id	sid	tid	token	lemma	pos
fuelectenerg-13520	1	1	fuee20260103r	fuee20260103r	ADJ
fuelectenerg-13520	1	2	13520	13520	NUM
fuelectenerg-13520	1	3	-	-	SYM
fuelectenerg-13520	1	4	69195	69195	NUM
fuelectenerg-13520	1	5	-	-	PUNCT
fuelectenerg-13520	1	6	1	1	NUM
fuelectenerg-13520	1	7	-	-	PUNCT
fuelectenerg-13520	1	8	le	le	X
fuelectenerg-13520	1	9	041_053.indd	041_053.indd	PROPN
fuelectenerg-13520	1	10	facta	facta	PROPN
fuelectenerg-13520	1	11	universitatis	universitatis	PROPN
fuelectenerg-13520	1	12	ser	ser	PROPN
fuelectenerg-13520	1	13	.	.	PUNCT
fuelectenerg-13520	1	14	:	:	PUNCT
fuelectenerg-13520	2	1	elec	elec	PROPN
fuelectenerg-13520	2	2	.	.	PUNCT
fuelectenerg-13520	2	3	energ	energ	PROPN
fuelectenerg-13520	2	4	.	.	PUNCT
fuelectenerg-13520	3	1	vol	vol	NOUN
fuelectenerg-13520	3	2	.	.	PROPN
fuelectenerg-13520	4	1	27	27	NUM
fuelectenerg-13520	4	2	,	,	PUNCT
fuelectenerg-13520	4	3	no	no	INTJ
fuelectenerg-13520	4	4	.	.	NOUN
fuelectenerg-13520	4	5	4	4	NUM
fuelectenerg-13520	4	6	,	,	PUNCT
fuelectenerg-13520	5	1	may	may	AUX
fuelectenerg-13520	5	2	2025	2025	NUM
fuelectenerg-13520	5	3	,	,	PUNCT
fuelectenerg-13520	5	4	pp	pp	ADV
fuelectenerg-13520	5	5	.	.	PUNCT
fuelectenerg-13520	6	1	99	99	NUM
fuelectenerg-13520	6	2	-	-	SYM
fuelectenerg-13520	6	3	111	111	NUM
fuelectenerg-13520	6	4	https://doi.org/	https://doi.org/	NOUN
fuelectenerg-13520	6	5	original	original	ADJ
fuelectenerg-13520	6	6	scientific	scientific	ADJ
fuelectenerg-13520	6	7	paper	paper	NOUN
fuelectenerg-13520	6	8	optimum	optimum	ADJ
fuelectenerg-13520	6	9	chebyshev	chebyshev	NOUN
fuelectenerg-13520	6	10	lowpass	lowpass	NOUN
fuelectenerg-13520	6	11	filter	filter	NOUN
fuelectenerg-13520	6	12	with	with	ADP
fuelectenerg-13520	6	13	a	a	DET
fuelectenerg-13520	6	14	pair	pair	NOUN
fuelectenerg-13520	6	15	of	of	ADP
fuelectenerg-13520	6	16	imaginary	imaginary	ADJ
fuelectenerg-13520	6	17	axis	axis	NOUN
fuelectenerg-13520	6	18	zeros	zero	NOUN
fuelectenerg-13520	6	19	nikola	nikola	PROPN
fuelectenerg-13520	6	20	stojanović1	stojanović1	PROPN
fuelectenerg-13520	6	21	,	,	PUNCT
fuelectenerg-13520	6	22	ivan	ivan	PROPN
fuelectenerg-13520	6	23	krstić2	krstić2	PROPN
fuelectenerg-13520	6	24	,	,	PUNCT
fuelectenerg-13520	6	25	negovan	negovan	NOUN
fuelectenerg-13520	6	26	stamenković3	stamenković3	NOUN
fuelectenerg-13520	6	27	1university	1university	NUM
fuelectenerg-13520	6	28	of	of	ADP
fuelectenerg-13520	6	29	nǐs	nǐs	NOUN
fuelectenerg-13520	6	30	,	,	PUNCT
fuelectenerg-13520	6	31	faculty	faculty	NOUN
fuelectenerg-13520	6	32	of	of	ADP
fuelectenerg-13520	6	33	electronic	electronic	ADJ
fuelectenerg-13520	6	34	engineering	engineering	NOUN
fuelectenerg-13520	6	35	2university	2university	PROPN
fuelectenerg-13520	6	36	of	of	ADP
fuelectenerg-13520	6	37	kragujevac	kragujevac	PROPN
fuelectenerg-13520	6	38	,	,	PUNCT
fuelectenerg-13520	6	39	faculty	faculty	NOUN
fuelectenerg-13520	6	40	of	of	ADP
fuelectenerg-13520	6	41	engineering	engineer	VERB
fuelectenerg-13520	6	42	3university	3university	NUM
fuelectenerg-13520	6	43	of	of	ADP
fuelectenerg-13520	6	44	prǐstina	prǐstina	PROPN
fuelectenerg-13520	6	45	,	,	PUNCT
fuelectenerg-13520	6	46	faculty	faculty	NOUN
fuelectenerg-13520	6	47	of	of	ADP
fuelectenerg-13520	6	48	natural	natural	ADJ
fuelectenerg-13520	6	49	science	science	NOUN
fuelectenerg-13520	6	50	and	and	CCONJ
fuelectenerg-13520	6	51	mathematics	mathematics	PROPN
fuelectenerg-13520	6	52	orcid	orcid	NOUN
fuelectenerg-13520	6	53	ids	id	NOUN
fuelectenerg-13520	6	54	:	:	PUNCT
fuelectenerg-13520	7	1	nikola	nikola	PROPN
fuelectenerg-13520	7	2	stojanović	stojanović	ADJ
fuelectenerg-13520	7	3	https://orcid	https://orcid	PROPN
fuelectenerg-13520	7	4	org/0000	org/0000	NOUN
fuelectenerg-13520	7	5	-	-	PUNCT
fuelectenerg-13520	7	6	0003	0003	NUM
fuelectenerg-13520	7	7	-	-	PUNCT
fuelectenerg-13520	7	8	3723	3723	NUM
fuelectenerg-13520	7	9	-	-	PUNCT
fuelectenerg-13520	7	10	8840	8840	NUM
fuelectenerg-13520	7	11	ivan	ivan	PROPN
fuelectenerg-13520	7	12	krstić	krstić	PROPN
fuelectenerg-13520	7	13	https://orcid	https://orcid	PROPN
fuelectenerg-13520	7	14	org/0000	org/0000	NOUN
fuelectenerg-13520	7	15	-	-	PUNCT
fuelectenerg-13520	7	16	0001	0001	NUM
fuelectenerg-13520	7	17	-	-	PUNCT
fuelectenerg-13520	7	18	7583	7583	NUM
fuelectenerg-13520	7	19	-	-	PUNCT
fuelectenerg-13520	7	20	3152	3152	NUM
fuelectenerg-13520	7	21	negovan	negovan	NOUN
fuelectenerg-13520	7	22	stamenković	stamenković	NOUN
fuelectenerg-13520	7	23	https://orcid	https://orcid	PROPN
fuelectenerg-13520	7	24	org/0000	org/0000	NOUN
fuelectenerg-13520	7	25	-	-	PUNCT
fuelectenerg-13520	7	26	0003	0003	NUM
fuelectenerg-13520	7	27	-	-	PUNCT
fuelectenerg-13520	7	28	4025	4025	NUM
fuelectenerg-13520	7	29	-	-	SYM
fuelectenerg-13520	7	30	5342	5342	NUM
fuelectenerg-13520	7	31	abstract	abstract	NOUN
fuelectenerg-13520	7	32	:	:	PUNCT
fuelectenerg-13520	7	33	the	the	DET
fuelectenerg-13520	7	34	paper	paper	NOUN
fuelectenerg-13520	7	35	compares	compare	VERB
fuelectenerg-13520	7	36	the	the	DET
fuelectenerg-13520	7	37	characteristics	characteristic	NOUN
fuelectenerg-13520	7	38	of	of	ADP
fuelectenerg-13520	7	39	optimum	optimum	ADJ
fuelectenerg-13520	7	40	chebyshev	chebyshev	NOUN
fuelectenerg-13520	7	41	filters	filter	NOUN
fuelectenerg-13520	7	42	with	with	ADP
fuelectenerg-13520	7	43	a	a	DET
fuelectenerg-13520	7	44	finite	finite	ADJ
fuelectenerg-13520	7	45	transmission	transmission	NOUN
fuelectenerg-13520	7	46	zero	zero	NUM
fuelectenerg-13520	7	47	pair	pair	NOUN
fuelectenerg-13520	7	48	of	of	ADP
fuelectenerg-13520	7	49	arbitrary	arbitrary	ADJ
fuelectenerg-13520	7	50	multiplicity	multiplicity	NOUN
fuelectenerg-13520	7	51	to	to	ADP
fuelectenerg-13520	7	52	those	those	PRON
fuelectenerg-13520	7	53	of	of	ADP
fuelectenerg-13520	7	54	optimum	optimum	ADJ
fuelectenerg-13520	7	55	chebyshev	chebyshev	NOUN
fuelectenerg-13520	7	56	allpole	allpole	NOUN
fuelectenerg-13520	7	57	filters	filter	NOUN
fuelectenerg-13520	7	58	.	.	PUNCT
fuelectenerg-13520	8	1	by	by	ADP
fuelectenerg-13520	8	2	introducing	introduce	VERB
fuelectenerg-13520	8	3	a	a	DET
fuelectenerg-13520	8	4	transmission	transmission	NOUN
fuelectenerg-13520	8	5	zero	zero	NUM
fuelectenerg-13520	8	6	pair	pair	NOUN
fuelectenerg-13520	8	7	(	(	PUNCT
fuelectenerg-13520	8	8	single	single	ADJ
fuelectenerg-13520	8	9	or	or	CCONJ
fuelectenerg-13520	8	10	multiple	multiple	ADJ
fuelectenerg-13520	8	11	)	)	PUNCT
fuelectenerg-13520	8	12	at	at	ADP
fuelectenerg-13520	8	13	a	a	DET
fuelectenerg-13520	8	14	real	real	ADJ
fuelectenerg-13520	8	15	frequency	frequency	NOUN
fuelectenerg-13520	8	16	into	into	ADP
fuelectenerg-13520	8	17	the	the	DET
fuelectenerg-13520	8	18	transcendental	transcendental	ADJ
fuelectenerg-13520	8	19	form	form	NOUN
fuelectenerg-13520	8	20	of	of	ADP
fuelectenerg-13520	8	21	the	the	DET
fuelectenerg-13520	8	22	chebyshev	chebyshev	NOUN
fuelectenerg-13520	8	23	polynomial	polynomial	NOUN
fuelectenerg-13520	8	24	,	,	PUNCT
fuelectenerg-13520	8	25	the	the	DET
fuelectenerg-13520	8	26	filter	filter	NOUN
fuelectenerg-13520	8	27	achieves	achieve	VERB
fuelectenerg-13520	8	28	a	a	DET
fuelectenerg-13520	8	29	specified	specified	ADJ
fuelectenerg-13520	8	30	minimum	minimum	ADJ
fuelectenerg-13520	8	31	attenuation	attenuation	NOUN
fuelectenerg-13520	8	32	extreme	extreme	ADJ
fuelectenerg-13520	8	33	value	value	NOUN
fuelectenerg-13520	8	34	in	in	ADP
fuelectenerg-13520	8	35	the	the	DET
fuelectenerg-13520	8	36	stopband	stopband	NOUN
fuelectenerg-13520	8	37	,	,	PUNCT
fuelectenerg-13520	8	38	thereby	thereby	ADV
fuelectenerg-13520	8	39	improving	improve	VERB
fuelectenerg-13520	8	40	the	the	DET
fuelectenerg-13520	8	41	cutoff	cutoff	NOUN
fuelectenerg-13520	8	42	slope	slope	NOUN
fuelectenerg-13520	8	43	.	.	PUNCT
fuelectenerg-13520	9	1	additionally	additionally	ADV
fuelectenerg-13520	9	2	,	,	PUNCT
fuelectenerg-13520	9	3	the	the	DET
fuelectenerg-13520	9	4	paper	paper	NOUN
fuelectenerg-13520	9	5	presents	present	VERB
fuelectenerg-13520	9	6	a	a	DET
fuelectenerg-13520	9	7	new	new	ADJ
fuelectenerg-13520	9	8	method	method	NOUN
fuelectenerg-13520	9	9	for	for	ADP
fuelectenerg-13520	9	10	deriving	derive	VERB
fuelectenerg-13520	9	11	a	a	DET
fuelectenerg-13520	9	12	rational	rational	ADJ
fuelectenerg-13520	9	13	polynomial	polynomial	ADJ
fuelectenerg-13520	9	14	form	form	NOUN
fuelectenerg-13520	9	15	of	of	ADP
fuelectenerg-13520	9	16	the	the	DET
fuelectenerg-13520	9	17	optimum	optimum	ADJ
fuelectenerg-13520	9	18	chebyshev	chebyshev	NOUN
fuelectenerg-13520	9	19	filtering	filtering	NOUN
fuelectenerg-13520	9	20	function	function	NOUN
fuelectenerg-13520	9	21	from	from	ADP
fuelectenerg-13520	9	22	its	its	PRON
fuelectenerg-13520	9	23	transcendental	transcendental	ADJ
fuelectenerg-13520	9	24	form	form	NOUN
fuelectenerg-13520	9	25	,	,	PUNCT
fuelectenerg-13520	9	26	which	which	PRON
fuelectenerg-13520	9	27	is	be	AUX
fuelectenerg-13520	9	28	essential	essential	ADJ
fuelectenerg-13520	9	29	for	for	ADP
fuelectenerg-13520	9	30	determining	determine	VERB
fuelectenerg-13520	9	31	the	the	DET
fuelectenerg-13520	9	32	poles	pole	NOUN
fuelectenerg-13520	9	33	of	of	ADP
fuelectenerg-13520	9	34	the	the	DET
fuelectenerg-13520	9	35	filter	filter	NOUN
fuelectenerg-13520	9	36	’s	’s	PART
fuelectenerg-13520	9	37	transfer	transfer	NOUN
fuelectenerg-13520	9	38	function	function	NOUN
fuelectenerg-13520	9	39	.	.	PUNCT
fuelectenerg-13520	10	1	the	the	DET
fuelectenerg-13520	10	2	method	method	NOUN
fuelectenerg-13520	10	3	is	be	AUX
fuelectenerg-13520	10	4	straightforward	straightforward	ADJ
fuelectenerg-13520	10	5	and	and	CCONJ
fuelectenerg-13520	10	6	does	do	AUX
fuelectenerg-13520	10	7	not	not	PART
fuelectenerg-13520	10	8	rely	rely	VERB
fuelectenerg-13520	10	9	on	on	ADP
fuelectenerg-13520	10	10	optimization	optimization	NOUN
fuelectenerg-13520	10	11	or	or	CCONJ
fuelectenerg-13520	10	12	recursive	recursive	ADJ
fuelectenerg-13520	10	13	formulas	formula	NOUN
fuelectenerg-13520	10	14	.	.	PUNCT
fuelectenerg-13520	11	1	the	the	DET
fuelectenerg-13520	11	2	proposed	propose	VERB
fuelectenerg-13520	11	3	approach	approach	NOUN
fuelectenerg-13520	11	4	is	be	AUX
fuelectenerg-13520	11	5	validated	validate	VERB
fuelectenerg-13520	11	6	and	and	CCONJ
fuelectenerg-13520	11	7	illustrated	illustrate	VERB
fuelectenerg-13520	11	8	using	use	VERB
fuelectenerg-13520	11	9	an	an	DET
fuelectenerg-13520	11	10	example	example	NOUN
fuelectenerg-13520	11	11	.	.	PUNCT
fuelectenerg-13520	12	1	although	although	SCONJ
fuelectenerg-13520	12	2	this	this	DET
fuelectenerg-13520	12	3	approximation	approximation	NOUN
fuelectenerg-13520	12	4	is	be	AUX
fuelectenerg-13520	12	5	primarily	primarily	ADV
fuelectenerg-13520	12	6	intended	intend	VERB
fuelectenerg-13520	12	7	for	for	ADP
fuelectenerg-13520	12	8	microwave	microwave	NOUN
fuelectenerg-13520	12	9	filter	filter	NOUN
fuelectenerg-13520	12	10	applications	application	NOUN
fuelectenerg-13520	12	11	,	,	PUNCT
fuelectenerg-13520	12	12	it	it	PRON
fuelectenerg-13520	12	13	can	can	AUX
fuelectenerg-13520	12	14	also	also	ADV
fuelectenerg-13520	12	15	be	be	AUX
fuelectenerg-13520	12	16	applied	apply	VERB
fuelectenerg-13520	12	17	to	to	ADP
fuelectenerg-13520	12	18	both	both	CCONJ
fuelectenerg-13520	12	19	analog	analog	NOUN
fuelectenerg-13520	12	20	and	and	CCONJ
fuelectenerg-13520	12	21	digital	digital	ADJ
fuelectenerg-13520	12	22	signal	signal	NOUN
fuelectenerg-13520	12	23	processing	processing	NOUN
fuelectenerg-13520	12	24	.	.	PUNCT
fuelectenerg-13520	13	1	key	key	ADJ
fuelectenerg-13520	13	2	words	word	NOUN
fuelectenerg-13520	13	3	:	:	PUNCT
fuelectenerg-13520	13	4	optimum	optimum	ADJ
fuelectenerg-13520	13	5	chebyshev	chebyshev	NOUN
fuelectenerg-13520	13	6	filters	filter	NOUN
fuelectenerg-13520	13	7	,	,	PUNCT
fuelectenerg-13520	13	8	finite	finite	VERB
fuelectenerg-13520	13	9	transmission	transmission	NOUN
fuelectenerg-13520	13	10	zeros	zero	NOUN
fuelectenerg-13520	13	11	,	,	PUNCT
fuelectenerg-13520	13	12	multiple	multiple	ADJ
fuelectenerg-13520	13	13	zeros	zero	NOUN
fuelectenerg-13520	13	14	,	,	PUNCT
fuelectenerg-13520	13	15	halfpower	halfpower	NOUN
fuelectenerg-13520	13	16	bandwidth	bandwidth	NOUN
fuelectenerg-13520	13	17	.	.	PUNCT
fuelectenerg-13520	14	1	1	1	X
fuelectenerg-13520	14	2	.	.	X
fuelectenerg-13520	14	3	introduction	introduction	NOUN
fuelectenerg-13520	14	4	in	in	ADP
fuelectenerg-13520	14	5	recent	recent	ADJ
fuelectenerg-13520	14	6	publications	publication	NOUN
fuelectenerg-13520	15	1	[	[	X
fuelectenerg-13520	15	2	1–4	1–4	NOUN
fuelectenerg-13520	15	3	]	]	X
fuelectenerg-13520	15	4	,	,	PUNCT
fuelectenerg-13520	15	5	the	the	DET
fuelectenerg-13520	15	6	authors	author	NOUN
fuelectenerg-13520	15	7	proposed	propose	VERB
fuelectenerg-13520	15	8	an	an	DET
fuelectenerg-13520	15	9	optimum	optimum	ADJ
fuelectenerg-13520	15	10	chebyshev	chebyshev	NOUN
fuelectenerg-13520	15	11	(	(	PUNCT
fuelectenerg-13520	15	12	c	c	NOUN
fuelectenerg-13520	15	13	)	)	PUNCT
fuelectenerg-13520	15	14	approximation	approximation	NOUN
fuelectenerg-13520	15	15	to	to	PART
fuelectenerg-13520	15	16	design	design	VERB
fuelectenerg-13520	15	17	all	all	DET
fuelectenerg-13520	15	18	-	-	PUNCT
fuelectenerg-13520	15	19	pole	pole	NOUN
fuelectenerg-13520	15	20	lowpass	lowpass	NOUN
fuelectenerg-13520	15	21	filters	filter	NOUN
fuelectenerg-13520	15	22	.	.	PUNCT
fuelectenerg-13520	16	1	optimum	optimum	ADJ
fuelectenerg-13520	16	2	c	c	NOUN
fuelectenerg-13520	16	3	filters	filter	NOUN
fuelectenerg-13520	16	4	are	be	AUX
fuelectenerg-13520	16	5	a	a	DET
fuelectenerg-13520	16	6	variant	variant	NOUN
fuelectenerg-13520	16	7	of	of	ADP
fuelectenerg-13520	16	8	c	c	NOUN
fuelectenerg-13520	16	9	filters	filter	NOUN
fuelectenerg-13520	16	10	that	that	PRON
fuelectenerg-13520	16	11	offer	offer	VERB
fuelectenerg-13520	16	12	an	an	DET
fuelectenerg-13520	16	13	optimum	optimum	ADJ
fuelectenerg-13520	16	14	solution	solution	NOUN
fuelectenerg-13520	16	15	for	for	ADP
fuelectenerg-13520	16	16	both	both	PRON
fuelectenerg-13520	16	17	analog	analog	NOUN
fuelectenerg-13520	16	18	and	and	CCONJ
fuelectenerg-13520	16	19	digital	digital	ADJ
