PUNCT
ap-1438	33	5	which	which	PRON
ap-1438	33	6	is	be	AUX
ap-1438	33	7	further	far	ADV
ap-1438	33	8	refined	refine	VERB
ap-1438	33	9	by	by	ADP
ap-1438	33	10	the	the	DET
ap-1438	33	11	local	local	ADJ
ap-1438	33	12	interior	interior	ADJ
ap-1438	33	13	-	-	PUNCT
ap-1438	33	14	points	point	NOUN
ap-1438	33	15	method	method	NOUN
ap-1438	33	16	[	[	X
ap-1438	33	17	10	10	NUM
ap-1438	33	18	]	]	PUNCT
ap-1438	33	19	.	.	PUNCT
ap-1438	34	1	the	the	DET
ap-1438	34	2	results	result	NOUN
ap-1438	34	3	are	be	AUX
ap-1438	34	4	presented	present	VERB
ap-1438	34	5	in	in	ADP
ap-1438	34	6	table	table	NOUN
ap-1438	34	7	1	1	NUM
ap-1438	34	8	,	,	PUNCT
ap-1438	34	9	and	and	CCONJ
ap-1438	34	10	the	the	DET
ap-1438	34	11	relevant	relevant	ADJ
ap-1438	34	12	error	error	NOUN
ap-1438	34	13	performance	performance	NOUN
ap-1438	34	14	is	be	AUX
ap-1438	34	15	presented	present	VERB
ap-1438	34	16	in	in	ADP
ap-1438	34	17	sec	sec	PROPN
ap-1438	34	18	.	.	PROPN
ap-1438	34	19	4	4	NUM
ap-1438	34	20	.	.	SYM
ap-1438	34	21	2	2	NUM
ap-1438	34	22	system	system	NOUN
ap-1438	34	23	model	model	NOUN
ap-1438	34	24	2.1	2.1	NUM
ap-1438	34	25	signal	signal	NOUN
ap-1438	34	26	space	space	NOUN
ap-1438	34	27	description	description	NOUN
ap-1438	34	28	and	and	CCONJ
ap-1438	34	29	used	use	VERB
ap-1438	34	30	notation	notation	NOUN
ap-1438	34	31	let	let	VERB
ap-1438	34	32	symbol	symbol	NOUN
ap-1438	34	33	at	at	AUX
ap-1438	34	34	be	be	AUX
ap-1438	34	35	a	a	DET
ap-1438	34	36	modulation	modulation	NOUN
ap-1438	34	37	alphabet	alphabet	NOUN
ap-1438	34	38	at	at	ADP
ap-1438	34	39	the	the	DET
ap-1438	34	40	terminal	terminal	PROPN
ap-1438	34	41	t	t	PROPN
ap-1438	34	42	∈	∈	PROPN
ap-1438	34	43	{	{	PUNCT
ap-1438	34	44	a	a	PRON
ap-1438	34	45	,	,	PUNCT
ap-1438	34	46	b}.we	b}.we	NOUN
ap-1438	34	47	distinguish	distinguish	VERB
ap-1438	34	48	two	two	NUM
ap-1438	34	49	cases	case	NOUN
ap-1438	34	50	:	:	PUNCT
ap-1438	34	51	a	a	X
ap-1438	34	52	)	)	PUNCT
ap-1438	34	53	both	both	DET
ap-1438	34	54	terminals	terminal	NOUN
ap-1438	34	55	use	use	VERB
ap-1438	34	56	the	the	DET
ap-1438	34	57	same	same	ADJ
ap-1438	34	58	alphabets	alphabet	NOUN
ap-1438	34	59	aa	aa	NOUN
ap-1438	34	60	=	=	PUNCT
ap-1438	34	61	ab	ab	PROPN
ap-1438	34	62	or	or	CCONJ
ap-1438	34	63	b	b	X
ap-1438	34	64	)	)	PUNCT
ap-1438	34	65	the	the	DET
ap-1438	34	66	alphabets	alphabet	NOUN
ap-1438	34	67	are	be	AUX
ap-1438	34	68	assumed	assume	VERB
ap-1438	34	69	to	to	PART
ap-1438	34	70	be	be	AUX
ap-1438	34	71	unequal	unequal	ADJ
ap-1438	35	1	aa	aa	PROPN
ap-1438	35	2	�	�	PROPN
ap-1438	35	3	=	=	SYM
ap-1438	35	4	ab	ab	PROPN
ap-1438	35	5	.	.	PUNCT
ap-1438	36	1	we	we	PRON
ap-1438	36	2	assume	assume	VERB
ap-1438	36	3	that	that	SCONJ
ap-1438	36	4	both	both	DET
ap-1438	36	5	terminals	terminal	NOUN
ap-1438	36	6	have	have	VERB
ap-1438	36	7	the	the	DET
ap-1438	36	8	same	same	ADJ
ap-1438	36	9	alphabet	alphabet	NOUN
ap-1438	36	10	cardinality	cardinality	PROPN
ap-1438	36	11	md	md	PROPN
ap-1438	36	12	=	=	SYM
ap-1438	36	13	|aa|	|aa|	NOUN
ap-1438	36	14	=	=	NOUN
ap-1438	36	15	|ab|	|ab|	NOUN
ap-1438	36	16	to	to	PART
ap-1438	36	17	be	be	AUX
ap-1438	36	18	a	a	DET
ap-1438	36	19	power	power	NOUN
ap-1438	36	20	of	of	ADP
ap-1438	36	21	two	two	NUM
ap-1438	36	22	.	.	PUNCT
ap-1438	37	1	further	far	ADV
ap-1438	37	2	,	,	PUNCT
ap-1438	37	3	we	we	PRON
ap-1438	37	4	do	do	AUX
ap-1438	37	5	not	not	PART
ap-1438	37	6	consider	consider	VERB
ap-1438	37	7	channel	channel	NOUN
ap-1438	37	8	coding	code	VERB
ap-1438	37	9	because	because	SCONJ
ap-1438	37	10	it	it	PRON
ap-1438	37	11	can	can	AUX
ap-1438	37	12	be	be	AUX
ap-1438	37	13	serially	serially	ADV
ap-1438	37	14	concatenated	concatenate	VERB
ap-1438	37	15	with	with	ADP
ap-1438	37	16	the	the	DET
ap-1438	37	17	proposed	propose	VERB
ap-1438	37	18	alphabets	alphabet	NOUN
ap-1438	37	19	,	,	PUNCT
ap-1438	37	20	not	not	PART
ap-1438	37	21	affecting	affect	VERB
ap-1438	37	22	the	the	DET
ap-1438	37	23	results	result	NOUN
ap-1438	37	24	[	[	X
ap-1438	37	25	4	4	NUM
ap-1438	37	26	,	,	PUNCT
ap-1438	37	27	7	7	NUM
ap-1438	37	28	]	]	PUNCT
ap-1438	37	29	.	.	PUNCT
ap-1438	38	1	the	the	DET
ap-1438	38	2	modulation	modulation	NOUN
ap-1438	38	3	function	function	VERB
ap-1438	38	4	m	m	VERB
ap-1438	38	5	:	:	PUNCT
ap-1438	38	6	zmd	zmd	PROPN
ap-1438	38	7	=	=	SYM
ap-1438	38	8	{	{	PUNCT
ap-1438	38	9	0	0	NUM
ap-1438	38	10	,	,	PUNCT
ap-1438	38	11	1	1	NUM
ap-1438	38	12	,	,	PUNCT
ap-1438	38	13	.	.	PUNCT
ap-1438	38	14	.	.	PUNCT
ap-1438	39	1	.md	.md	PUNCT
ap-1438	40	1	−	−	NOUN
ap-1438	41	1	1	1	NUM
ap-1438	41	2	}	}	PUNCT
ap-1438	41	3	→	→	SYM
ap-1438	41	4	c	c	NOUN
ap-1438	41	5	ns	ns	PROPN
ap-1438	41	6	is	be	AUX
ap-1438	41	7	assumed	assume	VERB
ap-1438	41	8	to	to	PART
ap-1438	41	9	be	be	AUX
ap-1438	41	10	a	a	DET
ap-1438	41	11	memoryless	memoryless	NOUN
ap-1438	41	12	per	per	ADP
ap-1438	41	13	-	-	PUNCT
ap-1438	41	14	symbol	symbol	NOUN
ap-1438	41	15	mapper	mapper	NOUN
ap-1438	41	16	,	,	PUNCT
ap-1438	41	17	however	however	ADV
ap-1438	41	18	the	the	DET
ap-1438	41	19	output	output	NOUN
ap-1438	41	20	constellation	constellation	NOUN
ap-1438	41	21	space	space	NOUN
ap-1438	41	22	signals	signal	NOUN
ap-1438	41	23	are	be	AUX
ap-1438	41	24	generally	generally	ADV
ap-1438	41	25	allowed	allow	VERB
ap-1438	41	26	to	to	PART
ap-1438	41	27	be	be	AUX
ap-1438	41	28	multi	multi	ADJ
ap-1438	41	29	-	-	ADJ
ap-1438	41	30	dimensional	dimensional	ADJ
ap-1438	41	31	with	with	ADP
ap-1438	41	32	dimensionality	dimensionality	NOUN
ap-1438	41	33	ns	ns	NUM
ap-1438	41	34	.	.	PUNCT
ap-1438	42	1	let	let	VERB
ap-1438	42	2	the	the	DET
ap-1438	42	3	mapping	mapping	NOUN
ap-1438	42	4	correspond	correspond	VERB
ap-1438	42	5	directly	directly	ADV
ap-1438	42	6	to	to	ADP
ap-1438	42	7	the	the	DET
ap-1438	42	8	signal	signal	ADJ
ap-1438	42	9	indexation	indexation	NOUN
ap-1438	42	10	,	,	PUNCT
ap-1438	42	11	m(dt	m(dt	PROPN
ap-1438	42	12	)	)	PUNCT
ap-1438	43	1	=	=	SYM
ap-1438	43	2	sdt	sdt	PROPN
ap-1438	43	3	,	,	PUNCT
ap-1438	43	4	where	where	SCONJ
ap-1438	43	5	dt	dt	PROPN
ap-1438	43	6	∈	∈	PROPN
ap-1438	43	7	zmd	zmd	PROPN
ap-1438	43	8	denotes	denote	VERB
ap-1438	43	9	a	a	DET
ap-1438	43	10	data	data	NOUN
ap-1438	43	11	symbol	symbol	NOUN
ap-1438	43	12	from	from	ADP
ap-1438	43	13	terminal	terminal	PROPN
ap-1438	43	14	t	t	PROPN
ap-1438	43	15	∈	∈	PROPN
ap-1438	43	16	{	{	PUNCT
ap-1438	43	17	a	a	PROPN
ap-1438	43	18	,	,	PUNCT
ap-1438	43	19	b	b	NOUN
ap-1438	43	20	}	}	PUNCT
ap-1438	43	21	and	and	CCONJ
ap-1438	43	22	st	st	PROPN
ap-1438	43	23	is	be	AUX
ap-1438	43	24	a	a	DET
ap-1438	43	25	multi	multi	ADJ
ap-1438	43	26	-	-	ADJ
ap-1438	43	27	dimensional	dimensional	ADJ
ap-1438	43	28	constellation	constellation	NOUN
ap-1438	43	29	space	space	NOUN
ap-1438	43	30	signal	signal	NOUN
ap-1438	43	31	vector	vector	NOUN
ap-1438	43	32	.	.	PUNCT
ap-1438	44	1	2.2	2.2	NUM
ap-1438	44	2	hdf	hdf	NOUN
ap-1438	44	3	in	in	ADP
ap-1438	44	4	a	a	DET
ap-1438	44	5	wireless	wireless	ADJ
ap-1438	44	6	two	two	NUM
ap-1438	44	7	-	-	PUNCT
ap-1438	44	8	way	way	NOUN
ap-1438	44	9	relay	relay	NOUN
ap-1438	44	10	channel	channel	NOUN
ap-1438	44	11	the	the	DET
ap-1438	44	12	hdf	hdf	PROPN
ap-1438	44	13	strategy	strategy	NOUN
ap-1438	44	14	is	be	AUX
ap-1438	44	15	a	a	DET
ap-1438	44	16	two	two	NUM
ap-1438	44	17	-	-	PUNCT
ap-1438	44	18	way	way	NOUN
ap-1438	44	19	relaying	relaying	NOUN
ap-1438	44	20	concept	concept	NOUN
ap-1438	44	21	which	which	PRON
ap-1438	44	22	consists	consist	VERB
ap-1438	44	23	of	of	ADP
ap-1438	44	24	two	two	NUM
ap-1438	44	25	independent	independent	ADJ
ap-1438	44	26	stages	stage	NOUN
ap-1438	44	27	:	:	PUNCT
ap-1438	44	28	mac	mac	PROPN
ap-1438	44	29	and	and	CCONJ
ap-1438	44	30	bc	bc	PROPN
ap-1438	44	31	.	.	PUNCT
ap-1438	45	1	considering	consider	VERB
ap-1438	45	2	the	the	DET
ap-1438	45	3	half	half	ADJ
ap-1438	45	4	-	-	PUNCT
ap-1438	45	5	duplex	duplex	NOUN
ap-1438	45	6	constraint	constraint	NOUN
ap-1438	45	7	,	,	PUNCT
ap-1438	45	8	hdf	hdf	PROPN
ap-1438	45	9	has	have	VERB
ap-1438	45	10	the	the	DET
ap-1438	45	11	minimum	minimum	ADJ
ap-1438	45	12	number	number	NOUN
ap-1438	45	13	of	of	ADP
ap-1438	45	14	stages	stage	NOUN
ap-1438	45	15	for	for	ADP
ap-1438	45	16	two	two	NUM
ap-1438	45	17	-	-	PUNCT
ap-1438	45	18	way	way	NOUN
ap-1438	45	19	relaying	relaying	NOUN
ap-1438	45	20	.	.	PUNCT
ap-1438	46	1	we	we	PRON
ap-1438	46	2	assume	assume	VERB
ap-1438	46	3	an	an	DET
ap-1438	46	4	accurate	accurate	ADJ
ap-1438	46	5	time	time	NOUN
ap-1438	46	6	synchronized	synchronize	VERB
ap-1438	46	7	system	system	NOUN
ap-1438	46	8	with	with	ADP
ap-1438	46	9	full	full	ADJ
ap-1438	46	10	csir	csir	PROPN
ap-1438	46	11	available	available	ADJ
ap-1438	46	12	(	(	PUNCT
ap-1438	46	13	synchronization	synchronization	NOUN
ap-1438	46	14	issues	issue	NOUN
ap-1438	46	15	are	be	AUX
ap-1438	46	16	beyond	beyond	ADP
ap-1438	46	17	the	the	DET
ap-1438	46	18	scope	scope	NOUN
ap-1438	46	19	of	of	ADP
ap-1438	46	20	our	our	PRON
ap-1438	46	21	paper	paper	NOUN
ap-1438	46	22	)	)	PUNCT
ap-1438	46	23	and	and	CCONJ
ap-1438	46	24	the	the	DET
ap-1438	46	25	channel	channel	NOUN
ap-1438	46	26	dynamics	dynamic	NOUN
ap-1438	46	27	does	do	AUX
ap-1438	46	28	not	not	PART
ap-1438	46	29	allow	allow	VERB
ap-1438	46	30	us	we	PRON
ap-1438	46	31	any	any	DET
ap-1438	46	32	adaptation	adaptation	NOUN
ap-1438	46	33	strategies	strategy	NOUN
ap-1438	46	34	.	.	PUNCT
ap-1438	47	1	in	in	ADP
ap-1438	47	2	the	the	DET
ap-1438	47	3	mac	mac	PROPN
ap-1438	47	4	stage	stage	NOUN
ap-1438	47	5	,	,	PUNCT
ap-1438	47	6	both	both	PRON
ap-1438	47	7	a	a	PRON
ap-1438	47	8	and	and	CCONJ
ap-1438	47	9	b	b	NOUN
ap-1438	47	10	transmit	transmit	NOUN
ap-1438	47	11	at	at	ADP
ap-1438	47	12	the	the	DET
ap-1438	47	13	relay	relay	NOUN
ap-1438	47	14	in	in	ADP
ap-1438	47	15	an	an	DET
ap-1438	47	16	interfering	interfere	VERB
ap-1438	47	17	manner	manner	NOUN
ap-1438	47	18	.	.	PUNCT
ap-1438	48	1	the	the	DET
ap-1438	48	2	received	receive	VERB
ap-1438	48	3	signal	signal	NOUN
ap-1438	48	4	is	be	AUX
ap-1438	48	5	x	x	NOUN
ap-1438	48	6	=	=	NOUN
ap-1438	48	7	hasda	hasda	NOUN
ap-1438	48	8	+	+	CCONJ
ap-1438	48	9	hbsdb	hbsdb	NOUN
ap-1438	48	10	+	+	PROPN
ap-1438	48	11	w	w	NOUN
ap-1438	48	12	,	,	PUNCT
ap-1438	48	13	(	(	PUNCT
ap-1438	48	14	1	1	X
ap-1438	48	15	)	)	PUNCT
ap-1438	48	16	where	where	SCONJ
ap-1438	48	17	w	w	NOUN
ap-1438	48	18	is	be	AUX
ap-1438	48	19	awgn	awgn	NOUN
ap-1438	48	20	with	with	ADP
ap-1438	48	21	variance	variance	NOUN
ap-1438	48	22	2n0	2n0	NUM
ap-1438	48	23	per	per	ADP
ap-1438	48	24	complex	complex	ADJ
ap-1438	48	25	dimension	dimension	NOUN
ap-1438	48	26	,	,	PUNCT
ap-1438	48	27	and	and	CCONJ
ap-1438	48	28	the	the	DET
ap-1438	48	29	channel	channel	NOUN
ap-1438	48	30	parameters	parameter	NOUN
ap-1438	48	31	ha	ha	INTJ
ap-1438	48	32	and	and	CCONJ
ap-1438	48	33	hb	hb	PROPN
ap-1438	48	34	are	be	AUX
ap-1438	48	35	complex	complex	ADJ
ap-1438	48	36	gaussian	gaussian	ADJ
ap-1438	48	37	random	random	ADJ
ap-1438	48	38	variables	variable	NOUN
ap-1438	48	39	with	with	ADP
ap-1438	48	40	unit	unit	NOUN
ap-1438	48	41	variance	variance	NOUN
ap-1438	48	42	for	for	ADP
ap-1438	48	43	flat	flat	ADJ
ap-1438	48	44	rayleigh	rayleigh	NOUN
ap-1438	48	45	fading	fading	NOUN
ap-1438	48	46	,	,	PUNCT
ap-1438	48	47	and	and	CCONJ
