id	sid	tid	token	lemma	pos
alkej-138	1	1	احمد	احمد	PROPN
alkej-138	1	2	عبد	عبد	PROPN
alkej-138	1	3	الصاحب	الصاحب	PROPN
alkej-138	1	4	al	al	PROPN
alkej-138	1	5	-	-	PUNCT
alkej-138	1	6	khwarizmi	khwarizmi	PROPN
alkej-138	1	7	engineering	engineering	PROPN
alkej-138	1	8	journal	journal	PROPN
alkej-138	1	9	al	al	PROPN
alkej-138	1	10	-	-	PUNCT
alkej-138	1	11	khwarizmi	khwarizmi	PROPN
alkej-138	1	12	engineering	engineering	NOUN
alkej-138	1	13	journal	journal	PROPN
alkej-138	1	14	,	,	PUNCT
alkej-138	1	15	vol	vol	NOUN
alkej-138	1	16	.	.	PROPN
alkej-138	1	17	8	8	NUM
alkej-138	1	18	,	,	PUNCT
alkej-138	1	19	no.3	no.3	VERB
alkej-138	1	20	,	,	PUNCT
alkej-138	1	21	pp	pp	ADP
alkej-138	1	22	5362	5362	NUM
alkej-138	1	23	(	(	PUNCT
alkej-138	1	24	2012	2012	NUM
alkej-138	1	25	)	)	PUNCT
alkej-138	1	26	sub	sub	ADJ
alkej-138	1	27	–	–	PUNCT
alkej-138	1	28	nyquist	nyquist	ADJ
alkej-138	1	29	frequency	frequency	NOUN
alkej-138	1	30	efficient	efficient	ADJ
alkej-138	1	31	audio	audio	NOUN
alkej-138	1	32	compression	compression	NOUN
alkej-138	1	33	ahmed	ahmed	PROPN
alkej-138	1	34	a.	a.	PROPN
alkej-138	1	35	hashim	hashim	PROPN
alkej-138	1	36	department	department	PROPN
alkej-138	1	37	of	of	ADP
alkej-138	1	38	computer/	computer/	PROPN
alkej-138	1	39	college	college	NOUN
alkej-138	1	40	of	of	ADP
alkej-138	1	41	science	science	NOUN
alkej-138	1	42	for	for	ADP
alkej-138	1	43	women/	women/	NUM
alkej-138	1	44	university	university	NOUN
alkej-138	1	45	of	of	ADP
alkej-138	1	46	baghdad	baghdad	PROPN
alkej-138	1	47	email:dreng.ahmed@yahoo.com	email:dreng.ahmed@yahoo.com	PROPN
alkej-138	1	48	(	(	PUNCT
alkej-138	1	49	received	receive	VERB
alkej-138	1	50	17	17	NUM
alkej-138	1	51	april	april	PROPN
alkej-138	1	52	2011	2011	NUM
alkej-138	1	53	;	;	PUNCT
alkej-138	1	54	accepted	accept	VERB
alkej-138	1	55	20	20	NUM
alkej-138	1	56	march	march	NOUN
alkej-138	1	57	2012	2012	NUM
alkej-138	1	58	)	)	PUNCT
alkej-138	1	59	abstract	abstract	ADP
alkej-138	1	60	this	this	DET
alkej-138	1	61	paper	paper	NOUN
alkej-138	1	62	presents	present	VERB
alkej-138	1	63	the	the	DET
alkej-138	1	64	application	application	NOUN
alkej-138	1	65	of	of	ADP
alkej-138	1	66	a	a	DET
alkej-138	1	67	framework	framework	NOUN
alkej-138	1	68	of	of	ADP
alkej-138	1	69	fast	fast	ADJ
alkej-138	1	70	and	and	CCONJ
alkej-138	1	71	efficient	efficient	ADJ
alkej-138	1	72	compressive	compressive	ADJ
alkej-138	1	73	sampling	sampling	NOUN
alkej-138	1	74	based	base	VERB
alkej-138	1	75	on	on	ADP
alkej-138	1	76	the	the	DET
alkej-138	1	77	concept	concept	NOUN
alkej-138	1	78	of	of	ADP
alkej-138	1	79	random	random	ADJ
alkej-138	1	80	sampling	sampling	NOUN
alkej-138	1	81	of	of	ADP
alkej-138	1	82	sparse	sparse	ADJ
alkej-138	1	83	audio	audio	NOUN
alkej-138	1	84	signal	signal	NOUN
alkej-138	1	85	.	.	PUNCT
alkej-138	2	1	it	it	PRON
alkej-138	2	2	provides	provide	VERB
alkej-138	2	3	four	four	NUM
alkej-138	2	4	important	important	ADJ
alkej-138	2	5	features	feature	NOUN
alkej-138	2	6	.	.	PUNCT
alkej-138	3	1	(	(	PUNCT
alkej-138	3	2	i	i	NOUN
alkej-138	3	3	)	)	PUNCT
alkej-138	3	4	it	it	PRON
alkej-138	3	5	is	be	AUX
alkej-138	3	6	universal	universal	ADJ
alkej-138	3	7	with	with	ADP
alkej-138	3	8	a	a	DET
alkej-138	3	9	variety	variety	NOUN
alkej-138	3	10	of	of	ADP
alkej-138	3	11	sparse	sparse	ADJ
alkej-138	3	12	signals	signal	NOUN
alkej-138	3	13	.	.	PUNCT
alkej-138	4	1	(	(	PUNCT
alkej-138	4	2	ii	ii	NOUN
alkej-138	4	3	)	)	PUNCT
alkej-138	4	4	the	the	DET
alkej-138	4	5	number	number	NOUN
alkej-138	4	6	of	of	ADP
alkej-138	4	7	measurements	measurement	NOUN
alkej-138	4	8	required	require	VERB
alkej-138	4	9	for	for	ADP
alkej-138	4	10	exact	exact	ADJ
alkej-138	4	11	reconstruction	reconstruction	NOUN
alkej-138	4	12	is	be	AUX
alkej-138	4	13	nearly	nearly	ADV
alkej-138	4	14	optimal	optimal	ADJ
alkej-138	4	15	and	and	CCONJ
alkej-138	4	16	much	much	ADV
alkej-138	4	17	less	less	ADJ
alkej-138	4	18	then	then	ADV
alkej-138	4	19	the	the	DET
alkej-138	4	20	sampling	sample	VERB
alkej-138	4	21	frequency	frequency	NOUN
alkej-138	4	22	and	and	CCONJ
alkej-138	4	23	below	below	ADP
alkej-138	4	24	the	the	DET
alkej-138	4	25	nyquist	nyquist	NOUN
alkej-138	4	26	frequency	frequency	NOUN
alkej-138	4	27	.	.	PUNCT
alkej-138	5	1	(	(	PUNCT
alkej-138	5	2	iii	iii	X
alkej-138	5	3	)	)	PUNCT
alkej-138	5	4	it	it	PRON
alkej-138	5	5	has	have	VERB
alkej-138	5	6	very	very	ADV
alkej-138	5	7	low	low	ADJ
alkej-138	5	8	complexity	complexity	NOUN
alkej-138	5	9	and	and	CCONJ
alkej-138	5	10	fast	fast	ADJ
alkej-138	5	11	computation	computation	NOUN
alkej-138	5	12	.	.	PUNCT
alkej-138	6	1	(	(	PUNCT
alkej-138	6	2	iv	iv	X
alkej-138	6	3	)	)	PUNCT
alkej-138	6	4	it	it	PRON
alkej-138	6	5	is	be	AUX
alkej-138	6	6	developed	develop	VERB
alkej-138	6	7	on	on	ADP
alkej-138	6	8	the	the	DET
alkej-138	6	9	provable	provable	ADJ
alkej-138	6	10	mathematical	mathematical	ADJ
alkej-138	6	11	model	model	NOUN
alkej-138	6	12	from	from	ADP
alkej-138	6	13	which	which	PRON
alkej-138	6	14	we	we	PRON
alkej-138	6	15	are	be	AUX
alkej-138	6	16	able	able	ADJ
alkej-138	6	17	to	to	PART
alkej-138	6	18	quantify	quantify	VERB
alkej-138	6	19	trade	trade	NOUN
alkej-138	6	20	-	-	PUNCT
alkej-138	6	21	offs	off	NOUN
alkej-138	6	22	among	among	ADP
alkej-138	6	23	streaming	streaming	NOUN
alkej-138	6	24	capability	capability	NOUN
alkej-138	6	25	,	,	PUNCT
alkej-138	6	26	computation	computation	NOUN
alkej-138	6	27	/	/	SYM
alkej-138	6	28	memory	memory	NOUN
alkej-138	6	29	requirement	requirement	NOUN
alkej-138	6	30	and	and	CCONJ
alkej-138	6	31	quality	quality	NOUN
alkej-138	6	32	of	of	ADP
alkej-138	6	33	reconstruction	reconstruction	NOUN
alkej-138	6	34	of	of	ADP
alkej-138	6	35	the	the	DET
alkej-138	6	36	audio	audio	ADJ
alkej-138	6	37	signal	signal	NOUN
alkej-138	6	38	.	.	PUNCT
alkej-138	7	1	compressed	compress	VERB
alkej-138	7	2	sensing	sense	VERB
alkej-138	7	3	cs	cs	PROPN
alkej-138	7	4	is	be	AUX
alkej-138	7	5	an	an	DET
alkej-138	7	6	attractive	attractive	ADJ
alkej-138	7	7	compression	compression	NOUN
alkej-138	7	8	scheme	scheme	NOUN
alkej-138	7	9	due	due	ADP
alkej-138	7	10	to	to	ADP
alkej-138	7	11	its	its	PRON
alkej-138	7	12	universality	universality	NOUN
alkej-138	7	13	and	and	CCONJ
alkej-138	7	14	lack	lack	NOUN
alkej-138	7	15	of	of	ADP
alkej-138	7	16	complexity	complexity	NOUN
alkej-138	7	17	on	on	ADP
alkej-138	7	18	the	the	DET
alkej-138	7	19	sensor	sensor	NOUN
alkej-138	7	20	side	side	NOUN
alkej-138	7	21	.	.	PUNCT
alkej-138	8	1	in	in	ADP
alkej-138	8	2	this	this	DET
alkej-138	8	3	paper	paper	NOUN
alkej-138	8	4	a	a	DET
alkej-138	8	5	study	study	NOUN
alkej-138	8	6	of	of	ADP
alkej-138	8	7	applying	apply	VERB
alkej-138	8	8	compressed	compressed	ADJ
alkej-138	8	9	sensing	sensing	NOUN
alkej-138	8	10	on	on	ADP
alkej-138	8	11	audio	audio	ADJ
alkej-138	8	12	signals	signal	NOUN
alkej-138	8	13	was	be	AUX
alkej-138	8	14	presented	present	VERB
alkej-138	8	15	.	.	PUNCT
alkej-138	9	1	the	the	DET
alkej-138	9	2	performance	performance	NOUN
alkej-138	9	3	of	of	ADP
alkej-138	9	4	different	different	ADJ
alkej-138	9	5	bases	basis	NOUN
alkej-138	9	6	and	and	CCONJ
alkej-138	9	7	its	its	PRON
alkej-138	9	8	reconstruction	reconstruction	NOUN
alkej-138	9	9	are	be	AUX
alkej-138	9	10	investigated	investigate	VERB
alkej-138	9	11	,	,	PUNCT
alkej-138	9	12	as	as	ADV
alkej-138	9	13	well	well	ADV
alkej-138	9	14	as	as	ADP
alkej-138	9	15	exploring	explore	VERB
alkej-138	9	16	its	its	PRON
alkej-138	9	17	performance	performance	NOUN
alkej-138	9	18	.	.	PUNCT
alkej-138	10	1	simulations	simulation	NOUN
alkej-138	10	2	results	result	NOUN
alkej-138	10	3	are	be	AUX
alkej-138	10	4	present	present	ADJ
alkej-138	10	5	to	to	PART
alkej-138	10	6	show	show	VERB
alkej-138	10	7	the	the	DET
alkej-138	10	8	efficient	efficient	ADJ
alkej-138	10	9	reconstruction	reconstruction	NOUN
alkej-138	10	10	of	of	ADP
alkej-138	10	11	sparse	sparse	ADJ
alkej-138	10	12	audio	audio	NOUN
alkej-138	10	13	signal	signal	NOUN
alkej-138	10	14	.	.	PUNCT
alkej-138	11	1	the	the	DET
alkej-138	11	2	results	result	NOUN
alkej-138	11	3	shows	show	VERB
alkej-138	11	4	that	that	SCONJ
alkej-138	11	5	compressed	compressed	ADJ
alkej-138	11	6	sensing	sensing	NOUN
alkej-138	11	7	can	can	AUX
alkej-138	11	8	dramatically	dramatically	ADV
alkej-138	11	9	reduce	reduce	VERB
alkej-138	11	10	the	the	DET
alkej-138	11	11	number	number	NOUN
alkej-138	11	12	of	of	ADP
alkej-138	11	13	samples	sample	NOUN
alkej-138	11	14	below	below	ADP
alkej-138	11	15	the	the	DET
alkej-138	11	16	nyquist	nyquist	NOUN
alkej-138	11	17	rate	rate	NOUN
alkej-138	11	18	keeping	keeping	NOUN
alkej-138	11	19	with	with	ADP
alkej-138	11	20	a	a	DET
alkej-138	11	21	good	good	ADJ
alkej-138	11	22	psnr	psnr	NOUN
alkej-138	11	23	.	.	PUNCT
alkej-138	12	1	keywords	keyword	NOUN
alkej-138	12	2	:	:	PUNCT
alkej-138	12	3	sub	sub	ADJ
alkej-138	12	4	-	-	ADJ
alkej-138	12	5	nyquist	nyquist	ADJ
alkej-138	12	6	sampling	sampling	NOUN
alkej-138	12	7	,	,	PUNCT
alkej-138	12	8	compressive	compressive	ADJ
alkej-138	12	9	sampling	sampling	NOUN
alkej-138	12	10	,	,	PUNCT
alkej-138	12	11	compressed	compressed	ADJ
alkej-138	12	12	sensing	sensing	NOUN
alkej-138	12	13	,	,	PUNCT
alkej-138	12	14	nonlinear	nonlinear	ADJ
alkej-138	12	15	reconstruction	reconstruction	NOUN
alkej-138	12	16	,	,	PUNCT
alkej-138	12	17	random	random	ADJ
alkej-138	12	18	matrices	matrix	NOUN
alkej-138	12	19	.	.	PUNCT
alkej-138	13	1	1	1	X
alkej-138	13	2	.	.	X
alkej-138	13	3	introduction	introduction	NOUN
alkej-138	13	4	the	the	DET
alkej-138	13	5	20th	20th	ADJ
alkej-138	13	6	century	century	NOUN
alkej-138	13	7	has	have	AUX
alkej-138	13	8	seen	see	VERB
alkej-138	13	9	the	the	DET
alkej-138	13	10	development	development	NOUN
alkej-138	13	11	of	of	ADP
alkej-138	13	12	a	a	DET
alkej-138	13	13	huge	huge	ADJ
alkej-138	13	14	variety	variety	NOUN
alkej-138	13	15	of	of	ADP
alkej-138	13	16	sensors	sensor	NOUN
alkej-138	13	17	/	/	SYM
alkej-138	13	18	detectors	detector	NOUN
alkej-138	13	19	acquiring	acquire	VERB
alkej-138	13	20	measurement	measurement	NOUN
alkej-138	13	21	in	in	ADP
alkej-138	13	22	a	a	DET
alkej-138	13	23	faithful	faithful	ADJ
alkej-138	13	24	representation	representation	NOUN
alkej-138	13	25	of	of	ADP
alkej-138	13	26	the	the	DET
alkej-138	13	27	physical	physical	ADJ
alkej-138	13	28	world	world	NOUN
alkej-138	13	29	(	(	PUNCT
alkej-138	13	30	e.g.	e.g.	ADV
alkej-138	13	31	radio	radio	NOUN
alkej-138	13	32	receivers	receiver	NOUN
alkej-138	13	33	,	,	PUNCT
alkej-138	13	34	optical	optical	ADJ
alkej-138	13	35	sensors	sensor	NOUN
alkej-138	13	36	,	,	PUNCT
alkej-138	13	37	seismic	seismic	ADJ
alkej-138	13	38	detector	detector	NOUN
alkej-138	13	39	...	...	PUNCT
alkej-138	13	40	)	)	PUNCT
alkej-138	13	41	.	.	PUNCT
alkej-138	14	1	since	since	SCONJ
alkej-138	14	2	the	the	DET
alkej-138	14	3	purpose	purpose	NOUN
alkej-138	14	4	of	of	ADP
alkej-138	14	5	these	these	DET
alkej-138	14	6	systems	system	NOUN
alkej-138	14	7	was	be	AUX
alkej-138	14	8	to	to	PART
alkej-138	14	9	directly	directly	ADV
alkej-138	14	10	acquire	acquire	VERB
alkej-138	14	11	a	a	DET
alkej-138	14	12	meaningful	meaningful	ADJ
alkej-138	14	13	''	''	PUNCT
alkej-138	14	14	signal	signal	NOUN
alkej-138	14	15	"	"	PUNCT
alkej-138	14	16	,	,	PUNCT
alkej-138	14	17	a	a	DET
alkej-138	14	18	very	very	ADV
alkej-138	14	19	fine	fine	ADJ
alkej-138	14	20	sampling	sampling	NOUN
alkej-138	14	21	of	of	ADP
alkej-138	14	22	this	this	DET
alkej-138	14	23	latter	latter	NOUN
alkej-138	14	24	had	have	VERB
alkej-138	14	25	to	to	PART
alkej-138	14	26	be	be	AUX
alkej-138	14	27	performed	perform	VERB
alkej-138	14	28	.	.	PUNCT
alkej-138	15	1	this	this	PRON
alkej-138	15	2	was	be	AUX
alkej-138	15	3	the	the	DET
alkej-138	15	4	context	context	NOUN
alkej-138	15	5	surrounding	surround	VERB
alkej-138	15	6	the	the	DET
alkej-138	15	7	famous	famous	ADJ
alkej-138	15	8	shannon	shannon	ADJ
alkej-138	15	9	-	-	PUNCT
alkej-138	15	10	nyquist	nyquist	NOUN
alkej-138	15	11	condition	condition	NOUN
alkej-138	15	12	stating	state	VERB
alkej-138	15	13	that	that	SCONJ
alkej-138	15	14	every	every	DET
alkej-138	15	15	continuous	continuous	ADJ
alkej-138	15	16	(	(	PUNCT
alkej-138	15	17	a	a	DET
alkej-138	15	18	priori	priori	ADJ
alkej-138	15	19	)	)	PUNCT
alkej-138	15	20	band	band	NOUN
alkej-138	15	21	-	-	PUNCT
alkej-138	15	22	limited	limit	VERB
alkej-138	15	23	signal	signal	NOUN
alkej-138	15	24	can	can	AUX
alkej-138	15	25	be	be	AUX
alkej-138	15	26	recovered	recover	VERB
alkej-138	15	27	from	from	ADP
alkej-138	15	28	its	its	PRON
alkej-138	15	29	discretization	discretization	NOUN
alkej-138	15	30	if	if	SCONJ
alkej-138	15	31	its	its	PRON
alkej-138	15	32	sampling	sample	VERB
alkej-138	15	33	rate	rate	NOUN
alkej-138	15	34	is	be	AUX
alkej-138	15	35	at	at	ADP
alkej-138	15	36	least	least	ADV
alkej-138	15	37	two	two	NUM
alkej-138	15	38	times	time	NOUN
alkej-138	15	39	greater	great	ADJ
alkej-138	15	40	than	than	ADP
alkej-138	15	41	its	its	PRON
alkej-138	15	42	cutoff	cutoff	NOUN
alkej-138	15	43	frequency	frequency	NOUN
alkej-138	15	44	.	.	PUNCT
alkej-138	16	1	recent	recent	ADJ
alkej-138	16	2	theory	theory	NOUN
alkej-138	16	3	named	name	VERB
alkej-138	16	4	compressed	compressed	ADJ
alkej-138	16	5	sensing	sense	VERB
alkej-138	16	6	(	(	PUNCT
alkej-138	16	7	or	or	CCONJ
alkej-138	16	8	compressive	compressive	ADJ
alkej-138	16	9	sampling	sampling	NOUN
alkej-138	16	10	)	)	PUNCT
alkej-138	17	1	[	[	X
alkej-138	17	2	1	1	NUM
alkej-138	17	3	,	,	PUNCT
alkej-138	17	4	2	2	NUM
alkej-138	17	5	]	]	PUNCT
alkej-138	17	6	states	state	VERB
alkej-138	17	7	that	that	SCONJ
alkej-138	17	8	this	this	PRON
alkej-138	17	9	lower	lower	ADV
alkej-138	17	10	bound	bind	VERB
alkej-138	17	11	on	on	ADP
alkej-138	17	12	the	the	DET
alkej-138	17	13	sampling	sample	VERB
alkej-138	17	14	rate	rate	NOUN
alkej-138	17	15	can	can	AUX
alkej-138	17	16	be	be	AUX
alkej-138	17	17	highly	highly	ADV
alkej-138	17	18	reduced	reduce	VERB
alkej-138	17	19	,	,	PUNCT
alkej-138	17	20	as	as	ADV
alkej-138	17	21	soon	soon	ADV
alkej-138	17	22	as	as	ADP
alkej-138	17	23	,	,	PUNCT
alkej-138	17	24	first	first	ADV
alkej-138	17	25	,	,	PUNCT
alkej-138	17	26	the	the	DET
alkej-138	17	27	sampling	sampling	NOUN
alkej-138	17	28	is	be	AUX
alkej-138	17	29	generalized	generalize	VERB
alkej-138	17	30	to	to	ADP
alkej-138	17	31	any	any	DET
alkej-138	17	32	linear	linear	ADJ
alkej-138	17	33	measurement	measurement	NOUN
alkej-138	17	34	of	of	ADP
alkej-138	17	35	the	the	DET
alkej-138	17	36	signal	signal	NOUN
alkej-138	17	37	,	,	PUNCT
alkej-138	17	38	and	and	CCONJ
alkej-138	17	39	second	second	ADJ
alkej-138	17	40	,	,	PUNCT
alkej-138	17	41	specific	specific	ADJ
alkej-138	17	42	a	a	DET
alkej-138	17	43	priori	priori	ADJ
alkej-138	17	44	hypotheses	hypothesis	NOUN
alkej-138	17	45	on	on	ADP
alkej-138	17	46	the	the	DET
alkej-138	17	47	signal	signal	NOUN
alkej-138	17	48	are	be	AUX
alkej-138	17	49	realized	realize	VERB
alkej-138	17	50	.	.	PUNCT
alkej-138	18	1	more	more	ADV
alkej-138	18	2	precisely	precisely	ADV
alkej-138	18	3	,	,	PUNCT
alkej-138	18	4	the	the	DET
alkej-138	18	5	sensing	sense	VERB
alkej-138	18	6	pace	pace	NOUN
alkej-138	18	7	is	be	AUX
alkej-138	18	8	reduced	reduce	VERB
alkej-138	18	9	to	to	ADP
alkej-138	18	10	a	a	DET
alkej-138	18	11	rate	rate	NOUN
alkej-138	18	12	that	that	PRON
alkej-138	18	13	equals	equal	VERB
alkej-138	18	14	a	a	DET
alkej-138	18	15	few	few	ADJ
alkej-138	18	16	multiple	multiple	NOUN
alkej-138	18	17	of	of	ADP
alkej-138	18	18	the	the	DET
alkej-138	18	19	intrinsic	intrinsic	ADJ
alkej-138	18	20	signal	signal	NOUN
alkej-138	18	21	dimension	dimension	NOUN
alkej-138	18	22	rather	rather	ADV
alkej-138	18	23	than	than	ADP
alkej-138	18	24	the	the	DET
alkej-138	18	25	dimension	dimension	NOUN
alkej-138	18	26	of	of	ADP
alkej-138	18	27	the	the	DET
alkej-138	18	28	embedding	embed	VERB
alkej-138	18	29	space	space	NOUN
alkej-138	18	30	.	.	PUNCT
alkej-138	19	1	technically	technically	ADV
alkej-138	19	2	,	,	PUNCT
alkej-138	19	3	this	this	DET
alkej-138	19	4	simple	simple	ADJ
alkej-138	19	5	statement	statement	NOUN
alkej-138	19	6	is	be	AUX
alkej-138	19	7	a	a	DET
alkej-138	19	8	real	real	ADJ
alkej-138	19	9	revolution	revolution	NOUN
alkej-138	19	10	both	both	CCONJ
alkej-138	19	11	in	in	ADP
alkej-138	19	12	the	the	DET
alkej-138	19	13	physical	physical	ADJ
alkej-138	19	14	design	design	NOUN
alkej-138	19	15	of	of	ADP
alkej-138	19	16	sensors	sensor	NOUN
alkej-138	19	17	and	and	CCONJ
alkej-138	19	18	in	in	ADP
alkej-138	19	19	the	the	DET
alkej-138	19	20	theory	theory	NOUN
alkej-138	19	21	of	of	ADP
alkej-138	19	22	reliable	reliable	ADJ
alkej-138	19	23	signal	signal	NOUN
alkej-138	19	24	sampling	sampling	NOUN
alkej-138	19	25	.	.	PUNCT
alkej-138	20	1	it	it	PRON
alkej-138	20	2	means	mean	VERB
alkej-138	20	3	that	that	SCONJ
alkej-138	20	4	a	a	DET
alkej-138	20	5	"	"	PUNCT
alkej-138	20	6	given	give	VERB
alkej-138	20	7	signal	signal	NOUN
alkej-138	20	8	does	do	AUX
alkej-138	20	9	not	not	PART
alkej-138	20	10	have	have	VERB
alkej-138	20	11	to	to	PART
alkej-138	20	12	be	be	AUX
alkej-138	20	13	acquired	acquire	VERB
alkej-138	20	14	in	in	ADP
alkej-138	20	15	its	its	PRON
alkej-138	20	16	initial	initial	ADJ
alkej-138	20	17	space	space	NOUN
alkej-138	20	18	as	as	ADP
alkej-138	20	19	previously	previously	ADV
alkej-138	20	20	,	,	PUNCT
alkej-138	20	21	but	but	CCONJ
alkej-138	20	22	it	it	PRON
alkej-138	20	23	can	can	AUX
alkej-138	20	24	really	really	ADV
alkej-138	20	25	be	be	AUX
alkej-138	20	26	observed	observe	VERB
alkej-138	20	27	through	through	ADP
alkej-138	20	28	a	a	DET
alkej-138	20	29	"	"	PUNCT
alkej-138	20	30	distorting	distort	VERB
alkej-138	20	31	glass	glass	NOUN
alkej-138	20	32	"	"	PUNCT
alkej-138	20	33	(	(	PUNCT
alkej-138	20	34	providing	provide	VERB
alkej-138	20	35	it	it	PRON
alkej-138	20	36	is	be	AUX
alkej-138	20	37	linear	linear	ADJ
alkej-138	20	38	)	)	PUNCT
alkej-138	20	39	with	with	ADP
alkej-138	20	40	fewer	few	ADJ
