id	sid	tid	token	lemma	pos
ajst-2154	1	1	academic	academic	ADJ
ajst-2154	1	2	journal	journal	NOUN
ajst-2154	1	3	of	of	ADP
ajst-2154	1	4	science	science	NOUN
ajst-2154	1	5	and	and	CCONJ
ajst-2154	1	6	technology	technology	NOUN
ajst-2154	1	7	issn	issn	NOUN
ajst-2154	1	8	:	:	PUNCT
ajst-2154	1	9	2771	2771	NUM
ajst-2154	1	10	-	-	SYM
ajst-2154	1	11	3032	3032	NUM
ajst-2154	1	12	|	|	NOUN
ajst-2154	1	13	vol	vol	NOUN
ajst-2154	1	14	.	.	PROPN
ajst-2154	2	1	3	3	NUM
ajst-2154	2	2	,	,	PUNCT
ajst-2154	2	3	no	no	INTJ
ajst-2154	2	4	.	.	NOUN
ajst-2154	2	5	2	2	NUM
ajst-2154	2	6	,	,	PUNCT
ajst-2154	2	7	2022	2022	NUM
ajst-2154	2	8	125	125	NUM
ajst-2154	2	9	study	study	NOUN
ajst-2154	2	10	on	on	ADP
ajst-2154	2	11	inversion	inversion	NOUN
ajst-2154	2	12	algorithm	algorithm	NOUN
ajst-2154	2	13	of	of	ADP
ajst-2154	2	14	nmr	nmr	NOUN
ajst-2154	2	15	t2	t2	PROPN
ajst-2154	2	16	spectrum	spectrum	PROPN
ajst-2154	2	17	yong	yong	PROPN
ajst-2154	2	18	deng	deng	PROPN
ajst-2154	2	19	*	*	PROPN
ajst-2154	2	20	,	,	PUNCT
ajst-2154	2	21	lin	lin	PROPN
ajst-2154	2	22	xu	xu	PROPN
ajst-2154	2	23	school	school	NOUN
ajst-2154	2	24	of	of	ADP
ajst-2154	2	25	mechanical	mechanical	ADJ
ajst-2154	2	26	and	and	CCONJ
ajst-2154	2	27	electrical	electrical	ADJ
ajst-2154	2	28	engineering	engineering	NOUN
ajst-2154	2	29	,	,	PUNCT
ajst-2154	2	30	southwest	southwest	ADJ
ajst-2154	2	31	petroleum	petroleum	PROPN
ajst-2154	2	32	university	university	PROPN
ajst-2154	2	33	,	,	PUNCT
ajst-2154	2	34	chengdu	chengdu	PROPN
ajst-2154	2	35	610500	610500	NUM
ajst-2154	2	36	,	,	PUNCT
ajst-2154	2	37	china	china	PROPN
ajst-2154	2	38	*	*	PUNCT
ajst-2154	2	39	corresponding	correspond	VERB
ajst-2154	2	40	author	author	NOUN
ajst-2154	2	41	abstract	abstract	NOUN
ajst-2154	2	42	:	:	PUNCT
ajst-2154	2	43	nuclear	nuclear	ADJ
ajst-2154	2	44	magnetic	magnetic	ADJ
ajst-2154	2	45	resonance	resonance	NOUN
ajst-2154	2	46	(	(	PUNCT
ajst-2154	2	47	nmr	nmr	NOUN
ajst-2154	2	48	)	)	PUNCT
ajst-2154	2	49	logging	log	VERB
ajst-2154	2	50	technology	technology	NOUN
ajst-2154	2	51	is	be	AUX
ajst-2154	2	52	a	a	DET
ajst-2154	2	53	kind	kind	NOUN
ajst-2154	2	54	of	of	ADP
ajst-2154	2	55	technology	technology	NOUN
ajst-2154	2	56	developed	develop	VERB
ajst-2154	2	57	gradually	gradually	ADV
ajst-2154	2	58	in	in	ADP
ajst-2154	2	59	recent	recent	ADJ
ajst-2154	2	60	decades	decade	NOUN
ajst-2154	2	61	,	,	PUNCT
ajst-2154	2	62	which	which	PRON
ajst-2154	2	63	has	have	VERB
ajst-2154	2	64	great	great	ADJ
ajst-2154	2	65	significance	significance	NOUN
ajst-2154	2	66	for	for	ADP
ajst-2154	2	67	the	the	DET
ajst-2154	2	68	development	development	NOUN
ajst-2154	2	69	of	of	ADP
ajst-2154	2	70	logging	log	VERB
ajst-2154	2	71	technology	technology	NOUN
ajst-2154	2	72	.	.	PUNCT
ajst-2154	3	1	nuclear	nuclear	ADJ
ajst-2154	3	2	magnetic	magnetic	ADJ
ajst-2154	3	3	resonance	resonance	NOUN
ajst-2154	3	4	logging	log	VERB
ajst-2154	3	5	technology	technology	NOUN
ajst-2154	3	6	compared	compare	VERB
ajst-2154	3	7	to	to	ADP
ajst-2154	3	8	traditional	traditional	ADJ
ajst-2154	3	9	logging	logging	NOUN
ajst-2154	3	10	technology	technology	NOUN
ajst-2154	3	11	,	,	PUNCT
ajst-2154	3	12	not	not	PART
ajst-2154	3	13	only	only	ADV
ajst-2154	3	14	has	have	AUX
ajst-2154	3	15	the	the	DET
ajst-2154	3	16	ideal	ideal	ADJ
ajst-2154	3	17	signal	signal	PROPN
ajst-2154	3	18	hydrogen	hydrogen	NOUN
ajst-2154	3	19	nuclei	nucleus	NOUN
ajst-2154	3	20	,	,	PUNCT
ajst-2154	3	21	and	and	CCONJ
ajst-2154	3	22	the	the	DET
ajst-2154	3	23	exploration	exploration	NOUN
ajst-2154	3	24	of	of	ADP
ajst-2154	3	25	the	the	DET
ajst-2154	3	26	original	original	ADJ
ajst-2154	3	27	signal	signal	NOUN
ajst-2154	3	28	is	be	AUX
ajst-2154	3	29	not	not	PART
ajst-2154	3	30	affected	affect	VERB
ajst-2154	3	31	by	by	ADP
ajst-2154	3	32	the	the	DET
ajst-2154	3	33	influence	influence	NOUN
ajst-2154	3	34	of	of	ADP
ajst-2154	3	35	the	the	DET
ajst-2154	3	36	rock	rock	NOUN
ajst-2154	3	37	skeleton	skeleton	NOUN
ajst-2154	3	38	,	,	PUNCT
ajst-2154	3	39	is	be	AUX
ajst-2154	3	40	the	the	DET
ajst-2154	3	41	only	only	ADV
ajst-2154	3	42	provides	provide	VERB
ajst-2154	3	43	information	information	NOUN
ajst-2154	3	44	that	that	PRON
ajst-2154	3	45	is	be	AUX
ajst-2154	3	46	unrelated	unrelated	ADJ
ajst-2154	3	47	to	to	PART
ajst-2154	3	48	formation	formation	VERB
ajst-2154	3	49	rock	rock	NOUN
ajst-2154	3	50	porosity	porosity	NOUN
ajst-2154	3	51	,	,	PUNCT
ajst-2154	3	52	can	can	AUX
ajst-2154	3	53	better	well	ADV
ajst-2154	3	54	provide	provide	VERB
ajst-2154	3	55	the	the	DET
ajst-2154	3	56	formation	formation	NOUN
ajst-2154	3	57	permeability	permeability	NOUN
ajst-2154	3	58	,	,	PUNCT
ajst-2154	3	59	movable	movable	ADJ
ajst-2154	3	60	fluid	fluid	NOUN
ajst-2154	3	61	,	,	PUNCT
ajst-2154	3	62	oil	oil	NOUN
ajst-2154	3	63	and	and	CCONJ
ajst-2154	3	64	gas	gas	NOUN
ajst-2154	3	65	content	content	NOUN
ajst-2154	3	66	,	,	PUNCT
ajst-2154	3	67	such	such	ADJ
ajst-2154	3	68	as	as	ADP
ajst-2154	3	69	information	information	NOUN
ajst-2154	3	70	,	,	PUNCT
ajst-2154	3	71	it	it	PRON
ajst-2154	3	72	is	be	AUX
ajst-2154	3	73	a	a	DET
ajst-2154	3	74	kind	kind	NOUN
ajst-2154	3	75	of	of	ADP
ajst-2154	3	76	logging	log	VERB
ajst-2154	3	77	method	method	NOUN
ajst-2154	3	78	suitable	suitable	ADJ
ajst-2154	3	79	for	for	ADP
ajst-2154	3	80	low	low	ADJ
ajst-2154	3	81	porosity	porosity	NOUN
ajst-2154	3	82	and	and	CCONJ
ajst-2154	3	83	low	low	ADJ
ajst-2154	3	84	permeability	permeability	NOUN
ajst-2154	3	85	and	and	CCONJ
ajst-2154	3	86	complex	complex	ADJ
ajst-2154	3	87	special	special	ADJ
ajst-2154	3	88	lithology	lithology	NOUN
ajst-2154	3	89	,	,	PUNCT
ajst-2154	3	90	and	and	CCONJ
ajst-2154	3	91	overcomes	overcome	VERB
ajst-2154	3	92	the	the	DET
ajst-2154	3	93	defects	defect	NOUN
ajst-2154	3	94	of	of	ADP
ajst-2154	3	95	traditional	traditional	ADJ
ajst-2154	3	96	logging	log	VERB
ajst-2154	3	97	methods	method	NOUN
ajst-2154	3	98	.with	.with	ADP
ajst-2154	3	99	the	the	DET
ajst-2154	3	100	development	development	NOUN
ajst-2154	3	101	of	of	ADP
ajst-2154	3	102	nmr	nmr	NOUN
ajst-2154	3	103	theory	theory	NOUN
ajst-2154	3	104	,	,	PUNCT
ajst-2154	3	105	nmr	nmr	NOUN
ajst-2154	3	106	has	have	AUX
ajst-2154	3	107	been	be	AUX
ajst-2154	3	108	applied	apply	VERB
ajst-2154	3	109	to	to	ADP
ajst-2154	3	110	the	the	DET
ajst-2154	3	111	analysis	analysis	NOUN
ajst-2154	3	112	of	of	ADP
ajst-2154	3	113	well	well	ADV
ajst-2154	3	114	logging	log	VERB
ajst-2154	3	115	data	datum	NOUN
ajst-2154	3	116	.	.	PUNCT
ajst-2154	4	1	the	the	DET
ajst-2154	4	2	original	original	ADJ
ajst-2154	4	3	nmr	nmr	NOUN
ajst-2154	4	4	logging	log	VERB
ajst-2154	4	5	data	datum	NOUN
ajst-2154	4	6	are	be	AUX
ajst-2154	4	7	the	the	DET
ajst-2154	4	8	spin	spin	NOUN
ajst-2154	4	9	-	-	PUNCT
ajst-2154	4	10	echo	echo	NOUN
ajst-2154	4	11	string	string	NOUN
ajst-2154	4	12	observed	observe	VERB
ajst-2154	4	13	by	by	ADP
ajst-2154	4	14	the	the	DET
ajst-2154	4	15	spin	spin	NOUN
ajst-2154	4	16	echo	echo	NOUN
ajst-2154	4	17	string	string	NOUN
ajst-2154	4	18	,	,	PUNCT
ajst-2154	4	19	and	and	CCONJ
ajst-2154	4	20	its	its	PRON
ajst-2154	4	21	amplitude	amplitude	NOUN
ajst-2154	4	22	decays	decay	NOUN
ajst-2154	4	23	with	with	ADP
ajst-2154	4	24	time	time	NOUN
ajst-2154	4	25	.	.	PUNCT
ajst-2154	5	1	the	the	DET
ajst-2154	5	2	t2	t2	PROPN
ajst-2154	5	3	spectrum	spectrum	NOUN
ajst-2154	5	4	can	can	AUX
ajst-2154	5	5	be	be	AUX
ajst-2154	5	6	inversely	inversely	ADV
ajst-2154	5	7	calculated	calculate	VERB
ajst-2154	5	8	from	from	ADP
ajst-2154	5	9	the	the	DET
ajst-2154	5	10	measured	measured	ADJ
ajst-2154	5	11	logging	log	VERB
ajst-2154	5	12	data	datum	NOUN
ajst-2154	5	13	,	,	PUNCT
ajst-2154	5	14	and	and	CCONJ
ajst-2154	5	15	then	then	ADV
ajst-2154	5	16	the	the	DET
ajst-2154	5	17	t2	t2	NOUN
ajst-2154	5	18	spectrum	spectrum	NOUN
ajst-2154	5	19	can	can	AUX
ajst-2154	5	20	be	be	AUX
ajst-2154	5	21	further	far	ADV
ajst-2154	5	22	solved	solve	VERB
ajst-2154	5	23	to	to	PART
ajst-2154	5	24	obtain	obtain	VERB
ajst-2154	5	25	key	key	ADJ
ajst-2154	5	26	data	datum	NOUN
ajst-2154	5	27	such	such	ADJ
ajst-2154	5	28	as	as	ADP
ajst-2154	5	29	permeability	permeability	NOUN
ajst-2154	5	30	and	and	CCONJ
ajst-2154	5	31	porosity	porosity	NOUN
ajst-2154	5	32	.	.	PUNCT
ajst-2154	6	1	in	in	ADP
ajst-2154	6	2	this	this	DET
ajst-2154	6	3	paper	paper	NOUN
ajst-2154	6	4	,	,	PUNCT
ajst-2154	6	5	a	a	DET
ajst-2154	6	6	simulated	simulate	VERB
ajst-2154	6	7	t2	t2	NOUN
ajst-2154	6	8	spectrum	spectrum	NOUN
ajst-2154	6	9	is	be	AUX
ajst-2154	6	10	constructed	construct	VERB
ajst-2154	6	11	by	by	ADP
ajst-2154	6	12	forward	forward	ADJ
ajst-2154	6	13	modeling	modeling	NOUN
ajst-2154	6	14	,	,	PUNCT
ajst-2154	6	15	and	and	CCONJ
ajst-2154	6	16	the	the	DET
ajst-2154	6	17	inversion	inversion	NOUN
ajst-2154	6	18	is	be	AUX
ajst-2154	6	19	carried	carry	VERB
ajst-2154	6	20	out	out	ADP
ajst-2154	6	21	under	under	ADP
ajst-2154	6	22	different	different	ADJ
ajst-2154	6	23	snr	snr	NOUN
ajst-2154	6	24	.	.	PUNCT
ajst-2154	7	1	on	on	ADP
ajst-2154	7	2	this	this	DET
ajst-2154	7	3	basis	basis	NOUN
ajst-2154	7	4	,	,	PUNCT
ajst-2154	7	5	the	the	DET
ajst-2154	7	6	specific	specific	ADJ
ajst-2154	7	7	relationship	relationship	NOUN
ajst-2154	7	8	between	between	ADP
ajst-2154	7	9	the	the	DET
ajst-2154	7	10	optimal	optimal	ADJ
ajst-2154	7	11	number	number	NOUN
ajst-2154	7	12	of	of	ADP
ajst-2154	7	13	singular	singular	ADJ
ajst-2154	7	14	values	value	NOUN
ajst-2154	7	15	retained	retain	VERB
ajst-2154	7	16	and	and	CCONJ
ajst-2154	7	17	the	the	DET
ajst-2154	7	18	change	change	NOUN
ajst-2154	7	19	of	of	ADP
ajst-2154	7	20	snr	snr	PROPN
ajst-2154	7	21	is	be	AUX
ajst-2154	7	22	summarized	summarize	VERB
ajst-2154	7	23	,	,	PUNCT
ajst-2154	7	24	and	and	CCONJ
ajst-2154	7	25	an	an	DET
ajst-2154	7	26	improved	improved	ADJ
ajst-2154	7	27	singular	singular	ADJ
ajst-2154	7	28	value	value	NOUN
ajst-2154	7	29	decomposition	decomposition	NOUN
ajst-2154	7	30	algorithm	algorithm	NOUN
ajst-2154	7	31	is	be	AUX
ajst-2154	7	32	proposed	propose	VERB
ajst-2154	7	33	.	.	PUNCT
ajst-2154	8	1	inverse	inverse	ADJ
ajst-2154	8	2	problem	problem	NOUN
ajst-2154	8	3	can	can	AUX
ajst-2154	8	4	be	be	AUX
ajst-2154	8	5	converted	convert	VERB
ajst-2154	8	6	to	to	ADP
ajst-2154	8	7	nonlinear	nonlinear	ADJ
ajst-2154	8	8	fitting	fitting	ADJ
ajst-2154	8	9	optimization	optimization	NOUN
ajst-2154	8	10	problems	problem	NOUN
ajst-2154	8	11	with	with	ADP
ajst-2154	8	12	nonnegative	nonnegative	ADJ
ajst-2154	8	13	constraints	constraint	NOUN
ajst-2154	8	14	,	,	PUNCT
ajst-2154	8	15	linear	linear	ADJ
ajst-2154	8	16	truncation	truncation	NOUN
ajst-2154	8	17	algorithm	algorithm	NOUN
ajst-2154	8	18	on	on	ADP
ajst-2154	8	19	calculation	calculation	NOUN
ajst-2154	8	20	precision	precision	NOUN
ajst-2154	8	21	has	have	AUX
ajst-2154	8	22	increased	increase	VERB
ajst-2154	8	23	significantly	significantly	ADV
ajst-2154	8	24	,	,	PUNCT
ajst-2154	8	25	compared	compare	VERB
ajst-2154	8	26	with	with	ADP
ajst-2154	8	27	the	the	DET
ajst-2154	8	28	traditional	traditional	ADJ
ajst-2154	8	29	singular	singular	ADJ
ajst-2154	8	30	value	value	NOUN
ajst-2154	8	31	decomposition	decomposition	NOUN
ajst-2154	8	32	inversion	inversion	NOUN
ajst-2154	8	33	algorithm	algorithm	NOUN
ajst-2154	8	34	,	,	PUNCT
ajst-2154	8	35	a	a	DET
ajst-2154	8	36	new	new	ADJ
ajst-2154	8	37	algorithm	algorithm	NOUN
ajst-2154	8	38	of	of	ADP
ajst-2154	8	39	signal	signal	NOUN
ajst-2154	8	40	-	-	PUNCT
ajst-2154	8	41	to	to	ADP
ajst-2154	8	42	-	-	PUNCT
ajst-2154	8	43	noise	noise	NOUN
ajst-2154	8	44	ratio	ratio	NOUN
ajst-2154	8	45	on	on	ADP
ajst-2154	8	46	the	the	DET
ajst-2154	8	47	solution	solution	NOUN
ajst-2154	8	48	of	of	ADP
ajst-2154	8	49	smaller	small	ADJ
ajst-2154	8	50	and	and	CCONJ
ajst-2154	8	51	has	have	VERB
ajst-2154	8	52	better	well	ADJ
ajst-2154	8	53	stability	stability	NOUN
ajst-2154	8	54	,	,	PUNCT
ajst-2154	8	55	and	and	CCONJ
ajst-2154	8	56	through	through	ADP
ajst-2154	8	57	the	the	DET
ajst-2154	8	58	improvement	improvement	NOUN
ajst-2154	8	59	of	of	ADP
ajst-2154	8	60	nonnegative	nonnegative	ADJ
ajst-2154	8	61	constraint	constraint	NOUN
ajst-2154	8	62	processing	processing	NOUN
ajst-2154	8	63	structure	structure	NOUN
ajst-2154	8	64	was	be	AUX
ajst-2154	8	65	more	more	ADV
ajst-2154	8	66	rapid	rapid	ADJ
ajst-2154	8	67	inversion	inversion	NOUN
ajst-2154	8	68	iteration	iteration	NOUN
ajst-2154	8	69	algorithm	algorithm	NOUN
ajst-2154	8	70	.	.	PUNCT
ajst-2154	9	1	keywords	keyword	NOUN
ajst-2154	9	2	:	:	PUNCT
ajst-2154	9	3	nuclear	nuclear	ADJ
ajst-2154	9	4	magnetic	magnetic	ADJ
ajst-2154	9	5	resonance	resonance	NOUN
ajst-2154	9	6	,	,	PUNCT
ajst-2154	9	7	t2	t2	NOUN
ajst-2154	9	8	spectrum	spectrum	NOUN
ajst-2154	9	9	,	,	PUNCT
ajst-2154	9	10	the	the	DET
ajst-2154	9	11	inversion	inversion	NOUN
ajst-2154	9	12	,	,	PUNCT
ajst-2154	9	13	singular	singular	ADJ
ajst-2154	9	14	value	value	NOUN
ajst-2154	9	15	.	.	PUNCT
ajst-2154	10	1	1	1	X
ajst-2154	10	2	.	.	X
ajst-2154	10	3	introduction	introduction	NOUN
ajst-2154	10	4	nmr	nmr	NOUN
ajst-2154	10	5	was	be	AUX
ajst-2154	10	6	discovered	discover	VERB
ajst-2154	10	7	in	in	ADP
ajst-2154	10	8	1946	1946	NUM
ajst-2154	10	9	by	by	ADP
ajst-2154	10	10	two	two	NUM
ajst-2154	10	11	professors	professor	NOUN
ajst-2154	10	12	in	in	ADP
ajst-2154	10	13	the	the	DET
ajst-2154	10	14	united	united	PROPN
ajst-2154	10	15	states	states	PROPN
ajst-2154	10	16	.	.	PUNCT
ajst-2154	11	1	the	the	DET
ajst-2154	11	2	inversion	inversion	NOUN
ajst-2154	11	3	of	of	ADP
ajst-2154	11	4	nmr	nmr	NOUN
ajst-2154	11	5	t2	t2	NOUN
ajst-2154	11	6	spectrum	spectrum	NOUN
ajst-2154	11	7	is	be	AUX
ajst-2154	11	8	a	a	DET
ajst-2154	11	9	muruhe	muruhe	PROPN
ajst-2154	11	10	lti	lti	PROPN
ajst-2154	11	11	-	-	PUNCT
ajst-2154	11	12	exponential	exponential	NOUN
ajst-2154	11	13	fitting	fitting	NOUN
ajst-2154	11	14	of	of	ADP
ajst-2154	11	15	echo	echo	NOUN
ajst-2154	11	16	string	string	NOUN
ajst-2154	11	17	.	.	PUNCT
ajst-2154	12	1	nmr	nmr	NOUN
ajst-2154	12	2	has	have	AUX
ajst-2154	12	3	been	be	AUX
ajst-2154	12	4	active	active	ADJ
ajst-2154	12	5	in	in	ADP
ajst-2154	12	6	the	the	DET
ajst-2154	12	7	field	field	NOUN
ajst-2154	12	8	of	of	ADP
ajst-2154	12	9	logging	log	VERB
ajst-2154	12	10	technology	technology	NOUN
ajst-2154	12	11	for	for	ADP
ajst-2154	12	12	more	more	ADJ
ajst-2154	12	13	than	than	ADP
ajst-2154	12	14	50	50	NUM
ajst-2154	12	15	years	year	NOUN
ajst-2154	12	16	,	,	PUNCT
ajst-2154	12	17	and	and	CCONJ
ajst-2154	12	18	has	have	AUX
ajst-2154	12	19	accumulated	accumulate	VERB
ajst-2154	12	20	rich	rich	ADJ
ajst-2154	12	21	experience	experience	NOUN
ajst-2154	12	22	in	in	ADP
ajst-2154	12	23	basic	basic	ADJ
ajst-2154	12	24	theories	theory	NOUN
ajst-2154	12	25	such	such	ADJ
ajst-2154	12	26	as	as	ADP
ajst-2154	12	27	logging	log	VERB
ajst-2154	12	28	principles	principle	NOUN
ajst-2154	12	29	.	.	PUNCT
ajst-2154	13	1	noise	noise	NOUN
ajst-2154	13	2	is	be	AUX
ajst-2154	13	3	inevitably	inevitably	ADV
ajst-2154	13	4	generated	generate	VERB
ajst-2154	13	5	by	by	ADP
ajst-2154	13	6	logging	log	VERB
ajst-2154	13	7	instruments	instrument	NOUN
ajst-2154	13	8	.	.	PUNCT
ajst-2154	14	1	in	in	ADP
ajst-2154	14	2	general	general	ADJ
ajst-2154	14	3	,	,	PUNCT
ajst-2154	14	4	the	the	DET
ajst-2154	14	5	signal	signal	NOUN
ajst-2154	14	6	-	-	PUNCT
ajst-2154	14	7	to	to	ADP
ajst-2154	14	8	-	-	PUNCT
ajst-2154	14	9	noise	noise	NOUN
ajst-2154	14	10	ratio	ratio	NOUN
ajst-2154	14	11	(	(	PUNCT
ajst-2154	14	12	snr	snr	PROPN
ajst-2154	14	13	)	)	PUNCT
ajst-2154	14	14	is	be	AUX
ajst-2154	14	15	calculated	calculate	VERB
ajst-2154	14	16	from	from	ADP
ajst-2154	14	17	the	the	DET
ajst-2154	14	18	echo	echo	NOUN
ajst-2154	14	19	signal	signal	NOUN
ajst-2154	14	20	collected	collect	VERB
ajst-2154	14	21	in	in	ADP
ajst-2154	14	22	the	the	DET
ajst-2154	14	23	pore	pore	NOUN
ajst-2154	14	24	.	.	PUNCT
ajst-2154	15	1	the	the	DET
ajst-2154	15	2	signal	signal	NOUN
ajst-2154	15	3	is	be	AUX
ajst-2154	15	4	extracted	extract	VERB
ajst-2154	15	5	from	from	ADP
ajst-2154	15	6	the	the	DET
ajst-2154	15	7	noise	noise	NOUN
ajst-2154	15	8	interference	interference	NOUN
ajst-2154	15	9	and	and	CCONJ
ajst-2154	15	10	the	the	DET
ajst-2154	15	11	expected	expect	VERB
ajst-2154	15	12	t2	t2	NOUN
ajst-2154	15	13	spectrum	spectrum	NOUN
ajst-2154	15	14	is	be	AUX
ajst-2154	15	15	inverted	invert	VERB
ajst-2154	15	16	.	.	PUNCT
ajst-2154	16	1	for	for	ADP
ajst-2154	16	2	the	the	DET
ajst-2154	16	3	distribution	distribution	NOUN
ajst-2154	16	4	of	of	ADP
ajst-2154	16	5	t2	t2	NOUN
ajst-2154	16	6	transverse	transverse	NOUN
ajst-2154	16	7	relaxation	relaxation	NOUN
ajst-2154	16	8	time	time	NOUN
ajst-2154	16	9	,	,	PUNCT
ajst-2154	16	10	since	since	SCONJ
ajst-2154	16	11	the	the	DET
ajst-2154	16	12	entire	entire	ADJ
ajst-2154	16	13	t2	t2	NOUN
ajst-2154	16	14	spectrum	spectrum	NOUN
ajst-2154	16	15	distribution	distribution	NOUN
ajst-2154	16	16	is	be	AUX
ajst-2154	16	17	equal	equal	ADJ
ajst-2154	16	18	to	to	ADP
ajst-2154	16	19	the	the	DET
ajst-2154	16	20	initial	initial	ADJ
ajst-2154	16	21	echo	echo	NOUN
ajst-2154	16	22	size	size	NOUN
ajst-2154	16	23	,	,	PUNCT
ajst-2154	16	24	too	too	ADV
ajst-2154	16	25	many	many	ADJ
ajst-2154	16	26	distribution	distribution	NOUN
ajst-2154	16	27	points	point	NOUN
ajst-2154	16	28	will	will	AUX
ajst-2154	16	29	increase	increase	VERB
ajst-2154	16	30	the	the	DET
ajst-2154	16	31	uncertainty	uncertainty	NOUN
ajst-2154	16	32	of	of	ADP
ajst-2154	16	33	spectral	spectral	ADJ
ajst-2154	16	34	solution	solution	NOUN
ajst-2154	16	35	results	result	NOUN
ajst-2154	16	36	,	,	PUNCT
ajst-2154	16	37	thus	thus	ADV
ajst-2154	16	38	increasing	increase	VERB
ajst-2154	16	39	the	the	DET
ajst-2154	16	40	error	error	NOUN
ajst-2154	16	41	of	of	ADP
ajst-2154	16	42	inversion	inversion	NOUN
ajst-2154	16	43	results	result	NOUN
ajst-2154	16	44	.	.	PUNCT
ajst-2154	17	1	if	if	SCONJ
ajst-2154	17	2	the	the	DET
ajst-2154	17	3	number	number	NOUN
ajst-2154	17	4	of	of	ADP
ajst-2154	17	5	distribution	distribution	NOUN
ajst-2154	17	6	points	point	NOUN
ajst-2154	17	7	is	be	AUX
ajst-2154	17	8	too	too	ADV
ajst-2154	17	9	small	small	ADJ
ajst-2154	17	10	,	,	PUNCT
ajst-2154	17	11	most	most	ADV
ajst-2154	17	12	useful	useful	ADJ
ajst-2154	17	13	data	datum	NOUN
ajst-2154	17	14	will	will	AUX
ajst-2154	17	15	be	be	AUX
ajst-2154	17	16	lost	lose	VERB
ajst-2154	17	17	,	,	PUNCT
ajst-2154	17	18	and	and	CCONJ
ajst-2154	17	19	the	the	DET
ajst-2154	17	20	authenticity	authenticity	NOUN
ajst-2154	17	21	of	of	ADP
ajst-2154	17	22	the	the	DET
ajst-2154	17	23	inversion	inversion	NOUN
ajst-2154	17	24	image	image	NOUN
ajst-2154	17	25	can	can	AUX
ajst-2154	17	26	not	not	PART
ajst-2154	17	27	be	be	AUX
ajst-2154	17	28	guaranteed	guarantee	VERB
ajst-2154	17	29	.	.	PUNCT
ajst-2154	18	1	in	in	ADP
ajst-2154	18	2	the	the	DET
ajst-2154	18	3	current	current	ADJ
ajst-2154	18	4	research	research	NOUN
ajst-2154	18	5	of	of	ADP
ajst-2154	18	6	nmr	nmr	NOUN
ajst-2154	18	7	logging	log	VERB
ajst-2154	18	8	inversion	inversion	NOUN
ajst-2154	18	9	,	,	PUNCT
ajst-2154	18	10	singular	singular	ADJ
ajst-2154	18	11	value	value	NOUN
ajst-2154	18	12	decomposition	decomposition	NOUN
ajst-2154	18	13	(	(	PUNCT
ajst-2154	18	14	svd	svd	PROPN
ajst-2154	18	15	)	)	PUNCT
ajst-2154	18	16	is	be	AUX
ajst-2154	18	17	the	the	DET
ajst-2154	18	18	most	most	ADV
ajst-2154	18	19	widely	widely	ADV
ajst-2154	18	20	used	use	VERB
ajst-2154	18	21	method	method	NOUN
ajst-2154	18	22	.	.	PUNCT
ajst-2154	19	1	the	the	DET
ajst-2154	19	2	new	new	ADJ
ajst-2154	19	3	algorithm	algorithm	NOUN
ajst-2154	19	4	has	have	VERB
ajst-2154	19	5	strong	strong	ADJ
ajst-2154	19	6	adaptability	adaptability	NOUN
ajst-2154	19	7	to	to	ADP
ajst-2154	19	8	snr	snr	VERB
ajst-2154	19	9	and	and	CCONJ
ajst-2154	19	10	can	can	AUX
ajst-2154	19	11	get	get	VERB
ajst-2154	19	12	better	well	ADJ
ajst-2154	19	13	inversion	inversion	NOUN
ajst-2154	19	14	results	result	NOUN
ajst-2154	19	15	under	under	ADP
ajst-2154	19	16	different	different	ADJ
ajst-2154	19	17	distribution	distribution	NOUN
ajst-2154	19	18	methods	method	NOUN
ajst-2154	19	19	and	and	CCONJ
ajst-2154	19	20	different	different	ADJ
ajst-2154	19	21	distribution	distribution	NOUN
ajst-2154	19	22	points	point	NOUN
ajst-2154	19	23	.	.	PUNCT
ajst-2154	20	1	the	the	DET
ajst-2154	20	2	inversion	inversion	NOUN
ajst-2154	20	3	method	method	NOUN
ajst-2154	20	4	is	be	AUX
ajst-2154	20	5	based	base	VERB
ajst-2154	20	6	on	on	ADP
ajst-2154	20	7	the	the	DET
ajst-2154	20	8	research	research	NOUN
ajst-2154	20	9	of	of	ADP
ajst-2154	20	10	the	the	DET
ajst-2154	20	11	traditional	traditional	ADJ
ajst-2154	20	12	singular	singular	ADJ
ajst-2154	20	13	value	value	NOUN
ajst-2154	20	14	decomposition	decomposition	NOUN
ajst-2154	20	15	inversion	inversion	NOUN
ajst-2154	20	16	algorithm	algorithm	NOUN
ajst-2154	20	17	,	,	PUNCT
ajst-2154	20	18	analyzes	analyze	VERB
ajst-2154	20	19	the	the	DET
ajst-2154	20	20	main	main	ADJ
ajst-2154	20	21	factors	factor	NOUN
ajst-2154	20	22	affecting	affect	VERB
ajst-2154	20	23	the	the	DET
ajst-2154	20	24	inversion	inversion	NOUN
ajst-2154	20	25	results	result	NOUN
ajst-2154	20	26	,	,	PUNCT
ajst-2154	20	27	on	on	ADP
ajst-2154	20	28	this	this	DET
ajst-2154	20	29	basis	basis	NOUN
ajst-2154	20	30	,	,	PUNCT
ajst-2154	20	31	the	the	DET
ajst-2154	20	32	algorithm	algorithm	NOUN
ajst-2154	20	33	is	be	AUX
ajst-2154	20	34	optimized	optimize	VERB
ajst-2154	20	35	and	and	CCONJ
ajst-2154	20	36	improved	improve	VERB
ajst-2154	20	37	,	,	PUNCT
ajst-2154	20	38	and	and	CCONJ
ajst-2154	20	39	the	the	DET
ajst-2154	20	40	feasibility	feasibility	NOUN
ajst-2154	20	41	of	of	ADP
ajst-2154	20	42	the	the	DET
ajst-2154	20	43	algorithm	algorithm	NOUN
ajst-2154	20	44	is	be	AUX
ajst-2154	20	45	proved	prove	VERB
ajst-2154	20	46	by	by	ADP
ajst-2154	20	47	simulation	simulation	NOUN
ajst-2154	20	48	experiment	experiment	NOUN
ajst-2154	20	49	.	.	PUNCT
ajst-2154	21	1	in	in	ADP
ajst-2154	21	2	addition	addition	NOUN
ajst-2154	21	3	to	to	ADP
ajst-2154	21	4	the	the	DET
ajst-2154	21	5	application	application	NOUN
ajst-2154	21	6	value	value	NOUN
ajst-2154	21	7	,	,	PUNCT
ajst-2154	21	8	the	the	DET
ajst-2154	21	9	inversion	inversion	NOUN