ap-1438	48	48	have	have	VERB
ap-1438	48	49	a	a	DET
ap-1438	48	50	rician	rician	ADJ
ap-1438	48	51	distributed	distribute	VERB
ap-1438	48	52	envelope	envelope	NOUN
ap-1438	48	53	with	with	ADP
ap-1438	48	54	a	a	DET
ap-1438	48	55	certain	certain	ADJ
ap-1438	48	56	rician	rician	ADJ
ap-1438	48	57	factor	factor	NOUN
ap-1438	48	58	for	for	ADP
ap-1438	48	59	rice	rice	NOUN
ap-1438	48	60	fading	fading	NOUN
ap-1438	48	61	.	.	PUNCT
ap-1438	49	1	the	the	DET
ap-1438	49	2	rician	rician	ADJ
ap-1438	49	3	factor	factor	NOUN
ap-1438	49	4	is	be	AUX
ap-1438	49	5	defined	define	VERB
ap-1438	49	6	as	as	ADP
ap-1438	49	7	a	a	DET
ap-1438	49	8	power	power	NOUN
ap-1438	49	9	ratio	ratio	NOUN
ap-1438	49	10	between	between	ADP
ap-1438	49	11	stationary	stationary	ADJ
ap-1438	49	12	(	(	PUNCT
ap-1438	49	13	line	line	NOUN
ap-1438	49	14	-	-	PUNCT
ap-1438	49	15	of	of	ADP
ap-1438	49	16	-	-	PUNCT
ap-1438	49	17	sight	sight	NOUN
ap-1438	49	18	)	)	PUNCT
ap-1438	49	19	and	and	CCONJ
ap-1438	49	20	scattered	scatter	VERB
ap-1438	49	21	components	component	NOUN
ap-1438	49	22	.	.	PUNCT
ap-1438	50	1	maximum	maximum	ADJ
ap-1438	50	2	likelihood	likelihood	NOUN
ap-1438	50	3	(	(	PUNCT
ap-1438	50	4	ml	ml	NOUN
ap-1438	50	5	)	)	PUNCT
ap-1438	50	6	based	base	VERB
ap-1438	50	7	processing	processing	NOUN
ap-1438	50	8	at	at	ADP
ap-1438	50	9	r	r	NOUN
ap-1438	50	10	decodes	decode	NOUN
ap-1438	50	11	hierarchical	hierarchical	ADJ
ap-1438	50	12	data	datum	NOUN
ap-1438	50	13	from	from	ADP
ap-1438	50	14	the	the	DET
ap-1438	50	15	received	receive	VERB
ap-1438	50	16	signal	signal	NOUN
ap-1438	50	17	(	(	PUNCT
ap-1438	50	18	1	1	NUM
ap-1438	50	19	)	)	PUNCT
ap-1438	51	1	[	[	X
ap-1438	51	2	4	4	NUM
ap-1438	51	3	]	]	PUNCT
ap-1438	51	4	,	,	PUNCT
ap-1438	51	5	where	where	SCONJ
ap-1438	51	6	the	the	DET
ap-1438	51	7	hierarchical	hierarchical	ADJ
ap-1438	51	8	data	datum	NOUN
ap-1438	51	9	is	be	AUX
ap-1438	51	10	dab	dab	PROPN
ap-1438	51	11	=	=	SYM
ap-1438	51	12	χ(da	χ(da	PROPN
ap-1438	51	13	,	,	PUNCT
ap-1438	51	14	db	db	PROPN
ap-1438	51	15	)	)	PUNCT
ap-1438	51	16	;	;	PUNCT
ap-1438	51	17	an	an	DET
ap-1438	51	18	exclusive	exclusive	ADJ
ap-1438	51	19	operation	operation	NOUN
ap-1438	51	20	is	be	AUX
ap-1438	51	21	a	a	DET
ap-1438	51	22	function	function	NOUN
ap-1438	51	23	χ	χ	X
ap-1438	51	24	:	:	PUNCT
ap-1438	51	25	z	z	PROPN
ap-1438	51	26	2	2	NUM
ap-1438	51	27	md	md	PROPN
ap-1438	51	28	→	→	SYM
ap-1438	51	29	zmdab	zmdab	PROPN
ap-1438	51	30	,	,	PUNCT
ap-1438	51	31	where	where	SCONJ
ap-1438	51	32	mdab	mdab	PROPN
ap-1438	51	33	denotes	denote	VERB
ap-1438	51	34	the	the	DET
ap-1438	51	35	cardinality	cardinality	NOUN
ap-1438	51	36	of	of	ADP
ap-1438	51	37	exclusive	exclusive	ADJ
ap-1438	51	38	symbol	symbol	NOUN
ap-1438	51	39	alphabets	alphabet	NOUN
ap-1438	51	40	.	.	PUNCT
ap-1438	52	1	the	the	DET
ap-1438	52	2	exclusive	exclusive	ADJ
ap-1438	52	3	operation	operation	NOUN
ap-1438	52	4	meets	meet	VERB
ap-1438	52	5	the	the	DET
ap-1438	52	6	exclusive	exclusive	ADJ
ap-1438	52	7	law	law	NOUN
ap-1438	52	8	[	[	X
ap-1438	52	9	7	7	NUM
ap-1438	52	10	]	]	PUNCT
ap-1438	52	11	,	,	PUNCT
ap-1438	52	12	which	which	PRON
ap-1438	52	13	guarantees	guarantee	VERB
ap-1438	52	14	the	the	DET
ap-1438	52	15	existence	existence	NOUN
ap-1438	52	16	of	of	ADP
ap-1438	52	17	the	the	DET
ap-1438	52	18	invertible	invertible	ADJ
ap-1438	52	19	function	function	NOUN
ap-1438	52	20	χ−1	χ−1	PROPN
ap-1438	52	21	:	:	PUNCT
ap-1438	52	22	(	(	PUNCT
ap-1438	52	23	zmd	zmd	X
ap-1438	52	24	,	,	PUNCT
ap-1438	52	25	zmdab	zmdab	NOUN
ap-1438	52	26	)	)	PUNCT
ap-1438	52	27	→	→	SYM
ap-1438	52	28	zmd	zmd	PROPN
ap-1438	52	29	.	.	PUNCT
ap-1438	53	1	we	we	PRON
ap-1438	53	2	assume	assume	VERB
ap-1438	53	3	the	the	DET
ap-1438	53	4	minimal	minimal	ADJ
ap-1438	53	5	cardinality	cardinality	NOUN
ap-1438	53	6	exclusive	exclusive	ADJ
ap-1438	53	7	operationmd	operationmd	NOUN
ap-1438	53	8	=	=	ADJ
ap-1438	53	9	mdab	mdab	NOUN
ap-1438	53	10	,	,	PUNCT
ap-1438	53	11	and	and	CCONJ
ap-1438	53	12	based	base	VERB
ap-1438	53	13	on	on	ADP
ap-1438	53	14	[	[	X
ap-1438	53	15	9	9	NUM
ap-1438	53	16	]	]	X
ap-1438	53	17	the	the	DET
ap-1438	53	18	exclusive	exclusive	ADJ
ap-1438	53	19	operation	operation	NOUN
ap-1438	53	20	is	be	AUX
ap-1438	53	21	fixed	fix	VERB
ap-1438	53	22	on	on	ADP
ap-1438	53	23	bitwise	bitwise	NOUN
ap-1438	53	24	xor	xor	PROPN
ap-1438	53	25	;	;	PUNCT
ap-1438	53	26	χ(da	χ(da	NOUN
ap-1438	53	27	,	,	PUNCT
ap-1438	53	28	db	db	PROPN
ap-1438	53	29	)	)	PUNCT
ap-1438	53	30	=	=	SYM
ap-1438	53	31	da	da	PROPN
ap-1438	53	32	⊕	⊕	PROPN
ap-1438	53	33	db	db	PROPN
ap-1438	53	34	.	.	PUNCT
ap-1438	54	1	in	in	ADP
ap-1438	54	2	the	the	DET
ap-1438	54	3	bc	bc	PROPN
ap-1438	54	4	stage	stage	NOUN
ap-1438	54	5	,	,	PUNCT
ap-1438	54	6	r	r	NOUN
ap-1438	54	7	transmits	transmit	VERB
ap-1438	54	8	hierarchical	hierarchical	ADJ
ap-1438	54	9	data	datum	NOUN
ap-1438	54	10	received	receive	VERB
ap-1438	54	11	previously	previously	ADV
ap-1438	54	12	in	in	ADP
ap-1438	54	13	the	the	DET
ap-1438	54	14	mac	mac	NOUN
ap-1438	54	15	stage	stage	NOUN
ap-1438	54	16	;	;	PUNCT
ap-1438	54	17	the	the	DET
ap-1438	54	18	bc	bc	PROPN
ap-1438	54	19	stage	stage	NOUN
ap-1438	54	20	is	be	AUX
ap-1438	54	21	similar	similar	ADJ
ap-1438	54	22	to	to	ADP
ap-1438	54	23	the	the	DET
ap-1438	54	24	standard	standard	ADJ
ap-1438	54	25	broadcast	broadcast	NOUN
ap-1438	54	26	channel	channel	NOUN
ap-1438	54	27	.	.	PUNCT
ap-1438	55	1	the	the	DET
ap-1438	55	2	terminals	terminal	NOUN
ap-1438	55	3	decode	decode	VERB
ap-1438	55	4	the	the	DET
ap-1438	55	5	desired	desire	VERB
ap-1438	55	6	data	datum	NOUN
ap-1438	55	7	from	from	ADP
ap-1438	55	8	the	the	DET
ap-1438	55	9	hierarchical	hierarchical	ADJ
ap-1438	55	10	data	datum	NOUN
ap-1438	55	11	with	with	ADP
ap-1438	55	12	the	the	DET
ap-1438	55	13	help	help	NOUN
ap-1438	55	14	of	of	ADP
ap-1438	55	15	its	its	PRON
ap-1438	55	16	own	own	ADJ
ap-1438	55	17	data	datum	NOUN
ap-1438	55	18	and	and	CCONJ
ap-1438	55	19	the	the	DET
ap-1438	55	20	invertible	invertible	ADJ
ap-1438	55	21	function	function	NOUN
ap-1438	55	22	,	,	PUNCT
ap-1438	55	23	similarly	similarly	ADV
ap-1438	55	24	as	as	ADP
ap-1438	55	25	in	in	ADP
ap-1438	55	26	nc	nc	PROPN
ap-1438	55	27	concepts	concept	NOUN
ap-1438	55	28	.	.	PUNCT
ap-1438	56	1	2.3	2.3	NUM
ap-1438	56	2	ump	ump	NOUN
ap-1438	56	3	alphabets	alphabet	NOUN
ap-1438	56	4	it	it	PRON
ap-1438	56	5	was	be	AUX
ap-1438	56	6	shown	show	VERB
ap-1438	56	7	in	in	ADP
ap-1438	56	8	[	[	X
ap-1438	56	9	9	9	NUM
ap-1438	56	10	]	]	PUNCT
ap-1438	56	11	that	that	SCONJ
ap-1438	56	12	the	the	DET
ap-1438	56	13	hierarchical	hierarchical	ADJ
ap-1438	56	14	minimal	minimal	ADJ
ap-1438	56	15	euclidean	euclidean	ADJ
ap-1438	56	16	distance	distance	NOUN
ap-1438	56	17	d2min(α	d2min(α	NOUN
ap-1438	56	18	)	)	PUNCT
ap-1438	57	1	=	=	NOUN
ap-1438	57	2	min	min	PROPN
ap-1438	57	3	k⊕l	k⊕l	PROPN
ap-1438	57	4	�	�	NOUN
ap-1438	57	5	=	=	NOUN
ap-1438	57	6	m⊕n	m⊕n	ADV
ap-1438	57	7	||ukl	||ukl	ADJ
ap-1438	57	8	−	−	PROPN
ap-1438	57	9	umn||2	umn||2	PROPN
ap-1438	57	10	(	(	PUNCT
ap-1438	57	11	2	2	X
ap-1438	57	12	)	)	PUNCT
ap-1438	57	13	mostly	mostly	ADV
ap-1438	57	14	determines	determine	VERB
ap-1438	57	15	the	the	DET
ap-1438	57	16	ml	ml	NOUN
ap-1438	57	17	-	-	PUNCT
ap-1438	57	18	error	error	NOUN
ap-1438	57	19	performance	performance	NOUN
ap-1438	57	20	with	with	ADP
ap-1438	57	21	csir	csir	PROPN
ap-1438	57	22	[	[	X
ap-1438	57	23	7	7	NUM
ap-1438	57	24	]	]	PUNCT
ap-1438	57	25	and	and	CCONJ
ap-1438	57	26	it	it	PRON
ap-1438	57	27	is	be	AUX
ap-1438	57	28	parametrized	parametrize	VERB
ap-1438	57	29	by	by	ADP
ap-1438	57	30	α	α	NOUN
ap-1438	57	31	,	,	PUNCT
ap-1438	57	32	where	where	SCONJ
ap-1438	57	33	uij	uij	PRON
ap-1438	57	34	=	=	PUNCT
ap-1438	57	35	sda	sda	NOUN
ap-1438	57	36	+	+	CCONJ
ap-1438	57	37	αsdb	αsdb	NOUN
ap-1438	57	38	∈	∈	PROPN
ap-1438	57	39	c	c	NOUN
ap-1438	57	40	ns	ns	NUM
ap-1438	57	41	and	and	CCONJ
ap-1438	57	42	α	α	NOUN
ap-1438	57	43	∈	∈	PROPN
ap-1438	57	44	c	c	NOUN
ap-1438	57	45	denote	denote	VERB
ap-1438	57	46	a	a	DET
ap-1438	57	47	hierarchical	hierarchical	ADJ
ap-1438	57	48	signal	signal	NOUN
ap-1438	57	49	in	in	ADP
ap-1438	57	50	the	the	DET
ap-1438	57	51	constellation	constellation	NOUN
ap-1438	57	52	space	space	NOUN
ap-1438	57	53	and	and	CCONJ
ap-1438	57	54	a	a	DET
ap-1438	57	55	channel	channel	NOUN
ap-1438	57	56	parameter	parameter	NOUN
ap-1438	57	57	,	,	PUNCT
ap-1438	57	58	respectively	respectively	ADV
ap-1438	57	59	.	.	PUNCT
ap-1438	58	1	in	in	ADP
ap-1438	58	2	the	the	DET
ap-1438	58	3	same	same	ADJ
ap-1438	58	4	paper	paper	NOUN
ap-1438	58	5	,	,	PUNCT
ap-1438	58	6	the	the	DET
ap-1438	58	7	authors	author	NOUN
ap-1438	58	8	propose	propose	VERB
ap-1438	58	9	the	the	DET
ap-1438	58	10	alphabets	alphabet	NOUN
ap-1438	58	11	and	and	CCONJ
ap-1438	58	12	exclusive	exclusive	ADJ
ap-1438	58	13	operations	operation	NOUN
ap-1438	58	14	whose	whose	DET
ap-1438	58	15	minimal	minimal	ADJ
ap-1438	58	16	distance	distance	NOUN
ap-1438	58	17	reaches	reach	VERB
ap-1438	58	18	the	the	DET
ap-1438	58	19	upper	upper	ADV
ap-1438	58	20	-	-	PUNCT
ap-1438	58	21	bound	bind	VERB
ap-1438	58	22	d2min(α	d2min(α	NOUN
ap-1438	58	23	)	)	PUNCT
ap-1438	58	24	!	!	PUNCT
ap-1438	59	1	=	=	PUNCT
ap-1438	59	2	|α|2δ2min	|α|2δ2min	PROPN
ap-1438	59	3	,	,	PUNCT
ap-1438	59	4	∀α	∀α	X
ap-1438	59	5	∈	∈	PROPN
ap-1438	59	6	c	c	NOUN
ap-1438	59	7	,	,	PUNCT
ap-1438	59	8	|α|	|α|	PROPN
ap-1438	59	9	≤	≤	ADV
ap-1438	59	10	1	1	NUM
ap-1438	59	11	,	,	PUNCT
ap-1438	59	12	(	(	PUNCT
ap-1438	59	13	3	3	NUM
ap-1438	59	14	)	)	PUNCT
ap-1438	59	15	and	and	CCONJ
ap-1438	59	16	they	they	PRON
ap-1438	59	17	are	be	AUX
ap-1438	59	18	robust	robust	ADJ
ap-1438	59	19	w.r.t	w.r.t	NOUN
ap-1438	59	20	.	.	PUNCT
ap-1438	60	1	parametrization	parametrization	NOUN
ap-1438	60	2	by	by	ADP
ap-1438	60	3	α	α	NOUN
ap-1438	60	4	;	;	PUNCT
ap-1438	60	5	in	in	ADP
ap-1438	60	6	other	other	ADJ
ap-1438	60	7	words	word	NOUN
ap-1438	60	8	,	,	PUNCT
ap-1438	60	9	its	its	PRON
ap-1438	60	10	performance	performance	NOUN
ap-1438	60	11	is	be	AUX
ap-1438	60	12	parametric	parametric	ADJ
ap-1438	60	13	,	,	PUNCT
ap-1438	60	14	but	but	CCONJ
ap-1438	60	15	for	for	ADP
ap-1438	60	16	all	all	DET
ap-1438	60	17	possible	possible	ADJ
ap-1438	60	18	parameter	parameter	NOUN
ap-1438	60	19	values	value	NOUN
ap-1438	60	20	its	its	PRON
ap-1438	60	21	performance	performance	NOUN
ap-1438	60	22	is	be	AUX
ap-1438	60	23	maximal	maximal	ADJ
ap-1438	60	24	,	,	PUNCT
ap-1438	60	25	therefore	therefore	ADV
ap-1438	60	26	such	such	ADJ
ap-1438	60	27	alphabets	alphabet	NOUN
ap-1438	60	28	are	be	AUX
ap-1438	60	29	denoted	denote	VERB
ap-1438	60	30	as	as	ADP
ap-1438	60	31	uniformly	uniformly	ADV
ap-1438	60	32	most	most	ADV
ap-1438	60	33	powerful	powerful	ADJ
ap-1438	60	34	(	(	PUNCT
ap-1438	60	35	ump	ump	ADJ
ap-1438	60	36	)	)	PUNCT
ap-1438	60	37	alphabets	alphabet	NOUN
ap-1438	60	38	.	.	PUNCT
ap-1438	61	1	the	the	DET
ap-1438	61	2	symbol	symbol	NOUN
ap-1438	61	3	δ2min	δ2min	PROPN
ap-1438	61	4	stands	stand	VERB
ap-1438	61	5	for	for	ADP
ap-1438	61	6	a	a	DET
ap-1438	61	7	minimal	minimal	ADJ
ap-1438	61	8	distance	distance	NOUN
ap-1438	61	9	of	of	ADP
ap-1438	61	10	the	the	DET
ap-1438	61	11	primary	primary	ADJ