alkej-138	20	41	measurements	measurement	NOUN
alkej-138	20	42	"	"	PUNCT
alkej-138	20	43	.	.	PUNCT
alkej-138	21	1	the	the	DET
alkej-138	21	2	history	history	NOUN
alkej-138	21	3	of	of	ADP
alkej-138	21	4	compressed	compressed	ADJ
alkej-138	21	5	sensing	sensing	NOUN
alkej-138	21	6	has	have	AUX
alkej-138	21	7	started	start	VERB
alkej-138	21	8	in	in	ADP
alkej-138	21	9	2006	2006	NUM
alkej-138	21	10	by	by	ADP
alkej-138	21	11	the	the	DET
alkej-138	21	12	seminal	seminal	ADJ
alkej-138	21	13	works	work	NOUN
alkej-138	21	14	of	of	ADP
alkej-138	21	15	d.	d.	PROPN
alkej-138	21	16	donoho	donoho	PROPN
alkej-138	21	17	,	,	PUNCT
alkej-138	21	18	e.	e.	PROPN
alkej-138	21	19	cande	cande	PROPN
alkej-138	21	20	's	's	PART
alkej-138	21	21	,	,	PUNCT
alkej-138	21	22	t.	t.	PROPN
alkej-138	21	23	tao	tao	PROPN
alkej-138	21	24	and	and	CCONJ
alkej-138	21	25	j.	j.	PROPN
alkej-138	21	26	romberg	romberg	PROPN
alkej-138	22	1	[	[	X
alkej-138	22	2	3	3	NUM
alkej-138	22	3	,	,	PUNCT
alkej-138	22	4	4	4	NUM
alkej-138	22	5	]	]	PUNCT
alkej-138	22	6	,	,	PUNCT
alkej-138	22	7	even	even	ADV
alkej-138	22	8	if	if	SCONJ
alkej-138	22	9	some	some	PRON
alkej-138	22	10	of	of	ADP
alkej-138	22	11	its	its	PRON
alkej-138	22	12	founding	found	VERB
alkej-138	22	13	concepts	concept	NOUN
alkej-138	22	14	,	,	PUNCT
alkej-138	22	15	e.g.	e.g.	ADV
alkej-138	22	16	sparse	sparse	ADJ
alkej-138	22	17	recovery	recovery	NOUN
alkej-138	22	18	by	by	ADP
alkej-138	22	19	convex	convex	PROPN
alkej-138	22	20	optimization	optimization	NOUN
alkej-138	22	21	,	,	PUNCT
alkej-138	22	22	were	be	AUX
alkej-138	22	23	known	know	VERB
alkej-138	22	24	from	from	ADP
alkej-138	22	25	several	several	ADJ
alkej-138	22	26	decades	decade	NOUN
alkej-138	22	27	.	.	PUNCT
alkej-138	23	1	cs	cs	PROPN
alkej-138	23	2	has	have	AUX
alkej-138	23	3	actually	actually	ADV
alkej-138	23	4	emerged	emerge	VERB
alkej-138	23	5	and	and	CCONJ
alkej-138	23	6	grown	grow	VERB
alkej-138	23	7	from	from	ADP
alkej-138	23	8	the	the	DET
alkej-138	23	9	rich	rich	ADJ
alkej-138	23	10	multidisciplinary	multidisciplinary	ADJ
alkej-138	23	11	hotbed	hotbed	NOUN
alkej-138	23	12	of	of	ADP
alkej-138	23	13	information	information	NOUN
alkej-138	23	14	and	and	CCONJ
alkej-138	23	15	sampling	sample	VERB
alkej-138	23	16	theory	theory	NOUN
alkej-138	23	17	,	,	PUNCT
alkej-138	23	18	inverse	inverse	NOUN
alkej-138	23	19	problems	problem	NOUN
alkej-138	23	20	solving	solve	VERB
alkej-138	23	21	,	,	PUNCT
alkej-138	23	22	statistics	statistic	NOUN
alkej-138	23	23	and	and	CCONJ
alkej-138	23	24	measure	measure	NOUN
alkej-138	23	25	concentration	concentration	NOUN
alkej-138	23	26	,	,	PUNCT
alkej-138	23	27	graph	graph	NOUN
alkej-138	23	28	theory	theory	NOUN
alkej-138	23	29	,	,	PUNCT
alkej-138	23	30	and	and	CCONJ
alkej-138	23	31	highdimensional	highdimensional	NOUN
alkej-138	23	32	(	(	PUNCT
alkej-138	23	33	polytope	polytope	NOUN
alkej-138	23	34	)	)	PUNCT
alkej-138	23	35	geometry	geometry	NOUN
alkej-138	23	36	.	.	PUNCT
alkej-138	24	1	in	in	ADP
alkej-138	24	2	this	this	DET
alkej-138	24	3	paper	paper	NOUN
alkej-138	24	4	i	i	PRON
alkej-138	24	5	present	present	VERB
alkej-138	24	6	a	a	DET
alkej-138	24	7	study	study	NOUN
alkej-138	24	8	of	of	ADP
alkej-138	24	9	the	the	DET
alkej-138	24	10	performance	performance	NOUN
alkej-138	24	11	of	of	ADP
alkej-138	24	12	cs	cs	PROPN
alkej-138	24	13	for	for	ADP
alkej-138	24	14	a	a	DET
alkej-138	24	15	variety	variety	NOUN
alkej-138	24	16	of	of	ADP
alkej-138	24	17	audio	audio	ADJ
alkej-138	24	18	signals	signal	NOUN
alkej-138	24	19	and	and	CCONJ
alkej-138	24	20	illustration	illustration	NOUN
alkej-138	24	21	the	the	DET
alkej-138	24	22	differences	difference	NOUN
alkej-138	24	23	in	in	ADP
alkej-138	24	24	performance	performance	NOUN
alkej-138	24	25	mailto:dreng.ahmed@yahoo.com	mailto:dreng.ahmed@yahoo.com	X
alkej-138	24	26	ahmed	ahmed	PROPN
alkej-138	24	27	a.	a.	PROPN
alkej-138	24	28	hashim	hashim	PROPN
alkej-138	24	29	al	al	PROPN
alkej-138	24	30	-	-	PUNCT
alkej-138	24	31	khwarizmi	khwarizmi	PROPN
alkej-138	24	32	engineering	engineering	NOUN
alkej-138	24	33	journal	journal	PROPN
alkej-138	24	34	,	,	PUNCT
alkej-138	24	35	vol	vol	NOUN
alkej-138	24	36	.	.	PROPN
alkej-138	24	37	8	8	NUM
alkej-138	24	38	,	,	PUNCT
alkej-138	24	39	no.3	no.3	VERB
alkej-138	24	40	,	,	PUNCT
alkej-138	24	41	pp	pp	ADP
alkej-138	24	42	5362	5362	NUM
alkej-138	24	43	(	(	PUNCT
alkej-138	24	44	2012	2012	NUM
alkej-138	24	45	)	)	PUNCT
alkej-138	24	46	54	54	NUM
alkej-138	24	47	depending	depend	VERB
alkej-138	24	48	on	on	ADP
alkej-138	24	49	the	the	DET
alkej-138	24	50	basis	basis	NOUN
alkej-138	24	51	and	and	CCONJ
alkej-138	24	52	the	the	DET
alkej-138	24	53	reconstruction	reconstruction	NOUN
alkej-138	24	54	algorithm	algorithm	NOUN
alkej-138	24	55	used	use	VERB
alkej-138	24	56	.	.	PUNCT
alkej-138	25	1	2	2	X
alkej-138	25	2	.	.	NUM
alkej-138	25	3	compressed	compress	VERB
alkej-138	25	4	sensing	sense	VERB
alkej-138	25	5	the	the	DET
alkej-138	25	6	nyquist	nyquist	NOUN
alkej-138	25	7	-	-	PUNCT
alkej-138	25	8	shannon	shannon	NOUN
alkej-138	25	9	sampling	sampling	NOUN
alkej-138	25	10	theorem	theorem	ADJ
alkej-138	25	11	states	state	NOUN
alkej-138	25	12	that	that	PRON
alkej-138	25	13	to	to	PART
alkej-138	25	14	restore	restore	VERB
alkej-138	25	15	a	a	DET
alkej-138	25	16	signal	signal	NOUN
alkej-138	25	17	exactly	exactly	ADV
alkej-138	25	18	and	and	CCONJ
alkej-138	25	19	uniquely	uniquely	ADV
alkej-138	25	20	,	,	PUNCT
alkej-138	25	21	you	you	PRON
alkej-138	25	22	need	need	VERB
alkej-138	25	23	to	to	PART
alkej-138	25	24	have	have	AUX
alkej-138	25	25	sampled	sample	VERB
alkej-138	25	26	with	with	ADP
alkej-138	25	27	at	at	ADV
alkej-138	25	28	least	least	ADJ
alkej-138	25	29	twice	twice	DET
alkej-138	25	30	its	its	PRON
alkej-138	25	31	frequency	frequency	NOUN
alkej-138	25	32	.	.	PUNCT
alkej-138	26	1	of	of	ADP
alkej-138	26	2	course	course	NOUN
alkej-138	26	3	,	,	PUNCT
alkej-138	26	4	this	this	DET
alkej-138	26	5	theorem	theorem	NOUN
alkej-138	26	6	is	be	AUX
alkej-138	26	7	still	still	ADV
alkej-138	26	8	valid	valid	ADJ
alkej-138	26	9	;	;	PUNCT
alkej-138	26	10	if	if	SCONJ
alkej-138	26	11	you	you	PRON
alkej-138	26	12	skip	skip	VERB
alkej-138	26	13	one	one	NUM
alkej-138	26	14	byte	byte	NOUN
alkej-138	26	15	in	in	ADP
alkej-138	26	16	a	a	DET
alkej-138	26	17	signal	signal	NOUN
alkej-138	26	18	or	or	CCONJ
alkej-138	26	19	image	image	NOUN
alkej-138	26	20	of	of	ADP
alkej-138	26	21	white	white	ADJ
alkej-138	26	22	noise	noise	NOUN
alkej-138	26	23	,	,	PUNCT
alkej-138	26	24	you	you	PRON
alkej-138	26	25	can	can	AUX
alkej-138	26	26	not	not	PART
alkej-138	26	27	restore	restore	VERB
alkej-138	26	28	the	the	DET
alkej-138	26	29	original	original	NOUN
alkej-138	26	30	.	.	PUNCT
alkej-138	27	1	but	but	CCONJ
alkej-138	27	2	most	most	ADV
alkej-138	27	3	interesting	interesting	ADJ
alkej-138	27	4	signals	signal	NOUN
alkej-138	27	5	and	and	CCONJ
alkej-138	27	6	images	image	NOUN
alkej-138	27	7	are	be	AUX
alkej-138	27	8	not	not	PART
alkej-138	27	9	white	white	ADJ
alkej-138	27	10	noise	noise	NOUN
alkej-138	27	11	.	.	PUNCT
alkej-138	28	1	when	when	SCONJ
alkej-138	28	2	represented	represent	VERB
alkej-138	28	3	in	in	ADP
alkej-138	28	4	terms	term	NOUN
alkej-138	28	5	of	of	ADP
alkej-138	28	6	appropriate	appropriate	ADJ
alkej-138	28	7	basis	basis	NOUN
alkej-138	28	8	functions	function	NOUN
alkej-138	28	9	,	,	PUNCT
alkej-138	28	10	such	such	ADJ
alkej-138	28	11	as	as	ADP
alkej-138	28	12	trig	trig	ADJ
alkej-138	28	13	functions	function	NOUN
alkej-138	28	14	or	or	CCONJ
alkej-138	28	15	wavelets	wavelet	NOUN
alkej-138	28	16	,	,	PUNCT
alkej-138	28	17	many	many	ADJ
alkej-138	28	18	signals	signal	NOUN
alkej-138	28	19	have	have	VERB
alkej-138	28	20	relatively	relatively	ADV
alkej-138	28	21	few	few	ADJ
alkej-138	28	22	non	non	ADJ
alkej-138	28	23	-	-	ADJ
alkej-138	28	24	zero	zero	NUM
alkej-138	28	25	coefficients	coefficient	NOUN
alkej-138	28	26	.	.	PUNCT
alkej-138	29	1	in	in	ADP
alkej-138	29	2	compressed	compress	VERB
alkej-138	29	3	(	(	PUNCT
alkej-138	29	4	or	or	CCONJ
alkej-138	29	5	compressive	compressive	ADJ
alkej-138	29	6	)	)	PUNCT
alkej-138	29	7	sensing	sense	VERB
alkej-138	29	8	terminology	terminology	NOUN
alkej-138	29	9	,	,	PUNCT
alkej-138	29	10	they	they	PRON
alkej-138	29	11	are	be	AUX
alkej-138	29	12	sparse	sparse	ADJ
alkej-138	29	13	[	[	X
alkej-138	29	14	5	5	NUM
alkej-138	29	15	]	]	PUNCT
alkej-138	29	16	.	.	PUNCT
alkej-138	30	1	before	before	ADP
alkej-138	30	2	starting	start	VERB
alkej-138	30	3	with	with	ADP
alkej-138	30	4	the	the	DET
alkej-138	30	5	mathematics	mathematic	NOUN
alkej-138	30	6	related	relate	VERB
alkej-138	30	7	with	with	ADP
alkej-138	30	8	cs	c	NOUN
alkej-138	30	9	let	let	VERB
alkej-138	30	10	us	we	PRON
alkej-138	30	11	first	first	ADV
alkej-138	30	12	explain	explain	VERB
alkej-138	30	13	the	the	DET
alkej-138	30	14	idea	idea	NOUN
alkej-138	30	15	with	with	ADP
alkej-138	30	16	the	the	DET
alkej-138	30	17	following	follow	VERB
alkej-138	30	18	simple	simple	ADJ
alkej-138	30	19	example	example	NOUN
alkej-138	30	20	:	:	PUNCT
alkej-138	30	21	let	let	VERB
alkej-138	30	22	us	we	PRON
alkej-138	30	23	think	think	VERB
alkej-138	30	24	of	of	ADP
alkej-138	30	25	two	two	NUM
alkej-138	30	26	numbers	number	NOUN
alkej-138	30	27	whose	whose	DET
alkej-138	30	28	average	average	NOUN
alkej-138	30	29	is	be	AUX
alkej-138	30	30	3	3	NUM
alkej-138	30	31	.	.	PUNCT
alkej-138	31	1	what	what	PRON
alkej-138	31	2	are	be	AUX
alkej-138	31	3	the	the	DET
alkej-138	31	4	numbers	number	NOUN
alkej-138	31	5	?	?	PUNCT
alkej-138	32	1	after	after	ADP
alkej-138	32	2	complaining	complain	VERB
alkej-138	32	3	that	that	SCONJ
alkej-138	32	4	there	there	PRON
alkej-138	32	5	is	be	VERB
alkej-138	32	6	no	no	DET
alkej-138	32	7	enough	enough	ADJ
alkej-138	32	8	information	information	NOUN
alkej-138	32	9	,	,	PUNCT
alkej-138	32	10	you	you	PRON
alkej-138	32	11	might	might	AUX
alkej-138	32	12	answer	answer	VERB
alkej-138	32	13	2	2	NUM
alkej-138	32	14	and	and	CCONJ
alkej-138	32	15	4	4	NUM
alkej-138	32	16	.	.	PUNCT
alkej-138	33	1	if	if	SCONJ
alkej-138	33	2	you	you	PRON
alkej-138	33	3	do	do	VERB
alkej-138	33	4	,	,	PUNCT
alkej-138	33	5	you	you	PRON
alkej-138	33	6	have	have	AUX
alkej-138	33	7	unconsciously	unconsciously	ADV
alkej-138	33	8	imposed	impose	VERB
alkej-138	33	9	a	a	DET
alkej-138	33	10	kind	kind	NOUN
alkej-138	33	11	of	of	ADP
alkej-138	33	12	regularization	regularization	NOUN
alkej-138	33	13	that	that	PRON
alkej-138	33	14	requires	require	VERB
alkej-138	33	15	the	the	DET
alkej-138	33	16	result	result	NOUN
alkej-138	33	17	to	to	PART
alkej-138	33	18	be	be	AUX
alkej-138	33	19	two	two	NUM
alkej-138	33	20	distinct	distinct	ADJ
alkej-138	33	21	integers	integer	NOUN
alkej-138	33	22	;	;	PUNCT
alkej-138	33	23	the	the	DET
alkej-138	33	24	problem	problem	NOUN
alkej-138	33	25	is	be	AUX
alkej-138	33	26	a	a	DET
alkej-138	33	27	1	1	NUM
alkej-138	33	28	–	–	PUNCT
alkej-138	33	29	by–2	by–2	PROPN
alkej-138	33	30	system	system	NOUN
alkej-138	33	31	of	of	ADP
alkej-138	33	32	linear	linear	PROPN
alkej-138	33	33	equations	equation	NOUN
alkej-138	33	34	with	with	ADP
alkej-138	33	35	matrix	matrix	NOUN
alkej-138	33	36	a=	a=	NOUN
alkej-138	34	1	[	[	X
alkej-138	34	2	1/2	1/2	NUM
alkej-138	34	3	1/2	1/2	NUM
alkej-138	34	4	]	]	PUNCT
alkej-138	34	5	and	and	CCONJ
alkej-138	34	6	right	right	ADJ
alkej-138	34	7	–	–	PUNCT
alkej-138	34	8	hand	hand	NOUN
alkej-138	34	9	side	side	NOUN
alkej-138	34	10	b=3	b=3	ADP
alkej-138	34	11	we	we	PRON
alkej-138	34	12	want	want	VERB
alkej-138	34	13	to	to	PART
alkej-138	34	14	find	find	VERB
alkej-138	34	15	a	a	DET
alkej-138	34	16	2	2	NUM
alkej-138	34	17	–	–	PUNCT
alkej-138	34	18	vector	vector	NOUN
alkej-138	34	19	y	y	NOUN
alkej-138	34	20	that	that	PRON
alkej-138	34	21	solves	solve	VERB
alkej-138	34	22	ay	ay	PROPN
alkej-138	34	23	=	=	PROPN
alkej-138	34	24	b.	b.	NOUN
alkej-138	34	25	the	the	DET
alkej-138	34	26	minimum	minimum	ADJ
alkej-138	34	27	norm	norm	NOUN
alkej-138	34	28	least	least	ADJ
alkej-138	34	29	squares	square	NOUN
alkej-138	34	30	solution	solution	NOUN
alkej-138	34	31	is	be	AUX
alkej-138	34	32	computed	compute	VERB
alkej-138	34	33	by	by	ADP
alkej-138	34	34	the	the	DET
alkej-138	34	35	pseudo	pseudo	NOUN
alkej-138	34	36	inverse	inverse	NOUN
alkej-138	34	37	,	,	PUNCT
alkej-138	34	38	y	y	PROPN
alkej-138	34	39	=[	=[	NOUN
alkej-138	34	40	3	3	NUM
alkej-138	34	41	3	3	NUM
alkej-138	34	42	]	]	PUNCT
alkej-138	34	43	but	but	CCONJ
alkej-138	34	44	different	different	ADJ
alkej-138	34	45	solution	solution	NOUN
alkej-138	34	46	is	be	AUX
alkej-138	34	47	possible	possible	ADJ
alkej-138	34	48	:x	:x	PUNCT
alkej-138	34	49	=[	=[	NOUN
alkej-138	34	50	6	6	NUM
alkej-138	34	51	0	0	NUM
alkej-138	34	52	]	]	PUNCT
alkej-138	34	53	.	.	PUNCT
alkej-138	35	1	both	both	DET
alkej-138	35	2	solutions	solution	NOUN
alkej-138	35	3	are	be	AUX
alkej-138	35	4	valid	valid	ADJ
alkej-138	35	5	,	,	PUNCT
alkej-138	35	6	but	but	CCONJ
alkej-138	35	7	human	human	ADJ
alkej-138	35	8	puzzle	puzzle	NOUN
alkej-138	35	9	–	–	PUNCT
alkej-138	35	10	solvers	solver	NOUN
alkej-138	35	11	rarely	rarely	ADV
alkej-138	35	12	mention	mention	VERB
alkej-138	35	13	them	they	PRON
alkej-138	35	14	.	.	PUNCT
alkej-138	36	1	notice	notice	VERB
alkej-138	36	2	that	that	SCONJ
alkej-138	36	3	the	the	DET
alkej-138	36	4	second	second	ADJ
alkej-138	36	5	solution	solution	NOUN
alkej-138	36	6	is	be	AUX
alkej-138	36	7	sparse	sparse	ADJ
alkej-138	36	8	;	;	PUNCT
alkej-138	36	9	one	one	NUM
alkej-138	36	10	of	of	ADP
alkej-138	36	11	its	its	PRON
alkej-138	36	12	components	component	NOUN
alkej-138	36	13	is	be	AUX
alkej-138	36	14	zero	zero	NUM
alkej-138	36	15	.	.	PUNCT
alkej-138	37	1	the	the	DET
alkej-138	37	2	signal	signal	NOUN
alkej-138	37	3	or	or	CCONJ
alkej-138	37	4	image	image	NOUN
alkej-138	37	5	restoration	restoration	NOUN
alkej-138	37	6	problem	problem	NOUN
alkej-138	37	7	is	be	AUX
alkej-138	37	8	a	a	DET
alkej-138	37	9	larger	large	ADJ
alkej-138	37	10	instance	instance	NOUN
alkej-138	37	11	of	of	ADP
alkej-138	37	12	the	the	DET
alkej-138	37	13	same	same	ADJ
alkej-138	37	14	task	task	NOUN
alkej-138	37	15	;	;	PUNCT
alkej-138	37	16	we	we	PRON
alkej-138	37	17	are	be	AUX
alkej-138	37	18	given	give	VERB
alkej-138	37	19	thousands	thousand	NOUN
alkej-138	37	20	of	of	ADP
alkej-138	37	21	weighted	weight	VERB
alkej-138	37	22	averages	average	NOUN
alkej-138	37	23	of	of	ADP
alkej-138	37	24	millions	million	NOUN
alkej-138	37	25	of	of	ADP
alkej-138	37	26	signal	signal	NOUN
alkej-138	37	27	or	or	CCONJ
alkej-138	37	28	pixel	pixel	ADJ
alkej-138	37	29	values	value	NOUN
alkej-138	37	30	.	.	PUNCT
alkej-138	38	1	our	our	PRON
alkej-138	38	2	job	job	NOUN
alkej-138	38	3	is	be	AUX
alkej-138	38	4	to	to	PART
alkej-138	38	5	re	re	VERB
alkej-138	38	6	-	-	VERB
alkej-138	38	7	generate	generate	VERB
alkej-138	38	8	the	the	DET
alkej-138	38	9	original	original	ADJ
alkej-138	38	10	signal	signal	NOUN
alkej-138	38	11	or	or	CCONJ
alkej-138	38	12	image	image	NOUN
alkej-138	38	13	.	.	PUNCT
alkej-138	39	1	2.1	2.1	NUM
alkej-138	39	2	.	.	PUNCT
alkej-138	40	1	problem	problem	NOUN
alkej-138	40	2	statement	statement	NOUN
alkej-138	40	3	of	of	ADP
alkej-138	40	4	compressible	compressible	ADJ
alkej-138	40	5	signals	signal	NOUN
alkej-138	40	6	consider	consider	VERB
alkej-138	40	7	a	a	DET
alkej-138	40	8	real	real	ADV
alkej-138	40	9	-	-	PUNCT
alkej-138	40	10	valued	value	VERB
alkej-138	40	11	,	,	PUNCT
alkej-138	40	12	finite	finite	ADJ
alkej-138	40	13	-	-	NOUN
alkej-138	40	14	length	length	ADJ
alkej-138	40	15	,	,	PUNCT
alkej-138	40	16	onedimensional	onedimensional	ADJ
alkej-138	40	17	,	,	PUNCT
alkej-138	40	18	discrete	discrete	ADJ
alkej-138	40	19	-	-	PUNCT
alkej-138	40	20	time	time	NOUN
alkej-138	40	21	signal	signal	NOUN
alkej-138	40	22	x	x	PROPN
alkej-138	40	23	,	,	PUNCT
alkej-138	40	24	which	which	PRON
alkej-138	40	25	can	can	AUX
alkej-138	40	26	be	be	AUX
alkej-138	40	27	viewed	view	VERB
alkej-138	40	28	as	as	ADP
alkej-138	40	29	an	an	DET
alkej-138	40	30	n	n	NUM
alkej-138	40	31	×	×	NOUN
alkej-138	40	32	1	1	NUM
alkej-138	40	33	column	column	NOUN
alkej-138	40	34	vector	vector	NOUN
alkej-138	40	35	in	in	ADP
alkej-138	40	36	with	with	ADP
alkej-138	40	37	elements	element	NOUN
alkej-138	40	38	x[n	x[n	PROPN
alkej-138	40	39	]	]	PUNCT
alkej-138	40	40	,	,	PUNCT
alkej-138	40	41	n	n	NOUN
alkej-138	40	42	=	=	SYM
alkej-138	40	43	1	1	NUM
alkej-138	40	44	,	,	PUNCT
alkej-138	40	45	2	2	NUM
alkej-138	40	46	,	,	PUNCT
alkej-138	40	47	.	.	PUNCT
alkej-138	40	48	.	.	PUNCT
alkej-138	41	1	.	.	PUNCT
alkej-138	42	1	,	,	PUNCT
alkej-138	42	2	n.	n.	VERB
alkej-138	42	3	any	any	DET
alkej-138	42	4	signal	signal	NOUN
alkej-138	42	5	in	in	ADP
alkej-138	42	6	can	can	AUX
alkej-138	42	7	be	be	AUX
alkej-138	42	8	represented	represent	VERB
alkej-138	42	9	in	in	ADP
alkej-138	42	10	terms	term	NOUN
alkej-138	42	11	of	of	ADP
alkej-138	42	12	a	a	DET
alkej-138	42	13	basis	basis	NOUN
alkej-138	42	14	of	of	ADP
alkej-138	42	15	n	n	NUM
alkej-138	42	16	×	×	NOUN
alkej-138	42	17	1	1	NUM
alkej-138	42	18	vectors	vector	NOUN
alkej-138	42	19	.	.	PUNCT
alkej-138	43	1	using	use	VERB
alkej-138	43	2	the	the	DET
alkej-138	43	3	n	n	NUM
alkej-138	43	4	×	×	NOUN
alkej-138	43	5	n	n	CCONJ
alkej-138	43	6	basis	basis	NOUN
alkej-138	43	7	matrix	matrix	NOUN
alkej-138	43	8	=	=	PUNCT
alkej-138	44	1	[	[	X
alkej-138	44	2	ψ1|ψ2|	ψ1|ψ2|	X
alkej-138	44	3	.	.	PUNCT
alkej-138	44	4	.	.	PUNCT
alkej-138	44	5	.	.	PUNCT
alkej-138	45	1	|ψn	|ψn	X
alkej-138	45	2	]	]	PUNCT
alkej-138	45	3	with	with	ADP
alkej-138	45	4	the	the	DET
alkej-138	45	5	vectors	vector	NOUN
alkej-138	45	6	{	{	PUNCT
alkej-138	45	7	ψi	ψi	ADP
alkej-138	45	8	}	}	PUNCT
alkej-138	45	9	as	as	ADP
alkej-138	45	10	columns	column	NOUN
alkej-138	45	11	,	,	PUNCT
alkej-138	45	12	a	a	DET
alkej-138	45	13	signal	signal	NOUN
alkej-138	45	14	x	x	X
alkej-138	45	15	can	can	AUX
alkej-138	45	16	be	be	AUX
