id	sid	tid	token	lemma	pos
1j92g734706	1	1	this	this	DET
1j92g734706	1	2	thesis	thesis	NOUN
1j92g734706	1	3	studies	study	VERB
1j92g734706	1	4	linear	linear	PROPN
1j92g734706	1	5	control	control	NOUN
1j92g734706	1	6	systems	system	NOUN
1j92g734706	1	7	with	with	ADP
1j92g734706	1	8	limited	limited	ADJ
1j92g734706	1	9	feedback	feedback	NOUN
1j92g734706	1	10	information	information	NOUN
1j92g734706	1	11	.	.	PUNCT
1j92g734706	2	1	the	the	DET
1j92g734706	2	2	focus	focus	NOUN
1j92g734706	2	3	is	be	AUX
1j92g734706	2	4	on	on	ADP
1j92g734706	2	5	two	two	NUM
1j92g734706	2	6	types	type	NOUN
1j92g734706	2	7	of	of	ADP
1j92g734706	2	8	limitations	limitation	NOUN
1j92g734706	2	9	on	on	ADP
1j92g734706	2	10	the	the	DET
1j92g734706	2	11	feedback	feedback	NOUN
1j92g734706	2	12	information	information	NOUN
1j92g734706	2	13	,	,	PUNCT
1j92g734706	2	14	dropout	dropout	VERB
1j92g734706	2	15	and	and	CCONJ
1j92g734706	2	16	quantization	quantization	NOUN
1j92g734706	2	17	.	.	PUNCT
1j92g734706	3	1	by	by	ADP
1j92g734706	3	2	dropout	dropout	NOUN
1j92g734706	3	3	,	,	PUNCT
1j92g734706	3	4	we	we	PRON
1j92g734706	3	5	mean	mean	VERB
1j92g734706	3	6	that	that	SCONJ
1j92g734706	3	7	the	the	DET
1j92g734706	3	8	desired	desire	VERB
1j92g734706	3	9	feedback	feedback	NOUN
1j92g734706	3	10	measurement	measurement	NOUN
1j92g734706	3	11	is	be	AUX
1j92g734706	3	12	missed	miss	VERB
1j92g734706	3	13	.	.	PUNCT
1j92g734706	4	1	by	by	ADP
1j92g734706	4	2	quantization	quantization	NOUN
1j92g734706	4	3	,	,	PUNCT
1j92g734706	4	4	we	we	PRON
1j92g734706	4	5	mean	mean	VERB
1j92g734706	4	6	the	the	DET
1j92g734706	4	7	feedback	feedback	NOUN
1j92g734706	4	8	measurement	measurement	NOUN
1j92g734706	4	9	is	be	AUX
1j92g734706	4	10	described	describe	VERB
1j92g734706	4	11	by	by	ADP
1j92g734706	4	12	a	a	DET
1j92g734706	4	13	finite	finite	ADJ
1j92g734706	4	14	number	number	NOUN
1j92g734706	4	15	of	of	ADP
1j92g734706	4	16	bits	bit	NOUN
1j92g734706	4	17	,	,	PUNCT
1j92g734706	4	18	which	which	PRON
1j92g734706	4	19	introduces	introduce	VERB
1j92g734706	4	20	`	`	PUNCT
1j92g734706	4	21	`	`	PUNCT
1j92g734706	4	22	measurement	measurement	NOUN
1j92g734706	4	23	error	error	NOUN
1j92g734706	4	24	'	'	PUNCT
1j92g734706	4	25	.	.	PUNCT
1j92g734706	5	1	this	this	DET
1j92g734706	5	2	thesis	thesis	NOUN
1j92g734706	5	3	analyzes	analyze	VERB
1j92g734706	5	4	the	the	DET
1j92g734706	5	5	effect	effect	NOUN
1j92g734706	5	6	of	of	ADP
1j92g734706	5	7	dropout	dropout	NOUN
1j92g734706	5	8	and	and	CCONJ
1j92g734706	5	9	quantization	quantization	NOUN
1j92g734706	5	10	on	on	ADP
1j92g734706	5	11	stability	stability	NOUN
1j92g734706	5	12	and	and	CCONJ
1j92g734706	5	13	performance	performance	NOUN
1j92g734706	5	14	of	of	ADP
1j92g734706	5	15	control	control	NOUN