ap-1438	61	12	alphabet	alphabet	NOUN
ap-1438	61	13	a	a	NOUN
ap-1438	61	14	,	,	PUNCT
ap-1438	61	15	δ2min	δ2min	PROPN
ap-1438	61	16	=	=	SYM
ap-1438	61	17	min	min	PROPN
ap-1438	61	18	k	k	PROPN
ap-1438	61	19	�	�	PROPN
ap-1438	62	1	=	=	PROPN
ap-1438	62	2	l	l	NOUN
ap-1438	62	3	||sk	||sk	NUM
ap-1438	62	4	−	−	PROPN
ap-1438	62	5	sl||2	sl||2	ADJ
ap-1438	62	6	,	,	PUNCT
ap-1438	62	7	k	k	NOUN
ap-1438	62	8	,	,	PUNCT
ap-1438	62	9	l	l	PROPN
ap-1438	62	10	∈	∈	PROPN
ap-1438	62	11	zmd	zmd	NOUN
ap-1438	62	12	.	.	PUNCT
ap-1438	63	1	the	the	DET
ap-1438	63	2	initial	initial	ADJ
ap-1438	63	3	definition	definition	NOUN
ap-1438	63	4	of	of	ADP
ap-1438	63	5	the	the	DET
ap-1438	63	6	ump	ump	ADJ
ap-1438	63	7	alphabet	alphabet	NOUN
ap-1438	63	8	(	(	PUNCT
ap-1438	63	9	3	3	X
ap-1438	63	10	)	)	PUNCT
ap-1438	63	11	is	be	AUX
ap-1438	63	12	equivalent	equivalent	ADJ
ap-1438	63	13	to	to	ADP
ap-1438	63	14	the	the	DET
ap-1438	63	15	following	follow	VERB
ap-1438	63	16	condition	condition	NOUN
ap-1438	63	17	[	[	X
ap-1438	63	18	9	9	NUM
ap-1438	63	19	]	]	PUNCT
ap-1438	63	20	||sk	||sk	NUM
ap-1438	63	21	−	−	PROPN
ap-1438	63	22	sm||2	sm||2	ADJ
ap-1438	63	23	+	+	CCONJ
ap-1438	63	24	|α|2||sl	|α|2||sl	PROPN
ap-1438	63	25	−	−	PROPN
ap-1438	63	26	sn||2−	sn||2−	PROPN
ap-1438	63	27	(	(	PUNCT
ap-1438	63	28	4	4	NUM
ap-1438	63	29	)	)	PUNCT
ap-1438	63	30	2|α|	2|α|	NUM
ap-1438	63	31	|〈sk	|〈sk	NOUN
ap-1438	63	32	−	−	PROPN
ap-1438	63	33	sm	sm	PROPN
ap-1438	63	34	,	,	PUNCT
ap-1438	63	35	sl	sl	PROPN
ap-1438	63	36	−	−	PUNCT
ap-1438	63	37	sn〉|	sn〉|	ADJ
ap-1438	63	38	≥	≥	NUM
ap-1438	63	39	|α|2δ2min	|α|2δ2min	PROPN
ap-1438	63	40	,	,	PUNCT
ap-1438	63	41	for	for	ADP
ap-1438	63	42	k	k	PROPN
ap-1438	63	43	�	�	PROPN
ap-1438	63	44	=	=	SYM
ap-1438	63	45	m	m	PROPN
ap-1438	63	46	,	,	PUNCT
ap-1438	63	47	l	l	PROPN
ap-1438	63	48	�	�	PROPN
ap-1438	63	49	=	=	SYM
ap-1438	63	50	n	n	CCONJ
ap-1438	63	51	,	,	PUNCT
ap-1438	63	52	k	k	PROPN
ap-1438	63	53	⊕	⊕	PROPN
ap-1438	63	54	l	l	NOUN
ap-1438	63	55	�	�	PROPN
ap-1438	63	56	=	=	SYM
ap-1438	63	57	m	m	PROPN
ap-1438	63	58	⊕	⊕	PROPN
ap-1438	63	59	n	n	NOUN
ap-1438	63	60	and	and	CCONJ
ap-1438	63	61	∀α	∀α	VERB
ap-1438	63	62	∈	∈	PROPN
ap-1438	63	63	c	c	NOUN
ap-1438	63	64	,	,	PUNCT
ap-1438	63	65	|α|	|α|	PROPN
ap-1438	63	66	≤	≤	ADV
ap-1438	63	67	1	1	NUM
ap-1438	63	68	.	.	SYM
ap-1438	63	69	3	3	NUM
ap-1438	63	70	design	design	NOUN
ap-1438	63	71	of	of	ADP
ap-1438	63	72	ump	ump	NOUN
ap-1438	63	73	alphabets	alphabet	NOUN
ap-1438	63	74	in	in	ADP
ap-1438	63	75	contrast	contrast	NOUN
ap-1438	63	76	to	to	ADP
ap-1438	63	77	[	[	X
ap-1438	63	78	9	9	NUM
ap-1438	63	79	]	]	PUNCT
ap-1438	63	80	,	,	PUNCT
ap-1438	63	81	where	where	SCONJ
ap-1438	63	82	ump	ump	NOUN
ap-1438	63	83	frequency	frequency	NOUN
ap-1438	63	84	-	-	PUNCT
ap-1438	63	85	modulation	modulation	NOUN
ap-1438	63	86	alphabets	alphabet	NOUN
ap-1438	63	87	have	have	AUX
ap-1438	63	88	been	be	AUX
ap-1438	63	89	designed	design	VERB
ap-1438	63	90	,	,	PUNCT
ap-1438	63	91	we	we	PRON
ap-1438	63	92	face	face	VERB
ap-1438	63	93	a	a	DET
ap-1438	63	94	problem	problem	NOUN
ap-1438	63	95	of	of	ADP
ap-1438	63	96	general	general	ADJ
ap-1438	63	97	ump	ump	PROPN
ap-1438	63	98	alphabet	alphabet	PROPN
ap-1438	63	99	design	design	NOUN
ap-1438	63	100	with	with	ADP
ap-1438	63	101	a	a	DET
ap-1438	63	102	natural	natural	ADJ
ap-1438	63	103	unit	unit	NOUN
ap-1438	64	1	mean	mean	VERB
ap-1438	64	2	symbol	symbol	NOUN
ap-1438	64	3	energy	energy	NOUN
ap-1438	64	4	constraint	constraint	NOUN
ap-1438	64	5	,	,	PUNCT
ap-1438	64	6	ε̄	ε̄	ADJ
ap-1438	64	7	=	=	SYM
ap-1438	64	8	1	1	NUM
ap-1438	64	9	md	md	PROPN
ap-1438	64	10	md−1∑	md−1∑	X
ap-1438	64	11	i=0	i=0	PROPN
ap-1438	64	12	||si||2	||si||2	PROPN
ap-1438	64	13	.	.	PUNCT
ap-1438	65	1	the	the	DET
ap-1438	65	2	optimization	optimization	NOUN
ap-1438	65	3	goal	goal	NOUN
ap-1438	65	4	can	can	AUX
ap-1438	65	5	be	be	AUX
ap-1438	65	6	formulated	formulate	VERB
ap-1438	65	7	as	as	ADP
ap-1438	65	8	:	:	PUNCT
ap-1438	65	9	maximize	maximize	VERB
ap-1438	65	10	δ2min	δ2min	ADP
ap-1438	65	11	(	(	PUNCT
ap-1438	65	12	5	5	NUM
ap-1438	65	13	)	)	PUNCT
ap-1438	65	14	s.	s.	PROPN
ap-1438	65	15	t.	t.	PROPN
ap-1438	65	16	ε̄	ε̄	PROPN
ap-1438	65	17	=	=	SYM
ap-1438	65	18	1	1	NUM
ap-1438	65	19	and	and	CCONJ
ap-1438	65	20	the	the	DET
ap-1438	65	21	ump	ump	NOUN
ap-1438	65	22	condition	condition	NOUN
ap-1438	65	23	(	(	PUNCT
ap-1438	65	24	4	4	NUM
ap-1438	65	25	)	)	PUNCT
ap-1438	65	26	54	54	NUM
ap-1438	65	27	acta	acta	PROPN
ap-1438	65	28	polytechnica	polytechnica	PROPN
ap-1438	65	29	vol	vol	NOUN
ap-1438	65	30	.	.	PUNCT
ap-1438	66	1	51	51	NUM
ap-1438	66	2	no	no	NOUN
ap-1438	66	3	.	.	PUNCT
ap-1438	67	1	5/2011	5/2011	NUM
ap-1438	67	2	the	the	DET
ap-1438	67	3	proposed	propose	VERB
ap-1438	67	4	optimization	optimization	NOUN
ap-1438	67	5	search	search	NOUN
ap-1438	67	6	has	have	VERB
ap-1438	67	7	free	free	ADJ
ap-1438	67	8	parameters	parameter	NOUN
ap-1438	67	9	:	:	PUNCT
ap-1438	67	10	alphabet	alphabet	PROPN
ap-1438	67	11	cardinality	cardinality	PROPN
ap-1438	67	12	md	md	PROPN
ap-1438	67	13	and	and	CCONJ
ap-1438	67	14	alphabet	alphabet	PROPN
ap-1438	67	15	dimensionality	dimensionality	NOUN
ap-1438	67	16	ns	ns	NOUN
ap-1438	67	17	.	.	PUNCT
ap-1438	68	1	the	the	DET
ap-1438	68	2	optimization	optimization	NOUN
ap-1438	68	3	problem	problem	NOUN
ap-1438	68	4	(	(	PUNCT
ap-1438	68	5	5	5	NUM
ap-1438	68	6	)	)	PUNCT
ap-1438	68	7	is	be	AUX
ap-1438	68	8	a	a	DET
ap-1438	68	9	standard	standard	ADJ
ap-1438	68	10	min	min	ADJ
ap-1438	68	11	-	-	ADJ
ap-1438	68	12	max	max	ADJ
ap-1438	68	13	problem	problem	NOUN
ap-1438	68	14	which	which	PRON
ap-1438	68	15	is	be	AUX
ap-1438	68	16	conveniently	conveniently	ADV
ap-1438	68	17	described	describe	VERB
ap-1438	68	18	as	as	ADP
ap-1438	68	19	maximize	maximize	NOUN
ap-1438	68	20	t	t	PROPN
ap-1438	68	21	(	(	PUNCT
ap-1438	68	22	6	6	NUM
ap-1438	68	23	)	)	PUNCT
ap-1438	68	24	s.	s.	PROPN
ap-1438	68	25	t.	t.	PROPN
ap-1438	68	26	t	t	PROPN
ap-1438	68	27	≤	≤	PROPN
ap-1438	68	28	||sk	||sk	NUM
ap-1438	68	29	−	−	PROPN
ap-1438	68	30	sl||2	sl||2	PROPN
ap-1438	68	31	,	,	PUNCT
ap-1438	68	32	k	k	PROPN
ap-1438	68	33	�	�	PROPN
ap-1438	68	34	=	=	SYM
ap-1438	68	35	l	l	PROPN
ap-1438	68	36	,	,	PUNCT
ap-1438	68	37	k	k	NOUN
ap-1438	68	38	,	,	PUNCT
ap-1438	68	39	l	l	PROPN
ap-1438	68	40	∈	∈	PROPN
ap-1438	68	41	zmd	zmd	X
ap-1438	68	42	,	,	PUNCT
ap-1438	68	43	ε̄	ε̄	ADJ
ap-1438	68	44	=	=	SYM
ap-1438	68	45	1	1	NUM
ap-1438	68	46	and	and	CCONJ
ap-1438	68	47	the	the	DET
ap-1438	68	48	ump	ump	NOUN
ap-1438	68	49	condition	condition	NOUN
ap-1438	68	50	(	(	PUNCT
ap-1438	68	51	4	4	X
ap-1438	68	52	)	)	PUNCT
ap-1438	68	53	the	the	DET
ap-1438	68	54	optimization	optimization	NOUN
ap-1438	68	55	problem	problem	NOUN
ap-1438	68	56	(	(	PUNCT
ap-1438	68	57	6	6	NUM
ap-1438	68	58	)	)	PUNCT
ap-1438	68	59	is	be	AUX
ap-1438	68	60	recognized	recognize	VERB
ap-1438	68	61	to	to	PART
ap-1438	68	62	be	be	AUX
ap-1438	68	63	a	a	DET
ap-1438	68	64	convex	convex	ADJ
ap-1438	68	65	quadratic	quadratic	ADJ
ap-1438	68	66	continuous	continuous	ADJ
ap-1438	68	67	optimization	optimization	NOUN
ap-1438	68	68	problem	problem	NOUN
ap-1438	68	69	for	for	ADP
ap-1438	68	70	which	which	PRON
ap-1438	68	71	standard	standard	ADJ
ap-1438	68	72	optimization	optimization	NOUN
ap-1438	68	73	techniques	technique	NOUN
ap-1438	68	74	converge	converge	VERB
ap-1438	68	75	very	very	ADV
ap-1438	68	76	well	well	ADV
ap-1438	68	77	,	,	PUNCT
ap-1438	68	78	with	with	ADP
ap-1438	68	79	reasonable	reasonable	ADJ
ap-1438	68	80	precision	precision	NOUN
ap-1438	68	81	[	[	X
ap-1438	68	82	10	10	NUM
ap-1438	68	83	]	]	PUNCT
ap-1438	68	84	.	.	PUNCT
ap-1438	69	1	specifically	specifically	ADV
ap-1438	69	2	,	,	PUNCT
ap-1438	69	3	we	we	PRON
ap-1438	69	4	have	have	AUX
ap-1438	69	5	used	use	VERB
ap-1438	69	6	a	a	DET
ap-1438	69	7	nelder	nelder	ADJ
ap-1438	69	8	-	-	PUNCT
ap-1438	69	9	mead	mead	NOUN
ap-1438	69	10	global	global	ADJ
ap-1438	69	11	-	-	PUNCT
ap-1438	69	12	search	search	NOUN
ap-1438	69	13	method	method	NOUN
ap-1438	69	14	with	with	ADP
ap-1438	69	15	several	several	ADJ
ap-1438	69	16	different	different	ADJ
ap-1438	69	17	starting	starting	NOUN
ap-1438	69	18	points	point	NOUN
ap-1438	69	19	of	of	ADP
ap-1438	69	20	its	its	PRON
ap-1438	69	21	random	random	ADJ
ap-1438	69	22	number	number	NOUN
ap-1438	69	23	generator	generator	NOUN
ap-1438	69	24	,	,	PUNCT
ap-1438	69	25	and	and	CCONJ
ap-1438	69	26	the	the	DET
ap-1438	69	27	results	result	NOUN
ap-1438	69	28	are	be	AUX
ap-1438	69	29	then	then	ADV
ap-1438	69	30	refined	refine	VERB
ap-1438	69	31	by	by	ADP
ap-1438	69	32	the	the	DET
ap-1438	69	33	local	local	ADJ
ap-1438	69	34	-	-	PUNCT
ap-1438	69	35	search	search	NOUN
ap-1438	69	36	interior	interior	ADJ
ap-1438	69	37	-	-	PUNCT
ap-1438	69	38	points	point	NOUN
ap-1438	69	39	method	method	NOUN
ap-1438	69	40	.	.	PUNCT
ap-1438	70	1	we	we	PRON
ap-1438	70	2	do	do	AUX
ap-1438	70	3	not	not	PART
ap-1438	70	4	use	use	VERB
ap-1438	70	5	the	the	DET
ap-1438	70	6	direct	direct	ADJ
ap-1438	70	7	analytical	analytical	ADJ
ap-1438	70	8	solution	solution	NOUN
ap-1438	70	9	based	base	VERB
ap-1438	70	10	on	on	ADP
ap-1438	70	11	the	the	DET
ap-1438	70	12	karush	karush	PROPN
ap-1438	70	13	-	-	PUNCT
ap-1438	70	14	kuhn	kuhn	PROPN
ap-1438	70	15	-	-	PUNCT
ap-1438	70	16	tucker	tucker	PROPN
ap-1438	70	17	conditions	condition	NOUN
ap-1438	70	18	due	due	ADP
ap-1438	70	19	to	to	ADP
ap-1438	70	20	the	the	DET
ap-1438	70	21	large	large	ADJ
ap-1438	70	22	number	number	NOUN
ap-1438	70	23	of	of	ADP
ap-1438	70	24	constrained	constrain	VERB
ap-1438	70	25	conditions	condition	NOUN
ap-1438	70	26	(	(	PUNCT
ap-1438	70	27	4	4	NUM
ap-1438	70	28	)	)	PUNCT
ap-1438	70	29	.	.	PUNCT
ap-1438	71	1	we	we	PRON
ap-1438	71	2	distinguish	distinguish	VERB
ap-1438	71	3	two	two	NUM
ap-1438	71	4	cases	case	NOUN
ap-1438	71	5	,	,	PUNCT
ap-1438	71	6	a	a	X
ap-1438	71	7	)	)	PUNCT
ap-1438	71	8	both	both	DET
ap-1438	71	9	terminals	terminal	NOUN
ap-1438	71	10	use	use	VERB
ap-1438	71	11	the	the	DET
ap-1438	71	12	same	same	ADJ
ap-1438	71	13	alphabet	alphabet	NOUN
ap-1438	71	14	aa	aa	NOUN
ap-1438	71	15	=	=	PUNCT
ap-1438	71	16	ab	ab	PROPN
ap-1438	71	17	and	and	CCONJ
ap-1438	71	18	case	case	NOUN
ap-1438	71	19	b	b	X
ap-1438	71	20	)	)	PUNCT
ap-1438	71	21	aa	aa	PROPN
ap-1438	71	22	�	�	PROPN
ap-1438	71	23	=	=	PROPN
ap-1438	71	24	ab	ab	PROPN
ap-1438	71	25	where	where	SCONJ
ap-1438	71	26	the	the	DET
ap-1438	71	27	terminals	terminal	NOUN
ap-1438	71	28	use	use	VERB
ap-1438	71	29	unequal	unequal	ADJ
ap-1438	71	30	alphabets	alphabet	NOUN
ap-1438	71	31	.	.	PUNCT
ap-1438	72	1	case	case	NOUN
ap-1438	72	2	b	b	X
ap-1438	72	3	)	)	PUNCT
ap-1438	72	4	needs	need	VERB
ap-1438	72	5	to	to	PART
ap-1438	72	6	incorporate	incorporate	VERB
ap-1438	72	7	the	the	DET
ap-1438	72	8	fact	fact	NOUN
ap-1438	72	9	that	that	SCONJ
ap-1438	72	10	optimal	optimal	ADJ
ap-1438	72	11	alphabets	alphabet	NOUN
ap-1438	72	12	should	should	AUX
ap-1438	72	13	have	have	AUX
ap-1438	72	14	both	both	CCONJ
ap-1438	72	15	minimal	minimal	ADJ
ap-1438	72	16	distances	distance	NOUN
ap-1438	72	17	of	of	ADP
ap-1438	72	18	aa	aa	PROPN
ap-1438	72	19	,	,	PUNCT
ap-1438	72	20	ab	ab	PROPN
ap-1438	72	21	greater	great	ADJ