fuelectenerg-13520	16	20	signal	signal	NOUN
fuelectenerg-13520	16	21	processing	processing	NOUN
fuelectenerg-13520	16	22	,	,	PUNCT
fuelectenerg-13520	16	23	where	where	SCONJ
fuelectenerg-13520	16	24	manuscript	manuscript	NOUN
fuelectenerg-13520	16	25	received	receive	VERB
fuelectenerg-13520	16	26	on	on	ADP
fuelectenerg-13520	16	27	mart	mart	PROPN
fuelectenerg-13520	16	28	25	25	NUM
fuelectenerg-13520	16	29	,	,	PUNCT
fuelectenerg-13520	16	30	2025	2025	NUM
fuelectenerg-13520	16	31	.	.	PUNCT
fuelectenerg-13520	17	1	corresponding	correspond	VERB
fuelectenerg-13520	17	2	author	author	NOUN
fuelectenerg-13520	17	3	:	:	PUNCT
fuelectenerg-13520	17	4	n.	n.	PROPN
fuelectenerg-13520	17	5	stojanović	stojanović	PROPN
fuelectenerg-13520	17	6	university	university	PROPN
fuelectenerg-13520	17	7	of	of	ADP
fuelectenerg-13520	17	8	nǐs	nǐs	PROPN
fuelectenerg-13520	17	9	,	,	PUNCT
fuelectenerg-13520	17	10	faculty	faculty	NOUN
fuelectenerg-13520	17	11	of	of	ADP
fuelectenerg-13520	17	12	electronic	electronic	ADJ
fuelectenerg-13520	17	13	engineering	engineering	NOUN
fuelectenerg-13520	17	14	.	.	PUNCT
fuelectenerg-13520	18	1	e	e	X
fuelectenerg-13520	18	2	-	-	NOUN
fuelectenerg-13520	18	3	mail	mail	NOUN
fuelectenerg-13520	18	4	:	:	PUNCT
fuelectenerg-13520	18	5	nikola.stojanovic@elfak.ni.ac.rs	nikola.stojanovic@elfak.ni.ac.rs	NOUN
fuelectenerg-13520	18	6	.	.	PUNCT
fuelectenerg-13520	19	1	99	99	NUM
fuelectenerg-13520	19	2	facta	facta	PROPN
fuelectenerg-13520	19	3	universitatis	universitatis	PROPN
fuelectenerg-13520	19	4	series	series	NOUN
fuelectenerg-13520	19	5	:	:	PUNCT
fuelectenerg-13520	19	6	electronics	electronic	NOUN
fuelectenerg-13520	19	7	and	and	CCONJ
fuelectenerg-13520	19	8	energetics	energetics	NOUN
fuelectenerg-13520	19	9	vol	vol	NOUN
fuelectenerg-13520	19	10	.	.	PROPN
fuelectenerg-13520	19	11	39	39	NUM
fuelectenerg-13520	19	12	,	,	PUNCT
fuelectenerg-13520	19	13	no	no	DET
fuelectenerg-13520	19	14	1	1	NUM
fuelectenerg-13520	19	15	,	,	PUNCT
fuelectenerg-13520	19	16	march	march	PROPN
fuelectenerg-13520	19	17	2026	2026	NUM
fuelectenerg-13520	19	18	,	,	PUNCT
fuelectenerg-13520	19	19	pp	pp	ADV
fuelectenerg-13520	19	20	.	.	PUNCT
fuelectenerg-13520	20	1	41	41	NUM
fuelectenerg-13520	20	2	53	53	NUM
fuelectenerg-13520	20	3	https://doi.org/10.2298/fuee2601041s	https://doi.org/10.2298/fuee2601041s	PROPN
fuelectenerg-13520	20	4	nikola	nikola	PROPN
fuelectenerg-13520	20	5	stojanović1	stojanović1	PROPN
fuelectenerg-13520	20	6	,	,	PUNCT
fuelectenerg-13520	20	7	ivan	ivan	PROPN
fuelectenerg-13520	20	8	krstić2	krstić2	PROPN
fuelectenerg-13520	20	9	,	,	PUNCT
fuelectenerg-13520	20	10	negovan	negovan	NOUN
fuelectenerg-13520	20	11	stamenković3	stamenković3	NOUN
fuelectenerg-13520	20	12	received	receive	VERB
fuelectenerg-13520	20	13	march	march	PROPN
fuelectenerg-13520	20	14	4	4	NUM
fuelectenerg-13520	20	15	,	,	PUNCT
fuelectenerg-13520	20	16	2025	2025	NUM
fuelectenerg-13520	20	17	;	;	PUNCT
fuelectenerg-13520	20	18	accepted	accept	VERB
fuelectenerg-13520	20	19	april	april	PROPN
fuelectenerg-13520	20	20	23	23	NUM
fuelectenerg-13520	20	21	,	,	PUNCT
fuelectenerg-13520	20	22	2025	2025	NUM
fuelectenerg-13520	20	23	corresponding	correspond	VERB
fuelectenerg-13520	20	24	author	author	NOUN
fuelectenerg-13520	20	25	:	:	PUNCT
fuelectenerg-13520	20	26	nikola	nikola	PROPN
fuelectenerg-13520	20	27	stojanović	stojanović	PROPN
fuelectenerg-13520	20	28	university	university	PROPN
fuelectenerg-13520	20	29	of	of	ADP
fuelectenerg-13520	20	30	niš	niš	PROPN
fuelectenerg-13520	20	31	,	,	PUNCT
fuelectenerg-13520	20	32	faculty	faculty	NOUN
fuelectenerg-13520	20	33	of	of	ADP
fuelectenerg-13520	20	34	electronic	electronic	ADJ
fuelectenerg-13520	20	35	engineering	engineering	NOUN
fuelectenerg-13520	20	36	,	,	PUNCT
fuelectenerg-13520	20	37	aleksandra	aleksandra	PROPN
fuelectenerg-13520	20	38	medvedeva	medvedeva	PROPN
fuelectenerg-13520	20	39	14	14	NUM
fuelectenerg-13520	20	40	,	,	PUNCT
fuelectenerg-13520	20	41	18000	18000	NUM
fuelectenerg-13520	20	42	niš	niš	NOUN
fuelectenerg-13520	20	43	,	,	PUNCT
fuelectenerg-13520	20	44	serbia	serbia	PROPN
fuelectenerg-13520	20	45	e	e	NOUN
fuelectenerg-13520	20	46	-	-	NOUN
fuelectenerg-13520	20	47	mail	mail	NOUN
fuelectenerg-13520	20	48	:	:	PUNCT
fuelectenerg-13520	21	1	nikola.stojanovic@elfak.ni.ac.rs	nikola.stojanovic@elfak.ni.ac.rs	NOUN
fuelectenerg-13520	21	2	1university	1university	NUM
fuelectenerg-13520	21	3	of	of	ADP
fuelectenerg-13520	21	4	niš	niš	NOUN
fuelectenerg-13520	21	5	,	,	PUNCT
fuelectenerg-13520	21	6	faculty	faculty	NOUN
fuelectenerg-13520	21	7	of	of	ADP
fuelectenerg-13520	21	8	electronic	electronic	ADJ
fuelectenerg-13520	21	9	engineering	engineering	NOUN
fuelectenerg-13520	21	10	,	,	PUNCT
fuelectenerg-13520	21	11	niš	niš	NOUN
fuelectenerg-13520	21	12	,	,	PUNCT
fuelectenerg-13520	21	13	serbia	serbia	PROPN
fuelectenerg-13520	21	14	2university	2university	PROPN
fuelectenerg-13520	21	15	of	of	ADP
fuelectenerg-13520	21	16	kragujevac	kragujevac	PROPN
fuelectenerg-13520	21	17	,	,	PUNCT
fuelectenerg-13520	21	18	faculty	faculty	NOUN
fuelectenerg-13520	21	19	of	of	ADP
fuelectenerg-13520	21	20	engineering	engineering	NOUN
fuelectenerg-13520	21	21	,	,	PUNCT
fuelectenerg-13520	21	22	kragujevac	kragujevac	PROPN
fuelectenerg-13520	21	23	,	,	PUNCT
fuelectenerg-13520	21	24	serbia	serbia	PROPN
fuelectenerg-13520	21	25	3university	3university	PROPN
fuelectenerg-13520	21	26	of	of	ADP
fuelectenerg-13520	21	27	priština	priština	PROPN
fuelectenerg-13520	21	28	,	,	PUNCT
fuelectenerg-13520	21	29	faculty	faculty	NOUN
fuelectenerg-13520	21	30	of	of	ADP
fuelectenerg-13520	21	31	natural	natural	ADJ
fuelectenerg-13520	21	32	science	science	NOUN
fuelectenerg-13520	21	33	and	and	CCONJ
fuelectenerg-13520	21	34	mathematics	mathematic	NOUN
fuelectenerg-13520	21	35	,	,	PUNCT
fuelectenerg-13520	21	36	serbia	serbia	PROPN
fuelectenerg-13520	21	37	abstract	abstract	ADJ
fuelectenerg-13520	21	38	.	.	PUNCT
fuelectenerg-13520	22	1	the	the	DET
fuelectenerg-13520	22	2	paper	paper	NOUN
fuelectenerg-13520	22	3	compares	compare	VERB
fuelectenerg-13520	22	4	the	the	DET
fuelectenerg-13520	22	5	characteristics	characteristic	NOUN
fuelectenerg-13520	22	6	of	of	ADP
fuelectenerg-13520	22	7	optimum	optimum	ADJ
fuelectenerg-13520	22	8	chebyshev	chebyshev	NOUN
fuelectenerg-13520	22	9	filters	filter	NOUN
fuelectenerg-13520	22	10	with	with	ADP
fuelectenerg-13520	22	11	a	a	DET
fuelectenerg-13520	22	12	finite	finite	ADJ
fuelectenerg-13520	22	13	transmission	transmission	NOUN
fuelectenerg-13520	22	14	zero	zero	NUM
fuelectenerg-13520	22	15	pair	pair	NOUN
fuelectenerg-13520	22	16	of	of	ADP
fuelectenerg-13520	22	17	arbitrary	arbitrary	ADJ
fuelectenerg-13520	22	18	multiplicity	multiplicity	NOUN
fuelectenerg-13520	22	19	to	to	ADP
fuelectenerg-13520	22	20	those	those	PRON
fuelectenerg-13520	22	21	of	of	ADP
fuelectenerg-13520	22	22	optimum	optimum	ADJ
fuelectenerg-13520	22	23	chebyshev	chebyshev	NOUN
fuelectenerg-13520	22	24	allpole	allpole	NOUN
fuelectenerg-13520	22	25	filters	filter	NOUN
fuelectenerg-13520	22	26	.	.	PUNCT
fuelectenerg-13520	23	1	by	by	ADP
fuelectenerg-13520	23	2	introducing	introduce	VERB
fuelectenerg-13520	23	3	a	a	DET
fuelectenerg-13520	23	4	transmission	transmission	NOUN
fuelectenerg-13520	23	5	zero	zero	NUM
fuelectenerg-13520	23	6	pair	pair	NOUN
fuelectenerg-13520	23	7	(	(	PUNCT
fuelectenerg-13520	23	8	single	single	ADJ
fuelectenerg-13520	23	9	or	or	CCONJ
fuelectenerg-13520	23	10	multiple	multiple	ADJ
fuelectenerg-13520	23	11	)	)	PUNCT
fuelectenerg-13520	23	12	at	at	ADP
fuelectenerg-13520	23	13	a	a	DET
fuelectenerg-13520	23	14	real	real	ADJ
fuelectenerg-13520	23	15	frequency	frequency	NOUN
fuelectenerg-13520	23	16	into	into	ADP
fuelectenerg-13520	23	17	the	the	DET
fuelectenerg-13520	23	18	transcendental	transcendental	ADJ
fuelectenerg-13520	23	19	form	form	NOUN
fuelectenerg-13520	23	20	of	of	ADP
fuelectenerg-13520	23	21	the	the	DET
fuelectenerg-13520	23	22	chebyshev	chebyshev	NOUN
fuelectenerg-13520	23	23	polynomial	polynomial	NOUN
fuelectenerg-13520	23	24	,	,	PUNCT
fuelectenerg-13520	23	25	the	the	DET
fuelectenerg-13520	23	26	filter	filter	NOUN
fuelectenerg-13520	23	27	achieves	achieve	VERB
fuelectenerg-13520	23	28	a	a	DET
fuelectenerg-13520	23	29	specified	specified	ADJ
fuelectenerg-13520	23	30	minimum	minimum	ADJ
fuelectenerg-13520	23	31	attenuation	attenuation	NOUN
fuelectenerg-13520	23	32	extreme	extreme	ADJ
fuelectenerg-13520	23	33	value	value	NOUN
fuelectenerg-13520	23	34	in	in	ADP
fuelectenerg-13520	23	35	the	the	DET
fuelectenerg-13520	23	36	stopband	stopband	NOUN
fuelectenerg-13520	23	37	,	,	PUNCT
fuelectenerg-13520	23	38	thereby	thereby	ADV
fuelectenerg-13520	23	39	improving	improve	VERB
fuelectenerg-13520	23	40	the	the	DET
fuelectenerg-13520	23	41	cutoff	cutoff	NOUN
fuelectenerg-13520	23	42	slope	slope	NOUN
fuelectenerg-13520	23	43	.	.	PUNCT
fuelectenerg-13520	24	1	additionally	additionally	ADV
fuelectenerg-13520	24	2	,	,	PUNCT
fuelectenerg-13520	24	3	the	the	DET
fuelectenerg-13520	24	4	paper	paper	NOUN
fuelectenerg-13520	24	5	presents	present	VERB
fuelectenerg-13520	24	6	a	a	DET
fuelectenerg-13520	24	7	new	new	ADJ
fuelectenerg-13520	24	8	method	method	NOUN
fuelectenerg-13520	24	9	for	for	ADP
fuelectenerg-13520	24	10	deriving	derive	VERB
fuelectenerg-13520	24	11	a	a	DET
fuelectenerg-13520	24	12	rational	rational	ADJ
fuelectenerg-13520	24	13	polynomial	polynomial	ADJ
fuelectenerg-13520	24	14	form	form	NOUN
fuelectenerg-13520	24	15	of	of	ADP
fuelectenerg-13520	24	16	the	the	DET
fuelectenerg-13520	24	17	optimum	optimum	ADJ
fuelectenerg-13520	24	18	chebyshev	chebyshev	NOUN
fuelectenerg-13520	24	19	filtering	filtering	NOUN
fuelectenerg-13520	24	20	function	function	NOUN
fuelectenerg-13520	24	21	from	from	ADP
fuelectenerg-13520	24	22	its	its	PRON
fuelectenerg-13520	24	23	transcendental	transcendental	ADJ
fuelectenerg-13520	24	24	form	form	NOUN
fuelectenerg-13520	24	25	,	,	PUNCT
fuelectenerg-13520	24	26	which	which	PRON
fuelectenerg-13520	24	27	is	be	AUX
fuelectenerg-13520	24	28	essential	essential	ADJ
fuelectenerg-13520	24	29	for	for	ADP
fuelectenerg-13520	24	30	determining	determine	VERB
fuelectenerg-13520	24	31	the	the	DET
fuelectenerg-13520	24	32	poles	pole	NOUN
fuelectenerg-13520	24	33	of	of	ADP
fuelectenerg-13520	24	34	the	the	DET
fuelectenerg-13520	24	35	filter	filter	NOUN
fuelectenerg-13520	24	36	’s	’s	PART
fuelectenerg-13520	24	37	transfer	transfer	NOUN
fuelectenerg-13520	24	38	function	function	NOUN
fuelectenerg-13520	24	39	.	.	PUNCT
fuelectenerg-13520	25	1	the	the	DET
fuelectenerg-13520	25	2	method	method	NOUN
fuelectenerg-13520	25	3	is	be	AUX
fuelectenerg-13520	25	4	straightforward	straightforward	ADJ
fuelectenerg-13520	25	5	and	and	CCONJ
fuelectenerg-13520	25	6	does	do	AUX
fuelectenerg-13520	25	7	not	not	PART
fuelectenerg-13520	25	8	rely	rely	VERB
fuelectenerg-13520	25	9	on	on	ADP
fuelectenerg-13520	25	10	optimization	optimization	NOUN
fuelectenerg-13520	25	11	or	or	CCONJ
fuelectenerg-13520	25	12	recursive	recursive	ADJ
fuelectenerg-13520	25	13	formulas	formula	NOUN
fuelectenerg-13520	25	14	.	.	PUNCT
fuelectenerg-13520	26	1	the	the	DET
fuelectenerg-13520	26	2	proposed	propose	VERB
fuelectenerg-13520	26	3	approach	approach	NOUN
fuelectenerg-13520	26	4	is	be	AUX
fuelectenerg-13520	26	5	validated	validate	VERB
fuelectenerg-13520	26	6	and	and	CCONJ
fuelectenerg-13520	26	7	illustrated	illustrate	VERB
fuelectenerg-13520	26	8	using	use	VERB
fuelectenerg-13520	26	9	an	an	DET
fuelectenerg-13520	26	10	example	example	NOUN
fuelectenerg-13520	26	11	.	.	PUNCT
fuelectenerg-13520	27	1	although	although	SCONJ
fuelectenerg-13520	27	2	this	this	DET
fuelectenerg-13520	27	3	approximation	approximation	NOUN
fuelectenerg-13520	27	4	is	be	AUX
fuelectenerg-13520	27	5	primarily	primarily	ADV
fuelectenerg-13520	27	6	intended	intend	VERB
fuelectenerg-13520	27	7	for	for	ADP
fuelectenerg-13520	27	8	microwave	microwave	NOUN
fuelectenerg-13520	27	9	filter	filter	NOUN
fuelectenerg-13520	27	10	applications	application	NOUN
fuelectenerg-13520	27	11	,	,	PUNCT
fuelectenerg-13520	27	12	it	it	PRON
fuelectenerg-13520	27	13	can	can	AUX
fuelectenerg-13520	27	14	also	also	ADV
fuelectenerg-13520	27	15	be	be	AUX
fuelectenerg-13520	27	16	applied	apply	VERB
fuelectenerg-13520	27	17	to	to	ADP
fuelectenerg-13520	27	18	both	both	CCONJ
fuelectenerg-13520	27	19	analog	analog	NOUN
fuelectenerg-13520	27	20	and	and	CCONJ
fuelectenerg-13520	27	21	digital	digital	ADJ
fuelectenerg-13520	27	22	signal	signal	NOUN
fuelectenerg-13520	27	23	processing	processing	NOUN
fuelectenerg-13520	27	24	.	.	PUNCT
fuelectenerg-13520	28	1	key	key	ADJ
fuelectenerg-13520	28	2	words	word	NOUN
fuelectenerg-13520	28	3	:	:	PUNCT
fuelectenerg-13520	28	4	optimum	optimum	ADJ
fuelectenerg-13520	28	5	chebyshev	chebyshev	NOUN
fuelectenerg-13520	28	6	filters	filter	NOUN
fuelectenerg-13520	28	7	,	,	PUNCT
fuelectenerg-13520	28	8	finite	finite	VERB
fuelectenerg-13520	28	9	transmission	transmission	NOUN
fuelectenerg-13520	28	10	zeros	zero	NOUN
fuelectenerg-13520	28	11	,	,	PUNCT
fuelectenerg-13520	28	12	multiple	multiple	ADJ
fuelectenerg-13520	28	13	zeros	zero	NOUN
fuelectenerg-13520	28	14	,	,	PUNCT
fuelectenerg-13520	28	15	halfpower	halfpower	NOUN
fuelectenerg-13520	28	16	bandwidth	bandwidth	NOUN
fuelectenerg-13520	28	17	.	.	PUNCT
fuelectenerg-13520	29	1	©	©	ADP
fuelectenerg-13520	29	2	2026	2026	NUM
fuelectenerg-13520	29	3	by	by	ADP
fuelectenerg-13520	29	4	university	university	PROPN
fuelectenerg-13520	29	5	of	of	ADP
fuelectenerg-13520	29	6	niš	niš	PROPN
fuelectenerg-13520	29	7	,	,	PUNCT
fuelectenerg-13520	29	8	serbia	serbia	PROPN
fuelectenerg-13520	29	9	|	|	ADV
fuelectenerg-13520	29	10	creative	creative	ADJ
fuelectenerg-13520	29	11	commons	common	NOUN
fuelectenerg-13520	29	12	license	license	NOUN
fuelectenerg-13520	29	13	:	:	PUNCT
fuelectenerg-13520	29	14	cc	cc	VERB
fuelectenerg-13520	29	15	by	by	ADP
fuelectenerg-13520	29	16	-	-	PUNCT
fuelectenerg-13520	29	17	nc	nc	VERB
fuelectenerg-13520	29	18	-	-	PUNCT