ajst-2154	21	10	algorithm	algorithm	NOUN
ajst-2154	21	11	research	research	NOUN
ajst-2154	21	12	and	and	CCONJ
ajst-2154	21	13	experimental	experimental	ADJ
ajst-2154	21	14	research	research	NOUN
ajst-2154	21	15	can	can	AUX
ajst-2154	21	16	further	far	ADV
ajst-2154	21	17	improve	improve	VERB
ajst-2154	21	18	the	the	DET
ajst-2154	21	19	understanding	understanding	NOUN
ajst-2154	21	20	of	of	ADP
ajst-2154	21	21	the	the	DET
ajst-2154	21	22	nature	nature	NOUN
ajst-2154	21	23	of	of	ADP
ajst-2154	21	24	the	the	DET
ajst-2154	21	25	inversion	inversion	NOUN
ajst-2154	21	26	algorithm	algorithm	NOUN
ajst-2154	21	27	,	,	PUNCT
ajst-2154	21	28	and	and	CCONJ
ajst-2154	21	29	lay	lie	VERB
ajst-2154	21	30	the	the	DET
ajst-2154	21	31	foundation	foundation	NOUN
ajst-2154	21	32	for	for	ADP
ajst-2154	21	33	the	the	DET
ajst-2154	21	34	research	research	NOUN
ajst-2154	21	35	of	of	ADP
ajst-2154	21	36	a	a	DET
ajst-2154	21	37	more	more	ADV
ajst-2154	21	38	robust	robust	ADJ
ajst-2154	21	39	and	and	CCONJ
ajst-2154	21	40	practical	practical	ADJ
ajst-2154	21	41	new	new	ADJ
ajst-2154	21	42	algorithm	algorithm	NOUN
ajst-2154	21	43	.	.	PUNCT
ajst-2154	22	1	2	2	X
ajst-2154	22	2	.	.	X
ajst-2154	22	3	theoretical	theoretical	ADJ
ajst-2154	22	4	basis	basis	NOUN
ajst-2154	22	5	2.1	2.1	NUM
ajst-2154	22	6	.	.	PUNCT
ajst-2154	23	1	nuclear	nuclear	ADJ
ajst-2154	23	2	magnetic	magnetic	ADJ
ajst-2154	23	3	resonance	resonance	NOUN
ajst-2154	23	4	theory	theory	NOUN
ajst-2154	23	5	as	as	ADP
ajst-2154	23	6	for	for	ADP
ajst-2154	23	7	the	the	DET
ajst-2154	23	8	nucleus	nucleus	NOUN
ajst-2154	24	1	,	,	PUNCT
ajst-2154	24	2	it	it	PRON
ajst-2154	24	3	consists	consist	VERB
ajst-2154	24	4	mainly	mainly	ADV
ajst-2154	24	5	of	of	ADP
ajst-2154	24	6	protons	proton	NOUN
ajst-2154	24	7	and	and	CCONJ
ajst-2154	24	8	neutrons	neutron	NOUN
ajst-2154	24	9	.	.	PUNCT
ajst-2154	25	1	and	and	CCONJ
ajst-2154	25	2	there	there	PRON
ajst-2154	25	3	are	be	VERB
ajst-2154	25	4	big	big	ADJ
ajst-2154	25	5	differences	difference	NOUN
ajst-2154	25	6	and	and	CCONJ
ajst-2154	25	7	differences	difference	NOUN
ajst-2154	25	8	between	between	ADP
ajst-2154	25	9	the	the	DET
ajst-2154	25	10	two	two	NUM
ajst-2154	25	11	,	,	PUNCT
ajst-2154	25	12	one	one	NUM
ajst-2154	25	13	of	of	ADP
ajst-2154	25	14	the	the	DET
ajst-2154	25	15	main	main	ADJ
ajst-2154	25	16	aspects	aspect	NOUN
ajst-2154	25	17	is	be	AUX
ajst-2154	25	18	whether	whether	SCONJ
ajst-2154	25	19	charged	charge	VERB
ajst-2154	25	20	,	,	PUNCT
ajst-2154	25	21	and	and	CCONJ
ajst-2154	25	22	protons	proton	NOUN
ajst-2154	25	23	and	and	CCONJ
ajst-2154	25	24	neutrons	neutron	NOUN
ajst-2154	25	25	are	be	AUX
ajst-2154	25	26	called	call	VERB
ajst-2154	25	27	nucleon	nucleon	NOUN
ajst-2154	25	28	.	.	PUNCT
ajst-2154	26	1	the	the	DET
ajst-2154	26	2	electric	electric	ADJ
ajst-2154	26	3	charge	charge	NOUN
ajst-2154	26	4	and	and	CCONJ
ajst-2154	26	5	the	the	DET
ajst-2154	26	6	mass	mass	NOUN
ajst-2154	26	7	of	of	ADP
ajst-2154	26	8	the	the	DET
ajst-2154	26	9	nucleus	nucleus	NOUN
ajst-2154	26	10	fully	fully	ADV
ajst-2154	26	11	show	show	VERB
ajst-2154	26	12	its	its	PRON
ajst-2154	26	13	basic	basic	ADJ
ajst-2154	26	14	characteristics	characteristic	NOUN
ajst-2154	26	15	.	.	PUNCT
ajst-2154	27	1	the	the	DET
ajst-2154	27	2	number	number	NOUN
ajst-2154	27	3	of	of	ADP
ajst-2154	27	4	protons	proton	NOUN
ajst-2154	27	5	in	in	ADP
ajst-2154	27	6	the	the	DET
ajst-2154	27	7	nucleus	nucleus	NOUN
ajst-2154	27	8	determines	determine	VERB
ajst-2154	27	9	the	the	DET
ajst-2154	27	10	charge	charge	NOUN
ajst-2154	27	11	of	of	ADP
ajst-2154	27	12	the	the	DET
ajst-2154	27	13	nucleus	nucleus	NOUN
ajst-2154	27	14	,	,	PUNCT
ajst-2154	27	15	and	and	CCONJ
ajst-2154	27	16	the	the	DET
ajst-2154	27	17	sum	sum	NOUN
ajst-2154	27	18	of	of	ADP
ajst-2154	27	19	the	the	DET
ajst-2154	27	20	number	number	NOUN
ajst-2154	27	21	of	of	ADP
ajst-2154	27	22	protons	proton	NOUN
ajst-2154	27	23	and	and	CCONJ
ajst-2154	27	24	neutrons	neutron	NOUN
ajst-2154	27	25	is	be	AUX
ajst-2154	27	26	the	the	DET
ajst-2154	27	27	mass	mass	NOUN
ajst-2154	27	28	of	of	ADP
ajst-2154	27	29	the	the	DET
ajst-2154	27	30	nucleus	nucleus	NOUN
ajst-2154	27	31	.	.	PUNCT
ajst-2154	28	1	when	when	SCONJ
ajst-2154	28	2	the	the	DET
ajst-2154	28	3	charge	charge	NOUN
ajst-2154	28	4	and	and	CCONJ
ajst-2154	28	5	mass	mass	NOUN
ajst-2154	28	6	of	of	ADP
ajst-2154	28	7	the	the	DET
ajst-2154	28	8	nucleus	nucleus	NOUN
ajst-2154	28	9	are	be	AUX
ajst-2154	28	10	taken	take	VERB
ajst-2154	28	11	as	as	ADP
ajst-2154	28	12	the	the	DET
ajst-2154	28	13	starting	starting	NOUN
ajst-2154	28	14	point	point	NOUN
ajst-2154	28	15	in	in	ADP
ajst-2154	28	16	the	the	DET
ajst-2154	28	17	analysis	analysis	NOUN
ajst-2154	28	18	process	process	NOUN
ajst-2154	28	19	,	,	PUNCT
ajst-2154	28	20	it	it	PRON
ajst-2154	28	21	is	be	AUX
ajst-2154	28	22	obvious	obvious	ADJ
ajst-2154	28	23	that	that	SCONJ
ajst-2154	28	24	there	there	PRON
ajst-2154	28	25	is	be	VERB
ajst-2154	28	26	a	a	DET
ajst-2154	28	27	strong	strong	ADJ
ajst-2154	28	28	interaction	interaction	NOUN
ajst-2154	28	29	between	between	ADP
ajst-2154	28	30	the	the	DET
ajst-2154	28	31	nucleus	nucleus	NOUN
ajst-2154	28	32	and	and	CCONJ
ajst-2154	28	33	the	the	DET
ajst-2154	28	34	surrounding	surround	VERB
ajst-2154	28	35	particles	particle	NOUN
ajst-2154	28	36	,	,	PUNCT
ajst-2154	28	37	but	but	CCONJ
ajst-2154	28	38	it	it	PRON
ajst-2154	28	39	is	be	AUX
ajst-2154	28	40	difficult	difficult	ADJ
ajst-2154	28	41	to	to	PART
ajst-2154	28	42	explain	explain	VERB
ajst-2154	28	43	some	some	DET
ajst-2154	28	44	weak	weak	ADJ
ajst-2154	28	45	interactions	interaction	NOUN
ajst-2154	28	46	,	,	PUNCT
ajst-2154	28	47	such	such	ADJ
ajst-2154	28	48	as	as	ADP
ajst-2154	28	49	the	the	DET
ajst-2154	28	50	now	now	ADV
ajst-2154	28	51	well	well	ADV
ajst-2154	28	52	-	-	PUNCT
ajst-2154	28	53	known	know	VERB
ajst-2154	28	54	nuclear	nuclear	ADJ
ajst-2154	28	55	magnetic	magnetic	ADJ
ajst-2154	28	56	resonance	resonance	NOUN
ajst-2154	28	57	phenomenon	phenomenon	NOUN
ajst-2154	28	58	.	.	PUNCT
ajst-2154	29	1	understanding	understand	VERB
ajst-2154	29	2	the	the	DET
ajst-2154	29	3	spin	spin	NOUN
ajst-2154	29	4	in	in	ADP
ajst-2154	29	5	the	the	DET
ajst-2154	29	6	nucleus	nucleus	NOUN
ajst-2154	29	7	,	,	PUNCT
ajst-2154	29	8	which	which	PRON
ajst-2154	29	9	is	be	AUX
ajst-2154	29	10	produced	produce	VERB
ajst-2154	29	11	by	by	ADP
ajst-2154	29	12	the	the	DET
ajst-2154	29	13	momentum	momentum	NOUN
ajst-2154	29	14	of	of	ADP
ajst-2154	29	15	another	another	DET
ajst-2154	29	16	internal	internal	ADJ
ajst-2154	29	17	angle	angle	NOUN
ajst-2154	29	18	,	,	PUNCT
ajst-2154	29	19	will	will	AUX
ajst-2154	29	20	explain	explain	VERB
ajst-2154	29	21	the	the	DET
ajst-2154	29	22	phenomena	phenomenon	NOUN
ajst-2154	29	23	of	of	ADP
ajst-2154	29	24	nmr	nmr	NOUN
ajst-2154	29	25	.	.	PUNCT
ajst-2154	30	1	at	at	ADP
ajst-2154	30	2	present	present	NOUN
ajst-2154	30	3	,	,	PUNCT
ajst-2154	30	4	when	when	SCONJ
ajst-2154	30	5	we	we	PRON
ajst-2154	30	6	divide	divide	VERB
ajst-2154	30	7	nuclei	nucleus	NOUN
ajst-2154	30	8	,	,	PUNCT
ajst-2154	30	9	we	we	PRON
ajst-2154	30	10	can	can	AUX
ajst-2154	30	11	divide	divide	VERB
ajst-2154	30	12	nuclei	nucleus	NOUN
ajst-2154	30	13	with	with	ADP
ajst-2154	30	14	spin	spin	NOUN
ajst-2154	30	15	and	and	CCONJ
ajst-2154	30	16	nuclei	nucleus	NOUN
ajst-2154	30	17	without	without	ADP
ajst-2154	30	18	spin	spin	NOUN
ajst-2154	30	19	on	on	ADP
ajst-2154	30	20	the	the	DET
ajst-2154	30	21	basis	basis	NOUN
ajst-2154	30	22	of	of	ADP
ajst-2154	30	23	spin	spin	NOUN
ajst-2154	30	24	status	status	NOUN
ajst-2154	30	25	.	.	PUNCT
ajst-2154	31	1	existing	exist	VERB
ajst-2154	31	2	research	research	NOUN
ajst-2154	31	3	has	have	AUX
ajst-2154	31	4	found	find	VERB
ajst-2154	31	5	that	that	SCONJ
ajst-2154	31	6	nuclei	nucleus	NOUN
ajst-2154	31	7	with	with	ADP
ajst-2154	31	8	odd	odd	ADJ
ajst-2154	31	9	atomic	atomic	ADJ
ajst-2154	31	10	numbers	number	NOUN
ajst-2154	31	11	have	have	AUX
ajst-2154	31	12	"	"	PUNCT
ajst-2154	31	13	spin	spin	VERB
ajst-2154	31	14	"	"	PUNCT
ajst-2154	31	15	.	.	PUNCT
ajst-2154	32	1	when	when	SCONJ
ajst-2154	32	2	we	we	PRON
ajst-2154	32	3	set	set	VERB
ajst-2154	32	4	up	up	ADP
ajst-2154	32	5	the	the	DET
ajst-2154	32	6	corresponding	corresponding	ADJ
ajst-2154	32	7	magnetic	magnetic	ADJ
ajst-2154	32	8	field	field	NOUN
ajst-2154	32	9	around	around	ADP
ajst-2154	32	10	the	the	DET
ajst-2154	32	11	core	core	NOUN
ajst-2154	32	12	in	in	ADP
ajst-2154	32	13	the	the	DET
ajst-2154	32	14	current	current	ADJ
ajst-2154	32	15	state	state	NOUN
ajst-2154	32	16	,	,	PUNCT
ajst-2154	32	17	its	its	PRON
ajst-2154	32	18	motion	motion	NOUN
ajst-2154	32	19	state	state	NOUN
ajst-2154	32	20	is	be	AUX
ajst-2154	32	21	similar	similar	ADJ
ajst-2154	32	22	to	to	ADP
ajst-2154	32	23	that	that	PRON
ajst-2154	32	24	of	of	ADP
ajst-2154	32	25	a	a	DET
ajst-2154	32	26	gyro	gyro	NOUN
ajst-2154	32	27	.	.	PUNCT
ajst-2154	33	1	in	in	ADP
ajst-2154	33	2	fact	fact	NOUN
ajst-2154	33	3	,	,	PUNCT
ajst-2154	33	4	one	one	NUM
ajst-2154	33	5	of	of	ADP
ajst-2154	33	6	the	the	DET
ajst-2154	33	7	things	thing	NOUN
ajst-2154	33	8	that	that	PRON
ajst-2154	33	9	we	we	PRON
ajst-2154	33	10	're	be	AUX
ajst-2154	33	11	going	go	VERB
ajst-2154	33	12	to	to	PART
ajst-2154	33	13	focus	focus	VERB
ajst-2154	33	14	on	on	ADP
ajst-2154	33	15	in	in	ADP
ajst-2154	33	16	our	our	PRON
ajst-2154	33	17	analysis	analysis	NOUN
ajst-2154	33	18	of	of	ADP
ajst-2154	33	19	nmr	nmr	NOUN
ajst-2154	33	20	is	be	AUX
ajst-2154	33	21	the	the	DET
ajst-2154	33	22	spin	spin	NOUN
ajst-2154	33	23	nucleus	nucleus	NOUN
ajst-2154	33	24	.	.	PUNCT
ajst-2154	34	1	2.2	2.2	NUM
ajst-2154	34	2	.	.	PUNCT
ajst-2154	35	1	the	the	DET
ajst-2154	35	2	relaxation	relaxation	NOUN
ajst-2154	35	3	process	process	NOUN
ajst-2154	35	4	when	when	SCONJ
ajst-2154	35	5	no	no	DET
ajst-2154	35	6	external	external	ADJ
ajst-2154	35	7	magnetic	magnetic	ADJ
ajst-2154	35	8	field	field	NOUN
ajst-2154	35	9	is	be	AUX
ajst-2154	35	10	applied	apply	VERB
ajst-2154	35	11	,	,	PUNCT
ajst-2154	35	12	the	the	DET
ajst-2154	35	13	nucleus	nucleus	ADJ
ajst-2154	35	14	population	population	NOUN
ajst-2154	35	15	is	be	AUX
ajst-2154	35	16	in	in	ADP
ajst-2154	35	17	equilibrium	equilibrium	NOUN
ajst-2154	35	18	,	,	PUNCT
ajst-2154	35	19	and	and	CCONJ
ajst-2154	35	20	its	its	PRON
ajst-2154	35	21	magnetization	magnetization	NOUN
ajst-2154	35	22	vector	vector	NOUN
ajst-2154	35	23	is	be	AUX
ajst-2154	35	24	in	in	ADP
ajst-2154	35	25	the	the	DET
ajst-2154	35	26	same	same	ADJ
ajst-2154	35	27	direction	direction	NOUN
ajst-2154	35	28	as	as	ADP
ajst-2154	35	29	the	the	DET
ajst-2154	35	30	static	static	ADJ
ajst-2154	35	31	magnetic	magnetic	ADJ
ajst-2154	35	32	field	field	NOUN
ajst-2154	35	33	.	.	PUNCT
ajst-2154	36	1	when	when	SCONJ
ajst-2154	36	2	an	an	DET
ajst-2154	36	3	external	external	ADJ
ajst-2154	36	4	rf	rf	NOUN
ajst-2154	36	5	pulse	pulse	NOUN
ajst-2154	36	6	is	be	AUX
ajst-2154	36	7	applied	apply	VERB
ajst-2154	36	8	,	,	PUNCT
ajst-2154	36	9	the	the	DET
ajst-2154	36	10	equilibrium	equilibrium	NOUN
ajst-2154	36	11	of	of	ADP
ajst-2154	36	12	the	the	DET
ajst-2154	36	13	nuclear	nuclear	ADJ
ajst-2154	36	14	126	126	NUM
ajst-2154	36	15	system	system	NOUN
ajst-2154	36	16	is	be	AUX
ajst-2154	36	17	destroyed	destroy	VERB
ajst-2154	36	18	,	,	PUNCT
ajst-2154	36	19	the	the	DET
ajst-2154	36	20	nucleus	nucleus	ADJ
ajst-2154	36	21	precession	precession	NOUN
ajst-2154	36	22	occurs	occur	VERB
ajst-2154	36	23	,	,	PUNCT
ajst-2154	36	24	the	the	DET
ajst-2154	36	25	magnetization	magnetization	NOUN
ajst-2154	36	26	vector	vector	NOUN
ajst-2154	36	27	direction	direction	NOUN
ajst-2154	36	28	of	of	ADP
ajst-2154	36	29	the	the	DET
ajst-2154	36	30	rf	rf	ADJ
ajst-2154	36	31	pulse	pulse	NOUN
ajst-2154	36	32	is	be	AUX
ajst-2154	36	33	shifted	shift	VERB
ajst-2154	36	34	,	,	PUNCT
ajst-2154	36	35	and	and	CCONJ
ajst-2154	36	36	the	the	DET
ajst-2154	36	37	nuclear	nuclear	ADJ
ajst-2154	36	38	system	system	NOUN
ajst-2154	36	39	is	be	AUX
ajst-2154	36	40	in	in	ADP
ajst-2154	36	41	an	an	DET
ajst-2154	36	42	unbalanced	unbalanced	ADJ
ajst-2154	36	43	state	state	NOUN
ajst-2154	36	44	.	.	PUNCT
ajst-2154	37	1	when	when	SCONJ
ajst-2154	37	2	the	the	DET
ajst-2154	37	3	rf	rf	ADJ
ajst-2154	37	4	pulse	pulse	NOUN
ajst-2154	37	5	is	be	AUX
ajst-2154	37	6	removed	remove	VERB
ajst-2154	37	7	,	,	PUNCT
ajst-2154	37	8	the	the	DET
ajst-2154	37	9	nuclear	nuclear	ADJ
ajst-2154	37	10	system	system	NOUN
ajst-2154	37	11	is	be	AUX
ajst-2154	37	12	only	only	ADV
ajst-2154	37	13	affected	affect	VERB
ajst-2154	37	14	by	by	ADP
ajst-2154	37	15	the	the	DET
ajst-2154	37	16	static	static	ADJ
ajst-2154	37	17	magnetic	magnetic	ADJ
ajst-2154	37	18	field	field	NOUN
ajst-2154	37	19	,	,	PUNCT
ajst-2154	37	20	and	and	CCONJ
ajst-2154	37	21	the	the	DET
ajst-2154	37	22	magnetization	magnetization	NOUN
ajst-2154	37	23	vector	vector	NOUN
ajst-2154	37	24	will	will	AUX
ajst-2154	37	25	gradually	gradually	ADV
ajst-2154	37	26	recover	recover	VERB
ajst-2154	37	27	in	in	ADP
ajst-2154	37	28	the	the	DET
ajst-2154	37	29	direction	direction	NOUN
ajst-2154	37	30	of	of	ADP
ajst-2154	37	31	the	the	DET
ajst-2154	37	32	static	static	ADJ
ajst-2154	37	33	magnetic	magnetic	ADJ
ajst-2154	37	34	field	field	NOUN
ajst-2154	37	35	.	.	PUNCT
ajst-2154	38	1	this	this	DET
ajst-2154	38	2	process	process	NOUN
ajst-2154	38	3	of	of	ADP
ajst-2154	38	4	nuclear	nuclear	ADJ
ajst-2154	38	5	system	system	NOUN
ajst-2154	38	6	gradually	gradually	ADV
ajst-2154	38	7	recovering	recover	VERB
ajst-2154	38	8	from	from	ADP
ajst-2154	38	9	non	non	ADJ
ajst-2154	38	10	-	-	NOUN
ajst-2154	38	11	equilibrium	equilibrium	NOUN
ajst-2154	38	12	to	to	ADP
ajst-2154	38	13	equilibrium	equilibrium	NOUN
ajst-2154	38	14	state	state	NOUN
ajst-2154	38	15	is	be	AUX
ajst-2154	38	16	called	call	VERB
ajst-2154	38	17	relaxation	relaxation	NOUN
ajst-2154	38	18	.	.	PUNCT
ajst-2154	39	1	figure	figure	NOUN
ajst-2154	39	2	1	1	NUM
ajst-2154	39	3	shows	show	VERB
ajst-2154	39	4	the	the	DET
ajst-2154	39	5	magnetization	magnetization	NOUN
ajst-2154	39	6	in	in	ADP
ajst-2154	39	7	equilibrium	equilibrium	NOUN
ajst-2154	39	8	state	state	NOUN
ajst-2154	39	9	,	,	PUNCT
ajst-2154	39	10	and	and	CCONJ
ajst-2154	39	11	figure	figure	VERB
ajst-2154	39	12	2	2	NUM
ajst-2154	39	13	shows	show	VERB
ajst-2154	39	14	the	the	DET
ajst-2154	39	15	magnetization	magnetization	NOUN
ajst-2154	39	16	in	in	ADP
ajst-2154	39	17	imbalance	imbalance	NOUN
ajst-2154	39	18	state	state	NOUN
ajst-2154	39	19	.	.	PUNCT
ajst-2154	40	1	the	the	DET
ajst-2154	40	2	relaxation	relaxation	NOUN
ajst-2154	40	3	can	can	AUX
ajst-2154	40	4	be	be	AUX
ajst-2154	40	5	divided	divide	VERB
ajst-2154	40	6	into	into	ADP
ajst-2154	40	7	transverse	transverse	ADJ
ajst-2154	40	8	relaxation	relaxation	NOUN
ajst-2154	40	9	and	and	CCONJ
ajst-2154	40	10	longitudinal	longitudinal	ADJ
ajst-2154	40	11	relaxation	relaxation	NOUN
ajst-2154	40	12	.	.	PUNCT
ajst-2154	41	1	when	when	SCONJ
ajst-2154	41	2	an	an	DET
ajst-2154	41	3	external	external	ADJ
ajst-2154	41	4	rf	rf	NOUN
ajst-2154	41	5	pulse	pulse	NOUN
ajst-2154	41	6	is	be	AUX
ajst-2154	41	7	applied	apply	VERB
ajst-2154	41	8	,	,	PUNCT
ajst-2154	41	9	the	the	DET
ajst-2154	41	10	direction	direction	NOUN
ajst-2154	41	11	of	of	ADP
ajst-2154	41	12	the	the	DET
ajst-2154	41	13	macroscopic	macroscopic	ADJ
ajst-2154	41	14	magnetization	magnetization	NOUN
ajst-2154	41	15	vector	vector	NOUN
ajst-2154	41	16	m	m	PROPN
ajst-2154	41	17	will	will	AUX
ajst-2154	41	18	shift	shift	VERB
ajst-2154	41	19	,	,	PUNCT
ajst-2154	41	20	which	which	PRON
ajst-2154	41	21	can	can	AUX
ajst-2154	41	22	be	be	AUX
ajst-2154	41	23	decomposed	decompose	VERB
ajst-2154	41	24	into	into	ADP
ajst-2154	41	25	transverse	transverse	NOUN
ajst-2154	41	26	component	component	NOUN
ajst-2154	41	27	along	along	ADP
ajst-2154	41	28	the	the	DET
ajst-2154	41	29	horizontal	horizontal	ADJ
ajst-2154	41	30	plane	plane	NOUN
ajst-2154	41	31	and	and	CCONJ
ajst-2154	41	32	longitudinal	longitudinal	ADJ
ajst-2154	41	33	component	component	NOUN
ajst-2154	41	34	along	along	ADP
ajst-2154	41	35	the	the	DET
ajst-2154	41	36	longitudinal	longitudinal	ADJ
ajst-2154	41	37	axis	axis	NOUN
ajst-2154	41	38	.	.	PUNCT
ajst-2154	42	1	figure	figure	NOUN
ajst-2154	42	2	1	1	NUM
ajst-2154	42	3	.	.	PUNCT
ajst-2154	43	1	magnetization	magnetization	NOUN
ajst-2154	43	2	at	at	ADP
ajst-2154	43	3	equilibrium	equilibrium	NOUN
ajst-2154	43	4	the	the	DET
ajst-2154	43	5	recovery	recovery	NOUN
ajst-2154	43	6	process	process	NOUN
ajst-2154	43	7	along	along	ADP
ajst-2154	43	8	the	the	DET
ajst-2154	43	9	horizontal	horizontal	ADJ
ajst-2154	43	10	plane	plane	NOUN
ajst-2154	43	11	of	of	ADP
ajst-2154	43	12	the	the	DET
ajst-2154	43	13	transverse	transverse	NOUN
ajst-2154	43	14	relaxation	relaxation	NOUN
ajst-2154	43	15	component	component	NOUN
ajst-2154	43	16	m	m	VERB
ajst-2154	43	17	to	to	ADP
ajst-2154	43	18	the	the	DET
ajst-2154	43	19	initial	initial	ADJ
ajst-2154	43	20	state	state	NOUN
ajst-2154	43	21	value	value	NOUN
ajst-2154	43	22	of	of	ADP
ajst-2154	43	23	zero	zero	NUM
ajst-2154	43	24	is	be	AUX
ajst-2154	43	25	called	call	VERB
ajst-2154	43	26	the	the	DET
ajst-2154	43	27	transverse	transverse	NOUN
ajst-2154	43	28	relaxation	relaxation	NOUN
ajst-2154	43	29	process	process	NOUN
ajst-2154	43	30	,	,	PUNCT
ajst-2154	43	31	and	and	CCONJ
ajst-2154	43	32	the	the	DET
ajst-2154	43	33	time	time	NOUN
ajst-2154	43	34	required	require	VERB
ajst-2154	43	35	for	for	ADP
ajst-2154	43	36	complete	complete	ADJ
ajst-2154	43	37	recovery	recovery	NOUN
ajst-2154	43	38	is	be	AUX
ajst-2154	43	39	called	call	VERB
ajst-2154	43	40	the	the	DET
ajst-2154	43	41	transverse	transverse	NOUN
ajst-2154	43	42	relaxation	relaxation	NOUN
ajst-2154	43	43	time	time	NOUN
ajst-2154	43	44	,	,	PUNCT
ajst-2154	43	45	denoted	denote	VERB
ajst-2154	43	46	by	by	ADP
ajst-2154	43	47	t2	t2	PROPN
ajst-2154	43	48	.	.	PUNCT
ajst-2154	44	1	the	the	DET
ajst-2154	44	2	recovery	recovery	NOUN
ajst-2154	44	3	process	process	NOUN
ajst-2154	44	4	of	of	ADP
ajst-2154	44	5	the	the	DET
ajst-2154	44	6	longitudinal	longitudinal	ADJ
ajst-2154	44	7	relaxation	relaxation	NOUN
ajst-2154	44	8	component	component	NOUN
ajst-2154	44	9	m	m	VERB
ajst-2154	44	10	along	along	ADP
ajst-2154	44	11	the	the	DET
ajst-2154	44	12	longitudinal	longitudinal	ADJ
ajst-2154	44	13	axis	axis	NOUN
ajst-2154	44	14	to	to	ADP
ajst-2154	44	15	the	the	DET
ajst-2154	44	16	initial	initial	ADJ
ajst-2154	44	17	state	state	NOUN
ajst-2154	44	18	value	value	NOUN
ajst-2154	44	19	m	m	VERB
ajst-2154	44	20	is	be	AUX
ajst-2154	44	21	called	call	VERB
ajst-2154	44	22	the	the	DET
ajst-2154	44	23	longitudinal	longitudinal	ADJ
ajst-2154	44	24	relaxation	relaxation	NOUN
ajst-2154	44	25	process	process	NOUN
ajst-2154	44	26	,	,	PUNCT
ajst-2154	44	27	and	and	CCONJ
ajst-2154	44	28	the	the	DET
ajst-2154	44	29	time	time	NOUN
ajst-2154	44	30	required	require	VERB
ajst-2154	44	31	for	for	ADP
ajst-2154	44	32	complete	complete	ADJ
ajst-2154	44	33	recovery	recovery	NOUN
ajst-2154	44	34	is	be	AUX
ajst-2154	44	35	called	call	VERB
ajst-2154	44	36	the	the	DET
ajst-2154	44	37	longitudinal	longitudinal	ADJ
ajst-2154	44	38	relaxation	relaxation	NOUN
ajst-2154	44	39	time	time	NOUN
ajst-2154	44	40	,	,	PUNCT
ajst-2154	44	41	denoted	denote	VERB
ajst-2154	44	42	by	by	ADP
ajst-2154	44	43	t1	t1	PROPN
ajst-2154	44	44	.	.	PUNCT
ajst-2154	45	1	figure	figure	NOUN
ajst-2154	45	2	2	2	NUM
ajst-2154	45	3	.	.	PUNCT
ajst-2154	45	4	magnetization	magnetization	NOUN
ajst-2154	45	5	in	in	ADP
ajst-2154	45	6	an	an	DET
ajst-2154	45	7	unbalanced	unbalanced	ADJ
ajst-2154	45	8	state	state	NOUN
ajst-2154	45	9	3	3	NUM
ajst-2154	45	10	.	.	PUNCT
ajst-2154	45	11	nmr	nmr	NOUN
ajst-2154	45	12	relaxation	relaxation	NOUN
ajst-2154	45	13	signal	signal	NOUN
ajst-2154	45	14	model	model	NOUN
ajst-2154	45	15	from	from	ADP
ajst-2154	45	16	the	the	DET
ajst-2154	45	17	perspective	perspective	NOUN
ajst-2154	45	18	of	of	ADP
ajst-2154	45	19	the	the	DET
ajst-2154	45	20	composition	composition	NOUN
ajst-2154	45	21	of	of	ADP
ajst-2154	45	22	reservoir	reservoir	NOUN
ajst-2154	45	23	pores	pore	NOUN
ajst-2154	45	24	,	,	PUNCT
ajst-2154	45	25	they	they	PRON
ajst-2154	45	26	contain	contain	VERB
ajst-2154	45	27	many	many	ADJ
ajst-2154	45	28	fluid	fluid	ADJ
ajst-2154	45	29	components	component	NOUN
ajst-2154	45	30	,	,	PUNCT
ajst-2154	45	31	and	and	CCONJ
ajst-2154	45	32	for	for	ADP
ajst-2154	45	33	the	the	DET
ajst-2154	45	34	spin	spin	NOUN
ajst-2154	45	35	echo	echo	NOUN
ajst-2154	45	36	series	series	NOUN
ajst-2154	45	37	obtained	obtain	VERB
ajst-2154	45	38	with	with	ADP
ajst-2154	45	39	the	the	DET
ajst-2154	45	40	support	support	NOUN
ajst-2154	45	41	of	of	ADP
ajst-2154	45	42	cpmg	cpmg	PROPN
ajst-2154	45	43	pulse	pulse	NOUN
ajst-2154	45	44	train	train	NOUN
ajst-2154	45	45	,	,	PUNCT
ajst-2154	45	46	it	it	PRON
ajst-2154	45	47	mainly	mainly	ADV
ajst-2154	45	48	refers	refer	VERB
ajst-2154	45	49	to	to	ADP
ajst-2154	45	50	the	the	DET
ajst-2154	45	51	multi	multi	ADJ
ajst-2154	45	52	-	-	ADJ
ajst-2154	45	53	exponential	exponential	ADJ
ajst-2154	45	54	decay	decay	NOUN
ajst-2154	45	55	relaxation	relaxation	NOUN
ajst-2154	45	56	signals	signal	NOUN
ajst-2154	45	57	formed	form	VERB
ajst-2154	45	58	by	by	ADP
ajst-2154	45	59	the	the	DET
ajst-2154	45	60	joint	joint	ADJ
ajst-2154	45	61	action	action	NOUN
ajst-2154	45	62	of	of	ADP
ajst-2154	45	63	many	many	ADJ
ajst-2154	45	64	single	single	ADJ
ajst-2154	45	65	exponential	exponential	ADJ
ajst-2154	45	66	decay	decay	NOUN
ajst-2154	45	67	signals	signal	NOUN
ajst-2154	45	68	.	.	PUNCT
ajst-2154	46	1	it	it	PRON
ajst-2154	46	2	can	can	AUX
ajst-2154	46	3	be	be	AUX
ajst-2154	46	4	obviously	obviously	ADV
ajst-2154	46	5	found	find	VERB
ajst-2154	46	6	that	that	SCONJ
ajst-2154	46	7	the	the	DET
ajst-2154	46	8	component	component	NOUN
ajst-2154	46	9	of	of	ADP
ajst-2154	46	10	the	the	DET
ajst-2154	46	11	ith	ith	PROPN
ajst-2154	46	12	echo	echo	NOUN
ajst-2154	46	13	signal	signal	PROPN
ajst-2154	46	14	amplitude	amplitude	NOUN
ajst-2154	46	15	b	b	NOUN
ajst-2154	46	16	mainly	mainly	ADV
ajst-2154	46	17	includes	include	VERB
ajst-2154	46	18	the	the	DET