ap-1438	72	22	than	than	ADP
ap-1438	72	23	some	some	DET
ap-1438	72	24	threshold	threshold	NOUN
ap-1438	72	25	;	;	PUNCT
ap-1438	72	26	therefore	therefore	ADV
ap-1438	72	27	we	we	PRON
ap-1438	72	28	re	re	VERB
ap-1438	72	29	-	-	VERB
ap-1438	72	30	define	define	VERB
ap-1438	72	31	δ2min	δ2min	NOUN
ap-1438	72	32	=	=	SYM
ap-1438	72	33	min{||sda	min{||sda	NOUN
ap-1438	72	34	−	−	NOUN
ap-1438	72	35	sd′	sd′	NOUN
ap-1438	72	36	a	a	DET
ap-1438	72	37	||2	||2	NOUN
ap-1438	72	38	,	,	PUNCT
ap-1438	72	39	||sdb	||sdb	NOUN
ap-1438	72	40	−	−	PROPN
ap-1438	72	41	sd′	sd′	NOUN
ap-1438	72	42	b	b	X
ap-1438	72	43	||2	||2	NOUN
ap-1438	72	44	}	}	PUNCT
ap-1438	72	45	,	,	PUNCT
ap-1438	72	46	where	where	SCONJ
ap-1438	72	47	da	da	PROPN
ap-1438	72	48	�	�	PROPN
ap-1438	72	49	=	=	SYM
ap-1438	72	50	d′a	d′a	PROPN
ap-1438	72	51	,	,	PUNCT
ap-1438	72	52	db	db	PROPN
ap-1438	72	53	�	�	PROPN
ap-1438	72	54	=	=	SYM
ap-1438	72	55	d′b	d′b	PROPN
ap-1438	72	56	;	;	PUNCT
ap-1438	72	57	da	da	X
ap-1438	72	58	,	,	PUNCT
ap-1438	72	59	d′a	d′a	PROPN
ap-1438	72	60	,	,	PUNCT
ap-1438	72	61	db	db	PROPN
ap-1438	72	62	,	,	PUNCT
ap-1438	72	63	d′b	d′b	PROPN
ap-1438	72	64	∈	∈	PROPN
ap-1438	72	65	zmd	zmd	PROPN
ap-1438	72	66	to	to	PART
ap-1438	72	67	reflect	reflect	VERB
ap-1438	72	68	the	the	DET
ap-1438	72	69	additional	additional	ADJ
ap-1438	72	70	requirement	requirement	NOUN
ap-1438	72	71	for	for	ADP
ap-1438	72	72	unequal	unequal	ADJ
ap-1438	72	73	alphabets	alphabet	NOUN
ap-1438	72	74	.	.	PUNCT
ap-1438	73	1	3.1	3.1	NUM
ap-1438	73	2	resulting	result	VERB
ap-1438	73	3	optimized	optimize	VERB
ap-1438	73	4	ump	ump	NOUN
ap-1438	73	5	alphabets	alphabet	NOUN
ap-1438	73	6	the	the	DET
ap-1438	73	7	results	result	NOUN
ap-1438	73	8	are	be	AUX
ap-1438	73	9	presented	present	VERB
ap-1438	73	10	in	in	ADP
ap-1438	73	11	table	table	NOUN
ap-1438	73	12	1	1	NUM
ap-1438	73	13	.	.	PUNCT
ap-1438	74	1	in	in	ADP
ap-1438	74	2	the	the	DET
ap-1438	74	3	third	third	ADJ
ap-1438	74	4	column	column	NOUN
ap-1438	74	5	,	,	PUNCT
ap-1438	74	6	maximal	maximal	ADJ
ap-1438	74	7	attainable	attainable	ADJ
ap-1438	74	8	minimal	minimal	ADJ
ap-1438	74	9	distances	distance	NOUN
ap-1438	74	10	δ2min	δ2min	ADP
ap-1438	74	11	not	not	PART
ap-1438	74	12	constrained	constrain	VERB
ap-1438	74	13	by	by	ADP
ap-1438	74	14	the	the	DET
ap-1438	74	15	ump	ump	NOUN
ap-1438	74	16	condition	condition	NOUN
ap-1438	74	17	are	be	AUX
ap-1438	74	18	listed	list	VERB
ap-1438	74	19	as	as	ADP
ap-1438	74	20	a	a	DET
ap-1438	74	21	reference	reference	NOUN
ap-1438	74	22	because	because	SCONJ
ap-1438	74	23	they	they	PRON
ap-1438	74	24	form	form	VERB
ap-1438	74	25	a	a	DET
ap-1438	74	26	natural	natural	ADJ
ap-1438	74	27	upper	upper	ADV
ap-1438	74	28	-	-	PUNCT
ap-1438	74	29	bound	bind	VERB
ap-1438	74	30	at	at	ADP
ap-1438	74	31	δ2min	δ2min	PROPN
ap-1438	74	32	of	of	ADP
ap-1438	74	33	ump	ump	NOUN
ap-1438	74	34	alphabets	alphabet	NOUN
ap-1438	74	35	[	[	X
ap-1438	74	36	9	9	NUM
ap-1438	74	37	]	]	PUNCT
ap-1438	74	38	.	.	PUNCT
ap-1438	75	1	the	the	DET
ap-1438	75	2	4th	4th	ADJ
ap-1438	75	3	and	and	CCONJ
ap-1438	75	4	5th	5th	ADJ
ap-1438	75	5	columns	column	NOUN
ap-1438	75	6	contain	contain	VERB
ap-1438	75	7	the	the	DET
ap-1438	75	8	obtained	obtain	VERB
ap-1438	75	9	ump	ump	NOUN
ap-1438	75	10	alphabets	alphabet	NOUN
ap-1438	75	11	.	.	PUNCT
ap-1438	76	1	table	table	NOUN
ap-1438	76	2	1	1	NUM
ap-1438	76	3	:	:	PUNCT
ap-1438	76	4	numerically	numerically	ADV
ap-1438	76	5	optimized	optimize	VERB
ap-1438	76	6	ump	ump	NOUN
ap-1438	76	7	alphabets	alphabet	NOUN
ap-1438	76	8	md	md	PROPN
ap-1438	76	9	ns	ns	NUM
ap-1438	76	10	δ2min	δ2min	PROPN
ap-1438	76	11	,	,	PUNCT
ap-1438	76	12	not	not	PART
ap-1438	76	13	ump	ump	VERB
ap-1438	76	14	δ2min	δ2min	NOUN
ap-1438	76	15	,	,	PUNCT
ap-1438	76	16	aa	aa	NOUN
ap-1438	76	17	=	=	PROPN
ap-1438	76	18	ab	ab	PROPN
ap-1438	76	19	δ2min	δ2min	PROPN
ap-1438	76	20	,	,	PUNCT
ap-1438	76	21	aa	aa	PROPN
ap-1438	76	22	�	�	PROPN
ap-1438	76	23	=	=	PROPN
ap-1438	76	24	ab	ab	PROPN
ap-1438	76	25	2†	2†	NUM
ap-1438	76	26	)	)	PUNCT
ap-1438	76	27	1	1	NUM
ap-1438	76	28	4	4	NUM
ap-1438	76	29	4	4	NUM
ap-1438	76	30	4	4	NUM
ap-1438	76	31	4	4	NUM
ap-1438	76	32	1‡	1‡	NUM
ap-1438	76	33	)	)	PUNCT
ap-1438	76	34	2	2	NUM
ap-1438	76	35	0.4	0.4	NUM
ap-1438	76	36	0.68	0.68	NUM
ap-1438	76	37	4†	4†	NUM
ap-1438	76	38	)	)	PUNCT
ap-1438	76	39	2	2	NUM
ap-1438	76	40	2.6	2.6	NUM
ap-1438	76	41	2	2	NUM
ap-1438	76	42	2.18	2.18	NUM
ap-1438	76	43	4	4	NUM
ap-1438	76	44	3	3	NUM
ap-1438	76	45	2.6	2.6	NUM
ap-1438	76	46	2.6	2.6	NUM
ap-1438	76	47	2.6	2.6	NUM
ap-1438	76	48	alphabets	alphabet	NOUN
ap-1438	76	49	†	†	X
ap-1438	76	50	have	have	VERB
ap-1438	76	51	the	the	DET
ap-1438	76	52	identical	identical	ADJ
ap-1438	76	53	spectral	spectral	ADJ
ap-1438	76	54	efficiency	efficiency	NOUN
ap-1438	76	55	r	r	NOUN
ap-1438	76	56	=	=	PUNCT
ap-1438	76	57	log2md	log2md	X
ap-1438	76	58	ns	ns	NUM
ap-1438	76	59	=	=	SYM
ap-1438	76	60	1	1	NUM
ap-1438	76	61	,	,	PUNCT
ap-1438	76	62	where	where	SCONJ
ap-1438	76	63	the	the	DET
ap-1438	76	64	extra	extra	ADJ
ap-1438	76	65	dimensionality	dimensionality	NOUN
ap-1438	76	66	is	be	AUX
ap-1438	76	67	taken	take	VERB
ap-1438	76	68	as	as	ADP
ap-1438	76	69	extra	extra	ADJ
ap-1438	76	70	time	time	NOUN
ap-1438	76	71	-	-	PUNCT
ap-1438	76	72	slots	slot	NOUN
ap-1438	76	73	and	and	CCONJ
ap-1438	76	74	a	a	DET
ap-1438	76	75	fair	fair	ADJ
ap-1438	76	76	mutual	mutual	ADJ
ap-1438	76	77	comparison	comparison	NOUN
ap-1438	76	78	by	by	ADP
ap-1438	76	79	minimal	minimal	ADJ
ap-1438	76	80	euclidean	euclidean	ADJ
ap-1438	76	81	distance	distance	NOUN
ap-1438	76	82	can	can	AUX
ap-1438	76	83	be	be	AUX
ap-1438	76	84	made	make	VERB
ap-1438	76	85	;	;	PUNCT
ap-1438	76	86	here	here	ADV
ap-1438	76	87	we	we	PRON
ap-1438	76	88	need	need	VERB
ap-1438	76	89	to	to	PART
ap-1438	76	90	reflect	reflect	VERB
ap-1438	76	91	that	that	SCONJ
ap-1438	76	92	the	the	DET
ap-1438	76	93	modulation	modulation	NOUN
ap-1438	76	94	should	should	AUX
ap-1438	76	95	have	have	VERB
ap-1438	76	96	the	the	DET
ap-1438	76	97	same	same	ADJ
ap-1438	76	98	mean	mean	NOUN
ap-1438	76	99	symbol	symbol	NOUN
ap-1438	76	100	energy	energy	NOUN
ap-1438	76	101	per	per	ADP
ap-1438	76	102	timeslot	timeslot	NOUN
ap-1438	76	103	(	(	PUNCT
ap-1438	76	104	i.e.	i.e.	X
ap-1438	76	105	with	with	ADP
ap-1438	76	106	the	the	DET
ap-1438	76	107	same	same	ADJ
ap-1438	76	108	mean	mean	NOUN
ap-1438	76	109	power	power	NOUN
ap-1438	76	110	)	)	PUNCT
ap-1438	76	111	,	,	PUNCT
ap-1438	76	112	thus	thus	ADV
ap-1438	76	113	in	in	ADP
ap-1438	76	114	fact	fact	NOUN
ap-1438	76	115	the	the	DET
ap-1438	76	116	case	case	NOUN
ap-1438	76	117	(	(	PUNCT
ap-1438	76	118	md	md	PROPN
ap-1438	76	119	=	=	SYM
ap-1438	76	120	4	4	NUM
ap-1438	76	121	,	,	PUNCT
ap-1438	76	122	ns	ns	ADJ
ap-1438	76	123	=	=	NOUN
ap-1438	76	124	2,aa	2,aa	NUM
ap-1438	76	125	=	=	SYM
ap-1438	76	126	ab	ab	PROPN
ap-1438	76	127	)	)	PUNCT
ap-1438	76	128	,	,	PUNCT
ap-1438	76	129	called	call	VERB
ap-1438	76	130	a	a	DET
ap-1438	76	131	4ary	4ary	NUM
ap-1438	76	132	2d	2d	NOUN
ap-1438	76	133	-	-	PUNCT
ap-1438	76	134	ump	ump	NOUN
ap-1438	76	135	alphabet	alphabet	NOUN
ap-1438	76	136	,	,	PUNCT
ap-1438	76	137	has	have	VERB
ap-1438	76	138	δ2min	δ2min	NOUN
ap-1438	76	139	=	=	SYM
ap-1438	76	140	4	4	NUM
ap-1438	76	141	,	,	PUNCT
ap-1438	76	142	which	which	PRON
ap-1438	76	143	is	be	AUX
ap-1438	76	144	directly	directly	ADV
ap-1438	76	145	equal	equal	ADJ
ap-1438	76	146	to	to	ADP
ap-1438	76	147	bpsk	bpsk	NOUN
ap-1438	76	148	,	,	PUNCT
ap-1438	76	149	and	and	CCONJ
ap-1438	76	150	the	the	DET
ap-1438	76	151	alphabet	alphabet	NOUN
ap-1438	76	152	(	(	PUNCT
ap-1438	76	153	md	md	PROPN
ap-1438	76	154	=	=	SYM
ap-1438	76	155	4	4	NUM
ap-1438	76	156	,	,	PUNCT
ap-1438	76	157	ns	ns	ADJ
ap-1438	76	158	=	=	NOUN
ap-1438	76	159	2,aa	2,aa	NUM
ap-1438	76	160	�	�	PROPN
ap-1438	76	161	=	=	SYM
ap-1438	76	162	ab	ab	PROPN
ap-1438	76	163	)	)	PUNCT
ap-1438	76	164	,	,	PUNCT
ap-1438	76	165	called	call	VERB
ap-1438	76	166	a	a	DET
ap-1438	76	167	4ary	4ary	NUM
ap-1438	76	168	unequal	unequal	ADJ
ap-1438	76	169	2dump	2dump	NUM
ap-1438	76	170	alphabet	alphabet	NOUN
ap-1438	76	171	,	,	PUNCT
ap-1438	76	172	then	then	ADV
ap-1438	76	173	has	have	VERB
ap-1438	76	174	δ2min	δ2min	NOUN
ap-1438	76	175	=	=	NUM
ap-1438	76	176	4.36	4.36	NUM
ap-1438	76	177	,	,	PUNCT
ap-1438	76	178	which	which	PRON
ap-1438	76	179	is	be	AUX
ap-1438	76	180	better	well	ADJ
ap-1438	76	181	by	by	ADP
ap-1438	76	182	10	10	NUM
ap-1438	76	183	log10	log10	PROPN
ap-1438	76	184	4.36	4.36	NUM
ap-1438	76	185	4	4	NUM
ap-1438	76	186	�	�	PROPN
ap-1438	76	187	0.37db	0.37db	NUM
ap-1438	76	188	than	than	ADP
ap-1438	76	189	bpsk	bpsk	NOUN
ap-1438	76	190	,	,	PUNCT
ap-1438	76	191	see	see	VERB
ap-1438	76	192	its	its	PRON
ap-1438	76	193	hierarchical	hierarchical	ADJ
ap-1438	76	194	minimal	minimal	ADJ
ap-1438	76	195	distance	distance	NOUN
ap-1438	76	196	in	in	ADP
ap-1438	76	197	figure	figure	NOUN
ap-1438	76	198	2	2	NUM
ap-1438	76	199	and	and	CCONJ
ap-1438	76	200	the	the	DET
ap-1438	76	201	error	error	NOUN
ap-1438	76	202	performance	performance	NOUN
ap-1438	76	203	comparison	comparison	NOUN
ap-1438	76	204	in	in	ADP
ap-1438	76	205	fig	fig	NOUN
ap-1438	76	206	.	.	PUNCT
ap-1438	77	1	6	6	X
ap-1438	77	2	.	.	X
ap-1438	77	3	alphabets	alphabet	NOUN
ap-1438	77	4	‡	‡	VERB
ap-1438	77	5	for	for	ADP
ap-1438	77	6	both	both	PRON
ap-1438	77	7	aa	aa	NOUN
ap-1438	77	8	=	=	PUNCT
ap-1438	77	9	ab	ab	PROPN
ap-1438	77	10	and	and	CCONJ
ap-1438	77	11	aa	aa	PROPN
ap-1438	77	12	�	�	PROPN
ap-1438	77	13	=	=	PROPN
ap-1438	77	14	ab	ab	PROPN
ap-1438	77	15	fulfill	fulfill	NOUN
ap-1438	77	16	the	the	DET
ap-1438	77	17	ump	ump	NOUN
ap-1438	77	18	condition	condition	NOUN
ap-1438	77	19	only	only	ADV
ap-1438	77	20	for	for	ADP
ap-1438	77	21	the	the	DET
ap-1438	77	22	channel	channel	NOUN
ap-1438	77	23	parameter	parameter	NOUN
ap-1438	77	24	|α|	|α|	PROPN
ap-1438	77	25	=	=	SYM
ap-1438	77	26	1	1	NUM
ap-1438	77	27	(	(	PUNCT
ap-1438	77	28	we	we	PRON
ap-1438	77	29	call	call	VERB
ap-1438	77	30	these	these	DET
ap-1438	77	31	weak	weak	ADJ
ap-1438	77	32	-	-	PUNCT
ap-1438	77	33	ump	ump	NOUN
ap-1438	77	34	alphabets	alphabet	NOUN
ap-1438	77	35	)	)	PUNCT
ap-1438	77	36	,	,	PUNCT
ap-1438	77	37	since	since	SCONJ
ap-1438	77	38	1d	1d	NUM
ap-1438	77	39	-	-	PUNCT
ap-1438	77	40	ump	ump	NOUN
ap-1438	77	41	alphabets	alphabet	NOUN
ap-1438	77	42	must	must	AUX
ap-1438	77	43	be	be	AUX
ap-1438	77	44	binary	binary	NOUN
ap-1438	78	1	only	only	ADV
ap-1438	78	2	[	[	X
ap-1438	78	3	9	9	NUM
ap-1438	78	4	]	]	PUNCT
ap-1438	78	5	.	.	PUNCT
ap-1438	79	1	the	the	DET
ap-1438	79	2	optimal	optimal	ADJ
ap-1438	79	3	alphabet	alphabet	NOUN
ap-1438	79	4	for	for	ADP
ap-1438	79	5	(	(	PUNCT
ap-1438	79	6	md	md	PROPN
ap-1438	79	7	=	=	SYM
ap-1438	79	8	4	4	NUM
ap-1438	79	9	,	,	PUNCT
ap-1438	79	10	ns	ns	NUM
ap-1438	79	11	=	=	SYM
ap-1438	79	12	1,aa	1,aa	NOUN
ap-1438	79	13	=	=	SYM
ap-1438	79	14	ab	ab	PROPN
ap-1438	79	15	)	)	PUNCT
ap-1438	79	16	:	:	PUNCT
ap-1438	79	17	a	a	X
ap-1438	79	18	=	=	PUNCT
ap-1438	79	19	{	{	PUNCT
ap-1438	79	20	−2	−2	NOUN
ap-1438	79	21	√	√	ADV
ap-1438	79	22	2	2	NUM
ap-1438	79	23	5	5	NUM
ap-1438	79	24	,	,	PUNCT
ap-1438	79	25	−	−	PROPN
ap-1438	79	26	√	√	ADV