fuelectenerg-13520	29	19	nd	nd	ADV
fuelectenerg-13520	29	20	original	original	ADJ
fuelectenerg-13520	29	21	scientific	scientific	ADJ
fuelectenerg-13520	29	22	paper	paper	NOUN
fuelectenerg-13520	29	23	optimum	optimum	ADJ
fuelectenerg-13520	29	24	chebyshev	chebyshev	NOUN
fuelectenerg-13520	29	25	lowpass	lowpass	NOUN
fuelectenerg-13520	29	26	filter	filter	NOUN
fuelectenerg-13520	29	27	with	with	ADP
fuelectenerg-13520	29	28	a	a	DET
fuelectenerg-13520	29	29	pair	pair	NOUN
fuelectenerg-13520	29	30	of	of	ADP
fuelectenerg-13520	29	31	imaginary	imaginary	ADJ
fuelectenerg-13520	29	32	axis	axis	NOUN
fuelectenerg-13520	29	33	zeros	zero	NOUN
fuelectenerg-13520	29	34	orcid	orcid	NOUN
fuelectenerg-13520	29	35	ids	id	NOUN
fuelectenerg-13520	29	36	:	:	PUNCT
fuelectenerg-13520	29	37	nikola	nikola	PROPN
fuelectenerg-13520	29	38	stojanović	stojanović	PROPN
fuelectenerg-13520	29	39	https://orcid	https://orcid	PROPN
fuelectenerg-13520	29	40	org/0000	org/0000	NOUN
fuelectenerg-13520	29	41	-	-	PUNCT
fuelectenerg-13520	29	42	0003	0003	NUM
fuelectenerg-13520	29	43	-	-	PUNCT
fuelectenerg-13520	29	44	3723	3723	NUM
fuelectenerg-13520	29	45	-	-	PUNCT
fuelectenerg-13520	29	46	8840	8840	NUM
fuelectenerg-13520	29	47	ivan	ivan	PROPN
fuelectenerg-13520	29	48	krstić	krstić	PROPN
fuelectenerg-13520	29	49	https://orcid	https://orcid	PROPN
fuelectenerg-13520	29	50	org/0000	org/0000	ADV
fuelectenerg-13520	29	51	-	-	PUNCT
fuelectenerg-13520	29	52	0001	0001	NUM
fuelectenerg-13520	29	53	-	-	PUNCT
fuelectenerg-13520	29	54	7583	7583	NUM
fuelectenerg-13520	29	55	-	-	PUNCT
fuelectenerg-13520	29	56	3152	3152	NUM
fuelectenerg-13520	29	57	negovan	negovan	NOUN
fuelectenerg-13520	29	58	stamenković	stamenković	NOUN
fuelectenerg-13520	29	59	https://orcid	https://orcid	PROPN
fuelectenerg-13520	29	60	org/0000	org/0000	NOUN
fuelectenerg-13520	29	61	-	-	PUNCT
fuelectenerg-13520	29	62	0003	0003	NUM
fuelectenerg-13520	29	63	-	-	PUNCT
fuelectenerg-13520	29	64	4025	4025	NUM
fuelectenerg-13520	29	65	-	-	SYM
fuelectenerg-13520	29	66	5342	5342	NUM
fuelectenerg-13520	29	67	100	100	NUM
fuelectenerg-13520	29	68	n.	n.	NOUN
fuelectenerg-13520	29	69	stojanović	stojanović	PROPN
fuelectenerg-13520	29	70	,	,	PUNCT
fuelectenerg-13520	29	71	i.	i.	PROPN
fuelectenerg-13520	29	72	krstić	krstić	PROPN
fuelectenerg-13520	29	73	,	,	PUNCT
fuelectenerg-13520	29	74	n.	n.	PROPN
fuelectenerg-13520	29	75	stamenković	stamenković	VERB
fuelectenerg-13520	29	76	the	the	DET
fuelectenerg-13520	29	77	magnitude	magnitude	NOUN
fuelectenerg-13520	29	78	response	response	NOUN
fuelectenerg-13520	29	79	of	of	ADP
fuelectenerg-13520	29	80	the	the	DET
fuelectenerg-13520	29	81	transfer	transfer	NOUN
fuelectenerg-13520	29	82	function	function	NOUN
fuelectenerg-13520	29	83	is	be	AUX
fuelectenerg-13520	29	84	of	of	ADP
fuelectenerg-13520	29	85	primary	primary	ADJ
fuelectenerg-13520	29	86	interest	interest	NOUN
fuelectenerg-13520	29	87	.	.	PUNCT
fuelectenerg-13520	30	1	key	key	ADJ
fuelectenerg-13520	30	2	features	feature	NOUN
fuelectenerg-13520	30	3	of	of	ADP
fuelectenerg-13520	30	4	this	this	DET
fuelectenerg-13520	30	5	approximation	approximation	NOUN
fuelectenerg-13520	30	6	include	include	VERB
fuelectenerg-13520	30	7	minimum	minimum	ADJ
fuelectenerg-13520	30	8	return	return	NOUN
fuelectenerg-13520	30	9	loss	loss	NOUN
fuelectenerg-13520	30	10	within	within	ADP
fuelectenerg-13520	30	11	the	the	DET
fuelectenerg-13520	30	12	half	half	ADJ
fuelectenerg-13520	30	13	-	-	PUNCT
fuelectenerg-13520	30	14	power	power	NOUN
fuelectenerg-13520	30	15	bandwidth	bandwidth	NOUN
fuelectenerg-13520	30	16	and	and	CCONJ
fuelectenerg-13520	30	17	maximum	maximum	ADJ
fuelectenerg-13520	30	18	out	out	ADV
fuelectenerg-13520	30	19	-	-	PUNCT
fuelectenerg-13520	30	20	of	of	ADP
fuelectenerg-13520	30	21	-	-	PUNCT
fuelectenerg-13520	30	22	band	band	NOUN
fuelectenerg-13520	30	23	rejection	rejection	NOUN
fuelectenerg-13520	30	24	.	.	PUNCT
fuelectenerg-13520	31	1	in	in	ADP
fuelectenerg-13520	31	2	other	other	ADJ
fuelectenerg-13520	31	3	words	word	NOUN
fuelectenerg-13520	31	4	,	,	PUNCT
fuelectenerg-13520	31	5	the	the	DET
fuelectenerg-13520	31	6	extremal	extremal	ADJ
fuelectenerg-13520	31	7	properties	property	NOUN
fuelectenerg-13520	31	8	of	of	ADP
fuelectenerg-13520	31	9	the	the	DET
fuelectenerg-13520	31	10	chebyshev	chebyshev	NOUN
fuelectenerg-13520	31	11	approximation	approximation	NOUN
fuelectenerg-13520	31	12	are	be	AUX
fuelectenerg-13520	31	13	preserved	preserve	VERB
fuelectenerg-13520	31	14	.	.	PUNCT
fuelectenerg-13520	32	1	since	since	SCONJ
fuelectenerg-13520	32	2	the	the	DET
fuelectenerg-13520	32	3	characteristic	characteristic	ADJ
fuelectenerg-13520	32	4	function	function	NOUN
fuelectenerg-13520	32	5	of	of	ADP
fuelectenerg-13520	32	6	the	the	DET
fuelectenerg-13520	32	7	lowpass	lowpass	NOUN
fuelectenerg-13520	32	8	filter1	filter1	NOUN
fuelectenerg-13520	32	9	represents	represent	VERB
fuelectenerg-13520	32	10	the	the	DET
fuelectenerg-13520	32	11	ratio	ratio	NOUN
fuelectenerg-13520	32	12	of	of	ADP
fuelectenerg-13520	32	13	reflected	reflected	ADJ
fuelectenerg-13520	32	14	power	power	NOUN
fuelectenerg-13520	32	15	to	to	ADP
fuelectenerg-13520	32	16	transmitted	transmit	VERB
fuelectenerg-13520	32	17	power	power	NOUN
fuelectenerg-13520	32	18	,	,	PUNCT
fuelectenerg-13520	32	19	the	the	DET
fuelectenerg-13520	32	20	ripple	ripple	ADJ
fuelectenerg-13520	32	21	factor	factor	NOUN
fuelectenerg-13520	32	22	minimizes	minimize	VERB
fuelectenerg-13520	32	23	the	the	DET
fuelectenerg-13520	32	24	area	area	NOUN
fuelectenerg-13520	32	25	below	below	ADP
fuelectenerg-13520	32	26	the	the	DET
fuelectenerg-13520	32	27	characteristic	characteristic	ADJ
fuelectenerg-13520	32	28	function	function	NOUN
fuelectenerg-13520	32	29	within	within	ADP
fuelectenerg-13520	32	30	the	the	DET
fuelectenerg-13520	32	31	half	half	ADJ
fuelectenerg-13520	32	32	-	-	PUNCT
fuelectenerg-13520	32	33	power	power	NOUN
fuelectenerg-13520	32	34	passband	passband	NOUN
fuelectenerg-13520	32	35	.	.	PUNCT
fuelectenerg-13520	33	1	the	the	DET
fuelectenerg-13520	33	2	value	value	NOUN
fuelectenerg-13520	33	3	of	of	ADP
fuelectenerg-13520	33	4	the	the	DET
fuelectenerg-13520	33	5	optimum	optimum	ADJ
fuelectenerg-13520	33	6	ripple	ripple	ADJ
fuelectenerg-13520	33	7	factor	factor	NOUN
fuelectenerg-13520	33	8	,	,	PUNCT
fuelectenerg-13520	33	9	εo	εo	NOUN
fuelectenerg-13520	33	10	,	,	PUNCT
fuelectenerg-13520	33	11	is	be	AUX
fuelectenerg-13520	33	12	unique	unique	ADJ
fuelectenerg-13520	33	13	for	for	ADP
fuelectenerg-13520	33	14	a	a	DET
fuelectenerg-13520	33	15	given	give	VERB
fuelectenerg-13520	33	16	filter	filter	NOUN
fuelectenerg-13520	33	17	degree	degree	NOUN
fuelectenerg-13520	33	18	,	,	PUNCT
fuelectenerg-13520	33	19	whether	whether	SCONJ
fuelectenerg-13520	33	20	even	even	ADV
fuelectenerg-13520	33	21	or	or	CCONJ
fuelectenerg-13520	33	22	odd	odd	ADJ
fuelectenerg-13520	33	23	,	,	PUNCT
fuelectenerg-13520	33	24	and	and	CCONJ
fuelectenerg-13520	33	25	the	the	DET
fuelectenerg-13520	33	26	transfer	transfer	NOUN
fuelectenerg-13520	33	27	functions	function	NOUN
fuelectenerg-13520	33	28	of	of	ADP
fuelectenerg-13520	33	29	the	the	DET
fuelectenerg-13520	33	30	optimum	optimum	ADJ
fuelectenerg-13520	33	31	c	c	NOUN
fuelectenerg-13520	33	32	filters	filter	NOUN
fuelectenerg-13520	33	33	can	can	AUX
fuelectenerg-13520	33	34	be	be	AUX
fuelectenerg-13520	33	35	systematically	systematically	ADV
fuelectenerg-13520	33	36	cataloged	catalog	VERB
fuelectenerg-13520	34	1	[	[	X
fuelectenerg-13520	34	2	1	1	NUM
fuelectenerg-13520	34	3	]	]	PUNCT
fuelectenerg-13520	34	4	.	.	PUNCT
fuelectenerg-13520	35	1	no	no	DET
fuelectenerg-13520	35	2	all	all	PRON
fuelectenerg-13520	35	3	-	-	PUNCT
fuelectenerg-13520	35	4	pole	pole	NOUN
fuelectenerg-13520	35	5	transfer	transfer	NOUN
fuelectenerg-13520	35	6	function	function	NOUN
fuelectenerg-13520	35	7	offers	offer	VERB
fuelectenerg-13520	35	8	a	a	DET
fuelectenerg-13520	35	9	lower	low	ADJ
fuelectenerg-13520	35	10	(	(	PUNCT
fuelectenerg-13520	35	11	or	or	CCONJ
fuelectenerg-13520	35	12	equal	equal	ADJ
fuelectenerg-13520	35	13	)	)	PUNCT
fuelectenerg-13520	35	14	return	return	VERB
fuelectenerg-13520	35	15	loss	loss	NOUN
fuelectenerg-13520	35	16	with	with	ADP
fuelectenerg-13520	35	17	a	a	DET
fuelectenerg-13520	35	18	steeper	steep	ADJ
fuelectenerg-13520	35	19	cutoff	cutoff	NOUN
fuelectenerg-13520	35	20	slope	slope	NOUN
fuelectenerg-13520	35	21	.	.	PUNCT
fuelectenerg-13520	36	1	the	the	DET
fuelectenerg-13520	36	2	small	small	ADJ
fuelectenerg-13520	36	3	value	value	NOUN
fuelectenerg-13520	36	4	of	of	ADP
fuelectenerg-13520	36	5	εo	εo	ADJ
fuelectenerg-13520	36	6	leads	lead	NOUN
fuelectenerg-13520	36	7	to	to	PART
fuelectenerg-13520	36	8	reduced	reduce	VERB
fuelectenerg-13520	36	9	out	out	ADP
fuelectenerg-13520	36	10	-	-	PUNCT
fuelectenerg-13520	36	11	of	of	ADP
fuelectenerg-13520	36	12	-	-	PUNCT
fuelectenerg-13520	36	13	band	band	NOUN
fuelectenerg-13520	36	14	attenuation	attenuation	NOUN
fuelectenerg-13520	36	15	.	.	PUNCT
fuelectenerg-13520	37	1	for	for	ADP
fuelectenerg-13520	37	2	example	example	NOUN
fuelectenerg-13520	37	3	,	,	PUNCT
fuelectenerg-13520	37	4	the	the	DET
fuelectenerg-13520	37	5	ripple	ripple	ADJ
fuelectenerg-13520	37	6	factor	factor	NOUN
fuelectenerg-13520	37	7	of	of	ADP
fuelectenerg-13520	37	8	the	the	DET
fuelectenerg-13520	37	9	optimum	optimum	ADJ
fuelectenerg-13520	37	10	7th	7th	ADJ
fuelectenerg-13520	37	11	degree	degree	NOUN
fuelectenerg-13520	37	12	c	c	NOUN
fuelectenerg-13520	37	13	all	all	DET
fuelectenerg-13520	37	14	-	-	PUNCT
fuelectenerg-13520	37	15	pole	pole	NOUN
fuelectenerg-13520	37	16	filter	filter	NOUN
fuelectenerg-13520	37	17	is	be	AUX
fuelectenerg-13520	37	18	only	only	ADV
fuelectenerg-13520	37	19	εo	εo	ADP
fuelectenerg-13520	37	20	=	=	SYM
fuelectenerg-13520	37	21	0.0935	0.0935	NUM
fuelectenerg-13520	37	22	and	and	CCONJ
fuelectenerg-13520	37	23	decreases	decrease	VERB
fuelectenerg-13520	37	24	as	as	ADP
fuelectenerg-13520	37	25	the	the	DET
fuelectenerg-13520	37	26	filter	filter	NOUN
fuelectenerg-13520	37	27	degree	degree	NOUN
fuelectenerg-13520	37	28	increases	increase	NOUN
fuelectenerg-13520	37	29	.	.	PUNCT
fuelectenerg-13520	38	1	therefore	therefore	ADV
fuelectenerg-13520	38	2	,	,	PUNCT
fuelectenerg-13520	38	3	it	it	PRON
fuelectenerg-13520	38	4	is	be	AUX
fuelectenerg-13520	38	5	necessary	necessary	ADJ
fuelectenerg-13520	38	6	to	to	PART
fuelectenerg-13520	38	7	improve	improve	VERB
fuelectenerg-13520	38	8	out	out	ADP
fuelectenerg-13520	38	9	-	-	PUNCT
fuelectenerg-13520	38	10	ofband	ofband	NOUN
fuelectenerg-13520	38	11	attenuation	attenuation	NOUN
fuelectenerg-13520	38	12	while	while	SCONJ
fuelectenerg-13520	38	13	preserving	preserve	VERB
fuelectenerg-13520	38	14	the	the	DET
fuelectenerg-13520	38	15	passband	passband	NOUN
fuelectenerg-13520	38	16	ripple	ripple	NOUN
fuelectenerg-13520	38	17	at	at	ADP
fuelectenerg-13520	38	18	εo	εo	NOUN
fuelectenerg-13520	38	19	.	.	PUNCT
fuelectenerg-13520	39	1	one	one	NUM
fuelectenerg-13520	39	2	or	or	CCONJ
fuelectenerg-13520	39	3	more	more	ADJ
fuelectenerg-13520	39	4	pairs	pair	NOUN
fuelectenerg-13520	39	5	of	of	ADP
fuelectenerg-13520	39	6	poles	pole	NOUN
fuelectenerg-13520	39	7	can	can	AUX
fuelectenerg-13520	39	8	be	be	AUX
fuelectenerg-13520	39	9	added	add	VERB
fuelectenerg-13520	39	10	to	to	ADP
fuelectenerg-13520	39	11	its	its	PRON
fuelectenerg-13520	39	12	characteristic	characteristic	ADJ
fuelectenerg-13520	39	13	function	function	NOUN
fuelectenerg-13520	39	14	to	to	PART
fuelectenerg-13520	39	15	enhance	enhance	VERB
fuelectenerg-13520	39	16	the	the	DET
fuelectenerg-13520	39	17	performance	performance	NOUN
fuelectenerg-13520	39	18	of	of	ADP
fuelectenerg-13520	39	19	the	the	DET
fuelectenerg-13520	39	20	stopband	stopband	NOUN
fuelectenerg-13520	39	21	.	.	PUNCT
fuelectenerg-13520	40	1	these	these	DET
fuelectenerg-13520	40	2	poles	pole	NOUN
fuelectenerg-13520	40	3	may	may	AUX
fuelectenerg-13520	40	4	be	be	AUX
fuelectenerg-13520	40	5	distinct	distinct	ADJ
fuelectenerg-13520	40	6	or	or	CCONJ
fuelectenerg-13520	40	7	coincident	coincident	NOUN
fuelectenerg-13520	40	8	.	.	PUNCT
fuelectenerg-13520	41	1	there	there	PRON
fuelectenerg-13520	41	2	are	be	VERB
fuelectenerg-13520	41	3	two	two	NUM
fuelectenerg-13520	41	4	approaches	approach	NOUN
fuelectenerg-13520	41	5	to	to	ADP
fuelectenerg-13520	41	6	incorporating	incorporate	VERB
fuelectenerg-13520	41	7	poles	pole	NOUN
fuelectenerg-13520	41	8	into	into	ADP
fuelectenerg-13520	41	9	the	the	DET
fuelectenerg-13520	41	10	optimum	optimum	ADJ
fuelectenerg-13520	41	11	c	c	NOUN
fuelectenerg-13520	41	12	characteristic	characteristic	ADJ
fuelectenerg-13520	41	13	function	function	NOUN
fuelectenerg-13520	41	14	,	,	PUNCT
fuelectenerg-13520	41	15	depending	depend	VERB
fuelectenerg-13520	41	16	on	on	ADP
fuelectenerg-13520	41	17	whether	whether	SCONJ
fuelectenerg-13520	41	18	it	it	PRON
fuelectenerg-13520	41	19	is	be	AUX
fuelectenerg-13520	41	20	expressed	express	VERB
fuelectenerg-13520	41	21	in	in	ADP
fuelectenerg-13520	41	22	polynomial	polynomial	ADJ
fuelectenerg-13520	41	23	or	or	CCONJ
fuelectenerg-13520	41	24	transcendental	transcendental	ADJ
fuelectenerg-13520	41	25	form	form	NOUN
fuelectenerg-13520	41	26	.	.	PUNCT
fuelectenerg-13520	42	1	in	in	ADP
fuelectenerg-13520	42	2	the	the	DET
fuelectenerg-13520	42	3	first	first	ADJ
fuelectenerg-13520	42	4	approach	approach	NOUN
fuelectenerg-13520	42	5	[	[	X
fuelectenerg-13520	42	6	5–8	5–8	NOUN
fuelectenerg-13520	42	7	]	]	PUNCT
fuelectenerg-13520	42	8	,	,	PUNCT
fuelectenerg-13520	42	9	a	a	DET
fuelectenerg-13520	42	10	pair	pair	NOUN
fuelectenerg-13520	42	11	of	of	ADP
fuelectenerg-13520	42	12	transmission	transmission	NOUN
fuelectenerg-13520	42	13	zeros	zero	NOUN
fuelectenerg-13520	42	14	of	of	ADP
fuelectenerg-13520	42	15	multiplicity	multiplicity	NOUN
fuelectenerg-13520	42	16	m	m	VERB
fuelectenerg-13520	42	17	at	at	ADP
fuelectenerg-13520	42	18	the	the	DET
fuelectenerg-13520	42	19	real	real	ADJ
fuelectenerg-13520	42	20	frequency	frequency	NOUN