ajst-2154	46	19	response	response	NOUN
ajst-2154	46	20	signals	signal	NOUN
ajst-2154	46	21	of	of	ADP
ajst-2154	46	22	various	various	ADJ
ajst-2154	46	23	relaxation	relaxation	NOUN
ajst-2154	46	24	components	component	NOUN
ajst-2154	46	25	.	.	PUNCT
ajst-2154	47	1	based	base	VERB
ajst-2154	47	2	on	on	ADP
ajst-2154	47	3	this	this	PRON
ajst-2154	47	4	,	,	PUNCT
ajst-2154	47	5	the	the	DET
ajst-2154	47	6	corresponding	corresponding	ADJ
ajst-2154	47	7	discrete	discrete	ADJ
ajst-2154	47	8	model	model	NOUN
ajst-2154	47	9	can	can	AUX
ajst-2154	47	10	be	be	AUX
ajst-2154	47	11	obtained	obtain	VERB
ajst-2154	47	12	as	as	SCONJ
ajst-2154	47	13	follows	follow	VERB
ajst-2154	47	14	:	:	PUNCT
ajst-2154	48	1	𝑏	𝑏	NOUN
ajst-2154	48	2	∑	∑	PUNCT
ajst-2154	48	3	𝑥	𝑥	PROPN
ajst-2154	48	4	𝑒	𝑒	PROPN
ajst-2154	48	5	/	/	SYM
ajst-2154	48	6	𝜀	𝜀	PROPN
ajst-2154	48	7	,	,	PUNCT
ajst-2154	48	8	𝑖	𝑖	NOUN
ajst-2154	48	9	1,2	1,2	NUM
ajst-2154	48	10	,	,	PUNCT
ajst-2154	48	11	…	…	PUNCT
ajst-2154	48	12	𝑛	𝑛	X
ajst-2154	48	13	(	(	PUNCT
ajst-2154	48	14	1	1	NUM
ajst-2154	48	15	)	)	PUNCT
ajst-2154	48	16	in	in	ADP
ajst-2154	48	17	equation	equation	NOUN
ajst-2154	48	18	1	1	NUM
ajst-2154	48	19	,	,	PUNCT
ajst-2154	48	20	b	b	PROPN
ajst-2154	48	21	𝑏	𝑏	PROPN
ajst-2154	48	22	,	,	PUNCT
ajst-2154	48	23	𝑏	𝑏	PROPN
ajst-2154	48	24	,	,	PUNCT
ajst-2154	48	25	…	…	PUNCT
ajst-2154	48	26	𝑏	𝑏	PROPN
ajst-2154	48	27	refers	refer	VERB
ajst-2154	48	28	to	to	ADP
ajst-2154	48	29	the	the	DET
ajst-2154	48	30	echo	echo	NOUN
ajst-2154	48	31	signal	signal	NOUN
ajst-2154	48	32	collected	collect	VERB
ajst-2154	48	33	by	by	ADP
ajst-2154	48	34	the	the	DET
ajst-2154	48	35	measurement	measurement	NOUN
ajst-2154	48	36	,	,	PUNCT
ajst-2154	48	37	n	n	X
ajst-2154	48	38	is	be	AUX
ajst-2154	48	39	the	the	DET
ajst-2154	48	40	number	number	NOUN
ajst-2154	48	41	of	of	ADP
ajst-2154	48	42	echoes	echo	NOUN
ajst-2154	48	43	collected	collect	VERB
ajst-2154	48	44	in	in	ADP
ajst-2154	48	45	the	the	DET
ajst-2154	48	46	actual	actual	ADJ
ajst-2154	48	47	logging	logging	NOUN
ajst-2154	48	48	.	.	PUNCT
ajst-2154	49	1	x	x	PUNCT
ajst-2154	49	2	𝑥	𝑥	INTJ
ajst-2154	49	3	,	,	PUNCT
ajst-2154	49	4	𝑥	𝑥	X
ajst-2154	49	5	,	,	PUNCT
ajst-2154	49	6	…	…	PUNCT
ajst-2154	49	7	𝑥	𝑥	PRON
ajst-2154	49	8	is	be	AUX
ajst-2154	49	9	the	the	DET
ajst-2154	49	10	contribution	contribution	NOUN
ajst-2154	49	11	of	of	ADP
ajst-2154	49	12	different	different	ADJ
ajst-2154	49	13	fluid	fluid	ADJ
ajst-2154	49	14	components	component	NOUN
ajst-2154	49	15	to	to	ADP
ajst-2154	49	16	the	the	DET
ajst-2154	49	17	echo	echo	NOUN
ajst-2154	49	18	signal	signal	NOUN
ajst-2154	49	19	,	,	PUNCT
ajst-2154	49	20	that	that	ADV
ajst-2154	49	21	is	is	ADV
ajst-2154	49	22	,	,	PUNCT
ajst-2154	49	23	the	the	DET
ajst-2154	49	24	relaxation	relaxation	NOUN
ajst-2154	49	25	spectrum	spectrum	NOUN
ajst-2154	49	26	amplitude	amplitude	NOUN
ajst-2154	49	27	of	of	ADP
ajst-2154	49	28	different	different	ADJ
ajst-2154	49	29	fluid	fluid	ADJ
ajst-2154	49	30	components	component	NOUN
ajst-2154	49	31	to	to	PART
ajst-2154	49	32	be	be	AUX
ajst-2154	49	33	calculated	calculate	VERB
ajst-2154	49	34	by	by	ADP
ajst-2154	49	35	inversion	inversion	NOUN
ajst-2154	49	36	,	,	PUNCT
ajst-2154	49	37	and	and	CCONJ
ajst-2154	49	38	m	m	NOUN
ajst-2154	49	39	is	be	AUX
ajst-2154	49	40	the	the	DET
ajst-2154	49	41	number	number	NOUN
ajst-2154	49	42	of	of	ADP
ajst-2154	49	43	relaxation	relaxation	NOUN
ajst-2154	49	44	components	component	NOUN
ajst-2154	49	45	.	.	PUNCT
ajst-2154	50	1	𝑡	𝑡	PROPN
ajst-2154	50	2	𝑖.	𝑖.	ADV
ajst-2154	50	3	𝜏	𝜏	X
ajst-2154	50	4	,	,	PUNCT
ajst-2154	50	5	τ	τ	PROPN
ajst-2154	50	6	is	be	AUX
ajst-2154	50	7	the	the	DET
ajst-2154	50	8	echo	echo	NOUN
ajst-2154	50	9	interval	interval	NOUN
ajst-2154	50	10	;	;	PUNCT
ajst-2154	50	11	t_2j	t_2j	NUM
ajst-2154	50	12	is	be	AUX
ajst-2154	50	13	the	the	DET
ajst-2154	50	14	relaxation	relaxation	NOUN
ajst-2154	50	15	time	time	NOUN
ajst-2154	50	16	for	for	ADP
ajst-2154	50	17	the	the	DET
ajst-2154	50	18	jth	jth	PROPN
ajst-2154	50	19	relaxation	relaxation	NOUN
ajst-2154	50	20	component	component	NOUN
ajst-2154	50	21	;	;	PUNCT
ajst-2154	50	22	𝜀	𝜀	PRON
ajst-2154	50	23	is	be	AUX
ajst-2154	50	24	the	the	DET
ajst-2154	50	25	noise	noise	NOUN
ajst-2154	50	26	signal	signal	NOUN
ajst-2154	50	27	amplitude	amplitude	NOUN
ajst-2154	50	28	of	of	ADP
ajst-2154	50	29	the	the	DET
ajst-2154	50	30	ith	ith	PROPN
ajst-2154	50	31	echo	echo	PROPN
ajst-2154	50	32	string	string	PROPN
ajst-2154	50	33	.	.	PUNCT
ajst-2154	51	1	thus	thus	ADV
ajst-2154	51	2	can	can	AUX
ajst-2154	51	3	analyze	analyze	VERB
ajst-2154	51	4	the	the	DET
ajst-2154	51	5	vector	vector	NOUN
ajst-2154	51	6	form	form	NOUN
ajst-2154	51	7	of	of	ADP
ajst-2154	51	8	the	the	DET
ajst-2154	51	9	discrete	discrete	ADJ
ajst-2154	51	10	model	model	NOUN
ajst-2154	51	11	is	be	AUX
ajst-2154	51	12	a	a	DET
ajst-2154	51	13	b	b	NOUN
ajst-2154	51	14	=	=	NOUN
ajst-2154	51	15	ax	ax	NOUN
ajst-2154	51	16	+	+	CCONJ
ajst-2154	51	17	epsilon	epsilon	PROPN
ajst-2154	51	18	,	,	PUNCT
ajst-2154	51	19	in	in	ADP
ajst-2154	51	20	which	which	PRON
ajst-2154	51	21	a	a	DET
ajst-2154	51	22	𝑒	𝑒	NOUN
ajst-2154	51	23	,	,	PUNCT
ajst-2154	51	24	𝑖	𝑖	NOUN
ajst-2154	51	25	1,2	1,2	NUM
ajst-2154	51	26	,	,	PUNCT
ajst-2154	51	27	…	…	PUNCT
ajst-2154	51	28	,	,	PUNCT
ajst-2154	51	29	𝑛	𝑛	NOUN
ajst-2154	51	30	;	;	PUNCT
ajst-2154	51	31	𝑗	𝑗	PROPN
ajst-2154	51	32	1,2	1,2	NUM
ajst-2154	51	33	,	,	PUNCT
ajst-2154	51	34	…	…	PUNCT
ajst-2154	51	35	,	,	PUNCT
ajst-2154	51	36	𝑚.	𝑚.	ADJ
ajst-2154	51	37	equation	equation	NOUN
ajst-2154	51	38	2	2	NUM
ajst-2154	51	39	is	be	AUX
ajst-2154	51	40	the	the	DET
ajst-2154	51	41	fredholm	fredholm	ADJ
ajst-2154	51	42	integral	integral	ADJ
ajst-2154	51	43	equation	equation	NOUN
ajst-2154	51	44	of	of	ADP
ajst-2154	51	45	the	the	DET
ajst-2154	51	46	first	first	ADJ
ajst-2154	51	47	kind	kind	NOUN
ajst-2154	51	48	when	when	SCONJ
ajst-2154	51	49	the	the	DET
ajst-2154	51	50	echo	echo	NOUN
ajst-2154	51	51	signal	signal	NOUN
ajst-2154	51	52	and	and	CCONJ
ajst-2154	51	53	the	the	DET
ajst-2154	51	54	fluid	fluid	ADJ
ajst-2154	51	55	component	component	NOUN
ajst-2154	51	56	are	be	AUX
ajst-2154	51	57	regarded	regard	VERB
ajst-2154	51	58	as	as	ADP
ajst-2154	51	59	continuous	continuous	ADJ
ajst-2154	51	60	rather	rather	ADV
ajst-2154	51	61	than	than	ADP
ajst-2154	51	62	finite	finite	ADJ
ajst-2154	51	63	:	:	PUNCT
ajst-2154	51	64	𝑏	𝑏	PROPN
ajst-2154	51	65	𝐾	𝐾	PROPN
ajst-2154	51	66	𝑡	𝑡	PROPN
ajst-2154	51	67	,	,	PUNCT
ajst-2154	51	68	𝑇	𝑇	PROPN
ajst-2154	51	69	𝑥	𝑥	NOUN
ajst-2154	51	70	𝑇	𝑇	PROPN
ajst-2154	51	71	𝑑𝑇	𝑑𝑇	ADJ
ajst-2154	51	72	(	(	PUNCT
ajst-2154	51	73	2	2	NUM
ajst-2154	51	74	)	)	PUNCT
ajst-2154	51	75	where	where	SCONJ
ajst-2154	51	76	𝐾	𝐾	PROPN
ajst-2154	51	77	𝑡	𝑡	PROPN
ajst-2154	51	78	,	,	PUNCT
ajst-2154	51	79	𝑇	𝑇	PROPN
ajst-2154	51	80	𝑒	𝑒	PROPN
ajst-2154	51	81	is	be	AUX
ajst-2154	51	82	called	call	VERB
ajst-2154	51	83	the	the	DET
ajst-2154	51	84	integral	integral	ADJ
ajst-2154	51	85	kernel	kernel	NOUN
ajst-2154	51	86	.	.	PUNCT
ajst-2154	52	1	t	t	PROPN
ajst-2154	52	2	is	be	AUX
ajst-2154	52	3	the	the	DET
ajst-2154	52	4	transverse	transverse	ADJ
ajst-2154	52	5	relaxation	relaxation	NOUN
ajst-2154	52	6	time	time	NOUN
ajst-2154	52	7	.	.	PUNCT
ajst-2154	53	1	𝑥	𝑥	PROPN
ajst-2154	53	2	𝑇	𝑇	PROPN
ajst-2154	53	3	refers	refer	VERB
ajst-2154	53	4	to	to	ADP
ajst-2154	53	5	the	the	DET
ajst-2154	53	6	curve	curve	NOUN
ajst-2154	53	7	formed	form	VERB
ajst-2154	53	8	by	by	ADP
ajst-2154	53	9	the	the	DET
ajst-2154	53	10	transverse	transverse	NOUN
ajst-2154	53	11	relaxation	relaxation	NOUN
ajst-2154	53	12	times	time	NOUN
ajst-2154	53	13	of	of	ADP
ajst-2154	53	14	all	all	DET
ajst-2154	53	15	fluid	fluid	ADJ
ajst-2154	53	16	components	component	NOUN
ajst-2154	53	17	,	,	PUNCT
ajst-2154	53	18	that	that	ADV
ajst-2154	53	19	is	is	ADV
ajst-2154	53	20	,	,	PUNCT
ajst-2154	53	21	the	the	DET
ajst-2154	53	22	t2	t2	NOUN
ajst-2154	53	23	spectrum	spectrum	NOUN
ajst-2154	53	24	.	.	PUNCT
ajst-2154	54	1	you	you	PRON
ajst-2154	54	2	solve	solve	VERB
ajst-2154	54	3	integral	integral	ADJ
ajst-2154	54	4	equation	equation	NOUN
ajst-2154	54	5	2	2	NUM
ajst-2154	54	6	to	to	PART
ajst-2154	54	7	get	get	VERB
ajst-2154	54	8	𝑥	𝑥	DET
ajst-2154	54	9	𝑇	𝑇	PROPN
ajst-2154	54	10	,	,	PUNCT
ajst-2154	54	11	and	and	CCONJ
ajst-2154	54	12	that	that	PRON
ajst-2154	54	13	's	be	AUX
ajst-2154	54	14	actually	actually	ADV
ajst-2154	54	15	the	the	DET
ajst-2154	54	16	t2	t2	NOUN
ajst-2154	54	17	spectrum	spectrum	NOUN
ajst-2154	54	18	inversion	inversion	NOUN
ajst-2154	54	19	problem	problem	NOUN
ajst-2154	54	20	.	.	PUNCT
ajst-2154	55	1	discrete	discrete	ADJ
ajst-2154	55	2	solution	solution	NOUN
ajst-2154	55	3	of	of	ADP
ajst-2154	55	4	continuous	continuous	ADJ
ajst-2154	55	5	integral	integral	ADJ
ajst-2154	55	6	equation	equation	NOUN
ajst-2154	55	7	is	be	AUX
ajst-2154	55	8	usually	usually	ADV
ajst-2154	55	9	the	the	DET
ajst-2154	55	10	most	most	ADV
ajst-2154	55	11	common	common	ADJ
ajst-2154	55	12	method	method	NOUN
ajst-2154	55	13	to	to	PART
ajst-2154	55	14	solve	solve	VERB
ajst-2154	55	15	the	the	DET
ajst-2154	55	16	above	above	ADJ
ajst-2154	55	17	inversion	inversion	NOUN
ajst-2154	55	18	problems	problem	NOUN
ajst-2154	55	19	.	.	PUNCT
ajst-2154	56	1	the	the	DET
ajst-2154	56	2	discrete	discrete	ADJ
ajst-2154	56	3	acquisition	acquisition	NOUN
ajst-2154	56	4	of	of	ADP
ajst-2154	56	5	n	n	PRON
ajst-2154	56	6	echo	echo	NOUN
ajst-2154	56	7	signals	signal	NOUN
ajst-2154	56	8	is	be	AUX
ajst-2154	56	9	the	the	DET
ajst-2154	56	10	discretization	discretization	NOUN
ajst-2154	56	11	of	of	ADP
ajst-2154	56	12	the	the	DET
ajst-2154	56	13	echo	echo	NOUN
ajst-2154	56	14	signals	signal	NOUN
ajst-2154	56	15	.	.	PUNCT
ajst-2154	57	1	specifically	specifically	ADV
ajst-2154	57	2	,	,	PUNCT
ajst-2154	57	3	the	the	DET
ajst-2154	57	4	discretization	discretization	NOUN
ajst-2154	57	5	of	of	ADP
ajst-2154	57	6	𝑋	𝑋	PROPN
ajst-2154	57	7	𝑇	𝑇	PROPN
ajst-2154	57	8	requires	require	VERB
ajst-2154	57	9	the	the	DET
ajst-2154	57	10	determination	determination	NOUN
ajst-2154	57	11	of	of	ADP
ajst-2154	57	12	m	m	VERB
ajst-2154	57	13	discrete	discrete	ADJ
ajst-2154	57	14	points	point	NOUN
ajst-2154	57	15	on	on	ADP
ajst-2154	57	16	the	the	DET
ajst-2154	57	17	t2	t2	PROPN
ajst-2154	57	18	time	time	NOUN
ajst-2154	57	19	axis	axis	NOUN
ajst-2154	57	20	,	,	PUNCT
ajst-2154	57	21	which	which	PRON
ajst-2154	57	22	are	be	AUX
ajst-2154	57	23	the	the	DET
ajst-2154	57	24	scatter	scatter	NOUN
ajst-2154	57	25	points	point	NOUN
ajst-2154	57	26	.	.	PUNCT
ajst-2154	58	1	since	since	SCONJ
ajst-2154	58	2	most	most	ADJ
ajst-2154	58	3	of	of	ADP
ajst-2154	58	4	the	the	DET
ajst-2154	58	5	echo	echo	NOUN
ajst-2154	58	6	signals	signal	NOUN
ajst-2154	58	7	are	be	AUX
ajst-2154	58	8	in	in	ADP
ajst-2154	58	9	exponential	exponential	ADJ
ajst-2154	58	10	decay	decay	NOUN
ajst-2154	58	11	state	state	NOUN
ajst-2154	58	12	,	,	PUNCT
ajst-2154	58	13	the	the	DET
ajst-2154	58	14	distribution	distribution	NOUN
ajst-2154	58	15	of	of	ADP
ajst-2154	58	16	the	the	DET
ajst-2154	58	17	distribution	distribution	NOUN
ajst-2154	58	18	points	point	NOUN
ajst-2154	58	19	is	be	AUX
ajst-2154	58	20	generally	generally	ADV
ajst-2154	58	21	in	in	ADP
ajst-2154	58	22	the	the	DET
ajst-2154	58	23	form	form	NOUN
ajst-2154	58	24	of	of	ADP
ajst-2154	58	25	logarithmic	logarithmic	ADJ
ajst-2154	58	26	equal	equal	ADJ
ajst-2154	58	27	spacing	spacing	NOUN
ajst-2154	58	28	.	.	PUNCT
ajst-2154	59	1	in	in	ADP
ajst-2154	59	2	order	order	NOUN
ajst-2154	59	3	to	to	PART
ajst-2154	59	4	transform	transform	VERB
ajst-2154	59	5	the	the	DET
ajst-2154	59	6	complex	complex	ADJ
ajst-2154	59	7	integral	integral	ADJ
ajst-2154	59	8	equation	equation	NOUN
ajst-2154	59	9	into	into	ADP
ajst-2154	59	10	a	a	DET
ajst-2154	59	11	simple	simple	ADJ
ajst-2154	59	12	system	system	NOUN
ajst-2154	59	13	of	of	ADP
ajst-2154	59	14	linear	linear	PROPN
ajst-2154	59	15	equations	equation	NOUN
ajst-2154	59	16	𝐵	𝐵	PROPN
ajst-2154	59	17	𝐴𝑋	𝐴𝑋	PROPN
ajst-2154	59	18	𝜀	𝜀	PROPN
ajst-2154	59	19	,	,	PUNCT
ajst-2154	59	20	we	we	PRON
ajst-2154	59	21	only	only	ADV
ajst-2154	59	22	need	need	VERB
ajst-2154	59	23	to	to	PART
ajst-2154	59	24	discretize	discretize	VERB
ajst-2154	59	25	the	the	DET
ajst-2154	59	26	complex	complex	ADJ
ajst-2154	59	27	integral	integral	ADJ
ajst-2154	59	28	equation	equation	NOUN
ajst-2154	59	29	.	.	PUNCT
ajst-2154	60	1	based	base	VERB
ajst-2154	60	2	on	on	ADP
ajst-2154	60	3	the	the	DET
ajst-2154	60	4	discretization	discretization	NOUN
ajst-2154	60	5	of	of	ADP
ajst-2154	60	6	the	the	DET
ajst-2154	60	7	first	first	ADJ
ajst-2154	60	8	kind	kind	NOUN
ajst-2154	60	9	of	of	ADP
ajst-2154	60	10	fredholm	fredholm	ADJ
ajst-2154	60	11	integral	integral	ADJ
ajst-2154	60	12	equation	equation	NOUN
ajst-2154	60	13	,	,	PUNCT
ajst-2154	60	14	it	it	PRON
ajst-2154	60	15	is	be	AUX
ajst-2154	60	16	found	find	VERB
ajst-2154	60	17	that	that	SCONJ
ajst-2154	60	18	most	most	ADJ
ajst-2154	60	19	of	of	ADP
ajst-2154	60	20	the	the	DET
ajst-2154	60	21	linear	linear	ADJ
ajst-2154	60	22	equations	equation	NOUN
ajst-2154	60	23	generated	generate	VERB
ajst-2154	60	24	are	be	AUX
ajst-2154	60	25	ill	ill	ADV
ajst-2154	60	26	-	-	PUNCT
ajst-2154	60	27	conditioned	condition	VERB
ajst-2154	60	28	.	.	PUNCT
ajst-2154	61	1	specifically	specifically	ADV
ajst-2154	61	2	,	,	PUNCT
ajst-2154	61	3	it	it	PRON
ajst-2154	61	4	means	mean	VERB
ajst-2154	61	5	that	that	SCONJ
ajst-2154	61	6	the	the	DET
ajst-2154	61	7	solution	solution	NOUN
ajst-2154	61	8	of	of	ADP
ajst-2154	61	9	the	the	DET
ajst-2154	61	10	equation	equation	NOUN
ajst-2154	61	11	is	be	AUX
ajst-2154	61	12	more	more	ADV
ajst-2154	61	13	sensitive	sensitive	ADJ
ajst-2154	61	14	to	to	ADP
ajst-2154	61	15	the	the	DET
ajst-2154	61	16	input	input	NOUN
ajst-2154	61	17	,	,	PUNCT
ajst-2154	61	18	and	and	CCONJ
ajst-2154	61	19	a	a	DET
ajst-2154	61	20	slight	slight	ADJ
ajst-2154	61	21	adjustment	adjustment	NOUN
ajst-2154	61	22	of	of	ADP
ajst-2154	61	23	the	the	DET
ajst-2154	61	24	input	input	NOUN
ajst-2154	61	25	may	may	AUX
ajst-2154	61	26	result	result	VERB
ajst-2154	61	27	in	in	ADP
ajst-2154	61	28	a	a	DET
ajst-2154	61	29	big	big	ADJ
ajst-2154	61	30	difference	difference	NOUN
ajst-2154	61	31	.	.	PUNCT
ajst-2154	62	1	in	in	ADP
ajst-2154	62	2	the	the	DET
ajst-2154	62	3	vector	vector	NOUN
ajst-2154	62	4	form	form	NOUN
ajst-2154	62	5	𝐵	𝐵	PROPN
ajst-2154	62	6	𝐴𝑋	𝐴𝑋	PROPN
ajst-2154	62	7	𝜀	𝜀	NOUN
ajst-2154	62	8	of	of	ADP
ajst-2154	62	9	the	the	DET
ajst-2154	62	10	discrete	discrete	ADJ
ajst-2154	62	11	model	model	NOUN
ajst-2154	62	12	of	of	ADP
ajst-2154	62	13	the	the	DET
ajst-2154	62	14	first	first	ADJ
ajst-2154	62	15	kind	kind	NOUN
ajst-2154	62	16	of	of	ADP
ajst-2154	62	17	fredholm	fredholm	ADJ
ajst-2154	62	18	integral	integral	ADJ
ajst-2154	62	19	equation	equation	NOUN
ajst-2154	62	20	,	,	PUNCT
ajst-2154	62	21	there	there	PRON
ajst-2154	62	22	is	be	VERB
ajst-2154	62	23	a	a	DET
ajst-2154	62	24	noisy	noisy	ADJ
ajst-2154	62	25	signal	signal	NOUN
ajst-2154	62	26	ε	ε	PROPN
ajst-2154	62	27	,	,	PUNCT
ajst-2154	62	28	so	so	SCONJ
ajst-2154	62	29	that	that	SCONJ
ajst-2154	62	30	the	the	DET
ajst-2154	62	31	solutionx	solutionx	NOUN
ajst-2154	62	32	𝐴	𝐴	PROPN
ajst-2154	62	33	𝐵	𝐵	PROPN
ajst-2154	62	34	of	of	ADP
ajst-2154	62	35	the	the	DET
ajst-2154	62	36	system	system	NOUN
ajst-2154	62	37	of	of	ADP
ajst-2154	62	38	equations	equation	NOUN
ajst-2154	62	39	will	will	AUX
ajst-2154	62	40	fluctuate	fluctuate	VERB
ajst-2154	62	41	to	to	ADP
ajst-2154	62	42	some	some	DET
ajst-2154	62	43	extent	extent	NOUN
ajst-2154	62	44	.	.	PUNCT
ajst-2154	63	1	in	in	ADP
ajst-2154	63	2	the	the	DET
ajst-2154	63	3	practical	practical	ADJ
ajst-2154	63	4	application	application	NOUN
ajst-2154	63	5	process	process	NOUN
ajst-2154	63	6	,	,	PUNCT
ajst-2154	63	7	because	because	SCONJ
ajst-2154	63	8	of	of	ADP
ajst-2154	63	9	the	the	DET
ajst-2154	63	10	low	low	ADJ
ajst-2154	63	11	snr	snr	PROPN
ajst-2154	63	12	obtained	obtain	VERB
ajst-2154	63	13	,	,	PUNCT
ajst-2154	63	14	it	it	PRON
ajst-2154	63	15	is	be	AUX
ajst-2154	63	16	not	not	PART
ajst-2154	63	17	obvious	obvious	ADJ
ajst-2154	63	18	to	to	PART
ajst-2154	63	19	solve	solve	VERB
ajst-2154	63	20	𝐵	𝐵	NOUN
ajst-2154	63	21	𝐴𝑋	𝐴𝑋	PROPN
ajst-2154	63	22	directly	directly	ADV
ajst-2154	63	23	.	.	PUNCT
ajst-2154	64	1	the	the	DET
ajst-2154	64	2	most	most	ADV
ajst-2154	64	3	widely	widely	ADV
ajst-2154	64	4	used	use	VERB
ajst-2154	64	5	methods	method	NOUN
ajst-2154	64	6	are	be	AUX
ajst-2154	64	7	singular	singular	ADJ
ajst-2154	64	8	value	value	NOUN
ajst-2154	64	9	decomposition	decomposition	NOUN
ajst-2154	64	10	method	method	NOUN
ajst-2154	64	11	and	and	CCONJ
ajst-2154	64	12	non	non	ADJ
ajst-2154	64	13	-	-	ADJ
ajst-2154	64	14	negative	negative	ADJ
ajst-2154	64	15	least	least	ADJ
ajst-2154	64	16	square	square	ADJ
ajst-2154	64	17	method	method	NOUN
ajst-2154	64	18	.	.	PUNCT
ajst-2154	65	1	however	however	ADV
ajst-2154	65	2	,	,	PUNCT
ajst-2154	65	3	most	most	ADJ
ajst-2154	65	4	of	of	ADP
ajst-2154	65	5	the	the	DET
ajst-2154	65	6	above	above	ADJ
ajst-2154	65	7	methods	method	NOUN
ajst-2154	65	8	have	have	VERB
ajst-2154	65	9	some	some	DET
ajst-2154	65	10	limitations	limitation	NOUN
ajst-2154	65	11	,	,	PUNCT
ajst-2154	65	12	including	include	VERB
ajst-2154	65	13	high	high	ADJ
ajst-2154	65	14	snr	snr	NOUN
ajst-2154	65	15	requirements	requirement	NOUN
ajst-2154	65	16	,	,	PUNCT
ajst-2154	65	17	slow	slow	ADJ
ajst-2154	65	18	computing	computing	NOUN
ajst-2154	65	19	speed	speed	NOUN
ajst-2154	65	20	,	,	PUNCT
ajst-2154	65	21	and	and	CCONJ
ajst-2154	65	22	spectral	spectral	ADJ
ajst-2154	65	23	line	line	NOUN
ajst-2154	65	24	discontinuity	discontinuity	NOUN
ajst-2154	65	25	.	.	PUNCT
ajst-2154	66	1	4	4	X
ajst-2154	66	2	.	.	X
ajst-2154	66	3	inversion	inversion	NOUN
ajst-2154	66	4	of	of	ADP
ajst-2154	66	5	t2	t2	NOUN
ajst-2154	66	6	spectrum	spectrum	NOUN
ajst-2154	66	7	based	base	VERB
ajst-2154	66	8	on	on	ADP
ajst-2154	66	9	singular	singular	ADJ
ajst-2154	66	10	value	value	NOUN
ajst-2154	66	11	decomposition	decomposition	NOUN
ajst-2154	66	12	4.1	4.1	NUM
ajst-2154	66	13	.	.	PUNCT
ajst-2154	66	14	basic	basic	ADJ
ajst-2154	66	15	principle	principle	NOUN
ajst-2154	66	16	of	of	ADP
ajst-2154	66	17	t2	t2	NOUN
ajst-2154	66	18	spectrum	spectrum	NOUN
ajst-2154	66	19	inversion	inversion	NOUN
ajst-2154	66	20	the	the	DET
ajst-2154	66	21	inversion	inversion	NOUN
ajst-2154	66	22	process	process	NOUN
ajst-2154	66	23	of	of	ADP
ajst-2154	66	24	t2	t2	NOUN
ajst-2154	66	25	spectrum	spectrum	NOUN
ajst-2154	66	26	actually	actually	ADV
ajst-2154	66	27	refers	refer	VERB
ajst-2154	66	28	to	to	ADP
ajst-2154	66	29	the	the	DET
ajst-2154	66	30	127	127	NUM
ajst-2154	66	31	process	process	NOUN
ajst-2154	66	32	of	of	ADP
ajst-2154	66	33	solving	solve	VERB
ajst-2154	66	34	the	the	DET
ajst-2154	66	35	system	system	NOUN
ajst-2154	66	36	𝐵	𝐵	PROPN
ajst-2154	66	37	𝐴𝑋	𝐴𝑋	PROPN
ajst-2154	66	38	𝜀	𝜀	NOUN
ajst-2154	66	39	.	.	PUNCT
ajst-2154	67	1	since	since	SCONJ
ajst-2154	67	2	𝑛𝑘	𝑛𝑘	PROPN
ajst-2154	67	3	𝐴	𝐴	PROPN
ajst-2154	67	4	,	,	PUNCT
ajst-2154	67	5	𝐵	𝐵	PROPN
ajst-2154	67	6	𝑟𝑎𝑛𝑘	𝑟𝑎𝑛𝑘	NOUN
ajst-2154	67	7	𝐴	𝐴	PROPN
ajst-2154	67	8	,	,	PUNCT
ajst-2154	67	9	the	the	DET
ajst-2154	67	10	system	system	NOUN
ajst-2154	67	11	𝐵	𝐵	PROPN
ajst-2154	67	12	𝐴𝑋	𝐴𝑋	PROPN
ajst-2154	67	13	𝜀	𝜀	PROPN
ajst-2154	67	14	is	be	AUX
ajst-2154	67	15	incompatible	incompatible	ADJ
ajst-2154	67	16	.	.	PUNCT
ajst-2154	68	1	for	for	ADP
ajst-2154	68	2	the	the	DET
ajst-2154	68	3	incompatible	incompatible	ADJ
ajst-2154	68	4	system	system	NOUN
ajst-2154	68	5	of	of	ADP
ajst-2154	68	6	equations	equation	NOUN
ajst-2154	68	7	,	,	PUNCT
ajst-2154	68	8	we	we	PRON
ajst-2154	68	9	want	want	VERB
ajst-2154	68	10	to	to	PART
ajst-2154	68	11	obtain	obtain	VERB
ajst-2154	68	12	the	the	DET
ajst-2154	68	13	approximate	approximate	ADJ
ajst-2154	68	14	solution	solution	NOUN
ajst-2154	68	15	of	of	ADP
ajst-2154	68	16	the	the	DET
ajst-2154	68	17	system	system	NOUN
ajst-2154	68	18	of	of	ADP
ajst-2154	68	19	equations	equation	NOUN
ajst-2154	68	20	-least	-least	NOUN
ajst-2154	68	21	squares	square	NOUN
ajst-2154	68	22	solution	solution	NOUN
ajst-2154	68	23	.	.	PUNCT
ajst-2154	69	1	generally	generally	ADV
ajst-2154	69	2	speaking	speak	VERB
ajst-2154	69	3	,	,	PUNCT
ajst-2154	69	4	the	the	DET
ajst-2154	69	5	solution	solution	NOUN
ajst-2154	69	6	of	of	ADP
ajst-2154	69	7	the	the	DET
ajst-2154	69	8	system	system	NOUN
ajst-2154	69	9	of	of	ADP
ajst-2154	69	10	equations	equation	NOUN
ajst-2154	69	11	is	be	AUX
ajst-2154	69	12	not	not	PART
ajst-2154	69	13	unique	unique	ADJ
ajst-2154	69	14	.	.	PUNCT
ajst-2154	70	1	in	in	ADP
ajst-2154	70	2	engineering	engineering	NOUN
ajst-2154	70	3	,	,	PUNCT
ajst-2154	70	4	we	we	PRON
ajst-2154	70	5	want	want	VERB
ajst-2154	70	6	to	to	PART
ajst-2154	70	7	obtain	obtain	VERB
ajst-2154	70	8	the	the	DET
ajst-2154	70	9	best	good	ADJ
ajst-2154	70	10	least	least	ADJ
ajst-2154	70	11	squares	square	NOUN
ajst-2154	70	12	solution	solution	NOUN
ajst-2154	70	13	,	,	PUNCT
ajst-2154	70	14	that	that	ADV
ajst-2154	70	15	is	is	ADV
ajst-2154	70	16	,	,	PUNCT
ajst-2154	70	17	the	the	DET
ajst-2154	70	18	least	least	ADV
ajst-2154	70	19	modular	modular	ADJ
ajst-2154	70	20	solution	solution	NOUN
ajst-2154	70	21	of	of	ADP
ajst-2154	70	22	the	the	DET
ajst-2154	70	23	general	general	ADJ
ajst-2154	70	24	solution	solution	NOUN
ajst-2154	70	25	.	.	PUNCT
ajst-2154	71	1	4.2	4.2	NUM
ajst-2154	71	2	.	.	PUNCT
ajst-2154	71	3	principle	principle	NOUN
ajst-2154	71	4	of	of	ADP
ajst-2154	71	5	singular	singular	ADJ
ajst-2154	71	6	value	value	NOUN
ajst-2154	71	7	decomposition	decomposition	NOUN
ajst-2154	71	8	gaussian	gaussian	ADJ
ajst-2154	71	9	iteration	iteration	NOUN
ajst-2154	71	10	and	and	CCONJ
ajst-2154	71	11	lu	lu	NOUN
ajst-2154	71	12	decomposition	decomposition	NOUN
ajst-2154	71	13	methods	method	NOUN
ajst-2154	71	14	are	be	AUX
ajst-2154	71	15	often	often	ADV
ajst-2154	71	16	used	use	VERB
ajst-2154	71	17	to	to	PART
ajst-2154	71	18	deal	deal	VERB
ajst-2154	71	19	with	with	ADP
ajst-2154	71	20	ill	ill	ADV
ajst-2154	71	21	-	-	PUNCT