alkej-138	45	17	expressed	express	VERB
alkej-138	45	18	as	as	ADP
alkej-138	45	19	x	x	X
alkej-138	45	20	=	=	PUNCT
alkej-138	45	21	or	or	CCONJ
alkej-138	45	22	x	x	SYM
alkej-138	45	23	=	=	PRON
alkej-138	45	24	...	...	PUNCT
alkej-138	45	25	(	(	PUNCT
alkej-138	45	26	1	1	X
alkej-138	45	27	)	)	PUNCT
alkej-138	45	28	where	where	SCONJ
alkej-138	45	29	s	s	NOUN
alkej-138	45	30	is	be	AUX
alkej-138	45	31	the	the	DET
alkej-138	45	32	n	n	NUM
alkej-138	45	33	×	×	NOUN
alkej-138	45	34	1	1	NUM
alkej-138	45	35	column	column	NOUN
alkej-138	45	36	vector	vector	NOUN
alkej-138	45	37	of	of	ADP
alkej-138	45	38	weighting	weight	VERB
alkej-138	45	39	coefficients	coefficient	NOUN
alkej-138	45	40	si	si	X
alkej-138	45	41	=	=	SYM
alkej-138	45	42	=	=	PROPN
alkej-138	45	43	ψi	ψi	PROPN
alkej-138	45	44	t	t	PROPN
alkej-138	45	45	x.	x.	NOUN
alkej-138	45	46	clearly	clearly	ADV
alkej-138	45	47	,	,	PUNCT
alkej-138	45	48	x	x	PUNCT
alkej-138	45	49	and	and	CCONJ
alkej-138	45	50	s	s	VERB
alkej-138	45	51	are	be	AUX
alkej-138	45	52	equivalent	equivalent	ADJ
alkej-138	45	53	representations	representation	NOUN
alkej-138	45	54	of	of	ADP
alkej-138	45	55	the	the	DET
alkej-138	45	56	signal	signal	NOUN
alkej-138	45	57	,	,	PUNCT
alkej-138	45	58	with	with	ADP
alkej-138	45	59	x	x	PUNCT
alkej-138	45	60	in	in	ADP
alkej-138	45	61	the	the	DET
alkej-138	45	62	time	time	NOUN
alkej-138	45	63	or	or	CCONJ
alkej-138	45	64	space	space	NOUN
alkej-138	45	65	domain	domain	NOUN
alkej-138	45	66	and	and	CCONJ
alkej-138	45	67	s	s	NOUN
alkej-138	45	68	in	in	ADP
alkej-138	45	69	the	the	DET
alkej-138	45	70	domain	domain	NOUN
alkej-138	45	71	.	.	PUNCT
alkej-138	46	1	the	the	DET
alkej-138	46	2	signal	signal	NOUN
alkej-138	46	3	x	x	PUNCT
alkej-138	46	4	is	be	AUX
alkej-138	46	5	k	k	NOUN
alkej-138	46	6	-	-	NOUN
alkej-138	46	7	sparse	sparse	ADJ
alkej-138	46	8	if	if	SCONJ
alkej-138	46	9	it	it	PRON
alkej-138	46	10	is	be	AUX
alkej-138	46	11	a	a	DET
alkej-138	46	12	linear	linear	ADJ
alkej-138	46	13	combination	combination	NOUN
alkej-138	46	14	of	of	ADP
alkej-138	46	15	only	only	ADV
alkej-138	46	16	k	k	ADJ
alkej-138	46	17	basis	basis	NOUN
alkej-138	46	18	vectors	vector	NOUN
alkej-138	46	19	;	;	PUNCT
alkej-138	46	20	that	that	PRON
alkej-138	46	21	is	is	ADV
alkej-138	46	22	,	,	PUNCT
alkej-138	46	23	only	only	ADV
alkej-138	46	24	k	k	PROPN
alkej-138	46	25	of	of	ADP
alkej-138	46	26	the	the	DET
alkej-138	46	27	si	si	PROPN
alkej-138	46	28	coefficients	coefficient	NOUN
alkej-138	46	29	in	in	ADP
alkej-138	46	30	(	(	PUNCT
alkej-138	46	31	1	1	X
alkej-138	46	32	)	)	PUNCT
alkej-138	46	33	are	be	AUX
alkej-138	46	34	nonzero	nonzero	ADJ
alkej-138	46	35	and	and	CCONJ
alkej-138	46	36	(	(	PUNCT
alkej-138	46	37	n	n	CCONJ
alkej-138	46	38	−	−	PROPN
alkej-138	46	39	k	k	NOUN
alkej-138	46	40	)	)	PUNCT
alkej-138	46	41	are	be	AUX
alkej-138	46	42	zero	zero	NUM
alkej-138	46	43	.	.	PUNCT
alkej-138	47	1	the	the	DET
alkej-138	47	2	case	case	NOUN
alkej-138	47	3	of	of	ADP
alkej-138	47	4	interest	interest	NOUN
alkej-138	47	5	is	be	AUX
alkej-138	47	6	when	when	SCONJ
alkej-138	47	7	k	k	PROPN
alkej-138	47	8	n.	n.	PROPN
alkej-138	47	9	the	the	DET
alkej-138	47	10	signal	signal	NOUN
alkej-138	47	11	x	x	PUNCT
alkej-138	47	12	is	be	AUX
alkej-138	47	13	compressible	compressible	ADJ
alkej-138	47	14	if	if	SCONJ
alkej-138	47	15	the	the	DET
alkej-138	47	16	representation	representation	NOUN
alkej-138	47	17	(	(	PUNCT
alkej-138	47	18	1	1	X
alkej-138	47	19	)	)	PUNCT
alkej-138	47	20	has	have	VERB
alkej-138	47	21	just	just	ADV
alkej-138	47	22	a	a	DET
alkej-138	47	23	few	few	ADJ
alkej-138	47	24	large	large	ADJ
alkej-138	47	25	coefficients	coefficient	NOUN
alkej-138	47	26	and	and	CCONJ
alkej-138	47	27	many	many	ADJ
alkej-138	47	28	small	small	ADJ
alkej-138	47	29	coefficients	coefficient	NOUN
alkej-138	47	30	.	.	PUNCT
alkej-138	48	1	2.2	2.2	NUM
alkej-138	48	2	.	.	PUNCT
alkej-138	49	1	transform	transform	VERB
alkej-138	49	2	coding	coding	NOUN
alkej-138	49	3	and	and	CCONJ
alkej-138	49	4	its	its	PRON
alkej-138	49	5	inefficiencies	inefficiency	NOUN
alkej-138	49	6	the	the	DET
alkej-138	49	7	fact	fact	NOUN
alkej-138	49	8	that	that	SCONJ
alkej-138	49	9	compressible	compressible	ADJ
alkej-138	49	10	signals	signal	NOUN
alkej-138	49	11	are	be	AUX
alkej-138	49	12	well	well	ADV
alkej-138	49	13	approximated	approximate	VERB
alkej-138	49	14	by	by	ADP
alkej-138	49	15	k	k	ADJ
alkej-138	49	16	-	-	ADJ
alkej-138	49	17	sparse	sparse	ADJ
alkej-138	49	18	representations	representation	NOUN
alkej-138	49	19	forms	form	VERB
alkej-138	49	20	the	the	DET
alkej-138	49	21	foundation	foundation	NOUN
alkej-138	49	22	of	of	ADP
alkej-138	49	23	transform	transform	NOUN
alkej-138	49	24	coding	code	VERB
alkej-138	49	25	[	[	X
alkej-138	49	26	3	3	NUM
alkej-138	49	27	,	,	PUNCT
alkej-138	49	28	6	6	NUM
alkej-138	49	29	]	]	PUNCT
alkej-138	49	30	.	.	PUNCT
alkej-138	50	1	in	in	ADP
alkej-138	50	2	data	data	NOUN
alkej-138	50	3	acquisition	acquisition	NOUN
alkej-138	50	4	systems	system	NOUN
alkej-138	50	5	(	(	PUNCT
alkej-138	50	6	for	for	ADP
alkej-138	50	7	example	example	NOUN
alkej-138	50	8	,	,	PUNCT
alkej-138	50	9	digital	digital	ADJ
alkej-138	50	10	cameras	camera	NOUN
alkej-138	50	11	)	)	PUNCT
alkej-138	50	12	transform	transform	VERB
alkej-138	50	13	coding	coding	NOUN
alkej-138	50	14	plays	play	VERB
alkej-138	50	15	a	a	DET
alkej-138	50	16	central	central	ADJ
alkej-138	50	17	role	role	NOUN
alkej-138	50	18	:	:	PUNCT
alkej-138	50	19	the	the	DET
alkej-138	50	20	full	full	ADJ
alkej-138	50	21	nsample	nsample	PROPN
alkej-138	50	22	signal	signal	NOUN
alkej-138	50	23	x	x	VERB
alkej-138	50	24	is	be	AUX
alkej-138	50	25	acquired	acquire	VERB
alkej-138	50	26	;	;	PUNCT
alkej-138	50	27	the	the	DET
alkej-138	50	28	complete	complete	ADJ
alkej-138	50	29	set	set	NOUN
alkej-138	50	30	of	of	ADP
alkej-138	50	31	transform	transform	NOUN
alkej-138	50	32	coefficients	coefficient	NOUN
alkej-138	50	33	{	{	PUNCT
alkej-138	50	34	si	si	PART
alkej-138	50	35	}	}	PUNCT
alkej-138	50	36	is	be	AUX
alkej-138	50	37	computed	compute	VERB
alkej-138	50	38	via	via	ADP
alkej-138	50	39	s	s	PART
alkej-138	50	40	=	=	X
alkej-138	50	41	tx	tx	PROPN
alkej-138	50	42	;	;	PUNCT
alkej-138	50	43	the	the	DET
alkej-138	50	44	k	k	ADV
alkej-138	50	45	largest	large	ADJ
alkej-138	50	46	coefficients	coefficient	NOUN
alkej-138	50	47	are	be	AUX
alkej-138	50	48	located	locate	VERB
alkej-138	50	49	and	and	CCONJ
alkej-138	50	50	the	the	DET
alkej-138	50	51	(	(	PUNCT
alkej-138	50	52	n	n	NOUN
alkej-138	50	53	−	−	PROPN
alkej-138	50	54	k	k	NOUN
alkej-138	50	55	)	)	PUNCT
alkej-138	50	56	smallest	small	ADJ
alkej-138	50	57	coefficients	coefficient	NOUN
alkej-138	50	58	are	be	AUX
alkej-138	50	59	discarded	discard	VERB
alkej-138	50	60	;	;	PUNCT
alkej-138	50	61	and	and	CCONJ
alkej-138	50	62	the	the	DET
alkej-138	50	63	k	k	PROPN
alkej-138	50	64	values	value	NOUN
alkej-138	50	65	and	and	CCONJ
alkej-138	50	66	locations	location	NOUN
alkej-138	50	67	of	of	ADP
alkej-138	50	68	the	the	DET
alkej-138	50	69	largest	large	ADJ
alkej-138	50	70	coefficients	coefficient	NOUN
alkej-138	50	71	are	be	AUX
alkej-138	50	72	encoded	encode	VERB
alkej-138	50	73	.	.	PUNCT
alkej-138	51	1	unfortunately	unfortunately	ADV
alkej-138	51	2	,	,	PUNCT
alkej-138	51	3	this	this	DET
alkej-138	51	4	sample	sample	NOUN
alkej-138	51	5	–	–	PUNCT
alkej-138	51	6	then	then	ADV
alkej-138	51	7	–	–	PUNCT
alkej-138	51	8	compress	compress	VERB
alkej-138	51	9	framework	framework	NOUN
alkej-138	51	10	suffers	suffer	VERB
alkej-138	51	11	from	from	ADP
alkej-138	51	12	three	three	NUM
alkej-138	51	13	inherent	inherent	ADJ
alkej-138	51	14	inefficiencies	inefficiency	NOUN
alkej-138	51	15	.	.	PUNCT
alkej-138	52	1	first	first	ADV
alkej-138	52	2	,	,	PUNCT
alkej-138	52	3	the	the	DET
alkej-138	52	4	initial	initial	ADJ
alkej-138	52	5	number	number	NOUN
alkej-138	52	6	of	of	ADP
alkej-138	52	7	samples	sample	NOUN
alkej-138	52	8	n	n	CCONJ
alkej-138	52	9	may	may	AUX
alkej-138	52	10	be	be	AUX
alkej-138	52	11	large	large	ADJ
alkej-138	52	12	even	even	ADV
alkej-138	52	13	if	if	SCONJ
alkej-138	52	14	the	the	DET
alkej-138	52	15	desired	desire	VERB
alkej-138	52	16	k	k	PROPN
alkej-138	52	17	is	be	AUX
alkej-138	52	18	small	small	ADJ
alkej-138	52	19	.	.	PUNCT
alkej-138	53	1	second	second	ADV
alkej-138	53	2	,	,	PUNCT
alkej-138	53	3	the	the	DET
alkej-138	53	4	set	set	NOUN
alkej-138	53	5	of	of	ADP
alkej-138	53	6	all	all	DET
alkej-138	53	7	n	n	PRON
alkej-138	53	8	transform	transform	VERB
alkej-138	53	9	coefficients	coefficient	NOUN
alkej-138	53	10	{	{	PUNCT
alkej-138	53	11	si	si	PART
alkej-138	53	12	}	}	PUNCT
alkej-138	53	13	must	must	AUX
alkej-138	53	14	be	be	AUX
alkej-138	53	15	computed	compute	VERB
alkej-138	53	16	even	even	ADV
alkej-138	53	17	though	though	SCONJ
alkej-138	53	18	all	all	PRON
alkej-138	54	1	but	but	CCONJ
alkej-138	54	2	k	k	PROPN
alkej-138	54	3	of	of	ADP
alkej-138	54	4	them	they	PRON
alkej-138	54	5	will	will	AUX
alkej-138	54	6	be	be	AUX
alkej-138	54	7	discarded	discard	VERB
alkej-138	54	8	.	.	PUNCT
alkej-138	55	1	third	third	ADJ
alkej-138	55	2	,	,	PUNCT
alkej-138	55	3	the	the	DET
alkej-138	55	4	locations	location	NOUN
alkej-138	55	5	of	of	ADP
alkej-138	55	6	the	the	DET
alkej-138	55	7	large	large	ADJ
alkej-138	55	8	coefficients	coefficient	NOUN
alkej-138	55	9	must	must	AUX
alkej-138	55	10	be	be	AUX
alkej-138	55	11	encoded	encode	VERB
alkej-138	55	12	,	,	PUNCT
alkej-138	55	13	thus	thus	ADV
alkej-138	55	14	introducing	introduce	VERB
alkej-138	55	15	an	an	DET
alkej-138	55	16	overhead	overhead	NOUN
alkej-138	55	17	.	.	PUNCT
alkej-138	56	1	2.3	2.3	NUM
alkej-138	56	2	.	.	PUNCT
alkej-138	57	1	the	the	DET
alkej-138	57	2	compressive	compressive	ADJ
alkej-138	57	3	sensing	sense	VERB
alkej-138	57	4	problem	problem	NOUN
alkej-138	57	5	compressive	compressive	ADJ
alkej-138	57	6	sensing	sense	VERB
alkej-138	57	7	address	address	NOUN
alkej-138	57	8	these	these	DET
alkej-138	57	9	inefficiencies	inefficiency	NOUN
alkej-138	57	10	by	by	ADP
alkej-138	57	11	directly	directly	ADV
alkej-138	57	12	acquiring	acquire	VERB
alkej-138	57	13	a	a	DET
alkej-138	57	14	compressed	compress	VERB
alkej-138	57	15	signal	signal	NOUN
alkej-138	57	16	representation	representation	NOUN
alkej-138	57	17	without	without	ADP
alkej-138	57	18	going	go	VERB
alkej-138	57	19	through	through	ADP
alkej-138	57	20	the	the	DET
alkej-138	57	21	intermediate	intermediate	ADJ
alkej-138	57	22	stage	stage	NOUN
alkej-138	57	23	of	of	ADP
alkej-138	57	24	acquiring	acquire	VERB
alkej-138	57	25	n	n	CCONJ
alkej-138	57	26	samples	sample	NOUN
alkej-138	57	27	[	[	X
alkej-138	57	28	1	1	NUM
alkej-138	57	29	,	,	PUNCT
alkej-138	57	30	7	7	NUM
alkej-138	57	31	,	,	PUNCT
alkej-138	57	32	8	8	NUM
alkej-138	57	33	]	]	PUNCT
alkej-138	57	34	.	.	PUNCT
alkej-138	58	1	consider	consider	VERB
alkej-138	58	2	a	a	DET
alkej-138	58	3	general	general	ADJ
alkej-138	58	4	linear	linear	NOUN
alkej-138	58	5	measurement	measurement	NOUN
alkej-138	58	6	process	process	NOUN
alkej-138	58	7	that	that	PRON
alkej-138	58	8	computes	compute	VERB
alkej-138	58	9	m	m	VERB
alkej-138	58	10	<	<	X
alkej-138	58	11	n	n	DET
alkej-138	58	12	inner	inner	ADJ
alkej-138	58	13	products	product	NOUN
alkej-138	58	14	between	between	ADP
alkej-138	58	15	x	x	PROPN
alkej-138	58	16	and	and	CCONJ
alkej-138	58	17	a	a	DET
alkej-138	58	18	collection	collection	NOUN
alkej-138	58	19	of	of	ADP
alkej-138	58	20	vectors	vector	NOUN
alkej-138	58	21	as	as	ADP
alkej-138	58	22	in	in	ADP
alkej-138	58	23	yj	yj	PROPN
alkej-138	58	24	=	=	PUNCT
alkej-138	58	25	.	.	PUNCT
alkej-138	59	1	arrange	arrange	VERB
alkej-138	59	2	the	the	DET
alkej-138	59	3	measurements	measurement	NOUN
alkej-138	59	4	yj	yj	VERB
alkej-138	59	5	in	in	ADP
alkej-138	59	6	an	an	DET
alkej-138	59	7	m	m	NOUN
alkej-138	59	8	×	×	NOUN
alkej-138	59	9	1	1	NUM
alkej-138	59	10	vector	vector	NOUN
alkej-138	59	11	y	y	PROPN
alkej-138	59	12	and	and	CCONJ
alkej-138	59	13	the	the	DET
alkej-138	59	14	measurement	measurement	NOUN
alkej-138	59	15	vectors	vector	NOUN
alkej-138	59	16	t	t	PROPN
alkej-138	59	17	as	as	ADP
alkej-138	59	18	rows	row	NOUN
alkej-138	59	19	in	in	ADP
alkej-138	59	20	an	an	DET
alkej-138	59	21	m	m	NOUN
alkej-138	59	22	×	×	NOUN
alkej-138	59	23	n	n	NOUN
alkej-138	59	24	matrix	matrix	NOUN
alkej-138	59	25	.	.	PUNCT
alkej-138	60	1	then	then	ADV
alkej-138	60	2	,	,	PUNCT
alkej-138	60	3	by	by	ADP
alkej-138	60	4	substituting	substitute	VERB
alkej-138	60	5	from	from	ADP
alkej-138	60	6	(	(	PUNCT
alkej-138	60	7	1	1	NUM
alkej-138	60	8	)	)	PUNCT
alkej-138	60	9	,	,	PUNCT
alkej-138	60	10	y	y	PROPN
alkej-138	60	11	can	can	AUX
alkej-138	60	12	be	be	AUX
alkej-138	60	13	written	write	VERB
alkej-138	60	14	as	as	ADP
alkej-138	60	15	…	…	PUNCT
alkej-138	60	16	(	(	PUNCT
alkej-138	60	17	2	2	NUM
alkej-138	60	18	)	)	PUNCT
alkej-138	60	19	ahmed	ahmed	PROPN
alkej-138	60	20	a.	a.	PROPN
alkej-138	60	21	hashim	hashim	PROPN
alkej-138	60	22	al	al	PROPN
alkej-138	60	23	-	-	PUNCT
alkej-138	60	24	khwarizmi	khwarizmi	PROPN
alkej-138	60	25	engineering	engineering	NOUN
alkej-138	60	26	journal	journal	PROPN
alkej-138	60	27	,	,	PUNCT
alkej-138	60	28	vol	vol	NOUN
alkej-138	60	29	.	.	PROPN
alkej-138	60	30	8	8	NUM
alkej-138	60	31	,	,	PUNCT
alkej-138	60	32	no.3	no.3	VERB
alkej-138	60	33	,	,	PUNCT
alkej-138	60	34	pp	pp	ADP
alkej-138	60	35	5362	5362	NUM
alkej-138	60	36	(	(	PUNCT
alkej-138	60	37	2012	2012	NUM
alkej-138	60	38	)	)	PUNCT
alkej-138	60	39	55	55	NUM
alkej-138	60	40	k	k	NOUN
alkej-138	60	41	-	-	NOUN
alkej-138	60	42	sparse	sparse	ADJ
alkej-138	60	43	(	(	PUNCT
alkej-138	60	44	a	a	NOUN
alkej-138	60	45	)	)	PUNCT
alkej-138	60	46	(	(	PUNCT
alkej-138	60	47	b	b	X
alkej-138	60	48	)	)	PUNCT
alkej-138	60	49	where	where	SCONJ
alkej-138	60	50	is	be	AUX
alkej-138	60	51	an	an	DET
alkej-138	60	52	m	m	NOUN
alkej-138	60	53	×	×	NOUN
alkej-138	60	54	n	n	PRON
alkej-138	60	55	matrix	matrix	NOUN
alkej-138	60	56	.	.	PUNCT
alkej-138	61	1	the	the	DET
alkej-138	61	2	measurement	measurement	NOUN
alkej-138	61	3	process	process	NOUN
alkej-138	61	4	is	be	AUX
alkej-138	61	5	not	not	PART
alkej-138	61	6	adaptive	adaptive	ADJ
alkej-138	61	7	,	,	PUNCT
alkej-138	61	8	meaning	mean	VERB
alkej-138	61	9	that	that	PRON
alkej-138	61	10	is	be	AUX
alkej-138	61	11	fixed	fix	VERB
alkej-138	61	12	and	and	CCONJ
alkej-138	61	13	does	do	AUX
alkej-138	61	14	not	not	PART
alkej-138	61	15	depend	depend	VERB
alkej-138	61	16	on	on	ADP
alkej-138	61	17	the	the	DET
alkej-138	61	18	signal	signal	NOUN
alkej-138	61	19	x.	x.	NOUN
alkej-138	62	1	the	the	DET
alkej-138	62	2	problem	problem	NOUN
alkej-138	62	3	consists	consist	VERB
alkej-138	62	4	of	of	ADP
alkej-138	62	5	designing	design	VERB
alkej-138	62	6	a	a	PRON
alkej-138	62	7	)	)	PUNCT
alkej-138	62	8	a	a	DET
alkej-138	62	9	stable	stable	ADJ
alkej-138	62	10	measurement	measurement	NOUN
alkej-138	62	11	matrix	matrix	NOUN
alkej-138	62	12	such	such	ADJ
alkej-138	62	13	that	that	SCONJ
alkej-138	62	14	the	the	DET
alkej-138	62	15	salient	salient	ADJ
alkej-138	62	16	information	information	NOUN
alkej-138	62	17	in	in	ADP
alkej-138	62	18	any	any	DET
alkej-138	62	19	k	k	NOUN
alkej-138	62	20	-	-	ADJ
alkej-138	62	21	sparse	sparse	ADJ
alkej-138	62	22	or	or	CCONJ
alkej-138	62	23	compressible	compressible	ADJ
alkej-138	62	24	signal	signal	NOUN
alkej-138	62	25	is	be	AUX
alkej-138	62	26	not	not	PART
alkej-138	62	27	damaged	damage	VERB
alkej-138	62	28	by	by	ADP
alkej-138	62	29	the	the	DET
alkej-138	62	30	dimensionality	dimensionality	NOUN
alkej-138	62	31	reduction	reduction	NOUN
alkej-138	62	32	from	from	ADP
alkej-138	62	33	to	to	ADP
alkej-138	62	34	and	and	CCONJ
alkej-138	62	35	b	b	X
alkej-138	62	36	)	)	PUNCT
alkej-138	62	37	a	a	DET
alkej-138	62	38	reconstruction	reconstruction	NOUN
alkej-138	62	39	algorithm	algorithm	NOUN
alkej-138	62	40	to	to	PART
alkej-138	62	41	recover	recover	VERB
alkej-138	62	42	x	x	PUNCT
alkej-138	62	43	from	from	ADP
alkej-138	62	44	only	only	ADV
alkej-138	62	45	m	m	PROPN
alkej-138	62	46	≈	≈	PROPN
alkej-138	62	47	k	k	PROPN
alkej-138	62	48	measurements	measurement	NOUN
alkej-138	62	49	y	y	PROPN
alkej-138	62	50	(	(	PUNCT
alkej-138	62	51	or	or	CCONJ
alkej-138	62	52	about	about	ADV
alkej-138	62	53	as	as	ADV
alkej-138	62	54	many	many	ADJ
alkej-138	62	55	measurements	measurement	NOUN
alkej-138	62	56	as	as	ADP
alkej-138	62	57	the	the	DET
alkej-138	62	58	number	number	NOUN
alkej-138	62	59	of	of	ADP
alkej-138	62	60	coefficients	coefficient	NOUN
alkej-138	62	61	recorded	record	VERB
alkej-138	62	62	by	by	ADP
alkej-138	62	63	a	a	DET
alkej-138	62	64	traditional	traditional	ADJ
alkej-138	62	65	transform	transform	NOUN
alkej-138	62	66	coder	coder	NOUN
alkej-138	62	67	)	)	PUNCT
alkej-138	62	68	.	.	PUNCT
alkej-138	63	1	2.4	2.4	NUM
alkej-138	63	2	.	.	PUNCT
alkej-138	64	1	designing	design	VERB
alkej-138	64	2	a	a	DET
alkej-138	64	3	stable	stable	ADJ
alkej-138	64	4	measurement	measurement	NOUN
alkej-138	64	5	matrix	matrix	NOUN
alkej-138	64	6	the	the	DET
alkej-138	64	7	measurement	measurement	NOUN
alkej-138	64	8	matrix	matrix	NOUN
alkej-138	64	9	must	must	AUX
alkej-138	64	10	allow	allow	VERB
alkej-138	64	11	the	the	DET
alkej-138	64	12	reconstruction	reconstruction	NOUN
alkej-138	64	13	of	of	ADP
alkej-138	64	14	the	the	DET
alkej-138	64	15	length	length	NOUN
alkej-138	64	16	-	-	PUNCT
alkej-138	64	17	n	n	NOUN
alkej-138	64	18	signal	signal	NOUN
alkej-138	64	19	x	x	PUNCT
alkej-138	64	20	from	from	ADP
alkej-138	64	21	m	m	PROPN
alkej-138	64	22	<	<	X
alkej-138	64	23	n	n	DET
alkej-138	64	24	measurements	measurement	NOUN
alkej-138	64	25	(	(	PUNCT
alkej-138	64	26	the	the	DET
alkej-138	64	27	vector	vector	PROPN
alkej-138	64	28	y	y	PROPN
alkej-138	64	29	)	)	PUNCT
alkej-138	64	30	.	.	PUNCT
alkej-138	65	1	since	since	SCONJ
alkej-138	65	2	m	m	PROPN
alkej-138	65	3	<	<	X
alkej-138	65	4	n	n	CCONJ
alkej-138	65	5	,	,	PUNCT
alkej-138	65	6	this	this	DET