ap-1438	79	27	2	2	NUM
ap-1438	79	28	5	5	NUM
ap-1438	79	29	,	,	PUNCT
ap-1438	79	30	√	√	NUM
ap-1438	79	31	2	2	NUM
ap-1438	79	32	5	5	NUM
ap-1438	79	33	,	,	PUNCT
ap-1438	79	34	2	2	NUM
ap-1438	79	35	√	√	NUM
ap-1438	79	36	2	2	NUM
ap-1438	79	37	5	5	NUM
ap-1438	79	38	}	}	PUNCT
ap-1438	79	39	,	,	PUNCT
ap-1438	79	40	see	see	VERB
ap-1438	79	41	the	the	DET
ap-1438	79	42	constellation	constellation	NOUN
ap-1438	79	43	in	in	ADP
ap-1438	79	44	figure	figure	NOUN
ap-1438	79	45	3	3	NUM
ap-1438	79	46	and	and	CCONJ
ap-1438	79	47	its	its	PRON
ap-1438	79	48	hierarchical	hierarchical	ADJ
ap-1438	79	49	minimal	minimal	ADJ
ap-1438	79	50	distance	distance	NOUN
ap-1438	79	51	depicted	depict	VERB
ap-1438	79	52	in	in	ADP
ap-1438	79	53	figure	figure	NOUN
ap-1438	79	54	1	1	NUM
ap-1438	79	55	,	,	PUNCT
ap-1438	79	56	surprisingly	surprisingly	ADV
ap-1438	79	57	resembles	resemble	VERB
ap-1438	79	58	4	4	NUM
ap-1438	79	59	-	-	PUNCT
ap-1438	79	60	ask	ask	VERB
ap-1438	79	61	fig	fig	NOUN
ap-1438	79	62	.	.	PUNCT
ap-1438	80	1	1	1	NUM
ap-1438	80	2	:	:	PUNCT
ap-1438	80	3	parametric	parametric	ADJ
ap-1438	80	4	hierarchical	hierarchical	ADJ
ap-1438	80	5	minimal	minimal	ADJ
ap-1438	80	6	distance	distance	NOUN
ap-1438	80	7	of	of	ADP
ap-1438	80	8	quaternary	quaternary	ADJ
ap-1438	80	9	1d	1d	NUM
ap-1438	80	10	-	-	PUNCT
ap-1438	80	11	weak	weak	ADJ
ap-1438	80	12	ump	ump	NOUN
ap-1438	80	13	with	with	ADP
ap-1438	80	14	equal	equal	ADJ
ap-1438	80	15	alphabets	alphabet	NOUN
ap-1438	80	16	fig	fig	NOUN
ap-1438	80	17	.	.	PUNCT
ap-1438	81	1	2	2	NUM
ap-1438	81	2	:	:	PUNCT
ap-1438	81	3	parametric	parametric	ADJ
ap-1438	81	4	hierarchical	hierarchical	ADJ
ap-1438	81	5	minimal	minimal	ADJ
ap-1438	81	6	distance	distance	NOUN
ap-1438	81	7	of	of	ADP
ap-1438	81	8	quaternary	quaternary	ADJ
ap-1438	81	9	2d	2d	NOUN
ap-1438	81	10	-	-	PUNCT
ap-1438	81	11	ump	ump	NOUN
ap-1438	81	12	with	with	ADP
ap-1438	81	13	equal	equal	ADJ
ap-1438	81	14	alphabets	alphabet	NOUN
ap-1438	81	15	55	55	NUM
ap-1438	81	16	acta	acta	PROPN
ap-1438	81	17	polytechnica	polytechnica	PROPN
ap-1438	81	18	vol	vol	NOUN
ap-1438	81	19	.	.	PUNCT
ap-1438	82	1	51	51	NUM
ap-1438	82	2	no	no	NOUN
ap-1438	82	3	.	.	PUNCT
ap-1438	83	1	5/2011	5/2011	NUM
ap-1438	83	2	�	�	PROPN
ap-1438	83	3	1.5	1.5	NUM
ap-1438	83	4	�	�	PROPN
ap-1438	83	5	1.0	1.0	NUM
ap-1438	83	6	�	�	NOUN
ap-1438	83	7	0.5	0.5	NUM
ap-1438	83	8	0.5	0.5	NUM
ap-1438	83	9	1.0	1.0	NUM
ap-1438	83	10	1.5	1.5	NUM
ap-1438	83	11	re	re	NOUN
ap-1438	83	12	�	�	PROPN
ap-1438	83	13	1.0	1.0	NUM
ap-1438	83	14	�	�	SYM
ap-1438	83	15	0.5	0.5	NUM
ap-1438	83	16	0.5	0.5	NUM
ap-1438	83	17	1.0	1.0	NUM
ap-1438	83	18	i	i	PRON
ap-1438	83	19	m	m	VERB
ap-1438	83	20	fig	fig	NOUN
ap-1438	83	21	.	.	PUNCT
ap-1438	84	1	3	3	NUM
ap-1438	84	2	:	:	PUNCT
ap-1438	84	3	the	the	DET
ap-1438	84	4	constellation	constellation	NOUN
ap-1438	84	5	of	of	ADP
ap-1438	84	6	4ary	4ary	NUM
ap-1438	84	7	1d	1d	NUM
ap-1438	84	8	-	-	PUNCT
ap-1438	84	9	ump	ump	NOUN
ap-1438	84	10	with	with	ADP
ap-1438	84	11	equal	equal	ADJ
ap-1438	84	12	alphabets	alphabet	NOUN
ap-1438	84	13	resembles	resemble	VERB
ap-1438	84	14	standard	standard	ADJ
ap-1438	84	15	4	4	NUM
ap-1438	84	16	-	-	PUNCT
ap-1438	84	17	ask	ask	NOUN
ap-1438	84	18	modulation	modulation	NOUN
ap-1438	84	19	�	�	PROPN
ap-1438	84	20	1.5	1.5	NUM
ap-1438	84	21	�	�	PROPN
ap-1438	84	22	1.0	1.0	NUM
ap-1438	84	23	�	�	NOUN
ap-1438	84	24	0.5	0.5	NUM
ap-1438	84	25	0.5	0.5	NUM
ap-1438	84	26	1.0	1.0	NUM
ap-1438	84	27	1.5	1.5	NUM
ap-1438	84	28	re	re	NOUN
ap-1438	84	29	�	�	PROPN
ap-1438	84	30	1.5	1.5	NUM
ap-1438	84	31	�	�	PROPN
ap-1438	84	32	1.0	1.0	NUM
ap-1438	84	33	�	�	NOUN
ap-1438	84	34	0.5	0.5	NUM
ap-1438	84	35	0.5	0.5	NUM
ap-1438	84	36	1.0	1.0	NUM
ap-1438	84	37	1.5	1.5	NUM
ap-1438	84	38	i	i	NOUN
ap-1438	84	39	m	m	VERB
ap-1438	84	40	�	�	PROPN
ap-1438	84	41	1.5	1.5	NUM
ap-1438	84	42	�	�	PROPN
ap-1438	84	43	1.0	1.0	NUM
ap-1438	84	44	�	�	NOUN
ap-1438	84	45	0.5	0.5	NUM
ap-1438	84	46	0.5	0.5	NUM
ap-1438	84	47	1.0	1.0	NUM
ap-1438	84	48	1.5	1.5	NUM
ap-1438	84	49	re	re	NOUN
ap-1438	84	50	�	�	PROPN
ap-1438	84	51	1.5	1.5	NUM
ap-1438	84	52	�	�	PROPN
ap-1438	84	53	1.0	1.0	NUM
ap-1438	84	54	�	�	NOUN
ap-1438	84	55	0.5	0.5	NUM
ap-1438	84	56	0.5	0.5	NUM
ap-1438	84	57	1.0	1.0	NUM
ap-1438	84	58	1.5	1.5	NUM
ap-1438	84	59	i	i	NOUN
ap-1438	84	60	m	m	VERB
ap-1438	84	61	fig	fig	NOUN
ap-1438	84	62	.	.	PUNCT
ap-1438	85	1	4	4	NUM
ap-1438	85	2	:	:	PUNCT
ap-1438	85	3	the	the	DET
ap-1438	85	4	constellations	constellation	NOUN
ap-1438	85	5	of	of	ADP
ap-1438	85	6	quaternary	quaternary	ADJ
ap-1438	85	7	1d	1d	NUM
ap-1438	85	8	-	-	PUNCT
ap-1438	85	9	ump	ump	NOUN
ap-1438	85	10	with	with	ADP
ap-1438	85	11	unequal	unequal	ADJ
ap-1438	85	12	alphabets	alphabet	NOUN
ap-1438	85	13	,	,	PUNCT
ap-1438	85	14	alphabets	alphabet	NOUN
ap-1438	85	15	aa	aa	NOUN
ap-1438	85	16	and	and	CCONJ
ap-1438	85	17	ab	ab	PROPN
ap-1438	85	18	,	,	PUNCT
ap-1438	85	19	respectively	respectively	ADV
ap-1438	85	20	,	,	PUNCT
ap-1438	85	21	resembles	resemble	VERB
ap-1438	85	22	the	the	DET
ap-1438	85	23	scaled	scale	VERB
ap-1438	85	24	versions	version	NOUN
ap-1438	85	25	of	of	ADP
ap-1438	85	26	standard	standard	ADJ
ap-1438	85	27	qpsk	qpsk	NOUN
ap-1438	85	28	constellations	constellation	NOUN
ap-1438	85	29	modulation	modulation	NOUN
ap-1438	85	30	:	:	PUNCT
ap-1438	85	31	a	a	DET
ap-1438	85	32	=	=	PUNCT
ap-1438	85	33	{	{	PUNCT
ap-1438	85	34	−	−	PROPN
ap-1438	85	35	3√	3√	NOUN
ap-1438	85	36	5	5	NUM
ap-1438	85	37	,	,	PUNCT
ap-1438	85	38	−	−	PROPN
ap-1438	85	39	1√	1√	PROPN
ap-1438	85	40	5	5	NUM
ap-1438	85	41	,	,	PUNCT
ap-1438	85	42	1√	1√	PROPN
ap-1438	85	43	5	5	NUM
ap-1438	85	44	,	,	PUNCT
ap-1438	85	45	3√	3√	NOUN
ap-1438	85	46	5	5	NUM
ap-1438	85	47	}	}	PUNCT
ap-1438	85	48	.	.	PUNCT
ap-1438	86	1	the	the	DET
ap-1438	86	2	other	other	ADJ
ap-1438	86	3	optimal	optimal	ADJ
ap-1438	86	4	case	case	NOUN
ap-1438	86	5	‡	‡	PUNCT
ap-1438	86	6	with	with	ADP
ap-1438	86	7	(	(	PUNCT
ap-1438	86	8	md	md	PROPN
ap-1438	86	9	=	=	SYM
ap-1438	86	10	4	4	NUM
ap-1438	86	11	,	,	PUNCT
ap-1438	86	12	ns	ns	NUM
ap-1438	86	13	=	=	NOUN
ap-1438	86	14	1	1	NUM
ap-1438	86	15	)	)	PUNCT
ap-1438	86	16	and	and	CCONJ
ap-1438	86	17	aa	aa	PROPN
ap-1438	86	18	�	�	PROPN
ap-1438	86	19	=	=	SYM
ap-1438	86	20	ab	ab	PROPN
ap-1438	86	21	astonishingly	astonishingly	ADV
ap-1438	86	22	seems	seem	VERB
ap-1438	86	23	to	to	PART
ap-1438	86	24	correspond	correspond	VERB
ap-1438	86	25	to	to	ADP
ap-1438	86	26	the	the	DET
ap-1438	86	27	scaled	scale	VERB
ap-1438	86	28	versions	version	NOUN
ap-1438	86	29	of	of	ADP
ap-1438	86	30	two	two	NUM
ap-1438	86	31	qpsk	qpsk	NOUN
ap-1438	86	32	constellations	constellation	NOUN
ap-1438	86	33	,	,	PUNCT
ap-1438	86	34	see	see	VERB
ap-1438	86	35	figure	figure	NOUN
ap-1438	86	36	4	4	NUM
ap-1438	86	37	.	.	NOUN
ap-1438	86	38	4	4	NUM
ap-1438	86	39	performance	performance	NOUN
ap-1438	86	40	evaluation	evaluation	NOUN
ap-1438	86	41	in	in	ADP
ap-1438	86	42	this	this	DET
ap-1438	86	43	section	section	NOUN
ap-1438	86	44	,	,	PUNCT
ap-1438	86	45	we	we	PRON
ap-1438	86	46	compare	compare	VERB
ap-1438	86	47	the	the	DET
ap-1438	86	48	symbol	symbol	NOUN
ap-1438	86	49	error	error	NOUN
ap-1438	86	50	rate	rate	NOUN
ap-1438	86	51	(	(	PUNCT
ap-1438	86	52	ser	ser	NOUN
ap-1438	86	53	)	)	PUNCT
ap-1438	86	54	of	of	ADP
ap-1438	86	55	quaternary	quaternary	ADJ
ap-1438	86	56	1d	1d	NUM
ap-1438	86	57	alphabets	alphabet	NOUN
ap-1438	86	58	:	:	PUNCT
ap-1438	86	59	qpsk	qpsk	NOUN
ap-1438	86	60	,	,	PUNCT
ap-1438	86	61	4	4	NUM
ap-1438	86	62	-	-	NOUN
ap-1438	86	63	ask	ask	NOUN
ap-1438	86	64	and	and	CCONJ
ap-1438	86	65	the	the	DET
ap-1438	86	66	proposed	propose	VERB
ap-1438	86	67	4ary	4ary	NUM
ap-1438	86	68	1d	1d	NUM
ap-1438	86	69	-	-	PUNCT
ap-1438	86	70	ump	ump	NOUN
ap-1438	86	71	alphabets	alphabet	NOUN
ap-1438	86	72	with	with	ADP
ap-1438	86	73	equal	equal	ADJ
ap-1438	86	74	and	and	CCONJ
ap-1438	86	75	unequal	unequal	ADJ
ap-1438	86	76	alphabets	alphabet	NOUN
ap-1438	86	77	‡.	‡.	VERB
ap-1438	86	78	the	the	DET
ap-1438	86	79	error	error	NOUN
ap-1438	86	80	performance	performance	NOUN
ap-1438	86	81	in	in	ADP
ap-1438	86	82	figure	figure	NOUN
ap-1438	86	83	5	5	NUM
ap-1438	86	84	is	be	AUX
ap-1438	86	85	in	in	ADP
ap-1438	86	86	accordance	accordance	NOUN
ap-1438	86	87	with	with	ADP
ap-1438	86	88	our	our	PRON
ap-1438	86	89	expectations	expectation	NOUN
ap-1438	86	90	.	.	PUNCT
ap-1438	87	1	in	in	ADP
ap-1438	87	2	the	the	DET
ap-1438	87	3	rayleigh	rayleigh	PROPN
ap-1438	87	4	fading	fade	VERB
ap-1438	87	5	channel	channel	NOUN
ap-1438	87	6	the	the	DET
ap-1438	87	7	ump	ump	NOUN
ap-1438	87	8	condition	condition	NOUN
ap-1438	87	9	is	be	AUX
ap-1438	87	10	not	not	PART
ap-1438	87	11	so	so	ADV
ap-1438	87	12	interesting	interesting	ADJ
ap-1438	87	13	,	,	PUNCT
ap-1438	87	14	rather	rather	ADV
ap-1438	87	15	the	the	DET
ap-1438	87	16	overall	overall	ADJ
ap-1438	87	17	δ2min	δ2min	PROPN
ap-1438	87	18	is	be	AUX
ap-1438	87	19	determining	determine	VERB
ap-1438	87	20	.	.	PUNCT
ap-1438	88	1	in	in	ADP
ap-1438	88	2	contrast	contrast	NOUN
ap-1438	88	3	to	to	ADP
ap-1438	88	4	rayleigh	rayleigh	PROPN
ap-1438	88	5	fading	fading	NOUN
ap-1438	88	6	,	,	PUNCT
ap-1438	88	7	it	it	PRON
ap-1438	88	8	is	be	AUX
ap-1438	88	9	preferable	preferable	ADJ
ap-1438	88	10	to	to	PART
ap-1438	88	11	use	use	VERB
ap-1438	88	12	ump	ump	NOUN
ap-1438	88	13	alphabets	alphabet	NOUN
ap-1438	88	14	even	even	ADV
ap-1438	88	15	at	at	ADP
ap-1438	88	16	the	the	DET
ap-1438	88	17	price	price	NOUN
ap-1438	88	18	of	of	ADP
ap-1438	88	19	lower	low	ADJ
ap-1438	88	20	δ2min	δ2min	NOUN
ap-1438	88	21	in	in	ADP
ap-1438	88	22	the	the	DET
ap-1438	88	23	rician	rician	PROPN
ap-1438	88	24	fading	fade	VERB
ap-1438	88	25	channel	channel	NOUN
ap-1438	88	26	(	(	PUNCT
ap-1438	88	27	here	here	ADV
ap-1438	88	28	the	the	DET
ap-1438	88	29	rician	rician	ADJ
ap-1438	88	30	factor	factor	NOUN
ap-1438	88	31	k	k	PROPN
ap-1438	88	32	=	=	PUNCT
ap-1438	88	33	10db	10db	NOUN
ap-1438	88	34	)	)	PUNCT
ap-1438	88	35	.	.	PUNCT
ap-1438	89	1	a	a	DET
ap-1438	89	2	remarkable	remarkable	ADJ
ap-1438	89	3	observation	observation	NOUN
ap-1438	89	4	is	be	AUX
ap-1438	89	5	that	that	SCONJ
ap-1438	89	6	for	for	ADP
ap-1438	89	7	sufficiently	sufficiently	ADV
ap-1438	89	8	strong	strong	ADJ
ap-1438	89	9	snr	snr	NOUN
ap-1438	89	10	the	the	DET
ap-1438	89	11	performance	performance	NOUN
ap-1438	89	12	of	of	ADP
ap-1438	89	13	4ary	4ary	NUM
ap-1438	89	14	1d	1d	NUM
ap-1438	89	15	-	-	PUNCT
ap-1438	89	16	ump	ump	NOUN
ap-1438	89	17	for	for	ADP
ap-1438	89	18	equal	equal	ADJ
ap-1438	89	19	and	and	CCONJ
ap-1438	89	20	unequal	unequal	ADJ
ap-1438	89	21	alphabets	alphabet	NOUN
ap-1438	89	22	is	be	AUX
ap-1438	89	23	almost	almost	ADV
ap-1438	89	24	identical	identical	ADJ
ap-1438	89	25	.	.	PUNCT
ap-1438	90	1	0	0	NUM
ap-1438	91	1	5	5	NUM
ap-1438	91	2	10	10	NUM
ap-1438	91	3	15	15	NUM
ap-1438	91	4	20	20	NUM
ap-1438	91	5	25	25	NUM
ap-1438	91	6	30	30	NUM
ap-1438	91	7	35	35	NUM
ap-1438	91	8	10	10	NUM
ap-1438	91	9	−4	−4	NUM
ap-1438	91	10	10	10	NUM
ap-1438	91	11	−3	−3	NOUN
ap-1438	91	12	10	10	NUM
ap-1438	91	13	−2	−2	NOUN
ap-1438	91	14	10	10	NUM
ap-1438	91	15	−1	−1	NOUN
ap-1438	91	16	10	10	NUM
ap-1438	91	17	0	0	NUM