1j92g734706	5	16	systems	system	NOUN
1j92g734706	5	17	and	and	CCONJ
1j92g734706	5	18	develops	develop	VERB
1j92g734706	5	19	synthesis	synthesis	NOUN
1j92g734706	5	20	methods	method	NOUN
1j92g734706	5	21	that	that	PRON
1j92g734706	5	22	improve	improve	VERB
1j92g734706	5	23	system	system	NOUN
1j92g734706	5	24	performance	performance	NOUN
1j92g734706	5	25	in	in	ADP
1j92g734706	5	26	the	the	DET
1j92g734706	5	27	face	face	NOUN
1j92g734706	5	28	of	of	ADP
1j92g734706	5	29	such	such	ADJ
1j92g734706	5	30	limited	limited	ADJ
1j92g734706	5	31	information	information	NOUN
1j92g734706	5	32	.	.	PUNCT
1j92g734706	6	1	we	we	PRON
1j92g734706	6	2	consider	consider	VERB
1j92g734706	6	3	two	two	NUM
1j92g734706	6	4	dropout	dropout	NOUN
1j92g734706	6	5	models	model	NOUN
1j92g734706	6	6	,	,	PUNCT
1j92g734706	6	7	independent	independent	ADJ
1j92g734706	6	8	and	and	CCONJ
1j92g734706	6	9	identically	identically	ADV
1j92g734706	6	10	distributed	distribute	VERB
1j92g734706	6	11	(	(	PUNCT
1j92g734706	6	12	i.i.d	i.i.d	PROPN
1j92g734706	6	13	.	.	PUNCT
1j92g734706	6	14	)	)	PUNCT
1j92g734706	6	15	processes	process	NOUN
1j92g734706	6	16	and	and	CCONJ
1j92g734706	6	17	markov	markov	NOUN
1j92g734706	6	18	chains	chain	NOUN
1j92g734706	6	19	.	.	PUNCT
1j92g734706	7	1	for	for	ADP
1j92g734706	7	2	a	a	DET
1j92g734706	7	3	control	control	NOUN
1j92g734706	7	4	system	system	NOUN
1j92g734706	7	5	with	with	ADP
1j92g734706	7	6	i.i.d	i.i.d	PROPN
1j92g734706	7	7	.	.	PUNCT
1j92g734706	8	1	dropouts	dropout	NOUN
1j92g734706	8	2	,	,	PUNCT
1j92g734706	8	3	we	we	PRON
1j92g734706	8	4	provide	provide	VERB
1j92g734706	8	5	a	a	DET
1j92g734706	8	6	necessary	necessary	ADJ
1j92g734706	8	7	and	and	CCONJ
1j92g734706	8	8	sufficient	sufficient	ADJ
1j92g734706	8	9	stability	stability	NOUN
1j92g734706	8	10	condition	condition	NOUN
1j92g734706	8	11	and	and	CCONJ
1j92g734706	8	12	a	a	DET
1j92g734706	8	13	closed	closed	ADJ
1j92g734706	8	14	-	-	PUNCT
1j92g734706	8	15	form	form	NOUN
1j92g734706	8	16	expression	expression	NOUN
1j92g734706	8	17	for	for	ADP
1j92g734706	8	18	the	the	DET
1j92g734706	8	19	output	output	NOUN
1j92g734706	8	20	's	's	PART
1j92g734706	8	21	power	power	NOUN
1j92g734706	8	22	spectral	spectral	ADJ
1j92g734706	8	23	density	density	NOUN
1j92g734706	8	24	(	(	PUNCT
1j92g734706	8	25	psd	psd	NOUN
1j92g734706	8	26	)	)	PUNCT
1j92g734706	8	27	.	.	PUNCT
1j92g734706	9	1	based	base	VERB
1j92g734706	9	2	on	on	ADP
1j92g734706	9	3	this	this	DET
1j92g734706	9	4	psd	psd	ADJ
1j92g734706	9	5	result	result	NOUN
1j92g734706	9	6	,	,	PUNCT
1j92g734706	9	7	we	we	PRON
1j92g734706	9	8	identify	identify	VERB
1j92g734706	9	9	an	an	DET
1j92g734706	9	10	equivalent	equivalent	ADJ
1j92g734706	9	11	linear	linear	ADJ
1j92g734706	9	12	time	time	NOUN