alkej-138	65	7	problem	problem	NOUN
alkej-138	65	8	appears	appear	VERB
alkej-138	65	9	ill	ill	ADV
alkej-138	65	10	-	-	PUNCT
alkej-138	65	11	conditioned	condition	VERB
alkej-138	65	12	.	.	PUNCT
alkej-138	66	1	if	if	SCONJ
alkej-138	66	2	,	,	PUNCT
alkej-138	66	3	however	however	ADV
alkej-138	66	4	,	,	PUNCT
alkej-138	66	5	x	x	X
alkej-138	66	6	is	be	AUX
alkej-138	66	7	k	k	NOUN
alkej-138	66	8	-	-	ADJ
alkej-138	66	9	sparse	sparse	ADJ
alkej-138	66	10	and	and	CCONJ
alkej-138	66	11	the	the	DET
alkej-138	66	12	k	k	PROPN
alkej-138	66	13	locations	location	NOUN
alkej-138	66	14	of	of	ADP
alkej-138	66	15	the	the	DET
alkej-138	66	16	nonzero	nonzero	PROPN
alkej-138	66	17	coefficients	coefficient	NOUN
alkej-138	66	18	in	in	ADP
alkej-138	66	19	s	s	NOUN
alkej-138	66	20	are	be	AUX
alkej-138	66	21	known	know	VERB
alkej-138	66	22	,	,	PUNCT
alkej-138	66	23	then	then	ADV
alkej-138	66	24	the	the	DET
alkej-138	66	25	problem	problem	NOUN
alkej-138	66	26	can	can	AUX
alkej-138	66	27	be	be	AUX
alkej-138	66	28	solved	solve	VERB
alkej-138	66	29	provided	provide	VERB
alkej-138	66	30	m	m	PROPN
alkej-138	66	31	≥	≥	PROPN
alkej-138	66	32	k.	k.	X
alkej-138	67	1	a	a	DET
alkej-138	67	2	necessary	necessary	ADJ
alkej-138	67	3	and	and	CCONJ
alkej-138	67	4	sufficient	sufficient	ADJ
alkej-138	67	5	condition	condition	NOUN
alkej-138	67	6	for	for	ADP
alkej-138	67	7	this	this	DET
alkej-138	67	8	simplified	simplify	VERB
alkej-138	67	9	problem	problem	NOUN
alkej-138	67	10	to	to	PART
alkej-138	67	11	be	be	AUX
alkej-138	67	12	well	well	ADV
alkej-138	67	13	conditioned	condition	VERB
alkej-138	67	14	is	be	AUX
alkej-138	67	15	that	that	SCONJ
alkej-138	67	16	,	,	PUNCT
alkej-138	67	17	for	for	ADP
alkej-138	67	18	any	any	DET
alkej-138	67	19	vector	vector	NOUN
alkej-138	67	20	v	v	ADP
alkej-138	67	21	sharing	share	VERB
alkej-138	67	22	the	the	DET
alkej-138	67	23	same	same	ADJ
alkej-138	67	24	k	k	PROPN
alkej-138	67	25	nonzero	nonzero	PROPN
alkej-138	67	26	entries	entry	NOUN
alkej-138	67	27	as	as	ADP
alkej-138	67	28	s	s	PRON
alkej-138	67	29	and	and	CCONJ
alkej-138	67	30	for	for	ADP
alkej-138	67	31	some	some	PRON
alkej-138	67	32	>	>	SYM
alkej-138	67	33	0	0	NUM
alkej-138	67	34	…	…	PUNCT
alkej-138	67	35	(	(	PUNCT
alkej-138	67	36	3	3	NUM
alkej-138	67	37	)	)	PUNCT
alkej-138	67	38	that	that	PRON
alkej-138	67	39	is	is	ADV
alkej-138	67	40	,	,	PUNCT
alkej-138	67	41	the	the	DET
alkej-138	67	42	matrix	matrix	NOUN
alkej-138	67	43	must	must	AUX
alkej-138	67	44	preserve	preserve	VERB
alkej-138	67	45	the	the	DET
alkej-138	67	46	lengths	length	NOUN
alkej-138	67	47	of	of	ADP
alkej-138	67	48	these	these	DET
alkej-138	67	49	particular	particular	ADJ
alkej-138	67	50	k	k	ADJ
alkej-138	67	51	-	-	ADJ
alkej-138	67	52	sparse	sparse	ADJ
alkej-138	67	53	vectors	vector	NOUN
alkej-138	67	54	.	.	PUNCT
alkej-138	68	1	of	of	ADP
alkej-138	68	2	course	course	NOUN
alkej-138	68	3	,	,	PUNCT
alkej-138	68	4	in	in	ADP
alkej-138	68	5	general	general	ADJ
alkej-138	68	6	the	the	DET
alkej-138	68	7	locations	location	NOUN
alkej-138	68	8	of	of	ADP
alkej-138	68	9	the	the	DET
alkej-138	68	10	k	k	PROPN
alkej-138	68	11	nonzero	nonzero	PROPN
alkej-138	68	12	entries	entry	NOUN
alkej-138	68	13	in	in	ADP
alkej-138	68	14	s	s	NOUN
alkej-138	68	15	are	be	AUX
alkej-138	68	16	not	not	PART
alkej-138	68	17	known	know	VERB
alkej-138	68	18	.	.	PUNCT
alkej-138	69	1	however	however	ADV
alkej-138	69	2	,	,	PUNCT
alkej-138	69	3	a	a	DET
alkej-138	69	4	sufficient	sufficient	ADJ
alkej-138	69	5	condition	condition	NOUN
alkej-138	69	6	for	for	ADP
alkej-138	69	7	a	a	DET
alkej-138	69	8	stable	stable	ADJ
alkej-138	69	9	solution	solution	NOUN
alkej-138	69	10	for	for	ADP
alkej-138	69	11	both	both	DET
alkej-138	69	12	k	k	NOUN
alkej-138	69	13	-	-	ADJ
alkej-138	69	14	sparse	sparse	ADJ
alkej-138	69	15	and	and	CCONJ
alkej-138	69	16	compressible	compressible	ADJ
alkej-138	69	17	signals	signal	NOUN
alkej-138	69	18	is	be	AUX
alkej-138	69	19	that	that	SCONJ
alkej-138	69	20	satisfies	satisfie	NOUN
alkej-138	69	21	(	(	PUNCT
alkej-138	69	22	3	3	NUM
alkej-138	69	23	)	)	PUNCT
alkej-138	69	24	for	for	ADP
alkej-138	69	25	an	an	DET
alkej-138	69	26	arbitrary	arbitrary	ADJ
alkej-138	69	27	3k	3k	ADJ
alkej-138	69	28	-	-	PUNCT
alkej-138	69	29	sparse	sparse	ADJ
alkej-138	69	30	vector	vector	NOUN
alkej-138	69	31	v.	v.	ADP
alkej-138	69	32	this	this	DET
alkej-138	69	33	condition	condition	NOUN
alkej-138	69	34	is	be	AUX
alkej-138	69	35	referred	refer	VERB
alkej-138	69	36	to	to	ADP
alkej-138	69	37	as	as	ADP
alkej-138	69	38	the	the	DET
alkej-138	69	39	restricted	restricted	ADJ
alkej-138	69	40	isometry	isometry	NOUN
alkej-138	69	41	property	property	NOUN
alkej-138	69	42	(	(	PUNCT
alkej-138	69	43	rip	rip	NOUN
alkej-138	69	44	)	)	PUNCT
alkej-138	70	1	[	[	X
alkej-138	70	2	4	4	NUM
alkej-138	70	3	]	]	PUNCT
alkej-138	70	4	.	.	PUNCT
alkej-138	71	1	a	a	DET
alkej-138	71	2	related	relate	VERB
alkej-138	71	3	condition	condition	NOUN
alkej-138	71	4	,	,	PUNCT
alkej-138	71	5	referred	refer	VERB
alkej-138	71	6	to	to	ADP
alkej-138	71	7	as	as	ADP
alkej-138	71	8	incoherence	incoherence	NOUN
alkej-138	71	9	,	,	PUNCT
alkej-138	71	10	requires	require	VERB
alkej-138	71	11	that	that	SCONJ
alkej-138	71	12	the	the	DET
alkej-138	71	13	rows	row	NOUN
alkej-138	71	14	{	{	PUNCT
alkej-138	71	15	}	}	PUNCT
alkej-138	71	16	of	of	ADP
alkej-138	71	17	can	can	AUX
alkej-138	71	18	not	not	PART
alkej-138	71	19	sparsely	sparsely	ADV
alkej-138	71	20	represent	represent	VERB
alkej-138	71	21	the	the	DET
alkej-138	71	22	columns	column	NOUN
alkej-138	71	23	{	{	PUNCT
alkej-138	71	24	ψi	ψi	NOUN
alkej-138	71	25	}	}	PUNCT
alkej-138	71	26	of	of	ADP
alkej-138	71	27	ψ	ψ	X
alkej-138	71	28	(	(	PUNCT
alkej-138	71	29	and	and	CCONJ
alkej-138	71	30	vice	vice	ADV
alkej-138	71	31	versa	versa	ADV
alkej-138	71	32	)	)	PUNCT
alkej-138	71	33	.	.	PUNCT
alkej-138	72	1	direct	direct	ADJ
alkej-138	72	2	construction	construction	NOUN
alkej-138	72	3	of	of	ADP
alkej-138	72	4	a	a	DET
alkej-138	72	5	measurement	measurement	NOUN
alkej-138	72	6	matrix	matrix	NOUN
alkej-138	72	7	such	such	ADJ
alkej-138	72	8	as	as	SCONJ
alkej-138	72	9	has	have	VERB
alkej-138	72	10	the	the	DET
alkej-138	72	11	rip	rip	NOUN
alkej-138	72	12	that	that	PRON
alkej-138	72	13	requires	require	VERB
alkej-138	72	14	verifying	verify	VERB
alkej-138	72	15	(	(	PUNCT
alkej-138	72	16	3	3	NUM
alkej-138	72	17	)	)	PUNCT
alkej-138	72	18	for	for	ADP
alkej-138	72	19	each	each	PRON
alkej-138	72	20	of	of	ADP
alkej-138	72	21	the	the	DET
alkej-138	72	22	possible	possible	ADJ
alkej-138	72	23	combinations	combination	NOUN
alkej-138	72	24	of	of	ADP
alkej-138	72	25	k	k	PROPN
alkej-138	72	26	nonzero	nonzero	PROPN
alkej-138	72	27	entries	entry	NOUN
alkej-138	72	28	in	in	ADP
alkej-138	72	29	the	the	DET
alkej-138	72	30	vector	vector	NOUN
alkej-138	72	31	v	v	NOUN
alkej-138	72	32	of	of	ADP
alkej-138	72	33	length	length	NOUN
alkej-138	72	34	n.	n.	PROPN
alkej-138	72	35	however	however	ADV
alkej-138	72	36	,	,	PUNCT
alkej-138	72	37	both	both	CCONJ
alkej-138	72	38	the	the	DET
alkej-138	72	39	rip	rip	NOUN
alkej-138	72	40	and	and	CCONJ
alkej-138	72	41	incoherence	incoherence	NOUN
alkej-138	72	42	can	can	AUX
alkej-138	72	43	be	be	AUX
alkej-138	72	44	achieved	achieve	VERB
alkej-138	72	45	with	with	ADP
alkej-138	72	46	high	high	ADJ
alkej-138	72	47	probability	probability	NOUN
alkej-138	72	48	simply	simply	ADV
alkej-138	72	49	by	by	ADP
alkej-138	72	50	selecting	select	VERB
alkej-138	72	51	as	as	ADP
alkej-138	72	52	a	a	DET
alkej-138	72	53	random	random	ADJ
alkej-138	72	54	matrix	matrix	NOUN
alkej-138	72	55	.	.	PUNCT
alkej-138	73	1	for	for	ADP
alkej-138	73	2	instance	instance	NOUN
alkej-138	73	3	,	,	PUNCT
alkej-138	73	4	let	let	VERB
alkej-138	73	5	the	the	DET
alkej-138	73	6	matrix	matrix	NOUN
alkej-138	73	7	elements	element	NOUN
alkej-138	73	8	be	be	AUX
alkej-138	73	9	independent	independent	ADJ
alkej-138	73	10	and	and	CCONJ
alkej-138	73	11	identically	identically	ADV
alkej-138	73	12	distributed	distribute	VERB
alkej-138	73	13	(	(	PUNCT
alkej-138	73	14	iid	iid	NOUN
alkej-138	73	15	)	)	PUNCT
alkej-138	73	16	random	random	ADJ
alkej-138	73	17	variables	variable	NOUN
alkej-138	73	18	from	from	ADP
alkej-138	73	19	a	a	DET
alkej-138	73	20	gaussian	gaussian	ADJ
alkej-138	73	21	probability	probability	NOUN
alkej-138	73	22	density	density	NOUN
alkej-138	73	23	function	function	NOUN
alkej-138	73	24	with	with	ADP
alkej-138	73	25	mean	mean	PROPN
alkej-138	73	26	zero	zero	NUM
alkej-138	73	27	and	and	CCONJ
alkej-138	73	28	variance	variance	NOUN
alkej-138	73	29	1	1	NUM
alkej-138	73	30	/	/	SYM
alkej-138	73	31	n	n	CCONJ
alkej-138	73	32	[	[	X
alkej-138	73	33	1	1	NUM
alkej-138	73	34	,	,	PUNCT
alkej-138	73	35	2	2	NUM
alkej-138	73	36	,	,	PUNCT
alkej-138	73	37	4	4	NUM
alkej-138	73	38	]	]	PUNCT
alkej-138	73	39	.	.	PUNCT
alkej-138	74	1	then	then	ADV
alkej-138	74	2	the	the	DET
alkej-138	74	3	measurements	measurement	NOUN
alkej-138	74	4	y	y	PRON
alkej-138	74	5	are	be	AUX
alkej-138	74	6	merely	merely	ADV
alkej-138	74	7	m	m	VERB
alkej-138	74	8	different	different	ADJ
alkej-138	74	9	randomly	randomly	ADV
alkej-138	74	10	weighted	weight	VERB
alkej-138	74	11	linear	linear	ADJ
alkej-138	74	12	combinations	combination	NOUN
alkej-138	74	13	of	of	ADP
alkej-138	74	14	the	the	DET
alkej-138	74	15	elements	element	NOUN
alkej-138	74	16	of	of	ADP
alkej-138	74	17	x	x	PRON
alkej-138	74	18	,	,	PUNCT
alkej-138	74	19	as	as	SCONJ
alkej-138	74	20	illustrated	illustrate	VERB
alkej-138	74	21	in	in	ADP
alkej-138	74	22	fig	fig	NOUN
alkej-138	74	23	.	.	PUNCT
alkej-138	75	1	1(a	1(a	NUM
alkej-138	75	2	)	)	PUNCT
alkej-138	75	3	.	.	PUNCT
alkej-138	76	1	fig	fig	NOUN
alkej-138	76	2	.	.	PUNCT
alkej-138	77	1	1	1	X
alkej-138	77	2	.	.	X
alkej-138	77	3	(	(	PUNCT
alkej-138	77	4	a	a	X
alkej-138	77	5	)	)	PUNCT
alkej-138	77	6	compressive	compressive	ADJ
alkej-138	77	7	sensing	sense	VERB
alkej-138	77	8	measurement	measurement	NOUN
alkej-138	77	9	process	process	NOUN
alkej-138	77	10	with	with	ADP
alkej-138	77	11	a	a	DET
alkej-138	77	12	random	random	ADJ
alkej-138	77	13	gaussian	gaussian	NOUN
alkej-138	77	14	measurement	measurement	NOUN
alkej-138	77	15	matrix	matrix	NOUN
alkej-138	77	16	and	and	CCONJ
alkej-138	77	17	discrete	discrete	ADJ
alkej-138	77	18	cosine	cosine	NOUN
alkej-138	77	19	transform	transform	NOUN
alkej-138	77	20	(	(	PUNCT
alkej-138	77	21	dct	dct	NOUN
alkej-138	77	22	)	)	PUNCT
alkej-138	77	23	matrix	matrix	NOUN
alkej-138	77	24	.	.	PUNCT
alkej-138	78	1	the	the	DET
alkej-138	78	2	vector	vector	NOUN
alkej-138	78	3	of	of	ADP
alkej-138	78	4	coefficients	coefficient	NOUN
alkej-138	78	5	s	s	PART
alkej-138	78	6	is	be	AUX
alkej-138	78	7	sparse	sparse	ADJ
alkej-138	78	8	with	with	ADP
alkej-138	78	9	k	k	PROPN
alkej-138	78	10	=	=	SYM
alkej-138	78	11	4	4	X
alkej-138	78	12	.	.	PUNCT
alkej-138	78	13	(	(	PUNCT
alkej-138	78	14	b	b	X
alkej-138	78	15	)	)	PUNCT
alkej-138	78	16	measurement	measurement	NOUN
alkej-138	78	17	process	process	NOUN
alkej-138	78	18	with	with	ADP
alkej-138	78	19	there	there	PRON
alkej-138	78	20	are	be	VERB
alkej-138	78	21	four	four	NUM
alkej-138	78	22	columns	column	NOUN
alkej-138	78	23	that	that	PRON
alkej-138	78	24	correspond	correspond	VERB
alkej-138	78	25	to	to	ADP
alkej-138	78	26	nonzero	nonzero	PROPN
alkej-138	78	27	si	si	PROPN
alkej-138	78	28	coefficients	coefficient	NOUN
alkej-138	78	29	;	;	PUNCT
alkej-138	78	30	the	the	DET
alkej-138	78	31	measurement	measurement	NOUN
alkej-138	78	32	vector	vector	NOUN
alkej-138	78	33	y	y	PROPN
alkej-138	78	34	is	be	AUX
alkej-138	78	35	a	a	DET
alkej-138	78	36	linear	linear	ADJ
alkej-138	78	37	combination	combination	NOUN
alkej-138	78	38	of	of	ADP
alkej-138	78	39	these	these	DET
alkej-138	78	40	columns	column	NOUN
alkej-138	79	1	[	[	X
alkej-138	79	2	9	9	NUM
alkej-138	79	3	]	]	PUNCT
alkej-138	79	4	.	.	PUNCT
alkej-138	80	1	the	the	DET
alkej-138	80	2	gaussiam	gaussiam	PROPN
alkej-138	80	3	measurement	measurement	NOUN
alkej-138	80	4	matrix	matrix	NOUN
alkej-138	80	5	has	have	VERB
alkej-138	80	6	two	two	NUM
alkej-138	80	7	interesting	interesting	ADJ
alkej-138	80	8	and	and	CCONJ
alkej-138	80	9	useful	useful	ADJ
alkej-138	80	10	properties	property	NOUN
alkej-138	80	11	:	:	PUNCT
alkej-138	80	12	athe	athe	ADJ
alkej-138	80	13	matrix	matrix	NOUN
alkej-138	80	14	is	be	AUX
alkej-138	80	15	incoherent	incoherent	ADJ
alkej-138	80	16	with	with	ADP
alkej-138	80	17	the	the	DET
alkej-138	80	18	basis	basis	NOUN
alkej-138	81	1	=	=	PUNCT
alkej-138	81	2	i	i	PRON
alkej-138	81	3	of	of	ADP
alkej-138	81	4	delta	delta	PROPN
alkej-138	81	5	spikes	spike	VERB
alkej-138	81	6	with	with	ADP
alkej-138	81	7	high	high	ADJ
alkej-138	81	8	probability	probability	NOUN
alkej-138	81	9	.	.	PUNCT
alkej-138	82	1	more	more	ADV
alkej-138	82	2	specifically	specifically	ADV
alkej-138	82	3	,	,	PUNCT
alkej-138	82	4	an	an	DET
alkej-138	82	5	m	m	NOUN
alkej-138	82	6	×	×	NOUN
alkej-138	82	7	n	n	PRON
alkej-138	82	8	iid	iid	VERB
alkej-138	82	9	gaussian	gaussian	ADJ
alkej-138	82	10	matrix	matrix	NOUN
alkej-138	83	1	=	=	PUNCT
alkej-138	83	2	i	i	PRON
alkej-138	83	3	=	=	PUNCT
alkej-138	83	4	can	can	AUX
alkej-138	83	5	be	be	AUX
alkej-138	83	6	shown	show	VERB
alkej-138	83	7	to	to	PART
alkej-138	83	8	have	have	VERB
alkej-138	83	9	the	the	DET
alkej-138	83	10	rip	rip	NOUN
alkej-138	83	11	with	with	ADP
alkej-138	83	12	high	high	ADJ
alkej-138	83	13	probability	probability	NOUN
alkej-138	83	14	if	if	SCONJ
alkej-138	83	15	m	m	PROPN
alkej-138	83	16	≥	≥	NOUN
alkej-138	83	17	c	c	X
alkej-138	83	18	k	k	PROPN
alkej-138	83	19	log	log	PROPN
alkej-138	83	20	(	(	PUNCT
alkej-138	83	21	n	n	CCONJ
alkej-138	83	22	/	/	SYM
alkej-138	83	23	k	k	NOUN
alkej-138	83	24	)	)	PUNCT
alkej-138	83	25	,	,	PUNCT
alkej-138	83	26	with	with	ADP
alkej-138	83	27	c	c	PROPN
alkej-138	83	28	a	a	DET
alkej-138	83	29	small	small	ADJ
alkej-138	83	30	constant	constant	ADJ
alkej-138	83	31	[	[	X
alkej-138	83	32	1	1	NUM
alkej-138	83	33	,	,	PUNCT
alkej-138	83	34	2	2	NUM
alkej-138	83	35	,	,	PUNCT
alkej-138	83	36	4	4	NUM
alkej-138	83	37	]	]	PUNCT
alkej-138	83	38	.	.	PUNCT
alkej-138	84	1	therefore	therefore	ADV
alkej-138	84	2	,	,	PUNCT
alkej-138	84	3	k	k	NOUN
alkej-138	84	4	-	-	ADJ
alkej-138	84	5	sparse	sparse	ADJ
alkej-138	84	6	and	and	CCONJ
alkej-138	84	7	compressible	compressible	ADJ
alkej-138	84	8	signals	signal	NOUN
alkej-138	84	9	of	of	ADP
alkej-138	84	10	length	length	NOUN
alkej-138	84	11	n	n	NUM
alkej-138	84	12	can	can	AUX
alkej-138	84	13	be	be	AUX
alkej-138	84	14	recovered	recover	VERB
alkej-138	84	15	from	from	ADP
alkej-138	84	16	only	only	ADV
alkej-138	84	17	m	m	PROPN
alkej-138	84	18	≥	≥	NOUN
alkej-138	84	19	ck	ck	INTJ
alkej-138	84	20	log(n	log(n	PROPN
alkej-138	84	21	/	/	SYM
alkej-138	84	22	k	k	NOUN
alkej-138	84	23	)	)	PUNCT
alkej-138	84	24	random	random	ADJ
alkej-138	84	25	gaussian	gaussian	ADJ
alkej-138	84	26	measurements	measurement	NOUN
alkej-138	84	27	.	.	PUNCT
alkej-138	85	1	bthe	bthe	DET
alkej-138	85	2	matrix	matrix	NOUN
alkej-138	85	3	is	be	AUX
alkej-138	85	4	universal	universal	ADJ
alkej-138	85	5	in	in	ADP
alkej-138	85	6	the	the	DET
alkej-138	85	7	sense	sense	NOUN
alkej-138	85	8	that	that	PRON
alkej-138	85	9	will	will	AUX
alkej-138	85	10	be	be	AUX
alkej-138	85	11	iid	iid	VERB
alkej-138	85	12	gaussian	gaussian	NOUN
alkej-138	85	13	and	and	CCONJ
alkej-138	85	14	thus	thus	ADV
alkej-138	85	15	have	have	AUX
alkej-138	85	16	rip	rip	VERB
alkej-138	85	17	with	with	ADP
alkej-138	85	18	high	high	ADJ
alkej-138	85	19	probability	probability	NOUN
alkej-138	85	20	regardless	regardless	ADV
alkej-138	85	21	of	of	ADP
alkej-138	85	22	the	the	DET
alkej-138	85	23	choice	choice	NOUN
alkej-138	85	24	of	of	ADP
alkej-138	85	25	orthonormal	orthonormal	ADJ
alkej-138	85	26	basis	basis	NOUN
alkej-138	85	27	.	.	PUNCT
alkej-138	86	1	ahmed	ahmed	PROPN
alkej-138	86	2	a.	a.	PROPN
alkej-138	86	3	hashim	hashim	PROPN
alkej-138	86	4	al	al	PROPN
alkej-138	86	5	-	-	PUNCT
alkej-138	86	6	khwarizmi	khwarizmi	PROPN
alkej-138	86	7	engineering	engineering	NOUN
alkej-138	86	8	journal	journal	PROPN
alkej-138	86	9	,	,	PUNCT
alkej-138	86	10	vol	vol	NOUN
alkej-138	86	11	.	.	PROPN
alkej-138	86	12	8	8	NUM
alkej-138	86	13	,	,	PUNCT
alkej-138	86	14	no.3	no.3	VERB
alkej-138	86	15	,	,	PUNCT
alkej-138	86	16	pp	pp	ADP
alkej-138	86	17	5362	5362	NUM
alkej-138	86	18	(	(	PUNCT
alkej-138	86	19	2012	2012	NUM
alkej-138	86	20	)	)	PUNCT
alkej-138	86	21	56	56	NUM
alkej-138	86	22	2.5	2.5	NUM
alkej-138	86	23	.	.	PUNCT
alkej-138	87	1	designing	design	VERB
alkej-138	87	2	a	a	DET
alkej-138	87	3	signal	signal	ADJ
alkej-138	87	4	reconstruction	reconstruction	NOUN
alkej-138	87	5	algorithm	algorithm	NOUN
alkej-138	87	6	the	the	DET
alkej-138	87	7	signal	signal	ADJ
alkej-138	87	8	reconstruction	reconstruction	NOUN
alkej-138	87	9	algorithm	algorithm	NOUN
alkej-138	87	10	must	must	AUX
alkej-138	87	11	take	take	VERB
alkej-138	87	12	the	the	DET
alkej-138	87	13	m	m	NOUN
alkej-138	87	14	measurements	measurement	NOUN
alkej-138	87	15	in	in	ADP
alkej-138	87	16	the	the	DET
alkej-138	87	17	vector	vector	PROPN
alkej-138	87	18	y	y	PROPN
alkej-138	87	19	,	,	PUNCT
alkej-138	87	20	the	the	DET
alkej-138	87	21	random	random	ADJ
alkej-138	87	22	measurement	measurement	NOUN
alkej-138	87	23	matrix	matrix	NOUN
alkej-138	87	24	(	(	PUNCT
alkej-138	87	25	or	or	CCONJ
alkej-138	87	26	the	the	DET
alkej-138	87	27	random	random	ADJ
alkej-138	87	28	seed	seed	NOUN
alkej-138	87	29	that	that	PRON
alkej-138	87	30	generated	generate	VERB
alkej-138	87	31	it	it	PRON
alkej-138	87	32	)	)	PUNCT
alkej-138	87	33	,	,	PUNCT
alkej-138	87	34	and	and	CCONJ
alkej-138	87	35	the	the	DET
alkej-138	87	36	basis	basis	NOUN
alkej-138	87	37	and	and	CCONJ
alkej-138	87	38	reconstruct	reconstruct	VERB
alkej-138	87	39	the	the	DET
alkej-138	87	40	length	length	NOUN
alkej-138	87	41	–	–	PUNCT
alkej-138	87	42	n	n	PRON