fuelectenerg-13520	42	21	ω	ω	NOUN
fuelectenerg-13520	42	22	=	=	X
fuelectenerg-13520	42	23	±jω0	±jω0	NOUN
fuelectenerg-13520	42	24	is	be	AUX
fuelectenerg-13520	42	25	introduced	introduce	VERB
fuelectenerg-13520	42	26	into	into	ADP
fuelectenerg-13520	42	27	the	the	DET
fuelectenerg-13520	42	28	characteristic	characteristic	ADJ
fuelectenerg-13520	42	29	function	function	NOUN
fuelectenerg-13520	42	30	of	of	ADP
fuelectenerg-13520	42	31	the	the	DET
fuelectenerg-13520	42	32	optimum	optimum	ADJ
fuelectenerg-13520	42	33	c	c	NOUN
fuelectenerg-13520	42	34	filter	filter	NOUN
fuelectenerg-13520	42	35	,	,	PUNCT
fuelectenerg-13520	42	36	modifying	modify	VERB
fuelectenerg-13520	42	37	it	it	PRON
fuelectenerg-13520	42	38	as	as	SCONJ
fuelectenerg-13520	42	39	follows	follow	VERB
fuelectenerg-13520	42	40	:	:	PUNCT
fuelectenerg-13520	42	41	ψn(ω	ψn(ω	NUM
fuelectenerg-13520	42	42	)	)	PUNCT
fuelectenerg-13520	42	43	=	=	SYM
fuelectenerg-13520	43	1	ε2oc	ε2oc	PUNCT
fuelectenerg-13520	43	2	2	2	NUM
fuelectenerg-13520	43	3	n(ω)(ω	n(ω)(ω	NUM
fuelectenerg-13520	43	4	2	2	NUM
fuelectenerg-13520	43	5	0	0	NUM
fuelectenerg-13520	43	6	−	−	PROPN
fuelectenerg-13520	43	7	1)2m/(ω2	1)2m/(ω2	NUM
fuelectenerg-13520	43	8	−	−	PROPN
fuelectenerg-13520	43	9	ω2	ω2	ADJ
fuelectenerg-13520	43	10	0	0	NUM
fuelectenerg-13520	43	11	)	)	PUNCT
fuelectenerg-13520	43	12	2	2	NUM
fuelectenerg-13520	43	13	m.	m.	NOUN
fuelectenerg-13520	43	14	this	this	DET
fuelectenerg-13520	43	15	modification	modification	NOUN
fuelectenerg-13520	43	16	preserves	preserve	VERB
fuelectenerg-13520	43	17	the	the	DET
fuelectenerg-13520	43	18	filter	filter	NOUN
fuelectenerg-13520	43	19	degree	degree	NOUN
fuelectenerg-13520	43	20	n	n	NOUN
fuelectenerg-13520	43	21	and	and	CCONJ
fuelectenerg-13520	43	22	the	the	DET
fuelectenerg-13520	43	23	ripple	ripple	ADJ
fuelectenerg-13520	43	24	bandwidth	bandwidth	NOUN
fuelectenerg-13520	43	25	ωr	ωr	X
fuelectenerg-13520	43	26	=	=	ADJ
fuelectenerg-13520	43	27	1	1	X
fuelectenerg-13520	43	28	.	.	PUNCT
fuelectenerg-13520	43	29	to	to	PART
fuelectenerg-13520	43	30	determine	determine	VERB
fuelectenerg-13520	43	31	the	the	DET
fuelectenerg-13520	43	32	pole	pole	NOUN
fuelectenerg-13520	43	33	pair	pair	NOUN
fuelectenerg-13520	43	34	±ω0	±ω0	PROPN
fuelectenerg-13520	43	35	of	of	ADP
fuelectenerg-13520	43	36	the	the	DET
fuelectenerg-13520	43	37	characteristic	characteristic	ADJ
fuelectenerg-13520	43	38	function	function	NOUN
fuelectenerg-13520	43	39	,	,	PUNCT
fuelectenerg-13520	43	40	which	which	PRON
fuelectenerg-13520	43	41	also	also	ADV
fuelectenerg-13520	43	42	serves	serve	VERB
fuelectenerg-13520	43	43	as	as	ADP
fuelectenerg-13520	43	44	a	a	DET
fuelectenerg-13520	43	45	transmission	transmission	NOUN
fuelectenerg-13520	43	46	zero	zero	NUM
fuelectenerg-13520	43	47	pair	pair	NOUN
fuelectenerg-13520	43	48	,	,	PUNCT
fuelectenerg-13520	43	49	two	two	NUM
fuelectenerg-13520	43	50	nonlinear	nonlinear	ADJ
fuelectenerg-13520	43	51	equations	equation	NOUN
fuelectenerg-13520	43	52	must	must	AUX
fuelectenerg-13520	43	53	be	be	AUX
fuelectenerg-13520	43	54	solved	solve	VERB
fuelectenerg-13520	43	55	while	while	SCONJ
fuelectenerg-13520	43	56	ensuring	ensure	VERB
fuelectenerg-13520	43	57	the	the	DET
fuelectenerg-13520	43	58	minimum	minimum	ADJ
fuelectenerg-13520	43	59	stopband	stopband	NOUN
fuelectenerg-13520	43	60	attenuation	attenuation	NOUN
fuelectenerg-13520	43	61	is	be	AUX
fuelectenerg-13520	43	62	satisfied	satisfied	ADJ
fuelectenerg-13520	43	63	.	.	PUNCT
fuelectenerg-13520	44	1	as	as	ADP
fuelectenerg-13520	44	2	a	a	DET
fuelectenerg-13520	44	3	result	result	NOUN
fuelectenerg-13520	44	4	,	,	PUNCT
fuelectenerg-13520	44	5	the	the	DET
fuelectenerg-13520	44	6	passband	passband	NOUN
fuelectenerg-13520	44	7	ripples	ripple	NOUN
fuelectenerg-13520	44	8	are	be	AUX
fuelectenerg-13520	44	9	no	no	ADV
fuelectenerg-13520	44	10	longer	long	ADV
fuelectenerg-13520	44	11	equal	equal	ADJ
fuelectenerg-13520	44	12	but	but	CCONJ
fuelectenerg-13520	44	13	increase	increase	VERB
fuelectenerg-13520	44	14	toward	toward	ADP
fuelectenerg-13520	44	15	the	the	DET
fuelectenerg-13520	44	16	passband	passband	NOUN
fuelectenerg-13520	44	17	edge	edge	NOUN
fuelectenerg-13520	44	18	.	.	PUNCT
fuelectenerg-13520	45	1	this	this	DET
fuelectenerg-13520	45	2	approach	approach	NOUN
fuelectenerg-13520	45	3	to	to	ADP
fuelectenerg-13520	45	4	improving	improve	VERB
fuelectenerg-13520	45	5	stopband	stopband	NOUN
fuelectenerg-13520	45	6	performance	performance	NOUN
fuelectenerg-13520	45	7	comes	come	VERB
fuelectenerg-13520	45	8	at	at	ADP
fuelectenerg-13520	45	9	the	the	DET
fuelectenerg-13520	45	10	cost	cost	NOUN
fuelectenerg-13520	45	11	of	of	ADP
fuelectenerg-13520	45	12	distorting	distort	VERB
fuelectenerg-13520	45	13	the	the	DET
fuelectenerg-13520	45	14	extremal	extremal	ADJ
fuelectenerg-13520	45	15	properties	property	NOUN
fuelectenerg-13520	45	16	of	of	ADP
fuelectenerg-13520	45	17	the	the	DET
fuelectenerg-13520	45	18	chebyshev	chebyshev	NOUN
fuelectenerg-13520	45	19	polynomial	polynomial	NOUN
fuelectenerg-13520	45	20	.	.	PUNCT
fuelectenerg-13520	46	1	the	the	DET
fuelectenerg-13520	46	2	second	second	ADJ
fuelectenerg-13520	46	3	approach	approach	NOUN
fuelectenerg-13520	46	4	involves	involve	VERB
fuelectenerg-13520	46	5	the	the	DET
fuelectenerg-13520	46	6	approximation	approximation	NOUN
fuelectenerg-13520	46	7	of	of	ADP
fuelectenerg-13520	46	8	generalized	generalized	ADJ
fuelectenerg-13520	46	9	c	c	NOUN
fuelectenerg-13520	46	10	filters	filter	NOUN
fuelectenerg-13520	47	1	[	[	X
fuelectenerg-13520	47	2	9–13	9–13	NOUN
fuelectenerg-13520	47	3	]	]	PUNCT
fuelectenerg-13520	47	4	,	,	PUNCT
fuelectenerg-13520	47	5	which	which	PRON
fuelectenerg-13520	47	6	exhibit	exhibit	VERB
fuelectenerg-13520	47	7	equiripple	equiripple	NOUN
fuelectenerg-13520	47	8	characteristics	characteristic	NOUN
fuelectenerg-13520	47	9	in	in	ADP
fuelectenerg-13520	47	10	both	both	CCONJ
fuelectenerg-13520	47	11	the	the	DET
fuelectenerg-13520	47	12	passband	passband	NOUN
fuelectenerg-13520	47	13	and	and	CCONJ
fuelectenerg-13520	47	14	stopband	stopband	NOUN
fuelectenerg-13520	47	15	.	.	PUNCT
fuelectenerg-13520	48	1	in	in	ADP
fuelectenerg-13520	48	2	this	this	DET
fuelectenerg-13520	48	3	case	case	NOUN
fuelectenerg-13520	48	4	,	,	PUNCT
fuelectenerg-13520	48	5	the	the	DET
fuelectenerg-13520	48	6	filtering	filter	VERB
fuelectenerg-13520	48	7	function	function	NOUN
fuelectenerg-13520	48	8	of	of	ADP
fuelectenerg-13520	48	9	degree	degree	NOUN
fuelectenerg-13520	48	10	n	n	NOUN
fuelectenerg-13520	48	11	takes	take	VERB
fuelectenerg-13520	48	12	the	the	DET
fuelectenerg-13520	48	13	form	form	NOUN
fuelectenerg-13520	48	14	of	of	ADP
fuelectenerg-13520	48	15	a	a	DET
fuelectenerg-13520	48	16	generalized	generalize	VERB
fuelectenerg-13520	48	17	c	c	NOUN
fuelectenerg-13520	48	18	filtering	filtering	NOUN
fuelectenerg-13520	48	19	function	function	NOUN
fuelectenerg-13520	48	20	:	:	PUNCT
fuelectenerg-13520	48	21	cn(ω	cn(ω	X
fuelectenerg-13520	48	22	)	)	PUNCT
fuelectenerg-13520	48	23	=	=	SYM
fuelectenerg-13520	48	24	cosh	cosh	NOUN
fuelectenerg-13520	48	25	{	{	PUNCT
fuelectenerg-13520	48	26	∑n	∑n	PROPN
fuelectenerg-13520	48	27	i=1	i=1	PROPN
fuelectenerg-13520	48	28	acosh	acosh	NOUN
fuelectenerg-13520	49	1	[	[	X
fuelectenerg-13520	49	2	(	(	PUNCT
fuelectenerg-13520	49	3	ω	ω	X
fuelectenerg-13520	49	4	ωi	ωi	PROPN
fuelectenerg-13520	49	5	−	−	PROPN
fuelectenerg-13520	49	6	1)/(ωi	1)/(ωi	PROPN
fuelectenerg-13520	49	7	−	−	PROPN
fuelectenerg-13520	49	8	ω	ω	PROPN
fuelectenerg-13520	49	9	)	)	PUNCT
fuelectenerg-13520	49	10	]	]	PUNCT
fuelectenerg-13520	49	11	}	}	PUNCT
fuelectenerg-13520	49	12	,	,	PUNCT
fuelectenerg-13520	49	13	where	where	SCONJ
fuelectenerg-13520	49	14	ωi	ωi	PROPN
fuelectenerg-13520	49	15	represents	represent	VERB
fuelectenerg-13520	49	16	the	the	DET
fuelectenerg-13520	49	17	position	position	NOUN
fuelectenerg-13520	49	18	of	of	ADP
fuelectenerg-13520	49	19	the	the	DET
fuelectenerg-13520	49	20	ith	ith	PROPN
fuelectenerg-13520	49	21	transmission	transmission	NOUN
fuelectenerg-13520	49	22	zero	zero	NUM
fuelectenerg-13520	50	1	[	[	X
fuelectenerg-13520	50	2	14	14	NUM
fuelectenerg-13520	50	3	]	]	PUNCT
fuelectenerg-13520	50	4	.	.	PUNCT
fuelectenerg-13520	51	1	some	some	DET
fuelectenerg-13520	51	2	transmission	transmission	NOUN
fuelectenerg-13520	51	3	zeros	zero	NOUN
fuelectenerg-13520	51	4	may	may	AUX
fuelectenerg-13520	51	5	coincide	coincide	VERB
fuelectenerg-13520	51	6	at	at	ADP
fuelectenerg-13520	51	7	the	the	DET
fuelectenerg-13520	51	8	same	same	ADJ
fuelectenerg-13520	51	9	location	location	NOUN
fuelectenerg-13520	51	10	(	(	PUNCT
fuelectenerg-13520	51	11	ωi	ωi	NOUN
fuelectenerg-13520	51	12	=	=	PUNCT
fuelectenerg-13520	51	13	ω0	ω0	PROPN
fuelectenerg-13520	51	14	)	)	PUNCT
fuelectenerg-13520	51	15	,	,	PUNCT
fuelectenerg-13520	51	16	while	while	SCONJ
fuelectenerg-13520	51	17	others	other	NOUN
fuelectenerg-13520	51	18	may	may	AUX
fuelectenerg-13520	51	19	be	be	AUX
fuelectenerg-13520	51	20	at	at	ADP
fuelectenerg-13520	51	21	infinity	infinity	NOUN
fuelectenerg-13520	51	22	.	.	PUNCT
fuelectenerg-13520	52	1	an	an	DET
fuelectenerg-13520	52	2	optimization	optimization	NOUN
fuelectenerg-13520	52	3	process	process	NOUN
fuelectenerg-13520	52	4	is	be	AUX
fuelectenerg-13520	52	5	required	require	VERB
fuelectenerg-13520	52	6	to	to	PART
fuelectenerg-13520	52	7	determine	determine	VERB
fuelectenerg-13520	52	8	the	the	DET
fuelectenerg-13520	52	9	number	number	NOUN
fuelectenerg-13520	52	10	and	and	CCONJ
fuelectenerg-13520	52	11	positions	position	NOUN
fuelectenerg-13520	52	12	of	of	ADP
fuelectenerg-13520	52	13	the	the	DET
fuelectenerg-13520	52	14	transmission	transmission	NOUN
fuelectenerg-13520	52	15	zeros	zero	NOUN
fuelectenerg-13520	52	16	.	.	PUNCT
fuelectenerg-13520	53	1	then	then	ADV
fuelectenerg-13520	53	2	,	,	PUNCT
fuelectenerg-13520	53	3	a	a	DET
fuelectenerg-13520	53	4	recursive	recursive	ADJ
fuelectenerg-13520	53	5	technique	technique	NOUN
fuelectenerg-13520	53	6	is	be	AUX
fuelectenerg-13520	53	7	employed	employ	VERB
fuelectenerg-13520	53	8	to	to	PART
fuelectenerg-13520	53	9	generate	generate	VERB
fuelectenerg-13520	53	10	the	the	DET
fuelectenerg-13520	53	11	generalized	generalize	VERB
fuelectenerg-13520	53	12	c	c	NOUN
fuelectenerg-13520	53	13	transfer	transfer	NOUN
fuelectenerg-13520	53	14	and	and	CCONJ
fuelectenerg-13520	53	15	reflection	reflection	NOUN
fuelectenerg-13520	53	16	rational	rational	ADJ
fuelectenerg-13520	53	17	polynomials	polynomial	NOUN
fuelectenerg-13520	53	18	given	give	VERB
fuelectenerg-13520	53	19	to	to	ADP
fuelectenerg-13520	53	20	the	the	DET
fuelectenerg-13520	53	21	determined	determined	ADJ
fuelectenerg-13520	53	22	driving	driving	NOUN
fuelectenerg-13520	53	23	point	point	NOUN
fuelectenerg-13520	53	24	impedance	impedance	NOUN
fuelectenerg-13520	53	25	of	of	ADP
fuelectenerg-13520	53	26	a	a	DET
fuelectenerg-13520	53	27	doubly	doubly	ADV
fuelectenerg-13520	53	28	terminated	terminate	VERB
fuelectenerg-13520	53	29	lc	lc	NOUN
fuelectenerg-13520	53	30	ladder	ladder	NOUN
fuelectenerg-13520	53	31	network	network	NOUN
fuelectenerg-13520	53	32	.	.	PUNCT
fuelectenerg-13520	54	1	ultimately	ultimately	ADV
fuelectenerg-13520	54	2	,	,	PUNCT
fuelectenerg-13520	54	3	this	this	DET
fuelectenerg-13520	54	4	approach	approach	NOUN
fuelectenerg-13520	54	5	results	result	VERB
fuelectenerg-13520	54	6	in	in	ADP
fuelectenerg-13520	54	7	a	a	DET
fuelectenerg-13520	54	8	lossless	lossless	NOUN
fuelectenerg-13520	54	9	coupling	coupling	NOUN
fuelectenerg-13520	54	10	matrix	matrix	NOUN
fuelectenerg-13520	54	11	resonator	resonator	NOUN
fuelectenerg-13520	54	12	network	network	NOUN
fuelectenerg-13520	54	13	that	that	PRON
fuelectenerg-13520	54	14	functions	function	NOUN
fuelectenerg-13520	54	15	as	as	ADP
fuelectenerg-13520	54	16	a	a	DET
fuelectenerg-13520	54	17	microwave	microwave	NOUN
fuelectenerg-13520	54	18	bandpass	bandpass	NOUN
fuelectenerg-13520	54	19	filter	filter	NOUN
fuelectenerg-13520	54	20	[	[	X
fuelectenerg-13520	54	21	14	14	NUM
fuelectenerg-13520	54	22	]	]	PUNCT
fuelectenerg-13520	54	23	.	.	PUNCT
fuelectenerg-13520	55	1	it	it	PRON
fuelectenerg-13520	55	2	can	can	AUX
fuelectenerg-13520	55	3	be	be	AUX
fuelectenerg-13520	55	4	concluded	conclude	VERB
fuelectenerg-13520	55	5	that	that	SCONJ
fuelectenerg-13520	55	6	generalized	generalized	ADJ
fuelectenerg-13520	55	7	chebyshev	chebyshev	NOUN
fuelectenerg-13520	55	8	filters	filter	NOUN
fuelectenerg-13520	55	9	preserve	preserve	VERB
fuelectenerg-13520	55	10	the	the	DET
fuelectenerg-13520	55	11	extremal	extremal	ADJ
fuelectenerg-13520	55	12	properties	property	NOUN
fuelectenerg-13520	55	13	of	of	ADP
fuelectenerg-13520	55	14	c	c	NOUN
fuelectenerg-13520	55	15	polynomials	polynomial	NOUN
fuelectenerg-13520	55	16	and	and	CCONJ
fuelectenerg-13520	55	17	are	be	AUX
fuelectenerg-13520	55	18	primarily	primarily	ADV
fuelectenerg-13520	55	19	designed	design	VERB
fuelectenerg-13520	55	20	for	for	ADP
fuelectenerg-13520	55	21	microwave	microwave	NOUN
fuelectenerg-13520	55	22	filter	filter	NOUN
fuelectenerg-13520	55	23	applications	application	NOUN
fuelectenerg-13520	55	24	,	,	PUNCT
fuelectenerg-13520	55	25	particularly	particularly	ADV
fuelectenerg-13520	55	26	in	in	ADP
fuelectenerg-13520	55	27	coupling	couple	VERB
fuelectenerg-13520	55	28	matrix	matrix	NOUN
fuelectenerg-13520	55	29	resonator	resonator	NOUN
fuelectenerg-13520	55	30	networks	network	NOUN
fuelectenerg-13520	55	31	.	.	PUNCT
fuelectenerg-13520	56	1	consequently	consequently	ADV
fuelectenerg-13520	56	2	,	,	PUNCT
fuelectenerg-13520	56	3	this	this	DET
fuelectenerg-13520	56	4	approximation	approximation	NOUN
fuelectenerg-13520	56	5	is	be	AUX
fuelectenerg-13520	56	6	unsuitable	unsuitable	ADJ
fuelectenerg-13520	56	7	for	for	ADP
fuelectenerg-13520	56	8	improving	improve	VERB
fuelectenerg-13520	56	9	the	the	DET
fuelectenerg-13520	56	10	out	out	ADJ
fuelectenerg-13520	56	11	-	-	PUNCT
fuelectenerg-13520	56	12	of	of	ADP
fuelectenerg-13520	56	13	-	-	PUNCT