ap-1438	91	18	symbol	symbol	NOUN
ap-1438	91	19	error	error	NOUN
ap-1438	91	20	performance	performance	NOUN
ap-1438	91	21	of	of	ADP
ap-1438	91	22	hdf	hdf	NOUN
ap-1438	91	23	in	in	ADP
ap-1438	91	24	2−wrc	2−wrc	NUM
ap-1438	91	25	with	with	ADP
ap-1438	91	26	rayleigh	rayleigh	PROPN
ap-1438	91	27	/	/	SYM
ap-1438	91	28	rice	rice	NOUN
ap-1438	91	29	fading	fade	VERB
ap-1438	91	30	mean	mean	NOUN
ap-1438	91	31	es	es	NOUN
ap-1438	91	32	/	/	SYM
ap-1438	91	33	n0	n0	NOUN
ap-1438	91	34	[	[	X
ap-1438	91	35	db	db	X
ap-1438	91	36	]	]	X
ap-1438	91	37	s	s	PART
ap-1438	91	38	ym	ym	INTJ
ap-1438	91	39	bo	bo	PROPN
ap-1438	91	40	l	l	PROPN
ap-1438	91	41	e	e	X
ap-1438	91	42	rr	rr	NOUN
ap-1438	91	43	or	or	CCONJ
ap-1438	91	44	r	r	VERB
ap-1438	91	45	at	at	ADP
ap-1438	91	46	e	e	NOUN
ap-1438	91	47	qpsk	qpsk	NOUN
ap-1438	91	48	in	in	ADP
ap-1438	91	49	rayleigh	rayleigh	PROPN
ap-1438	91	50	4−ask	4−ask	PROPN
ap-1438	91	51	modsum	modsum	PROPN
ap-1438	91	52	in	in	ADP
ap-1438	91	53	rayleigh	rayleigh	PROPN
ap-1438	91	54	4−ask	4−ask	PROPN
ap-1438	91	55	bitxor	bitxor	PROPN
ap-1438	91	56	in	in	ADP
ap-1438	91	57	rayleigh	rayleigh	PROPN
ap-1438	91	58	4ary	4ary	PROPN
ap-1438	91	59	1d−ump	1d−ump	NUM
ap-1438	91	60	equal	equal	ADJ
ap-1438	91	61	alphabets	alphabet	NOUN
ap-1438	91	62	in	in	ADP
ap-1438	91	63	rayleigh	rayleigh	PROPN
ap-1438	91	64	4ary	4ary	PROPN
ap-1438	91	65	1d−ump	1d−ump	NUM
ap-1438	91	66	unequal	unequal	ADJ
ap-1438	91	67	alphabets	alphabet	NOUN
ap-1438	91	68	in	in	ADP
ap-1438	91	69	rayleigh	rayleigh	PROPN
ap-1438	91	70	qpsk	qpsk	NOUN
ap-1438	91	71	in	in	ADP
ap-1438	91	72	rice	rice	NOUN
ap-1438	91	73	k=10db	k=10db	NOUN
ap-1438	92	1	4−ask	4−ask	PROPN
ap-1438	92	2	modsum	modsum	PROPN
ap-1438	92	3	in	in	ADP
ap-1438	92	4	rice	rice	NOUN
ap-1438	92	5	k=10db	k=10db	NOUN
ap-1438	93	1	4−ask	4−ask	PROPN
ap-1438	93	2	bitxor	bitxor	PROPN
ap-1438	93	3	in	in	ADP
ap-1438	93	4	rice	rice	NOUN
ap-1438	93	5	k=10db	k=10db	NOUN
ap-1438	94	1	4ary	4ary	NOUN
ap-1438	94	2	1d−ump	1d−ump	NUM
ap-1438	94	3	equal	equal	ADJ
ap-1438	94	4	alphabets	alphabet	NOUN
ap-1438	94	5	in	in	ADP
ap-1438	94	6	rice	rice	NOUN
ap-1438	94	7	k=10db	k=10db	NOUN
ap-1438	95	1	4ary	4ary	NOUN
ap-1438	95	2	1d−ump	1d−ump	NUM
ap-1438	95	3	unequal	unequal	ADJ
ap-1438	95	4	alphabets	alphabet	NOUN
ap-1438	95	5	in	in	ADP
ap-1438	95	6	rice	rice	NOUN
ap-1438	95	7	k=10db	k=10db	PROPN
ap-1438	95	8	fig	fig	PROPN
ap-1438	95	9	.	.	PUNCT
ap-1438	96	1	5	5	NUM
ap-1438	96	2	:	:	PUNCT
ap-1438	96	3	symbol	symbol	NOUN
ap-1438	96	4	error	error	NOUN
ap-1438	96	5	rate	rate	NOUN
ap-1438	96	6	of	of	ADP
ap-1438	96	7	quaternary	quaternary	ADJ
ap-1438	96	8	alphabets	alphabet	NOUN
ap-1438	96	9	with	with	ADP
ap-1438	96	10	a	a	DET
ap-1438	96	11	single	single	ADJ
ap-1438	96	12	complex	complex	ADJ
ap-1438	96	13	dimension	dimension	NOUN
ap-1438	96	14	bit	bit	NOUN
ap-1438	96	15	throughput	throughput	NOUN
ap-1438	96	16	is	be	AUX
ap-1438	96	17	a	a	DET
ap-1438	96	18	relevant	relevant	ADJ
ap-1438	96	19	performance	performance	NOUN
ap-1438	96	20	measure	measure	NOUN
ap-1438	96	21	for	for	ADP
ap-1438	96	22	alphabets	alphabet	NOUN
ap-1438	96	23	with	with	ADP
ap-1438	96	24	the	the	DET
ap-1438	96	25	same	same	ADJ
ap-1438	96	26	spectral	spectral	NOUN
ap-1438	96	27	efficiency†.	efficiency†.	NUM
ap-1438	96	28	in	in	ADP
ap-1438	96	29	figure	figure	NOUN
ap-1438	96	30	6	6	NUM
ap-1438	96	31	we	we	PRON
ap-1438	96	32	compare	compare	VERB
ap-1438	96	33	bpsk	bpsk	NOUN
ap-1438	96	34	with	with	ADP
ap-1438	96	35	quaternary	quaternary	ADJ
ap-1438	96	36	2dump	2dump	NUM
ap-1438	96	37	alphabets	alphabet	NOUN
ap-1438	96	38	with	with	ADP
ap-1438	96	39	the	the	DET
ap-1438	96	40	case	case	NOUN
ap-1438	96	41	of	of	ADP
ap-1438	96	42	equal	equal	ADJ
ap-1438	96	43	and	and	CCONJ
ap-1438	96	44	unequal	unequal	ADJ
ap-1438	96	45	alphabets	alphabet	NOUN
ap-1438	96	46	.	.	PUNCT
ap-1438	97	1	as	as	SCONJ
ap-1438	97	2	expected	expect	VERB
ap-1438	97	3	,	,	PUNCT
ap-1438	97	4	the	the	DET
ap-1438	97	5	quaternary	quaternary	ADJ
ap-1438	97	6	unequal	unequal	ADJ
ap-1438	97	7	2dump	2dump	NUM
ap-1438	97	8	alphabet	alphabet	NOUN
ap-1438	97	9	outperforms	outperform	VERB
ap-1438	97	10	bpsk	bpsk	NOUN
ap-1438	97	11	by	by	ADP
ap-1438	97	12	∼	∼	NOUN
ap-1438	97	13	0.5db	0.5db	ADJ
ap-1438	97	14	.	.	PUNCT
ap-1438	98	1	at	at	ADP
ap-1438	98	2	the	the	DET
ap-1438	98	3	cost	cost	NOUN
ap-1438	98	4	of	of	ADP
ap-1438	98	5	lower	low	ADJ
ap-1438	98	6	spectral	spectral	ADJ
ap-1438	98	7	efficiency	efficiency	NOUN
ap-1438	98	8	,	,	PUNCT
ap-1438	98	9	4ary	4ary	NOUN
ap-1438	98	10	3d	3d	NOUN
ap-1438	98	11	-	-	PUNCT
ap-1438	98	12	ump	ump	NOUN
ap-1438	98	13	has	have	VERB
ap-1438	98	14	better	well	ADJ
ap-1438	98	15	error	error	NOUN
ap-1438	98	16	performance	performance	NOUN
ap-1438	98	17	.	.	PUNCT
ap-1438	99	1	0	0	NUM
ap-1438	99	2	5	5	NUM
ap-1438	99	3	10	10	NUM
ap-1438	99	4	15	15	NUM
ap-1438	99	5	0	0	NUM
ap-1438	99	6	0.1	0.1	NUM
ap-1438	99	7	0.2	0.2	NUM
ap-1438	99	8	0.3	0.3	NUM
ap-1438	99	9	0.4	0.4	NUM
ap-1438	99	10	0.5	0.5	NUM
ap-1438	99	11	0.6	0.6	NUM
ap-1438	99	12	0.7	0.7	NUM
ap-1438	99	13	0.8	0.8	NUM
ap-1438	99	14	0.9	0.9	NUM
ap-1438	99	15	1	1	NUM
ap-1438	99	16	throughput	throughput	NOUN
ap-1438	99	17	of	of	ADP
ap-1438	99	18	hdf	hdf	PROPN
ap-1438	99	19	strategy	strategy	NOUN
ap-1438	99	20	in	in	ADP
ap-1438	99	21	rician	rician	PROPN
ap-1438	99	22	channel	channel	PROPN
ap-1438	99	23	mean	mean	PROPN
ap-1438	99	24	eb	eb	PROPN
ap-1438	99	25	/	/	SYM
ap-1438	99	26	n0	n0	PROPN
ap-1438	99	27	[	[	X
ap-1438	99	28	db	db	X
ap-1438	99	29	]	]	X
ap-1438	99	30	b	b	NOUN
ap-1438	99	31	it	it	PRON
ap-1438	99	32	th	th	X
ap-1438	99	33	ro	ro	X
ap-1438	99	34	ug	ug	ADP
ap-1438	99	35	hp	hp	PROPN
ap-1438	99	36	ut	ut	PROPN
ap-1438	99	37	ump	ump	PROPN
ap-1438	99	38	bpsk	bpsk	NOUN
ap-1438	99	39	in	in	ADP
ap-1438	99	40	rice	rice	NOUN
ap-1438	99	41	k=10db	k=10db	NOUN
ap-1438	100	1	4ary	4ary	NOUN
ap-1438	100	2	3d−ump	3d−ump	NUM
ap-1438	100	3	in	in	ADP
ap-1438	101	1	rice	rice	NOUN
ap-1438	101	2	k=10db	k=10db	NOUN
ap-1438	102	1	4ary	4ary	NOUN
ap-1438	102	2	2d−ump	2d−ump	NUM
ap-1438	102	3	equal	equal	ADJ
ap-1438	102	4	alphabets	alphabet	NOUN
ap-1438	102	5	in	in	ADP
ap-1438	102	6	rice	rice	NOUN
ap-1438	102	7	k=10db	k=10db	NOUN
ap-1438	103	1	4ary	4ary	NOUN
ap-1438	103	2	2d−ump	2d−ump	NUM
ap-1438	103	3	unequal	unequal	ADJ
ap-1438	103	4	alphabets	alphabet	NOUN
ap-1438	103	5	in	in	ADP
ap-1438	103	6	rice	rice	NOUN
ap-1438	103	7	k=10db	k=10db	PROPN
ap-1438	103	8	fig	fig	PROPN
ap-1438	103	9	.	.	PUNCT
ap-1438	104	1	6	6	NUM
ap-1438	104	2	:	:	PUNCT
ap-1438	104	3	bit	bit	NOUN
ap-1438	104	4	throughput	throughput	NOUN
ap-1438	104	5	of	of	ADP
ap-1438	104	6	the	the	DET
ap-1438	104	7	proposed	propose	VERB
ap-1438	104	8	alphabets	alphabet	NOUN
ap-1438	104	9	of	of	ADP
ap-1438	104	10	hdf	hdf	PROPN
ap-1438	104	11	strategy	strategy	NOUN
ap-1438	104	12	in	in	ADP
ap-1438	104	13	rice	rice	NOUN
ap-1438	104	14	fading	fade	VERB
ap-1438	104	15	with	with	ADP
ap-1438	104	16	rician	rician	ADJ
ap-1438	104	17	factor	factor	NOUN
ap-1438	104	18	k	k	PROPN
ap-1438	105	1	=	=	PUNCT
ap-1438	105	2	10	10	NUM
ap-1438	105	3	db	db	PROPN
ap-1438	105	4	5	5	NUM
ap-1438	105	5	conclusions	conclusion	NOUN
ap-1438	105	6	and	and	CCONJ
ap-1438	105	7	discussion	discussion	NOUN
ap-1438	105	8	we	we	PRON
ap-1438	105	9	have	have	AUX
ap-1438	105	10	applied	apply	VERB
ap-1438	105	11	canonical	canonical	ADJ
ap-1438	105	12	convex	convex	NOUN
ap-1438	105	13	constrained	constrain	VERB
ap-1438	105	14	nonlinear	nonlinear	ADJ
ap-1438	105	15	optimization	optimization	NOUN
ap-1438	105	16	methods	method	NOUN
ap-1438	105	17	for	for	ADP
ap-1438	105	18	general	general	ADJ
ap-1438	105	19	unrestricted	unrestricted	ADJ
ap-1438	105	20	design	design	NOUN
ap-1438	105	21	of	of	ADP
ap-1438	105	22	uniformly	uniformly	ADV
ap-1438	105	23	most	most	ADV
ap-1438	105	24	powerful	powerful	ADJ
ap-1438	105	25	(	(	PUNCT
ap-1438	105	26	ump	ump	ADJ
ap-1438	105	27	)	)	PUNCT
ap-1438	105	28	alphabets	alphabet	NOUN
ap-1438	105	29	,	,	PUNCT
ap-1438	105	30	56	56	NUM
ap-1438	105	31	acta	acta	PROPN
ap-1438	105	32	polytechnica	polytechnica	PROPN
ap-1438	105	33	vol	vol	NOUN
ap-1438	105	34	.	.	PUNCT
ap-1438	106	1	51	51	NUM
ap-1438	106	2	no	no	NOUN
ap-1438	106	3	.	.	PUNCT
ap-1438	107	1	5/2011	5/2011	NUM
ap-1438	107	2	which	which	PRON
ap-1438	107	3	are	be	AUX
ap-1438	107	4	convenient	convenient	ADJ
ap-1438	107	5	for	for	ADP
ap-1438	107	6	the	the	DET
ap-1438	107	7	hierarchical	hierarchical	ADJ
ap-1438	107	8	-	-	PUNCT
ap-1438	107	9	decodeand	decodeand	NOUN
ap-1438	107	10	-	-	PUNCT
ap-1438	107	11	forward	forward	NOUN
ap-1438	107	12	(	(	PUNCT
ap-1438	107	13	hdf	hdf	PROPN
ap-1438	107	14	)	)	PUNCT
ap-1438	107	15	strategy	strategy	NOUN
ap-1438	107	16	in	in	ADP
ap-1438	107	17	a	a	DET
ap-1438	107	18	wireless	wireless	ADJ
ap-1438	107	19	2	2	NUM
ap-1438	107	20	-	-	PUNCT
ap-1438	107	21	way	way	NOUN
ap-1438	107	22	relay	relay	NOUN
ap-1438	107	23	channel	channel	NOUN
ap-1438	107	24	with	with	ADP
ap-1438	107	25	channel	channel	NOUN
ap-1438	107	26	state	state	NOUN
ap-1438	107	27	information	information	NOUN
ap-1438	107	28	(	(	PUNCT
ap-1438	107	29	csi	csi	PROPN
ap-1438	107	30	)	)	PUNCT
ap-1438	107	31	on	on	ADP
ap-1438	107	32	the	the	DET
ap-1438	107	33	receiver	receiver	ADJ
ap-1438	107	34	side	side	NOUN
ap-1438	107	35	,	,	PUNCT
ap-1438	107	36	where	where	SCONJ
ap-1438	107	37	the	the	DET
ap-1438	107	38	channel	channel	NOUN
ap-1438	107	39	conditions	condition	NOUN
ap-1438	107	40	do	do	AUX
ap-1438	107	41	not	not	PART
ap-1438	107	42	allow	allow	VERB
ap-1438	107	43	adaptive	adaptive	ADJ
ap-1438	107	44	strategies	strategy	NOUN
ap-1438	107	45	.	.	PUNCT
ap-1438	108	1	ump	ump	NOUN
ap-1438	108	2	alphabets	alphabet	NOUN
ap-1438	108	3	that	that	PRON
ap-1438	108	4	are	be	AUX
ap-1438	108	5	robust	robust	ADJ
ap-1438	108	6	to	to	ADP
ap-1438	108	7	parametrization	parametrization	NOUN
ap-1438	108	8	(	(	PUNCT
ap-1438	108	9	denoted	denote	VERB
ap-1438	108	10	uniformly	uniformly	ADV
ap-1438	108	11	most	most	ADV
ap-1438	108	12	powerful	powerful	ADJ
ap-1438	108	13	(	(	PUNCT
ap-1438	108	14	ump	ump	NOUN
ap-1438	108	15	)	)	PUNCT
ap-1438	108	16	)	)	PUNCT
ap-1438	108	17	have	have	AUX
ap-1438	108	18	already	already	ADV
ap-1438	108	19	been	be	AUX
ap-1438	108	20	proposed	propose	VERB
ap-1438	108	21	restricting	restrict	VERB
ap-1438	108	22	on	on	ADP
ap-1438	108	23	non	non	ADJ
ap-1438	108	24	-	-	ADJ
ap-1438	108	25	linear	linear	ADJ
ap-1438	108	26	multi	multi	ADJ
ap-1438	108	27	-	-	ADJ
ap-1438	108	28	dimensional	dimensional	ADJ
ap-1438	108	29	frequency	frequency	NOUN
ap-1438	108	30	modulations	modulation	NOUN
ap-1438	108	31	.	.	PUNCT
ap-1438	109	1	we	we	PRON
ap-1438	109	2	have	have	AUX
ap-1438	109	3	re	re	VERB
ap-1438	109	4	-	-	VERB
ap-1438	109	5	formulated	formulate	VERB
ap-1438	109	6	the	the	DET
ap-1438	109	7	optimization	optimization	NOUN
ap-1438	109	8	problem	problem	NOUN
ap-1438	109	9	and	and	CCONJ
ap-1438	109	10	solved	solve	VERB
ap-1438	109	11	by	by	ADP
ap-1438	109	12	the	the	DET
ap-1438	109	13	nelder	nelder	ADJ
ap-1438	109	14	-	-	PUNCT
ap-1438	109	15	mead	mead	NOUN
ap-1438	109	16	global	global	ADJ
ap-1438	109	17	optimization	optimization	NOUN