1j92g734706	9	13	-	-	PUNCT
1j92g734706	9	14	invariant	invariant	ADJ
1j92g734706	9	15	(	(	PUNCT
1j92g734706	9	16	lti	lti	PROPN
1j92g734706	9	17	)	)	PUNCT
1j92g734706	9	18	system	system	NOUN
1j92g734706	9	19	which	which	PRON
1j92g734706	9	20	can	can	AUX
1j92g734706	9	21	be	be	AUX
1j92g734706	9	22	used	use	VERB
1j92g734706	9	23	to	to	PART
1j92g734706	9	24	do	do	VERB
1j92g734706	9	25	synthesis	synthesis	NOUN
1j92g734706	9	26	.	.	PUNCT
1j92g734706	10	1	as	as	ADP
1j92g734706	10	2	an	an	DET
1j92g734706	10	3	example	example	NOUN
1j92g734706	10	4	,	,	PUNCT
1j92g734706	10	5	we	we	PRON
1j92g734706	10	6	design	design	VERB
1j92g734706	10	7	the	the	DET
1j92g734706	10	8	optimal	optimal	ADJ
1j92g734706	10	9	dropout	dropout	NOUN
1j92g734706	10	10	compensator	compensator	NOUN
1j92g734706	10	11	.	.	PUNCT
1j92g734706	11	1	for	for	ADP
1j92g734706	11	2	a	a	DET
1j92g734706	11	3	control	control	NOUN
1j92g734706	11	4	system	system	NOUN
1j92g734706	11	5	with	with	ADP
1j92g734706	11	6	dropouts	dropout	NOUN
1j92g734706	11	7	governed	govern	VERB
1j92g734706	11	8	by	by	ADP
1j92g734706	11	9	a	a	DET
1j92g734706	11	10	markov	markov	NOUN
1j92g734706	11	11	chain	chain	NOUN
1j92g734706	11	12	,	,	PUNCT
1j92g734706	11	13	we	we	PRON
1j92g734706	11	14	provide	provide	VERB
1j92g734706	11	15	a	a	DET
1j92g734706	11	16	necessary	necessary	ADJ
1j92g734706	11	17	and	and	CCONJ
1j92g734706	11	18	sufficient	sufficient	ADJ
1j92g734706	11	19	stability	stability	NOUN
1j92g734706	11	20	condition	condition	NOUN
1j92g734706	11	21	and	and	CCONJ
1j92g734706	11	22	a	a	DET
1j92g734706	11	23	method	method	NOUN
1j92g734706	11	24	to	to	PART
1j92g734706	11	25	compute	compute	VERB
1j92g734706	11	26	performance	performance	NOUN
1j92g734706	11	27	measured	measure	VERB
1j92g734706	11	28	by	by	ADP
1j92g734706	11	29	the	the	DET
1j92g734706	11	30	output	output	NOUN
1j92g734706	11	31	's	's	PART
1j92g734706	11	32	power	power	NOUN
1j92g734706	11	33	.	.	PUNCT
1j92g734706	12	1	based	base	VERB
1j92g734706	12	2	on	on	ADP
1j92g734706	12	3	the	the	DET
1j92g734706	12	4	performance	performance	NOUN
1j92g734706	12	5	result	result	NOUN
1j92g734706	12	6	,	,	PUNCT
1j92g734706	12	7	we	we	PRON
1j92g734706	12	8	propose	propose	VERB
1j92g734706	12	9	a	a	DET
1j92g734706	12	10	method	method	NOUN
1j92g734706	12	11	to	to	PART
1j92g734706	12	12	design	design	VERB
1j92g734706	12	13	the	the	DET
1j92g734706	12	14	optimal	optimal	ADJ
1j92g734706	12	15	dropout	dropout	NOUN
1j92g734706	12	16	policy	policy	NOUN
1j92g734706	12	17	which	which	PRON
1j92g734706	12	18	minimizes	minimize	VERB
1j92g734706	12	19	the	the	DET
1j92g734706	12	20	degradation	degradation	NOUN
1j92g734706	12	21	of	of	ADP
1j92g734706	12	22	system	system	NOUN
1j92g734706	12	23	performance	performance	NOUN