fuelectenerg-13520	56	14	band	band	NOUN
fuelectenerg-13520	56	15	attenuation	attenuation	NOUN
fuelectenerg-13520	56	16	of	of	ADP
fuelectenerg-13520	56	17	optimum	optimum	ADJ
fuelectenerg-13520	56	18	c	c	NOUN
fuelectenerg-13520	56	19	filters	filter	NOUN
fuelectenerg-13520	56	20	,	,	PUNCT
fuelectenerg-13520	56	21	as	as	SCONJ
fuelectenerg-13520	56	22	their	their	PRON
fuelectenerg-13520	56	23	application	application	NOUN
fuelectenerg-13520	56	24	is	be	AUX
fuelectenerg-13520	56	25	not	not	PART
fuelectenerg-13520	56	26	limited	limit	VERB
fuelectenerg-13520	56	27	to	to	ADP
fuelectenerg-13520	56	28	microwave	microwave	NOUN
fuelectenerg-13520	56	29	filters	filter	NOUN
fuelectenerg-13520	56	30	but	but	CCONJ
fuelectenerg-13520	56	31	extends	extend	VERB
fuelectenerg-13520	56	32	to	to	ADP
fuelectenerg-13520	56	33	all	all	DET
fuelectenerg-13520	56	34	types	type	NOUN
fuelectenerg-13520	56	35	of	of	ADP
fuelectenerg-13520	56	36	filters	filter	NOUN
fuelectenerg-13520	56	37	where	where	SCONJ
fuelectenerg-13520	56	38	the	the	DET
fuelectenerg-13520	56	39	magnitude	magnitude	NOUN
fuelectenerg-13520	56	40	1the	1the	PROPN
fuelectenerg-13520	56	41	characteristic	characteristic	ADJ
fuelectenerg-13520	56	42	function	function	NOUN
fuelectenerg-13520	56	43	of	of	ADP
fuelectenerg-13520	56	44	the	the	DET
fuelectenerg-13520	56	45	chebyshev	chebyshev	NOUN
fuelectenerg-13520	56	46	filter	filter	NOUN
fuelectenerg-13520	56	47	is	be	AUX
fuelectenerg-13520	56	48	ψn(ω2	ψn(ω2	NOUN
fuelectenerg-13520	56	49	)	)	PUNCT
fuelectenerg-13520	57	1	=	=	NOUN
fuelectenerg-13520	57	2	pr	pr	NOUN
fuelectenerg-13520	57	3	pl	pl	NOUN
fuelectenerg-13520	57	4	=	=	SYM
fuelectenerg-13520	57	5	ε3c2	ε3c2	PROPN
fuelectenerg-13520	57	6	n(ω	n(ω	PROPN
fuelectenerg-13520	57	7	)	)	PUNCT
fuelectenerg-13520	57	8	,	,	PUNCT
fuelectenerg-13520	57	9	where	where	SCONJ
fuelectenerg-13520	57	10	pr	pr	NOUN
fuelectenerg-13520	57	11	is	be	AUX
fuelectenerg-13520	57	12	reflected	reflect	VERB
fuelectenerg-13520	57	13	power	power	NOUN
fuelectenerg-13520	57	14	and	and	CCONJ
fuelectenerg-13520	57	15	pl	pl	PROPN
fuelectenerg-13520	57	16	is	be	AUX
fuelectenerg-13520	57	17	transmitted	transmit	VERB
fuelectenerg-13520	57	18	power	power	NOUN
fuelectenerg-13520	57	19	.	.	PUNCT
fuelectenerg-13520	58	1	optimum	optimum	ADJ
fuelectenerg-13520	58	2	chebyshev	chebyshev	PROPN
fuelectenerg-13520	58	3	lowpass	lowpass	NOUN
fuelectenerg-13520	58	4	filter	filter	NOUN
fuelectenerg-13520	58	5	with	with	ADP
fuelectenerg-13520	58	6	a	a	DET
fuelectenerg-13520	58	7	pair	pair	NOUN
fuelectenerg-13520	58	8	of	of	ADP
fuelectenerg-13520	58	9	imaginary	imaginary	ADJ
fuelectenerg-13520	58	10	-	-	PUNCT
fuelectenerg-13520	58	11	axis	axis	NOUN
fuelectenerg-13520	58	12	zeros	zero	NOUN
fuelectenerg-13520	58	13	101	101	NUM
fuelectenerg-13520	58	14	response	response	NOUN
fuelectenerg-13520	58	15	is	be	AUX
fuelectenerg-13520	58	16	of	of	ADP
fuelectenerg-13520	58	17	primary	primary	ADJ
fuelectenerg-13520	58	18	importance	importance	NOUN
fuelectenerg-13520	58	19	.	.	PUNCT
fuelectenerg-13520	59	1	the	the	DET
fuelectenerg-13520	59	2	primary	primary	ADJ
fuelectenerg-13520	59	3	objective	objective	NOUN
fuelectenerg-13520	59	4	of	of	ADP
fuelectenerg-13520	59	5	this	this	DET
fuelectenerg-13520	59	6	paper	paper	NOUN
fuelectenerg-13520	59	7	is	be	AUX
fuelectenerg-13520	59	8	to	to	PART
fuelectenerg-13520	59	9	enhance	enhance	VERB
fuelectenerg-13520	59	10	the	the	DET
fuelectenerg-13520	59	11	out	out	ADJ
fuelectenerg-13520	59	12	-	-	PUNCT
fuelectenerg-13520	59	13	of	of	ADP
fuelectenerg-13520	59	14	-	-	PUNCT
fuelectenerg-13520	59	15	band	band	NOUN
fuelectenerg-13520	59	16	rejection	rejection	NOUN
fuelectenerg-13520	59	17	of	of	ADP
fuelectenerg-13520	59	18	an	an	DET
fuelectenerg-13520	59	19	optimum	optimum	ADJ
fuelectenerg-13520	59	20	c	c	NOUN
fuelectenerg-13520	59	21	all	all	PRON
fuelectenerg-13520	59	22	-	-	PUNCT
fuelectenerg-13520	59	23	pole	pole	NOUN
fuelectenerg-13520	59	24	filter	filter	NOUN
fuelectenerg-13520	59	25	by	by	ADP
fuelectenerg-13520	59	26	introducing	introduce	VERB
fuelectenerg-13520	59	27	a	a	DET
fuelectenerg-13520	59	28	pair	pair	NOUN
fuelectenerg-13520	59	29	of	of	ADP
fuelectenerg-13520	59	30	transmission	transmission	NOUN
fuelectenerg-13520	59	31	zeros	zero	NOUN
fuelectenerg-13520	59	32	(	(	PUNCT
fuelectenerg-13520	59	33	single	single	ADJ
fuelectenerg-13520	59	34	or	or	CCONJ
fuelectenerg-13520	59	35	multiple	multiple	ADJ
fuelectenerg-13520	59	36	)	)	PUNCT
fuelectenerg-13520	59	37	in	in	ADP
fuelectenerg-13520	59	38	its	its	PRON
fuelectenerg-13520	59	39	transcendental	transcendental	ADJ
fuelectenerg-13520	59	40	form	form	NOUN
fuelectenerg-13520	59	41	.	.	PUNCT
fuelectenerg-13520	60	1	the	the	DET
fuelectenerg-13520	60	2	attenuation	attenuation	NOUN
fuelectenerg-13520	60	3	level	level	NOUN
fuelectenerg-13520	60	4	of	of	ADP
fuelectenerg-13520	60	5	the	the	DET
fuelectenerg-13520	60	6	out	out	NOUN
fuelectenerg-13520	60	7	-	-	PUNCT
fuelectenerg-13520	60	8	of	of	ADP
fuelectenerg-13520	60	9	-	-	PUNCT
fuelectenerg-13520	60	10	band	band	NOUN
fuelectenerg-13520	60	11	lobe	lobe	NOUN
fuelectenerg-13520	60	12	is	be	AUX
fuelectenerg-13520	60	13	determined	determine	VERB
fuelectenerg-13520	60	14	by	by	ADP
fuelectenerg-13520	60	15	the	the	DET
fuelectenerg-13520	60	16	position	position	NOUN
fuelectenerg-13520	60	17	of	of	ADP
fuelectenerg-13520	60	18	the	the	DET
fuelectenerg-13520	60	19	transmission	transmission	NOUN
fuelectenerg-13520	60	20	zero	zero	NUM
fuelectenerg-13520	60	21	,	,	PUNCT
fuelectenerg-13520	60	22	which	which	PRON
fuelectenerg-13520	60	23	is	be	AUX
fuelectenerg-13520	60	24	computed	compute	VERB
fuelectenerg-13520	60	25	using	use	VERB
fuelectenerg-13520	60	26	the	the	DET
fuelectenerg-13520	60	27	newton	newton	PROPN
fuelectenerg-13520	60	28	-	-	PUNCT
fuelectenerg-13520	60	29	raphson	raphson	PROPN
fuelectenerg-13520	60	30	method	method	NOUN
fuelectenerg-13520	60	31	to	to	PART
fuelectenerg-13520	60	32	solve	solve	VERB
fuelectenerg-13520	60	33	a	a	DET
fuelectenerg-13520	60	34	system	system	NOUN
fuelectenerg-13520	60	35	of	of	ADP
fuelectenerg-13520	60	36	nonlinear	nonlinear	ADJ
fuelectenerg-13520	60	37	equations	equation	NOUN
fuelectenerg-13520	60	38	.	.	PUNCT
fuelectenerg-13520	61	1	this	this	DET
fuelectenerg-13520	61	2	approach	approach	NOUN
fuelectenerg-13520	61	3	ensures	ensure	VERB
fuelectenerg-13520	61	4	that	that	SCONJ
fuelectenerg-13520	61	5	the	the	DET
fuelectenerg-13520	61	6	extremal	extremal	ADJ
fuelectenerg-13520	61	7	properties	property	NOUN
fuelectenerg-13520	61	8	of	of	ADP
fuelectenerg-13520	61	9	the	the	DET
fuelectenerg-13520	61	10	chebyshev	chebyshev	NOUN
fuelectenerg-13520	61	11	filtering	filtering	NOUN
fuelectenerg-13520	61	12	function	function	NOUN
fuelectenerg-13520	61	13	are	be	AUX
fuelectenerg-13520	61	14	preserved	preserve	VERB
fuelectenerg-13520	61	15	.	.	PUNCT
fuelectenerg-13520	62	1	explicit	explicit	ADJ
fuelectenerg-13520	62	2	rational	rational	ADJ
fuelectenerg-13520	62	3	polynomial	polynomial	ADJ
fuelectenerg-13520	62	4	expressions	expression	NOUN
fuelectenerg-13520	62	5	are	be	AUX
fuelectenerg-13520	62	6	derived	derive	VERB
fuelectenerg-13520	62	7	for	for	ADP
fuelectenerg-13520	62	8	the	the	DET
fuelectenerg-13520	62	9	transcendental	transcendental	ADJ
fuelectenerg-13520	62	10	c	c	NOUN
fuelectenerg-13520	62	11	function	function	NOUN
fuelectenerg-13520	62	12	of	of	ADP
fuelectenerg-13520	62	13	arbitrary	arbitrary	ADJ
fuelectenerg-13520	62	14	degree	degree	NOUN
fuelectenerg-13520	62	15	,	,	PUNCT
fuelectenerg-13520	62	16	incorporating	incorporate	VERB
fuelectenerg-13520	62	17	a	a	DET
fuelectenerg-13520	62	18	pair	pair	NOUN
fuelectenerg-13520	62	19	of	of	ADP
fuelectenerg-13520	62	20	transmission	transmission	NOUN
fuelectenerg-13520	62	21	zeros	zero	NOUN
fuelectenerg-13520	62	22	with	with	ADP
fuelectenerg-13520	62	23	arbitrary	arbitrary	ADJ
fuelectenerg-13520	62	24	multiplicity	multiplicity	NOUN
fuelectenerg-13520	62	25	.	.	PUNCT
fuelectenerg-13520	63	1	the	the	DET
fuelectenerg-13520	63	2	proposed	propose	VERB
fuelectenerg-13520	63	3	mathematical	mathematical	ADJ
fuelectenerg-13520	63	4	framework	framework	NOUN
fuelectenerg-13520	63	5	is	be	AUX
fuelectenerg-13520	63	6	presented	present	VERB
fuelectenerg-13520	63	7	in	in	ADP
fuelectenerg-13520	63	8	detail	detail	NOUN
fuelectenerg-13520	63	9	.	.	PUNCT
fuelectenerg-13520	64	1	a	a	DET
fuelectenerg-13520	64	2	multiple	multiple	ADJ
fuelectenerg-13520	64	3	transmission	transmission	NOUN
fuelectenerg-13520	64	4	zero	zero	NUM
fuelectenerg-13520	64	5	pair	pair	NOUN
fuelectenerg-13520	64	6	is	be	AUX
fuelectenerg-13520	64	7	used	use	VERB
fuelectenerg-13520	64	8	because	because	SCONJ
fuelectenerg-13520	64	9	it	it	PRON
fuelectenerg-13520	64	10	allows	allow	VERB
fuelectenerg-13520	64	11	the	the	DET
fuelectenerg-13520	64	12	odd	odd	ADJ
fuelectenerg-13520	64	13	-	-	PUNCT
fuelectenerg-13520	64	14	degree	degree	NOUN
fuelectenerg-13520	64	15	lc	lc	NOUN
fuelectenerg-13520	64	16	ladder	ladder	NOUN
fuelectenerg-13520	64	17	network	network	NOUN
fuelectenerg-13520	64	18	to	to	PART
fuelectenerg-13520	64	19	be	be	AUX
fuelectenerg-13520	64	20	both	both	PRON
fuelectenerg-13520	64	21	symmetrical	symmetrical	ADJ
fuelectenerg-13520	64	22	and	and	CCONJ
fuelectenerg-13520	64	23	reciprocal	reciprocal	ADJ
fuelectenerg-13520	64	24	.	.	PUNCT
fuelectenerg-13520	65	1	the	the	DET
fuelectenerg-13520	65	2	validity	validity	NOUN
fuelectenerg-13520	65	3	and	and	CCONJ
fuelectenerg-13520	65	4	efficiency	efficiency	NOUN
fuelectenerg-13520	65	5	of	of	ADP
fuelectenerg-13520	65	6	the	the	DET
fuelectenerg-13520	65	7	proposed	propose	VERB
fuelectenerg-13520	65	8	method	method	NOUN
fuelectenerg-13520	65	9	are	be	AUX
fuelectenerg-13520	65	10	demonstrated	demonstrate	VERB
fuelectenerg-13520	65	11	by	by	ADP
fuelectenerg-13520	65	12	approximating	approximate	VERB
fuelectenerg-13520	65	13	a	a	DET
fuelectenerg-13520	65	14	seventh	seventh	ADJ
fuelectenerg-13520	65	15	-	-	PUNCT
fuelectenerg-13520	65	16	degree	degree	NOUN
fuelectenerg-13520	65	17	rational	rational	ADJ
fuelectenerg-13520	65	18	optimum	optimum	NOUN
fuelectenerg-13520	65	19	c	c	NOUN
fuelectenerg-13520	65	20	filter	filter	NOUN
fuelectenerg-13520	65	21	with	with	ADP
fuelectenerg-13520	65	22	a	a	DET
fuelectenerg-13520	65	23	single	single	ADJ
fuelectenerg-13520	65	24	pair	pair	NOUN
fuelectenerg-13520	65	25	,	,	PUNCT
fuelectenerg-13520	65	26	double	double	ADJ
fuelectenerg-13520	65	27	pair	pair	NOUN
fuelectenerg-13520	65	28	,	,	PUNCT
fuelectenerg-13520	65	29	and	and	CCONJ
fuelectenerg-13520	65	30	triple	triple	ADJ
fuelectenerg-13520	65	31	pair	pair	NOUN
fuelectenerg-13520	65	32	of	of	ADP
fuelectenerg-13520	65	33	real	real	ADJ
fuelectenerg-13520	65	34	transmission	transmission	NOUN
fuelectenerg-13520	65	35	zeros	zero	NOUN
fuelectenerg-13520	65	36	.	.	PUNCT
fuelectenerg-13520	66	1	the	the	DET
fuelectenerg-13520	66	2	properties	property	NOUN
fuelectenerg-13520	66	3	of	of	ADP
fuelectenerg-13520	66	4	these	these	DET
fuelectenerg-13520	66	5	filters	filter	NOUN
fuelectenerg-13520	66	6	are	be	AUX
fuelectenerg-13520	66	7	tabulated	tabulate	VERB
fuelectenerg-13520	66	8	,	,	PUNCT
fuelectenerg-13520	66	9	and	and	CCONJ
fuelectenerg-13520	66	10	a	a	DET
fuelectenerg-13520	66	11	comparative	comparative	ADJ
fuelectenerg-13520	66	12	analysis	analysis	NOUN
fuelectenerg-13520	66	13	is	be	AUX
fuelectenerg-13520	66	14	provided	provide	VERB
fuelectenerg-13520	66	15	for	for	ADP
fuelectenerg-13520	66	16	all	all	DET
fuelectenerg-13520	66	17	optimum	optimum	ADJ
fuelectenerg-13520	66	18	seventh	seventh	ADJ
fuelectenerg-13520	66	19	-	-	PUNCT
fuelectenerg-13520	66	20	degree	degree	NOUN
fuelectenerg-13520	66	21	c	c	NOUN
fuelectenerg-13520	66	22	filters	filter	NOUN
fuelectenerg-13520	66	23	,	,	PUNCT
fuelectenerg-13520	66	24	including	include	VERB
fuelectenerg-13520	66	25	the	the	DET
fuelectenerg-13520	66	26	all	all	DET
fuelectenerg-13520	66	27	-	-	PUNCT
fuelectenerg-13520	66	28	pole	pole	NOUN
fuelectenerg-13520	66	29	filter	filter	NOUN
fuelectenerg-13520	66	30	.	.	PUNCT
fuelectenerg-13520	67	1	2	2	X
fuelectenerg-13520	67	2	.	.	X
fuelectenerg-13520	67	3	rational	rational	ADJ
fuelectenerg-13520	67	4	optimum	optimum	NOUN
fuelectenerg-13520	67	5	c	c	NOUN
fuelectenerg-13520	67	6	filters	filter	NOUN
fuelectenerg-13520	67	7	approximation	approximation	VERB
fuelectenerg-13520	67	8	the	the	DET
fuelectenerg-13520	67	9	squared	square	VERB
fuelectenerg-13520	67	10	magnitude	magnitude	NOUN
fuelectenerg-13520	67	11	of	of	ADP
fuelectenerg-13520	67	12	the	the	DET
fuelectenerg-13520	67	13	transmission	transmission	NOUN
fuelectenerg-13520	67	14	coefficient	coefficient	NOUN
fuelectenerg-13520	67	15	of	of	ADP
fuelectenerg-13520	67	16	the	the	DET
fuelectenerg-13520	67	17	optimum	optimum	ADJ
fuelectenerg-13520	67	18	c	c	NOUN
fuelectenerg-13520	67	19	filter	filter	NOUN
fuelectenerg-13520	67	20	,	,	PUNCT
fuelectenerg-13520	67	21	representing	represent	VERB
fuelectenerg-13520	67	22	the	the	DET
fuelectenerg-13520	67	23	ratio	ratio	NOUN
fuelectenerg-13520	67	24	of	of	ADP
fuelectenerg-13520	67	25	the	the	DET
fuelectenerg-13520	67	26	transmitted	transmit	VERB
fuelectenerg-13520	67	27	power	power	NOUN
fuelectenerg-13520	67	28	,	,	PUNCT
fuelectenerg-13520	67	29	pl	pl	NOUN
fuelectenerg-13520	67	30	,	,	PUNCT
fuelectenerg-13520	67	31	to	to	ADP
fuelectenerg-13520	67	32	the	the	DET
fuelectenerg-13520	67	33	power	power	NOUN
fuelectenerg-13520	67	34	available	available	ADJ
fuelectenerg-13520	67	35	from	from	ADP
fuelectenerg-13520	67	36	the	the	DET
fuelectenerg-13520	67	37	source	source	NOUN
fuelectenerg-13520	67	38	,	,	PUNCT
fuelectenerg-13520	67	39	pa	pa	PROPN
fuelectenerg-13520	67	40	,	,	PUNCT
fuelectenerg-13520	67	41	is	be	AUX
fuelectenerg-13520	67	42	given	give	VERB
fuelectenerg-13520	67	43	by	by	ADP
fuelectenerg-13520	67	44	|s21	|s21	X
fuelectenerg-13520	67	45	(	(	PUNCT
fuelectenerg-13520	67	46	jω)|2	jω)|2	PROPN
fuelectenerg-13520	67	47	=	=	SYM
fuelectenerg-13520	67	48	pl	pl	PROPN