ap-1438	109	18	method	method	NOUN
ap-1438	109	19	,	,	PUNCT
ap-1438	109	20	which	which	PRON
ap-1438	109	21	provided	provide	VERB
ap-1438	109	22	starting	start	VERB
ap-1438	109	23	points	point	NOUN
ap-1438	109	24	to	to	ADP
ap-1438	109	25	the	the	DET
ap-1438	109	26	interior	interior	ADJ
ap-1438	109	27	-	-	PUNCT
ap-1438	109	28	points	point	NOUN
ap-1438	109	29	method	method	NOUN
ap-1438	109	30	.	.	PUNCT
ap-1438	110	1	the	the	DET
ap-1438	110	2	proposed	propose	VERB
ap-1438	110	3	nonbinary	nonbinary	PROPN
ap-1438	110	4	linear	linear	PROPN
ap-1438	110	5	(	(	PUNCT
ap-1438	110	6	one	one	NUM
ap-1438	110	7	dimensional	dimensional	ADJ
ap-1438	110	8	)	)	PUNCT
ap-1438	110	9	alphabets	alphabet	NOUN
ap-1438	110	10	outperform	outperform	VERB
ap-1438	110	11	canonical	canonical	ADJ
ap-1438	110	12	linear	linear	ADJ
ap-1438	110	13	alphabets	alphabet	NOUN
ap-1438	110	14	(	(	PUNCT
ap-1438	110	15	psk	psk	PROPN
ap-1438	110	16	,	,	PUNCT
ap-1438	110	17	ask	ask	NOUN
ap-1438	110	18	,	,	PUNCT
ap-1438	110	19	qam	qam	PROPN
ap-1438	110	20	)	)	PUNCT
ap-1438	110	21	,	,	PUNCT
ap-1438	110	22	and	and	CCONJ
ap-1438	110	23	the	the	DET
ap-1438	110	24	proposed	propose	VERB
ap-1438	110	25	multi	multi	ADJ
ap-1438	110	26	-	-	ADJ
ap-1438	110	27	dimensional	dimensional	ADJ
ap-1438	110	28	alphabets	alphabet	NOUN
ap-1438	110	29	outperform	outperform	VERB
ap-1438	110	30	ump	ump	ADJ
ap-1438	110	31	-	-	PUNCT
ap-1438	110	32	bpsk	bpsk	NOUN
ap-1438	110	33	modulation	modulation	NOUN
ap-1438	110	34	.	.	PUNCT
ap-1438	111	1	utilization	utilization	NOUN
ap-1438	111	2	of	of	ADP
ap-1438	111	3	the	the	DET
ap-1438	111	4	proposed	propose	VERB
ap-1438	111	5	alphabets	alphabet	NOUN
ap-1438	111	6	with	with	ADP
ap-1438	111	7	suitable	suitable	ADJ
ap-1438	111	8	mappings	mapping	NOUN
ap-1438	111	9	on	on	ADP
ap-1438	111	10	the	the	DET
ap-1438	111	11	transitions	transition	NOUN
ap-1438	111	12	of	of	ADP
ap-1438	111	13	convolutional	convolutional	ADJ
ap-1438	111	14	codes	code	NOUN
ap-1438	111	15	(	(	PUNCT
ap-1438	111	16	similarly	similarly	ADV
ap-1438	111	17	to	to	ADP
ap-1438	111	18	the	the	DET
ap-1438	111	19	concept	concept	NOUN
ap-1438	111	20	of	of	ADP
ap-1438	111	21	trellis	trelli	NOUN
ap-1438	111	22	coded	code	VERB
ap-1438	111	23	modulation	modulation	NOUN
ap-1438	111	24	)	)	PUNCT
ap-1438	111	25	,	,	PUNCT
ap-1438	111	26	possibly	possibly	ADV
ap-1438	111	27	further	far	ADV
ap-1438	111	28	serially	serially	ADV
ap-1438	111	29	concatenated	concatenate	VERB
ap-1438	111	30	with	with	ADP
ap-1438	111	31	an	an	DET
ap-1438	111	32	inner	inner	ADJ
ap-1438	111	33	code	code	NOUN
ap-1438	111	34	forming	form	VERB
ap-1438	111	35	a	a	DET
ap-1438	111	36	turbo	turbo	NOUN
ap-1438	111	37	coded	code	VERB
ap-1438	111	38	system	system	NOUN
ap-1438	111	39	,	,	PUNCT
ap-1438	111	40	would	would	AUX
ap-1438	111	41	be	be	AUX
ap-1438	111	42	preferable	preferable	ADJ
ap-1438	111	43	in	in	ADP
ap-1438	111	44	a	a	DET
ap-1438	111	45	practical	practical	ADJ
ap-1438	111	46	design	design	NOUN
ap-1438	111	47	.	.	PUNCT
ap-1438	112	1	we	we	PRON
ap-1438	112	2	have	have	AUX
ap-1438	112	3	supported	support	VERB
ap-1438	112	4	the	the	DET
ap-1438	112	5	idea	idea	NOUN
ap-1438	112	6	that	that	SCONJ
ap-1438	112	7	unequal	unequal	ADJ
ap-1438	112	8	alphabets	alphabet	NOUN
ap-1438	112	9	which	which	PRON
ap-1438	112	10	are	be	AUX
ap-1438	112	11	made	make	VERB
ap-1438	112	12	as	as	ADP
ap-1438	112	13	a	a	DET
ap-1438	112	14	power	power	NOUN
ap-1438	112	15	-	-	PUNCT
ap-1438	112	16	scaled	scale	VERB
ap-1438	112	17	version	version	NOUN
ap-1438	112	18	of	of	ADP
ap-1438	112	19	canonical	canonical	ADJ
ap-1438	112	20	linear	linear	NOUN
ap-1438	112	21	modulations	modulation	NOUN
ap-1438	112	22	are	be	AUX
ap-1438	112	23	well	well	ADV
ap-1438	112	24	robust	robust	ADJ
ap-1438	112	25	to	to	ADP
ap-1438	112	26	the	the	DET
ap-1438	112	27	parametrization	parametrization	NOUN
ap-1438	112	28	problem	problem	NOUN
ap-1438	112	29	.	.	PUNCT
ap-1438	113	1	this	this	DET
ap-1438	113	2	work	work	NOUN
ap-1438	113	3	may	may	AUX
ap-1438	113	4	serve	serve	VERB
ap-1438	113	5	as	as	ADP
ap-1438	113	6	a	a	DET
ap-1438	113	7	basis	basis	NOUN
ap-1438	113	8	for	for	ADP
ap-1438	113	9	multi	multi	ADJ
ap-1438	113	10	-	-	ADJ
ap-1438	113	11	dimensional	dimensional	ADJ
ap-1438	113	12	multiple	multiple	ADJ
ap-1438	113	13	-	-	PUNCT
ap-1438	113	14	input	input	NOUN
ap-1438	113	15	multipleoutput	multipleoutput	NOUN
ap-1438	113	16	(	(	PUNCT
ap-1438	113	17	mimo)-ump	mimo)-ump	PROPN
ap-1438	113	18	alphabet	alphabet	PROPN
ap-1438	113	19	design	design	PROPN
ap-1438	113	20	,	,	PUNCT
ap-1438	113	21	which	which	PRON
ap-1438	113	22	will	will	AUX
ap-1438	113	23	be	be	AUX
ap-1438	113	24	a	a	DET
ap-1438	113	25	topic	topic	NOUN
ap-1438	113	26	for	for	ADP
ap-1438	113	27	future	future	ADJ
ap-1438	113	28	work	work	NOUN
ap-1438	113	29	.	.	PUNCT
ap-1438	114	1	acknowledgement	acknowledgement	NOUN
ap-1438	114	2	this	this	DET
ap-1438	114	3	work	work	NOUN
ap-1438	114	4	was	be	AUX
ap-1438	114	5	supported	support	VERB
ap-1438	114	6	by	by	ADP
ap-1438	114	7	the	the	DET
ap-1438	114	8	fp7	fp7	PROPN
ap-1438	114	9	-	-	PROPN
ap-1438	114	10	ict	ict	PROPN
ap-1438	114	11	saphyre	saphyre	NOUN
ap-1438	114	12	project	project	NOUN
ap-1438	114	13	;	;	PUNCT
ap-1438	114	14	by	by	ADP
ap-1438	114	15	grant	grant	PROPN
ap-1438	114	16	agency	agency	NOUN
ap-1438	114	17	of	of	ADP
ap-1438	114	18	the	the	DET
ap-1438	114	19	czech	czech	PROPN
ap-1438	114	20	republic	republic	NOUN
ap-1438	114	21	,	,	PUNCT
ap-1438	114	22	project	project	NOUN
ap-1438	114	23	102/09/1624	102/09/1624	NUM
ap-1438	114	24	;	;	PUNCT
ap-1438	114	25	and	and	CCONJ
ap-1438	114	26	by	by	ADP
ap-1438	114	27	the	the	DET
ap-1438	114	28	grant	grant	PROPN
ap-1438	114	29	agency	agency	NOUN
ap-1438	114	30	of	of	ADP
ap-1438	114	31	the	the	DET
ap-1438	114	32	czech	czech	PROPN
ap-1438	114	33	technical	technical	PROPN
ap-1438	114	34	university	university	PROPN
ap-1438	114	35	in	in	ADP
ap-1438	114	36	prague	prague	PROPN
ap-1438	114	37	,	,	PUNCT
ap-1438	114	38	grant	grant	VERB
ap-1438	114	39	no	no	INTJ
ap-1438	114	40	.	.	PUNCT
ap-1438	115	1	sgs10/287	sgs10/287	PROPN
ap-1438	115	2	/	/	SYM
ap-1438	115	3	ohk3/3t/13	ohk3/3t/13	PROPN
ap-1438	115	4	.	.	PUNCT
ap-1438	116	1	about	about	ADP
ap-1438	116	2	the	the	DET
ap-1438	116	3	author	author	NOUN
ap-1438	116	4	miroslav	miroslav	ADJ
ap-1438	116	5	hekrdla	hekrdla	NOUN
ap-1438	116	6	received	receive	VERB
ap-1438	116	7	his	his	PRON
ap-1438	116	8	m.sc	m.sc	PROPN
ap-1438	116	9	.	.	PUNCT
ap-1438	116	10	degree	degree	NOUN
ap-1438	116	11	in	in	ADP
ap-1438	116	12	electrical	electrical	ADJ
ap-1438	116	13	engineering	engineering	NOUN
ap-1438	116	14	from	from	ADP
ap-1438	116	15	the	the	DET
ap-1438	116	16	czech	czech	PROPN
ap-1438	116	17	technical	technical	PROPN
ap-1438	116	18	university	university	PROPN
ap-1438	116	19	in	in	ADP
ap-1438	116	20	prague	prague	PROPN
ap-1438	116	21	,	,	PUNCT
ap-1438	116	22	czech	czech	PROPN
ap-1438	116	23	republic	republic	NOUN
ap-1438	116	24	,	,	PUNCT
ap-1438	116	25	in	in	ADP
ap-1438	116	26	2009	2009	NUM
ap-1438	116	27	.	.	PUNCT
ap-1438	117	1	his	his	PRON
ap-1438	117	2	research	research	NOUN
ap-1438	117	3	interests	interest	NOUN
ap-1438	117	4	include	include	VERB
ap-1438	117	5	nonlinear	nonlinear	ADJ
ap-1438	117	6	space	space	NOUN
ap-1438	117	7	-	-	PUNCT
ap-1438	117	8	time	time	NOUN
ap-1438	117	9	modulation	modulation	NOUN
ap-1438	117	10	,	,	PUNCT
ap-1438	117	11	coding	coding	NOUN
ap-1438	117	12	and	and	CCONJ
ap-1438	117	13	processing	processing	NOUN
ap-1438	117	14	,	,	PUNCT
ap-1438	117	15	relay	relay	NOUN
ap-1438	117	16	-	-	PUNCT
ap-1438	117	17	based	base	VERB
ap-1438	117	18	wireless	wireless	ADJ
ap-1438	117	19	communication	communication	NOUN
ap-1438	117	20	systems	system	NOUN
ap-1438	117	21	with	with	ADP
ap-1438	117	22	distributed	distribute	VERB
ap-1438	117	23	,	,	PUNCT
ap-1438	117	24	cooperative	cooperative	ADJ
ap-1438	117	25	and	and	CCONJ
ap-1438	117	26	mimo	mimo	PROPN
ap-1438	117	27	processing	processing	NOUN
ap-1438	117	28	,	,	PUNCT
ap-1438	117	29	and	and	CCONJ
ap-1438	117	30	aspects	aspect	NOUN
ap-1438	117	31	of	of	ADP
ap-1438	117	32	information	information	NOUN
ap-1438	117	33	theory	theory	NOUN
ap-1438	117	34	and	and	CCONJ
ap-1438	117	35	channel	channel	NOUN
ap-1438	117	36	coding	coding	NOUN
ap-1438	117	37	.	.	PUNCT
ap-1438	118	1	references	reference	NOUN
ap-1438	118	2	[	[	X
ap-1438	118	3	1	1	NUM
ap-1438	118	4	]	]	X
ap-1438	118	5	fu	fu	PROPN
ap-1438	118	6	,	,	PUNCT
ap-1438	118	7	s.	s.	PROPN
ap-1438	118	8	,	,	PUNCT
ap-1438	118	9	lu	lu	PROPN
ap-1438	118	10	,	,	PUNCT
ap-1438	118	11	k.	k.	PROPN
ap-1438	118	12	,	,	PUNCT
ap-1438	118	13	zhang	zhang	PROPN
ap-1438	118	14	,	,	PUNCT
ap-1438	118	15	t.	t.	PROPN
ap-1438	118	16	,	,	PUNCT
ap-1438	118	17	qian	qian	PROPN
ap-1438	118	18	,	,	PUNCT
ap-1438	118	19	y.	y.	PROPN
ap-1438	118	20	,	,	PUNCT
ap-1438	118	21	chen	chen	PROPN
ap-1438	118	22	,	,	PUNCT
ap-1438	118	23	h.-h	h.-h	NOUN
ap-1438	118	24	.	.	PUNCT
ap-1438	118	25	:	:	PUNCT
ap-1438	119	1	cooperative	cooperative	ADJ
ap-1438	119	2	wireless	wireless	NOUN
ap-1438	119	3	networks	network	NOUN
ap-1438	119	4	based	base	VERB
ap-1438	119	5	on	on	ADP
ap-1438	119	6	physical	physical	ADJ
ap-1438	119	7	layer	layer	NOUN
ap-1438	119	8	network	network	NOUN
ap-1438	119	9	coding	coding	NOUN
ap-1438	119	10	,	,	PUNCT
ap-1438	119	11	wireless	wireless	ADJ
ap-1438	119	12	communications	communication	NOUN
ap-1438	119	13	,	,	PUNCT
ap-1438	119	14	ieee	ieee	NOUN
ap-1438	119	15	,	,	PUNCT
ap-1438	119	16	vol	vol	NOUN
ap-1438	119	17	.	.	PROPN
ap-1438	119	18	17	17	NUM
ap-1438	119	19	,	,	PUNCT
ap-1438	119	20	no	no	INTJ
ap-1438	119	21	.	.	NOUN
ap-1438	119	22	6	6	NUM
ap-1438	119	23	,	,	PUNCT
ap-1438	119	24	2010	2010	NUM
ap-1438	119	25	,	,	PUNCT
ap-1438	119	26	pp	pp	ADJ
ap-1438	119	27	.	.	PUNCT
ap-1438	119	28	86–95	86–95	NOUN
ap-1438	119	29	.	.	PUNCT
ap-1438	120	1	[	[	X
ap-1438	120	2	2	2	NUM
ap-1438	120	3	]	]	X
ap-1438	120	4	yeung	yeung	PROPN
ap-1438	120	5	,	,	PUNCT
ap-1438	120	6	r.	r.	PROPN
ap-1438	120	7	w.	w.	PROPN
ap-1438	120	8	,	,	PUNCT
ap-1438	120	9	li	li	PROPN
ap-1438	120	10	,	,	PUNCT
ap-1438	120	11	s.-y	s.-y	NOUN
ap-1438	120	12	.	.	PUNCT
ap-1438	121	1	r.	r.	PROPN
ap-1438	121	2	,	,	PUNCT
ap-1438	121	3	cai	cai	PROPN
ap-1438	121	4	,	,	PUNCT
ap-1438	121	5	n.	n.	PROPN
ap-1438	121	6	,	,	PUNCT
ap-1438	121	7	zhang	zhang	PROPN
ap-1438	121	8	,	,	PUNCT
ap-1438	121	9	z.	z.	PROPN
ap-1438	121	10	:	:	PUNCT
ap-1438	121	11	network	network	NOUN
ap-1438	121	12	coding	code	VERB
ap-1438	121	13	theory	theory	NOUN
ap-1438	121	14	.	.	PUNCT
ap-1438	122	1	now	now	ADV
ap-1438	122	2	publishers	publisher	NOUN
ap-1438	122	3	,	,	PUNCT
ap-1438	122	4	2006	2006	NUM
ap-1438	122	5	.	.	PUNCT
ap-1438	123	1	[	[	X
ap-1438	123	2	3	3	NUM
ap-1438	123	3	]	]	PUNCT
ap-1438	123	4	popovski	popovski	NOUN
ap-1438	123	5	,	,	PUNCT
ap-1438	123	6	p.	p.	NOUN
ap-1438	123	7	,	,	PUNCT
ap-1438	123	8	yomo	yomo	PROPN
ap-1438	123	9	,	,	PUNCT
ap-1438	123	10	h.	h.	NOUN
ap-1438	123	11	:	:	PUNCT
ap-1438	123	12	physical	physical	ADJ
ap-1438	123	13	network	network	NOUN
ap-1438	123	14	coding	code	VERB
ap-1438	123	15	in	in	ADP