ajst-2154	71	22	conditioned	condition	VERB
ajst-2154	71	23	or	or	CCONJ
ajst-2154	71	24	nearly	nearly	ADV
ajst-2154	71	25	illconditioned	illconditione	VERB
ajst-2154	71	26	values	value	NOUN
ajst-2154	71	27	,	,	PUNCT
ajst-2154	71	28	but	but	CCONJ
ajst-2154	71	29	in	in	ADP
ajst-2154	71	30	many	many	ADJ
ajst-2154	71	31	cases	case	NOUN
ajst-2154	71	32	,	,	PUNCT
ajst-2154	71	33	these	these	DET
ajst-2154	71	34	methods	method	NOUN
ajst-2154	71	35	have	have	VERB
ajst-2154	71	36	many	many	ADJ
ajst-2154	71	37	shortcomings	shortcoming	NOUN
ajst-2154	71	38	and	and	CCONJ
ajst-2154	71	39	are	be	AUX
ajst-2154	71	40	difficult	difficult	ADJ
ajst-2154	71	41	to	to	PART
ajst-2154	71	42	give	give	VERB
ajst-2154	71	43	satisfactory	satisfactory	ADJ
ajst-2154	71	44	solutions	solution	NOUN
ajst-2154	71	45	.	.	PUNCT
ajst-2154	72	1	the	the	DET
ajst-2154	72	2	singular	singular	ADJ
ajst-2154	72	3	value	value	NOUN
ajst-2154	72	4	decomposition	decomposition	NOUN
ajst-2154	72	5	(	(	PUNCT
ajst-2154	72	6	svd	svd	PROPN
ajst-2154	72	7	)	)	PUNCT
ajst-2154	72	8	method	method	NOUN
ajst-2154	72	9	can	can	AUX
ajst-2154	72	10	effectively	effectively	ADV
ajst-2154	72	11	make	make	VERB
ajst-2154	72	12	up	up	ADP
ajst-2154	72	13	for	for	ADP
ajst-2154	72	14	the	the	DET
ajst-2154	72	15	shortcomings	shortcoming	NOUN
ajst-2154	72	16	of	of	ADP
ajst-2154	72	17	lu	lu	NOUN
ajst-2154	72	18	decomposition	decomposition	NOUN
ajst-2154	72	19	method	method	NOUN
ajst-2154	72	20	,	,	PUNCT
ajst-2154	72	21	and	and	CCONJ
ajst-2154	72	22	is	be	AUX
ajst-2154	72	23	a	a	DET
ajst-2154	72	24	more	more	ADV
ajst-2154	72	25	scientific	scientific	ADJ
ajst-2154	72	26	and	and	CCONJ
ajst-2154	72	27	effective	effective	ADJ
ajst-2154	72	28	solution	solution	NOUN
ajst-2154	72	29	.	.	PUNCT
ajst-2154	73	1	singular	singular	PROPN
ajst-2154	73	2	value	value	NOUN
ajst-2154	73	3	decomposition	decomposition	NOUN
ajst-2154	73	4	theory	theory	NOUN
ajst-2154	73	5	is	be	AUX
ajst-2154	73	6	based	base	VERB
ajst-2154	73	7	on	on	ADP
ajst-2154	73	8	the	the	DET
ajst-2154	73	9	following	follow	VERB
ajst-2154	73	10	linear	linear	PROPN
ajst-2154	73	11	algebra	algebra	PROPN
ajst-2154	73	12	theory	theory	NOUN
ajst-2154	73	13	,	,	PUNCT
ajst-2154	73	14	a	a	DET
ajst-2154	73	15	m	m	NOUN
ajst-2154	73	16	n	n	PRON
ajst-2154	73	17	represents	represent	VERB
ajst-2154	73	18	m	m	PROPN
ajst-2154	73	19	row	row	NOUN
ajst-2154	73	20	n	n	DET
ajst-2154	73	21	column	column	NOUN
ajst-2154	73	22	matrix	matrix	NOUN
ajst-2154	73	23	,	,	PUNCT
ajst-2154	73	24	equivalent	equivalent	ADJ
ajst-2154	73	25	to	to	PART
ajst-2154	73	26	matrix	matrix	VERB
ajst-2154	73	27	uw𝑉	uw𝑉	ADJ
ajst-2154	73	28	multiplication	multiplication	NOUN
ajst-2154	73	29	form	form	NOUN
ajst-2154	73	30	,	,	PUNCT
ajst-2154	73	31	u	u	NOUN
ajst-2154	73	32	is	be	AUX
ajst-2154	73	33	m*n	m*n	PROPN
ajst-2154	73	34	column	column	NOUN
ajst-2154	73	35	orthogonal	orthogonal	ADJ
ajst-2154	73	36	matrix	matrix	NOUN
ajst-2154	73	37	,	,	PUNCT
ajst-2154	73	38	w	w	NOUN
ajst-2154	73	39	is	be	AUX
ajst-2154	73	40	diagonal	diagonal	ADJ
ajst-2154	73	41	element	element	NOUN
ajst-2154	73	42	positive	positive	ADJ
ajst-2154	73	43	or	or	CCONJ
ajst-2154	73	44	zero	zero	NUM
ajst-2154	73	45	diagonal	diagonal	ADJ
ajst-2154	73	46	matrix	matrix	NOUN
ajst-2154	73	47	,	,	PUNCT
ajst-2154	73	48	𝑉	𝑉	PROPN
ajst-2154	73	49	is	be	AUX
ajst-2154	73	50	n	n	PRON
ajst-2154	73	51	*	*	ADJ
ajst-2154	73	52	n	n	PRON
ajst-2154	73	53	column	column	NOUN
ajst-2154	73	54	orthogonal	orthogonal	ADJ
ajst-2154	73	55	matrix	matrix	NOUN
ajst-2154	73	56	v	v	ADP
ajst-2154	73	57	transpose	transpose	NOUN
ajst-2154	73	58	.	.	PUNCT
ajst-2154	74	1	calculate	calculate	VERB
ajst-2154	74	2	the	the	DET
ajst-2154	74	3	generalized	generalized	ADJ
ajst-2154	74	4	inverse	inverse	NOUN
ajst-2154	74	5	matrix	matrix	NOUN
ajst-2154	74	6	from	from	ADP
ajst-2154	74	7	the	the	DET
ajst-2154	74	8	m*n	m*n	PROPN
ajst-2154	74	9	matrix	matrix	NOUN
ajst-2154	74	10	,	,	PUNCT
ajst-2154	74	11	u	u	NOUN
ajst-2154	74	12	and	and	CCONJ
ajst-2154	74	13	v	v	NOUN
ajst-2154	74	14	are	be	AUX
ajst-2154	74	15	column	column	NOUN
ajst-2154	74	16	orthogonal	orthogonal	NOUN
ajst-2154	74	17	,	,	PUNCT
ajst-2154	74	18	the	the	DET
ajst-2154	74	19	inverse	inverse	NOUN
ajst-2154	74	20	matrix	matrix	NOUN
ajst-2154	74	21	is	be	AUX
ajst-2154	74	22	equal	equal	ADJ
ajst-2154	74	23	to	to	ADP
ajst-2154	74	24	their	their	PRON
ajst-2154	74	25	transpose	transpose	NOUN
ajst-2154	74	26	;	;	PUNCT
ajst-2154	74	27	w	w	NOUN
ajst-2154	74	28	is	be	AUX
ajst-2154	74	29	a	a	DET
ajst-2154	74	30	diagonal	diagonal	ADJ
ajst-2154	74	31	matrix	matrix	NOUN
ajst-2154	74	32	,	,	PUNCT
ajst-2154	74	33	and	and	CCONJ
ajst-2154	74	34	the	the	DET
ajst-2154	74	35	inverse	inverse	NOUN
ajst-2154	74	36	matrix	matrix	NOUN
ajst-2154	74	37	is	be	AUX
ajst-2154	74	38	the	the	DET
ajst-2154	74	39	inverse	inverse	NOUN
ajst-2154	74	40	of	of	ADP
ajst-2154	74	41	diagonal	diagonal	ADJ
ajst-2154	74	42	elements	element	NOUN
ajst-2154	74	43	,	,	PUNCT
ajst-2154	74	44	which	which	PRON
ajst-2154	74	45	can	can	AUX
ajst-2154	74	46	be	be	AUX
ajst-2154	74	47	written	write	VERB
ajst-2154	74	48	as	as	ADP
ajst-2154	74	49	equation	equation	NOUN
ajst-2154	74	50	3	3	NUM
ajst-2154	74	51	:	:	PUNCT
ajst-2154	74	52	𝐴	𝐴	PROPN
ajst-2154	74	53	𝑉.	𝑉.	PROPN
ajst-2154	74	54	𝑑𝑖𝑎𝑔	𝑑𝑖𝑎𝑔	NOUN
ajst-2154	74	55	1/𝑤	1/𝑤	NUM
ajst-2154	74	56	.	.	PUNCT
ajst-2154	75	1	𝑈	𝑈	NOUN
ajst-2154	75	2	(	(	PUNCT
ajst-2154	75	3	3	3	NUM
ajst-2154	75	4	)	)	PUNCT
ajst-2154	75	5	if	if	SCONJ
ajst-2154	75	6	one	one	NUM
ajst-2154	75	7	or	or	CCONJ
ajst-2154	75	8	more	more	ADJ
ajst-2154	75	9	ω	ω	NUM
ajst-2154	75	10	zero	zero	NUM
ajst-2154	75	11	or	or	CCONJ
ajst-2154	75	12	numerical	numerical	ADJ
ajst-2154	75	13	value	value	NOUN
ajst-2154	75	14	is	be	AUX
ajst-2154	75	15	too	too	ADV
ajst-2154	75	16	small	small	ADJ
ajst-2154	75	17	,	,	PUNCT
ajst-2154	75	18	formula	formula	NOUN
ajst-2154	75	19	3	3	NUM
ajst-2154	75	20	mistakes	mistake	NOUN
ajst-2154	75	21	will	will	AUX
ajst-2154	75	22	happen	happen	VERB
ajst-2154	75	23	,	,	PUNCT
ajst-2154	75	24	in	in	ADP
ajst-2154	75	25	the	the	DET
ajst-2154	75	26	computer	computer	NOUN
ajst-2154	75	27	rounding	round	VERB
ajst-2154	75	28	errors	error	NOUN
ajst-2154	75	29	or	or	CCONJ
ajst-2154	75	30	numerical	numerical	ADJ
ajst-2154	75	31	recognition	recognition	NOUN
ajst-2154	75	32	difficulty	difficulty	NOUN
ajst-2154	75	33	formula	formula	NOUN
ajst-2154	75	34	3	3	NUM
ajst-2154	75	35	will	will	AUX
ajst-2154	75	36	be	be	AUX
ajst-2154	75	37	an	an	DET
ajst-2154	75	38	error	error	NOUN
ajst-2154	75	39	occurs	occur	VERB
ajst-2154	75	40	,	,	PUNCT
ajst-2154	75	41	when	when	SCONJ
ajst-2154	75	42	the	the	DET
ajst-2154	75	43	formula	formula	NOUN
ajst-2154	75	44	of	of	ADP
ajst-2154	75	45	zero	zero	NUM
ajst-2154	75	46	increase	increase	NOUN
ajst-2154	75	47	matrix	matrix	NOUN
ajst-2154	75	48	is	be	AUX
ajst-2154	75	49	singular	singular	ADJ
ajst-2154	75	50	,	,	PUNCT
ajst-2154	75	51	the	the	DET
ajst-2154	75	52	matrix	matrix	NOUN
ajst-2154	75	53	is	be	AUX
ajst-2154	75	54	called	call	VERB
ajst-2154	75	55	a	a	DET
ajst-2154	75	56	singular	singular	ADJ
ajst-2154	75	57	matrix	matrix	NOUN
ajst-2154	75	58	,	,	PUNCT
ajst-2154	75	59	with	with	SCONJ
ajst-2154	75	60	the	the	DET
ajst-2154	75	61	singular	singular	ADJ
ajst-2154	75	62	value	value	NOUN
ajst-2154	75	63	of	of	ADP
ajst-2154	75	64	the	the	DET
ajst-2154	75	65	maximum	maximum	NOUN
ajst-2154	75	66	and	and	CCONJ
ajst-2154	75	67	the	the	DET
ajst-2154	75	68	minimum	minimum	ADJ
ajst-2154	75	69	ratio	ratio	NOUN
ajst-2154	75	70	increases	increase	NOUN
ajst-2154	75	71	,	,	PUNCT
ajst-2154	75	72	matrix	matrix	NOUN
ajst-2154	75	73	is	be	AUX
ajst-2154	75	74	singular	singular	ADJ
ajst-2154	75	75	,	,	PUNCT
ajst-2154	75	76	if	if	SCONJ
ajst-2154	75	77	the	the	DET
ajst-2154	75	78	value	value	NOUN
ajst-2154	75	79	is	be	AUX
ajst-2154	75	80	too	too	ADV
ajst-2154	75	81	large	large	ADJ
ajst-2154	75	82	for	for	SCONJ
ajst-2154	75	83	the	the	DET
ajst-2154	75	84	computer	computer	NOUN
ajst-2154	75	85	to	to	PART
ajst-2154	75	86	compute	compute	VERB
ajst-2154	75	87	,	,	PUNCT
ajst-2154	75	88	it	it	PRON
ajst-2154	75	89	is	be	AUX
ajst-2154	75	90	called	call	VERB
ajst-2154	75	91	ill	ill	ADV
ajst-2154	75	92	-	-	PUNCT
ajst-2154	75	93	conditioned	condition	VERB
ajst-2154	75	94	matrix	matrix	NOUN
ajst-2154	75	95	.	.	PUNCT
ajst-2154	76	1	the	the	DET
ajst-2154	76	2	value	value	NOUN
ajst-2154	76	3	domain	domain	NOUN
ajst-2154	76	4	of	of	ADP
ajst-2154	76	5	the	the	DET
ajst-2154	76	6	null	null	ADJ
ajst-2154	76	7	space	space	NOUN
ajst-2154	76	8	of	of	ADP
ajst-2154	76	9	singular	singular	ADJ
ajst-2154	76	10	matrix	matrix	NOUN
ajst-2154	76	11	has	have	VERB
ajst-2154	76	12	great	great	ADJ
ajst-2154	76	13	influence	influence	NOUN
ajst-2154	76	14	on	on	ADP
ajst-2154	76	15	the	the	DET
ajst-2154	76	16	matrix	matrix	NOUN
ajst-2154	76	17	.	.	PUNCT
ajst-2154	77	1	the	the	DET
ajst-2154	77	2	biggest	big	ADJ
ajst-2154	77	3	advantage	advantage	NOUN
ajst-2154	77	4	of	of	ADP
ajst-2154	77	5	singular	singular	ADJ
ajst-2154	77	6	value	value	NOUN
ajst-2154	77	7	decomposition	decomposition	NOUN
ajst-2154	77	8	method	method	NOUN
ajst-2154	77	9	is	be	AUX
ajst-2154	77	10	that	that	SCONJ
ajst-2154	77	11	it	it	PRON
ajst-2154	77	12	can	can	AUX
ajst-2154	77	13	accurately	accurately	ADV
ajst-2154	77	14	determine	determine	VERB
ajst-2154	77	15	the	the	DET
ajst-2154	77	16	value	value	NOUN
ajst-2154	77	17	domain	domain	NOUN
ajst-2154	77	18	and	and	CCONJ
ajst-2154	77	19	null	null	ADJ
ajst-2154	77	20	space	space	NOUN
ajst-2154	77	21	of	of	ADP
ajst-2154	77	22	matrix	matrix	NOUN
ajst-2154	77	23	.	.	PUNCT
ajst-2154	78	1	for	for	ADP
ajst-2154	78	2	example	example	NOUN
ajst-2154	78	3	,	,	PUNCT
ajst-2154	78	4	the	the	DET
ajst-2154	78	5	matrix	matrix	NOUN
ajst-2154	78	6	a	a	PRON
ajst-2154	78	7	is	be	AUX
ajst-2154	78	8	a	a	DET
ajst-2154	78	9	linear	linear	ADJ
ajst-2154	78	10	mapping	mapping	NOUN
ajst-2154	78	11	equation	equation	NOUN
ajst-2154	78	12	ax	ax	NOUN
ajst-2154	78	13	b	b	PROPN
ajst-2154	78	14	from	from	ADP
ajst-2154	78	15	the	the	DET
ajst-2154	78	16	vector	vector	NOUN
ajst-2154	78	17	space	space	NOUN
ajst-2154	78	18	x	x	X
ajst-2154	78	19	to	to	ADP
ajst-2154	78	20	the	the	DET
ajst-2154	78	21	vector	vector	NOUN
ajst-2154	78	22	space	space	NOUN
ajst-2154	78	23	b	b	PROPN
ajst-2154	78	24	,	,	PUNCT
ajst-2154	78	25	the	the	DET
ajst-2154	78	26	null	null	ADJ
ajst-2154	78	27	space	space	NOUN
ajst-2154	78	28	dimension	dimension	NOUN
ajst-2154	78	29	is	be	AUX
ajst-2154	78	30	called	call	VERB
ajst-2154	78	31	nullspace	nullspace	NOUN
ajst-2154	78	32	,	,	PUNCT
ajst-2154	78	33	is	be	AUX
ajst-2154	78	34	a	a	DET
ajst-2154	78	35	subspace	subspace	NOUN
ajst-2154	78	36	of	of	ADP
ajst-2154	78	37	x	x	PUNCT
ajst-2154	78	38	mapped	map	VERB
ajst-2154	78	39	to	to	ADP
ajst-2154	78	40	zero	zero	NUM
ajst-2154	78	41	ax	ax	NOUN
ajst-2154	78	42	0	0	NUM
ajst-2154	78	43	)	)	PUNCT
ajst-2154	78	44	,	,	PUNCT
ajst-2154	78	45	b	b	X
ajst-2154	78	46	is	be	AUX
ajst-2154	78	47	the	the	DET
ajst-2154	78	48	range	range	NOUN
ajst-2154	78	49	of	of	ADP
ajst-2154	78	50	a	a	PRON
ajst-2154	78	51	,	,	PUNCT
ajst-2154	78	52	calculated	calculate	VERB
ajst-2154	78	53	by	by	ADP
ajst-2154	78	54	linear	linear	ADJ
ajst-2154	78	55	combinations	combination	NOUN
ajst-2154	78	56	of	of	ADP
ajst-2154	78	57	the	the	DET
ajst-2154	78	58	columns	column	NOUN
ajst-2154	78	59	of	of	ADP
ajst-2154	78	60	a	a	DET
ajst-2154	78	61	subspace	subspace	NOUN
ajst-2154	78	62	,	,	PUNCT
ajst-2154	78	63	and	and	CCONJ
ajst-2154	78	64	the	the	DET
ajst-2154	78	65	dimension	dimension	NOUN
ajst-2154	78	66	of	of	ADP
ajst-2154	78	67	b	b	PROPN
ajst-2154	78	68	is	be	AUX
ajst-2154	78	69	the	the	DET
ajst-2154	78	70	rank	rank	NOUN
ajst-2154	78	71	of	of	ADP
ajst-2154	78	72	a.	a.	NOUN
ajst-2154	78	73	the	the	DET
ajst-2154	78	74	range	range	NOUN
ajst-2154	78	75	of	of	ADP
ajst-2154	78	76	a	a	PRON
ajst-2154	78	77	is	be	AUX
ajst-2154	78	78	the	the	DET
ajst-2154	78	79	combination	combination	NOUN
ajst-2154	78	80	of	of	ADP
ajst-2154	78	81	columns	column	NOUN
ajst-2154	78	82	in	in	ADP
ajst-2154	78	83	u	u	NOUN
ajst-2154	78	84	corresponding	correspond	VERB
ajst-2154	78	85	to	to	ADP
ajst-2154	78	86	ω	ω	NUM
ajst-2154	78	87	0	0	NUM
ajst-2154	78	88	,	,	PUNCT
ajst-2154	78	89	and	and	CCONJ
ajst-2154	78	90	the	the	DET
ajst-2154	78	91	null	null	ADJ
ajst-2154	78	92	space	space	NOUN
ajst-2154	78	93	of	of	ADP
ajst-2154	78	94	a	a	PRON
ajst-2154	78	95	is	be	AUX
ajst-2154	78	96	the	the	DET
ajst-2154	78	97	column	column	NOUN
ajst-2154	78	98	in	in	ADP
ajst-2154	78	99	v	v	PRON
ajst-2154	78	100	corresponding	correspond	VERB
ajst-2154	78	101	to	to	ADP
ajst-2154	78	102	ω	ω	NUM
ajst-2154	78	103	0	0	NUM
ajst-2154	78	104	.	.	PUNCT
ajst-2154	79	1	when	when	SCONJ
ajst-2154	79	2	b	b	NOUN
ajst-2154	79	3	is	be	AUX
ajst-2154	79	4	equal	equal	ADJ
ajst-2154	79	5	to	to	ADP
ajst-2154	79	6	0	0	NUM
ajst-2154	79	7	,	,	PUNCT
ajst-2154	79	8	linear	linear	ADJ
ajst-2154	79	9	combinations	combination	NOUN
ajst-2154	79	10	of	of	ADP
ajst-2154	79	11	the	the	DET
ajst-2154	79	12	null	null	ADJ
ajst-2154	79	13	space	space	NOUN
ajst-2154	79	14	are	be	AUX
ajst-2154	79	15	solutions	solution	NOUN
ajst-2154	79	16	.	.	PUNCT
ajst-2154	80	1	if	if	SCONJ
ajst-2154	80	2	b≠0	b≠0	PROPN
ajst-2154	80	3	,	,	PUNCT
ajst-2154	80	4	the	the	DET
ajst-2154	80	5	equation	equation	NOUN
ajst-2154	80	6	has	have	VERB
ajst-2154	80	7	a	a	DET
ajst-2154	80	8	solution	solution	NOUN
ajst-2154	80	9	if	if	SCONJ
ajst-2154	80	10	b	b	PROPN
ajst-2154	80	11	and	and	CCONJ
ajst-2154	80	12	a	a	PRON
ajst-2154	80	13	have	have	VERB
ajst-2154	80	14	the	the	DET
ajst-2154	80	15	same	same	ADJ
ajst-2154	80	16	rank	rank	NOUN
ajst-2154	80	17	.	.	PUNCT
ajst-2154	81	1	and	and	CCONJ
ajst-2154	81	2	since	since	SCONJ
ajst-2154	81	3	there	there	PRON
ajst-2154	81	4	's	be	VERB
ajst-2154	81	5	an	an	DET
ajst-2154	81	6	infinite	infinite	ADJ
ajst-2154	81	7	number	number	NOUN
ajst-2154	81	8	of	of	ADP
ajst-2154	81	9	linear	linear	ADJ
ajst-2154	81	10	combinations	combination	NOUN
ajst-2154	81	11	of	of	ADP
ajst-2154	81	12	the	the	DET
ajst-2154	81	13	null	null	ADJ
ajst-2154	81	14	space	space	NOUN
ajst-2154	81	15	column	column	NOUN
ajst-2154	81	16	vectors	vector	NOUN
ajst-2154	81	17	and	and	CCONJ
ajst-2154	81	18	solutions	solution	NOUN
ajst-2154	81	19	,	,	PUNCT
ajst-2154	81	20	there	there	PRON
ajst-2154	81	21	's	be	VERB
ajst-2154	81	22	an	an	DET
ajst-2154	81	23	infinite	infinite	ADJ
ajst-2154	81	24	number	number	NOUN
ajst-2154	81	25	of	of	ADP
ajst-2154	81	26	solutions	solution	NOUN
ajst-2154	81	27	to	to	ADP
ajst-2154	81	28	this	this	DET
ajst-2154	81	29	equation	equation	NOUN
ajst-2154	81	30	.	.	PUNCT
ajst-2154	82	1	we	we	PRON
ajst-2154	82	2	usually	usually	ADV
ajst-2154	82	3	obtain	obtain	VERB
ajst-2154	82	4	the	the	DET
ajst-2154	82	5	least	least	ADJ
ajst-2154	82	6	squares	square	NOUN
ajst-2154	82	7	solution	solution	NOUN
ajst-2154	82	8	formula	formula	NOUN
ajst-2154	82	9	by	by	ADP
ajst-2154	82	10	singular	singular	ADJ
ajst-2154	82	11	value	value	NOUN
ajst-2154	82	12	decomposition	decomposition	NOUN
ajst-2154	82	13	method	method	NOUN
ajst-2154	82	14	,	,	PUNCT
ajst-2154	82	15	and	and	CCONJ
ajst-2154	82	16	obtain	obtain	VERB
ajst-2154	82	17	certain	certain	ADJ
ajst-2154	82	18	values	value	NOUN
ajst-2154	82	19	,	,	PUNCT
ajst-2154	82	20	as	as	SCONJ
ajst-2154	82	21	shown	show	VERB
ajst-2154	82	22	in	in	ADP
ajst-2154	82	23	equation	equation	NOUN
ajst-2154	82	24	4	4	NUM
ajst-2154	82	25	:	:	PUNCT
ajst-2154	82	26	𝑓	𝑓	DET
ajst-2154	82	27	𝑉.	𝑉.	NOUN
ajst-2154	82	28	𝑑𝑖𝑎𝑔	𝑑𝑖𝑎𝑔	NOUN
ajst-2154	82	29	.	.	PUNCT
ajst-2154	83	1	𝑈	𝑈	NOUN
ajst-2154	83	2	.	.	PUNCT
ajst-2154	84	1	𝑏	𝑏	NOUN
ajst-2154	84	2	(	(	PUNCT
ajst-2154	84	3	4	4	NUM
ajst-2154	84	4	)	)	PUNCT
ajst-2154	84	5	if	if	SCONJ
ajst-2154	84	6	ω	ω	PROPN
ajst-2154	84	7	0	0	NUM
ajst-2154	84	8	,	,	PUNCT
ajst-2154	84	9	then	then	ADV
ajst-2154	84	10	0	0	X
ajst-2154	84	11	.	.	PUNCT
ajst-2154	85	1	if	if	SCONJ
ajst-2154	85	2	you	you	PRON
ajst-2154	85	3	compare	compare	VERB
ajst-2154	85	4	the	the	DET
ajst-2154	85	5	rank	rank	NOUN
ajst-2154	85	6	of	of	ADP
ajst-2154	85	7	matrix	matrix	NOUN
ajst-2154	85	8	b	b	NOUN
ajst-2154	85	9	to	to	ADP
ajst-2154	85	10	the	the	DET
ajst-2154	85	11	rank	rank	NOUN
ajst-2154	85	12	of	of	ADP
ajst-2154	85	13	matrix	matrix	NOUN
ajst-2154	85	14	a	a	PRON
ajst-2154	85	15	,	,	PUNCT
ajst-2154	85	16	if	if	SCONJ
ajst-2154	85	17	the	the	DET
ajst-2154	85	18	rank	rank	NOUN
ajst-2154	85	19	of	of	ADP
ajst-2154	85	20	b	b	PROPN
ajst-2154	85	21	is	be	AUX
ajst-2154	85	22	greater	great	ADJ
ajst-2154	85	23	than	than	ADP
ajst-2154	85	24	the	the	DET
ajst-2154	85	25	rank	rank	NOUN
ajst-2154	85	26	of	of	ADP
ajst-2154	85	27	a	a	PRON
ajst-2154	85	28	,	,	PUNCT
ajst-2154	85	29	then	then	ADV
ajst-2154	85	30	this	this	DET
ajst-2154	85	31	equation	equation	NOUN
ajst-2154	85	32	has	have	VERB
ajst-2154	85	33	no	no	DET
ajst-2154	85	34	solution	solution	NOUN
ajst-2154	85	35	.	.	PUNCT
ajst-2154	86	1	however	however	ADV
ajst-2154	86	2	,	,	PUNCT
ajst-2154	86	3	at	at	ADP
ajst-2154	86	4	this	this	DET
ajst-2154	86	5	time	time	NOUN
ajst-2154	86	6	,	,	PUNCT
ajst-2154	86	7	the	the	DET
ajst-2154	86	8	singular	singular	ADJ
ajst-2154	86	9	value	value	NOUN
ajst-2154	86	10	decomposition	decomposition	NOUN
ajst-2154	86	11	will	will	AUX
ajst-2154	86	12	still	still	ADV
ajst-2154	86	13	get	get	VERB
ajst-2154	86	14	a	a	DET
ajst-2154	86	15	solution	solution	NOUN
ajst-2154	86	16	to	to	ADP
ajst-2154	86	17	the	the	DET
ajst-2154	86	18	equation	equation	NOUN
ajst-2154	86	19	,	,	PUNCT
ajst-2154	86	20	which	which	PRON
ajst-2154	86	21	is	be	AUX
ajst-2154	86	22	not	not	PART
ajst-2154	86	23	the	the	DET
ajst-2154	86	24	exact	exact	ADJ
ajst-2154	86	25	solution	solution	NOUN
ajst-2154	86	26	of	of	ADP
ajst-2154	86	27	ax	ax	NOUN
ajst-2154	86	28	b	b	PROPN
ajst-2154	86	29	,	,	PUNCT
ajst-2154	86	30	but	but	CCONJ
ajst-2154	86	31	it	it	PRON
ajst-2154	86	32	is	be	AUX
ajst-2154	86	33	the	the	DET
ajst-2154	86	34	closest	close	ADJ
ajst-2154	86	35	solution	solution	NOUN
ajst-2154	86	36	in	in	ADP
ajst-2154	86	37	the	the	DET
ajst-2154	86	38	sense	sense	NOUN
ajst-2154	86	39	of	of	ADP
ajst-2154	86	40	least	least	ADJ
ajst-2154	86	41	squares	square	NOUN
ajst-2154	86	42	.	.	PUNCT
ajst-2154	87	1	this	this	DET
ajst-2154	87	2	approach	approach	NOUN
ajst-2154	87	3	does	do	AUX
ajst-2154	87	4	n't	not	PART
ajst-2154	87	5	take	take	VERB
ajst-2154	87	6	into	into	ADP
ajst-2154	87	7	account	account	NOUN
ajst-2154	87	8	some	some	PRON
ajst-2154	87	9	of	of	ADP
ajst-2154	87	10	the	the	DET
ajst-2154	87	11	linear	linear	ADJ
ajst-2154	87	12	components	component	NOUN
ajst-2154	87	13	involved	involve	VERB
ajst-2154	87	14	in	in	ADP
ajst-2154	87	15	the	the	DET
ajst-2154	87	16	problem	problem	NOUN
ajst-2154	87	17	,	,	PUNCT
ajst-2154	87	18	but	but	CCONJ
ajst-2154	87	19	from	from	ADP
ajst-2154	87	20	a	a	DET
ajst-2154	87	21	practical	practical	ADJ
ajst-2154	87	22	point	point	NOUN
ajst-2154	87	23	of	of	ADP
ajst-2154	87	24	view	view	NOUN
ajst-2154	87	25	,	,	PUNCT
ajst-2154	87	26	the	the	DET
ajst-2154	87	27	overlooked	overlook	VERB
ajst-2154	87	28	variable	variable	NOUN
ajst-2154	87	29	is	be	AUX
ajst-2154	87	30	the	the	DET
ajst-2154	87	31	exact	exact	ADJ
ajst-2154	87	32	solution	solution	NOUN
ajst-2154	87	33	including	include	VERB
ajst-2154	87	34	rounding	round	VERB
ajst-2154	87	35	errors	error	NOUN
ajst-2154	87	36	,	,	PUNCT
ajst-2154	87	37	which	which	PRON
ajst-2154	87	38	is	be	AUX
ajst-2154	87	39	close	close	ADJ
ajst-2154	87	40	to	to	ADP
ajst-2154	87	41	or	or	CCONJ
ajst-2154	87	42	even	even	ADV
ajst-2154	87	43	close	close	ADJ
ajst-2154	87	44	to	to	ADP
ajst-2154	87	45	the	the	DET
ajst-2154	87	46	null	null	ADJ
ajst-2154	87	47	space	space	NOUN
ajst-2154	87	48	vector	vector	NOUN
ajst-2154	87	49	.	.	PUNCT
ajst-2154	88	1	in	in	ADP
ajst-2154	88	2	the	the	DET
ajst-2154	88	3	inversion	inversion	NOUN
ajst-2154	88	4	of	of	ADP
ajst-2154	88	5	t2	t2	NOUN
ajst-2154	88	6	spectrum	spectrum	NOUN
ajst-2154	88	7	,	,	PUNCT
ajst-2154	88	8	the	the	DET
ajst-2154	88	9	number	number	NOUN
ajst-2154	88	10	of	of	ADP
ajst-2154	88	11	rows	row	NOUN
ajst-2154	88	12	of	of	ADP
ajst-2154	88	13	the	the	DET
ajst-2154	88	14	system	system	NOUN
ajst-2154	88	15	of	of	ADP
ajst-2154	88	16	equations	equation	NOUN
ajst-2154	88	17	is	be	AUX
ajst-2154	88	18	much	much	ADV
ajst-2154	88	19	larger	large	ADJ
ajst-2154	88	20	than	than	ADP
ajst-2154	88	21	the	the	DET
ajst-2154	88	22	number	number	NOUN
ajst-2154	88	23	of	of	ADP
ajst-2154	88	24	columns	column	NOUN
ajst-2154	88	25	,	,	PUNCT
ajst-2154	88	26	w	w	PROPN
ajst-2154	88	27	will	will	AUX
ajst-2154	88	28	not	not	PART
ajst-2154	88	29	have	have	VERB
ajst-2154	88	30	singular	singular	ADJ
ajst-2154	88	31	condition	condition	NOUN
ajst-2154	88	32	,	,	PUNCT
ajst-2154	88	33	and	and	CCONJ
ajst-2154	88	34	ω	ω	NOUN
ajst-2154	88	35	will	will	AUX
ajst-2154	88	36	not	not	PART
ajst-2154	88	37	be	be	AUX
ajst-2154	88	38	zero	zero	NUM
ajst-2154	88	39	.	.	PUNCT
ajst-2154	89	1	however	however	ADV
ajst-2154	89	2	,	,	PUNCT
ajst-2154	89	3	matrix	matrix	VERB
ajst-2154	89	4	a	a	PRON
ajst-2154	89	5	may	may	AUX
ajst-2154	89	6	have	have	VERB
ajst-2154	89	7	matrix	matrix	NOUN
ajst-2154	89	8	degradation	degradation	NOUN
ajst-2154	89	9	,	,	PUNCT
ajst-2154	89	10	so	so	SCONJ
ajst-2154	89	11	it	it	PRON
ajst-2154	89	12	is	be	AUX
ajst-2154	89	13	necessary	necessary	ADJ
ajst-2154	89	14	to	to	ADP
ajst-2154	89	15	zero	zero	NUM
ajst-2154	89	16	some	some	DET
ajst-2154	89	17	small	small	ADJ
ajst-2154	89	18	ω	ω	PROPN
ajst-2154	89	19	5	5	NUM
ajst-2154	89	20	.	.	PUNCT
ajst-2154	89	21	improved	improve	VERB
ajst-2154	89	22	singular	singular	ADJ
ajst-2154	89	23	value	value	NOUN
ajst-2154	89	24	decomposition	decomposition	NOUN
ajst-2154	89	25	algorithm	algorithm	NOUN
ajst-2154	89	26	5.1	5.1	NUM
ajst-2154	89	27	.	.	PUNCT
ajst-2154	90	1	optimal	optimal	ADJ
ajst-2154	90	2	number	number	NOUN
ajst-2154	90	3	of	of	ADP
ajst-2154	90	4	retained	retain	VERB
ajst-2154	90	5	singular	singular	ADJ
ajst-2154	90	6	values	value	NOUN
ajst-2154	90	7	for	for	ADP
ajst-2154	90	8	singular	singular	ADJ