fuelectenerg-13520	67	49	pa	pa	NOUN
fuelectenerg-13520	67	50	=	=	PROPN
fuelectenerg-13520	67	51	1	1	NUM
fuelectenerg-13520	67	52	1	1	NUM
fuelectenerg-13520	67	53	+	+	CCONJ
fuelectenerg-13520	67	54	[	[	PUNCT
fuelectenerg-13520	67	55	εocn	εocn	NOUN
fuelectenerg-13520	67	56	(	(	PUNCT
fuelectenerg-13520	67	57	ω	ω	PROPN
fuelectenerg-13520	67	58	ωr	ωr	NOUN
fuelectenerg-13520	67	59	)	)	PUNCT
fuelectenerg-13520	67	60	]	]	SYM
fuelectenerg-13520	67	61	2	2	NUM
fuelectenerg-13520	67	62	,	,	PUNCT
fuelectenerg-13520	67	63	(	(	PUNCT
fuelectenerg-13520	67	64	1	1	X
fuelectenerg-13520	67	65	)	)	PUNCT
fuelectenerg-13520	67	66	where	where	SCONJ
fuelectenerg-13520	67	67	cn(ω	cn(ω	NOUN
fuelectenerg-13520	67	68	/	/	SYM
fuelectenerg-13520	67	69	ωr	ωr	NOUN
fuelectenerg-13520	67	70	)	)	PUNCT
fuelectenerg-13520	67	71	=	=	SYM
fuelectenerg-13520	67	72	cosh[n	cosh[n	PROPN
fuelectenerg-13520	67	73	acosh(ω	acosh(ω	NOUN
fuelectenerg-13520	67	74	/	/	SYM
fuelectenerg-13520	67	75	ωr	ωr	NOUN
fuelectenerg-13520	67	76	)	)	PUNCT
fuelectenerg-13520	67	77	]	]	PUNCT
fuelectenerg-13520	67	78	represents	represent	VERB
fuelectenerg-13520	67	79	the	the	DET
fuelectenerg-13520	67	80	transcendental	transcendental	ADJ
fuelectenerg-13520	67	81	form	form	NOUN
fuelectenerg-13520	67	82	of	of	ADP
fuelectenerg-13520	67	83	the	the	DET
fuelectenerg-13520	67	84	c	c	NOUN
fuelectenerg-13520	67	85	filtering	filtering	NOUN
fuelectenerg-13520	67	86	function	function	NOUN
fuelectenerg-13520	67	87	.	.	PUNCT
fuelectenerg-13520	68	1	when	when	SCONJ
fuelectenerg-13520	68	2	multiplied	multiply	VERB
fuelectenerg-13520	68	3	by	by	ADP
fuelectenerg-13520	68	4	εo	εo	ADJ
fuelectenerg-13520	68	5	,	,	PUNCT
fuelectenerg-13520	68	6	this	this	DET
fuelectenerg-13520	68	7	function	function	NOUN
fuelectenerg-13520	68	8	becomes	become	VERB
fuelectenerg-13520	68	9	the	the	DET
fuelectenerg-13520	68	10	optimum	optimum	ADJ
fuelectenerg-13520	68	11	all	all	DET
fuelectenerg-13520	68	12	-	-	PUNCT
fuelectenerg-13520	68	13	pole	pole	NOUN
fuelectenerg-13520	68	14	c	c	NOUN
fuelectenerg-13520	68	15	filtering	filtering	NOUN
fuelectenerg-13520	68	16	function	function	NOUN
fuelectenerg-13520	68	17	.	.	PUNCT
fuelectenerg-13520	69	1	here	here	ADV
fuelectenerg-13520	69	2	,	,	PUNCT
fuelectenerg-13520	69	3	εo	εo	ADJ
fuelectenerg-13520	69	4	is	be	AUX
fuelectenerg-13520	69	5	the	the	DET
fuelectenerg-13520	69	6	ripple	ripple	ADJ
fuelectenerg-13520	69	7	factor	factor	NOUN
fuelectenerg-13520	69	8	derived	derive	VERB
fuelectenerg-13520	69	9	for	for	ADP
fuelectenerg-13520	69	10	the	the	DET
fuelectenerg-13520	69	11	optimum	optimum	ADJ
fuelectenerg-13520	69	12	c	c	NOUN
fuelectenerg-13520	69	13	filters	filter	NOUN
fuelectenerg-13520	69	14	[	[	X
fuelectenerg-13520	69	15	1	1	NUM
fuelectenerg-13520	69	16	]	]	PUNCT
fuelectenerg-13520	69	17	,	,	PUNCT
fuelectenerg-13520	69	18	while	while	SCONJ
fuelectenerg-13520	69	19	ωr	ωr	ADV
fuelectenerg-13520	69	20	is	be	AUX
fuelectenerg-13520	69	21	the	the	DET
fuelectenerg-13520	69	22	ripple	ripple	ADJ
fuelectenerg-13520	69	23	bandwidth	bandwidth	NOUN
fuelectenerg-13520	69	24	,	,	PUNCT
fuelectenerg-13520	69	25	which	which	PRON
fuelectenerg-13520	69	26	normalizes	normalize	VERB
fuelectenerg-13520	69	27	the	the	DET
fuelectenerg-13520	69	28	argument	argument	NOUN
fuelectenerg-13520	69	29	of	of	ADP
fuelectenerg-13520	69	30	the	the	DET
fuelectenerg-13520	69	31	characteristic	characteristic	ADJ
fuelectenerg-13520	69	32	function	function	NOUN
fuelectenerg-13520	69	33	to	to	PART
fuelectenerg-13520	69	34	make	make	VERB
fuelectenerg-13520	69	35	it	it	PRON
fuelectenerg-13520	69	36	dimensionless	dimensionless	NOUN
fuelectenerg-13520	69	37	.	.	PUNCT
fuelectenerg-13520	70	1	2.1	2.1	NUM
fuelectenerg-13520	70	2	.	.	PUNCT
fuelectenerg-13520	70	3	filtering	filter	VERB
fuelectenerg-13520	70	4	function	function	NOUN
fuelectenerg-13520	70	5	derivation	derivation	NOUN
fuelectenerg-13520	70	6	the	the	DET
fuelectenerg-13520	70	7	magnitude	magnitude	NOUN
fuelectenerg-13520	70	8	correction	correction	NOUN
fuelectenerg-13520	70	9	of	of	ADP
fuelectenerg-13520	70	10	the	the	DET
fuelectenerg-13520	70	11	transmission	transmission	NOUN
fuelectenerg-13520	70	12	coefficient	coefficient	NOUN
fuelectenerg-13520	70	13	of	of	ADP
fuelectenerg-13520	70	14	the	the	DET
fuelectenerg-13520	70	15	optimum	optimum	ADJ
fuelectenerg-13520	70	16	c	c	NOUN
fuelectenerg-13520	70	17	filter	filter	NOUN
fuelectenerg-13520	70	18	to	to	PART
fuelectenerg-13520	70	19	enhance	enhance	VERB
fuelectenerg-13520	70	20	out	out	ADV
fuelectenerg-13520	70	21	-	-	PUNCT
fuelectenerg-13520	70	22	of	of	ADP
fuelectenerg-13520	70	23	-	-	PUNCT
fuelectenerg-13520	70	24	band	band	NOUN
fuelectenerg-13520	70	25	rejection	rejection	NOUN
fuelectenerg-13520	70	26	begins	begin	VERB
fuelectenerg-13520	70	27	by	by	ADP
fuelectenerg-13520	70	28	introducing	introduce	VERB
fuelectenerg-13520	70	29	a	a	DET
fuelectenerg-13520	70	30	symmetric	symmetric	ADJ
fuelectenerg-13520	70	31	pole	pole	NOUN
fuelectenerg-13520	70	32	pair	pair	NOUN
fuelectenerg-13520	70	33	of	of	ADP
fuelectenerg-13520	70	34	multiplicity	multiplicity	NOUN
fuelectenerg-13520	70	35	m	m	VERB
fuelectenerg-13520	70	36	into	into	ADP
fuelectenerg-13520	70	37	the	the	DET
fuelectenerg-13520	70	38	transcendental	transcendental	ADJ
fuelectenerg-13520	70	39	form	form	NOUN
fuelectenerg-13520	70	40	of	of	ADP
fuelectenerg-13520	70	41	the	the	DET
fuelectenerg-13520	70	42	nth	nth	NOUN
fuelectenerg-13520	70	43	degree	degree	NOUN
fuelectenerg-13520	70	44	c	c	NOUN
fuelectenerg-13520	70	45	filtering	filtering	NOUN
fuelectenerg-13520	70	46	function	function	NOUN
fuelectenerg-13520	70	47	(	(	PUNCT
fuelectenerg-13520	70	48	1	1	NUM
fuelectenerg-13520	70	49	)	)	PUNCT
fuelectenerg-13520	70	50	,	,	PUNCT
fuelectenerg-13520	70	51	as	as	SCONJ
fuelectenerg-13520	70	52	follows	follow	VERB
fuelectenerg-13520	70	53	:	:	PUNCT
fuelectenerg-13520	70	54	cn	cn	INTJ
fuelectenerg-13520	70	55	,	,	PUNCT
fuelectenerg-13520	70	56	m	m	VERB
fuelectenerg-13520	70	57	(	(	PUNCT
fuelectenerg-13520	70	58	ω	ω	PROPN
fuelectenerg-13520	70	59	ωr	ωr	NOUN
fuelectenerg-13520	70	60	)	)	PUNCT
fuelectenerg-13520	70	61	=	=	VERB
fuelectenerg-13520	70	62	cosh	cosh	NOUN
fuelectenerg-13520	70	63	{	{	PUNCT
fuelectenerg-13520	70	64	(	(	PUNCT
fuelectenerg-13520	70	65	n−	n−	NOUN
fuelectenerg-13520	70	66	2	2	NUM
fuelectenerg-13520	70	67	m	m	NOUN
fuelectenerg-13520	70	68	)	)	PUNCT
fuelectenerg-13520	70	69	acosh	acosh	PROPN
fuelectenerg-13520	70	70	(	(	PUNCT
fuelectenerg-13520	70	71	ω	ω	NOUN
fuelectenerg-13520	70	72	ωr	ωr	NOUN
fuelectenerg-13520	70	73	)	)	PUNCT
fuelectenerg-13520	71	1	+	+	VERB
fuelectenerg-13520	71	2	m	m	VERB
fuelectenerg-13520	71	3	acosh	acosh	NOUN
fuelectenerg-13520	71	4	[	[	PUNCT
fuelectenerg-13520	71	5	α	α	X
fuelectenerg-13520	71	6	(	(	PUNCT
fuelectenerg-13520	71	7	ω	ω	PROPN
fuelectenerg-13520	71	8	ωr	ωr	NOUN
fuelectenerg-13520	71	9	)	)	PUNCT
fuelectenerg-13520	71	10	]	]	PUNCT
fuelectenerg-13520	72	1	+	+	NOUN
fuelectenerg-13520	72	2	m	m	VERB
fuelectenerg-13520	72	3	acosh	acosh	ADJ
fuelectenerg-13520	72	4	[	[	PUNCT
fuelectenerg-13520	72	5	ᾱ	ᾱ	NOUN
fuelectenerg-13520	72	6	(	(	PUNCT
fuelectenerg-13520	72	7	ω	ω	PROPN
fuelectenerg-13520	72	8	ωr	ωr	NOUN
fuelectenerg-13520	72	9	)	)	PUNCT
fuelectenerg-13520	72	10	]	]	PUNCT
fuelectenerg-13520	72	11	}	}	PUNCT
fuelectenerg-13520	72	12	(	(	PUNCT
fuelectenerg-13520	72	13	2	2	X
fuelectenerg-13520	72	14	)	)	PUNCT
fuelectenerg-13520	72	15	where	where	SCONJ
fuelectenerg-13520	72	16	α	α	PROPN
fuelectenerg-13520	72	17	(	(	PUNCT
fuelectenerg-13520	72	18	ω	ω	PROPN
fuelectenerg-13520	72	19	ωr	ωr	NOUN
fuelectenerg-13520	72	20	)	)	PUNCT
fuelectenerg-13520	72	21	=	=	SYM
fuelectenerg-13520	72	22	ω	ω	NUM
fuelectenerg-13520	72	23	ωr	ωr	VERB
fuelectenerg-13520	72	24	χ−	χ−	NOUN
fuelectenerg-13520	72	25	1	1	NUM
fuelectenerg-13520	72	26	χ−	χ−	PROPN
fuelectenerg-13520	72	27	ω	ω	NUM
fuelectenerg-13520	72	28	ωr	ωr	NOUN
fuelectenerg-13520	72	29	and	and	CCONJ
fuelectenerg-13520	72	30	ᾱ	ᾱ	NOUN
fuelectenerg-13520	72	31	(	(	PUNCT
fuelectenerg-13520	72	32	ω	ω	PROPN
fuelectenerg-13520	72	33	ωr	ωr	NOUN
fuelectenerg-13520	72	34	)	)	PUNCT
fuelectenerg-13520	72	35	=	=	SYM
fuelectenerg-13520	72	36	ω	ω	NUM
fuelectenerg-13520	72	37	ωr	ωr	NOUN
fuelectenerg-13520	72	38	χ+	χ+	PROPN
fuelectenerg-13520	72	39	1	1	NUM
fuelectenerg-13520	72	40	χ+	χ+	PROPN
fuelectenerg-13520	72	41	ω	ω	NUM
fuelectenerg-13520	72	42	ωr	ωr	PROPN
fuelectenerg-13520	72	43	42	42	NUM
fuelectenerg-13520	72	44	n.	n.	NOUN
fuelectenerg-13520	72	45	stojanović	stojanović	PROPN
fuelectenerg-13520	72	46	,	,	PUNCT
fuelectenerg-13520	72	47	i.	i.	PROPN
fuelectenerg-13520	72	48	krstić	krstić	PROPN
fuelectenerg-13520	72	49	,	,	PUNCT
fuelectenerg-13520	72	50	n.	n.	PROPN
fuelectenerg-13520	72	51	stamenković	stamenković	VERB
fuelectenerg-13520	72	52	optimum	optimum	PROPN
fuelectenerg-13520	72	53	chebyshev	chebyshev	PROPN
fuelectenerg-13520	72	54	lowpass	lowpass	NOUN
fuelectenerg-13520	72	55	filter	filter	NOUN
fuelectenerg-13520	72	56	with	with	ADP
fuelectenerg-13520	72	57	a	a	DET
fuelectenerg-13520	72	58	pair	pair	NOUN
fuelectenerg-13520	72	59	of	of	ADP
fuelectenerg-13520	72	60	imaginary	imaginary	ADJ
fuelectenerg-13520	72	61	-	-	PUNCT
fuelectenerg-13520	72	62	axis	axis	NOUN
fuelectenerg-13520	72	63	zeros	zero	NOUN
fuelectenerg-13520	72	64	43	43	NUM
fuelectenerg-13520	72	65	100	100	NUM
fuelectenerg-13520	72	66	n.	n.	NOUN
fuelectenerg-13520	72	67	stojanović	stojanović	PROPN
fuelectenerg-13520	72	68	,	,	PUNCT
fuelectenerg-13520	72	69	i.	i.	PROPN
fuelectenerg-13520	72	70	krstić	krstić	PROPN
fuelectenerg-13520	72	71	,	,	PUNCT
fuelectenerg-13520	72	72	n.	n.	PROPN
fuelectenerg-13520	72	73	stamenković	stamenković	VERB
fuelectenerg-13520	72	74	the	the	DET
fuelectenerg-13520	72	75	magnitude	magnitude	NOUN
fuelectenerg-13520	72	76	response	response	NOUN
fuelectenerg-13520	72	77	of	of	ADP
fuelectenerg-13520	72	78	the	the	DET
fuelectenerg-13520	72	79	transfer	transfer	NOUN
fuelectenerg-13520	72	80	function	function	NOUN
fuelectenerg-13520	72	81	is	be	AUX
fuelectenerg-13520	72	82	of	of	ADP
fuelectenerg-13520	72	83	primary	primary	ADJ
fuelectenerg-13520	72	84	interest	interest	NOUN
fuelectenerg-13520	72	85	.	.	PUNCT
fuelectenerg-13520	73	1	key	key	ADJ
fuelectenerg-13520	73	2	features	feature	NOUN
fuelectenerg-13520	73	3	of	of	ADP
fuelectenerg-13520	73	4	this	this	DET
fuelectenerg-13520	73	5	approximation	approximation	NOUN
fuelectenerg-13520	73	6	include	include	VERB
fuelectenerg-13520	73	7	minimum	minimum	ADJ
fuelectenerg-13520	73	8	return	return	NOUN
fuelectenerg-13520	73	9	loss	loss	NOUN
fuelectenerg-13520	73	10	within	within	ADP
fuelectenerg-13520	73	11	the	the	DET
fuelectenerg-13520	73	12	half	half	ADJ
fuelectenerg-13520	73	13	-	-	PUNCT
fuelectenerg-13520	73	14	power	power	NOUN
fuelectenerg-13520	73	15	bandwidth	bandwidth	NOUN
fuelectenerg-13520	73	16	and	and	CCONJ
fuelectenerg-13520	73	17	maximum	maximum	ADJ
fuelectenerg-13520	73	18	out	out	ADV
fuelectenerg-13520	73	19	-	-	PUNCT
fuelectenerg-13520	73	20	of	of	ADP
fuelectenerg-13520	73	21	-	-	PUNCT
fuelectenerg-13520	73	22	band	band	NOUN
fuelectenerg-13520	73	23	rejection	rejection	NOUN
fuelectenerg-13520	73	24	.	.	PUNCT
fuelectenerg-13520	74	1	in	in	ADP
fuelectenerg-13520	74	2	other	other	ADJ
fuelectenerg-13520	74	3	words	word	NOUN
fuelectenerg-13520	74	4	,	,	PUNCT
fuelectenerg-13520	74	5	the	the	DET
fuelectenerg-13520	74	6	extremal	extremal	ADJ
fuelectenerg-13520	74	7	properties	property	NOUN
fuelectenerg-13520	74	8	of	of	ADP
fuelectenerg-13520	74	9	the	the	DET
fuelectenerg-13520	74	10	chebyshev	chebyshev	NOUN
fuelectenerg-13520	74	11	approximation	approximation	NOUN
fuelectenerg-13520	74	12	are	be	AUX
fuelectenerg-13520	74	13	preserved	preserve	VERB
fuelectenerg-13520	74	14	.	.	PUNCT
fuelectenerg-13520	75	1	since	since	SCONJ
fuelectenerg-13520	75	2	the	the	DET
fuelectenerg-13520	75	3	characteristic	characteristic	ADJ
fuelectenerg-13520	75	4	function	function	NOUN
fuelectenerg-13520	75	5	of	of	ADP
fuelectenerg-13520	75	6	the	the	DET
fuelectenerg-13520	75	7	lowpass	lowpass	NOUN
fuelectenerg-13520	75	8	filter1	filter1	NOUN
fuelectenerg-13520	75	9	represents	represent	VERB
fuelectenerg-13520	75	10	the	the	DET
fuelectenerg-13520	75	11	ratio	ratio	NOUN
fuelectenerg-13520	75	12	of	of	ADP
fuelectenerg-13520	75	13	reflected	reflected	ADJ
fuelectenerg-13520	75	14	power	power	NOUN
fuelectenerg-13520	75	15	to	to	ADP
fuelectenerg-13520	75	16	transmitted	transmit	VERB
fuelectenerg-13520	75	17	power	power	NOUN
fuelectenerg-13520	75	18	,	,	PUNCT
fuelectenerg-13520	75	19	the	the	DET
fuelectenerg-13520	75	20	ripple	ripple	ADJ
fuelectenerg-13520	75	21	factor	factor	NOUN
fuelectenerg-13520	75	22	minimizes	minimize	VERB
fuelectenerg-13520	75	23	the	the	DET
fuelectenerg-13520	75	24	area	area	NOUN
fuelectenerg-13520	75	25	below	below	ADP
fuelectenerg-13520	75	26	the	the	DET
fuelectenerg-13520	75	27	characteristic	characteristic	ADJ
fuelectenerg-13520	75	28	function	function	NOUN
fuelectenerg-13520	75	29	within	within	ADP
fuelectenerg-13520	75	30	the	the	DET
fuelectenerg-13520	75	31	half	half	ADJ
fuelectenerg-13520	75	32	-	-	PUNCT
fuelectenerg-13520	75	33	power	power	NOUN
fuelectenerg-13520	75	34	passband	passband	NOUN
fuelectenerg-13520	75	35	.	.	PUNCT
fuelectenerg-13520	76	1	the	the	DET
fuelectenerg-13520	76	2	value	value	NOUN
fuelectenerg-13520	76	3	of	of	ADP
fuelectenerg-13520	76	4	the	the	DET
fuelectenerg-13520	76	5	optimum	optimum	ADJ
fuelectenerg-13520	76	6	ripple	ripple	ADJ
fuelectenerg-13520	76	7	factor	factor	NOUN
fuelectenerg-13520	76	8	,	,	PUNCT
fuelectenerg-13520	76	9	εo	εo	NOUN
fuelectenerg-13520	76	10	,	,	PUNCT
fuelectenerg-13520	76	11	is	be	AUX
fuelectenerg-13520	76	12	unique	unique	ADJ
fuelectenerg-13520	76	13	for	for	ADP
fuelectenerg-13520	76	14	a	a	DET
fuelectenerg-13520	76	15	given	give	VERB
fuelectenerg-13520	76	16	filter	filter	NOUN
fuelectenerg-13520	76	17	degree	degree	NOUN
fuelectenerg-13520	76	18	,	,	PUNCT