alkej-138	87	43	signal	signal	NOUN
alkej-138	87	44	x	x	X
alkej-138	87	45	or	or	CCONJ
alkej-138	87	46	,	,	PUNCT
alkej-138	87	47	equivalently	equivalently	ADV
alkej-138	87	48	,	,	PUNCT
alkej-138	87	49	its	its	PRON
alkej-138	87	50	sparse	sparse	ADJ
alkej-138	87	51	coefficient	coefficient	NOUN
alkej-138	87	52	vector	vector	NOUN
alkej-138	87	53	s.	s.	PROPN
alkej-138	87	54	for	for	ADP
alkej-138	87	55	k	k	ADJ
alkej-138	87	56	-	-	ADJ
alkej-138	87	57	sparse	sparse	ADJ
alkej-138	87	58	signals	signal	NOUN
alkej-138	87	59	,	,	PUNCT
alkej-138	87	60	since	since	SCONJ
alkej-138	87	61	m	m	PROPN
alkej-138	87	62	<	<	X
alkej-138	87	63	n	n	X
alkej-138	87	64	in	in	ADP
alkej-138	87	65	(	(	PUNCT
alkej-138	87	66	2	2	X
alkej-138	87	67	)	)	PUNCT
alkej-138	87	68	there	there	PRON
alkej-138	87	69	are	be	VERB
alkej-138	87	70	infinitely	infinitely	ADV
alkej-138	87	71	many	many	ADJ
alkej-138	87	72	that	that	DET
alkej-138	87	73	satisfy	satisfy	NOUN
alkej-138	87	74	=	=	PUNCT
alkej-138	88	1	y.	y.	NOUN
alkej-138	88	2	this	this	PRON
alkej-138	88	3	is	be	AUX
alkej-138	88	4	because	because	SCONJ
alkej-138	88	5	if	if	SCONJ
alkej-138	88	6	s	s	VERB
alkej-138	88	7	=	=	VERB
alkej-138	88	8	y	y	PROPN
alkej-138	88	9	then	then	ADV
alkej-138	88	10	(	(	PUNCT
alkej-138	88	11	s	s	VERB
alkej-138	88	12	+	+	X
alkej-138	88	13	r	r	NOUN
alkej-138	88	14	)	)	PUNCT
alkej-138	88	15	=	=	SYM
alkej-138	88	16	y	y	PROPN
alkej-138	88	17	for	for	ADP
alkej-138	88	18	any	any	DET
alkej-138	88	19	vector	vector	NOUN
alkej-138	88	20	r	r	NOUN
alkej-138	88	21	in	in	ADP
alkej-138	88	22	the	the	DET
alkej-138	88	23	null	null	ADJ
alkej-138	88	24	space	space	NOUN
alkej-138	88	25	n	n	CCONJ
alkej-138	88	26	(	(	PUNCT
alkej-138	88	27	)	)	PUNCT
alkej-138	88	28	of	of	ADP
alkej-138	88	29	.	.	PUNCT
alkej-138	89	1	therefore	therefore	ADV
alkej-138	89	2	,	,	PUNCT
alkej-138	89	3	the	the	DET
alkej-138	89	4	signal	signal	ADJ
alkej-138	89	5	reconstruction	reconstruction	NOUN
alkej-138	89	6	algorithm	algorithm	NOUN
alkej-138	89	7	aims	aim	VERB
alkej-138	89	8	to	to	PART
alkej-138	89	9	find	find	VERB
alkej-138	89	10	the	the	DET
alkej-138	89	11	signal	signal	NOUN
alkej-138	89	12	’s	’s	PART
alkej-138	89	13	sparse	sparse	ADJ
alkej-138	89	14	coefficient	coefficient	NOUN
alkej-138	89	15	vector	vector	NOUN
alkej-138	89	16	in	in	ADP
alkej-138	89	17	the	the	DET
alkej-138	89	18	(	(	PUNCT
alkej-138	89	19	n	n	CCONJ
alkej-138	89	20	−	−	PROPN
alkej-138	89	21	m)-dimensional	m)-dimensional	ADJ
alkej-138	89	22	translated	translate	VERB
alkej-138	89	23	null	null	ADJ
alkej-138	89	24	space	space	NOUN
alkej-138	89	25	.	.	PUNCT
alkej-138	90	1	aminimum	aminimum	ADJ
alkej-138	90	2	l2	l2	NOUN
alkej-138	90	3	norm	norm	NOUN
alkej-138	90	4	reconstruction	reconstruction	NOUN
alkej-138	90	5	:	:	PUNCT
alkej-138	90	6	define	define	VERB
alkej-138	90	7	the	the	DET
alkej-138	90	8	lp	lp	ADJ
alkej-138	90	9	norm	norm	NOUN
alkej-138	90	10	of	of	ADP
alkej-138	90	11	the	the	DET
alkej-138	90	12	vector	vector	NOUN
alkej-138	90	13	s	s	NOUN
alkej-138	90	14	as	as	ADV
alkej-138	90	15	.	.	PUNCT
alkej-138	91	1	the	the	DET
alkej-138	91	2	classical	classical	ADJ
alkej-138	91	3	approach	approach	NOUN
alkej-138	91	4	to	to	ADP
alkej-138	91	5	inverse	inverse	NOUN
alkej-138	91	6	problems	problem	NOUN
alkej-138	91	7	of	of	ADP
alkej-138	91	8	this	this	DET
alkej-138	91	9	type	type	NOUN
alkej-138	91	10	is	be	AUX
alkej-138	91	11	to	to	PART
alkej-138	91	12	find	find	VERB
alkej-138	91	13	the	the	DET
alkej-138	91	14	vector	vector	NOUN
alkej-138	91	15	in	in	ADP
alkej-138	91	16	the	the	DET
alkej-138	91	17	translated	translate	VERB
alkej-138	91	18	null	null	ADJ
alkej-138	91	19	space	space	NOUN
alkej-138	91	20	with	with	ADP
alkej-138	91	21	the	the	DET
alkej-138	91	22	smallest	small	ADJ
alkej-138	91	23	l2	l2	NOUN
alkej-138	91	24	norm	norm	NOUN
alkej-138	91	25	(	(	PUNCT
alkej-138	91	26	energy	energy	NOUN
alkej-138	91	27	)	)	PUNCT
alkej-138	91	28	by	by	ADP
alkej-138	91	29	solving	solve	VERB
alkej-138	91	30	=	=	PUNCT
alkej-138	91	31	argmin	argmin	VERB
alkej-138	91	32	such	such	ADJ
alkej-138	91	33	that	that	SCONJ
alkej-138	91	34	=	=	PRON
alkej-138	91	35	y	y	PROPN
alkej-138	91	36	…	…	PUNCT
alkej-138	91	37	(	(	PUNCT
alkej-138	91	38	4	4	X
alkej-138	91	39	)	)	PUNCT
alkej-138	91	40	this	this	DET
alkej-138	91	41	optimization	optimization	NOUN
alkej-138	91	42	has	have	VERB
alkej-138	91	43	the	the	DET
alkej-138	91	44	convenient	convenient	ADJ
alkej-138	91	45	closedform	closedform	NOUN
alkej-138	91	46	solution	solution	NOUN
alkej-138	91	47	=	=	SYM
alkej-138	91	48	t	t	PROPN
alkej-138	91	49	(	(	PUNCT
alkej-138	91	50	)	)	PUNCT
alkej-138	91	51	-1	-1	X
alkej-138	91	52	y.	y.	PROPN
alkej-138	91	53	unfortunately	unfortunately	ADV
alkej-138	91	54	,	,	PUNCT
alkej-138	91	55	l2	l2	NOUN
alkej-138	91	56	minimization	minimization	NOUN
alkej-138	91	57	will	will	AUX
alkej-138	91	58	almost	almost	ADV
alkej-138	91	59	never	never	ADV
alkej-138	91	60	find	find	VERB
alkej-138	91	61	a	a	DET
alkej-138	91	62	k	k	ADJ
alkej-138	91	63	-	-	ADJ
alkej-138	91	64	sparse	sparse	ADJ
alkej-138	91	65	solution	solution	NOUN
alkej-138	91	66	,	,	PUNCT
alkej-138	91	67	returning	return	VERB
alkej-138	91	68	instead	instead	ADV
alkej-138	91	69	a	a	DET
alkej-138	91	70	non	non	ADJ
alkej-138	91	71	sparse	sparse	NOUN
alkej-138	91	72	with	with	ADP
alkej-138	91	73	many	many	ADJ
alkej-138	91	74	nonzero	nonzero	ADJ
alkej-138	91	75	elements	element	NOUN
alkej-138	91	76	.	.	PUNCT
alkej-138	92	1	bminimum	bminimum	ADJ
alkej-138	92	2	l0	l0	PROPN
alkej-138	92	3	norm	norm	NOUN
alkej-138	92	4	reconstruction	reconstruction	NOUN
alkej-138	92	5	:	:	PUNCT
alkej-138	92	6	since	since	SCONJ
alkej-138	92	7	the	the	DET
alkej-138	92	8	l2	l2	NOUN
alkej-138	92	9	norm	norm	NOUN
alkej-138	92	10	measures	measure	NOUN
alkej-138	92	11	signal	signal	VERB
alkej-138	92	12	energy	energy	NOUN
alkej-138	92	13	and	and	CCONJ
alkej-138	92	14	not	not	PART
alkej-138	92	15	signal	signal	VERB
alkej-138	92	16	sparsity	sparsity	NOUN
alkej-138	92	17	,	,	PUNCT
alkej-138	92	18	consider	consider	VERB
alkej-138	92	19	the	the	DET
alkej-138	92	20	l0	l0	NOUN
alkej-138	92	21	norm	norm	NOUN
alkej-138	92	22	that	that	PRON
alkej-138	92	23	counts	count	VERB
alkej-138	92	24	the	the	DET
alkej-138	92	25	number	number	NOUN
alkej-138	92	26	of	of	ADP
alkej-138	92	27	non	non	ADJ
alkej-138	92	28	-	-	ADJ
alkej-138	92	29	zero	zero	NUM
alkej-138	92	30	entries	entry	NOUN
alkej-138	92	31	in	in	ADP
alkej-138	92	32	s.	s.	PROPN
alkej-138	92	33	(	(	PUNCT
alkej-138	92	34	hence	hence	ADV
alkej-138	92	35	a	a	DET
alkej-138	92	36	k	k	NOUN
alkej-138	92	37	-	-	ADJ
alkej-138	92	38	sparse	sparse	ADJ
alkej-138	92	39	vector	vector	NOUN
alkej-138	92	40	has	have	VERB
alkej-138	92	41	l0	l0	NOUN
alkej-138	92	42	norm	norm	NOUN
alkej-138	92	43	equal	equal	ADJ
alkej-138	92	44	to	to	ADP
alkej-138	92	45	k	k	PROPN
alkej-138	92	46	)	)	PUNCT
alkej-138	92	47	.	.	PUNCT
alkej-138	93	1	the	the	DET
alkej-138	93	2	modified	modify	VERB
alkej-138	93	3	optimization	optimization	NOUN
alkej-138	93	4	=	=	PUNCT
alkej-138	93	5	argmin	argmin	VERB
alkej-138	93	6	such	such	ADJ
alkej-138	93	7	that	that	SCONJ
alkej-138	93	8	=	=	PRON
alkej-138	93	9	y	y	PROPN
alkej-138	93	10	…	…	PUNCT
alkej-138	93	11	(	(	PUNCT
alkej-138	93	12	5	5	NUM
alkej-138	93	13	)	)	PUNCT
alkej-138	93	14	can	can	AUX
alkej-138	93	15	recover	recover	VERB
alkej-138	93	16	a	a	DET
alkej-138	93	17	k	k	ADJ
alkej-138	93	18	-	-	ADJ
alkej-138	93	19	sparse	sparse	ADJ
alkej-138	93	20	signal	signal	NOUN
alkej-138	93	21	exactly	exactly	ADV
alkej-138	93	22	with	with	ADP
alkej-138	93	23	high	high	ADJ
alkej-138	93	24	probability	probability	NOUN
alkej-138	93	25	using	use	VERB
alkej-138	93	26	only	only	ADV
alkej-138	93	27	m	m	VERB
alkej-138	93	28	=	=	SYM
alkej-138	94	1	k	k	X
alkej-138	95	1	+	+	CCONJ
alkej-138	95	2	1	1	NUM
alkej-138	95	3	iid	iid	VERB
alkej-138	95	4	gaussian	gaussian	ADJ
alkej-138	95	5	measurements	measurement	NOUN
alkej-138	95	6	[	[	X
alkej-138	95	7	5	5	NUM
alkej-138	95	8	]	]	PUNCT
alkej-138	95	9	.	.	PUNCT
alkej-138	96	1	unfortunately	unfortunately	ADV
alkej-138	96	2	,	,	PUNCT
alkej-138	96	3	solving	solve	VERB
alkej-138	96	4	(	(	PUNCT
alkej-138	96	5	5	5	NUM
alkej-138	96	6	)	)	PUNCT
alkej-138	96	7	is	be	AUX
alkej-138	96	8	both	both	PRON
alkej-138	96	9	numerically	numerically	ADV
alkej-138	96	10	unstable	unstable	ADJ
alkej-138	96	11	and	and	CCONJ
alkej-138	96	12	np	np	INTJ
alkej-138	96	13	complete	complete	ADJ
alkej-138	96	14	,	,	PUNCT
alkej-138	96	15	requiring	require	VERB
alkej-138	96	16	an	an	DET
alkej-138	96	17	exhaustive	exhaustive	ADJ
alkej-138	96	18	enumeration	enumeration	NOUN
alkej-138	96	19	of	of	ADP
alkej-138	96	20	all	all	DET
alkej-138	96	21	possible	possible	ADJ
alkej-138	96	22	locations	location	NOUN
alkej-138	96	23	of	of	ADP
alkej-138	96	24	the	the	DET
alkej-138	96	25	nonzero	nonzero	PROPN
alkej-138	96	26	entries	entry	NOUN
alkej-138	96	27	in	in	ADP
alkej-138	96	28	s.	s.	PROPN
alkej-138	96	29	cminimum	cminimum	PROPN
alkej-138	96	30	l1	l1	PROPN
alkej-138	96	31	norm	norm	PROPN
alkej-138	96	32	reconstruction	reconstruction	NOUN
alkej-138	96	33	:	:	PUNCT
alkej-138	96	34	surprisingly	surprisingly	ADV
alkej-138	96	35	,	,	PUNCT
alkej-138	96	36	optimization	optimization	NOUN
alkej-138	96	37	based	base	VERB
alkej-138	96	38	on	on	ADP
alkej-138	96	39	the	the	DET
alkej-138	96	40	l1	l1	PROPN
alkej-138	96	41	norm	norm	NOUN
alkej-138	96	42	=	=	PUNCT
alkej-138	96	43	argmin	argmin	VERB
alkej-138	96	44	such	such	ADJ
alkej-138	96	45	that	that	SCONJ
alkej-138	96	46	=	=	PRON
alkej-138	96	47	y	y	PROPN
alkej-138	96	48	…	…	PUNCT
alkej-138	96	49	(	(	PUNCT
alkej-138	96	50	6	6	NUM
alkej-138	96	51	)	)	PUNCT
alkej-138	96	52	can	can	AUX
alkej-138	96	53	exactly	exactly	ADV
alkej-138	96	54	recover	recover	VERB
alkej-138	96	55	k	k	ADJ
alkej-138	96	56	-	-	ADJ
alkej-138	96	57	sparse	sparse	ADJ
alkej-138	96	58	signals	signal	NOUN
alkej-138	96	59	and	and	CCONJ
alkej-138	96	60	closely	closely	ADV
alkej-138	96	61	approximate	approximate	ADJ
alkej-138	96	62	compressible	compressible	ADJ
alkej-138	96	63	signals	signal	NOUN
alkej-138	96	64	with	with	ADP
alkej-138	96	65	high	high	ADJ
alkej-138	96	66	probability	probability	NOUN
alkej-138	96	67	using	use	VERB
alkej-138	96	68	only	only	ADV
alkej-138	96	69	m	m	VERB
alkej-138	96	70	≥	≥	NOUN
alkej-138	96	71	ck	ck	INTJ
alkej-138	96	72	log(n	log(n	PROPN
alkej-138	96	73	/	/	SYM
alkej-138	96	74	k	k	NOUN
alkej-138	96	75	)	)	PUNCT
alkej-138	96	76	iid	iid	VERB
alkej-138	96	77	gaussian	gaussian	ADJ
alkej-138	96	78	measurements	measurement	NOUN
alkej-138	97	1	[	[	X
alkej-138	97	2	1	1	NUM
alkej-138	97	3	]	]	PUNCT
alkej-138	97	4	,	,	PUNCT
alkej-138	97	5	[	[	X
alkej-138	97	6	2	2	NUM
alkej-138	97	7	]	]	PUNCT
alkej-138	97	8	.	.	PUNCT
alkej-138	98	1	this	this	PRON
alkej-138	98	2	is	be	AUX
alkej-138	98	3	a	a	DET
alkej-138	98	4	convex	convex	ADJ
alkej-138	98	5	optimization	optimization	NOUN
alkej-138	98	6	problem	problem	NOUN
alkej-138	98	7	that	that	PRON
alkej-138	98	8	conveniently	conveniently	ADV
alkej-138	98	9	reduces	reduce	VERB
alkej-138	98	10	to	to	ADP
alkej-138	98	11	a	a	DET
alkej-138	98	12	linear	linear	ADJ
alkej-138	98	13	program	program	NOUN
alkej-138	98	14	known	know	VERB
alkej-138	98	15	as	as	ADP
alkej-138	98	16	basis	basis	NOUN
alkej-138	98	17	pursuit	pursuit	NOUN
alkej-138	98	18	whose	whose	DET
alkej-138	98	19	computational	computational	ADJ
alkej-138	98	20	complexity	complexity	NOUN
alkej-138	98	21	is	be	AUX
alkej-138	98	22	about	about	ADP
alkej-138	98	23	o(n3	o(n3	NOUN
alkej-138	98	24	)	)	PUNCT
alkej-138	98	25	.	.	PUNCT
alkej-138	99	1	2.6	2.6	NUM
alkej-138	99	2	.	.	PUNCT
alkej-138	100	1	the	the	DET
alkej-138	100	2	reason	reason	NOUN
alkej-138	100	3	behind	behind	ADP
alkej-138	100	4	the	the	DET
alkej-138	100	5	convergence	convergence	NOUN
alkej-138	100	6	of	of	ADP
alkej-138	100	7	l1	l1	PROPN
alkej-138	100	8	rather	rather	ADV
alkej-138	100	9	than	than	ADP
alkej-138	100	10	l2	l2	VERB
alkej-138	100	11	the	the	DET
alkej-138	100	12	geometry	geometry	NOUN
alkej-138	100	13	of	of	ADP
alkej-138	100	14	the	the	DET
alkej-138	100	15	compressive	compressive	ADJ
alkej-138	100	16	sensing	sense	VERB
alkej-138	100	17	problem	problem	NOUN
alkej-138	100	18	in	in	ADP
alkej-138	100	19	helps	help	VERB
alkej-138	100	20	visualize	visualize	VERB
alkej-138	100	21	why	why	SCONJ
alkej-138	100	22	l2	l2	NOUN
alkej-138	100	23	reconstruction	reconstruction	NOUN
alkej-138	100	24	fails	fail	VERB
alkej-138	100	25	to	to	PART
alkej-138	100	26	find	find	VERB
alkej-138	100	27	the	the	DET
alkej-138	100	28	sparse	sparse	ADJ
alkej-138	100	29	solution	solution	NOUN
alkej-138	100	30	that	that	PRON
alkej-138	100	31	can	can	AUX
alkej-138	100	32	be	be	AUX
alkej-138	100	33	identified	identify	VERB
alkej-138	100	34	by	by	ADP
alkej-138	100	35	l1	l1	PROPN
alkej-138	100	36	reconstruction	reconstruction	NOUN
alkej-138	100	37	.	.	PUNCT
alkej-138	101	1	the	the	DET
alkej-138	101	2	set	set	NOUN
alkej-138	101	3	of	of	ADP
alkej-138	101	4	all	all	DET
alkej-138	101	5	k	k	ADJ
alkej-138	101	6	-	-	ADJ
alkej-138	101	7	sparse	sparse	ADJ
alkej-138	101	8	vectors	vector	NOUN
alkej-138	101	9	s	s	VERB
alkej-138	101	10	in	in	ADP
alkej-138	101	11	is	be	AUX
alkej-138	101	12	a	a	DET
alkej-138	101	13	highly	highly	ADV
alkej-138	101	14	nonlinear	nonlinear	ADJ
alkej-138	101	15	space	space	NOUN
alkej-138	101	16	consisting	consist	VERB
alkej-138	101	17	of	of	ADP
alkej-138	101	18	all	all	DET
alkej-138	101	19	k	k	ADJ
alkej-138	101	20	-	-	ADJ
alkej-138	101	21	dimensional	dimensional	ADJ
alkej-138	101	22	hyper	hyper	ADJ
alkej-138	101	23	planes	plane	NOUN
alkej-138	101	24	that	that	PRON
alkej-138	101	25	are	be	AUX
alkej-138	101	26	aligned	align	VERB
alkej-138	101	27	with	with	ADP
alkej-138	101	28	the	the	DET
alkej-138	101	29	coordinate	coordinate	NOUN
alkej-138	101	30	axes	axis	NOUN
alkej-138	101	31	as	as	SCONJ
alkej-138	101	32	shown	show	VERB
alkej-138	101	33	in	in	ADP
alkej-138	101	34	fig	fig	NOUN
alkej-138	101	35	.	.	PUNCT
alkej-138	102	1	2(a	2(a	NUM
alkej-138	102	2	)	)	PUNCT
alkej-138	102	3	.	.	PUNCT
alkej-138	103	1	the	the	DET
alkej-138	103	2	translated	translate	VERB
alkej-138	103	3	null	null	ADJ
alkej-138	103	4	space	space	NOUN
alkej-138	103	5	is	be	AUX
alkej-138	103	6	oriented	orient	VERB
alkej-138	103	7	at	at	ADP
alkej-138	103	8	a	a	DET
alkej-138	103	9	random	random	ADJ
alkej-138	103	10	angle	angle	NOUN
alkej-138	103	11	due	due	ADP
alkej-138	103	12	to	to	ADP
alkej-138	103	13	the	the	DET
alkej-138	103	14	randomness	randomness	NOUN
alkej-138	103	15	in	in	ADP
alkej-138	103	16	the	the	DET
alkej-138	103	17	matrix	matrix	NOUN
alkej-138	103	18	as	as	SCONJ
alkej-138	103	19	shown	show	VERB
alkej-138	103	20	in	in	ADP
alkej-138	103	21	fig	fig	NOUN
alkej-138	103	22	.	.	PUNCT
alkej-138	104	1	2(b	2(b	NUM
alkej-138	104	2	)	)	PUNCT
alkej-138	104	3	.	.	PUNCT
alkej-138	105	1	(	(	PUNCT
alkej-138	105	2	in	in	ADP
alkej-138	105	3	practice	practice	NOUN
alkej-138	105	4	n	n	CCONJ
alkej-138	105	5	,	,	PUNCT
alkej-138	105	6	m	m	PROPN
alkej-138	105	7	,	,	PUNCT
alkej-138	105	8	k	k	PROPN
alkej-138	105	9	3	3	NUM
alkej-138	105	10	,	,	PUNCT
alkej-138	105	11	so	so	CCONJ
alkej-138	105	12	any	any	DET
alkej-138	105	13	intuition	intuition	NOUN
alkej-138	105	14	based	base	VERB
alkej-138	105	15	on	on	ADP
alkej-138	105	16	three	three	NUM
alkej-138	105	17	dimensions	dimension	NOUN
alkej-138	105	18	may	may	AUX
alkej-138	105	19	be	be	AUX
alkej-138	105	20	misleading	misleading	ADJ
alkej-138	105	21	)	)	PUNCT
alkej-138	105	22	the	the	DET
alkej-138	105	23	l2	l2	NOUN
alkej-138	105	24	minimizer	minimizer	NOUN
alkej-138	105	25	from	from	ADP
alkej-138	105	26	(	(	PUNCT
alkej-138	105	27	4	4	NUM
alkej-138	105	28	)	)	PUNCT
alkej-138	105	29	is	be	AUX
alkej-138	105	30	the	the	DET
alkej-138	105	31	point	point	NOUN
alkej-138	105	32	on	on	ADP
alkej-138	105	33	closest	close	ADJ
alkej-138	105	34	to	to	ADP
alkej-138	105	35	the	the	DET
alkej-138	105	36	origin	origin	NOUN
alkej-138	105	37	.	.	PUNCT
alkej-138	106	1	this	this	DET
alkej-138	106	2	point	point	NOUN
alkej-138	106	3	can	can	AUX
alkej-138	106	4	be	be	AUX
alkej-138	106	5	found	find	VERB
alkej-138	106	6	by	by	ADP
alkej-138	106	7	blowing	blow	VERB
alkej-138	106	8	up	up	ADP
alkej-138	106	9	a	a	DET
alkej-138	106	10	hyper	hyper	ADJ
alkej-138	106	11	sphere	sphere	NOUN
alkej-138	106	12	(	(	PUNCT
alkej-138	106	13	the	the	DET
alkej-138	106	14	l2	l2	NOUN
alkej-138	106	15	ball	ball	NOUN
alkej-138	106	16	)	)	PUNCT
alkej-138	106	17	until	until	SCONJ
alkej-138	106	18	it	it	PRON
alkej-138	106	19	contacts	contact	NOUN
alkej-138	106	20	.	.	PUNCT
alkej-138	107	1	due	due	ADP
alkej-138	107	2	to	to	ADP
alkej-138	107	3	the	the	DET
alkej-138	107	4	random	random	ADJ
alkej-138	107	5	orientation	orientation	NOUN
alkej-138	107	6	of	of	ADP
alkej-138	107	7	,	,	PUNCT
alkej-138	107	8	the	the	DET
alkej-138	107	9	closest	close	ADJ
alkej-138	107	10	point	point	NOUN
alkej-138	107	11	will	will	AUX
alkej-138	107	12	live	live	VERB
alkej-138	107	13	away	away	ADV
alkej-138	107	14	from	from	ADP
alkej-138	107	15	the	the	DET
alkej-138	107	16	coordinate	coordinate	NOUN
alkej-138	107	17	axes	axis	NOUN
alkej-138	107	18	with	with	ADP
alkej-138	107	19	high	high	ADJ
alkej-138	107	20	probability	probability	NOUN
alkej-138	107	21	and	and	CCONJ
alkej-138	107	22	hence	hence	ADV
alkej-138	107	23	will	will	AUX
alkej-138	107	24	be	be	AUX
alkej-138	107	25	neither	neither	CCONJ
alkej-138	107	26	sparse	sparse	ADJ
alkej-138	107	27	nor	nor	CCONJ
alkej-138	107	28	close	close	ADJ
alkej-138	107	29	to	to	ADP
alkej-138	107	30	the	the	DET
alkej-138	107	31	correct	correct	ADJ
alkej-138	107	32	answer	answer	NOUN
alkej-138	107	33	s.	s.	PROPN
alkej-138	107	34	in	in	ADP
alkej-138	107	35	contrast	contrast	NOUN
alkej-138	107	36	,	,	PUNCT
alkej-138	107	37	the	the	DET