1j92g734706	12	24	under	under	ADP
1j92g734706	12	25	the	the	DET
1j92g734706	12	26	given	give	VERB
1j92g734706	12	27	dropout	dropout	NOUN
1j92g734706	12	28	rate	rate	NOUN
1j92g734706	12	29	constraint	constraint	NOUN
1j92g734706	12	30	.	.	PUNCT
1j92g734706	13	1	we	we	PRON
1j92g734706	13	2	extend	extend	VERB
1j92g734706	13	3	the	the	DET
1j92g734706	13	4	performance	performance	NOUN
1j92g734706	13	5	results	result	NOUN
1j92g734706	13	6	on	on	ADP
1j92g734706	13	7	markovian	markovian	ADJ
1j92g734706	13	8	dropouts	dropout	NOUN
1j92g734706	13	9	to	to	ADP
1j92g734706	13	10	distributed	distribute	VERB
1j92g734706	13	11	control	control	NOUN
1j92g734706	13	12	systems	system	NOUN
1j92g734706	13	13	.	.	PUNCT
1j92g734706	14	1	for	for	ADP
1j92g734706	14	2	a	a	DET
1j92g734706	14	3	quantized	quantize	VERB
1j92g734706	14	4	control	control	NOUN
1j92g734706	14	5	system	system	NOUN
1j92g734706	14	6	,	,	PUNCT
1j92g734706	14	7	we	we	PRON
1j92g734706	14	8	derive	derive	VERB
1j92g734706	14	9	the	the	DET
1j92g734706	14	10	minimum	minimum	ADJ
1j92g734706	14	11	constant	constant	ADJ
1j92g734706	14	12	bit	bit	NOUN
1j92g734706	14	13	rate	rate	NOUN
1j92g734706	14	14	to	to	PART
1j92g734706	14	15	guarantee	guarantee	VERB
1j92g734706	14	16	stability	stability	NOUN
1j92g734706	14	17	.	.	PUNCT
1j92g734706	15	1	a	a	DET
1j92g734706	15	2	dynamic	dynamic	ADJ
1j92g734706	15	3	bit	bit	NOUN
1j92g734706	15	4	assignment	assignment	NOUN
1j92g734706	15	5	policy	policy	NOUN
1j92g734706	15	6	(	(	PUNCT
1j92g734706	15	7	dbap	dbap	PROPN
1j92g734706	15	8	)	)	PUNCT
1j92g734706	15	9	is	be	AUX
1j92g734706	15	10	proposed	propose	VERB
1j92g734706	15	11	to	to	PART
1j92g734706	15	12	achieve	achieve	VERB
1j92g734706	15	13	such	such	ADJ
1j92g734706	15	14	minimum	minimum	ADJ
1j92g734706	15	15	bit	bit	NOUN
1j92g734706	15	16	rate	rate	NOUN
1j92g734706	15	17	.	.	PUNCT
1j92g734706	16	1	we	we	PRON
1j92g734706	16	2	also	also	ADV
1j92g734706	16	3	study	study	VERB
1j92g734706	16	4	the	the	DET
1j92g734706	16	5	performance	performance	NOUN
1j92g734706	16	6	of	of	ADP
1j92g734706	16	7	quantized	quantize	VERB
1j92g734706	16	8	systems	system	NOUN
1j92g734706	16	9	.	.	PUNCT
1j92g734706	17	1	for	for	ADP
1j92g734706	17	2	a	a	DET
1j92g734706	17	3	noise	noise	NOUN
1j92g734706	17	4	-	-	PUNCT
1j92g734706	17	5	free	free	ADJ
1j92g734706	17	6	quantized	quantize	VERB
1j92g734706	17	7	system	system	NOUN
1j92g734706	17	8	,	,	PUNCT
1j92g734706	17	9	we	we	PRON
1j92g734706	17	10	prove	prove	VERB
1j92g734706	17	11	that	that	SCONJ
1j92g734706	17	12	dbap	dbap	NOUN
1j92g734706	17	13	is	be	AUX
1j92g734706	17	14	the	the	DET
1j92g734706	17	15	optimal	optimal	ADJ
1j92g734706	17	16	quantization	quantization	NOUN
1j92g734706	17	17	policy	policy	NOUN