fuelectenerg-13520	76	19	whether	whether	SCONJ
fuelectenerg-13520	76	20	even	even	ADV
fuelectenerg-13520	76	21	or	or	CCONJ
fuelectenerg-13520	76	22	odd	odd	ADJ
fuelectenerg-13520	76	23	,	,	PUNCT
fuelectenerg-13520	76	24	and	and	CCONJ
fuelectenerg-13520	76	25	the	the	DET
fuelectenerg-13520	76	26	transfer	transfer	NOUN
fuelectenerg-13520	76	27	functions	function	NOUN
fuelectenerg-13520	76	28	of	of	ADP
fuelectenerg-13520	76	29	the	the	DET
fuelectenerg-13520	76	30	optimum	optimum	ADJ
fuelectenerg-13520	76	31	c	c	NOUN
fuelectenerg-13520	76	32	filters	filter	NOUN
fuelectenerg-13520	76	33	can	can	AUX
fuelectenerg-13520	76	34	be	be	AUX
fuelectenerg-13520	76	35	systematically	systematically	ADV
fuelectenerg-13520	76	36	cataloged	catalog	VERB
fuelectenerg-13520	77	1	[	[	X
fuelectenerg-13520	77	2	1	1	NUM
fuelectenerg-13520	77	3	]	]	PUNCT
fuelectenerg-13520	77	4	.	.	PUNCT
fuelectenerg-13520	78	1	no	no	DET
fuelectenerg-13520	78	2	all	all	PRON
fuelectenerg-13520	78	3	-	-	PUNCT
fuelectenerg-13520	78	4	pole	pole	NOUN
fuelectenerg-13520	78	5	transfer	transfer	NOUN
fuelectenerg-13520	78	6	function	function	NOUN
fuelectenerg-13520	78	7	offers	offer	VERB
fuelectenerg-13520	78	8	a	a	DET
fuelectenerg-13520	78	9	lower	low	ADJ
fuelectenerg-13520	78	10	(	(	PUNCT
fuelectenerg-13520	78	11	or	or	CCONJ
fuelectenerg-13520	78	12	equal	equal	ADJ
fuelectenerg-13520	78	13	)	)	PUNCT
fuelectenerg-13520	78	14	return	return	VERB
fuelectenerg-13520	78	15	loss	loss	NOUN
fuelectenerg-13520	78	16	with	with	ADP
fuelectenerg-13520	78	17	a	a	DET
fuelectenerg-13520	78	18	steeper	steep	ADJ
fuelectenerg-13520	78	19	cutoff	cutoff	NOUN
fuelectenerg-13520	78	20	slope	slope	NOUN
fuelectenerg-13520	78	21	.	.	PUNCT
fuelectenerg-13520	79	1	the	the	DET
fuelectenerg-13520	79	2	small	small	ADJ
fuelectenerg-13520	79	3	value	value	NOUN
fuelectenerg-13520	79	4	of	of	ADP
fuelectenerg-13520	79	5	εo	εo	ADJ
fuelectenerg-13520	79	6	leads	lead	NOUN
fuelectenerg-13520	79	7	to	to	PART
fuelectenerg-13520	79	8	reduced	reduce	VERB
fuelectenerg-13520	79	9	out	out	ADP
fuelectenerg-13520	79	10	-	-	PUNCT
fuelectenerg-13520	79	11	of	of	ADP
fuelectenerg-13520	79	12	-	-	PUNCT
fuelectenerg-13520	79	13	band	band	NOUN
fuelectenerg-13520	79	14	attenuation	attenuation	NOUN
fuelectenerg-13520	79	15	.	.	PUNCT
fuelectenerg-13520	80	1	for	for	ADP
fuelectenerg-13520	80	2	example	example	NOUN
fuelectenerg-13520	80	3	,	,	PUNCT
fuelectenerg-13520	80	4	the	the	DET
fuelectenerg-13520	80	5	ripple	ripple	ADJ
fuelectenerg-13520	80	6	factor	factor	NOUN
fuelectenerg-13520	80	7	of	of	ADP
fuelectenerg-13520	80	8	the	the	DET
fuelectenerg-13520	80	9	optimum	optimum	ADJ
fuelectenerg-13520	80	10	7th	7th	ADJ
fuelectenerg-13520	80	11	degree	degree	NOUN
fuelectenerg-13520	80	12	c	c	NOUN
fuelectenerg-13520	80	13	all	all	DET
fuelectenerg-13520	80	14	-	-	PUNCT
fuelectenerg-13520	80	15	pole	pole	NOUN
fuelectenerg-13520	80	16	filter	filter	NOUN
fuelectenerg-13520	80	17	is	be	AUX
fuelectenerg-13520	80	18	only	only	ADV
fuelectenerg-13520	80	19	εo	εo	ADP
fuelectenerg-13520	80	20	=	=	SYM
fuelectenerg-13520	80	21	0.0935	0.0935	NUM
fuelectenerg-13520	80	22	and	and	CCONJ
fuelectenerg-13520	80	23	decreases	decrease	VERB
fuelectenerg-13520	80	24	as	as	ADP
fuelectenerg-13520	80	25	the	the	DET
fuelectenerg-13520	80	26	filter	filter	NOUN
fuelectenerg-13520	80	27	degree	degree	NOUN
fuelectenerg-13520	80	28	increases	increase	NOUN
fuelectenerg-13520	80	29	.	.	PUNCT
fuelectenerg-13520	81	1	therefore	therefore	ADV
fuelectenerg-13520	81	2	,	,	PUNCT
fuelectenerg-13520	81	3	it	it	PRON
fuelectenerg-13520	81	4	is	be	AUX
fuelectenerg-13520	81	5	necessary	necessary	ADJ
fuelectenerg-13520	81	6	to	to	PART
fuelectenerg-13520	81	7	improve	improve	VERB
fuelectenerg-13520	81	8	out	out	ADP
fuelectenerg-13520	81	9	-	-	PUNCT
fuelectenerg-13520	81	10	ofband	ofband	NOUN
fuelectenerg-13520	81	11	attenuation	attenuation	NOUN
fuelectenerg-13520	81	12	while	while	SCONJ
fuelectenerg-13520	81	13	preserving	preserve	VERB
fuelectenerg-13520	81	14	the	the	DET
fuelectenerg-13520	81	15	passband	passband	NOUN
fuelectenerg-13520	81	16	ripple	ripple	NOUN
fuelectenerg-13520	81	17	at	at	ADP
fuelectenerg-13520	81	18	εo	εo	NOUN
fuelectenerg-13520	81	19	.	.	PUNCT
fuelectenerg-13520	82	1	one	one	NUM
fuelectenerg-13520	82	2	or	or	CCONJ
fuelectenerg-13520	82	3	more	more	ADJ
fuelectenerg-13520	82	4	pairs	pair	NOUN
fuelectenerg-13520	82	5	of	of	ADP
fuelectenerg-13520	82	6	poles	pole	NOUN
fuelectenerg-13520	82	7	can	can	AUX
fuelectenerg-13520	82	8	be	be	AUX
fuelectenerg-13520	82	9	added	add	VERB
fuelectenerg-13520	82	10	to	to	ADP
fuelectenerg-13520	82	11	its	its	PRON
fuelectenerg-13520	82	12	characteristic	characteristic	ADJ
fuelectenerg-13520	82	13	function	function	NOUN
fuelectenerg-13520	82	14	to	to	PART
fuelectenerg-13520	82	15	enhance	enhance	VERB
fuelectenerg-13520	82	16	the	the	DET
fuelectenerg-13520	82	17	performance	performance	NOUN
fuelectenerg-13520	82	18	of	of	ADP
fuelectenerg-13520	82	19	the	the	DET
fuelectenerg-13520	82	20	stopband	stopband	NOUN
fuelectenerg-13520	82	21	.	.	PUNCT
fuelectenerg-13520	83	1	these	these	DET
fuelectenerg-13520	83	2	poles	pole	NOUN
fuelectenerg-13520	83	3	may	may	AUX
fuelectenerg-13520	83	4	be	be	AUX
fuelectenerg-13520	83	5	distinct	distinct	ADJ
fuelectenerg-13520	83	6	or	or	CCONJ
fuelectenerg-13520	83	7	coincident	coincident	NOUN
fuelectenerg-13520	83	8	.	.	PUNCT
fuelectenerg-13520	84	1	there	there	PRON
fuelectenerg-13520	84	2	are	be	VERB
fuelectenerg-13520	84	3	two	two	NUM
fuelectenerg-13520	84	4	approaches	approach	NOUN
fuelectenerg-13520	84	5	to	to	ADP
fuelectenerg-13520	84	6	incorporating	incorporate	VERB
fuelectenerg-13520	84	7	poles	pole	NOUN
fuelectenerg-13520	84	8	into	into	ADP
fuelectenerg-13520	84	9	the	the	DET
fuelectenerg-13520	84	10	optimum	optimum	ADJ
fuelectenerg-13520	84	11	c	c	NOUN
fuelectenerg-13520	84	12	characteristic	characteristic	ADJ
fuelectenerg-13520	84	13	function	function	NOUN
fuelectenerg-13520	84	14	,	,	PUNCT
fuelectenerg-13520	84	15	depending	depend	VERB
fuelectenerg-13520	84	16	on	on	ADP
fuelectenerg-13520	84	17	whether	whether	SCONJ
fuelectenerg-13520	84	18	it	it	PRON
fuelectenerg-13520	84	19	is	be	AUX
fuelectenerg-13520	84	20	expressed	express	VERB
fuelectenerg-13520	84	21	in	in	ADP
fuelectenerg-13520	84	22	polynomial	polynomial	ADJ
fuelectenerg-13520	84	23	or	or	CCONJ
fuelectenerg-13520	84	24	transcendental	transcendental	ADJ
fuelectenerg-13520	84	25	form	form	NOUN
fuelectenerg-13520	84	26	.	.	PUNCT
fuelectenerg-13520	85	1	in	in	ADP
fuelectenerg-13520	85	2	the	the	DET
fuelectenerg-13520	85	3	first	first	ADJ
fuelectenerg-13520	85	4	approach	approach	NOUN
fuelectenerg-13520	85	5	[	[	X
fuelectenerg-13520	85	6	5–8	5–8	NOUN
fuelectenerg-13520	85	7	]	]	PUNCT
fuelectenerg-13520	85	8	,	,	PUNCT
fuelectenerg-13520	85	9	a	a	DET
fuelectenerg-13520	85	10	pair	pair	NOUN
fuelectenerg-13520	85	11	of	of	ADP
fuelectenerg-13520	85	12	transmission	transmission	NOUN
fuelectenerg-13520	85	13	zeros	zero	NOUN
fuelectenerg-13520	85	14	of	of	ADP
fuelectenerg-13520	85	15	multiplicity	multiplicity	NOUN
fuelectenerg-13520	85	16	m	m	VERB
fuelectenerg-13520	85	17	at	at	ADP
fuelectenerg-13520	85	18	the	the	DET
fuelectenerg-13520	85	19	real	real	ADJ
fuelectenerg-13520	85	20	frequency	frequency	NOUN
fuelectenerg-13520	85	21	ω	ω	NOUN
fuelectenerg-13520	85	22	=	=	X
fuelectenerg-13520	85	23	±jω0	±jω0	NOUN
fuelectenerg-13520	85	24	is	be	AUX
fuelectenerg-13520	85	25	introduced	introduce	VERB
fuelectenerg-13520	85	26	into	into	ADP
fuelectenerg-13520	85	27	the	the	DET
fuelectenerg-13520	85	28	characteristic	characteristic	ADJ
fuelectenerg-13520	85	29	function	function	NOUN
fuelectenerg-13520	85	30	of	of	ADP
fuelectenerg-13520	85	31	the	the	DET
fuelectenerg-13520	85	32	optimum	optimum	ADJ
fuelectenerg-13520	85	33	c	c	NOUN
fuelectenerg-13520	85	34	filter	filter	NOUN
fuelectenerg-13520	85	35	,	,	PUNCT
fuelectenerg-13520	85	36	modifying	modify	VERB
fuelectenerg-13520	85	37	it	it	PRON
fuelectenerg-13520	85	38	as	as	SCONJ
fuelectenerg-13520	85	39	follows	follow	VERB
fuelectenerg-13520	85	40	:	:	PUNCT
fuelectenerg-13520	85	41	ψn(ω	ψn(ω	NUM
fuelectenerg-13520	85	42	)	)	PUNCT
fuelectenerg-13520	85	43	=	=	SYM
fuelectenerg-13520	86	1	ε2oc	ε2oc	PUNCT
fuelectenerg-13520	86	2	2	2	NUM
fuelectenerg-13520	86	3	n(ω)(ω	n(ω)(ω	NUM
fuelectenerg-13520	86	4	2	2	NUM
fuelectenerg-13520	86	5	0	0	NUM
fuelectenerg-13520	86	6	−	−	PROPN
fuelectenerg-13520	86	7	1)2m/(ω2	1)2m/(ω2	NUM
fuelectenerg-13520	86	8	−	−	PROPN
fuelectenerg-13520	86	9	ω2	ω2	ADJ
fuelectenerg-13520	86	10	0	0	NUM
fuelectenerg-13520	86	11	)	)	PUNCT
fuelectenerg-13520	86	12	2	2	NUM
fuelectenerg-13520	86	13	m.	m.	NOUN
fuelectenerg-13520	86	14	this	this	DET
fuelectenerg-13520	86	15	modification	modification	NOUN
fuelectenerg-13520	86	16	preserves	preserve	VERB
fuelectenerg-13520	86	17	the	the	DET
fuelectenerg-13520	86	18	filter	filter	NOUN
fuelectenerg-13520	86	19	degree	degree	NOUN
fuelectenerg-13520	86	20	n	n	NOUN
fuelectenerg-13520	86	21	and	and	CCONJ
fuelectenerg-13520	86	22	the	the	DET
fuelectenerg-13520	86	23	ripple	ripple	ADJ
fuelectenerg-13520	86	24	bandwidth	bandwidth	NOUN
fuelectenerg-13520	86	25	ωr	ωr	X
fuelectenerg-13520	86	26	=	=	ADJ
fuelectenerg-13520	86	27	1	1	X
fuelectenerg-13520	86	28	.	.	PUNCT
fuelectenerg-13520	86	29	to	to	PART
fuelectenerg-13520	86	30	determine	determine	VERB
fuelectenerg-13520	86	31	the	the	DET
fuelectenerg-13520	86	32	pole	pole	NOUN
fuelectenerg-13520	86	33	pair	pair	NOUN
fuelectenerg-13520	86	34	±ω0	±ω0	PROPN
fuelectenerg-13520	86	35	of	of	ADP
fuelectenerg-13520	86	36	the	the	DET
fuelectenerg-13520	86	37	characteristic	characteristic	ADJ
fuelectenerg-13520	86	38	function	function	NOUN
fuelectenerg-13520	86	39	,	,	PUNCT
fuelectenerg-13520	86	40	which	which	PRON
fuelectenerg-13520	86	41	also	also	ADV
fuelectenerg-13520	86	42	serves	serve	VERB
fuelectenerg-13520	86	43	as	as	ADP
fuelectenerg-13520	86	44	a	a	DET
fuelectenerg-13520	86	45	transmission	transmission	NOUN
fuelectenerg-13520	86	46	zero	zero	NUM
fuelectenerg-13520	86	47	pair	pair	NOUN
fuelectenerg-13520	86	48	,	,	PUNCT
fuelectenerg-13520	86	49	two	two	NUM
fuelectenerg-13520	86	50	nonlinear	nonlinear	ADJ
fuelectenerg-13520	86	51	equations	equation	NOUN
fuelectenerg-13520	86	52	must	must	AUX
fuelectenerg-13520	86	53	be	be	AUX
fuelectenerg-13520	86	54	solved	solve	VERB
fuelectenerg-13520	86	55	while	while	SCONJ
fuelectenerg-13520	86	56	ensuring	ensure	VERB
fuelectenerg-13520	86	57	the	the	DET
fuelectenerg-13520	86	58	minimum	minimum	ADJ
fuelectenerg-13520	86	59	stopband	stopband	NOUN
fuelectenerg-13520	86	60	attenuation	attenuation	NOUN
fuelectenerg-13520	86	61	is	be	AUX
fuelectenerg-13520	86	62	satisfied	satisfied	ADJ
fuelectenerg-13520	86	63	.	.	PUNCT
fuelectenerg-13520	87	1	as	as	ADP
fuelectenerg-13520	87	2	a	a	DET
fuelectenerg-13520	87	3	result	result	NOUN
fuelectenerg-13520	87	4	,	,	PUNCT
fuelectenerg-13520	87	5	the	the	DET
fuelectenerg-13520	87	6	passband	passband	NOUN
fuelectenerg-13520	87	7	ripples	ripple	NOUN
fuelectenerg-13520	87	8	are	be	AUX
fuelectenerg-13520	87	9	no	no	ADV
fuelectenerg-13520	87	10	longer	long	ADV
fuelectenerg-13520	87	11	equal	equal	ADJ
fuelectenerg-13520	87	12	but	but	CCONJ
fuelectenerg-13520	87	13	increase	increase	VERB
fuelectenerg-13520	87	14	toward	toward	ADP
fuelectenerg-13520	87	15	the	the	DET
fuelectenerg-13520	87	16	passband	passband	NOUN
fuelectenerg-13520	87	17	edge	edge	NOUN
fuelectenerg-13520	87	18	.	.	PUNCT
fuelectenerg-13520	88	1	this	this	DET
fuelectenerg-13520	88	2	approach	approach	NOUN
fuelectenerg-13520	88	3	to	to	ADP
fuelectenerg-13520	88	4	improving	improve	VERB
fuelectenerg-13520	88	5	stopband	stopband	NOUN
fuelectenerg-13520	88	6	performance	performance	NOUN
fuelectenerg-13520	88	7	comes	come	VERB
fuelectenerg-13520	88	8	at	at	ADP
fuelectenerg-13520	88	9	the	the	DET
fuelectenerg-13520	88	10	cost	cost	NOUN
fuelectenerg-13520	88	11	of	of	ADP
fuelectenerg-13520	88	12	distorting	distort	VERB
fuelectenerg-13520	88	13	the	the	DET
fuelectenerg-13520	88	14	extremal	extremal	ADJ
fuelectenerg-13520	88	15	properties	property	NOUN
fuelectenerg-13520	88	16	of	of	ADP
fuelectenerg-13520	88	17	the	the	DET
fuelectenerg-13520	88	18	chebyshev	chebyshev	NOUN
fuelectenerg-13520	88	19	polynomial	polynomial	NOUN
fuelectenerg-13520	88	20	.	.	PUNCT
fuelectenerg-13520	89	1	the	the	DET
fuelectenerg-13520	89	2	second	second	ADJ
fuelectenerg-13520	89	3	approach	approach	NOUN
fuelectenerg-13520	89	4	involves	involve	VERB
fuelectenerg-13520	89	5	the	the	DET
fuelectenerg-13520	89	6	approximation	approximation	NOUN
fuelectenerg-13520	89	7	of	of	ADP
fuelectenerg-13520	89	8	generalized	generalized	ADJ
fuelectenerg-13520	89	9	c	c	NOUN
fuelectenerg-13520	89	10	filters	filter	NOUN
fuelectenerg-13520	90	1	[	[	X
fuelectenerg-13520	90	2	9–13	9–13	NOUN
fuelectenerg-13520	90	3	]	]	PUNCT
fuelectenerg-13520	90	4	,	,	PUNCT
fuelectenerg-13520	90	5	which	which	PRON
fuelectenerg-13520	90	6	exhibit	exhibit	VERB
fuelectenerg-13520	90	7	equiripple	equiripple	NOUN
fuelectenerg-13520	90	8	characteristics	characteristic	NOUN
fuelectenerg-13520	90	9	in	in	ADP
fuelectenerg-13520	90	10	both	both	CCONJ
fuelectenerg-13520	90	11	the	the	DET
fuelectenerg-13520	90	12	passband	passband	NOUN
fuelectenerg-13520	90	13	and	and	CCONJ
fuelectenerg-13520	90	14	stopband	stopband	NOUN
fuelectenerg-13520	90	15	.	.	PUNCT
fuelectenerg-13520	91	1	in	in	ADP
fuelectenerg-13520	91	2	this	this	DET
fuelectenerg-13520	91	3	case	case	NOUN
fuelectenerg-13520	91	4	,	,	PUNCT
fuelectenerg-13520	91	5	the	the	DET
fuelectenerg-13520	91	6	filtering	filter	VERB
fuelectenerg-13520	91	7	function	function	NOUN
fuelectenerg-13520	91	8	of	of	ADP
fuelectenerg-13520	91	9	degree	degree	NOUN
fuelectenerg-13520	91	10	n	n	NOUN
fuelectenerg-13520	91	11	takes	take	VERB
fuelectenerg-13520	91	12	the	the	DET
fuelectenerg-13520	91	13	form	form	NOUN
fuelectenerg-13520	91	14	of	of	ADP
fuelectenerg-13520	91	15	a	a	DET