alkej-138	107	38	l1	l1	PROPN
alkej-138	107	39	ball	ball	PROPN
alkej-138	107	40	in	in	ADP
alkej-138	107	41	fig	fig	NOUN
alkej-138	107	42	.	.	PUNCT
alkej-138	108	1	2(c	2(c	NUM
alkej-138	108	2	)	)	PUNCT
alkej-138	108	3	has	have	VERB
alkej-138	108	4	points	point	NOUN
alkej-138	108	5	aligned	align	VERB
alkej-138	108	6	with	with	ADP
alkej-138	108	7	the	the	DET
alkej-138	108	8	coordinate	coordinate	NOUN
alkej-138	108	9	axes	axis	NOUN
alkej-138	108	10	.	.	PUNCT
alkej-138	109	1	therefore	therefore	ADV
alkej-138	109	2	,	,	PUNCT
alkej-138	109	3	when	when	SCONJ
alkej-138	109	4	the	the	DET
alkej-138	109	5	l1	l1	PROPN
alkej-138	109	6	ball	ball	NOUN
alkej-138	109	7	is	be	AUX
alkej-138	109	8	blown	blow	VERB
alkej-138	109	9	up	up	ADP
alkej-138	109	10	,	,	PUNCT
alkej-138	109	11	it	it	PRON
alkej-138	109	12	will	will	AUX
alkej-138	109	13	first	first	ADV
alkej-138	109	14	contact	contact	VERB
alkej-138	109	15	the	the	DET
alkej-138	109	16	translated	translate	VERB
alkej-138	109	17	null	null	ADJ
alkej-138	109	18	space	space	NOUN
alkej-138	109	19	at	at	ADP
alkej-138	109	20	a	a	DET
alkej-138	109	21	point	point	NOUN
alkej-138	109	22	near	near	ADP
alkej-138	109	23	the	the	DET
alkej-138	109	24	coordinate	coordinate	NOUN
alkej-138	109	25	axes	axis	NOUN
alkej-138	109	26	,	,	PUNCT
alkej-138	109	27	which	which	PRON
alkej-138	109	28	is	be	AUX
alkej-138	109	29	precisely	precisely	ADV
alkej-138	109	30	where	where	SCONJ
alkej-138	109	31	the	the	DET
alkej-138	109	32	sparse	sparse	ADJ
alkej-138	109	33	vector	vector	NOUN
alkej-138	109	34	s	s	NOUN
alkej-138	109	35	is	be	AUX
alkej-138	109	36	located	locate	VERB
alkej-138	109	37	.	.	PUNCT
alkej-138	110	1	while	while	SCONJ
alkej-138	110	2	the	the	DET
alkej-138	110	3	focus	focus	NOUN
alkej-138	110	4	here	here	ADV
alkej-138	110	5	has	have	AUX
alkej-138	110	6	been	be	AUX
alkej-138	110	7	on	on	ADP
alkej-138	110	8	discretetime	discretetime	ADJ
alkej-138	110	9	signals	signal	NOUN
alkej-138	110	10	x.	x.	PROPN
alkej-138	110	11	ahmed	ahmed	PROPN
alkej-138	110	12	a.	a.	PROPN
alkej-138	110	13	hashim	hashim	PROPN
alkej-138	110	14	al	al	PROPN
alkej-138	110	15	-	-	PUNCT
alkej-138	110	16	khwarizmi	khwarizmi	PROPN
alkej-138	110	17	engineering	engineering	NOUN
alkej-138	110	18	journal	journal	PROPN
alkej-138	110	19	,	,	PUNCT
alkej-138	110	20	vol	vol	NOUN
alkej-138	110	21	.	.	PROPN
alkej-138	110	22	8	8	NUM
alkej-138	110	23	,	,	PUNCT
alkej-138	110	24	no.3	no.3	VERB
alkej-138	110	25	,	,	PUNCT
alkej-138	110	26	pp	pp	ADP
alkej-138	110	27	5362	5362	NUM
alkej-138	110	28	(	(	PUNCT
alkej-138	110	29	2012	2012	NUM
alkej-138	110	30	)	)	PUNCT
alkej-138	110	31	57	57	NUM
alkej-138	110	32	idct(f2	idct(f2	NOUN
alkej-138	110	33	)	)	PUNCT
alkej-138	110	34	0	0	NUM
alkej-138	111	1	0.01	0.01	NUM
alkej-138	111	2	0.02	0.02	NUM
alkej-138	111	3	0.03	0.03	NUM
alkej-138	111	4	0.04	0.04	NUM
alkej-138	111	5	0.05	0.05	NUM
alkej-138	111	6	-2	-2	NOUN
alkej-138	111	7	-1	-1	NOUN
alkej-138	111	8	0	0	NUM
alkej-138	111	9	1	1	NUM
alkej-138	111	10	2	2	NUM
alkej-138	111	11	f1	f1	NOUN
alkej-138	111	12	=	=	PUNCT
alkej-138	111	13	signal1	signal1	PROPN
alkej-138	111	14	0	0	NUM
alkej-138	111	15	0.01	0.01	NUM
alkej-138	111	16	0.02	0.02	NUM
alkej-138	111	17	0.03	0.03	NUM
alkej-138	111	18	0.04	0.04	NUM
alkej-138	111	19	0.05	0.05	NUM
alkej-138	111	20	-2.5	-2.5	NOUN
alkej-138	111	21	-2	-2	NOUN
alkej-138	111	22	-1.5	-1.5	NUM
alkej-138	111	23	-1	-1	PROPN
alkej-138	112	1	-0.5	-0.5	X
alkej-138	112	2	0	0	NUM
alkej-138	112	3	0.5	0.5	NUM
alkej-138	112	4	1	1	NUM
alkej-138	112	5	1.5	1.5	NUM
alkej-138	112	6	2	2	NUM
alkej-138	112	7	2.5	2.5	NUM
alkej-138	112	8	f2	f2	ADJ
alkej-138	112	9	=	=	SYM
alkej-138	112	10	signal1	signal1	NOUN
alkej-138	112	11	0	0	NUM
alkej-138	112	12	500	500	NUM
alkej-138	112	13	1000	1000	NUM
alkej-138	112	14	1500	1500	NUM
alkej-138	112	15	2000	2000	NUM
alkej-138	112	16	2500	2500	NUM
alkej-138	112	17	3000	3000	NUM
alkej-138	112	18	3500	3500	NUM
alkej-138	112	19	4000	4000	NUM
alkej-138	112	20	-10	-10	SYM
alkej-138	112	21	0	0	NUM
alkej-138	112	22	10	10	NUM
alkej-138	112	23	20	20	NUM
alkej-138	112	24	30	30	NUM
alkej-138	112	25	idct(f1	idct(f1	NOUN
alkej-138	112	26	)	)	PUNCT
alkej-138	112	27	1000	1000	NUM
alkej-138	112	28	1500	1500	NUM
alkej-138	112	29	2000	2000	NUM
alkej-138	112	30	2500	2500	NUM
alkej-138	112	31	3000	3000	NUM
alkej-138	112	32	3500	3500	NUM
alkej-138	112	33	-30	-30	NUM
alkej-138	112	34	-20	-20	NUM
alkej-138	112	35	-10	-10	SYM
alkej-138	112	36	0	0	NUM
alkej-138	112	37	10	10	NUM
alkej-138	112	38	20	20	NUM
alkej-138	112	39	30	30	NUM
alkej-138	112	40	40	40	NUM
alkej-138	112	41	50	50	NUM
alkej-138	112	42	idct(f2	idct(f2	NOUN
alkej-138	112	43	)	)	PUNCT
alkej-138	112	44	fig	fig	NOUN
alkej-138	112	45	.	.	PUNCT
alkej-138	113	1	2	2	X
alkej-138	113	2	.	.	X
alkej-138	113	3	(	(	PUNCT
alkej-138	113	4	a	a	X
alkej-138	113	5	)	)	PUNCT
alkej-138	113	6	subspaces	subspace	NOUN
alkej-138	113	7	with	with	ADP
alkej-138	113	8	two	two	NUM
alkej-138	113	9	sparse	sparse	ADJ
alkej-138	113	10	vectors	vector	NOUN
alkej-138	113	11	in	in	ADP
alkej-138	113	12	r3	r3	PROPN
alkej-138	113	13	lie	lie	VERB
alkej-138	113	14	close	close	ADV
alkej-138	113	15	to	to	ADP
alkej-138	113	16	the	the	DET
alkej-138	113	17	coordinate	coordinate	NOUN
alkej-138	113	18	axes	axis	NOUN
alkej-138	113	19	.	.	PUNCT
alkej-138	114	1	(	(	PUNCT
alkej-138	114	2	b	b	X
alkej-138	114	3	)	)	PUNCT
alkej-138	114	4	visualization	visualization	NOUN
alkej-138	114	5	of	of	ADP
alkej-138	114	6	the	the	DET
alkej-138	114	7	l2	l2	NOUN
alkej-138	114	8	minimization	minimization	NOUN
alkej-138	114	9	(	(	PUNCT
alkej-138	114	10	5	5	NUM
alkej-138	114	11	)	)	PUNCT
alkej-138	114	12	that	that	PRON
alkej-138	114	13	finds	find	VERB
alkej-138	114	14	the	the	DET
alkej-138	114	15	non	non	ADJ
alkej-138	114	16	-	-	ADJ
alkej-138	114	17	sparse	sparse	ADJ
alkej-138	114	18	point	point	NOUN
alkej-138	114	19	-	-	PUNCT
alkej-138	114	20	of	of	ADP
alkej-138	114	21	-	-	PUNCT
alkej-138	114	22	contact	contact	NOUN
alkej-138	114	23	s	s	NOUN
alkej-138	114	24	between	between	ADP
alkej-138	114	25	the	the	DET
alkej-138	114	26	2	2	NUM
alkej-138	114	27	ball	ball	NOUN
alkej-138	114	28	(	(	PUNCT
alkej-138	114	29	hyper	hyper	NOUN
alkej-138	114	30	-	-	NOUN
alkej-138	114	31	sphere	sphere	ADJ
alkej-138	114	32	,	,	PUNCT
alkej-138	114	33	in	in	ADP
alkej-138	114	34	red	red	NOUN
alkej-138	114	35	)	)	PUNCT
alkej-138	114	36	and	and	CCONJ
alkej-138	114	37	the	the	DET
alkej-138	114	38	translated	translate	VERB
alkej-138	114	39	measurement	measurement	NOUN
alkej-138	114	40	matrix	matrix	NOUN
alkej-138	114	41	null	null	NOUN
alkej-138	114	42	space	space	NOUN
alkej-138	114	43	(	(	PUNCT
alkej-138	114	44	in	in	ADP
alkej-138	114	45	green	green	NOUN
alkej-138	114	46	)	)	PUNCT
alkej-138	114	47	.	.	PUNCT
alkej-138	115	1	(	(	PUNCT
alkej-138	115	2	c	c	X
alkej-138	115	3	)	)	PUNCT
alkej-138	115	4	visualization	visualization	NOUN
alkej-138	115	5	of	of	ADP
alkej-138	115	6	the	the	DET
alkej-138	115	7	l1	l1	PROPN
alkej-138	115	8	minimization	minimization	NOUN
alkej-138	115	9	solution	solution	NOUN
alkej-138	115	10	that	that	PRON
alkej-138	115	11	finds	find	VERB
alkej-138	115	12	the	the	DET
alkej-138	115	13	sparse	sparse	ADJ
alkej-138	115	14	point	point	VERB
alkej-138	115	15	-	-	PUNCT
alkej-138	115	16	of	of	ADP
alkej-138	115	17	-	-	PUNCT
alkej-138	115	18	contact	contact	NOUN
alkej-138	115	19	s	s	NOUN
alkej-138	115	20	with	with	ADP
alkej-138	115	21	high	high	ADJ
alkej-138	115	22	probability	probability	NOUN
alkej-138	115	23	thanks	thank	NOUN
alkej-138	115	24	to	to	ADP
alkej-138	115	25	the	the	DET
alkej-138	115	26	pointiness	pointiness	NOUN
alkej-138	115	27	of	of	ADP
alkej-138	115	28	the	the	DET
alkej-138	115	29	l1	l1	PROPN
alkej-138	115	30	ball	ball	PROPN
alkej-138	115	31	.	.	PUNCT
alkej-138	116	1	3	3	X
alkej-138	116	2	.	.	X
alkej-138	116	3	simulation	simulation	NOUN
alkej-138	116	4	results	result	VERB
alkej-138	116	5	three	three	NUM
alkej-138	116	6	types	type	NOUN
alkej-138	116	7	of	of	ADP
alkej-138	116	8	signals	signal	NOUN
alkej-138	116	9	are	be	AUX
alkej-138	116	10	taken	take	VERB
alkej-138	116	11	,	,	PUNCT
alkej-138	116	12	based	base	VERB
alkej-138	116	13	on	on	ADP
alkej-138	116	14	complexity	complexity	NOUN
alkej-138	116	15	in	in	ADP
alkej-138	116	16	time	time	NOUN
alkej-138	116	17	domain	domain	NOUN
alkej-138	116	18	and	and	CCONJ
alkej-138	116	19	in	in	ADP
alkej-138	116	20	terms	term	NOUN
alkej-138	116	21	of	of	ADP
alkej-138	116	22	sparsity	sparsity	NOUN
alkej-138	116	23	,	,	PUNCT
alkej-138	116	24	see	see	VERB
alkej-138	116	25	fig	fig	NOUN
alkej-138	116	26	.	.	PUNCT
alkej-138	117	1	3	3	X
alkej-138	117	2	.	.	X
alkej-138	117	3	these	these	DET
alkej-138	117	4	signals	signal	NOUN
alkej-138	117	5	are	be	AUX
alkej-138	117	6	sampled	sample	VERB
alkej-138	117	7	and	and	CCONJ
alkej-138	117	8	then	then	ADV
alkej-138	117	9	reconstructed	reconstruct	VERB
alkej-138	117	10	from	from	ADP
alkej-138	117	11	few	few	ADJ
alkej-138	117	12	randomly	randomly	ADV
alkej-138	117	13	selected	select	VERB
alkej-138	117	14	samples	sample	NOUN
alkej-138	117	15	,	,	PUNCT
alkej-138	117	16	fig	fig	NOUN
alkej-138	117	17	.	.	PUNCT
alkej-138	118	1	4	4	NUM
alkej-138	118	2	shows	show	VERB
alkej-138	118	3	the	the	DET
alkej-138	118	4	sampling	sampling	NOUN
alkej-138	118	5	of	of	ADP
alkej-138	118	6	the	the	DET
alkej-138	118	7	first	first	ADJ
alkej-138	118	8	signal	signal	NOUN
alkej-138	118	9	of	of	ADP
alkej-138	118	10	cutoff	cutoff	NOUN
alkej-138	118	11	frequency	frequency	NOUN
alkej-138	118	12	1.633khz	1.633khz	NOUN
alkej-138	118	13	with	with	ADP
alkej-138	118	14	sampling	sample	VERB
alkej-138	118	15	frequency	frequency	NOUN
alkej-138	118	16	of	of	ADP
alkej-138	118	17	14khz	14khz	NOUN
alkej-138	118	18	and	and	CCONJ
alkej-138	118	19	then	then	ADV
alkej-138	118	20	taking	take	VERB
alkej-138	118	21	randomly	randomly	ADV
alkej-138	118	22	10	10	NUM
alkej-138	118	23	%	%	NOUN
alkej-138	118	24	of	of	ADP
alkej-138	118	25	these	these	DET
alkej-138	118	26	samples	sample	NOUN
alkej-138	118	27	to	to	PART
alkej-138	118	28	reconstruct	reconstruct	VERB
alkej-138	118	29	the	the	DET
alkej-138	118	30	signal	signal	NOUN
alkej-138	118	31	.	.	PUNCT
alkej-138	119	1	the	the	DET
alkej-138	119	2	figure	figure	NOUN
alkej-138	119	3	shows	show	VERB
alkej-138	119	4	that	that	SCONJ
alkej-138	119	5	reconstruction	reconstruction	NOUN
alkej-138	119	6	with	with	ADP
alkej-138	119	7	l1	l1	PROPN
alkej-138	119	8	–	–	PUNCT
alkej-138	119	9	norm	norm	NOUN
alkej-138	119	10	is	be	AUX
alkej-138	119	11	accurate	accurate	ADJ
alkej-138	119	12	with	with	ADP
alkej-138	119	13	psnr	psnr	NOUN
alkej-138	119	14	of	of	ADP
alkej-138	119	15	20.5db	20.5db	NUM
alkej-138	119	16	while	while	SCONJ
alkej-138	119	17	reconstructing	reconstruct	VERB
alkej-138	119	18	using	use	VERB
alkej-138	119	19	l2	l2	NOUN
alkej-138	119	20	–	–	PUNCT
alkej-138	119	21	norm	norm	NOUN
alkej-138	119	22	was	be	AUX
alkej-138	119	23	very	very	ADV
alkej-138	119	24	pad	pad	NOUN
alkej-138	119	25	and	and	CCONJ
alkej-138	119	26	gave	give	VERB
alkej-138	119	27	meaningless	meaningless	ADJ
alkej-138	119	28	results	result	NOUN
alkej-138	119	29	.	.	PUNCT
alkej-138	120	1	fig	fig	NOUN
alkej-138	120	2	.	.	PUNCT
alkej-138	121	1	5	5	NUM
alkej-138	121	2	shows	show	VERB
alkej-138	121	3	the	the	DET
alkej-138	121	4	original	original	ADJ
alkej-138	121	5	signal3	signal3	NOUN
alkej-138	121	6	(	(	PUNCT
alkej-138	121	7	with	with	ADP
alkej-138	121	8	highest	high	ADJ
alkej-138	121	9	sparsity	sparsity	NOUN
alkej-138	121	10	)	)	PUNCT
alkej-138	121	11	with	with	ADP
alkej-138	121	12	cutoff	cutoff	NOUN
alkej-138	121	13	frequency	frequency	NOUN
alkej-138	121	14	of	of	ADP
alkej-138	121	15	1633	1633	NUM
alkej-138	121	16	and	and	CCONJ
alkej-138	121	17	the	the	DET
alkej-138	121	18	reconstructed	reconstructed	ADJ
alkej-138	121	19	one	one	NUM
alkej-138	121	20	with	with	ADP
alkej-138	121	21	different	different	ADJ
alkej-138	121	22	random	random	ADJ
alkej-138	121	23	samples	sample	NOUN
alkej-138	121	24	(	(	PUNCT
alkej-138	121	25	m)/total	m)/total	ADJ
alkej-138	121	26	samples	sample	NOUN
alkej-138	121	27	(	(	PUNCT
alkej-138	121	28	n	n	CCONJ
alkej-138	121	29	)	)	PUNCT
alkej-138	121	30	rations	ration	NOUN
alkej-138	121	31	.	.	PUNCT
alkej-138	122	1	ahmed	ahmed	PROPN
alkej-138	122	2	a.	a.	PROPN
alkej-138	122	3	hashim	hashim	PROPN
alkej-138	122	4	al	al	PROPN
alkej-138	122	5	-	-	PUNCT
alkej-138	122	6	khwarizmi	khwarizmi	PROPN
alkej-138	122	7	engineering	engineering	NOUN
alkej-138	122	8	journal	journal	PROPN
alkej-138	122	9	,	,	PUNCT
alkej-138	122	10	vol	vol	NOUN
alkej-138	122	11	.	.	PROPN
alkej-138	122	12	8	8	NUM
alkej-138	122	13	,	,	PUNCT
alkej-138	122	14	no.3	no.3	VERB
alkej-138	122	15	,	,	PUNCT
alkej-138	122	16	pp	pp	ADP
alkej-138	122	17	5362	5362	NUM
alkej-138	122	18	(	(	PUNCT
alkej-138	122	19	2012	2012	NUM
alkej-138	122	20	)	)	PUNCT
alkej-138	122	21	58	58	NUM
alkej-138	122	22	0	0	NUM
alkej-138	122	23	0.002	0.002	NUM
alkej-138	122	24	0.004	0.004	NUM
alkej-138	122	25	0.006	0.006	NUM
alkej-138	122	26	0.008	0.008	NUM
alkej-138	122	27	0.01	0.01	NUM
alkej-138	122	28	-2	-2	NOUN
alkej-138	122	29	-1.5	-1.5	NUM
alkej-138	122	30	-1	-1	PROPN
alkej-138	123	1	-0.5	-0.5	X
alkej-138	123	2	0	0	NUM
alkej-138	123	3	0.5	0.5	NUM
alkej-138	123	4	1	1	NUM
alkej-138	123	5	1.5	1.5	NUM
alkej-138	123	6	2	2	NUM
alkej-138	123	7	f3	f3	NOUN
alkej-138	123	8	=	=	PUNCT
alkej-138	123	9	signal3	signal3	NOUN
alkej-138	123	10	2600	2600	NUM
alkej-138	123	11	2800	2800	NUM
alkej-138	123	12	3000	3000	NUM
alkej-138	123	13	3200	3200	NUM
alkej-138	123	14	3400	3400	NUM
alkej-138	123	15	3600	3600	NUM
alkej-138	123	16	3800	3800	NUM
alkej-138	123	17	-20	-20	SYM
alkej-138	123	18	0	0	NUM
alkej-138	123	19	20	20	NUM
alkej-138	123	20	40	40	NUM
alkej-138	123	21	60	60	NUM
alkej-138	123	22	80	80	NUM
alkej-138	123	23	idct(f3	idct(f3	NOUN
alkej-138	123	24	)	)	PUNCT
alkej-138	123	25	.005	.005	NUM
alkej-138	123	26	.010	.010	NUM
alkej-138	123	27	.015	.015	NUM
alkej-138	123	28	.020	.020	NUM
alkej-138	123	29	.025	.025	NUM
alkej-138	123	30	.030	.030	NUM
alkej-138	123	31	-1	-1	SYM
alkej-138	123	32	0	0	NUM
alkej-138	123	33	1	1	NUM
alkej-138	123	34	0	0	NUM
alkej-138	123	35	100	100	NUM
alkej-138	123	36	200	200	NUM
alkej-138	123	37	300	300	NUM
alkej-138	123	38	400	400	NUM
alkej-138	123	39	-10	-10	PUNCT
alkej-138	123	40	-5	-5	NOUN
alkej-138	123	41	0	0	NUM
alkej-138	123	42	5	5	NUM
alkej-138	123	43	10	10	NUM
alkej-138	123	44	0	0	NUM
alkej-138	123	45	100	100	NUM
alkej-138	123	46	200	200	NUM
alkej-138	123	47	300	300	NUM
alkej-138	123	48	400	400	NUM
alkej-138	123	49	-10	-10	PUNCT
alkej-138	123	50	-5	-5	NOUN
alkej-138	123	51	0	0	NUM
alkej-138	123	52	5	5	NUM
alkej-138	123	53	10	10	NUM
alkej-138	123	54	.005	.005	NUM
alkej-138	123	55	.010	.010	NUM
alkej-138	123	56	.015	.015	NUM
alkej-138	123	57	.020	.020	NUM
alkej-138	123	58	.025	.025	NUM
alkej-138	123	59	.030	.030	NUM
alkej-138	123	60	-1	-1	SYM
alkej-138	123	61	0	0	NUM
alkej-138	123	62	1	1	NUM
alkej-138	123	63	0	0	NUM
alkej-138	123	64	100	100	NUM
alkej-138	123	65	200	200	NUM
alkej-138	123	66	300	300	NUM
alkej-138	123	67	400	400	NUM
alkej-138	123	68	-10	-10	PUNCT
alkej-138	123	69	-5	-5	NOUN
alkej-138	123	70	0	0	NUM
alkej-138	123	71	5	5	NUM
alkej-138	123	72	10	10	NUM
alkej-138	123	73	.005	.005	NUM
alkej-138	123	74	.010	.010	NUM
alkej-138	123	75	.015	.015	NUM
alkej-138	123	76	.020	.020	NUM
alkej-138	123	77	.025	.025	NUM
alkej-138	123	78	.030	.030	NUM
alkej-138	123	79	-1	-1	SYM
alkej-138	123	80	0	0	NUM
alkej-138	123	81	1	1	NUM
alkej-138	123	82	wave=	wave=	NUM
alkej-138	123	83	signal	signal	NOUN
alkej-138	123	84	=	=	SYM
alkej-138	123	85	f1	f1	NOUN
alkej-138	123	86	,	,	PUNCT
alkej-138	123	87	points	point	NOUN
alkej-138	123	88	=	=	SYM
alkej-138	123	89	random	random	ADJ
alkej-138	123	90	sample	sample	NOUN
alkej-138	123	91	=	=	SYM
alkej-138	123	92	10	10	NUM
alkej-138	123	93	%	%	NOUN
alkej-138	123	94	of	of	ADP
alkej-138	123	95	fs	fs	ADP
alkej-138	123	96	idct	idct	ADJ
alkej-138	123	97	(	(	PUNCT
alkej-138	123	98	f1	f1	PROPN
alkej-138	123	99	)	)	PUNCT
alkej-138	123	100	dct	dct	PROPN
alkej-138	123	101	(	(	PUNCT
alkej-138	123	102	x	x	NOUN
alkej-138	123	103	)	)	PUNCT
alkej-138	123	104	y	y	NOUN
alkej-138	123	105	=	=	PUNCT
alkej-138	123	106	l2	l2	NOUN
alkej-138	123	107	solution	solution	NOUN
alkej-138	123	108	,	,	PUNCT
alkej-138	123	109	a*y	a*y	PROPN
alkej-138	123	110	=	=	SYM
alkej-138	123	111	b	b	X
alkej-138	123	112	idct	idct	ADJ
alkej-138	123	113	(	(	PUNCT
alkej-138	123	114	y	y	NOUN
alkej-138	123	115	)	)	PUNCT
alkej-138	123	116	x	x	X
alkej-138	124	1	=	=	PUNCT
alkej-138	124	2	l1	l1	PROPN
alkej-138	124	3	solution	solution	NOUN
alkej-138	124	4	,	,	PUNCT
alkej-138	124	5	a*x	a*x	PROPN
alkej-138	124	6	=	=	SYM
alkej-138	124	7	b	b	PROPN
alkej-138	124	8	fig	fig	NOUN
alkej-138	124	9	.	.	PUNCT
alkej-138	125	1	3	3	X
alkej-138	125	2	.	.	NOUN
alkej-138	125	3	three	three	NUM
alkej-138	125	4	time	time	NOUN
alkej-138	125	5	domain	domain	NOUN
alkej-138	125	6	signals	signal	NOUN
alkej-138	125	7	with	with	ADP
alkej-138	125	8	their	their	PRON
alkej-138	125	9	idct	idct	VERB
alkej-138	125	10	.	.	PUNCT
alkej-138	126	1	fig	fig	NOUN
alkej-138	126	2	.	.	PUNCT
alkej-138	127	1	4	4	X
alkej-138	127	2	.	.	X
alkej-138	127	3	a	a	DET
alkej-138	127	4	)	)	PUNCT
alkej-138	127	5	signal	signal	NOUN
alkej-138	127	6	and	and	CCONJ
alkej-138	127	7	its	its	PRON
alkej-138	127	8	random	random	ADJ
alkej-138	127	9	samples	sample	NOUN
alkej-138	127	10	b	b	X
alkej-138	127	11	)	)	PUNCT
alkej-138	127	12	its	its	PRON
alkej-138	127	13	sparse	sparse	ADJ
alkej-138	127	14	representation	representation	NOUN
alkej-138	127	15	in	in	ADP
alkej-138	127	16	idct	idct	PROPN
alkej-138	127	17	c	c	NOUN
alkej-138	127	18	)	)	PUNCT
alkej-138	127	19	reconstruction	reconstruction	NOUN
alkej-138	127	20	using	use	VERB