1j92g734706	17	18	with	with	ADP
1j92g734706	17	19	performance	performance	NOUN
1j92g734706	17	20	measured	measure	VERB
1j92g734706	17	21	by	by	ADP
1j92g734706	17	22	the	the	DET
1j92g734706	17	23	l-2	l-2	ADJ
1j92g734706	17	24	norm	norm	NOUN
1j92g734706	17	25	of	of	ADP
1j92g734706	17	26	the	the	DET
1j92g734706	17	27	quantization	quantization	NOUN
1j92g734706	17	28	error	error	NOUN
1j92g734706	17	29	.	.	PUNCT
1j92g734706	18	1	for	for	ADP
1j92g734706	18	2	a	a	DET
1j92g734706	18	3	quantized	quantize	VERB
1j92g734706	18	4	system	system	NOUN
1j92g734706	18	5	with	with	ADP
1j92g734706	18	6	bounded	bound	VERB
1j92g734706	18	7	noise	noise	NOUN
1j92g734706	18	8	,	,	PUNCT
1j92g734706	18	9	performance	performance	NOUN
1j92g734706	18	10	is	be	AUX
1j92g734706	18	11	measured	measure	VERB
1j92g734706	18	12	by	by	ADP
1j92g734706	18	13	the	the	DET
1j92g734706	18	14	ultimate	ultimate	ADJ
1j92g734706	18	15	upper	upper	ADJ
1j92g734706	18	16	bound	bound	NOUN
1j92g734706	18	17	of	of	ADP
1j92g734706	18	18	quantization	quantization	NOUN
1j92g734706	18	19	error	error	NOUN
1j92g734706	18	20	.	.	PUNCT
1j92g734706	19	1	we	we	PRON
1j92g734706	19	2	present	present	VERB
1j92g734706	19	3	both	both	CCONJ
1j92g734706	19	4	a	a	DET
1j92g734706	19	5	lower	lower	ADV
1j92g734706	19	6	bound	bound	ADJ
1j92g734706	19	7	and	and	CCONJ
1j92g734706	19	8	an	an	DET
1j92g734706	19	9	upper	upper	ADJ
1j92g734706	19	10	bound	bind	VERB
1j92g734706	19	11	on	on	ADP
1j92g734706	19	12	the	the	DET
1j92g734706	19	13	optimal	optimal	ADJ
1j92g734706	19	14	performance	performance	NOUN
1j92g734706	19	15	for	for	ADP
1j92g734706	19	16	quantized	quantize	VERB
1j92g734706	19	17	systems	system	NOUN
1j92g734706	19	18	with	with	ADP
1j92g734706	19	19	bounded	bound	VERB
1j92g734706	19	20	noise	noise	NOUN
1j92g734706	19	21	.	.	PUNCT
1j92g734706	20	1	the	the	DET
1j92g734706	20	2	upper	upper	ADJ
1j92g734706	20	3	bound	bind	VERB
1j92g734706	20	4	can	can	AUX
1j92g734706	20	5	always	always	ADV
1j92g734706	20	6	be	be	AUX
1j92g734706	20	7	achieved	achieve	VERB
1j92g734706	20	8	by	by	ADP
1j92g734706	20	9	the	the	DET
1j92g734706	20	10	proposed	propose	VERB
1j92g734706	20	11	dbap	dbap	NOUN
1j92g734706	20	12	.	.	PUNCT
1j92g734706	21	1	so	so	ADV
1j92g734706	21	2	dbap	dbap	NOUN
1j92g734706	21	3	is	be	AUX
1j92g734706	21	4	at	at	ADP
1j92g734706	21	5	least	least	ADJ
1j92g734706	21	6	a	a	DET
1j92g734706	21	7	sub	sub	ADJ
1j92g734706	21	8	-	-	ADJ
1j92g734706	21	9	optimal	optimal	ADJ
1j92g734706	21	10	quantization	quantization	NOUN
1j92g734706	21	11	policy	policy	NOUN
1j92g734706	21	12	with	with	ADP
1j92g734706	21	13	the	the	DET
1j92g734706	21	14	known	know	VERB
1j92g734706	21	15	performance	performance	NOUN
1j92g734706	21	16	gap	gap	NOUN
1j92g734706	21	17	.	.	PUNCT