ap-1438	123	16	two	two	NUM
ap-1438	123	17	-	-	PUNCT
ap-1438	123	18	way	way	NOUN
ap-1438	123	19	wireless	wireless	ADJ
ap-1438	123	20	relay	relay	NOUN
ap-1438	123	21	channels	channel	NOUN
ap-1438	123	22	,	,	PUNCT
ap-1438	123	23	in	in	ADP
ap-1438	123	24	proc	proc	NOUN
ap-1438	123	25	.	.	PUNCT
ap-1438	124	1	ieee	ieee	PROPN
ap-1438	124	2	internat	internat	PROPN
ap-1438	124	3	.	.	PUNCT
ap-1438	125	1	conf	conf	PROPN
ap-1438	125	2	.	.	PUNCT
ap-1438	126	1	on	on	ADP
ap-1438	126	2	commun	commun	PROPN
ap-1438	126	3	.	.	PUNCT
ap-1438	127	1	(	(	PUNCT
ap-1438	127	2	icc	icc	PROPN
ap-1438	127	3	)	)	PUNCT
ap-1438	127	4	,	,	PUNCT
ap-1438	127	5	jun	jun	PROPN
ap-1438	127	6	.	.	PROPN
ap-1438	127	7	2007	2007	NUM
ap-1438	127	8	,	,	PUNCT
ap-1438	127	9	pp	pp	ADP
ap-1438	127	10	.	.	PUNCT
ap-1438	128	1	707–712	707–712	NUM
ap-1438	128	2	.	.	PUNCT
ap-1438	129	1	[	[	X
ap-1438	129	2	4	4	NUM
ap-1438	129	3	]	]	X
ap-1438	129	4	sykora	sykora	PROPN
ap-1438	129	5	,	,	PUNCT
ap-1438	129	6	j.	j.	PROPN
ap-1438	129	7	,	,	PUNCT
ap-1438	129	8	burr	burr	PROPN
ap-1438	129	9	,	,	PUNCT
ap-1438	129	10	a.	a.	NOUN
ap-1438	129	11	:	:	PUNCT
ap-1438	129	12	hierarchical	hierarchical	ADJ
ap-1438	129	13	alphabet	alphabet	NOUN
ap-1438	129	14	and	and	CCONJ
ap-1438	129	15	parametric	parametric	ADJ
ap-1438	129	16	channel	channel	NOUN
ap-1438	129	17	constrained	constrain	VERB
ap-1438	129	18	capacity	capacity	NOUN
ap-1438	129	19	regions	region	NOUN
ap-1438	129	20	for	for	ADP
ap-1438	129	21	hdf	hdf	PROPN
ap-1438	129	22	strategy	strategy	NOUN
ap-1438	129	23	in	in	ADP
ap-1438	129	24	parametric	parametric	ADJ
ap-1438	129	25	wireless	wireless	ADJ
ap-1438	129	26	2	2	NUM
ap-1438	129	27	-	-	PUNCT
ap-1438	129	28	wrc	wrc	NOUN
ap-1438	129	29	,	,	PUNCT
ap-1438	129	30	in	in	ADP
ap-1438	129	31	proc	proc	NOUN
ap-1438	129	32	.	.	PUNCT
ap-1438	130	1	ieee	ieee	PROPN
ap-1438	130	2	wireless	wireless	PROPN
ap-1438	130	3	commun	commun	PROPN
ap-1438	130	4	.	.	PUNCT
ap-1438	131	1	network	network	NOUN
ap-1438	131	2	.	.	PUNCT
ap-1438	131	3	conf	conf	PROPN
ap-1438	131	4	.	.	PUNCT
ap-1438	132	1	(	(	PUNCT
ap-1438	132	2	wcnc	wcnc	NOUN
ap-1438	132	3	)	)	PUNCT
ap-1438	132	4	,	,	PUNCT
ap-1438	132	5	(	(	PUNCT
ap-1438	132	6	sydney	sydney	PROPN
ap-1438	132	7	,	,	PUNCT
ap-1438	132	8	australia	australia	PROPN
ap-1438	132	9	)	)	PUNCT
ap-1438	132	10	,	,	PUNCT
ap-1438	132	11	apr	apr	PROPN
ap-1438	132	12	2010	2010	NUM
ap-1438	132	13	,	,	PUNCT
ap-1438	132	14	pp	pp	ADV
ap-1438	132	15	.	.	PUNCT
ap-1438	133	1	1–6	1–6	X
ap-1438	133	2	.	.	PUNCT
ap-1438	134	1	[	[	X
ap-1438	134	2	5	5	NUM
ap-1438	134	3	]	]	PUNCT
ap-1438	134	4	cover	cover	NOUN
ap-1438	134	5	,	,	PUNCT
ap-1438	134	6	t.	t.	NOUN
ap-1438	134	7	m.	m.	NOUN
ap-1438	134	8	,	,	PUNCT
ap-1438	134	9	thomas	thomas	PROPN
ap-1438	134	10	,	,	PUNCT
ap-1438	134	11	j.	j.	PROPN
ap-1438	134	12	a.	a.	PROPN
ap-1438	134	13	:	:	PUNCT
ap-1438	134	14	elements	element	NOUN
ap-1438	134	15	of	of	ADP
ap-1438	134	16	information	information	NOUN
ap-1438	134	17	theory	theory	NOUN
ap-1438	134	18	.	.	PUNCT
ap-1438	135	1	john	john	PROPN
ap-1438	135	2	wiley	wiley	PROPN
ap-1438	135	3	&	&	CCONJ
ap-1438	135	4	sons	son	NOUN
ap-1438	135	5	,	,	PUNCT
ap-1438	135	6	1991	1991	NUM
ap-1438	135	7	.	.	PUNCT
ap-1438	136	1	[	[	X
ap-1438	136	2	6	6	NUM
ap-1438	136	3	]	]	X
ap-1438	136	4	sykora	sykora	PROPN
ap-1438	136	5	,	,	PUNCT
ap-1438	136	6	j.	j.	PROPN
ap-1438	136	7	,	,	PUNCT
ap-1438	136	8	burr	burr	PROPN
ap-1438	136	9	,	,	PUNCT
ap-1438	136	10	a.	a.	NOUN
ap-1438	136	11	:	:	PUNCT
ap-1438	136	12	network	network	NOUN
ap-1438	136	13	coded	code	VERB
ap-1438	136	14	modulation	modulation	NOUN
ap-1438	136	15	with	with	ADP
ap-1438	136	16	partial	partial	ADJ
ap-1438	136	17	sideinformation	sideinformation	NOUN
ap-1438	136	18	and	and	CCONJ
ap-1438	136	19	hierarchical	hierarchical	ADJ
ap-1438	136	20	decode	decode	NOUN
ap-1438	136	21	and	and	CCONJ
ap-1438	136	22	forward	forward	ADV
ap-1438	136	23	relay	relay	NOUN
ap-1438	136	24	sharing	sharing	NOUN
ap-1438	136	25	in	in	ADP
ap-1438	136	26	multisource	multisource	ADJ
ap-1438	136	27	wireless	wireless	NOUN
ap-1438	136	28	network	network	NOUN
ap-1438	136	29	,	,	PUNCT
ap-1438	136	30	inwireless	inwireless	ADJ
ap-1438	136	31	conference	conference	NOUN
ap-1438	136	32	(	(	PUNCT
ap-1438	136	33	ew	ew	NOUN
ap-1438	136	34	)	)	PUNCT
ap-1438	136	35	,	,	PUNCT
ap-1438	136	36	2010	2010	NUM
ap-1438	136	37	european	european	ADJ
ap-1438	136	38	,	,	PUNCT
ap-1438	136	39	2010	2010	NUM
ap-1438	136	40	,	,	PUNCT
ap-1438	136	41	pp	pp	ADV
ap-1438	136	42	.	.	PUNCT
ap-1438	137	1	639–645	639–645	NUM
ap-1438	137	2	.	.	PUNCT
ap-1438	138	1	[	[	X
ap-1438	138	2	7	7	NUM
ap-1438	138	3	]	]	X
ap-1438	138	4	koike	koike	NOUN
ap-1438	138	5	-	-	PUNCT
ap-1438	138	6	akino	akino	NOUN
ap-1438	138	7	,	,	PUNCT
ap-1438	138	8	t.	t.	NOUN
ap-1438	138	9	,	,	PUNCT
ap-1438	138	10	popovski	popovski	NOUN
ap-1438	138	11	,	,	PUNCT
ap-1438	138	12	p.	p.	NOUN
ap-1438	138	13	,	,	PUNCT
ap-1438	138	14	tarokh	tarokh	VERB
ap-1438	138	15	,	,	PUNCT
ap-1438	138	16	v.	v.	ADV
ap-1438	138	17	:	:	PUNCT
ap-1438	138	18	optimized	optimize	VERB
ap-1438	138	19	constellations	constellation	NOUN
ap-1438	138	20	for	for	ADP
ap-1438	138	21	two	two	NUM
ap-1438	138	22	-	-	PUNCT
ap-1438	138	23	way	way	NOUN
ap-1438	138	24	wireless	wireless	ADJ
ap-1438	138	25	relaying	relaying	NOUN
ap-1438	138	26	with	with	ADP
ap-1438	138	27	physical	physical	ADJ
ap-1438	138	28	network	network	NOUN
ap-1438	138	29	coding	coding	NOUN
ap-1438	138	30	,	,	PUNCT
ap-1438	138	31	selected	select	VERB
ap-1438	138	32	areas	area	NOUN
ap-1438	138	33	in	in	ADP
ap-1438	138	34	communications	communication	NOUN
ap-1438	138	35	,	,	PUNCT
ap-1438	138	36	ieee	ieee	NOUN
ap-1438	138	37	journal	journal	NOUN
ap-1438	138	38	on	on	ADP
ap-1438	138	39	,	,	PUNCT
ap-1438	138	40	vol	vol	NOUN
ap-1438	138	41	.	.	PROPN
ap-1438	138	42	27	27	NUM
ap-1438	138	43	,	,	PUNCT
ap-1438	138	44	jun	jun	PROPN
ap-1438	138	45	.	.	PROPN
ap-1438	138	46	2009	2009	NUM
ap-1438	138	47	,	,	PUNCT
ap-1438	138	48	pp	pp	ADV
ap-1438	138	49	.	.	PUNCT
ap-1438	139	1	773–787	773–787	NUM
ap-1438	139	2	.	.	PUNCT
ap-1438	140	1	[	[	X
ap-1438	140	2	8	8	NUM
ap-1438	140	3	]	]	PUNCT
ap-1438	140	4	uricar	uricar	NOUN
ap-1438	140	5	,	,	PUNCT
ap-1438	140	6	t.	t.	PROPN
ap-1438	140	7	,	,	PUNCT
ap-1438	140	8	sykora	sykora	PROPN
ap-1438	140	9	,	,	PUNCT
ap-1438	140	10	j.	j.	PROPN
ap-1438	140	11	:	:	PUNCT
ap-1438	140	12	design	design	NOUN
ap-1438	140	13	criteria	criterion	NOUN
ap-1438	140	14	for	for	ADP
ap-1438	140	15	hierarchical	hierarchical	ADJ
ap-1438	140	16	exclusive	exclusive	ADJ
ap-1438	140	17	code	code	NOUN
ap-1438	140	18	with	with	ADP
ap-1438	140	19	parameter	parameter	NOUN
ap-1438	140	20	-	-	PUNCT
ap-1438	140	21	invariant	invariant	ADJ
ap-1438	140	22	decision	decision	NOUN
ap-1438	140	23	regions	region	NOUN
ap-1438	140	24	for	for	ADP
ap-1438	140	25	wireless	wireless	ADJ
ap-1438	140	26	2	2	NUM
ap-1438	140	27	-	-	PUNCT
ap-1438	140	28	way	way	NOUN
ap-1438	140	29	relay	relay	NOUN
ap-1438	140	30	channel	channel	NOUN
ap-1438	140	31	,	,	PUNCT
ap-1438	140	32	eurasip	eurasip	PROPN
ap-1438	140	33	journal	journal	PROPN
ap-1438	140	34	on	on	ADP
ap-1438	140	35	wireless	wireless	ADJ
ap-1438	140	36	communications	communication	NOUN
ap-1438	140	37	and	and	CCONJ
ap-1438	140	38	networking	networking	NOUN
ap-1438	140	39	,	,	PUNCT
ap-1438	140	40	vol	vol	NOUN
ap-1438	140	41	.	.	PROPN
ap-1438	140	42	2010	2010	NUM
ap-1438	140	43	,	,	PUNCT
ap-1438	140	44	2010	2010	NUM
ap-1438	140	45	,	,	PUNCT
ap-1438	140	46	pp	pp	ADJ
ap-1438	140	47	.	.	PUNCT
ap-1438	141	1	1–13	1–13	NOUN
ap-1438	141	2	.	.	PUNCT
ap-1438	142	1	article	article	NOUN
ap-1438	142	2	i	i	PROPN
ap-1438	142	3	d	d	PROPN
ap-1438	142	4	921427	921427	NUM
ap-1438	142	5	.	.	PUNCT
ap-1438	143	1	[	[	X
ap-1438	143	2	9	9	NUM
ap-1438	143	3	]	]	SYM
ap-1438	143	4	hekrdla	hekrdla	NOUN
ap-1438	143	5	,	,	PUNCT
ap-1438	143	6	m.	m.	NOUN
ap-1438	143	7	,	,	PUNCT
ap-1438	143	8	sykora	sykora	PROPN
ap-1438	143	9	,	,	PUNCT
ap-1438	143	10	j.	j.	PROPN
ap-1438	143	11	:	:	PUNCT
ap-1438	143	12	channel	channel	PROPN
ap-1438	143	13	parameter	parameter	NOUN
ap-1438	143	14	invariant	invariant	PROPN
ap-1438	143	15	network	network	NOUN
ap-1438	143	16	coded	code	VERB
ap-1438	143	17	fsk	fsk	PROPN
ap-1438	143	18	modulation	modulation	NOUN
ap-1438	143	19	for	for	ADP
ap-1438	143	20	hierarchical	hierarchical	ADJ
ap-1438	143	21	decode	decode	NOUN
ap-1438	143	22	and	and	CCONJ
ap-1438	143	23	forward	forward	ADJ
ap-1438	143	24	strategy	strategy	NOUN
ap-1438	143	25	in	in	ADP
ap-1438	143	26	wireless	wireless	ADJ
ap-1438	143	27	2	2	NUM
ap-1438	143	28	-	-	PUNCT
ap-1438	143	29	way	way	NOUN
ap-1438	143	30	relay	relay	NOUN
ap-1438	143	31	channel	channel	NOUN
ap-1438	143	32	,	,	PUNCT
ap-1438	143	33	in	in	ADP
ap-1438	143	34	cost	cost	NOUN
ap-1438	143	35	2100	2100	NUM
ap-1438	143	36	mcm	mcm	PROPN
ap-1438	143	37	,	,	PUNCT
ap-1438	143	38	(	(	PUNCT
ap-1438	143	39	aalborg	aalborg	PROPN
ap-1438	143	40	,	,	PUNCT
ap-1438	143	41	denmark	denmark	NOUN
ap-1438	143	42	)	)	PUNCT
ap-1438	143	43	,	,	PUNCT
ap-1438	143	44	june	june	PROPN
ap-1438	143	45	2010	2010	NUM
ap-1438	143	46	,	,	PUNCT
ap-1438	143	47	pp	pp	ADP
ap-1438	143	48	.	.	PUNCT
ap-1438	144	1	1–8	1–8	X
ap-1438	144	2	.	.	PUNCT
ap-1438	145	1	td10	td10	PROPN
ap-1438	145	2	-	-	PUNCT
ap-1438	145	3	11087	11087	NUM
ap-1438	145	4	.	.	PUNCT
ap-1438	146	1	[	[	X
ap-1438	146	2	10	10	NUM
ap-1438	146	3	]	]	X
ap-1438	146	4	boyd	boyd	PROPN
ap-1438	146	5	,	,	PUNCT
ap-1438	146	6	s.	s.	PROPN
ap-1438	146	7	,	,	PUNCT
ap-1438	146	8	vandenberghe	vandenberghe	PROPN
ap-1438	146	9	,	,	PUNCT
ap-1438	146	10	l.	l.	PROPN
ap-1438	146	11	:	:	PUNCT
ap-1438	146	12	convex	convex	PROPN
ap-1438	146	13	optimization	optimization	NOUN
ap-1438	146	14	.	.	PUNCT
ap-1438	147	1	new	new	PROPN
ap-1438	147	2	york	york	PROPN
ap-1438	147	3	,	,	PUNCT
ap-1438	147	4	ny	ny	PROPN
ap-1438	147	5	,	,	PUNCT
ap-1438	147	6	usa	usa	PROPN
ap-1438	147	7	:	:	PUNCT
ap-1438	147	8	cambridge	cambridge	PROPN
ap-1438	147	9	university	university	PROPN
ap-1438	147	10	press	press	NOUN
ap-1438	147	11	,	,	PUNCT
ap-1438	147	12	2004	2004	NUM
ap-1438	147	13	.	.	PUNCT
ap-1438	148	1	miroslav	miroslav	ADJ
ap-1438	148	2	hekrdla	hekrdla	NOUN
ap-1438	148	3	e	e	NOUN
ap-1438	148	4	-	-	NOUN
ap-1438	148	5	mail	mail	NOUN
ap-1438	148	6	:	:	PUNCT
ap-1438	148	7	miroslav.hekrdla@fel.cvut.cz	miroslav.hekrdla@fel.cvut.cz	NUM
ap-1438	148	8	department	department	PROPN
ap-1438	148	9	of	of	ADP
ap-1438	148	10	radio	radio	NOUN
ap-1438	148	11	engineering	engineering	NOUN
ap-1438	148	12	faculty	faculty	NOUN
ap-1438	148	13	of	of	ADP
ap-1438	148	14	electrical	electrical	ADJ
ap-1438	148	15	engineering	engineering	NOUN
ap-1438	148	16	czech	czech	PROPN
ap-1438	148	17	technical	technical	PROPN
ap-1438	148	18	university	university	PROPN
ap-1438	148	19	in	in	ADP
ap-1438	148	20	prague	prague	PROPN
ap-1438	148	21	technická	technická	PROPN
ap-1438	148	22	2	2	NUM
ap-1438	148	23	,	,	PUNCT
ap-1438	148	24	166	166	NUM
ap-1438	148	25	27	27	NUM
ap-1438	148	26	prauge	prauge	NOUN
ap-1438	148	27	,	,	PUNCT
ap-1438	148	28	czech	czech	PROPN
ap-1438	148	29	republic	republic	NOUN
ap-1438	148	30	57	57	NUM