alkej-138	127	21	l1	l1	PROPN
alkej-138	127	22	in	in	ADP
alkej-138	127	23	the	the	DET
alkej-138	127	24	sparse	sparse	ADJ
alkej-138	127	25	domain	domain	NOUN
alkej-138	127	26	d	d	NOUN
alkej-138	127	27	)	)	PUNCT
alkej-138	127	28	reconstructed	reconstructed	ADJ
alkej-138	127	29	signal	signal	NOUN
alkej-138	127	30	using	use	VERB
alkej-138	127	31	l1	l1	PROPN
alkej-138	127	32	e	e	PROPN
alkej-138	127	33	)	)	PUNCT
alkej-138	127	34	reconstruction	reconstruction	NOUN
alkej-138	127	35	using	use	VERB
alkej-138	127	36	l2	l2	NOUN
alkej-138	127	37	in	in	ADP
alkej-138	127	38	the	the	DET
alkej-138	127	39	sparse	sparse	ADJ
alkej-138	127	40	domain	domain	NOUN
alkej-138	127	41	f	f	X
alkej-138	127	42	)	)	PUNCT
alkej-138	127	43	reconstructed	reconstructed	ADJ
alkej-138	127	44	signal	signal	NOUN
alkej-138	127	45	.	.	PUNCT
alkej-138	128	1	ahmed	ahmed	PROPN
alkej-138	128	2	a.	a.	PROPN
alkej-138	128	3	hashim	hashim	PROPN
alkej-138	128	4	al	al	PROPN
alkej-138	128	5	-	-	PUNCT
alkej-138	128	6	khwarizmi	khwarizmi	PROPN
alkej-138	128	7	engineering	engineering	NOUN
alkej-138	128	8	journal	journal	PROPN
alkej-138	128	9	,	,	PUNCT
alkej-138	128	10	vol	vol	NOUN
alkej-138	128	11	.	.	PROPN
alkej-138	128	12	8	8	NUM
alkej-138	128	13	,	,	PUNCT
alkej-138	128	14	no.3	no.3	VERB
alkej-138	128	15	,	,	PUNCT
alkej-138	128	16	pp	pp	ADP
alkej-138	128	17	5362	5362	NUM
alkej-138	128	18	(	(	PUNCT
alkej-138	128	19	2012	2012	NUM
alkej-138	128	20	)	)	PUNCT
alkej-138	128	21	59	59	NUM
alkej-138	128	22	(	(	PUNCT
alkej-138	128	23	a	a	NOUN
alkej-138	128	24	)	)	PUNCT
alkej-138	128	25	original	original	ADJ
alkej-138	128	26	and	and	CCONJ
alkej-138	128	27	reconstructed	reconstructed	ADJ
alkej-138	128	28	signal	signal	NOUN
alkej-138	128	29	with	with	ADP
alkej-138	128	30	m	m	PROPN
alkej-138	128	31	/	/	SYM
alkej-138	128	32	n	n	PROPN
alkej-138	128	33	=	=	NOUN
alkej-138	128	34	0.8	0.8	NUM
alkej-138	128	35	,	,	PUNCT
alkej-138	128	36	psnr	psnr	NOUN
alkej-138	128	37	=	=	NOUN
alkej-138	128	38	38.6	38.6	NUM
alkej-138	128	39	.	.	PUNCT
alkej-138	129	1	(	(	PUNCT
alkej-138	129	2	b	b	X
alkej-138	129	3	)	)	PUNCT
alkej-138	129	4	original	original	ADJ
alkej-138	129	5	and	and	CCONJ
alkej-138	129	6	reconstructed	reconstructed	ADJ
alkej-138	129	7	signal	signal	NOUN
alkej-138	129	8	with	with	ADP
alkej-138	129	9	m	m	PROPN
alkej-138	129	10	/	/	SYM
alkej-138	129	11	n	n	PROPN
alkej-138	129	12	=	=	SYM
alkej-138	129	13	0.5	0.5	NUM
alkej-138	129	14	,	,	PUNCT
alkej-138	129	15	psnr	psnr	NOUN
alkej-138	129	16	=	=	NOUN
alkej-138	129	17	32	32	NUM
alkej-138	129	18	.	.	NOUN
alkej-138	129	19	0	0	NUM
alkej-138	129	20	0.005	0.005	NUM
alkej-138	129	21	0.01	0.01	NUM
alkej-138	129	22	0.015	0.015	NUM
alkej-138	129	23	-2	-2	NOUN
alkej-138	129	24	-1.5	-1.5	NUM
alkej-138	130	1	-1	-1	PROPN
alkej-138	130	2	-0.5	-0.5	X
alkej-138	130	3	0	0	NUM
alkej-138	130	4	0.5	0.5	NUM
alkej-138	130	5	1	1	NUM
alkej-138	130	6	1.5	1.5	NUM
alkej-138	130	7	2	2	NUM
alkej-138	130	8	0	0	NUM
alkej-138	130	9	0.005	0.005	NUM
alkej-138	130	10	0.01	0.01	NUM
alkej-138	130	11	0.015	0.015	NUM
alkej-138	130	12	-2	-2	NOUN
alkej-138	131	1	-1.5	-1.5	NUM
alkej-138	131	2	-1	-1	PROPN
alkej-138	131	3	-0.5	-0.5	X
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alkej-138	131	7	1.5	1.5	NUM
alkej-138	131	8	2	2	NUM
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alkej-138	131	10	0.005	0.005	NUM
alkej-138	131	11	0.01	0.01	NUM
alkej-138	131	12	0.015	0.015	NUM
alkej-138	132	1	-2	-2	NOUN
alkej-138	133	1	-1.5	-1.5	NUM
alkej-138	133	2	-1	-1	PROPN
alkej-138	133	3	-0.5	-0.5	X
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alkej-138	133	5	0.5	0.5	NUM
alkej-138	133	6	1	1	NUM
alkej-138	133	7	1.5	1.5	NUM
alkej-138	133	8	2	2	NUM
alkej-138	133	9	0	0	NUM
alkej-138	133	10	0.005	0.005	NUM
alkej-138	133	11	0.01	0.01	NUM
alkej-138	133	12	0.015	0.015	NUM
alkej-138	134	1	-2	-2	NOUN
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alkej-138	135	2	-1	-1	PROPN
alkej-138	136	1	-0.5	-0.5	X
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alkej-138	136	3	0.5	0.5	NUM
alkej-138	136	4	1	1	NUM
alkej-138	136	5	1.5	1.5	NUM
alkej-138	136	6	2	2	NUM
alkej-138	136	7	0	0	NUM
alkej-138	136	8	0.005	0.005	NUM
alkej-138	136	9	0.01	0.01	NUM
alkej-138	136	10	0.015	0.015	NUM
alkej-138	136	11	-2	-2	NOUN
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alkej-138	136	14	1	1	NUM
alkej-138	136	15	2	2	NUM
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alkej-138	136	19	0.015	0.015	NUM
alkej-138	136	20	-2	-2	NOUN
alkej-138	136	21	-1.5	-1.5	NUM
alkej-138	136	22	-1	-1	PROPN
alkej-138	137	1	-0.5	-0.5	X
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alkej-138	137	5	1.5	1.5	NUM
alkej-138	137	6	2	2	NUM
alkej-138	137	7	0	0	NUM
alkej-138	137	8	0.005	0.005	NUM
alkej-138	137	9	0.01	0.01	NUM
alkej-138	137	10	0.015	0.015	NUM
alkej-138	137	11	-2	-2	NOUN
alkej-138	137	12	-1.5	-1.5	NUM
alkej-138	137	13	-1	-1	PROPN
alkej-138	137	14	-0.5	-0.5	X
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alkej-138	137	17	1	1	NUM
alkej-138	137	18	1.5	1.5	NUM
alkej-138	137	19	2	2	NUM
alkej-138	137	20	0	0	NUM
alkej-138	137	21	0.005	0.005	NUM
alkej-138	137	22	0.01	0.01	NUM
alkej-138	137	23	0.015	0.015	NUM
alkej-138	137	24	-2	-2	NOUN
alkej-138	137	25	-1.5	-1.5	NUM
alkej-138	137	26	-1	-1	PROPN
alkej-138	138	1	-0.5	-0.5	X
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alkej-138	138	3	0.5	0.5	NUM
alkej-138	138	4	1	1	NUM
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alkej-138	138	6	2	2	NUM
alkej-138	138	7	(	(	PUNCT
alkej-138	138	8	c	c	NOUN
alkej-138	138	9	)	)	PUNCT
alkej-138	138	10	original	original	ADJ
alkej-138	138	11	and	and	CCONJ
alkej-138	138	12	reconstructed	reconstructed	ADJ
alkej-138	138	13	signal	signal	NOUN
alkej-138	138	14	with	with	ADP
alkej-138	138	15	m	m	PROPN
alkej-138	138	16	/	/	SYM
alkej-138	138	17	n	n	PROPN
alkej-138	138	18	=	=	SYM
alkej-138	138	19	0.1	0.1	NUM
alkej-138	138	20	,	,	PUNCT
alkej-138	138	21	psnr	psnr	NOUN
alkej-138	138	22	=	=	NOUN
alkej-138	138	23	21	21	NUM
alkej-138	138	24	.	.	PUNCT
alkej-138	139	1	(	(	PUNCT
alkej-138	139	2	d	d	X
alkej-138	139	3	)	)	PUNCT
alkej-138	139	4	original	original	ADJ
alkej-138	139	5	and	and	CCONJ
alkej-138	139	6	reconstructed	reconstructed	ADJ
alkej-138	139	7	signal	signal	NOUN
alkej-138	139	8	with	with	ADP
alkej-138	139	9	m	m	PROPN
alkej-138	139	10	/	/	SYM
alkej-138	139	11	n	n	PROPN
alkej-138	139	12	=	=	NOUN
alkej-138	139	13	0.05	0.05	NUM
alkej-138	139	14	,	,	PUNCT
alkej-138	139	15	psnr	psnr	NOUN
alkej-138	139	16	=	=	NOUN
alkej-138	139	17	19.6	19.6	NUM
alkej-138	139	18	.	.	PUNCT
alkej-138	140	1	ahmed	ahmed	PROPN
alkej-138	140	2	a.	a.	PROPN
alkej-138	140	3	hashim	hashim	PROPN
alkej-138	140	4	al	al	PROPN
alkej-138	140	5	-	-	PUNCT
alkej-138	140	6	khwarizmi	khwarizmi	PROPN
alkej-138	140	7	engineering	engineering	NOUN
alkej-138	140	8	journal	journal	PROPN
alkej-138	140	9	,	,	PUNCT
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alkej-138	140	12	8	8	NUM
alkej-138	140	13	,	,	PUNCT
alkej-138	140	14	no.3	no.3	VERB
alkej-138	140	15	,	,	PUNCT
alkej-138	140	16	pp	pp	ADP
alkej-138	140	17	5362	5362	NUM
alkej-138	140	18	(	(	PUNCT
alkej-138	140	19	2012	2012	NUM
alkej-138	140	20	)	)	PUNCT
alkej-138	140	21	60	60	NUM
alkej-138	140	22	0	0	NUM
alkej-138	140	23	0.005	0.005	NUM
alkej-138	140	24	0.01	0.01	NUM
alkej-138	140	25	0.015	0.015	NUM
alkej-138	140	26	-2	-2	NOUN
alkej-138	140	27	-1.5	-1.5	NUM
alkej-138	140	28	-1	-1	PROPN
alkej-138	140	29	-0.5	-0.5	X
alkej-138	140	30	0	0	NUM
alkej-138	140	31	0.5	0.5	NUM
alkej-138	140	32	1	1	NUM
alkej-138	140	33	1.5	1.5	NUM
alkej-138	140	34	2	2	NUM
alkej-138	140	35	0	0	NUM
alkej-138	140	36	0.005	0.005	NUM
alkej-138	140	37	0.01	0.01	NUM
alkej-138	140	38	0.015	0.015	NUM
alkej-138	140	39	-2	-2	NOUN
alkej-138	140	40	-1.5	-1.5	NUM
alkej-138	140	41	-1	-1	PROPN
alkej-138	140	42	-0.5	-0.5	X
alkej-138	140	43	0	0	NUM
alkej-138	140	44	0.5	0.5	NUM
alkej-138	140	45	1	1	NUM
alkej-138	140	46	1.5	1.5	NUM
alkej-138	140	47	2	2	NUM
alkej-138	140	48	fig	fig	NOUN
alkej-138	140	49	.	.	PUNCT
alkej-138	141	1	5	5	NUM
alkej-138	141	2	.	.	X
alkej-138	141	3	original	original	ADJ
alkej-138	141	4	and	and	CCONJ
alkej-138	141	5	reconstructed	reconstructed	ADJ
alkej-138	141	6	signal	signal	NOUN
alkej-138	141	7	with	with	ADP
alkej-138	141	8	different	different	ADJ
alkej-138	141	9	m	m	PROPN
alkej-138	141	10	/	/	SYM
alkej-138	141	11	n	n	PRON
alkej-138	141	12	ratios	ratio	NOUN
alkej-138	141	13	and	and	CCONJ
alkej-138	141	14	the	the	DET
alkej-138	141	15	psnr	psnr	NOUN
alkej-138	141	16	for	for	ADP
alkej-138	141	17	them	they	PRON
alkej-138	141	18	,	,	PUNCT
alkej-138	141	19	the	the	DET
alkej-138	141	20	cutoff	cutoff	NOUN
alkej-138	141	21	frequency	frequency	NOUN
alkej-138	141	22	of	of	ADP
alkej-138	141	23	the	the	DET
alkej-138	141	24	signal	signal	NOUN
alkej-138	141	25	is	be	AUX
alkej-138	141	26	1.63khz	1.63khz	NUM
alkej-138	141	27	and	and	CCONJ
alkej-138	141	28	fs	fs	ADP
alkej-138	141	29	=	=	PUNCT
alkej-138	141	30	14khz	14khz	NOUN
alkej-138	141	31	0	0	NUM
alkej-138	141	32	0.1	0.1	NUM
alkej-138	141	33	0.2	0.2	NUM
alkej-138	141	34	0.3	0.3	NUM
alkej-138	141	35	0.4	0.4	NUM
alkej-138	141	36	0.5	0.5	NUM
alkej-138	141	37	0.6	0.6	NUM
alkej-138	141	38	0.7	0.7	NUM
alkej-138	141	39	0.8	0.8	NUM
alkej-138	141	40	5	5	NUM
alkej-138	141	41	10	10	NUM
alkej-138	141	42	15	15	NUM
alkej-138	141	43	20	20	NUM
alkej-138	141	44	25	25	NUM
alkej-138	141	45	30	30	NUM
alkej-138	141	46	35	35	NUM
alkej-138	141	47	40	40	NUM
alkej-138	141	48	45	45	NUM
alkej-138	141	49	50	50	NUM
alkej-138	141	50	55	55	NUM
alkej-138	141	51	signal3	signal3	NOUN
alkej-138	141	52	signal2	signal2	PROPN
alkej-138	141	53	signal1	signal1	PROPN
alkej-138	141	54	fig	fig	PROPN
alkej-138	141	55	.	.	PUNCT
alkej-138	142	1	6	6	NUM
alkej-138	142	2	.	.	PUNCT
alkej-138	142	3	the	the	DET
alkej-138	142	4	psnr	psnr	NOUN
alkej-138	142	5	versus	versus	ADP
alkej-138	142	6	m	m	PROPN
alkej-138	142	7	/	/	SYM
alkej-138	142	8	n	n	PRON
alkej-138	142	9	ratio	ratio	NOUN
alkej-138	142	10	for	for	ADP
alkej-138	142	11	the	the	DET
alkej-138	142	12	three	three	NUM
alkej-138	142	13	under	under	ADP
alkej-138	142	14	testing	testing	NOUN
alkej-138	142	15	signals	signal	NOUN
alkej-138	142	16	.	.	PUNCT
alkej-138	143	1	e	e	X
alkej-138	143	2	)	)	PUNCT
alkej-138	143	3	original	original	ADJ
alkej-138	143	4	and	and	CCONJ
alkej-138	143	5	reconstructed	reconstructed	ADJ
alkej-138	143	6	signal	signal	NOUN
alkej-138	143	7	with	with	ADP
alkej-138	143	8	m	m	PROPN
alkej-138	143	9	/	/	SYM
alkej-138	143	10	n	n	PROPN
alkej-138	143	11	=	=	NOUN
alkej-138	143	12	0.02	0.02	NUM
alkej-138	143	13	,	,	PUNCT
alkej-138	143	14	psnr	psnr	NOUN
alkej-138	143	15	=	=	NOUN
alkej-138	143	16	12.5	12.5	NUM
alkej-138	143	17	from	from	ADP
alkej-138	143	18	fig.5	fig.5	PROPN
alkej-138	143	19	,	,	PUNCT
alkej-138	143	20	one	one	PRON
alkej-138	143	21	can	can	AUX
alkej-138	143	22	see	see	VERB
alkej-138	143	23	the	the	DET
alkej-138	143	24	good	good	ADJ
alkej-138	143	25	reconstruction	reconstruction	NOUN
alkej-138	143	26	even	even	ADV
alkej-138	143	27	when	when	SCONJ
alkej-138	143	28	the	the	DET
alkej-138	143	29	m	m	PROPN
alkej-138	143	30	/	/	SYM
alkej-138	143	31	n	n	PROPN
alkej-138	143	32	ratio	ratio	NOUN
alkej-138	143	33	is	be	AUX
alkej-138	143	34	small	small	ADJ
alkej-138	143	35	;	;	PUNCT
alkej-138	143	36	the	the	DET
alkej-138	143	37	psnr	psnr	NOUN
alkej-138	143	38	for	for	ADP
alkej-138	143	39	each	each	DET
alkej-138	143	40	case	case	NOUN
alkej-138	143	41	reflects	reflect	VERB
alkej-138	143	42	the	the	DET
alkej-138	143	43	goodness	goodness	NOUN
alkej-138	143	44	of	of	ADP
alkej-138	143	45	reconstruction	reconstruction	NOUN
alkej-138	143	46	.	.	PUNCT
alkej-138	144	1	fig	fig	NOUN
alkej-138	144	2	.	.	PUNCT
alkej-138	145	1	6	6	NUM
alkej-138	145	2	shows	show	VERB
alkej-138	145	3	the	the	DET
alkej-138	145	4	psnr	psnr	NOUN
alkej-138	145	5	versus	versus	ADP
alkej-138	145	6	m	m	PROPN
alkej-138	145	7	/	/	SYM
alkej-138	145	8	n	n	PRON
alkej-138	145	9	ratio	ratio	NOUN
alkej-138	145	10	for	for	ADP
alkej-138	145	11	the	the	DET
alkej-138	145	12	three	three	NUM
alkej-138	145	13	under	under	ADP
alkej-138	145	14	testing	testing	NOUN
alkej-138	145	15	signals	signal	NOUN
alkej-138	145	16	,	,	PUNCT
alkej-138	145	17	from	from	ADP
alkej-138	145	18	the	the	DET
alkej-138	145	19	figure	figure	NOUN
alkej-138	145	20	one	one	PRON
alkej-138	145	21	can	can	AUX
alkej-138	145	22	see	see	VERB
alkej-138	145	23	that	that	PRON
alkej-138	145	24	as	as	ADP
alkej-138	145	25	the	the	DET
alkej-138	145	26	sparsity	sparsity	NOUN
alkej-138	145	27	of	of	ADP
alkej-138	145	28	the	the	DET
alkej-138	145	29	signal	signal	NOUN
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alkej-138	145	31	;	;	PUNCT
alkej-138	145	32	the	the	DET
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alkej-138	145	34	with	with	ADP
alkej-138	145	35	lower	low	ADJ
alkej-138	145	36	m	m	NOUN
alkej-138	145	37	/	/	SYM
alkej-138	145	38	n	n	PROPN
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alkej-138	145	40	is	be	AUX
alkej-138	145	41	possible	possible	ADJ
alkej-138	145	42	.	.	PUNCT
alkej-138	146	1	it	it	PRON
alkej-138	146	2	is	be	AUX
alkej-138	146	3	important	important	ADJ
alkej-138	146	4	here	here	ADV
alkej-138	146	5	to	to	PART
alkej-138	146	6	say	say	VERB
alkej-138	146	7	that	that	SCONJ
alkej-138	146	8	since	since	SCONJ
alkej-138	146	9	the	the	DET
alkej-138	146	10	reconstruction	reconstruction	NOUN
alkej-138	146	11	process	process	NOUN
alkej-138	146	12	is	be	AUX
alkej-138	146	13	based	base	VERB
alkej-138	146	14	on	on	ADP
alkej-138	146	15	random	random	ADJ
alkej-138	146	16	sampling	sampling	NOUN
alkej-138	146	17	;	;	PUNCT
alkej-138	146	18	the	the	DET
alkej-138	146	19	psnr	psnr	NOUN
alkej-138	146	20	gained	gain	VERB
alkej-138	146	21	may	may	AUX
alkej-138	146	22	vary	vary	VERB
alkej-138	146	23	based	base	VERB
alkej-138	146	24	on	on	ADP
alkej-138	146	25	(	(	PUNCT
alkej-138	146	26	by	by	ADP
alkej-138	146	27	chance	chance	NOUN
alkej-138	146	28	)	)	PUNCT
alkej-138	146	29	hitting	hit	VERB
alkej-138	146	30	the	the	DET
alkej-138	146	31	target	target	NOUN
alkej-138	146	32	(	(	PUNCT
alkej-138	146	33	the	the	DET
alkej-138	146	34	random	random	ADJ
alkej-138	146	35	samples	sample	NOUN
alkej-138	146	36	takes	take	VERB
alkej-138	146	37	the	the	DET
alkej-138	146	38	largest	large	ADJ
alkej-138	146	39	values	value	NOUN
alkej-138	146	40	of	of	ADP
alkej-138	146	41	the	the	DET
alkej-138	146	42	signal	signal	NOUN
alkej-138	146	43	in	in	ADP
alkej-138	146	44	the	the	DET
alkej-138	146	45	sparse	sparse	ADJ
alkej-138	146	46	domain	domain	NOUN
alkej-138	146	47	)	)	PUNCT
alkej-138	146	48	it	it	PRON
alkej-138	146	49	is	be	AUX
alkej-138	146	50	convenient	convenient	ADJ
alkej-138	146	51	here	here	ADV
alkej-138	146	52	to	to	PART
alkej-138	146	53	say	say	VERB
alkej-138	146	54	that	that	SCONJ
alkej-138	146	55	compressive	compressive	ADJ
alkej-138	146	56	sensing	sensing	NOUN
alkej-138	146	57	also	also	ADV
alkej-138	146	58	applies	apply	VERB
alkej-138	146	59	to	to	PART
alkej-138	146	60	sparse	sparse	VERB
alkej-138	146	61	or	or	CCONJ
alkej-138	146	62	compressible	compressible	ADJ
alkej-138	146	63	analog	analog	NOUN
alkej-138	146	64	signals	signal	NOUN
alkej-138	146	65	x(t	x(t	PROPN
alkej-138	146	66	)	)	PUNCT
alkej-138	146	67	as	as	ADV
alkej-138	146	68	well	well	ADV
alkej-138	146	69	as	as	ADP
alkej-138	146	70	digital	digital	ADJ
alkej-138	146	71	ones	one	NOUN
alkej-138	146	72	4	4	NUM
alkej-138	146	73	.	.	PUNCT
alkej-138	147	1	conclusions	conclusion	NOUN
alkej-138	147	2	signal	signal	VERB
alkej-138	147	3	acquisition	acquisition	NOUN
alkej-138	147	4	based	base	VERB
alkej-138	147	5	on	on	ADP
alkej-138	147	6	compressive	compressive	ADJ
alkej-138	147	7	sensing	sensing	NOUN
alkej-138	147	8	can	can	AUX
alkej-138	147	9	be	be	AUX
alkej-138	147	10	more	more	ADV
alkej-138	147	11	efficient	efficient	ADJ
alkej-138	147	12	than	than	ADP
alkej-138	147	13	traditional	traditional	ADJ
alkej-138	147	14	sampling	sampling	NOUN
alkej-138	147	15	for	for	ADP
alkej-138	147	16	sparse	sparse	ADJ
alkej-138	147	17	or	or	CCONJ
alkej-138	147	18	compressible	compressible	ADJ
alkej-138	147	19	signals	signal	NOUN
alkej-138	147	20	.	.	PUNCT
alkej-138	148	1	in	in	ADP
alkej-138	148	2	compressive	compressive	ADJ
alkej-138	148	3	sensing	sensing	NOUN
alkej-138	148	4	,	,	PUNCT
alkej-138	148	5	the	the	DET
alkej-138	148	6	familiar	familiar	ADJ
alkej-138	148	7	least	least	ADJ
alkej-138	148	8	squares	square	NOUN
alkej-138	148	9	optimization	optimization	NOUN
alkej-138	148	10	is	be	AUX
alkej-138	148	11	inadequate	inadequate	ADJ
alkej-138	148	12	for	for	ADP
alkej-138	148	13	signal	signal	ADJ
alkej-138	148	14	reconstruction	reconstruction	NOUN
alkej-138	148	15	,	,	PUNCT
alkej-138	148	16	and	and	CCONJ
alkej-138	148	17	other	other	ADJ
alkej-138	148	18	types	type	NOUN
alkej-138	148	19	of	of	ADP
alkej-138	148	20	convex	convex	NOUN
alkej-138	148	21	optimization	optimization	NOUN
alkej-138	148	22	must	must	AUX
alkej-138	148	23	be	be	AUX
alkej-138	148	24	invoked	invoke	VERB
alkej-138	148	25	.	.	PUNCT
alkej-138	149	1	the	the	DET
alkej-138	149	2	cs	cs	PROPN
alkej-138	149	3	is	be	AUX
alkej-138	149	4	nonlinear	nonlinear	ADJ
alkej-138	149	5	sampling	sampling	NOUN
alkej-138	149	6	,	,	PUNCT
alkej-138	149	7	so	so	SCONJ
alkej-138	149	8	that	that	SCONJ
alkej-138	149	9	it	it	PRON
alkej-138	149	10	is	be	AUX
alkej-138	149	11	an	an	DET
alkej-138	149	12	arbitrary	arbitrary	ADJ
alkej-138	149	13	and	and	CCONJ
alkej-138	149	14	unknown	unknown	ADJ
alkej-138	149	15	set	set	NOUN
alkej-138	149	16	of	of	ADP
alkej-138	149	17	size	size	NOUN
alkej-138	149	18	k	k	PROPN
alkej-138	149	19	,	,	PUNCT
alkej-138	149	20	exact	exact	ADJ
alkej-138	149	21	recovered	recover	VERB
alkej-138	149	22	from	from	ADP
alkej-138	149	23	cklog(n	cklog(n	PROPN