ajst-2154	90	9	value	value	NOUN
ajst-2154	90	10	decomposition	decomposition	NOUN
ajst-2154	90	11	(	(	PUNCT
ajst-2154	90	12	svd	svd	PROPN
ajst-2154	90	13	)	)	PUNCT
ajst-2154	90	14	,	,	PUNCT
ajst-2154	90	15	it	it	PRON
ajst-2154	90	16	is	be	AUX
ajst-2154	90	17	the	the	DET
ajst-2154	90	18	key	key	NOUN
ajst-2154	90	19	to	to	PART
ajst-2154	90	20	select	select	VERB
ajst-2154	90	21	the	the	DET
ajst-2154	90	22	appropriate	appropriate	ADJ
ajst-2154	90	23	number	number	NOUN
ajst-2154	90	24	of	of	ADP
ajst-2154	90	25	retained	retain	VERB
ajst-2154	90	26	singular	singular	ADJ
ajst-2154	90	27	values	value	NOUN
ajst-2154	90	28	.	.	PUNCT
ajst-2154	91	1	when	when	SCONJ
ajst-2154	91	2	the	the	DET
ajst-2154	91	3	snr	snr	NOUN
ajst-2154	91	4	is	be	AUX
ajst-2154	91	5	too	too	ADV
ajst-2154	91	6	low	low	ADJ
ajst-2154	91	7	,	,	PUNCT
ajst-2154	91	8	the	the	DET
ajst-2154	91	9	solution	solution	NOUN
ajst-2154	91	10	is	be	AUX
ajst-2154	91	11	closely	closely	ADV
ajst-2154	91	12	related	relate	VERB
ajst-2154	91	13	to	to	ADP
ajst-2154	91	14	the	the	DET
ajst-2154	91	15	number	number	NOUN
ajst-2154	91	16	of	of	ADP
ajst-2154	91	17	retained	retain	VERB
ajst-2154	91	18	singular	singular	ADJ
ajst-2154	91	19	values	value	NOUN
ajst-2154	91	20	.	.	PUNCT
ajst-2154	92	1	in	in	ADP
ajst-2154	92	2	this	this	DET
ajst-2154	92	3	paper	paper	NOUN
ajst-2154	92	4	,	,	PUNCT
ajst-2154	92	5	the	the	DET
ajst-2154	92	6	minimum	minimum	ADJ
ajst-2154	92	7	residual	residual	ADJ
ajst-2154	92	8	sum	sum	NOUN
ajst-2154	92	9	of	of	ADP
ajst-2154	92	10	squares	square	NOUN
ajst-2154	92	11	is	be	AUX
ajst-2154	92	12	used	use	VERB
ajst-2154	92	13	as	as	ADP
ajst-2154	92	14	the	the	DET
ajst-2154	92	15	measurement	measurement	NOUN
ajst-2154	92	16	standard	standard	NOUN
ajst-2154	92	17	,	,	PUNCT
ajst-2154	92	18	and	and	CCONJ
ajst-2154	92	19	the	the	DET
ajst-2154	92	20	optimal	optimal	ADJ
ajst-2154	92	21	number	number	NOUN
ajst-2154	92	22	of	of	ADP
ajst-2154	92	23	retained	retain	VERB
ajst-2154	92	24	singular	singular	ADJ
ajst-2154	92	25	values	value	NOUN
ajst-2154	92	26	is	be	AUX
ajst-2154	92	27	determined	determine	VERB
ajst-2154	92	28	by	by	ADP
ajst-2154	92	29	calculating	calculate	VERB
ajst-2154	92	30	the	the	DET
ajst-2154	92	31	optimal	optimal	ADJ
ajst-2154	92	32	number	number	NOUN
ajst-2154	92	33	of	of	ADP
ajst-2154	92	34	retained	retain	VERB
ajst-2154	92	35	singular	singular	ADJ
ajst-2154	92	36	values	value	NOUN
ajst-2154	92	37	under	under	ADP
ajst-2154	92	38	different	different	ADJ
ajst-2154	92	39	snr	snr	NOUN
ajst-2154	92	40	.	.	PUNCT
ajst-2154	93	1	the	the	DET
ajst-2154	93	2	optimal	optimal	ADJ
ajst-2154	93	3	number	number	NOUN
ajst-2154	93	4	of	of	ADP
ajst-2154	93	5	retained	retain	VERB
ajst-2154	93	6	singular	singular	ADJ
ajst-2154	93	7	values	value	NOUN
ajst-2154	93	8	l	l	NOUN
ajst-2154	93	9	satisfies	satisfie	NOUN
ajst-2154	93	10	:	:	PUNCT
ajst-2154	93	11	min	min	PROPN
ajst-2154	93	12	𝜎	𝜎	PROPN
ajst-2154	93	13	∑	∑	PUNCT
ajst-2154	93	14	𝑥	𝑥	PRON
ajst-2154	93	15	𝑥	𝑥	X
ajst-2154	93	16	(	(	PUNCT
ajst-2154	93	17	5	5	NUM
ajst-2154	93	18	)	)	PUNCT
ajst-2154	93	19	𝑥	𝑥	NOUN
ajst-2154	93	20	:	:	PUNCT
ajst-2154	93	21	construct	construct	VERB
ajst-2154	93	22	the	the	DET
ajst-2154	93	23	ith	ith	PROPN
ajst-2154	93	24	relaxation	relaxation	NOUN
ajst-2154	93	25	component	component	NOUN
ajst-2154	93	26	of	of	ADP
ajst-2154	93	27	the	the	DET
ajst-2154	93	28	spectrum	spectrum	NOUN
ajst-2154	93	29	;	;	PUNCT
ajst-2154	93	30	𝑥	𝑥	X
ajst-2154	93	31	:	:	PUNCT
ajst-2154	93	32	the	the	DET
ajst-2154	93	33	ith	ith	PROPN
ajst-2154	93	34	relaxation	relaxation	NOUN
ajst-2154	93	35	component	component	NOUN
ajst-2154	93	36	of	of	ADP
ajst-2154	93	37	t2	t2	PROPN
ajst-2154	93	38	spectrum	spectrum	NOUN
ajst-2154	93	39	obtained	obtain	VERB
ajst-2154	93	40	by	by	ADP
ajst-2154	93	41	inversion	inversion	NOUN
ajst-2154	93	42	with	with	ADP
ajst-2154	93	43	l	l	PROPN
ajst-2154	93	44	singular	singular	ADJ
ajst-2154	93	45	values	value	NOUN
ajst-2154	93	46	retained	retain	VERB
ajst-2154	93	47	;	;	PUNCT
ajst-2154	93	48	𝜎	𝜎	NUM
ajst-2154	93	49	:	:	PUNCT
ajst-2154	93	50	residual	residual	ADJ
ajst-2154	93	51	of	of	ADP
ajst-2154	93	52	the	the	DET
ajst-2154	93	53	inversion	inversion	NOUN
ajst-2154	93	54	results	result	NOUN
ajst-2154	93	55	when	when	SCONJ
ajst-2154	93	56	the	the	DET
ajst-2154	93	57	singular	singular	ADJ
ajst-2154	93	58	value	value	NOUN
ajst-2154	93	59	of	of	ADP
ajst-2154	93	60	l	l	NOUN
ajst-2154	93	61	is	be	AUX
ajst-2154	93	62	preserved	preserve	VERB
ajst-2154	93	63	.	.	PUNCT
ajst-2154	94	1	taking	take	VERB
ajst-2154	94	2	the	the	DET
ajst-2154	94	3	constructed	construct	VERB
ajst-2154	94	4	echo	echo	NOUN
ajst-2154	94	5	string	string	NOUN
ajst-2154	94	6	as	as	SCONJ
ajst-2154	94	7	the	the	DET
ajst-2154	94	8	experimental	experimental	ADJ
ajst-2154	94	9	data	datum	NOUN
ajst-2154	94	10	,	,	PUNCT
ajst-2154	94	11	the	the	DET
ajst-2154	94	12	optimal	optimal	ADJ
ajst-2154	94	13	number	number	NOUN
ajst-2154	94	14	of	of	ADP
ajst-2154	94	15	preserved	preserve	VERB
ajst-2154	94	16	singular	singular	ADJ
ajst-2154	94	17	values	value	NOUN
ajst-2154	94	18	is	be	AUX
ajst-2154	94	19	obtained	obtain	VERB
ajst-2154	94	20	by	by	ADP
ajst-2154	94	21	calculation	calculation	NOUN
ajst-2154	94	22	,	,	PUNCT
ajst-2154	94	23	and	and	CCONJ
ajst-2154	94	24	compared	compare	VERB
ajst-2154	94	25	with	with	ADP
ajst-2154	94	26	the	the	DET
ajst-2154	94	27	number	number	NOUN
ajst-2154	94	28	of	of	ADP
ajst-2154	94	29	singular	singular	ADJ
ajst-2154	94	30	values	value	NOUN
ajst-2154	94	31	obtained	obtain	VERB
ajst-2154	94	32	by	by	ADP
ajst-2154	94	33	the	the	DET
ajst-2154	94	34	traditional	traditional	ADJ
ajst-2154	94	35	svd	svd	PROPN
ajst-2154	94	36	algorithm	algorithm	NOUN
ajst-2154	94	37	using	use	VERB
ajst-2154	94	38	snr	snr	PROPN
ajst-2154	94	39	as	as	ADP
ajst-2154	94	40	the	the	DET
ajst-2154	94	41	condition	condition	NOUN
ajst-2154	94	42	number	number	NOUN
ajst-2154	94	43	.	.	PUNCT
ajst-2154	95	1	the	the	DET
ajst-2154	95	2	results	result	NOUN
ajst-2154	95	3	are	be	AUX
ajst-2154	95	4	shown	show	VERB
ajst-2154	95	5	in	in	ADP
ajst-2154	95	6	table	table	NOUN
ajst-2154	95	7	1	1	NUM
ajst-2154	95	8	.	.	PUNCT
ajst-2154	95	9	from	from	ADP
ajst-2154	95	10	the	the	DET
ajst-2154	95	11	table	table	NOUN
ajst-2154	95	12	,	,	PUNCT
ajst-2154	95	13	we	we	PRON
ajst-2154	95	14	can	can	AUX
ajst-2154	95	15	see	see	VERB
ajst-2154	95	16	that	that	SCONJ
ajst-2154	95	17	the	the	DET
ajst-2154	95	18	number	number	NOUN
ajst-2154	95	19	of	of	ADP
ajst-2154	95	20	singular	singular	ADJ
ajst-2154	95	21	values	value	NOUN
ajst-2154	95	22	retained	retain	VERB
ajst-2154	95	23	by	by	ADP
ajst-2154	95	24	the	the	DET
ajst-2154	95	25	traditional	traditional	ADJ
ajst-2154	95	26	svd	svd	PROPN
ajst-2154	95	27	algorithm	algorithm	NOUN
ajst-2154	95	28	is	be	AUX
ajst-2154	95	29	generally	generally	ADV
ajst-2154	95	30	less	less	ADJ
ajst-2154	95	31	than	than	ADP
ajst-2154	95	32	the	the	DET
ajst-2154	95	33	best	good	ADJ
ajst-2154	95	34	number	number	NOUN
ajst-2154	95	35	of	of	ADP
ajst-2154	95	36	retained	retain	VERB
ajst-2154	95	37	values	value	NOUN
ajst-2154	95	38	calculated	calculate	VERB
ajst-2154	95	39	.	.	PUNCT
ajst-2154	96	1	128	128	NUM
ajst-2154	96	2	table	table	NOUN
ajst-2154	96	3	1	1	NUM
ajst-2154	96	4	.	.	PUNCT
ajst-2154	96	5	number	number	NOUN
ajst-2154	96	6	of	of	ADP
ajst-2154	96	7	retained	retain	VERB
ajst-2154	96	8	singular	singular	ADJ
ajst-2154	96	9	values	value	NOUN
ajst-2154	96	10	under	under	ADP
ajst-2154	96	11	different	different	ADJ
ajst-2154	96	12	snr	snr	PROPN
ajst-2154	96	13	snr	snr	PROPN
ajst-2154	96	14	5	5	NUM
ajst-2154	96	15	10	10	NUM
ajst-2154	96	16	20	20	NUM
ajst-2154	96	17	30	30	NUM
ajst-2154	96	18	50	50	NUM
ajst-2154	96	19	70	70	NUM
ajst-2154	96	20	90	90	NUM
ajst-2154	96	21	100	100	NUM
ajst-2154	96	22	svd	svd	PROPN
ajst-2154	96	23	保留奇	保留奇	X
ajst-2154	96	24	异值个数	异值个数	NOUN
ajst-2154	96	25	2	2	NUM
ajst-2154	96	26	2	2	NUM
ajst-2154	96	27	3	3	NUM
ajst-2154	96	28	4	4	NUM
ajst-2154	96	29	5	5	NUM
ajst-2154	96	30	5	5	NUM
ajst-2154	96	31	5	5	NUM
ajst-2154	96	32	5	5	NUM
ajst-2154	96	33	最佳保留奇	最佳保留奇	NOUN
ajst-2154	96	34	异值个数	异值个数	NOUN
ajst-2154	96	35	4	4	NUM
ajst-2154	96	36	4	4	NUM
ajst-2154	96	37	4	4	NUM
ajst-2154	96	38	5	5	NUM
ajst-2154	96	39	5	5	NUM
ajst-2154	96	40	6	6	NUM
ajst-2154	96	41	6	6	NUM
ajst-2154	96	42	6	6	NUM
ajst-2154	96	43	it	it	PRON
ajst-2154	96	44	can	can	AUX
ajst-2154	96	45	be	be	AUX
ajst-2154	96	46	seen	see	VERB
ajst-2154	96	47	from	from	ADP
ajst-2154	96	48	figure	figure	NOUN
ajst-2154	96	49	3	3	NUM
ajst-2154	96	50	and	and	CCONJ
ajst-2154	96	51	figure	figure	VERB
ajst-2154	96	52	4	4	NUM
ajst-2154	96	53	that	that	SCONJ
ajst-2154	96	54	it	it	PRON
ajst-2154	96	55	is	be	AUX
ajst-2154	96	56	easy	easy	ADJ
ajst-2154	96	57	to	to	PART
ajst-2154	96	58	invert	invert	VERB
ajst-2154	96	59	the	the	DET
ajst-2154	96	60	multi	multi	ADJ
ajst-2154	96	61	-	-	ADJ
ajst-2154	96	62	peak	peak	ADJ
ajst-2154	96	63	t2	t2	NOUN
ajst-2154	96	64	spectrum	spectrum	NOUN
ajst-2154	96	65	into	into	ADP
ajst-2154	96	66	a	a	DET
ajst-2154	96	67	single	single	ADJ
ajst-2154	96	68	-	-	PUNCT
ajst-2154	96	69	peak	peak	NOUN
ajst-2154	96	70	curve	curve	NOUN
ajst-2154	96	71	by	by	ADP
ajst-2154	96	72	using	use	VERB
ajst-2154	96	73	the	the	DET
ajst-2154	96	74	traditional	traditional	ADJ
ajst-2154	96	75	svd	svd	PROPN
ajst-2154	96	76	algorithm	algorithm	NOUN
ajst-2154	96	77	,	,	PUNCT
ajst-2154	96	78	which	which	PRON
ajst-2154	96	79	is	be	AUX
ajst-2154	96	80	more	more	ADV
ajst-2154	96	81	serious	serious	ADJ
ajst-2154	96	82	when	when	SCONJ
ajst-2154	96	83	the	the	DET
ajst-2154	96	84	snr	snr	NOUN
ajst-2154	96	85	is	be	AUX
ajst-2154	96	86	low	low	ADJ
ajst-2154	96	87	.	.	PUNCT
ajst-2154	97	1	figure	figure	NOUN
ajst-2154	97	2	3	3	NUM
ajst-2154	97	3	.	.	PUNCT
ajst-2154	97	4	comparison	comparison	NOUN
ajst-2154	97	5	results	result	NOUN
ajst-2154	97	6	when	when	SCONJ
ajst-2154	97	7	snr	snr	PROPN
ajst-2154	97	8	=	=	SYM
ajst-2154	97	9	5	5	X
ajst-2154	97	10	.	.	X
ajst-2154	97	11	figure	figure	NOUN
ajst-2154	97	12	4	4	NUM
ajst-2154	97	13	.	.	PUNCT
ajst-2154	97	14	comparison	comparison	NOUN
ajst-2154	97	15	results	result	NOUN
ajst-2154	97	16	when	when	SCONJ
ajst-2154	97	17	snr	snr	PROPN
ajst-2154	97	18	=	=	SYM
ajst-2154	97	19	30	30	NUM
ajst-2154	97	20	therefore	therefore	ADV
ajst-2154	97	21	,	,	PUNCT
ajst-2154	97	22	when	when	SCONJ
ajst-2154	97	23	measuring	measure	VERB
ajst-2154	97	24	the	the	DET
ajst-2154	97	25	number	number	NOUN
ajst-2154	97	26	of	of	ADP
ajst-2154	97	27	retained	retain	VERB
ajst-2154	97	28	singular	singular	ADJ
ajst-2154	97	29	values	value	NOUN
ajst-2154	97	30	,	,	PUNCT
ajst-2154	97	31	only	only	ADV
ajst-2154	97	32	referring	refer	VERB
ajst-2154	97	33	to	to	ADP
ajst-2154	97	34	the	the	DET
ajst-2154	97	35	maximum	maximum	ADJ
ajst-2154	97	36	singular	singular	ADJ
ajst-2154	97	37	value	value	NOUN
ajst-2154	97	38	ratio	ratio	NOUN
ajst-2154	97	39	(	(	PUNCT
ajst-2154	97	40	svr	svr	PROPN
ajst-2154	97	41	)	)	PUNCT
ajst-2154	97	42	signal	signal	NOUN
ajst-2154	97	43	-	-	PUNCT
ajst-2154	97	44	to	to	ADP
ajst-2154	97	45	-	-	PUNCT
ajst-2154	97	46	noise	noise	NOUN
ajst-2154	97	47	ratio	ratio	NOUN
ajst-2154	97	48	(	(	PUNCT
ajst-2154	97	49	snr	snr	PROPN
ajst-2154	97	50	)	)	PUNCT
ajst-2154	97	51	can	can	AUX
ajst-2154	97	52	not	not	PART
ajst-2154	97	53	meet	meet	VERB
ajst-2154	97	54	the	the	DET
ajst-2154	97	55	information	information	NOUN
ajst-2154	97	56	demand	demand	NOUN
ajst-2154	97	57	,	,	PUNCT
ajst-2154	97	58	and	and	CCONJ
ajst-2154	97	59	how	how	SCONJ
ajst-2154	97	60	to	to	PART
ajst-2154	97	61	choose	choose	VERB
ajst-2154	97	62	the	the	DET
ajst-2154	97	63	appropriate	appropriate	ADJ
ajst-2154	97	64	condition	condition	NOUN
ajst-2154	97	65	number	number	NOUN
ajst-2154	97	66	is	be	AUX
ajst-2154	97	67	the	the	DET
ajst-2154	97	68	key	key	NOUN
ajst-2154	97	69	to	to	PART
ajst-2154	97	70	solve	solve	VERB
ajst-2154	97	71	the	the	DET
ajst-2154	97	72	problem	problem	NOUN
ajst-2154	97	73	.	.	PUNCT
ajst-2154	98	1	because	because	SCONJ
ajst-2154	98	2	the	the	DET
ajst-2154	98	3	condition	condition	NOUN
ajst-2154	98	4	number	number	NOUN
ajst-2154	98	5	itself	itself	PRON
ajst-2154	98	6	is	be	AUX
ajst-2154	98	7	continuous	continuous	ADJ
ajst-2154	98	8	values	value	NOUN
ajst-2154	98	9	,	,	PUNCT
ajst-2154	98	10	but	but	CCONJ
ajst-2154	98	11	to	to	PART
ajst-2154	98	12	choose	choose	VERB
ajst-2154	98	13	the	the	DET
ajst-2154	98	14	singular	singular	ADJ
ajst-2154	98	15	value	value	NOUN
ajst-2154	98	16	decomposition	decomposition	NOUN
ajst-2154	98	17	method	method	NOUN
ajst-2154	98	18	in	in	ADP
ajst-2154	98	19	singular	singular	ADJ
ajst-2154	98	20	value	value	NOUN
ajst-2154	98	21	reservation	reservation	NOUN
ajst-2154	98	22	number	number	NOUN
ajst-2154	98	23	when	when	SCONJ
ajst-2154	98	24	it	it	PRON
ajst-2154	98	25	is	be	AUX
ajst-2154	98	26	discrete	discrete	ADJ
ajst-2154	98	27	,	,	PUNCT
ajst-2154	98	28	general	general	ADJ
ajst-2154	98	29	best	well	ADV
ajst-2154	98	30	reserved	reserve	VERB
ajst-2154	98	31	to	to	ADP
ajst-2154	98	32	the	the	DET
ajst-2154	98	33	singular	singular	PROPN
ajst-2154	98	34	values	value	VERB
ajst-2154	98	35	the	the	DET
ajst-2154	98	36	number	number	NOUN
ajst-2154	98	37	of	of	ADP
ajst-2154	98	38	l	l	NOUN
ajst-2154	98	39	and	and	CCONJ
ajst-2154	98	40	the	the	DET
ajst-2154	98	41	best	good	ADJ
ajst-2154	98	42	condition	condition	NOUN
ajst-2154	98	43	number	number	NOUN
ajst-2154	98	44	is	be	AUX
ajst-2154	98	45	a	a	DET
ajst-2154	98	46	step	step	NOUN
ajst-2154	98	47	function	function	NOUN
ajst-2154	98	48	,	,	PUNCT
ajst-2154	98	49	both	both	CCONJ
ajst-2154	98	50	correspondence	correspondence	NOUN
ajst-2154	98	51	and	and	CCONJ
ajst-2154	98	52	are	be	AUX
ajst-2154	98	53	continuous	continuous	ADJ
ajst-2154	98	54	,	,	PUNCT
ajst-2154	98	55	so	so	SCONJ
ajst-2154	98	56	the	the	DET
ajst-2154	98	57	singular	singular	ADJ
ajst-2154	98	58	value	value	NOUN
ajst-2154	98	59	decomposition	decomposition	NOUN
ajst-2154	98	60	method	method	NOUN
ajst-2154	98	61	is	be	AUX
ajst-2154	98	62	the	the	DET
ajst-2154	98	63	best	good	ADJ
ajst-2154	98	64	condition	condition	NOUN
ajst-2154	98	65	number	number	NOUN
ajst-2154	98	66	of	of	ADP
ajst-2154	98	67	a	a	DET
ajst-2154	98	68	range	range	NOUN
ajst-2154	98	69	.	.	PUNCT
ajst-2154	99	1	therefore	therefore	ADV
ajst-2154	99	2	,	,	PUNCT
ajst-2154	99	3	when	when	SCONJ
ajst-2154	99	4	confirming	confirm	VERB
ajst-2154	99	5	the	the	DET
ajst-2154	99	6	value	value	NOUN
ajst-2154	99	7	interval	interval	NOUN
ajst-2154	99	8	of	of	ADP
ajst-2154	99	9	the	the	DET
ajst-2154	99	10	best	good	ADJ
ajst-2154	99	11	condition	condition	NOUN
ajst-2154	99	12	number	number	NOUN
ajst-2154	99	13	,	,	PUNCT
ajst-2154	99	14	it	it	PRON
ajst-2154	99	15	can	can	AUX
ajst-2154	99	16	be	be	AUX
ajst-2154	99	17	obtained	obtain	VERB
ajst-2154	99	18	by	by	ADP
ajst-2154	99	19	the	the	DET
ajst-2154	99	20	number	number	NOUN
ajst-2154	99	21	of	of	ADP
ajst-2154	99	22	the	the	DET
ajst-2154	99	23	best	good	ADJ
ajst-2154	99	24	singular	singular	ADJ
ajst-2154	99	25	values	value	NOUN
ajst-2154	99	26	retained	retain	VERB
ajst-2154	99	27	,	,	PUNCT
ajst-2154	99	28	ω	ω	PROPN
ajst-2154	99	29	/ω	/ω	PROPN
ajst-2154	99	30	,	,	PUNCT
ajst-2154	99	31	ω	ω	PROPN
ajst-2154	99	32	/ω	/ω	PUNCT
ajst-2154	99	33	.	.	PUNCT
ajst-2154	100	1	based	base	VERB
ajst-2154	100	2	on	on	ADP
ajst-2154	100	3	this	this	PRON
ajst-2154	100	4	,	,	PUNCT
ajst-2154	100	5	the	the	DET
ajst-2154	100	6	singular	singular	ADJ
ajst-2154	100	7	value	value	NOUN
ajst-2154	100	8	truncation	truncation	NOUN
ajst-2154	100	9	algorithm	algorithm	NOUN
ajst-2154	100	10	is	be	AUX
ajst-2154	100	11	optimized	optimize	VERB
ajst-2154	100	12	:	:	PUNCT
ajst-2154	100	13	x	x	SYM
ajst-2154	100	14	vdiag	vdiag	NOUN
ajst-2154	100	15	,	,	PUNCT
ajst-2154	100	16	,	,	PUNCT
ajst-2154	100	17	…	…	PUNCT
ajst-2154	100	18	,	,	PUNCT
ajst-2154	100	19	.	.	PUNCT
ajst-2154	101	1	,	,	PUNCT
ajst-2154	101	2	0	0	NUM
ajst-2154	101	3	,	,	PUNCT
ajst-2154	101	4	…	…	PUNCT
ajst-2154	101	5	,	,	PUNCT
ajst-2154	101	6	0	0	X
ajst-2154	101	7	𝑈	𝑈	PROPN
ajst-2154	101	8	𝑌	𝑌	PROPN
ajst-2154	101	9	(	(	PUNCT
ajst-2154	101	10	5	5	NUM
ajst-2154	101	11	)	)	PUNCT
ajst-2154	101	12	it	it	PRON
ajst-2154	101	13	can	can	AUX
ajst-2154	101	14	be	be	AUX
ajst-2154	101	15	called	call	VERB
ajst-2154	101	16	linear	linear	ADJ
ajst-2154	101	17	truncation	truncation	NOUN
ajst-2154	101	18	algorithm	algorithm	NOUN
ajst-2154	101	19	.	.	PUNCT
ajst-2154	102	1	the	the	DET
ajst-2154	102	2	traditional	traditional	ADJ
ajst-2154	102	3	svd	svd	PROPN
ajst-2154	102	4	algorithm	algorithm	NOUN
ajst-2154	102	5	using	use	VERB
ajst-2154	102	6	snr	snr	PROPN
ajst-2154	102	7	as	as	SCONJ
ajst-2154	102	8	condition	condition	NOUN
ajst-2154	102	9	number	number	NOUN
ajst-2154	102	10	is	be	AUX
ajst-2154	102	11	a	a	DET
ajst-2154	102	12	special	special	ADJ
ajst-2154	102	13	case	case	NOUN
ajst-2154	102	14	of	of	ADP
ajst-2154	102	15	linear	linear	PROPN
ajst-2154	102	16	truncation	truncation	NOUN
ajst-2154	102	17	algorithm	algorithm	PROPN
ajst-2154	102	18	a=1,b=0	a=1,b=0	PROPN
ajst-2154	102	19	.	.	PUNCT
ajst-2154	103	1	the	the	DET
ajst-2154	103	2	coefficients	coefficient	NOUN
ajst-2154	103	3	a	a	PRON
ajst-2154	103	4	and	and	CCONJ
ajst-2154	103	5	b	b	NOUN
ajst-2154	103	6	used	use	VERB
ajst-2154	103	7	in	in	ADP
ajst-2154	103	8	the	the	DET
ajst-2154	103	9	actual	actual	ADJ
ajst-2154	103	10	logging	logging	NOUN
ajst-2154	103	11	are	be	AUX
ajst-2154	103	12	determined	determine	VERB
ajst-2154	103	13	by	by	ADP
ajst-2154	103	14	the	the	DET
ajst-2154	103	15	above	above	ADJ
ajst-2154	103	16	method	method	NOUN
ajst-2154	103	17	,	,	PUNCT
ajst-2154	103	18	based	base	VERB
ajst-2154	103	19	on	on	ADP
ajst-2154	103	20	the	the	DET
ajst-2154	103	21	different	different	ADJ
ajst-2154	103	22	number	number	NOUN
ajst-2154	103	23	of	of	ADP
ajst-2154	103	24	spots	spot	NOUN
ajst-2154	103	25	and	and	CCONJ
ajst-2154	103	26	echoes	echo	NOUN
ajst-2154	103	27	.	.	PUNCT
ajst-2154	104	1	assumption	assumption	NOUN
ajst-2154	104	2	conditions	condition	NOUN
ajst-2154	104	3	:	:	PUNCT
ajst-2154	104	4	number	number	NOUN
ajst-2154	104	5	of	of	ADP
ajst-2154	104	6	points	point	NOUN
ajst-2154	104	7	m=32	m=32	ADJ
ajst-2154	104	8	,	,	PUNCT
ajst-2154	104	9	number	number	NOUN
ajst-2154	104	10	of	of	ADP
ajst-2154	104	11	echoes	echo	NOUN
ajst-2154	104	12	n=500	n=500	NUM
ajst-2154	104	13	.	.	PUNCT
ajst-2154	105	1	the	the	DET
ajst-2154	105	2	experimental	experimental	ADJ
ajst-2154	105	3	results	result	NOUN
ajst-2154	105	4	show	show	VERB
ajst-2154	105	5	that	that	SCONJ
ajst-2154	105	6	when	when	SCONJ
ajst-2154	105	7	a=1.45	a=1.45	NOUN
ajst-2154	105	8	and	and	CCONJ
ajst-2154	105	9	b=16	b=16	PROPN
ajst-2154	105	10	,	,	PUNCT
ajst-2154	105	11	the	the	DET
ajst-2154	105	12	svd	svd	PROPN
ajst-2154	105	13	algorithm	algorithm	NOUN
ajst-2154	105	14	can	can	AUX
ajst-2154	105	15	achieve	achieve	VERB
ajst-2154	105	16	the	the	DET
ajst-2154	105	17	best	good	ADJ
ajst-2154	105	18	effect	effect	NOUN
ajst-2154	105	19	under	under	ADP
ajst-2154	105	20	any	any	DET
ajst-2154	105	21	snr	snr	NOUN
ajst-2154	105	22	condition	condition	NOUN
ajst-2154	105	23	.	.	PUNCT
ajst-2154	106	1	the	the	DET
ajst-2154	106	2	number	number	NOUN
ajst-2154	106	3	of	of	ADP
ajst-2154	106	4	scatter	scatter	NOUN
ajst-2154	106	5	points	point	NOUN
ajst-2154	106	6	and	and	CCONJ
ajst-2154	106	7	echo	echo	NOUN
ajst-2154	106	8	numbers	number	NOUN
ajst-2154	106	9	can	can	AUX
ajst-2154	106	10	be	be	AUX
ajst-2154	106	11	obtained	obtain	VERB
ajst-2154	106	12	through	through	ADP
ajst-2154	106	13	experiments	experiment	NOUN
ajst-2154	106	14	by	by	ADP
ajst-2154	106	15	taking	take	VERB
ajst-2154	106	16	the	the	DET
ajst-2154	106	17	values	value	NOUN
ajst-2154	106	18	of	of	ADP
ajst-2154	106	19	linear	linear	ADJ
ajst-2154	106	20	truncation	truncation	NOUN
ajst-2154	106	21	coefficients	coefficient	NOUN
ajst-2154	106	22	corresponding	correspond	VERB
ajst-2154	106	23	to	to	ADP
ajst-2154	106	24	other	other	ADJ
ajst-2154	106	25	values	value	NOUN
ajst-2154	106	26	,	,	PUNCT
ajst-2154	106	27	as	as	SCONJ
ajst-2154	106	28	shown	show	VERB
ajst-2154	106	29	in	in	ADP
ajst-2154	106	30	table	table	NOUN
ajst-2154	106	31	2	2	NUM
ajst-2154	106	32	.	.	PUNCT
ajst-2154	107	1	there	there	PRON
ajst-2154	107	2	is	be	VERB
ajst-2154	107	3	an	an	DET
ajst-2154	107	4	inverse	inverse	NOUN
ajst-2154	107	5	relationship	relationship	NOUN
ajst-2154	107	6	between	between	ADP
ajst-2154	107	7	the	the	DET
ajst-2154	107	8	difference	difference	NOUN
ajst-2154	107	9	of	of	ADP
ajst-2154	107	10	the	the	DET
ajst-2154	107	11	results	result	NOUN
ajst-2154	107	12	of	of	ADP
ajst-2154	107	13	different	different	ADJ
ajst-2154	107	14	truncation	truncation	NOUN
ajst-2154	107	15	methods	method	NOUN
ajst-2154	107	16	and	and	CCONJ
ajst-2154	107	17	the	the	DET
ajst-2154	107	18	snr	snr	NOUN
ajst-2154	107	19	.	.	PUNCT
ajst-2154	108	1	compared	compare	VERB
ajst-2154	108	2	with	with	ADP
ajst-2154	108	3	the	the	DET
ajst-2154	108	4	traditional	traditional	ADJ
ajst-2154	108	5	svd	svd	PROPN
ajst-2154	108	6	algorithm	algorithm	NOUN
ajst-2154	108	7	,	,	PUNCT
ajst-2154	108	8	the	the	DET
ajst-2154	108	9	linear	linear	ADJ
ajst-2154	108	10	truncation	truncation	NOUN
ajst-2154	108	11	algorithm	algorithm	NOUN
ajst-2154	108	12	is	be	AUX
ajst-2154	108	13	more	more	ADV
ajst-2154	108	14	suitable	suitable	ADJ
ajst-2154	108	15	for	for	ADP
ajst-2154	108	16	low	low	ADJ
ajst-2154	108	17	snr	snr	PROPN
ajst-2154	108	18	.	.	PUNCT
ajst-2154	109	1	when	when	SCONJ
ajst-2154	109	2	the	the	DET
ajst-2154	109	3	snr	snr	NOUN
ajst-2154	109	4	is	be	AUX
ajst-2154	109	5	higher	high	ADJ
ajst-2154	109	6	than	than	ADP
ajst-2154	109	7	100	100	NUM
ajst-2154	109	8	,	,	PUNCT
ajst-2154	109	9	the	the	DET
ajst-2154	109	10	inversion	inversion	NOUN
ajst-2154	109	11	results	result	NOUN
ajst-2154	109	12	of	of	ADP
ajst-2154	109	13	both	both	CCONJ
ajst-2154	109	14	the	the	DET
ajst-2154	109	15	traditional	traditional	ADJ
ajst-2154	109	16	svd	svd	PROPN
ajst-2154	109	17	and	and	CCONJ
ajst-2154	109	18	the	the	DET
ajst-2154	109	19	linear	linear	ADJ
ajst-2154	109	20	truncation	truncation	NOUN
ajst-2154	109	21	algorithm	algorithm	NOUN
ajst-2154	109	22	are	be	AUX
ajst-2154	109	23	basically	basically	ADV
ajst-2154	109	24	consistent	consistent	ADJ
ajst-2154	109	25	with	with	ADP
ajst-2154	109	26	the	the	DET
ajst-2154	109	27	real	real	ADJ
ajst-2154	109	28	spectrum	spectrum	NOUN
ajst-2154	109	29	,	,	PUNCT
ajst-2154	109	30	while	while	SCONJ
ajst-2154	109	31	the	the	DET
ajst-2154	109	32	linear	linear	ADJ
ajst-2154	109	33	truncation	truncation	NOUN
ajst-2154	109	34	algorithm	algorithm	NOUN
ajst-2154	109	35	is	be	AUX
ajst-2154	109	36	not	not	PART
ajst-2154	109	37	only	only	ADV
ajst-2154	109	38	suitable	suitable	ADJ
ajst-2154	109	39	for	for	ADP
ajst-2154	109	40	high	high	ADJ
ajst-2154	109	41	snr	snr	NOUN
ajst-2154	109	42	,	,	PUNCT
ajst-2154	109	43	when	when	SCONJ
ajst-2154	109	44	the	the	DET
ajst-2154	109	45	snr	snr	NOUN
ajst-2154	109	46	is	be	AUX
ajst-2154	109	47	not	not	PART
ajst-2154	109	48	less	less	ADJ
ajst-2154	109	49	than	than	ADP
ajst-2154	109	50	10	10	NUM
ajst-2154	109	51	,	,	PUNCT
ajst-2154	109	52	the	the	DET
ajst-2154	109	53	t2	t2	NOUN
ajst-2154	109	54	spectrum	spectrum	NOUN
ajst-2154	109	55	can	can	AUX
ajst-2154	109	56	still	still	ADV
ajst-2154	109	57	be	be	AUX
ajst-2154	109	58	accurately	accurately	ADV
ajst-2154	109	59	reflected	reflect	VERB
ajst-2154	109	60	.	.	PUNCT
ajst-2154	110	1	129	129	NUM
ajst-2154	110	2	布点个数	布点个数	PROPN
ajst-2154	110	3	m	m	NOUN
ajst-2154	110	4	回波个数	回波个数	NOUN
ajst-2154	111	1	n	n	ADV
ajst-2154	112	1	系数	系数	INTJ
ajst-2154	112	2	a	a	PRON
ajst-2154	112	3	系数	系数	INTJ
ajst-2154	112	4	b	b	NOUN
ajst-2154	112	5	13	13	NUM
ajst-2154	112	6	125	125	NUM
ajst-2154	112	7	1	1	NUM
ajst-2154	112	8	31	31	NUM
ajst-2154	112	9	13	13	NUM
ajst-2154	112	10	500	500	NUM
ajst-2154	112	11	1	1	NUM
ajst-2154	112	12	48	48	NUM
ajst-2154	112	13	30	30	NUM
ajst-2154	112	14	125	125	NUM
ajst-2154	112	15	1.1	1.1	NUM
ajst-2154	112	16	65	65	NUM
ajst-2154	112	17	30	30	NUM
ajst-2154	112	18	500	500	NUM
ajst-2154	112	19	1.1	1.1	NUM
ajst-2154	112	20	74	74	NUM
ajst-2154	112	21	50	50	NUM
ajst-2154	112	22	125	125	NUM
ajst-2154	112	23	1.25	1.25	NUM
ajst-2154	112	24	78	78	NUM
ajst-2154	112	25	50	50	NUM
ajst-2154	112	26	500	500	NUM
ajst-2154	112	27	1.25	1.25	NUM
ajst-2154	112	28	80	80	NUM
ajst-2154	112	29	combined	combine	VERB
ajst-2154	112	30	with	with	ADP
ajst-2154	112	31	table	table	NOUN
ajst-2154	112	32	2	2	NUM
ajst-2154	112	33	,	,	PUNCT
ajst-2154	112	34	it	it	PRON
ajst-2154	112	35	can	can	AUX
ajst-2154	112	36	be	be	AUX
ajst-2154	112	37	seen	see	VERB
ajst-2154	112	38	that	that	SCONJ
ajst-2154	112	39	the	the	DET
ajst-2154	112	40	linear	linear	PROPN
ajst-2154	112	41	truncation	truncation	NOUN
ajst-2154	112	42	coefficient	coefficient	NOUN
ajst-2154	112	43	a	a	PRON
ajst-2154	112	44	is	be	AUX
ajst-2154	112	45	not	not	PART
ajst-2154	112	46	much	much	ADV
ajst-2154	112	47	affected	affect	VERB
ajst-2154	112	48	by	by	ADP
ajst-2154	112	49	changes	change	NOUN
ajst-2154	112	50	in	in	ADP
ajst-2154	112	51	the	the	DET
ajst-2154	112	52	number	number	NOUN
ajst-2154	112	53	of	of	ADP
ajst-2154	112	54	distribution	distribution	NOUN
ajst-2154	112	55	points	point	NOUN
ajst-2154	112	56	.	.	PUNCT
ajst-2154	113	1	when	when	SCONJ
ajst-2154	113	2	the	the	DET
ajst-2154	113	3	number	number	NOUN
ajst-2154	113	4	of	of	ADP
ajst-2154	113	5	spots	spot	NOUN
ajst-2154	113	6	increases	increase	NOUN
ajst-2154	113	7	by	by	ADP
ajst-2154	113	8	4	4	NUM
ajst-2154	113	9	times	time	NOUN
ajst-2154	113	10	,	,	PUNCT
ajst-2154	113	11	the	the	DET
ajst-2154	113	12	coefficient	coefficient	NOUN
ajst-2154	113	13	a	a	DET
ajst-2154	113	14	only	only	ADV
ajst-2154	113	15	shows	show	VERB
ajst-2154	113	16	an	an	DET
ajst-2154	113	17	increase	increase	NOUN
ajst-2154	113	18	of	of	ADP
ajst-2154	113	19	1/4	1/4	NUM
ajst-2154	113	20	.	.	PUNCT
ajst-2154	114	1	the	the	DET
ajst-2154	114	2	linear	linear	PROPN
ajst-2154	114	3	truncation	truncation	NOUN
ajst-2154	114	4	coefficient	coefficient	NOUN
ajst-2154	114	5	b	b	NOUN
ajst-2154	114	6	changes	change	VERB
ajst-2154	114	7	greatly	greatly	ADV
ajst-2154	114	8	with	with	ADP
ajst-2154	114	9	the	the	DET
ajst-2154	114	10	increase	increase	NOUN
ajst-2154	114	11	of	of	ADP
ajst-2154	114	12	linear	linear	ADJ
ajst-2154	114	13	truncation	truncation	NOUN
ajst-2154	114	14	coefficient	coefficient	NOUN
ajst-2154	114	15	.	.	PUNCT
ajst-2154	115	1	meanwhile	meanwhile	ADV
ajst-2154	115	2	,	,	PUNCT
ajst-2154	115	3	the	the	DET
ajst-2154	115	4	linear	linear	ADJ
ajst-2154	115	5	truncation	truncation	NOUN
ajst-2154	115	6	coefficient	coefficient	NOUN
ajst-2154	115	7	a	a	PRON
ajst-2154	115	8	is	be	AUX
ajst-2154	115	9	not	not	PART
ajst-2154	115	10	significantly	significantly	ADV
ajst-2154	115	11	affected	affect	VERB
ajst-2154	115	12	by	by	ADP
ajst-2154	115	13	the	the	DET
ajst-2154	115	14	variation	variation	NOUN
ajst-2154	115	15	of	of	ADP
ajst-2154	115	16	the	the	DET
ajst-2154	115	17	number	number	NOUN
ajst-2154	115	18	of	of	ADP
ajst-2154	115	19	echoes	echo	NOUN
ajst-2154	115	20	,	,	PUNCT
ajst-2154	115	21	while	while	SCONJ
ajst-2154	115	22	the	the	DET
ajst-2154	115	23	coefficient	coefficient	NOUN
ajst-2154	115	24	b	b	NOUN
ajst-2154	115	25	is	be	AUX
ajst-2154	115	26	on	on	ADP
ajst-2154	115	27	the	the	DET
ajst-2154	115	28	contrary	contrary	NOUN
ajst-2154	115	29	,	,	PUNCT
ajst-2154	115	30	which	which	PRON
ajst-2154	115	31	is	be	AUX
ajst-2154	115	32	greatly	greatly	ADV
ajst-2154	115	33	affected	affect	VERB
ajst-2154	115	34	.	.	PUNCT
ajst-2154	116	1	it	it	PRON
ajst-2154	116	2	can	can	AUX
ajst-2154	116	3	be	be	AUX
ajst-2154	116	4	seen	see	VERB
ajst-2154	116	5	that	that	SCONJ
ajst-2154	116	6	the	the	DET
ajst-2154	116	7	coefficient	coefficient	NOUN
ajst-2154	116	8	matrix	matrix	NOUN
ajst-2154	116	9	a	a	PRON
ajst-2154	116	10	will	will	AUX
ajst-2154	116	11	change	change	VERB
ajst-2154	116	12	greatly	greatly	ADV
ajst-2154	116	13	when	when	SCONJ
ajst-2154	116	14	the	the	DET
ajst-2154	116	15	number	number	NOUN
ajst-2154	116	16	of	of	ADP
ajst-2154	116	17	scatter	scatter	NOUN
ajst-2154	116	18	points	point	NOUN
ajst-2154	116	19	and	and	CCONJ
ajst-2154	116	20	echo	echo	NOUN
ajst-2154	116	21	numbers	number	NOUN
ajst-2154	116	22	rise	rise	VERB
ajst-2154	116	23	,	,	PUNCT
ajst-2154	116	24	resulting	result	VERB
ajst-2154	116	25	in	in	ADP
ajst-2154	116	26	the	the	DET
ajst-2154	116	27	continuous	continuous	ADJ
ajst-2154	116	28	rise	rise	NOUN
ajst-2154	116	29	of	of	ADP
ajst-2154	116	30	the	the	DET
ajst-2154	116	31	optimal	optimal	ADJ
ajst-2154	116	32	condition	condition	NOUN
ajst-2154	116	33	number	number	NOUN
ajst-2154	116	34	.	.	PUNCT
ajst-2154	117	1	based	base	VERB
ajst-2154	117	2	on	on	ADP
ajst-2154	117	3	the	the	DET
ajst-2154	117	4	experimental	experimental	ADJ
ajst-2154	117	5	data	datum	NOUN
ajst-2154	117	6	,	,	PUNCT
ajst-2154	117	7	the	the	DET
ajst-2154	117	8	relationship	relationship	NOUN
ajst-2154	117	9	between	between	ADP
ajst-2154	117	10	the	the	DET
ajst-2154	117	11	coefficient	coefficient	NOUN
ajst-2154	117	12	and	and	CCONJ
ajst-2154	117	13	the	the	DET
ajst-2154	117	14	number	number	NOUN
ajst-2154	117	15	of	of	ADP
ajst-2154	117	16	scatter	scatter	NOUN
ajst-2154	117	17	points	point	NOUN
ajst-2154	117	18	and	and	CCONJ
ajst-2154	117	19	the	the	DET
ajst-2154	117	20	number	number	NOUN
ajst-2154	117	21	of	of	ADP
ajst-2154	117	22	echoes	echo	NOUN
ajst-2154	117	23	was	be	AUX
ajst-2154	117	24	clarified	clarify	VERB
ajst-2154	117	25	.	.	PUNCT
ajst-2154	118	1	a	a	PRON
ajst-2154	118	2	and	and	CCONJ
ajst-2154	118	3	b	b	NOUN
ajst-2154	118	4	represented	represent	VERB
ajst-2154	118	5	the	the	DET
ajst-2154	118	6	coefficient	coefficient	NOUN
ajst-2154	118	7	,	,	PUNCT
ajst-2154	118	8	m	m	AUX
ajst-2154	118	9	represented	represent	VERB
ajst-2154	118	10	the	the	DET
ajst-2154	118	11	number	number	NOUN
ajst-2154	118	12	of	of	ADP
ajst-2154	118	13	scatter	scatter	NOUN
ajst-2154	118	14	points	point	NOUN
ajst-2154	118	15	,	,	PUNCT
ajst-2154	118	16	and	and	CCONJ
ajst-2154	118	17	n	n	PRON
ajst-2154	118	18	represented	represent	VERB
ajst-2154	118	19	the	the	DET
ajst-2154	118	20	number	number	NOUN
ajst-2154	118	21	of	of	ADP
ajst-2154	118	22	echo	echo	NOUN
ajst-2154	118	23	:	:	PUNCT
ajst-2154	118	24	a	a	DET
ajst-2154	118	25	1	1	NUM
ajst-2154	118	26	0.005	0.005	NUM
ajst-2154	118	27	m	m	NOUN
ajst-2154	118	28	b	b	NOUN
ajst-2154	118	29	35	35	NUM
ajst-2154	118	30	ln	ln	NOUN
ajst-2154	118	31	𝑚	𝑚	PROPN
ajst-2154	118	32	58	58	NUM
ajst-2154	118	33	0.16	0.16	NUM
ajst-2154	118	34	𝑛	𝑛	DET
ajst-2154	118	35	125	125	NUM
ajst-2154	118	36	/√𝑚	/√𝑚	SYM
ajst-2154	118	37	5.2	5.2	NUM
ajst-2154	118	38	.	.	PUNCT
ajst-2154	119	1	handling	handle	VERB
ajst-2154	119	2	of	of	ADP
ajst-2154	119	3	nonnegative	nonnegative	ADJ
ajst-2154	119	4	constraints	constraint	NOUN
ajst-2154	119	5	in	in	ADP
ajst-2154	119	6	the	the	DET
ajst-2154	119	7	process	process	NOUN
ajst-2154	119	8	of	of	ADP
ajst-2154	119	9	non	non	ADJ
ajst-2154	119	10	-	-	ADJ
ajst-2154	119	11	negative	negative	ADJ
ajst-2154	119	12	constraint	constraint	NOUN
ajst-2154	119	13	inversion	inversion	NOUN
ajst-2154	119	14	of	of	ADP
ajst-2154	119	15	singular	singular	ADJ
ajst-2154	119	16	value	value	NOUN
ajst-2154	119	17	,	,	PUNCT
ajst-2154	119	18	the	the	DET
ajst-2154	119	19	minimum	minimum	ADJ
ajst-2154	119	20	solution	solution	NOUN
ajst-2154	119	21	x	x	PRON
ajst-2154	119	22	needs	need	VERB
ajst-2154	119	23	to	to	PART
ajst-2154	119	24	be	be	AUX
ajst-2154	119	25	found	find	VERB
ajst-2154	119	26	.	.	PUNCT
ajst-2154	120	1	if	if	SCONJ
ajst-2154	120	2	the	the	DET
ajst-2154	120	3	solution	solution	NOUN
ajst-2154	120	4	is	be	AUX
ajst-2154	120	5	less	less	ADJ
ajst-2154	120	6	than	than	ADP
ajst-2154	120	7	zero	zero	NUM
ajst-2154	120	8	,	,	PUNCT
ajst-2154	120	9	the	the	DET
ajst-2154	120	10	corresponding	corresponding	ADJ
ajst-2154	120	11	column	column	NOUN
ajst-2154	120	12	of	of	ADP
ajst-2154	120	13	the	the	DET
ajst-2154	120	14	solution	solution	NOUN
ajst-2154	120	15	needs	need	VERB
ajst-2154	120	16	to	to	PART
ajst-2154	120	17	be	be	AUX
ajst-2154	120	18	deleted	delete	VERB
ajst-2154	120	19	from	from	ADP
ajst-2154	120	20	matrix	matrix	NOUN
ajst-2154	120	21	a	a	PRON
ajst-2154	120	22	and	and	CCONJ
ajst-2154	120	23	solved	solve	VERB
ajst-2154	120	24	again	again	ADV
ajst-2154	120	25	until	until	SCONJ
ajst-2154	120	26	the	the	DET
ajst-2154	120	27	minimum	minimum	NOUN
ajst-2154	120	28	x	x	PUNCT
ajst-2154	120	29	is	be	AUX
ajst-2154	120	30	no	no	ADV
ajst-2154	120	31	longer	long	ADV
ajst-2154	120	32	less	less	ADJ
ajst-2154	120	33	than	than	ADP
ajst-2154	120	34	zero	zero	NUM
ajst-2154	120	35	,	,	PUNCT
ajst-2154	120	36	or	or	CCONJ
ajst-2154	120	37	the	the	DET
ajst-2154	120	38	upper	upper	ADJ
ajst-2154	120	39	limit	limit	NOUN
ajst-2154	120	40	of	of	ADP
ajst-2154	120	41	forced	force	VERB
ajst-2154	120	42	decomposition	decomposition	NOUN
ajst-2154	120	43	times	time	NOUN
ajst-2154	120	44	𝐾	𝐾	PROPN
ajst-2154	120	45	is	be	AUX
ajst-2154	120	46	met	meet	VERB
ajst-2154	120	47	.	.	PUNCT
ajst-2154	121	1	the	the	DET
ajst-2154	121	2	specific	specific	ADJ
ajst-2154	121	3	process	process	NOUN
ajst-2154	121	4	is	be	AUX
ajst-2154	121	5	shown	show	VERB
ajst-2154	121	6	in	in	ADP
ajst-2154	121	7	figure	figure	NOUN
ajst-2154	121	8	5	5	NUM
ajst-2154	121	9	.	.	PUNCT
ajst-2154	121	10	figure	figure	NOUN
ajst-2154	121	11	5	5	NUM
ajst-2154	121	12	.	.	PUNCT
ajst-2154	121	13	flow	flow	VERB
ajst-2154	121	14	chart	chart	NOUN
ajst-2154	121	15	of	of	ADP
ajst-2154	121	16	constraints	constraint	NOUN
ajst-2154	121	17	of	of	ADP
ajst-2154	121	18	conventional	conventional	ADJ
ajst-2154	121	19	svd	svd	PROPN
ajst-2154	121	20	algorithm	algorithm	NOUN
ajst-2154	121	21	this	this	DET
ajst-2154	121	22	nonnegative	nonnegative	ADJ
ajst-2154	121	23	constraint	constraint	NOUN
ajst-2154	121	24	method	method	NOUN
ajst-2154	121	25	is	be	AUX
ajst-2154	121	26	easy	easy	ADJ
ajst-2154	121	27	to	to	PART
ajst-2154	121	28	control	control	VERB
ajst-2154	121	29	and	and	CCONJ
ajst-2154	121	30	simple	simple	ADJ
ajst-2154	121	31	to	to	PART
ajst-2154	121	32	implement	implement	VERB
ajst-2154	121	33	.	.	PUNCT
ajst-2154	122	1	however	however	ADV
ajst-2154	122	2	,	,	PUNCT
ajst-2154	122	3	in	in	ADP
ajst-2154	122	4	the	the	DET
ajst-2154	122	5	practical	practical	ADJ
ajst-2154	122	6	application	application	NOUN
ajst-2154	122	7	process	process	NOUN
ajst-2154	122	8	,	,	PUNCT
ajst-2154	122	9	it	it	PRON
ajst-2154	122	10	is	be	AUX
ajst-2154	122	11	also	also	ADV
ajst-2154	122	12	found	find	VERB
ajst-2154	122	13	that	that	SCONJ
ajst-2154	122	14	this	this	DET
ajst-2154	122	15	situation	situation	NOUN
ajst-2154	122	16	sometimes	sometimes	ADV
ajst-2154	122	17	occurs	occur	VERB
ajst-2154	122	18	.	.	PUNCT
ajst-2154	123	1	when	when	SCONJ
ajst-2154	123	2	n(n≥1	n(n≥1	PROPN
ajst-2154	123	3	)	)	PUNCT
ajst-2154	123	4	negative	negative	ADJ
ajst-2154	123	5	solutions	solution	NOUN
ajst-2154	123	6	are	be	AUX
ajst-2154	123	7	obtained	obtain	VERB
ajst-2154	123	8	after	after	ADP
ajst-2154	123	9	the	the	DET
ajst-2154	123	10	kth	kth	PROPN
ajst-2154	123	11	solution	solution	NOUN
ajst-2154	123	12	,	,	PUNCT
ajst-2154	123	13	the	the	DET
ajst-2154	123	14	minimum	minimum	ADJ
ajst-2154	123	15	value	value	NOUN
ajst-2154	123	16	in	in	ADP
ajst-2154	123	17	matrix	matrix	NOUN
ajst-2154	123	18	a	a	PRON
ajst-2154	123	19	is	be	AUX
ajst-2154	123	20	found	find	VERB
ajst-2154	123	21	,	,	PUNCT
ajst-2154	123	22	and	and	CCONJ
ajst-2154	123	23	then	then	ADV
ajst-2154	123	24	its	its	PRON
ajst-2154	123	25	corresponding	corresponding	ADJ
ajst-2154	123	26	column	column	NOUN
ajst-2154	123	27	in	in	ADP
ajst-2154	123	28	matrix	matrix	NOUN
ajst-2154	123	29	a	a	PRON
ajst-2154	123	30	is	be	AUX
ajst-2154	123	31	forcibly	forcibly	ADV
ajst-2154	123	32	removed	remove	VERB
ajst-2154	123	33	.	.	PUNCT
ajst-2154	124	1	in	in	ADP
ajst-2154	124	2	the	the	DET
ajst-2154	124	3	k	k	PROPN
ajst-2154	124	4	1	1	NUM
ajst-2154	124	5	solution	solution	NOUN
ajst-2154	124	6	process	process	NOUN
ajst-2154	124	7	,	,	PUNCT
ajst-2154	124	8	the	the	DET
ajst-2154	124	9	negative	negative	ADJ
ajst-2154	124	10	solutions	solution	NOUN
ajst-2154	124	11	in	in	ADP
ajst-2154	124	12	x	x	X
ajst-2154	124	13	will	will	AUX
ajst-2154	124	14	exceed	exceed	VERB
ajst-2154	124	15	n.	n.	NOUN
ajst-2154	124	16	in	in	ADP
ajst-2154	124	17	this	this	DET
ajst-2154	124	18	case	case	NOUN
ajst-2154	124	19	,	,	PUNCT
ajst-2154	124	20	it	it	PRON
ajst-2154	124	21	can	can	AUX
ajst-2154	124	22	be	be	AUX
ajst-2154	124	23	called	call	VERB
ajst-2154	124	24	"	"	PUNCT
ajst-2154	124	25	nonnegative	nonnegative	ADJ
ajst-2154	124	26	constraint	constraint	NOUN
ajst-2154	124	27	excess	excess	NOUN
ajst-2154	124	28	"	"	PUNCT
ajst-2154	124	29	.	.	PUNCT
ajst-2154	125	1	if	if	SCONJ
ajst-2154	125	2	the	the	DET
ajst-2154	125	3	columns	column	NOUN
ajst-2154	125	4	in	in	ADP
ajst-2154	125	5	matrix	matrix	NOUN
ajst-2154	125	6	a	a	PRON
ajst-2154	125	7	are	be	AUX
ajst-2154	125	8	deleted	delete	VERB
ajst-2154	125	9	improperly	improperly	ADV
ajst-2154	125	10	,	,	PUNCT
ajst-2154	125	11	the	the	DET
ajst-2154	125	12	continuity	continuity	NOUN
ajst-2154	125	13	band	band	NOUN
ajst-2154	125	14	of	of	ADP
ajst-2154	125	15	t2	t2	NOUN
ajst-2154	125	16	spectrum	spectrum	NOUN
ajst-2154	125	17	distribution	distribution	NOUN
ajst-2154	125	18	will	will	AUX
ajst-2154	125	19	be	be	AUX
ajst-2154	125	20	damaged	damage	VERB
ajst-2154	125	21	greatly	greatly	ADV
ajst-2154	125	22	,	,	PUNCT
ajst-2154	125	23	and	and	CCONJ
ajst-2154	125	24	even	even	ADV
ajst-2154	125	25	the	the	DET
ajst-2154	125	26	t2	t2	NOUN
ajst-2154	125	27	spectrum	spectrum	NOUN
ajst-2154	125	28	will	will	AUX
ajst-2154	125	29	be	be	AUX
ajst-2154	125	30	deformed	deform	VERB
ajst-2154	125	31	and	and	CCONJ
ajst-2154	125	32	distorted	distort	VERB
ajst-2154	125	33	.	.	PUNCT
ajst-2154	126	1	it	it	PRON
ajst-2154	126	2	is	be	AUX
ajst-2154	126	3	also	also	ADV
ajst-2154	126	4	difficult	difficult	ADJ
ajst-2154	126	5	to	to	PART
ajst-2154	126	6	control	control	VERB
ajst-2154	126	7	when	when	SCONJ
ajst-2154	126	8	determining	determine	VERB
ajst-2154	126	9	the	the	DET
ajst-2154	126	10	upper	upper	ADJ
ajst-2154	126	11	limit	limit	NOUN
ajst-2154	126	12	of	of	ADP
ajst-2154	126	13	the	the	DET
ajst-2154	126	14	number	number	NOUN
ajst-2154	126	15	of	of	ADP
ajst-2154	126	16	forced	force	VERB
ajst-2154	126	17	decomposition	decomposition	NOUN
ajst-2154	126	18	𝐾	𝐾	PROPN
ajst-2154	126	19	.	.	PUNCT
ajst-2154	127	1	once	once	ADV
ajst-2154	127	2	the	the	DET
ajst-2154	127	3	number	number	NOUN
ajst-2154	127	4	of	of	ADP
ajst-2154	127	5	decomposition	decomposition	NOUN
ajst-2154	127	6	is	be	AUX
ajst-2154	127	7	insufficient	insufficient	ADJ
ajst-2154	127	8	,	,	PUNCT
ajst-2154	127	9	there	there	PRON
ajst-2154	127	10	will	will	AUX
ajst-2154	127	11	be	be	AUX
ajst-2154	127	12	too	too	ADV
ajst-2154	127	13	much	much	ADJ
ajst-2154	127	14	gap	gap	NOUN
ajst-2154	127	15	between	between	ADP
ajst-2154	127	16	the	the	DET
ajst-2154	127	17	inversion	inversion	NOUN
ajst-2154	127	18	spectrum	spectrum	NOUN
ajst-2154	127	19	and	and	CCONJ
ajst-2154	127	20	the	the	DET
ajst-2154	127	21	real	real	ADJ
ajst-2154	127	22	spectrum	spectrum	NOUN
ajst-2154	127	23	.	.	PUNCT
ajst-2154	128	1	on	on	ADP
ajst-2154	128	2	the	the	DET
ajst-2154	128	3	contrary	contrary	NOUN
ajst-2154	128	4	,	,	PUNCT
ajst-2154	128	5	too	too	ADV
ajst-2154	128	6	many	many	ADJ
ajst-2154	128	7	decomposition	decomposition	NOUN
ajst-2154	128	8	times	time	NOUN
ajst-2154	128	9	will	will	AUX
ajst-2154	128	10	affect	affect	VERB
ajst-2154	128	11	the	the	DET
ajst-2154	128	12	inversion	inversion	NOUN
ajst-2154	128	13	speed	speed	NOUN
ajst-2154	128	14	greatly	greatly	ADV
ajst-2154	128	15	.	.	PUNCT
ajst-2154	129	1	in	in	ADP
ajst-2154	129	2	order	order	NOUN
ajst-2154	129	3	to	to	PART
ajst-2154	129	4	solve	solve	VERB
ajst-2154	129	5	the	the	DET
ajst-2154	129	6	above	above	ADJ
ajst-2154	129	7	problems	problem	NOUN
ajst-2154	129	8	,	,	PUNCT
ajst-2154	129	9	lin	lin	PROPN
ajst-2154	129	10	feng	feng	PROPN
ajst-2154	129	11	et	et	PROPN
ajst-2154	129	12	al	al	PROPN
ajst-2154	129	13	.	.	PROPN
ajst-2154	129	14	proposed	propose	VERB
ajst-2154	129	15	an	an	DET
ajst-2154	129	16	improved	improved	ADJ
ajst-2154	129	17	nonnegative	nonnegative	ADJ
ajst-2154	129	18	constraint	constraint	NOUN
ajst-2154	129	19	method	method	NOUN
ajst-2154	129	20	through	through	ADP
ajst-2154	129	21	research	research	NOUN
ajst-2154	129	22	.	.	PUNCT
ajst-2154	130	1	only	only	ADV
ajst-2154	130	2	for	for	ADP
ajst-2154	130	3	matrix	matrix	NOUN
ajst-2154	130	4	a	a	PRON
ajst-2154	130	5	on	on	ADP
ajst-2154	130	6	a	a	DET
ajst-2154	130	7	singular	singular	ADJ
ajst-2154	130	8	value	value	NOUN
ajst-2154	130	9	decomposition	decomposition	NOUN
ajst-2154	130	10	,	,	PUNCT
ajst-2154	130	11	the	the	DET
ajst-2154	130	12	number	number	NOUN
ajst-2154	130	13	of	of	ADP
ajst-2154	130	14	iterations	iteration	NOUN
ajst-2154	130	15	assumed	assume	VERB
ajst-2154	130	16	𝐾	𝐾	PROPN
ajst-2154	130	17	,	,	PUNCT
ajst-2154	130	18	for	for	ADP
ajst-2154	130	19	solving	solve	VERB
ajst-2154	130	20	x	x	PRON
ajst-2154	130	21	,	,	PUNCT
ajst-2154	130	22	at	at	ADP
ajst-2154	130	23	the	the	DET
ajst-2154	130	24	same	same	ADJ
ajst-2154	130	25	time	time	NOUN
ajst-2154	130	26	to	to	PART
ajst-2154	130	27	get	get	VERB
ajst-2154	130	28	the	the	DET
ajst-2154	130	29	minimum	minimum	NOUN
ajst-2154	130	30	x	x	SYM
ajst-2154	130	31	min	min	NOUN
ajst-2154	131	1	x	x	INTJ
ajst-2154	131	2	,	,	PUNCT
ajst-2154	131	3	once	once	ADV
ajst-2154	131	4	x	x	SYM
ajst-2154	131	5	not	not	PART
ajst-2154	131	6	greater	great	ADJ
ajst-2154	131	7	than	than	ADP
ajst-2154	131	8	zero	zero	NUM
ajst-2154	131	9	,	,	PUNCT
ajst-2154	131	10	is	be	AUX
ajst-2154	131	11	forced	force	VERB
ajst-2154	131	12	to	to	PART
ajst-2154	131	13	make	make	VERB
ajst-2154	131	14	x_k	x_k	PROPN
ajst-2154	131	15	zero	zero	NUM
ajst-2154	131	16	and	and	CCONJ
ajst-2154	131	17	gain	gain	VERB
ajst-2154	131	18	new	new	ADJ
ajst-2154	131	19	x	x	NOUN
ajst-2154	131	20	,	,	PUNCT
ajst-2154	131	21	called	call	VERB
ajst-2154	131	22	x	x	PUNCT
ajst-2154	131	23	'	'	PUNCT
ajst-2154	131	24	,	,	PUNCT
ajst-2154	131	25	after	after	SCONJ
ajst-2154	131	26	x	x	NOUN
ajst-2154	131	27	'	'	PUNCT
ajst-2154	131	28	is	be	AUX
ajst-2154	131	29	obtained	obtain	VERB
ajst-2154	131	30	,	,	PUNCT
ajst-2154	131	31	y	y	PROPN
ajst-2154	131	32	ax	ax	NOUN
ajst-2154	131	33	is	be	AUX
ajst-2154	131	34	continued	continue	VERB
ajst-2154	131	35	to	to	PART
ajst-2154	131	36	be	be	AUX
ajst-2154	131	37	solved	solve	VERB
ajst-2154	131	38	until	until	SCONJ
ajst-2154	131	39	all	all	DET
ajst-2154	131	40	solutions	solution	NOUN
ajst-2154	131	41	are	be	AUX
ajst-2154	131	42	greater	great	ADJ
ajst-2154	131	43	than	than	ADP
ajst-2154	131	44	zero	zero	NUM
ajst-2154	131	45	or	or	CCONJ
ajst-2154	131	46	reach	reach	VERB
ajst-2154	131	47	the	the	DET
ajst-2154	131	48	upper	upper	ADJ
ajst-2154	131	49	limit	limit	NOUN
ajst-2154	131	50	of	of	ADP
ajst-2154	131	51	iteration	iteration	NOUN
ajst-2154	131	52	𝐾	𝐾	PROPN
ajst-2154	131	53	.	.	PUNCT
ajst-2154	132	1	the	the	DET
ajst-2154	132	2	flow	flow	NOUN
ajst-2154	132	3	diagram	diagram	NOUN
ajst-2154	132	4	of	of	ADP
ajst-2154	132	5	specific	specific	ADJ
ajst-2154	132	6	methods	method	NOUN
ajst-2154	132	7	is	be	AUX
ajst-2154	132	8	shown	show	VERB
ajst-2154	132	9	in	in	ADP
ajst-2154	132	10	fig	fig	NOUN
ajst-2154	132	11	.	.	PUNCT
ajst-2154	133	1	6	6	X
ajst-2154	133	2	.	.	X
ajst-2154	133	3	figure	figure	NOUN
ajst-2154	133	4	6	6	NUM
ajst-2154	133	5	.	.	PUNCT
ajst-2154	134	1	the	the	DET
ajst-2154	134	2	improved	improved	ADJ
ajst-2154	134	3	inversion	inversion	NOUN
ajst-2154	134	4	algorithm	algorithm	NOUN
ajst-2154	134	5	is	be	AUX
ajst-2154	134	6	a	a	DET
ajst-2154	134	7	nonnegative	nonnegative	ADJ
ajst-2154	134	8	constraint	constraint	NOUN
ajst-2154	134	9	scheme	scheme	NOUN
ajst-2154	134	10	the	the	DET
ajst-2154	134	11	improved	improved	ADJ
ajst-2154	134	12	algorithm	algorithm	NOUN
ajst-2154	134	13	does	do	AUX
ajst-2154	134	14	not	not	PART
ajst-2154	134	15	need	need	VERB
ajst-2154	134	16	to	to	PART
ajst-2154	134	17	do	do	VERB