alkej-138	149	24	/	/	SYM
alkej-138	149	25	k	k	NOUN
alkej-138	149	26	)	)	PUNCT
alkej-138	149	27	(	(	PUNCT
alkej-138	149	28	almost	almost	ADV
alkej-138	149	29	)	)	PUNCT
alkej-138	149	30	arbitrarily	arbitrarily	ADV
alkej-138	149	31	placed	place	VERB
alkej-138	149	32	samples	sample	NOUN
alkej-138	149	33	,	,	PUNCT
alkej-138	149	34	and	and	CCONJ
alkej-138	149	35	nonlinear	nonlinear	ADJ
alkej-138	149	36	reconstruction	reconstruction	NOUN
alkej-138	149	37	by	by	ADP
alkej-138	149	38	convex	convex	NOUN
alkej-138	149	39	programming	programming	NOUN
alkej-138	149	40	.	.	PUNCT
alkej-138	150	1	it	it	PRON
alkej-138	150	2	is	be	AUX
alkej-138	150	3	important	important	ADJ
alkej-138	150	4	to	to	PART
alkej-138	150	5	mention	mention	VERB
alkej-138	150	6	here	here	ADV
alkej-138	150	7	that	that	SCONJ
alkej-138	150	8	the	the	DET
alkej-138	150	9	mp3	mp3	NOUN
alkej-138	150	10	and	and	CCONJ
alkej-138	150	11	jpeg	jpeg	NOUN
alkej-138	150	12	files	file	NOUN
alkej-138	150	13	used	use	VERB
alkej-138	150	14	by	by	ADP
alkej-138	150	15	today	today	NOUN
alkej-138	150	16	’s	’s	PART
alkej-138	150	17	audio	audio	NOUN
alkej-138	150	18	systems	system	NOUN
alkej-138	150	19	and	and	CCONJ
alkej-138	150	20	digital	digital	ADJ
alkej-138	150	21	cameras	camera	NOUN
alkej-138	150	22	are	be	AUX
alkej-138	150	23	already	already	ADV
alkej-138	150	24	compressed	compress	VERB
alkej-138	150	25	in	in	ADP
alkej-138	150	26	such	such	DET
alkej-138	150	27	a	a	DET
alkej-138	150	28	way	way	NOUN
alkej-138	150	29	that	that	PRON
alkej-138	150	30	exact	exact	ADJ
alkej-138	150	31	reconstruction	reconstruction	NOUN
alkej-138	150	32	of	of	ADP
alkej-138	150	33	the	the	DET
alkej-138	150	34	original	original	ADJ
alkej-138	150	35	signals	signal	NOUN
alkej-138	150	36	and	and	CCONJ
alkej-138	150	37	images	image	NOUN
alkej-138	150	38	is	be	AUX
alkej-138	150	39	impossible	impossible	ADJ
alkej-138	150	40	.	.	PUNCT
alkej-138	151	1	ahmed	ahmed	PROPN
alkej-138	151	2	a.	a.	PROPN
alkej-138	151	3	hashim	hashim	PROPN
alkej-138	151	4	al	al	PROPN
alkej-138	151	5	-	-	PUNCT
alkej-138	151	6	khwarizmi	khwarizmi	PROPN
alkej-138	151	7	engineering	engineering	NOUN
alkej-138	151	8	journal	journal	PROPN
alkej-138	151	9	,	,	PUNCT
alkej-138	151	10	vol	vol	NOUN
alkej-138	151	11	.	.	PROPN
alkej-138	151	12	8	8	NUM
alkej-138	151	13	,	,	PUNCT
alkej-138	151	14	no.3	no.3	VERB
alkej-138	151	15	,	,	PUNCT
alkej-138	151	16	pp	pp	ADP
alkej-138	151	17	5362	5362	NUM
alkej-138	151	18	(	(	PUNCT
alkej-138	151	19	2012	2012	NUM
alkej-138	151	20	)	)	PUNCT
alkej-138	151	21	61	61	NUM
alkej-138	151	22	5	5	NUM
alkej-138	151	23	.	.	PUNCT
alkej-138	151	24	references	reference	NOUN
alkej-138	151	25	[	[	X
alkej-138	151	26	1	1	NUM
alkej-138	151	27	]	]	X
alkej-138	151	28	justin	justin	PROPN
alkej-138	151	29	romberg	romberg	PROPN
alkej-138	151	30	and	and	CCONJ
alkej-138	151	31	michael	michael	PROPN
alkej-138	151	32	wakin	wakin	PROPN
alkej-138	151	33	''	''	PUNCT
alkej-138	151	34	compressed	compress	VERB
alkej-138	151	35	sensing	sensing	NOUN
alkej-138	151	36	:	:	PUNCT
alkej-138	151	37	a	a	DET
alkej-138	151	38	tutorial	tutorial	NOUN
alkej-138	151	39	''	''	PUNCT
alkej-138	151	40	,	,	PUNCT
alkej-138	151	41	ieee	ieee	NOUN
alkej-138	151	42	statistical	statistical	ADJ
alkej-138	151	43	signal	signal	NOUN
alkej-138	151	44	processing	processing	NOUN
alkej-138	151	45	workshop	workshop	NOUN
alkej-138	151	46	,	,	PUNCT
alkej-138	151	47	madison	madison	PROPN
alkej-138	151	48	,	,	PUNCT
alkej-138	151	49	wisconsin	wisconsin	PROPN
alkej-138	151	50	,	,	PUNCT
alkej-138	151	51	2007	2007	NUM
alkej-138	151	52	.	.	PUNCT
alkej-138	152	1	[	[	X
alkej-138	152	2	2	2	NUM
alkej-138	152	3	]	]	X
alkej-138	152	4	albert	albert	PROPN
alkej-138	152	5	cohen	cohen	PROPN
alkej-138	152	6	,	,	PUNCT
alkej-138	152	7	et	et	PROPN
alkej-138	152	8	al	al	PROPN
alkej-138	152	9	.	.	PUNCT
alkej-138	152	10	''	''	PUNCT
alkej-138	152	11	compressed	compress	VERB
alkej-138	152	12	sensing	sensing	NOUN
alkej-138	152	13	and	and	CCONJ
alkej-138	152	14	best	good	ADJ
alkej-138	152	15	k	k	ADJ
alkej-138	152	16	-	-	PUNCT
alkej-138	152	17	term	term	NOUN
alkej-138	152	18	approximation	approximation	NOUN
alkej-138	152	19	''	''	PUNCT
alkej-138	152	20	,	,	PUNCT
alkej-138	152	21	naval	naval	ADJ
alkej-138	152	22	resarch	resarch	NOUN
alkej-138	152	23	contracts	contract	NOUN
alkej-138	152	24	onr	onr	ADJ
alkej-138	152	25	-	-	PUNCT
alkej-138	152	26	n00014	n00014	NOUN
alkej-138	152	27	-	-	PUNCT
alkej-138	152	28	03	03	NUM
alkej-138	152	29	-	-	PUNCT
alkej-138	152	30	1	1	NUM
alkej-138	152	31	-	-	PUNCT
alkej-138	152	32	0051	0051	NUM
alkej-138	152	33	,	,	PUNCT
alkej-138	152	34	2006	2006	NUM
alkej-138	152	35	[	[	X
alkej-138	152	36	3	3	X
alkej-138	152	37	]	]	X
alkej-138	152	38	yin	yin	PROPN
alkej-138	152	39	zhang	zhang	PROPN
alkej-138	152	40	''	''	PUNCT
alkej-138	152	41	on	on	ADP
alkej-138	152	42	theory	theory	NOUN
alkej-138	152	43	of	of	ADP
alkej-138	152	44	compressive	compressive	ADJ
alkej-138	152	45	sensing	sensing	NOUN
alkej-138	152	46	via	via	ADP
alkej-138	152	47	l1	l1	PROPN
alkej-138	152	48	-	-	PUNCT
alkej-138	152	49	minimization	minimization	NOUN
alkej-138	152	50	:	:	PUNCT
alkej-138	152	51	simple	simple	ADJ
alkej-138	152	52	derivations	derivation	NOUN
alkej-138	152	53	and	and	CCONJ
alkej-138	152	54	extensions	extension	NOUN
alkej-138	152	55	''	''	PUNCT
alkej-138	152	56	,	,	PUNCT
alkej-138	152	57	caam	caam	PROPN
alkej-138	152	58	technical	technical	PROPN
alkej-138	152	59	report	report	PROPN
alkej-138	152	60	tr08	tr08	PROPN
alkej-138	152	61	-	-	PUNCT
alkej-138	152	62	11	11	NUM
alkej-138	152	63	,	,	PUNCT
alkej-138	152	64	2008	2008	NUM
alkej-138	153	1	[	[	X
alkej-138	153	2	4	4	X
alkej-138	153	3	]	]	PUNCT
alkej-138	153	4	emmanuel	emmanuel	PROPN
alkej-138	153	5	cand`es	cand`es	PROPN
alkej-138	153	6	and	and	CCONJ
alkej-138	153	7	justin	justin	PROPN
alkej-138	153	8	romberg	romberg	PROPN
alkej-138	153	9	''	''	PUNCT
alkej-138	153	10	l1magic	l1magic	NOUN
alkej-138	153	11	:	:	PUNCT
alkej-138	153	12	recovery	recovery	NOUN
alkej-138	153	13	of	of	ADP
alkej-138	153	14	sparse	sparse	ADJ
alkej-138	153	15	signals	signal	NOUN
alkej-138	153	16	via	via	ADP
alkej-138	153	17	convex	convex	PROPN
alkej-138	153	18	programming	programming	NOUN
alkej-138	153	19	''	''	PUNCT
alkej-138	153	20	,	,	PUNCT
alkej-138	153	21	2005	2005	NUM
alkej-138	154	1	[	[	X
alkej-138	154	2	5	5	NUM
alkej-138	154	3	]	]	PUNCT
alkej-138	154	4	alyson	alyson	PROPN
alkej-138	154	5	k.	k.	PROPN
alkej-138	154	6	fletcher	fletcher	PROPN
alkej-138	154	7	''	''	PUNCT
alkej-138	154	8	necessary	necessary	ADJ
alkej-138	154	9	and	and	CCONJ
alkej-138	154	10	sufficient	sufficient	ADJ
alkej-138	154	11	conditions	condition	NOUN
alkej-138	154	12	for	for	ADP
alkej-138	154	13	sparsity	sparsity	NOUN
alkej-138	154	14	pattern	pattern	NOUN
alkej-138	154	15	recovery	recovery	NOUN
alkej-138	154	16	''	''	PUNCT
alkej-138	154	17	,	,	PUNCT
alkej-138	154	18	ieee	ieee	NOUN
alkej-138	154	19	,	,	PUNCT
alkej-138	154	20	revision	revision	NOUN
alkej-138	154	21	of	of	ADP
alkej-138	154	22	arxiv:0804.1839v1	arxiv:0804.1839v1	NOUN
alkej-138	154	23	[	[	X
alkej-138	154	24	cs.it	cs.it	X
alkej-138	154	25	]	]	X
alkej-138	154	26	,	,	PUNCT
alkej-138	154	27	2009	2009	NUM
alkej-138	154	28	[	[	X
alkej-138	154	29	6	6	NUM
alkej-138	154	30	]	]	PUNCT
alkej-138	154	31	cleves	clef	NOUN
alkej-138	154	32	corner	corner	NOUN
alkej-138	154	33	''	''	PUNCT
alkej-138	154	34	the	the	DET
alkej-138	154	35	world	world	NOUN
alkej-138	154	36	's	's	PART
alkej-138	154	37	simplest	simple	ADJ
alkej-138	154	38	impossible	impossible	ADJ
alkej-138	154	39	problem	problem	NOUN
alkej-138	154	40	''	''	PUNCT
alkej-138	154	41	,	,	PUNCT
alkej-138	154	42	the	the	DET
alkej-138	154	43	mathworks	mathworks	PROPN
alkej-138	154	44	newsletter	newsletter	NOUN
alkej-138	154	45	,	,	PUNCT
alkej-138	154	46	vol.4	vol.4	PROPN
alkej-138	154	47	,	,	PUNCT
alkej-138	154	48	no	no	INTJ
alkej-138	154	49	.	.	NOUN
alkej-138	154	50	2	2	NUM
alkej-138	154	51	,	,	PUNCT
alkej-138	154	52	1990	1990	NUM
alkej-138	154	53	[	[	X
alkej-138	154	54	7	7	X
alkej-138	154	55	]	]	PUNCT
alkej-138	154	56	p.	p.	NOUN
alkej-138	154	57	wojtaszczyk	wojtaszczyk	VERB
alkej-138	154	58	''	''	PUNCT
alkej-138	154	59	stability	stability	NOUN
alkej-138	154	60	of	of	ADP
alkej-138	154	61	l1	l1	PROPN
alkej-138	154	62	minimisation	minimisation	NOUN
alkej-138	154	63	in	in	ADP
alkej-138	154	64	compressed	compress	VERB
alkej-138	154	65	sensing'',2009	sensing'',2009	X
alkej-138	155	1	[	[	X
alkej-138	155	2	8	8	NUM
alkej-138	155	3	]	]	X
alkej-138	155	4	yin	yin	PROPN
alkej-138	155	5	zhang	zhang	PROPN
alkej-138	155	6	''	''	PUNCT
alkej-138	155	7	when	when	SCONJ
alkej-138	155	8	is	be	AUX
alkej-138	155	9	missing	miss	VERB
alkej-138	155	10	data	datum	NOUN
alkej-138	155	11	recoverable	recoverable	ADJ
alkej-138	155	12	?	?	PUNCT
alkej-138	155	13	''	''	PUNCT
alkej-138	156	1	,	,	PUNCT
alkej-138	156	2	caam	caam	PROPN
alkej-138	156	3	technical	technical	PROPN
alkej-138	156	4	report	report	PROPN
alkej-138	156	5	tr06	tr06	PROPN
alkej-138	156	6	-	-	PUNCT
alkej-138	156	7	15	15	NUM
alkej-138	156	8	,	,	PUNCT
alkej-138	156	9	2006	2006	NUM
alkej-138	156	10	[	[	X
alkej-138	156	11	9	9	NUM
alkej-138	156	12	]	]	X
alkej-138	156	13	kaichun	kaichun	PROPN
alkej-138	156	14	k.	k.	PROPN
alkej-138	156	15	chang	chang	PROPN
alkej-138	156	16	,	,	PUNCT
alkej-138	156	17	…	…	PUNCT
alkej-138	156	18	etal	etal	ADJ
alkej-138	156	19	,	,	PUNCT
alkej-138	156	20	“	"	PUNCT
alkej-138	156	21	sub	sub	ADJ
alkej-138	156	22	-	-	ADJ
alkej-138	156	23	nyquist	nyquist	ADJ
alkej-138	156	24	audio	audio	NOUN
alkej-138	156	25	fingerprinting	fingerprinting	NOUN
alkej-138	156	26	for	for	ADP
alkej-138	156	27	music	music	NOUN
alkej-138	156	28	recognition	recognition	NOUN
alkej-138	156	29	”	"	PUNCT
alkej-138	156	30	,	,	PUNCT
alkej-138	156	31	2010	2010	NUM
alkej-138	156	32	)	)	PUNCT
alkej-138	156	33	2012	2012	NUM
alkej-138	156	34	(	(	PUNCT
alkej-138	156	35	5362	5362	NUM
alkej-138	156	36	،	،	NOUN
alkej-138	156	37	صفحة	صفحة	PROPN
alkej-138	156	38	3	3	NUM
alkej-138	156	39	،	،	NOUN
alkej-138	156	40	العدد	العدد	PROPN
alkej-138	156	41	8مجلة	8مجلة	NUM
alkej-138	156	42	الخوارزمي	الخوارزمي	ADJ
alkej-138	156	43	الھندسیة	الھندسیة	PROPN
alkej-138	156	44	المجلد	المجلد	PROPN
alkej-138	156	45	ھاشم	ھاشم	PROPN
alkej-138	156	46	أحمد	أحمد	PROPN
alkej-138	156	47	عبد	عبد	PROPN
alkej-138	156	48	الصاحب	الصاحب	NOUN
alkej-138	156	49	62	62	NUM
alkej-138	156	50	نایكویستقل	نایكویستقل	ADJ
alkej-138	156	51	من	من	INTJ
alkej-138	156	52	أبإستعمال	أبإستعمال	PROPN
alkej-138	156	53	تردد	تردد	PROPN
alkej-138	156	54	ءوكف	ءوكف	PROPN
alkej-138	156	55	صوت	صوت	PROPN
alkej-138	156	56	ضغط	ضغط	PROPN
alkej-138	156	57	ھاشم	ھاشم	PROPN
alkej-138	156	58	الصاحبأحمد	الصاحبأحمد	PROPN
alkej-138	156	59	عبد	عبد	PROPN
alkej-138	156	60	جامعة	جامعة	PROPN
alkej-138	156	61	بغداد	بغداد	PROPN
alkej-138	156	62	/تللبنا	/تللبنا	ADP
alkej-138	156	63	كلیة	كلیة	PROPN
alkej-138	156	64	العلوم/	العلوم/	NUM
alkej-138	156	65	الحاسوبقسم	الحاسوبقسم	PROPN
alkej-138	156	66	علوم	علوم	NOUN
alkej-138	156	67	dreng.ahmed@yahoo.com	dreng.ahmed@yahoo.com	X
alkej-138	156	68	اللكترونيا	اللكترونيا	PROPN
alkej-138	156	69	البرید	البرید	PROPN
alkej-138	156	70	:	:	PUNCT
alkej-138	156	71	الخالصة	الخالصة	PROPN
alkej-138	156	72	ھذا	ھذا	PROPN
alkej-138	156	73	النوع	النوع	VERB
alkej-138	156	74	من	من	PRON
alkej-138	156	75	الضغط	الضغط	PROPN
alkej-138	156	76	.	.	PUNCT
alkej-138	157	1	المتناثرعینة	المتناثرعینة	PROPN
alkej-138	157	2	عشوائیة	عشوائیة	PROPN
alkej-138	157	3	من	من	PROPN
alkej-138	157	4	إشارة	إشارة	PROPN
alkej-138	157	5	الصوت	الصوت	PROPN
alkej-138	157	6	ال	ال	ADP
alkej-138	157	7	معلى	معلى	NOUN
alkej-138	157	8	أساس	أساس	NOUN
alkej-138	157	9	مفھوسریع	مفھوسریع	ADV
alkej-138	157	10	وفعال	وفعال	PROPN
alkej-138	157	11	ألخذ	ألخذ	PROPN
alkej-138	157	12	العینات	العینات	PROPN
alkej-138	157	13	تعرض	تعرض	NOUN
alkej-138	157	14	ھذه	ھذه	PROPN
alkej-138	157	15	الورقة	الورقة	PROPN
alkej-138	157	16	تطبیق	تطبیق	PROPN
alkej-138	157	17	إطار	إطار	PROPN
alkej-138	157	18	ضغط	ضغط	PROPN
alkej-138	157	19	تشكیل	تشكیل	PROPN
alkej-138	157	20	االشاره	االشاره	PROPN
alkej-138	157	21	الصوتیة	الصوتیة	PROPN
alkej-138	157	22	بالضبط	بالضبط	PROPN
alkej-138	157	23	القیاسات	القیاسات	NOUN
alkej-138	157	24	المطلوبة	المطلوبة	PROPN
alkej-138	157	25	إلعادة	إلعادة	PROPN
alkej-138	157	26	عدد	عدد	PROPN
alkej-138	157	27	)	)	PUNCT
alkej-138	157	28	ب(متناثرة	ب(متناثرة	NOUN
alkej-138	157	29	الشارات	الشارات	PROPN
alkej-138	157	30	اإلمجموعة	اإلمجموعة	VERB
alkej-138	157	31	متنوعة	متنوعة	PROPN
alkej-138	158	1	من	من	INTJ
alkej-138	158	2	ل	ل	PROPN
alkej-138	158	3	ةي	ةي	NOUN
alkej-138	158	4	طریقھ	طریقھ	NOUN
alkej-138	158	5	شاملھ	شاملھ	NUM
alkej-138	158	6	)	)	PUNCT
alkej-138	158	7	أ	أ	PROPN
alkej-138	158	8	.	.	PUNCT
alkej-138	159	1	(	(	PUNCT
alkej-138	159	2	یوفر	یوفر	VERB
alkej-138	159	3	أربع	أربع	NOUN
alkej-138	159	4	سمات	سمات	VERB
alkej-138	159	5	ھامة	ھامة	PROPN
alkej-138	159	6	خالل	خالل	PROPN
alkej-138	159	7	من	من	PROPN
alkej-138	159	8	)	)	PUNCT
alkej-138	159	9	ث	ث	PROPN
alkej-138	159	10	(	(	PUNCT
alkej-138	159	11	اتالحسابب	اتالحسابب	PROPN
alkej-138	159	12	وسرعھمنخفضة	وسرعھمنخفضة	PROPN
alkej-138	159	13	التعقید	التعقید	PROPN
alkej-138	159	14	للغایة	للغایة	PROPN
alkej-138	159	15	)	)	PUNCT
alkej-138	160	1	ت(تردد	ت(تردد	NOUN
alkej-138	161	1	نایكویست	نایكویست	PROPN
alkej-138	161	2	أقل	أقل	PROPN
alkej-138	161	3	منخذ	منخذ	VERB
alkej-138	161	4	العینات	العینات	PROPN
alkej-138	161	5	والمستعمل	والمستعمل	PROPN
alkej-138	161	6	ألأقل	ألأقل	PROPN
alkej-138	161	7	بكثیر	بكثیر	NOUN
alkej-138	161	8	من	من	PRON
alkej-138	161	9	التردد	التردد	PROPN
alkej-138	161	10	ھو	ھو	ADP
alkej-138	161	11	األمثل	األمثل	NOUN
alkej-138	161	12	تقریبا	تقریبا	NOUN
alkej-138	161	13	و	و	PROPN
alkej-138	161	14	اء	اء	PROPN
alkej-138	161	15	البن	البن	PROPN
alkej-138	161	16	،	،	PROPN
alkej-138	161	17	ونوعیة	ونوعیة	PROPN
alkej-138	161	18	إعادة	إعادة	PROPN
alkej-138	161	19	ةالمطلوب	ةالمطلوب	PROPN
alkej-138	161	20	ذاكرةالمبادالت	ذاكرةالمبادالت	ADV
alkej-138	161	21	نسبھ	نسبھ	NOUN
alkej-138	161	22	الى	الى	VERB
alkej-138	161	23	الحجم	الحجم	NOUN
alkej-138	161	24	تدفق	تدفق	PROPN
alkej-138	161	25	قدرة	قدرة	PROPN
alkej-138	162	1	حساببین	حساببین	PROPN
alkej-138	162	2	ةمقارننحن	ةمقارننحن	PROPN
alkej-138	162	3	قادرون	قادرون	PROPN
alkej-138	162	4	على	على	PROPN
alkej-138	162	5	تحدید	تحدید	NOUN
alkej-138	162	6	ضعھا	ضعھا	NOUN
alkej-138	162	7	في	في	PRON
alkej-138	162	8	نموذج	نموذج	PROPN
alkej-138	162	9	ریاضي	ریاضي	PROPN
alkej-138	162	10	یمكن	یمكن	NOUN
alkej-138	162	11	اثباتھ	اثباتھ	NOUN
alkej-138	163	1	و	و	PRON
alkej-138	163	2	تقدیم	تقدیم	VERB
alkej-138	163	3	دراسة	دراسة	PROPN
alkej-138	163	4	في	في	X
alkej-138	163	5	ھذه	ھذه	NOUN
alkej-138	163	6	الورقة	الورقة	PROPN
alkej-138	163	7	تم	تم	PROPN
alkej-138	163	8	.	.	PUNCT
alkej-138	164	1	جانب	جانب	PROPN
alkej-138	164	2	االستشعارلعالمیتھ	االستشعارلعالمیتھ	PROPN
alkej-138	164	3	وعدم	وعدم	PROPN
alkej-138	164	4	وجود	وجود	PROPN
alkej-138	164	5	تعقید	تعقید	VERB
alkej-138	164	6	في	في	ADP
alkej-138	164	7	نظرًا	نظرًا	NUM
alkej-138	164	8	إسلوب	إسلوب	DET
alkej-138	164	9	ضغط	ضغط	NOUN
alkej-138	164	10	جذابھو	جذابھو	NOUN
alkej-138	164	11	csمضغوط	csمضغوط	NOUN
alkej-138	164	12	الاالستشعار	الاالستشعار	PROPN
alkej-138	164	13	.	.	PUNCT
alkej-138	165	1	شارات	شارات	PROPN
alkej-138	165	2	الصوتیةلإل	الصوتیةلإل	PROPN
alkej-138	165	3	ى	ى	PROPN
alkej-138	165	4	اشارات	اشارات	PROPN
alkej-138	165	5	ذات	ذات	NOUN
alkej-138	165	6	اسس	اسس	NOUN
alkej-138	165	7	بتطبیقھا	بتطبیقھا	NOUN
alkej-138	165	8	عل	عل	ADP
alkej-138	165	9	ةالطریقھ	ةالطریقھ	ADJ
alkej-138	165	10	وقدرتھا	وقدرتھا	NOUN
alkej-138	165	11	على	على	PROPN
alkej-138	165	12	اعادة	اعادة	PROPN
alkej-138	165	13	تشكیل	تشكیل	PROPN
alkej-138	165	14	االشار	االشار	PROPN
alkej-138	165	15	أداء	أداء	PROPN
alkej-138	165	16	تم	تم	PROPN
alkej-138	165	17	التحقیق	التحقیق	PROPN
alkej-138	165	18	من	من	PROPN
alkej-138	165	19	.	.	PUNCT
alkej-138	165	20	على	على	PROPN
alkej-138	165	21	اإلشارات	اإلشارات	PROPN
alkej-138	165	22	الصوتیة	الصوتیة	PROPN
alkej-138	165	23	المضغوط	المضغوط	NOUN
alkej-138	165	24	لتطبیق	لتطبیق	PROPN
alkej-138	165	25	االستشعار	االستشعار	PROPN
alkej-138	165	26	مضغوط	مضغوط	NOUN
alkej-138	165	27	الالنتائج	الالنتائج	PROPN
alkej-138	165	28	تظھر	تظھر	NOUN
alkej-138	165	29	أن	أن	ADP
alkej-138	165	30	االستشعار	االستشعار	NOUN
alkej-138	165	31	.	.	PUNCT
alkej-138	166	1	ةمتناثرالاإلشارات	ةمتناثرالاإلشارات	PROPN
alkej-138	166	2	الصوتیة	الصوتیة	PROPN
alkej-138	166	3	تشكیلنتائج	تشكیلنتائج	PROPN
alkej-138	166	4	المحاكاة	المحاكاة	PROPN
alkej-138	166	5	موجودة	موجودة	PROPN
alkej-138	166	6	إلظھار	إلظھار	PROPN
alkej-138	166	7	كفاءة	كفاءة	PROPN
alkej-138	166	8	إعادة	إعادة	PROPN
alkej-138	166	9	.	.	PUNCT
alkej-138	167	1	ھامختلفھ	ھامختلفھ	PROPN
alkej-138	167	2	،	،	PROPN
alkej-138	167	3	وكذلك	وكذلك	PROPN
alkej-138	167	4	استكشاف	استكشاف	PROPN
alkej-138	167	5	أداء	أداء	PROPN
alkej-138	167	6	الى	الى	VERB
alkej-138	167	7	ضوضاء	ضوضاء	NOUN
alkej-138	167	8	ةعلى	ةعلى	NOUN
alkej-138	167	9	نسبة	نسبة	NOUN
alkej-138	167	10	أعلى	أعلى	PROPN
alkej-138	167	11	اشار	اشار	VERB
alkej-138	167	12	ةمع	ةمع	PROPN
alkej-138	167	13	المحافظأقل	المحافظأقل	NOUN
alkej-138	167	14	من	من	PRON
alkej-138	167	15	معدل	معدل	ADV
alkej-138	167	16	نایكویست	نایكویست	PROPN
alkej-138	167	17	الصوتیة	الصوتیة	PROPN
alkej-138	167	18	ةالمطلوبھ	ةالمطلوبھ	PROPN
alkej-138	167	19	ألعادة	ألعادة	PROPN
alkej-138	167	20	تشكیل	تشكیل	PROPN
alkej-138	167	21	االشارحد	االشارحد	VERB
alkej-138	167	22	بشكل	بشكل	NOUN
alkej-138	167	23	كبیر	كبیر	ADV
alkej-138	168	1	من	من	PRON
alkej-138	168	2	عدد	عدد	PROPN
alkej-138	168	3	العینات	العینات	PROPN
alkej-138	168	4	یمكن	یمكن	PROPN
alkej-138	168	5	أن	أن	ADP
alkej-138	168	6	ی	ی	PROPN
alkej-138	168	7	psnr	psnr	PROPN
alkej-138	168	8	ةجید	ةجید	PROPN
alkej-138	168	9	.	.	PUNCT
alkej-138	169	1	mailto:dreng.ahmed@yahoo.com	mailto:dreng.ahmed@yahoo.com	X