ajst-2154	134	18	singular	singular	NOUN
ajst-2154	134	19	value	value	NOUN
ajst-2154	134	20	decomposition	decomposition	NOUN
ajst-2154	134	21	repeatedly	repeatedly	ADV
ajst-2154	134	22	,	,	PUNCT
ajst-2154	134	23	so	so	CCONJ
ajst-2154	134	24	the	the	DET
ajst-2154	134	25	inversion	inversion	NOUN
ajst-2154	134	26	speed	speed	NOUN
ajst-2154	134	27	is	be	AUX
ajst-2154	134	28	accelerated	accelerate	VERB
ajst-2154	134	29	.	.	PUNCT
ajst-2154	135	1	however	however	ADV
ajst-2154	135	2	,	,	PUNCT
ajst-2154	135	3	the	the	DET
ajst-2154	135	4	term	term	NOUN
ajst-2154	135	5	less	less	ADJ
ajst-2154	135	6	than	than	ADP
ajst-2154	135	7	zero	zero	NUM
ajst-2154	135	8	in	in	ADP
ajst-2154	135	9	x	x	PROPN
ajst-2154	135	10	is	be	AUX
ajst-2154	135	11	forced	force	VERB
ajst-2154	135	12	to	to	PART
ajst-2154	135	13	bereset	bereset	VERB
ajst-2154	135	14	to	to	ADP
ajst-2154	135	15	zero	zero	NUM
ajst-2154	135	16	and	and	CCONJ
ajst-2154	135	17	then	then	ADV
ajst-2154	135	18	y	y	PROPN
ajst-2154	135	19	is	be	AUX
ajst-2154	135	20	recalculated	recalculate	VERB
ajst-2154	135	21	,	,	PUNCT
ajst-2154	135	22	which	which	PRON
ajst-2154	135	23	will	will	AUX
ajst-2154	135	24	increase	increase	VERB
ajst-2154	135	25	the	the	DET
ajst-2154	135	26	amplitude	amplitude	NOUN
ajst-2154	135	27	of	of	ADP
ajst-2154	135	28	echo	echo	NOUN
ajst-2154	135	29	signal.for	signal.for	ADP
ajst-2154	135	30	many	many	ADJ
ajst-2154	135	31	iterations	iteration	NOUN
ajst-2154	135	32	,	,	PUNCT
ajst-2154	135	33	the	the	DET
ajst-2154	135	34	inversion	inversion	NOUN
ajst-2154	135	35	result	result	NOUN
ajst-2154	135	36	may	may	AUX
ajst-2154	135	37	be	be	AUX
ajst-2154	135	38	far	far	ADV
ajst-2154	135	39	from	from	ADP
ajst-2154	135	40	the	the	DET
ajst-2154	135	41	original	original	ADJ
ajst-2154	135	42	echo	echo	NOUN
ajst-2154	135	43	signal	signal	NOUN
ajst-2154	135	44	.	.	PUNCT
ajst-2154	136	1	in	in	ADP
ajst-2154	136	2	this	this	DET
ajst-2154	136	3	way	way	NOUN
ajst-2154	136	4	,	,	PUNCT
ajst-2154	136	5	the	the	DET
ajst-2154	136	6	calculated	calculate	VERB
ajst-2154	136	7	echo	echo	NOUN
ajst-2154	136	8	will	will	AUX
ajst-2154	136	9	be	be	AUX
ajst-2154	136	10	above	above	ADP
ajst-2154	136	11	the	the	DET
ajst-2154	136	12	spectral	spectral	ADJ
ajst-2154	136	13	graph	graph	NOUN
ajst-2154	136	14	of	of	ADP
ajst-2154	136	15	the	the	DET
ajst-2154	136	16	original	original	ADJ
ajst-2154	136	17	echo	echo	NOUN
ajst-2154	136	18	signal	signal	NOUN
ajst-2154	136	19	,	,	PUNCT
ajst-2154	136	20	resulting	result	VERB
ajst-2154	136	21	in	in	ADP
ajst-2154	136	22	a	a	DET
ajst-2154	136	23	big	big	ADJ
ajst-2154	136	24	deviation	deviation	NOUN
ajst-2154	136	25	of	of	ADP
ajst-2154	136	26	the	the	DET
ajst-2154	136	27	result	result	NOUN
ajst-2154	136	28	.	.	PUNCT
ajst-2154	137	1	in	in	ADP
ajst-2154	137	2	view	view	NOUN
ajst-2154	137	3	of	of	ADP
ajst-2154	137	4	the	the	DET
ajst-2154	137	5	above	above	ADJ
ajst-2154	137	6	phenomena	phenomenon	NOUN
ajst-2154	137	7	,	,	PUNCT
ajst-2154	137	8	this	this	DET
ajst-2154	137	9	paper	paper	NOUN
ajst-2154	137	10	starts	start	VERB
ajst-2154	137	11	from	from	ADP
ajst-2154	137	12	the	the	DET
ajst-2154	137	13	non	non	ADJ
ajst-2154	137	14	-	-	ADJ
ajst-2154	137	15	negative	negative	ADJ
ajst-2154	137	16	constraint	constraint	NOUN
ajst-2154	137	17	mechanism	mechanism	NOUN
ajst-2154	137	18	to	to	PART
ajst-2154	137	19	optimize	optimize	VERB
ajst-2154	137	20	.	.	PUNCT
ajst-2154	138	1	after	after	ADP
ajst-2154	138	2	the	the	DET
ajst-2154	138	3	k	k	PROPN
ajst-2154	138	4	1	1	NUM
ajst-2154	138	5	solution	solution	NOUN
ajst-2154	138	6	,	,	PUNCT
ajst-2154	138	7	the	the	DET
ajst-2154	138	8	following	follow	VERB
ajst-2154	138	9	process	process	NOUN
ajst-2154	138	10	is	be	AUX
ajst-2154	138	11	performed	perform	VERB
ajst-2154	138	12	:	:	PUNCT
ajst-2154	138	13	in	in	ADP
ajst-2154	138	14	the	the	DET
ajst-2154	138	15	first	first	ADJ
ajst-2154	138	16	step	step	NOUN
ajst-2154	138	17	,	,	PUNCT
ajst-2154	138	18	the	the	DET
ajst-2154	138	19	number	number	NOUN
ajst-2154	138	20	of	of	ADP
ajst-2154	138	21	negative	negative	ADJ
ajst-2154	138	22	solutions	solution	NOUN
ajst-2154	138	23	in	in	ADP
ajst-2154	138	24	x	x	PROPN
ajst-2154	138	25	is	be	AUX
ajst-2154	138	26	taken	take	VERB
ajst-2154	138	27	as	as	ADP
ajst-2154	138	28	the	the	DET
ajst-2154	138	29	object	object	NOUN
ajst-2154	138	30	to	to	PART
ajst-2154	138	31	determine	determine	VERB
ajst-2154	138	32	whether	whether	SCONJ
ajst-2154	138	33	the	the	DET
ajst-2154	138	34	number	number	NOUN
ajst-2154	138	35	of	of	ADP
ajst-2154	138	36	negative	negative	ADJ
ajst-2154	138	37	solutions	solution	NOUN
ajst-2154	138	38	in	in	ADP
ajst-2154	138	39	x	x	VERB
ajst-2154	138	40	is	be	AUX
ajst-2154	138	41	less	less	ADJ
ajst-2154	138	42	than	than	ADP
ajst-2154	138	43	the	the	DET
ajst-2154	138	44	number	number	NOUN
ajst-2154	138	45	of	of	ADP
ajst-2154	138	46	negative	negative	ADJ
ajst-2154	138	47	130	130	NUM
ajst-2154	138	48	solutions	solution	NOUN
ajst-2154	138	49	in	in	ADP
ajst-2154	138	50	x	x	PUNCT
ajst-2154	138	51	for	for	ADP
ajst-2154	138	52	the	the	DET
ajst-2154	138	53	kth	kth	PROPN
ajst-2154	138	54	solution	solution	NOUN
ajst-2154	138	55	.	.	PUNCT
ajst-2154	139	1	if	if	SCONJ
ajst-2154	139	2	it	it	PRON
ajst-2154	139	3	is	be	AUX
ajst-2154	139	4	less	less	ADJ
ajst-2154	139	5	than	than	ADP
ajst-2154	139	6	the	the	DET
ajst-2154	139	7	number	number	NOUN
ajst-2154	139	8	of	of	ADP
ajst-2154	139	9	negative	negative	ADJ
ajst-2154	139	10	solutions	solution	NOUN
ajst-2154	139	11	in	in	ADP
ajst-2154	139	12	x	x	PUNCT
ajst-2154	139	13	for	for	ADP
ajst-2154	139	14	the	the	DET
ajst-2154	139	15	kth	kth	PROPN
ajst-2154	139	16	solution	solution	NOUN
ajst-2154	139	17	,	,	PUNCT
ajst-2154	139	18	the	the	DET
ajst-2154	139	19	cycle	cycle	NOUN
ajst-2154	139	20	of	of	ADP
ajst-2154	139	21	solving	solving	NOUN
ajst-2154	139	22	is	be	AUX
ajst-2154	139	23	stopped	stop	VERB
ajst-2154	139	24	,	,	PUNCT
ajst-2154	139	25	and	and	CCONJ
ajst-2154	139	26	the	the	DET
ajst-2154	139	27	negative	negative	ADJ
ajst-2154	139	28	solutions	solution	NOUN
ajst-2154	139	29	in	in	ADP
ajst-2154	139	30	x	x	PUNCT
ajst-2154	139	31	for	for	ADP
ajst-2154	139	32	the	the	DET
ajst-2154	139	33	kth	kth	PROPN
ajst-2154	139	34	solution	solution	NOUN
ajst-2154	139	35	are	be	AUX
ajst-2154	139	36	set	set	VERB
ajst-2154	139	37	to	to	ADP
ajst-2154	139	38	zero	zero	NUM
ajst-2154	139	39	and	and	CCONJ
ajst-2154	139	40	the	the	DET
ajst-2154	139	41	result	result	NOUN
ajst-2154	139	42	is	be	AUX
ajst-2154	139	43	output	output	NOUN
ajst-2154	139	44	.	.	PUNCT
ajst-2154	140	1	second	second	ADV
ajst-2154	140	2	,	,	PUNCT
ajst-2154	140	3	take	take	VERB
ajst-2154	140	4	the	the	DET
ajst-2154	140	5	minimum	minimum	ADJ
ajst-2154	140	6	negative	negative	ADJ
ajst-2154	140	7	solution	solution	NOUN
ajst-2154	140	8	as	as	ADP
ajst-2154	140	9	the	the	DET
ajst-2154	140	10	object	object	NOUN
ajst-2154	140	11	,	,	PUNCT
ajst-2154	140	12	judge	judge	VERB
ajst-2154	140	13	whether	whether	SCONJ
ajst-2154	140	14	the	the	DET
ajst-2154	140	15	minimum	minimum	ADJ
ajst-2154	140	16	negative	negative	ADJ
ajst-2154	140	17	solution	solution	NOUN
ajst-2154	140	18	in	in	ADP
ajst-2154	140	19	x	x	PUNCT
ajst-2154	140	20	is	be	AUX
ajst-2154	140	21	greater	great	ADJ
ajst-2154	140	22	than	than	ADP
ajst-2154	140	23	the	the	DET
ajst-2154	140	24	minimum	minimum	ADJ
ajst-2154	140	25	negative	negative	ADJ
ajst-2154	140	26	solution	solution	NOUN
ajst-2154	140	27	in	in	ADP
ajst-2154	140	28	x	x	NOUN
ajst-2154	140	29	,	,	PUNCT
ajst-2154	140	30	if	if	SCONJ
ajst-2154	140	31	so	so	ADV
ajst-2154	140	32	,	,	PUNCT
ajst-2154	140	33	stop	stop	VERB
ajst-2154	140	34	the	the	DET
ajst-2154	140	35	cycle	cycle	NOUN
ajst-2154	140	36	of	of	ADP
ajst-2154	140	37	solving	solving	NOUN
ajst-2154	140	38	,	,	PUNCT
ajst-2154	140	39	set	set	VERB
ajst-2154	140	40	the	the	DET
ajst-2154	140	41	negative	negative	ADJ
ajst-2154	140	42	solution	solution	NOUN
ajst-2154	140	43	in	in	ADP
ajst-2154	140	44	the	the	DET
ajst-2154	140	45	kth	kth	PROPN
ajst-2154	140	46	solution	solution	NOUN
ajst-2154	140	47	to	to	ADP
ajst-2154	140	48	zero	zero	NUM
ajst-2154	140	49	and	and	CCONJ
ajst-2154	140	50	output	output	VERB
ajst-2154	140	51	the	the	DET
ajst-2154	140	52	result	result	NOUN
ajst-2154	140	53	.	.	PUNCT
ajst-2154	141	1	the	the	DET
ajst-2154	141	2	optimized	optimize	VERB
ajst-2154	141	3	nonnegative	nonnegative	ADJ
ajst-2154	141	4	constraint	constraint	NOUN
ajst-2154	141	5	scheme	scheme	NOUN
ajst-2154	141	6	can	can	AUX
ajst-2154	141	7	greatly	greatly	ADV
ajst-2154	141	8	improve	improve	VERB
ajst-2154	141	9	the	the	DET
ajst-2154	141	10	stability	stability	NOUN
ajst-2154	141	11	of	of	ADP
ajst-2154	141	12	inversion	inversion	NOUN
ajst-2154	141	13	and	and	CCONJ
ajst-2154	141	14	greatly	greatly	ADV
ajst-2154	141	15	reduce	reduce	VERB
ajst-2154	141	16	the	the	DET
ajst-2154	141	17	occurrence	occurrence	NOUN
ajst-2154	141	18	of	of	ADP
ajst-2154	141	19	malformations	malformation	NOUN
ajst-2154	141	20	in	in	ADP
ajst-2154	141	21	the	the	DET
ajst-2154	141	22	spectrogram	spectrogram	NOUN
ajst-2154	141	23	.	.	PUNCT
ajst-2154	142	1	at	at	ADP
ajst-2154	142	2	the	the	DET
ajst-2154	142	3	same	same	ADJ
ajst-2154	142	4	time	time	NOUN
ajst-2154	142	5	,	,	PUNCT
ajst-2154	142	6	because	because	SCONJ
ajst-2154	142	7	the	the	DET
ajst-2154	142	8	possibility	possibility	NOUN
ajst-2154	142	9	of	of	ADP
ajst-2154	142	10	excessive	excessive	ADJ
ajst-2154	142	11	nonnegative	nonnegative	ADJ
ajst-2154	142	12	constraints	constraint	NOUN
ajst-2154	142	13	is	be	AUX
ajst-2154	142	14	reduced	reduce	VERB
ajst-2154	142	15	,	,	PUNCT
ajst-2154	142	16	the	the	DET
ajst-2154	142	17	number	number	NOUN
ajst-2154	142	18	of	of	ADP
ajst-2154	142	19	singular	singular	ADJ
ajst-2154	142	20	value	value	NOUN
ajst-2154	142	21	decomposition	decomposition	NOUN
ajst-2154	142	22	also	also	ADV
ajst-2154	142	23	decreases	decrease	VERB
ajst-2154	142	24	,	,	PUNCT
ajst-2154	142	25	so	so	CCONJ
ajst-2154	142	26	the	the	DET
ajst-2154	142	27	inversion	inversion	NOUN
ajst-2154	142	28	speed	speed	NOUN
ajst-2154	142	29	is	be	AUX
ajst-2154	142	30	improved	improve	VERB
ajst-2154	142	31	.	.	PUNCT
ajst-2154	143	1	in	in	ADP
ajst-2154	143	2	the	the	DET
ajst-2154	143	3	inversion	inversion	NOUN
ajst-2154	143	4	process	process	NOUN
ajst-2154	143	5	of	of	ADP
ajst-2154	143	6	svd	svd	PROPN
ajst-2154	143	7	,	,	PUNCT
ajst-2154	143	8	svd	svd	PROPN
ajst-2154	143	9	of	of	ADP
ajst-2154	143	10	matrix	matrix	NOUN
ajst-2154	144	1	a	a	PRON
ajst-2154	144	2	takes	take	VERB
ajst-2154	144	3	a	a	DET
ajst-2154	144	4	lot	lot	NOUN
ajst-2154	144	5	of	of	ADP
ajst-2154	144	6	time	time	NOUN
ajst-2154	144	7	.	.	PUNCT
ajst-2154	145	1	the	the	DET
ajst-2154	145	2	complexity	complexity	NOUN
ajst-2154	145	3	of	of	ADP
ajst-2154	145	4	decompressing	decompress	VERB
ajst-2154	145	5	matrix	matrix	NOUN
ajst-2154	145	6	a	a	PRON
ajst-2154	145	7	into	into	ADP
ajst-2154	145	8	matrices	matrix	NOUN
ajst-2154	145	9	u	u	NOUN
ajst-2154	145	10	,	,	PUNCT
ajst-2154	145	11	d	d	PROPN
ajst-2154	145	12	and	and	CCONJ
ajst-2154	145	13	v	v	NOUN
ajst-2154	145	14	can	can	AUX
ajst-2154	145	15	be	be	AUX
ajst-2154	145	16	expressed	express	VERB
ajst-2154	145	17	as	as	ADP
ajst-2154	145	18	4	4	NUM
ajst-2154	145	19	m	m	NOUN
ajst-2154	145	20	n	n	NUM
ajst-2154	145	21	8mn	8mn	ADJ
ajst-2154	145	22	9n	9n	NUM
ajst-2154	145	23	flops	flop	NOUN
ajst-2154	145	24	.	.	PUNCT
ajst-2154	146	1	therefore	therefore	ADV
ajst-2154	146	2	,	,	PUNCT
ajst-2154	146	3	in	in	ADP
ajst-2154	146	4	addition	addition	NOUN
ajst-2154	146	5	to	to	ADP
ajst-2154	146	6	the	the	DET
ajst-2154	146	7	size	size	NOUN
ajst-2154	146	8	of	of	ADP
ajst-2154	146	9	matrix	matrix	NOUN
ajst-2154	146	10	a	a	PRON
ajst-2154	146	11	,	,	PUNCT
ajst-2154	146	12	the	the	DET
ajst-2154	146	13	inversion	inversion	NOUN
ajst-2154	146	14	speed	speed	NOUN
ajst-2154	146	15	is	be	AUX
ajst-2154	146	16	also	also	ADV
ajst-2154	146	17	affected	affect	VERB
ajst-2154	146	18	by	by	ADP
ajst-2154	146	19	the	the	DET
ajst-2154	146	20	number	number	NOUN
ajst-2154	146	21	of	of	ADP
ajst-2154	146	22	singular	singular	ADJ
ajst-2154	146	23	value	value	NOUN
ajst-2154	146	24	decomposition	decomposition	NOUN
ajst-2154	146	25	.	.	PUNCT
ajst-2154	147	1	if	if	SCONJ
ajst-2154	147	2	the	the	DET
ajst-2154	147	3	number	number	NOUN
ajst-2154	147	4	of	of	ADP
ajst-2154	147	5	echoes	echo	NOUN
ajst-2154	147	6	and	and	CCONJ
ajst-2154	147	7	the	the	DET
ajst-2154	147	8	distribution	distribution	NOUN
ajst-2154	147	9	scheme	scheme	NOUN
ajst-2154	147	10	are	be	AUX
ajst-2154	147	11	not	not	PART
ajst-2154	147	12	changed	change	VERB
ajst-2154	147	13	,	,	PUNCT
ajst-2154	147	14	it	it	PRON
ajst-2154	147	15	is	be	AUX
ajst-2154	147	16	necessary	necessary	ADJ
ajst-2154	147	17	to	to	PART
ajst-2154	147	18	reduce	reduce	VERB
ajst-2154	147	19	the	the	DET
ajst-2154	147	20	number	number	NOUN
ajst-2154	147	21	of	of	ADP
ajst-2154	147	22	singular	singular	ADJ
ajst-2154	147	23	value	value	NOUN
ajst-2154	147	24	decomposition	decomposition	NOUN
ajst-2154	147	25	(	(	PUNCT
ajst-2154	147	26	svd	svd	PROPN
ajst-2154	147	27	)	)	PUNCT
ajst-2154	147	28	or	or	CCONJ
ajst-2154	147	29	to	to	PART
ajst-2154	147	30	speed	speed	VERB
ajst-2154	147	31	up	up	ADP
ajst-2154	147	32	the	the	DET
ajst-2154	147	33	efficiency	efficiency	NOUN
ajst-2154	147	34	of	of	ADP
ajst-2154	147	35	svd	svd	PROPN
ajst-2154	147	36	in	in	ADP
ajst-2154	147	37	order	order	NOUN
ajst-2154	147	38	to	to	PART
ajst-2154	147	39	improve	improve	VERB
ajst-2154	147	40	the	the	DET
ajst-2154	147	41	inversion	inversion	NOUN
ajst-2154	147	42	speed	speed	NOUN
ajst-2154	147	43	.	.	PUNCT
ajst-2154	148	1	in	in	ADP
ajst-2154	148	2	the	the	DET
ajst-2154	148	3	process	process	NOUN
ajst-2154	148	4	of	of	ADP
ajst-2154	148	5	processing	process	VERB
ajst-2154	148	6	the	the	DET
ajst-2154	148	7	actual	actual	ADJ
ajst-2154	148	8	log	log	NOUN
ajst-2154	148	9	data	datum	NOUN
ajst-2154	148	10	,	,	PUNCT
ajst-2154	148	11	the	the	DET
ajst-2154	148	12	results	result	NOUN
ajst-2154	148	13	of	of	ADP
ajst-2154	148	14	the	the	DET
ajst-2154	148	15	first	first	ADJ
ajst-2154	148	16	singular	singular	ADJ
ajst-2154	148	17	value	value	NOUN
ajst-2154	148	18	decomposition	decomposition	NOUN
ajst-2154	148	19	(	(	PUNCT
ajst-2154	148	20	svd	svd	PROPN
ajst-2154	148	21	)	)	PUNCT
ajst-2154	148	22	were	be	AUX
ajst-2154	148	23	consistent	consistent	ADJ
ajst-2154	148	24	for	for	ADP
ajst-2154	148	25	all	all	DET
ajst-2154	148	26	depth	depth	NOUN
ajst-2154	148	27	data	datum	NOUN
ajst-2154	148	28	after	after	SCONJ
ajst-2154	148	29	the	the	DET
ajst-2154	148	30	placement	placement	NOUN
ajst-2154	148	31	scheme	scheme	NOUN
ajst-2154	148	32	was	be	AUX
ajst-2154	148	33	determined	determine	VERB
ajst-2154	148	34	.	.	PUNCT
ajst-2154	149	1	therefore	therefore	ADV
ajst-2154	149	2	,	,	PUNCT
ajst-2154	149	3	the	the	DET
ajst-2154	149	4	first	first	ADJ
ajst-2154	149	5	result	result	NOUN
ajst-2154	149	6	of	of	ADP
ajst-2154	149	7	all	all	DET
ajst-2154	149	8	points	point	NOUN
ajst-2154	149	9	can	can	AUX
ajst-2154	149	10	be	be	AUX
ajst-2154	149	11	represented	represent	VERB
ajst-2154	149	12	by	by	ADP
ajst-2154	149	13	u	u	NOUN
ajst-2154	149	14	,	,	PUNCT
ajst-2154	149	15	d	d	PROPN
ajst-2154	149	16	and	and	CCONJ
ajst-2154	149	17	v	v	NOUN
ajst-2154	149	18	obtained	obtain	VERB
ajst-2154	149	19	by	by	ADP
ajst-2154	149	20	the	the	DET
ajst-2154	149	21	first	first	ADJ
ajst-2154	149	22	decomposition	decomposition	NOUN
ajst-2154	149	23	.	.	PUNCT
ajst-2154	150	1	in	in	ADP
ajst-2154	150	2	this	this	DET
ajst-2154	150	3	way	way	NOUN
ajst-2154	150	4	,	,	PUNCT
ajst-2154	150	5	the	the	DET
ajst-2154	150	6	number	number	NOUN
ajst-2154	150	7	of	of	ADP
ajst-2154	150	8	singular	singular	ADJ
ajst-2154	150	9	value	value	NOUN
ajst-2154	150	10	decomposition	decomposition	NOUN
ajst-2154	150	11	will	will	AUX
ajst-2154	150	12	decrease	decrease	VERB
ajst-2154	150	13	and	and	CCONJ
ajst-2154	150	14	the	the	DET
ajst-2154	150	15	inversion	inversion	NOUN
ajst-2154	150	16	speed	speed	NOUN
ajst-2154	150	17	will	will	AUX
ajst-2154	150	18	be	be	AUX
ajst-2154	150	19	improved	improve	VERB
ajst-2154	150	20	.	.	PUNCT
ajst-2154	151	1	if	if	SCONJ
ajst-2154	151	2	h	h	NOUN
ajst-2154	151	3	is	be	AUX
ajst-2154	151	4	used	use	VERB
ajst-2154	151	5	to	to	PART
ajst-2154	151	6	represent	represent	VERB
ajst-2154	151	7	the	the	DET
ajst-2154	151	8	well	well	ADJ
ajst-2154	151	9	depth	depth	NOUN
ajst-2154	151	10	and	and	CCONJ
ajst-2154	151	11	l	l	NOUN
ajst-2154	151	12	is	be	AUX
ajst-2154	151	13	used	use	VERB
ajst-2154	151	14	to	to	PART
ajst-2154	151	15	represent	represent	VERB
ajst-2154	151	16	the	the	DET
ajst-2154	151	17	sampling	sampling	NOUN
ajst-2154	151	18	interval	interval	NOUN
ajst-2154	151	19	,	,	PUNCT
ajst-2154	151	20	the	the	DET
ajst-2154	151	21	number	number	NOUN
ajst-2154	151	22	of	of	ADP
ajst-2154	151	23	decompositions	decomposition	NOUN
ajst-2154	151	24	can	can	AUX
ajst-2154	151	25	be	be	AUX
ajst-2154	151	26	reduced	reduce	VERB
ajst-2154	151	27	to	to	ADP
ajst-2154	151	28	h	h	PROPN
ajst-2154	151	29	/	/	SYM
ajst-2154	151	30	l.	l.	PROPN
ajst-2154	151	31	through	through	ADP
ajst-2154	151	32	numerical	numerical	PROPN
ajst-2154	151	33	simulation	simulation	PROPN
ajst-2154	151	34	experiments	experiment	NOUN
ajst-2154	151	35	,	,	PUNCT
ajst-2154	151	36	it	it	PRON
ajst-2154	151	37	is	be	AUX
ajst-2154	151	38	found	find	VERB
ajst-2154	151	39	that	that	SCONJ
ajst-2154	151	40	for	for	ADP
ajst-2154	151	41	most	most	ADJ
ajst-2154	151	42	data	datum	NOUN
ajst-2154	151	43	points	point	NOUN
ajst-2154	151	44	,	,	PUNCT
ajst-2154	151	45	the	the	DET
ajst-2154	151	46	number	number	NOUN
ajst-2154	151	47	of	of	ADP
ajst-2154	151	48	singular	singular	ADJ
ajst-2154	151	49	value	value	NOUN
ajst-2154	151	50	decomposition	decomposition	NOUN
ajst-2154	151	51	is	be	AUX
ajst-2154	151	52	between	between	ADP
ajst-2154	151	53	0	0	NUM
ajst-2154	151	54	and	and	CCONJ
ajst-2154	151	55	5	5	NUM
ajst-2154	151	56	,	,	PUNCT
ajst-2154	151	57	and	and	CCONJ
ajst-2154	151	58	the	the	DET
ajst-2154	151	59	number	number	NOUN
ajst-2154	151	60	of	of	ADP
ajst-2154	151	61	singular	singular	ADJ
ajst-2154	151	62	value	value	NOUN
ajst-2154	151	63	decomposition	decomposition	NOUN
ajst-2154	151	64	can	can	AUX
ajst-2154	151	65	be	be	AUX
ajst-2154	151	66	reduced	reduce	VERB
ajst-2154	151	67	by	by	ADP
ajst-2154	151	68	at	at	ADV
ajst-2154	151	69	least	least	ADV
ajst-2154	151	70	20	20	NUM
ajst-2154	151	71	%	%	NOUN
ajst-2154	151	72	.	.	PUNCT
ajst-2154	152	1	at	at	ADP
ajst-2154	152	2	the	the	DET
ajst-2154	152	3	same	same	ADJ
ajst-2154	152	4	time	time	NOUN
ajst-2154	152	5	,	,	PUNCT
ajst-2154	152	6	the	the	DET
ajst-2154	152	7	upper	upper	ADJ
ajst-2154	152	8	limit	limit	NOUN
ajst-2154	152	9	of	of	ADP
ajst-2154	152	10	the	the	DET
ajst-2154	152	11	number	number	NOUN
ajst-2154	152	12	of	of	ADP
ajst-2154	152	13	mandatory	mandatory	ADJ
ajst-2154	152	14	iterations	iteration	NOUN
ajst-2154	152	15	is	be	AUX
ajst-2154	152	16	set	set	VERB
ajst-2154	152	17	as	as	SCONJ
ajst-2154	152	18	k	k	PROPN
ajst-2154	152	19	m	m	PROPN
ajst-2154	152	20	method	method	NOUN
ajst-2154	152	21	can	can	AUX
ajst-2154	152	22	also	also	ADV
ajst-2154	152	23	achieve	achieve	VERB
ajst-2154	152	24	the	the	DET
ajst-2154	152	25	purpose	purpose	NOUN
ajst-2154	152	26	of	of	ADP
ajst-2154	152	27	reducing	reduce	VERB
ajst-2154	152	28	the	the	DET
ajst-2154	152	29	number	number	NOUN
ajst-2154	152	30	of	of	ADP
ajst-2154	152	31	singular	singular	ADJ
ajst-2154	152	32	value	value	NOUN
ajst-2154	152	33	decomposition	decomposition	NOUN
ajst-2154	152	34	,	,	PUNCT
ajst-2154	152	35	when	when	SCONJ
ajst-2154	152	36	the	the	DET
ajst-2154	152	37	number	number	NOUN
ajst-2154	152	38	of	of	ADP
ajst-2154	152	39	matrix	matrix	NOUN
ajst-2154	152	40	factorization	factorization	NOUN
ajst-2154	152	41	is	be	AUX
ajst-2154	152	42	higher	high	ADJ
ajst-2154	152	43	than	than	ADP
ajst-2154	152	44	m	m	PROPN
ajst-2154	152	45	times	time	NOUN
ajst-2154	152	46	,	,	PUNCT
ajst-2154	152	47	the	the	DET
ajst-2154	152	48	obtained	obtain	VERB
ajst-2154	152	49	solution	solution	NOUN
ajst-2154	152	50	will	will	AUX
ajst-2154	152	51	be	be	AUX
ajst-2154	152	52	forced	force	VERB
ajst-2154	152	53	to	to	ADP
ajst-2154	152	54	zero	zero	NUM
ajst-2154	152	55	.	.	PUNCT
ajst-2154	153	1	fast	fast	ADJ
ajst-2154	153	2	inversion	inversion	NOUN
ajst-2154	153	3	is	be	AUX
ajst-2154	153	4	one	one	NUM
ajst-2154	153	5	of	of	ADP
ajst-2154	153	6	the	the	DET
ajst-2154	153	7	best	good	ADJ
ajst-2154	153	8	methods	method	NOUN
ajst-2154	153	9	for	for	ADP
ajst-2154	153	10	most	most	ADJ
ajst-2154	153	11	operations	operation	NOUN
ajst-2154	153	12	,	,	PUNCT
ajst-2154	153	13	even	even	ADV
ajst-2154	153	14	though	though	SCONJ
ajst-2154	153	15	it	it	PRON
ajst-2154	153	16	may	may	AUX
ajst-2154	153	17	eventually	eventually	ADV
ajst-2154	153	18	result	result	VERB
ajst-2154	153	19	in	in	ADP
ajst-2154	153	20	a	a	DET
ajst-2154	153	21	reduction	reduction	NOUN
ajst-2154	153	22	in	in	ADP
ajst-2154	153	23	the	the	DET
ajst-2154	153	24	resolution	resolution	NOUN
ajst-2154	153	25	of	of	ADP
ajst-2154	153	26	the	the	DET
ajst-2154	153	27	results	result	NOUN
ajst-2154	153	28	.	.	PUNCT
ajst-2154	154	1	figure	figure	VERB
ajst-2154	154	2	7	7	NUM
ajst-2154	154	3	.	.	PUNCT
ajst-2154	154	4	flow	flow	NOUN
ajst-2154	154	5	chart	chart	NOUN
ajst-2154	154	6	of	of	ADP
ajst-2154	154	7	improved	improved	ADJ
ajst-2154	154	8	algorithm	algorithm	NOUN
ajst-2154	154	9	6	6	NUM
ajst-2154	154	10	.	.	PUNCT
ajst-2154	154	11	conclusion	conclusion	NOUN
ajst-2154	154	12	by	by	ADP
ajst-2154	154	13	introducing	introduce	VERB
ajst-2154	154	14	the	the	DET
ajst-2154	154	15	basic	basic	ADJ
ajst-2154	154	16	principle	principle	NOUN
ajst-2154	154	17	of	of	ADP
ajst-2154	154	18	t2	t2	NOUN
ajst-2154	154	19	spectrum	spectrum	NOUN
ajst-2154	154	20	,	,	PUNCT
ajst-2154	154	21	the	the	DET
ajst-2154	154	22	singular	singular	ADJ
ajst-2154	154	23	value	value	NOUN
ajst-2154	154	24	decomposition	decomposition	NOUN
ajst-2154	154	25	method	method	NOUN
ajst-2154	154	26	which	which	PRON
ajst-2154	154	27	is	be	AUX
ajst-2154	154	28	widely	widely	ADV
ajst-2154	154	29	used	use	VERB
ajst-2154	154	30	is	be	AUX
ajst-2154	154	31	chosen	choose	VERB
ajst-2154	154	32	to	to	PART
ajst-2154	154	33	retrieve	retrieve	VERB
ajst-2154	154	34	nmr	nmr	NOUN
ajst-2154	154	35	logging	log	VERB
ajst-2154	154	36	signal	signal	NOUN
ajst-2154	154	37	.	.	PUNCT
ajst-2154	155	1	in	in	ADP
ajst-2154	155	2	essence	essence	NOUN
ajst-2154	155	3	,	,	PUNCT
ajst-2154	155	4	singular	singular	ADJ
ajst-2154	155	5	value	value	NOUN
ajst-2154	155	6	decomposition	decomposition	NOUN
ajst-2154	155	7	(	(	PUNCT
ajst-2154	155	8	svd	svd	PROPN
ajst-2154	155	9	)	)	PUNCT
ajst-2154	155	10	is	be	AUX
ajst-2154	155	11	to	to	PART
ajst-2154	155	12	determine	determine	VERB
ajst-2154	155	13	an	an	DET
ajst-2154	155	14	appropriate	appropriate	ADJ
ajst-2154	155	15	linear	linear	NOUN
ajst-2154	155	16	cut	cut	VERB
ajst-2154	155	17	-	-	PUNCT
ajst-2154	155	18	off	off	ADP
ajst-2154	155	19	value	value	NOUN
ajst-2154	155	20	to	to	PART
ajst-2154	155	21	help	help	VERB
ajst-2154	155	22	determine	determine	VERB
ajst-2154	155	23	the	the	DET
ajst-2154	155	24	condition	condition	NOUN
ajst-2154	155	25	number	number	NOUN
ajst-2154	155	26	of	of	ADP
ajst-2154	155	27	linear	linear	PROPN
ajst-2154	155	28	equations	equation	NOUN
ajst-2154	155	29	,	,	PUNCT
ajst-2154	155	30	and	and	CCONJ
ajst-2154	155	31	then	then	ADV
ajst-2154	155	32	change	change	VERB
ajst-2154	155	33	the	the	DET
ajst-2154	155	34	stability	stability	NOUN
ajst-2154	155	35	of	of	ADP
ajst-2154	155	36	the	the	DET
ajst-2154	155	37	solution	solution	NOUN
ajst-2154	155	38	.	.	PUNCT
ajst-2154	156	1	how	how	SCONJ
ajst-2154	156	2	to	to	PART
ajst-2154	156	3	choose	choose	VERB
ajst-2154	156	4	the	the	DET
ajst-2154	156	5	best	good	ADJ
ajst-2154	156	6	condition	condition	NOUN
ajst-2154	156	7	number	number	NOUN
ajst-2154	156	8	is	be	AUX
ajst-2154	156	9	the	the	DET
ajst-2154	156	10	key	key	NOUN
ajst-2154	156	11	to	to	PART
ajst-2154	156	12	solve	solve	VERB
ajst-2154	156	13	the	the	DET
ajst-2154	156	14	inversion	inversion	NOUN
ajst-2154	156	15	problem	problem	NOUN
ajst-2154	156	16	and	and	CCONJ
ajst-2154	156	17	obtain	obtain	VERB
ajst-2154	156	18	good	good	ADJ
ajst-2154	156	19	inversion	inversion	NOUN
ajst-2154	156	20	results.when	results.when	PROPN
ajst-2154	156	21	the	the	DET
ajst-2154	156	22	snr	snr	NOUN
ajst-2154	156	23	is	be	AUX
ajst-2154	156	24	greater	great	ADJ
ajst-2154	156	25	than	than	ADP
ajst-2154	156	26	5	5	NUM
ajst-2154	156	27	,	,	PUNCT
ajst-2154	156	28	the	the	DET
ajst-2154	156	29	linear	linear	ADJ
ajst-2154	156	30	truncation	truncation	NOUN
ajst-2154	156	31	algorithm	algorithm	NOUN
ajst-2154	156	32	can	can	AUX
ajst-2154	156	33	be	be	AUX
ajst-2154	156	34	used	use	VERB
ajst-2154	156	35	,	,	PUNCT
ajst-2154	156	36	and	and	CCONJ
ajst-2154	156	37	when	when	SCONJ
ajst-2154	156	38	the	the	DET
ajst-2154	156	39	snr	snr	NOUN
ajst-2154	156	40	is	be	AUX
ajst-2154	156	41	very	very	ADV
ajst-2154	156	42	low	low	ADJ
ajst-2154	156	43	,	,	PUNCT
ajst-2154	156	44	the	the	DET
ajst-2154	156	45	authenticity	authenticity	NOUN
ajst-2154	156	46	of	of	ADP
ajst-2154	156	47	the	the	DET
ajst-2154	156	48	relaxation	relaxation	NOUN
ajst-2154	156	49	spectrum	spectrum	NOUN
ajst-2154	156	50	distribution	distribution	NOUN
ajst-2154	156	51	can	can	AUX
ajst-2154	156	52	be	be	AUX
ajst-2154	156	53	well	well	ADV
ajst-2154	156	54	maintained	maintain	VERB
ajst-2154	156	55	.	.	PUNCT
ajst-2154	157	1	when	when	SCONJ
ajst-2154	157	2	the	the	DET
ajst-2154	157	3	snr	snr	NOUN
ajst-2154	157	4	is	be	AUX
ajst-2154	157	5	greater	great	ADJ
ajst-2154	157	6	than	than	ADP
ajst-2154	157	7	30	30	NUM
ajst-2154	157	8	,	,	PUNCT
ajst-2154	157	9	the	the	DET
ajst-2154	157	10	linear	linear	ADJ
ajst-2154	157	11	truncation	truncation	NOUN
ajst-2154	157	12	algorithm	algorithm	NOUN
ajst-2154	157	13	should	should	AUX
ajst-2154	157	14	be	be	AUX
ajst-2154	157	15	used	use	VERB
ajst-2154	157	16	for	for	ADP
ajst-2154	157	17	better	well	ADJ
ajst-2154	157	18	results	result	NOUN
ajst-2154	157	19	.	.	PUNCT
ajst-2154	158	1	when	when	SCONJ
ajst-2154	158	2	the	the	DET
ajst-2154	158	3	snr	snr	NOUN
ajst-2154	158	4	is	be	AUX
ajst-2154	158	5	very	very	ADV
ajst-2154	158	6	low	low	ADJ
ajst-2154	158	7	,	,	PUNCT
ajst-2154	158	8	the	the	DET
ajst-2154	158	9	improved	improved	ADJ
ajst-2154	158	10	algorithm	algorithm	NOUN
ajst-2154	158	11	in	in	ADP
ajst-2154	158	12	this	this	DET
ajst-2154	158	13	paper	paper	NOUN
ajst-2154	158	14	can	can	AUX
ajst-2154	158	15	still	still	ADV
ajst-2154	158	16	keep	keep	VERB
ajst-2154	158	17	the	the	DET
ajst-2154	158	18	authenticity	authenticity	NOUN
ajst-2154	158	19	of	of	ADP
ajst-2154	158	20	the	the	DET
ajst-2154	158	21	relaxation	relaxation	NOUN
ajst-2154	158	22	spectrum	spectrum	NOUN
ajst-2154	158	23	distribution	distribution	NOUN
ajst-2154	158	24	and	and	CCONJ
ajst-2154	158	25	accurately	accurately	ADV
ajst-2154	158	26	reflect	reflect	VERB
ajst-2154	158	27	the	the	DET
ajst-2154	158	28	true	true	ADJ
ajst-2154	158	29	information	information	NOUN
ajst-2154	158	30	of	of	ADP
ajst-2154	158	31	the	the	DET
ajst-2154	158	32	stratum	stratum	NOUN
ajst-2154	158	33	.	.	PUNCT
ajst-2154	159	1	when	when	SCONJ
ajst-2154	159	2	the	the	DET
ajst-2154	159	3	snr	snr	NOUN
ajst-2154	159	4	is	be	AUX
ajst-2154	159	5	lower	low	ADJ
ajst-2154	159	6	than	than	ADP
ajst-2154	159	7	5	5	NUM
ajst-2154	159	8	,	,	PUNCT
ajst-2154	159	9	the	the	DET
ajst-2154	159	10	fixed	fix	VERB
ajst-2154	159	11	number	number	NOUN
ajst-2154	159	12	of	of	ADP
ajst-2154	159	13	retained	retain	VERB
ajst-2154	159	14	singular	singular	ADJ
ajst-2154	159	15	values	value	NOUN
ajst-2154	159	16	is	be	AUX
ajst-2154	159	17	selected	select	VERB
ajst-2154	159	18	,	,	PUNCT
ajst-2154	159	19	and	and	CCONJ
ajst-2154	159	20	the	the	DET
ajst-2154	159	21	inversion	inversion	NOUN
ajst-2154	159	22	effect	effect	NOUN
ajst-2154	159	23	is	be	AUX
ajst-2154	159	24	good	good	ADJ
ajst-2154	159	25	.	.	PUNCT
ajst-2154	160	1	by	by	ADP
ajst-2154	160	2	improving	improve	VERB
ajst-2154	160	3	the	the	DET
ajst-2154	160	4	treatment	treatment	NOUN
ajst-2154	160	5	of	of	ADP
ajst-2154	160	6	nonnegative	nonnegative	ADJ
ajst-2154	160	7	constraints	constraint	NOUN
ajst-2154	160	8	,	,	PUNCT
ajst-2154	160	9	the	the	DET
ajst-2154	160	10	stability	stability	NOUN
ajst-2154	160	11	of	of	ADP
ajst-2154	160	12	the	the	DET
ajst-2154	160	13	adjusted	adjust	VERB
ajst-2154	160	14	inversion	inversion	NOUN
ajst-2154	160	15	is	be	AUX
ajst-2154	160	16	significantly	significantly	ADV
ajst-2154	160	17	improved	improve	VERB
ajst-2154	160	18	,	,	PUNCT
ajst-2154	160	19	which	which	PRON
ajst-2154	160	20	effectively	effectively	ADV
ajst-2154	160	21	improves	improve	VERB
ajst-2154	160	22	the	the	DET
ajst-2154	160	23	problem	problem	NOUN
ajst-2154	160	24	of	of	ADP
ajst-2154	160	25	malformation	malformation	NOUN
ajst-2154	160	26	in	in	ADP
ajst-2154	160	27	the	the	DET
ajst-2154	160	28	spectrum	spectrum	NOUN
ajst-2154	160	29	and	and	CCONJ
ajst-2154	160	30	controls	control	VERB
ajst-2154	160	31	it	it	PRON
ajst-2154	160	32	in	in	ADP
ajst-2154	160	33	the	the	DET
ajst-2154	160	34	minimum	minimum	ADJ
ajst-2154	160	35	range	range	NOUN
ajst-2154	160	36	.	.	PUNCT
ajst-2154	161	1	in	in	ADP
ajst-2154	161	2	addition	addition	NOUN
ajst-2154	161	3	,	,	PUNCT
ajst-2154	161	4	the	the	DET
ajst-2154	161	5	number	number	NOUN
ajst-2154	161	6	of	of	ADP
ajst-2154	161	7	singular	singular	ADJ
ajst-2154	161	8	value	value	NOUN
ajst-2154	161	9	decomposition	decomposition	NOUN
ajst-2154	161	10	decreases	decrease	VERB
ajst-2154	161	11	,	,	PUNCT
ajst-2154	161	12	so	so	CCONJ
ajst-2154	161	13	the	the	DET
ajst-2154	161	14	inversion	inversion	NOUN
ajst-2154	161	15	speed	speed	NOUN
ajst-2154	161	16	will	will	AUX
ajst-2154	161	17	be	be	AUX
ajst-2154	161	18	effectively	effectively	ADV
ajst-2154	161	19	improved	improve	VERB
ajst-2154	161	20	.	.	PUNCT
ajst-2154	162	1	references	reference	NOUN
ajst-2154	162	2	[	[	X
ajst-2154	162	3	1	1	NUM
ajst-2154	162	4	]	]	PUNCT
ajst-2154	162	5	zou	zou	PROPN
ajst-2154	162	6	y	y	PROPN
ajst-2154	162	7	l.	l.	PROPN
ajst-2154	162	8	inversion	inversion	NOUN
ajst-2154	162	9	method	method	NOUN
ajst-2154	162	10	of	of	ADP
ajst-2154	162	11	nmr	nmr	NOUN
ajst-2154	162	12	logging	log	VERB
ajst-2154	162	13	data	datum	NOUN
ajst-2154	162	14	and	and	CCONJ
ajst-2154	162	15	uncertainty	uncertainty	NOUN
ajst-2154	162	16	of	of	ADP
ajst-2154	162	17	t_2	t_2	PROPN
ajst-2154	162	18	spectrum	spectrum	VERB
ajst-2154	162	19	[	[	X
ajst-2154	162	20	d	d	X
ajst-2154	162	21	]	]	X
ajst-2154	162	22	.	.	PUNCT
ajst-2154	163	1	china	china	PROPN
ajst-2154	163	2	university	university	PROPN
ajst-2154	163	3	of	of	ADP
ajst-2154	163	4	petroleum	petroleum	NOUN
ajst-2154	163	5	(	(	PUNCT
ajst-2154	163	6	beijing	beijing	PROPN
ajst-2154	163	7	)	)	PUNCT
ajst-2154	163	8	,	,	PUNCT
ajst-2154	163	9	2016	2016	NUM
ajst-2154	163	10	.	.	PUNCT
ajst-2154	164	1	[	[	X
ajst-2154	164	2	2	2	NUM
ajst-2154	164	3	]	]	X
ajst-2154	164	4	zhang	zhang	PROPN
ajst-2154	164	5	yan	yan	PROPN
ajst-2154	164	6	.	.	PUNCT
ajst-2154	165	1	application	application	NOUN
ajst-2154	165	2	of	of	ADP
ajst-2154	165	3	wavelet	wavelet	NOUN
ajst-2154	165	4	denoising	denoising	NOUN
ajst-2154	165	5	in	in	ADP
ajst-2154	165	6	nmr	nmr	NOUN
ajst-2154	165	7	logging	log	VERB
ajst-2154	165	8	[	[	X
ajst-2154	165	9	d	d	X
ajst-2154	165	10	]	]	X
ajst-2154	165	11	.	.	PUNCT
ajst-2154	166	1	huazhong	huazhong	PROPN
ajst-2154	166	2	university	university	PROPN
ajst-2154	166	3	of	of	ADP
ajst-2154	166	4	science	science	NOUN
ajst-2154	166	5	and	and	CCONJ
ajst-2154	166	6	technology	technology	NOUN
ajst-2154	166	7	,	,	PUNCT
ajst-2154	166	8	2015	2015	NUM
ajst-2154	166	9	.	.	PUNCT
ajst-2154	167	1	[	[	X
ajst-2154	167	2	3	3	NUM
ajst-2154	167	3	]	]	X
ajst-2154	167	4	guo	guo	PROPN
ajst-2154	167	5	zhong	zhong	PROPN
ajst-2154	167	6	-	-	PUNCT
ajst-2154	167	7	hua	hua	PROPN
ajst-2154	167	8	,	,	PUNCT
ajst-2154	167	9	li	li	PROPN
ajst-2154	167	10	shu	shu	PROPN
ajst-2154	167	11	-	-	PUNCT
ajst-2154	167	12	qing	qing	PROPN
ajst-2154	167	13	,	,	PUNCT
ajst-2154	167	14	wang	wang	PROPN
ajst-2154	167	15	lei	lei	PROPN
ajst-2154	167	16	,	,	PUNCT
ajst-2154	167	17	tang	tang	PROPN
ajst-2154	167	18	yan	yan	PROPN
ajst-2154	167	19	-	-	PUNCT
ajst-2154	167	20	wei	wei	PROPN
ajst-2154	167	21	.	.	PROPN
ajst-2154	167	22	improved	improve	VERB
ajst-2154	167	23	wavelet	wavelet	NOUN
ajst-2154	167	24	denoising	denoising	NOUN
ajst-2154	167	25	algorithm	algorithm	NOUN
ajst-2154	167	26	based	base	VERB
ajst-2154	167	27	on	on	ADP
ajst-2154	167	28	adaptive	adaptive	ADJ
ajst-2154	167	29	threshold	threshold	NOUN
ajst-2154	168	1	[	[	X
ajst-2154	168	2	j	j	X
ajst-2154	168	3	]	]	X
ajst-2154	168	4	.	.	PUNCT
ajst-2154	169	1	journal	journal	PROPN
ajst-2154	169	2	of	of	ADP
ajst-2154	169	3	chongqing	chongqing	PROPN
ajst-2154	169	4	university	university	PROPN
ajst-2154	169	5	of	of	ADP
ajst-2154	169	6	posts	post	NOUN
ajst-2154	169	7	and	and	CCONJ
ajst-2154	169	8	telecommunications	telecommunication	NOUN
ajst-2154	169	9	(	(	PUNCT
ajst-2154	169	10	natural	natural	ADJ
ajst-2154	169	11	science	science	NOUN
ajst-2154	169	12	edition	edition	NOUN
ajst-2154	169	13	)	)	PUNCT
ajst-2154	169	14	,	,	PUNCT
ajst-2154	169	15	2015	2015	NUM
ajst-2154	169	16	,	,	PUNCT
ajst-2154	169	17	27(06):740	27(06):740	NOUN
ajst-2154	169	18	-	-	SYM
ajst-2154	169	19	744	744	NUM
ajst-2154	169	20	+	+	NOUN
ajst-2154	169	21	750	750	NUM
ajst-2154	169	22	.	.	PUNCT
ajst-2154	170	1	131	131	NUM
ajst-2154	171	1	[	[	X
ajst-2154	171	2	4	4	NUM
ajst-2154	171	3	]	]	X
ajst-2154	171	4	xiao	xiao	PROPN
ajst-2154	171	5	lizhi	lizhi	PROPN
ajst-2154	171	6	,	,	PUNCT
ajst-2154	171	7	zhang	zhang	PROPN
ajst-2154	171	8	hengrong	hengrong	PROPN
ajst-2154	171	9	,	,	PUNCT
ajst-2154	171	10	liao	liao	PROPN
ajst-2154	171	11	guangzhi	guangzhi	PROPN
ajst-2154	171	12	,	,	PUNCT
ajst-2154	171	13	fu	fu	PROPN
ajst-2154	171	14	shaoqing	shaoqing	NOUN
ajst-2154	171	15	,	,	PUNCT
ajst-2154	171	16	li	li	PROPN
ajst-2154	171	17	kui	kui	PROPN
ajst-2154	171	18	.	.	PUNCT
ajst-2154	172	1	nmr	nmr	NOUN
ajst-2154	172	2	relaxation	relaxation	NOUN
ajst-2154	172	3	inversion	inversion	NOUN
ajst-2154	172	4	of	of	ADP
ajst-2154	172	5	porous	porous	ADJ
ajst-2154	172	6	media	medium	NOUN
ajst-2154	172	7	based	base	VERB
ajst-2154	172	8	on	on	ADP
ajst-2154	172	9	backus	backus	PROPN
ajst-2154	172	10	-	-	PUNCT
ajst-2154	172	11	gilbert	gilbert	PROPN
ajst-2154	172	12	theory	theory	NOUN
ajst-2154	172	13	[	[	X
ajst-2154	172	14	j	j	X
ajst-2154	172	15	]	]	X
ajst-2154	172	16	.	.	PUNCT
ajst-2154	173	1	chinese	chinese	ADJ
ajst-2154	173	2	journal	journal	PROPN
ajst-2154	173	3	of	of	ADP
ajst-2154	173	4	geophysics	geophysic	NOUN
ajst-2154	173	5	,	,	PUNCT
ajst-2154	173	6	2012	2012	NUM
ajst-2154	173	7	,	,	PUNCT
ajst-2154	173	8	55(11):3821	55(11):3821	NUM
ajst-2154	173	9	-	-	SYM
ajst-2154	173	10	3828	3828	NUM
ajst-2154	173	11	.	.	PUNCT
ajst-2154	174	1	[	[	X
ajst-2154	174	2	5	5	NUM
ajst-2154	174	3	]	]	X
ajst-2154	174	4	gao	gao	PROPN
ajst-2154	174	5	yang	yang	PROPN
ajst-2154	174	6	,	,	PUNCT
ajst-2154	174	7	xiao	xiao	PROPN
ajst-2154	174	8	lizhi	lizhi	PROPN
ajst-2154	174	9	.	.	PUNCT
ajst-2154	175	1	inversion	inversion	NOUN
ajst-2154	175	2	of	of	ADP
ajst-2154	175	3	nmr	nmr	NOUN
ajst-2154	175	4	relaxation	relaxation	NOUN
ajst-2154	175	5	time	time	NOUN
ajst-2154	175	6	using	use	VERB
ajst-2154	175	7	improved	improve	VERB
ajst-2154	175	8	truncated	truncate	VERB
ajst-2154	175	9	singular	singular	ADJ
ajst-2154	175	10	value	value	NOUN
ajst-2154	175	11	decomposition	decomposition	NOUN
ajst-2154	176	1	[	[	X
ajst-2154	176	2	j	j	X
ajst-2154	176	3	]	]	X
ajst-2154	176	4	.	.	PUNCT
ajst-2154	177	1	oil	oil	NOUN
ajst-2154	177	2	geophysical	geophysical	ADJ
ajst-2154	177	3	prospecting	prospecting	NOUN
ajst-2154	177	4	,	,	PUNCT
ajst-2154	177	5	2015	2015	NUM
ajst-2154	177	6	,	,	PUNCT
ajst-2154	177	7	50(02):376	50(02):376	NUM
ajst-2154	177	8	-	-	SYM
ajst-2154	177	9	381	381	NUM
ajst-2154	177	10	+	+	NOUN
ajst-2154	177	11	8	8	NUM
ajst-2154	177	12	.	.	PUNCT
ajst-2154	178	1	[	[	X
ajst-2154	178	2	6	6	NUM
ajst-2154	178	3	]	]	X
ajst-2154	178	4	chen	chen	PROPN
ajst-2154	178	5	yuan	yuan	PROPN
ajst-2154	178	6	.	.	PUNCT
ajst-2154	179	1	inversion	inversion	NOUN
ajst-2154	179	2	algorithm	algorithm	NOUN
ajst-2154	179	3	of	of	ADP
ajst-2154	179	4	t2	t2	NOUN
ajst-2154	179	5	spectrum	spectrum	NOUN
ajst-2154	179	6	distribution	distribution	NOUN
ajst-2154	179	7	in	in	ADP
ajst-2154	179	8	nmr	nmr	NOUN
ajst-2154	179	9	logging	log	VERB
ajst-2154	179	10	[	[	X
ajst-2154	179	11	d	d	X
ajst-2154	179	12	]	]	X
ajst-2154	179	13	.	.	PUNCT
ajst-2154	180	1	huazhong	huazhong	PROPN
ajst-2154	180	2	university	university	PROPN
ajst-2154	180	3	of	of	ADP
ajst-2154	180	4	science	science	NOUN
ajst-2154	180	5	and	and	CCONJ
ajst-2154	180	6	technology	technology	NOUN
ajst-2154	180	7	,	,	PUNCT
ajst-2154	180	8	2009	2009	NUM
ajst-2154	180	9	.	.	PUNCT
ajst-2154	181	1	[	[	X
ajst-2154	181	2	7	7	NUM
ajst-2154	181	3	]	]	X
ajst-2154	181	4	li	li	PROPN
ajst-2154	181	5	jing	jing	PROPN
ajst-2154	181	6	.	.	PUNCT
ajst-2154	182	1	research	research	NOUN
ajst-2154	182	2	on	on	ADP
ajst-2154	182	3	t2	t2	NOUN
ajst-2154	182	4	spectrum	spectrum	NOUN
ajst-2154	182	5	inversion	inversion	NOUN
ajst-2154	182	6	algorithm	algorithm	NOUN
ajst-2154	182	7	based	base	VERB
ajst-2154	182	8	on	on	ADP
ajst-2154	182	9	singular	singular	ADJ
ajst-2154	182	10	value	value	NOUN
ajst-2154	182	11	decomposition	decomposition	NOUN
ajst-2154	183	1	[	[	X
ajst-2154	183	2	d	d	X
ajst-2154	183	3	]	]	X
ajst-2154	183	4	.	.	PUNCT
ajst-2154	184	1	northeast	northeast	ADJ
ajst-2154	184	2	petroleum	petroleum	PROPN
ajst-2154	184	3	university	university	NOUN
ajst-2154	184	4	,	,	PUNCT
ajst-2154	184	5	2018	2018	NUM
ajst-2154	184	6	.	.	PUNCT
ajst-2154	185	1	[	[	X
ajst-2154	185	2	8	8	NUM
ajst-2154	185	3	]	]	X
ajst-2154	185	4	zhu	zhu	PROPN
ajst-2154	185	5	b.	b.	PROPN
ajst-2154	185	6	overview	overview	NOUN
ajst-2154	185	7	of	of	ADP
ajst-2154	185	8	development	development	NOUN
ajst-2154	185	9	,	,	PUNCT
ajst-2154	185	10	application	application	NOUN
ajst-2154	185	11	and	and	CCONJ
ajst-2154	185	12	physical	physical	ADJ
ajst-2154	185	13	basis	basis	NOUN
ajst-2154	185	14	of	of	ADP
ajst-2154	185	15	nuclear	nuclear	ADJ
ajst-2154	185	16	magnetic	magnetic	ADJ
ajst-2154	185	17	resonance	resonance	NOUN
ajst-2154	185	18	(	(	PUNCT
ajst-2154	185	19	nmr	nmr	NOUN
ajst-2154	185	20	)	)	PUNCT
ajst-2154	186	1	[	[	X
ajst-2154	186	2	j	j	X
ajst-2154	186	3	]	]	X
ajst-2154	186	4	.	.	PUNCT
ajst-2154	187	1	science	science	NOUN
ajst-2154	187	2	and	and	CCONJ
ajst-2154	187	3	technology	technology	NOUN
ajst-2154	187	4	innovation	innovation	NOUN
ajst-2154	187	5	and	and	CCONJ
ajst-2154	187	6	application	application	NOUN
ajst-2154	187	7	,	,	PUNCT
ajst-2154	187	8	2013(5):11	2013(5):11	NUM
ajst-2154	187	9	-	-	SYM
ajst-2154	187	10	11	11	NUM
ajst-2154	187	11	.	.	PUNCT
ajst-2154	188	1	[	[	X
ajst-2154	188	2	9	9	NUM
ajst-2154	188	3	]	]	X
ajst-2154	188	4	anand	anand	NOUN
ajst-2154	188	5	c	c	PROPN
ajst-2154	188	6	s	s	PROPN
ajst-2154	188	7	,	,	PUNCT
ajst-2154	188	8	sahambi	sahambi	PROPN
ajst-2154	188	9	j	j	PROPN
ajst-2154	188	10	s.	s.	PROPN
ajst-2154	188	11	wavelet	wavelet	PROPN
ajst-2154	188	12	domain	domain	PROPN
ajst-2154	188	13	non	non	ADJ
ajst-2154	188	14	-	-	ADJ
ajst-2154	188	15	linear	linear	ADJ
ajst-2154	188	16	filtering	filtering	NOUN
ajst-2154	188	17	for	for	ADP
ajst-2154	188	18	mri	mri	NOUN
ajst-2154	188	19	denoising.magnetic	denoising.magnetic	ADJ
ajst-2154	188	20	resonance	resonance	NOUN
ajst-2154	188	21	imaging	imaging	NOUN
ajst-2154	188	22	,	,	PUNCT
ajst-2154	188	23	2010,28(6):842	2010,28(6):842	NOUN
ajst-2154	188	24	-	-	SYM
ajst-2154	188	25	861	861	NUM
ajst-2154	188	26	.	.	PUNCT
ajst-2154	189	1	[	[	X
ajst-2154	189	2	10	10	NUM
ajst-2154	189	3	]	]	X
ajst-2154	189	4	zwickl	zwickl	NOUN
ajst-2154	189	5	,	,	PUNCT
ajst-2154	189	6	derrick	derrick	PROPN
ajst-2154	189	7	joel	joel	PROPN
ajst-2154	189	8	,	,	PUNCT
ajst-2154	189	9	phd	phd	PROPN
ajst-2154	189	10	.	.	PUNCT
ajst-2154	189	11	genetic	genetic	ADJ
ajst-2154	189	12	algorithm	algorithm	NOUN
ajst-2154	189	13	approaches	approach	VERB
ajst-2154	189	14	for	for	ADP
ajst-2154	189	15	the	the	DET
ajst-2154	189	16	phylogenetic	phylogenetic	ADJ
ajst-2154	189	17	analysis	analysis	NOUN
ajst-2154	189	18	of	of	ADP
ajst-2154	189	19	large	large	ADJ
ajst-2154	189	20	biological	biological	ADJ
ajst-2154	189	21	sequence	sequence	NOUN
ajst-2154	189	22	datasets	dataset	NOUN
ajst-2154	189	23	under	under	ADP
ajst-2154	189	24	the	the	DET
ajst-2154	189	25	maximum	maximum	ADJ
ajst-2154	189	26	likelihood	likelihood	NOUN
ajst-2154	189	27	criterion[j	criterion[j	PROPN
ajst-2154	189	28	]	]	PUNCT
ajst-2154	189	29	.	.	PUNCT
ajst-2154	190	1	proquest	proquest	PROPN
ajst-2154	190	2	dissertations&theses,2006	dissertations&theses,2006	PROPN
ajst-2154	190	3	.	.	PUNCT
ajst-2154	191	1	[	[	X
ajst-2154	191	2	11	11	NUM
ajst-2154	191	3	]	]	X
ajst-2154	191	4	ma	ma	PROPN
ajst-2154	191	5	s	s	PROPN
ajst-2154	191	6	,	,	PUNCT
ajst-2154	191	7	kong	kong	PROPN
ajst-2154	191	8	l	l	PROPN
ajst-2154	191	9	,	,	PUNCT
ajst-2154	191	10	chen	chen	PROPN
ajst-2154	191	11	j.	j.	PROPN
ajst-2154	191	12	an	an	DET
ajst-2154	191	13	improved	improved	ADJ
ajst-2154	191	14	nmr	nmr	NOUN
ajst-2154	191	15	signal	signal	NOUN
ajst-2154	191	16	de	de	ADJ
ajst-2154	191	17	-	-	ADJ
ajst-2154	191	18	noising	noising	ADJ
ajst-2154	191	19	algorithm	algorithm	NOUN
ajst-2154	191	20	based	base	VERB
ajst-2154	191	21	on	on	ADP
ajst-2154	191	22	wavelet	wavelet	NOUN
ajst-2154	191	23	transform[j].journal	transform[j].journal	PROPN
ajst-2154	191	24	of	of	ADP
ajst-2154	191	25	computational	computational	ADJ
ajst-2154	191	26	information	information	NOUN
ajst-2154	191	27	systems	system	NOUN
ajst-2154	191	28	,	,	PUNCT
ajst-2154	191	29	2011	2011	NUM
ajst-2154	191	30	,	,	PUNCT
ajst-2154	191	31	7(13):46514659	7(13):46514659	NUM
ajst-2154	191	32	.	.	PUNCT
ajst-2154	192	1	[	[	X
ajst-2154	192	2	12	12	NUM
ajst-2154	192	3	]	]	X
ajst-2154	192	4	michael	michael	PROPN
ajst-2154	192	5	prange	prange	PROPN
ajst-2154	192	6	,	,	PUNCT
ajst-2154	192	7	yi	yi	PROPN
ajst-2154	192	8	-	-	PUNCT
ajst-2154	192	9	qiao	qiao	NOUN
ajst-2154	192	10	song	song	NOUN
ajst-2154	192	11	.	.	PUNCT
ajst-2154	193	1	quantifying	quantify	VERB
ajst-2154	193	2	uncertainity	uncertainity	NOUN
ajst-2154	193	3	in	in	ADP
ajst-2154	193	4	nmr	nmr	NOUN
ajst-2154	193	5	t2	t2	PROPN
ajst-2154	193	6	spectra	spectra	NOUN
ajst-2154	193	7	using	use	VERB
ajst-2154	193	8	monte	monte	PROPN
ajst-2154	193	9	carlo	carlo	NOUN
ajst-2154	193	10	inversion	inversion	NOUN
ajst-2154	193	11	.	.	PUNCT
ajst-2154	194	1	journal	journal	NOUN
ajst-2154	194	2	of	of	ADP
ajst-2154	194	3	magnetic	magnetic	ADJ
ajst-2154	194	4	resonance	resonance	NOUN
ajst-2154	194	5	,	,	PUNCT
ajst-2154	194	6	2009	2009	NUM
ajst-2154	194	7	,	,	PUNCT
ajst-2154	194	8	196:54	196:54	NUM
ajst-2154	194	9	-	-	SYM
ajst-2154	194	10	60	60	NUM
ajst-2154	194	11	.	.	PUNCT
ajst-2154	195	1	[	[	X
ajst-2154	195	2	13	13	NUM
ajst-2154	195	3	]	]	PUNCT
ajst-2154	195	4	supriyo	supriyo	PROPN
ajst-2154	195	5	ghosh	ghosh	PROPN
ajst-2154	195	6	,	,	PUNCT
ajst-2154	195	7	kevin	kevin	PROPN
ajst-2154	195	8	m.	m.	PROPN
ajst-2154	195	9	keener	keener	PROPN
ajst-2154	195	10	,	,	PUNCT
ajst-2154	195	11	yong	yong	PROPN
ajst-2154	195	12	pan	pan	PROPN
ajst-2154	195	13	.	.	PROPN
ajst-2154	196	1	a	a	DET
ajst-2154	196	2	simulation	simulation	NOUN
ajst-2154	196	3	based	base	VERB
ajst-2154	196	4	method	method	NOUN
ajst-2154	196	5	to	to	PART
ajst-2154	196	6	assess	assess	VERB
ajst-2154	196	7	inversion	inversion	NOUN
ajst-2154	196	8	algorithm	algorithm	NOUN
ajst-2154	196	9	for	for	ADP
ajst-2154	196	10	transverse	transverse	NOUN
ajst-2154	196	11	relaxation	relaxation	NOUN
ajst-2154	196	12	data	datum	NOUN
ajst-2154	196	13	.	.	PUNCT
ajst-2154	197	1	journal	journal	PROPN
ajst-2154	197	2	of	of	ADP
ajst-2154	197	3	magnetic	magnetic	ADJ
ajst-2154	197	4	resonance	resonance	NOUN
ajst-2154	197	5	,	,	PUNCT
ajst-2154	197	6	2008	2008	NUM
ajst-2154	197	7	,	,	PUNCT
ajst-2154	197	8	191:226	191:226	NOUN
ajst-2154	197	9	-	-	PUNCT
ajst-2154	197	10	230	230	NUM
ajst-2154	197	11	.	.	PUNCT