fuelectenerg-13520	91	16	generalized	generalize	VERB
fuelectenerg-13520	91	17	c	c	NOUN
fuelectenerg-13520	91	18	filtering	filtering	NOUN
fuelectenerg-13520	91	19	function	function	NOUN
fuelectenerg-13520	91	20	:	:	PUNCT
fuelectenerg-13520	91	21	cn(ω	cn(ω	X
fuelectenerg-13520	91	22	)	)	PUNCT
fuelectenerg-13520	91	23	=	=	SYM
fuelectenerg-13520	91	24	cosh	cosh	NOUN
fuelectenerg-13520	91	25	{	{	PUNCT
fuelectenerg-13520	91	26	∑n	∑n	PROPN
fuelectenerg-13520	91	27	i=1	i=1	PROPN
fuelectenerg-13520	91	28	acosh	acosh	NOUN
fuelectenerg-13520	92	1	[	[	X
fuelectenerg-13520	92	2	(	(	PUNCT
fuelectenerg-13520	92	3	ω	ω	X
fuelectenerg-13520	92	4	ωi	ωi	PROPN
fuelectenerg-13520	92	5	−	−	PROPN
fuelectenerg-13520	92	6	1)/(ωi	1)/(ωi	PROPN
fuelectenerg-13520	92	7	−	−	PROPN
fuelectenerg-13520	92	8	ω	ω	PROPN
fuelectenerg-13520	92	9	)	)	PUNCT
fuelectenerg-13520	92	10	]	]	PUNCT
fuelectenerg-13520	92	11	}	}	PUNCT
fuelectenerg-13520	92	12	,	,	PUNCT
fuelectenerg-13520	92	13	where	where	SCONJ
fuelectenerg-13520	92	14	ωi	ωi	PROPN
fuelectenerg-13520	92	15	represents	represent	VERB
fuelectenerg-13520	92	16	the	the	DET
fuelectenerg-13520	92	17	position	position	NOUN
fuelectenerg-13520	92	18	of	of	ADP
fuelectenerg-13520	92	19	the	the	DET
fuelectenerg-13520	92	20	ith	ith	PROPN
fuelectenerg-13520	92	21	transmission	transmission	NOUN
fuelectenerg-13520	92	22	zero	zero	NUM
fuelectenerg-13520	93	1	[	[	X
fuelectenerg-13520	93	2	14	14	NUM
fuelectenerg-13520	93	3	]	]	PUNCT
fuelectenerg-13520	93	4	.	.	PUNCT
fuelectenerg-13520	94	1	some	some	DET
fuelectenerg-13520	94	2	transmission	transmission	NOUN
fuelectenerg-13520	94	3	zeros	zero	NOUN
fuelectenerg-13520	94	4	may	may	AUX
fuelectenerg-13520	94	5	coincide	coincide	VERB
fuelectenerg-13520	94	6	at	at	ADP
fuelectenerg-13520	94	7	the	the	DET
fuelectenerg-13520	94	8	same	same	ADJ
fuelectenerg-13520	94	9	location	location	NOUN
fuelectenerg-13520	94	10	(	(	PUNCT
fuelectenerg-13520	94	11	ωi	ωi	NOUN
fuelectenerg-13520	94	12	=	=	PUNCT
fuelectenerg-13520	94	13	ω0	ω0	PROPN
fuelectenerg-13520	94	14	)	)	PUNCT
fuelectenerg-13520	94	15	,	,	PUNCT
fuelectenerg-13520	94	16	while	while	SCONJ
fuelectenerg-13520	94	17	others	other	NOUN
fuelectenerg-13520	94	18	may	may	AUX
fuelectenerg-13520	94	19	be	be	AUX
fuelectenerg-13520	94	20	at	at	ADP
fuelectenerg-13520	94	21	infinity	infinity	NOUN
fuelectenerg-13520	94	22	.	.	PUNCT
fuelectenerg-13520	95	1	an	an	DET
fuelectenerg-13520	95	2	optimization	optimization	NOUN
fuelectenerg-13520	95	3	process	process	NOUN
fuelectenerg-13520	95	4	is	be	AUX
fuelectenerg-13520	95	5	required	require	VERB
fuelectenerg-13520	95	6	to	to	PART
fuelectenerg-13520	95	7	determine	determine	VERB
fuelectenerg-13520	95	8	the	the	DET
fuelectenerg-13520	95	9	number	number	NOUN
fuelectenerg-13520	95	10	and	and	CCONJ
fuelectenerg-13520	95	11	positions	position	NOUN
fuelectenerg-13520	95	12	of	of	ADP
fuelectenerg-13520	95	13	the	the	DET
fuelectenerg-13520	95	14	transmission	transmission	NOUN
fuelectenerg-13520	95	15	zeros	zero	NOUN
fuelectenerg-13520	95	16	.	.	PUNCT
fuelectenerg-13520	96	1	then	then	ADV
fuelectenerg-13520	96	2	,	,	PUNCT
fuelectenerg-13520	96	3	a	a	DET
fuelectenerg-13520	96	4	recursive	recursive	ADJ
fuelectenerg-13520	96	5	technique	technique	NOUN
fuelectenerg-13520	96	6	is	be	AUX
fuelectenerg-13520	96	7	employed	employ	VERB
fuelectenerg-13520	96	8	to	to	PART
fuelectenerg-13520	96	9	generate	generate	VERB
fuelectenerg-13520	96	10	the	the	DET
fuelectenerg-13520	96	11	generalized	generalize	VERB
fuelectenerg-13520	96	12	c	c	NOUN
fuelectenerg-13520	96	13	transfer	transfer	NOUN
fuelectenerg-13520	96	14	and	and	CCONJ
fuelectenerg-13520	96	15	reflection	reflection	NOUN
fuelectenerg-13520	96	16	rational	rational	ADJ
fuelectenerg-13520	96	17	polynomials	polynomial	NOUN
fuelectenerg-13520	96	18	given	give	VERB
fuelectenerg-13520	96	19	to	to	ADP
fuelectenerg-13520	96	20	the	the	DET
fuelectenerg-13520	96	21	determined	determined	ADJ
fuelectenerg-13520	96	22	driving	driving	NOUN
fuelectenerg-13520	96	23	point	point	NOUN
fuelectenerg-13520	96	24	impedance	impedance	NOUN
fuelectenerg-13520	96	25	of	of	ADP
fuelectenerg-13520	96	26	a	a	DET
fuelectenerg-13520	96	27	doubly	doubly	ADV
fuelectenerg-13520	96	28	terminated	terminate	VERB
fuelectenerg-13520	96	29	lc	lc	NOUN
fuelectenerg-13520	96	30	ladder	ladder	NOUN
fuelectenerg-13520	96	31	network	network	NOUN
fuelectenerg-13520	96	32	.	.	PUNCT
fuelectenerg-13520	97	1	ultimately	ultimately	ADV
fuelectenerg-13520	97	2	,	,	PUNCT
fuelectenerg-13520	97	3	this	this	DET
fuelectenerg-13520	97	4	approach	approach	NOUN
fuelectenerg-13520	97	5	results	result	VERB
fuelectenerg-13520	97	6	in	in	ADP
fuelectenerg-13520	97	7	a	a	DET
fuelectenerg-13520	97	8	lossless	lossless	NOUN
fuelectenerg-13520	97	9	coupling	coupling	NOUN
fuelectenerg-13520	97	10	matrix	matrix	NOUN
fuelectenerg-13520	97	11	resonator	resonator	NOUN
fuelectenerg-13520	97	12	network	network	NOUN
fuelectenerg-13520	97	13	that	that	PRON
fuelectenerg-13520	97	14	functions	function	NOUN
fuelectenerg-13520	97	15	as	as	ADP
fuelectenerg-13520	97	16	a	a	DET
fuelectenerg-13520	97	17	microwave	microwave	NOUN
fuelectenerg-13520	97	18	bandpass	bandpass	NOUN
fuelectenerg-13520	97	19	filter	filter	NOUN
fuelectenerg-13520	97	20	[	[	X
fuelectenerg-13520	97	21	14	14	NUM
fuelectenerg-13520	97	22	]	]	PUNCT
fuelectenerg-13520	97	23	.	.	PUNCT
fuelectenerg-13520	98	1	it	it	PRON
fuelectenerg-13520	98	2	can	can	AUX
fuelectenerg-13520	98	3	be	be	AUX
fuelectenerg-13520	98	4	concluded	conclude	VERB
fuelectenerg-13520	98	5	that	that	SCONJ
fuelectenerg-13520	98	6	generalized	generalized	ADJ
fuelectenerg-13520	98	7	chebyshev	chebyshev	NOUN
fuelectenerg-13520	98	8	filters	filter	NOUN
fuelectenerg-13520	98	9	preserve	preserve	VERB
fuelectenerg-13520	98	10	the	the	DET
fuelectenerg-13520	98	11	extremal	extremal	ADJ
fuelectenerg-13520	98	12	properties	property	NOUN
fuelectenerg-13520	98	13	of	of	ADP
fuelectenerg-13520	98	14	c	c	NOUN
fuelectenerg-13520	98	15	polynomials	polynomial	NOUN
fuelectenerg-13520	98	16	and	and	CCONJ
fuelectenerg-13520	98	17	are	be	AUX
fuelectenerg-13520	98	18	primarily	primarily	ADV
fuelectenerg-13520	98	19	designed	design	VERB
fuelectenerg-13520	98	20	for	for	ADP
fuelectenerg-13520	98	21	microwave	microwave	NOUN
fuelectenerg-13520	98	22	filter	filter	NOUN
fuelectenerg-13520	98	23	applications	application	NOUN
fuelectenerg-13520	98	24	,	,	PUNCT
fuelectenerg-13520	98	25	particularly	particularly	ADV
fuelectenerg-13520	98	26	in	in	ADP
fuelectenerg-13520	98	27	coupling	couple	VERB
fuelectenerg-13520	98	28	matrix	matrix	NOUN
fuelectenerg-13520	98	29	resonator	resonator	NOUN
fuelectenerg-13520	98	30	networks	network	NOUN
fuelectenerg-13520	98	31	.	.	PUNCT
fuelectenerg-13520	99	1	consequently	consequently	ADV
fuelectenerg-13520	99	2	,	,	PUNCT
fuelectenerg-13520	99	3	this	this	DET
fuelectenerg-13520	99	4	approximation	approximation	NOUN
fuelectenerg-13520	99	5	is	be	AUX
fuelectenerg-13520	99	6	unsuitable	unsuitable	ADJ
fuelectenerg-13520	99	7	for	for	ADP
fuelectenerg-13520	99	8	improving	improve	VERB
fuelectenerg-13520	99	9	the	the	DET
fuelectenerg-13520	99	10	out	out	ADJ
fuelectenerg-13520	99	11	-	-	PUNCT
fuelectenerg-13520	99	12	of	of	ADP
fuelectenerg-13520	99	13	-	-	PUNCT
fuelectenerg-13520	99	14	band	band	NOUN
fuelectenerg-13520	99	15	attenuation	attenuation	NOUN
fuelectenerg-13520	99	16	of	of	ADP
fuelectenerg-13520	99	17	optimum	optimum	ADJ
fuelectenerg-13520	99	18	c	c	NOUN
fuelectenerg-13520	99	19	filters	filter	NOUN
fuelectenerg-13520	99	20	,	,	PUNCT
fuelectenerg-13520	99	21	as	as	SCONJ
fuelectenerg-13520	99	22	their	their	PRON
fuelectenerg-13520	99	23	application	application	NOUN
fuelectenerg-13520	99	24	is	be	AUX
fuelectenerg-13520	99	25	not	not	PART
fuelectenerg-13520	99	26	limited	limit	VERB
fuelectenerg-13520	99	27	to	to	ADP
fuelectenerg-13520	99	28	microwave	microwave	NOUN
fuelectenerg-13520	99	29	filters	filter	NOUN
fuelectenerg-13520	99	30	but	but	CCONJ
fuelectenerg-13520	99	31	extends	extend	VERB
fuelectenerg-13520	99	32	to	to	ADP
fuelectenerg-13520	99	33	all	all	DET
fuelectenerg-13520	99	34	types	type	NOUN
fuelectenerg-13520	99	35	of	of	ADP
fuelectenerg-13520	99	36	filters	filter	NOUN
fuelectenerg-13520	99	37	where	where	SCONJ
fuelectenerg-13520	99	38	the	the	DET
fuelectenerg-13520	99	39	magnitude	magnitude	NOUN
fuelectenerg-13520	99	40	1the	1the	PROPN
fuelectenerg-13520	99	41	characteristic	characteristic	ADJ
fuelectenerg-13520	99	42	function	function	NOUN
fuelectenerg-13520	99	43	of	of	ADP
fuelectenerg-13520	99	44	the	the	DET
fuelectenerg-13520	99	45	chebyshev	chebyshev	NOUN
fuelectenerg-13520	99	46	filter	filter	NOUN
fuelectenerg-13520	99	47	is	be	AUX
fuelectenerg-13520	99	48	ψn(ω2	ψn(ω2	NOUN
fuelectenerg-13520	99	49	)	)	PUNCT
fuelectenerg-13520	100	1	=	=	NOUN
fuelectenerg-13520	100	2	pr	pr	NOUN
fuelectenerg-13520	100	3	pl	pl	NOUN
fuelectenerg-13520	100	4	=	=	SYM
fuelectenerg-13520	100	5	ε3c2	ε3c2	PROPN
fuelectenerg-13520	100	6	n(ω	n(ω	PROPN
fuelectenerg-13520	100	7	)	)	PUNCT
fuelectenerg-13520	100	8	,	,	PUNCT
fuelectenerg-13520	100	9	where	where	SCONJ
fuelectenerg-13520	100	10	pr	pr	NOUN
fuelectenerg-13520	100	11	is	be	AUX
fuelectenerg-13520	100	12	reflected	reflect	VERB
fuelectenerg-13520	100	13	power	power	NOUN
fuelectenerg-13520	100	14	and	and	CCONJ
fuelectenerg-13520	100	15	pl	pl	PROPN
fuelectenerg-13520	100	16	is	be	AUX
fuelectenerg-13520	100	17	transmitted	transmit	VERB
fuelectenerg-13520	100	18	power	power	NOUN
fuelectenerg-13520	100	19	.	.	PUNCT
fuelectenerg-13520	101	1	optimum	optimum	ADJ
fuelectenerg-13520	101	2	chebyshev	chebyshev	PROPN
fuelectenerg-13520	101	3	lowpass	lowpass	NOUN
fuelectenerg-13520	101	4	filter	filter	NOUN
fuelectenerg-13520	101	5	with	with	ADP
fuelectenerg-13520	101	6	a	a	DET
fuelectenerg-13520	101	7	pair	pair	NOUN
fuelectenerg-13520	101	8	of	of	ADP
fuelectenerg-13520	101	9	imaginary	imaginary	ADJ
fuelectenerg-13520	101	10	-	-	PUNCT
fuelectenerg-13520	101	11	axis	axis	NOUN
fuelectenerg-13520	101	12	zeros	zero	NOUN
fuelectenerg-13520	101	13	101	101	NUM
fuelectenerg-13520	101	14	response	response	NOUN
fuelectenerg-13520	101	15	is	be	AUX
fuelectenerg-13520	101	16	of	of	ADP
fuelectenerg-13520	101	17	primary	primary	ADJ
fuelectenerg-13520	101	18	importance	importance	NOUN
fuelectenerg-13520	101	19	.	.	PUNCT
fuelectenerg-13520	102	1	the	the	DET
fuelectenerg-13520	102	2	primary	primary	ADJ
fuelectenerg-13520	102	3	objective	objective	NOUN
fuelectenerg-13520	102	4	of	of	ADP
fuelectenerg-13520	102	5	this	this	DET
fuelectenerg-13520	102	6	paper	paper	NOUN
fuelectenerg-13520	102	7	is	be	AUX
fuelectenerg-13520	102	8	to	to	PART
fuelectenerg-13520	102	9	enhance	enhance	VERB
fuelectenerg-13520	102	10	the	the	DET
fuelectenerg-13520	102	11	out	out	ADJ
fuelectenerg-13520	102	12	-	-	PUNCT
fuelectenerg-13520	102	13	of	of	ADP
fuelectenerg-13520	102	14	-	-	PUNCT
fuelectenerg-13520	102	15	band	band	NOUN
fuelectenerg-13520	102	16	rejection	rejection	NOUN
fuelectenerg-13520	102	17	of	of	ADP
fuelectenerg-13520	102	18	an	an	DET
fuelectenerg-13520	102	19	optimum	optimum	ADJ
fuelectenerg-13520	102	20	c	c	NOUN
fuelectenerg-13520	102	21	all	all	PRON
fuelectenerg-13520	102	22	-	-	PUNCT
fuelectenerg-13520	102	23	pole	pole	NOUN
fuelectenerg-13520	102	24	filter	filter	NOUN
fuelectenerg-13520	102	25	by	by	ADP
fuelectenerg-13520	102	26	introducing	introduce	VERB
fuelectenerg-13520	102	27	a	a	DET
fuelectenerg-13520	102	28	pair	pair	NOUN
fuelectenerg-13520	102	29	of	of	ADP
fuelectenerg-13520	102	30	transmission	transmission	NOUN
fuelectenerg-13520	102	31	zeros	zero	NOUN
fuelectenerg-13520	102	32	(	(	PUNCT
fuelectenerg-13520	102	33	single	single	ADJ
fuelectenerg-13520	102	34	or	or	CCONJ
fuelectenerg-13520	102	35	multiple	multiple	ADJ
fuelectenerg-13520	102	36	)	)	PUNCT
fuelectenerg-13520	102	37	in	in	ADP
fuelectenerg-13520	102	38	its	its	PRON
fuelectenerg-13520	102	39	transcendental	transcendental	ADJ
fuelectenerg-13520	102	40	form	form	NOUN
fuelectenerg-13520	102	41	.	.	PUNCT
fuelectenerg-13520	103	1	the	the	DET
fuelectenerg-13520	103	2	attenuation	attenuation	NOUN
fuelectenerg-13520	103	3	level	level	NOUN
fuelectenerg-13520	103	4	of	of	ADP
fuelectenerg-13520	103	5	the	the	DET
fuelectenerg-13520	103	6	out	out	NOUN
fuelectenerg-13520	103	7	-	-	PUNCT
fuelectenerg-13520	103	8	of	of	ADP
fuelectenerg-13520	103	9	-	-	PUNCT
fuelectenerg-13520	103	10	band	band	NOUN
fuelectenerg-13520	103	11	lobe	lobe	NOUN
fuelectenerg-13520	103	12	is	be	AUX
fuelectenerg-13520	103	13	determined	determine	VERB
fuelectenerg-13520	103	14	by	by	ADP
fuelectenerg-13520	103	15	the	the	DET
fuelectenerg-13520	103	16	position	position	NOUN
fuelectenerg-13520	103	17	of	of	ADP
fuelectenerg-13520	103	18	the	the	DET
fuelectenerg-13520	103	19	transmission	transmission	NOUN
fuelectenerg-13520	103	20	zero	zero	NUM
fuelectenerg-13520	103	21	,	,	PUNCT
fuelectenerg-13520	103	22	which	which	PRON
fuelectenerg-13520	103	23	is	be	AUX
fuelectenerg-13520	103	24	computed	compute	VERB
fuelectenerg-13520	103	25	using	use	VERB
fuelectenerg-13520	103	26	the	the	DET
fuelectenerg-13520	103	27	newton	newton	PROPN
fuelectenerg-13520	103	28	-	-	PUNCT
fuelectenerg-13520	103	29	raphson	raphson	PROPN
fuelectenerg-13520	103	30	method	method	NOUN
fuelectenerg-13520	103	31	to	to	PART
fuelectenerg-13520	103	32	solve	solve	VERB
fuelectenerg-13520	103	33	a	a	DET
fuelectenerg-13520	103	34	system	system	NOUN
fuelectenerg-13520	103	35	of	of	ADP
fuelectenerg-13520	103	36	nonlinear	nonlinear	ADJ
fuelectenerg-13520	103	37	equations	equation	NOUN
fuelectenerg-13520	103	38	.	.	PUNCT
fuelectenerg-13520	104	1	this	this	DET
fuelectenerg-13520	104	2	approach	approach	NOUN
fuelectenerg-13520	104	3	ensures	ensure	VERB
fuelectenerg-13520	104	4	that	that	SCONJ
fuelectenerg-13520	104	5	the	the	DET
fuelectenerg-13520	104	6	extremal	extremal	ADJ
fuelectenerg-13520	104	7	properties	property	NOUN
fuelectenerg-13520	104	8	of	of	ADP
fuelectenerg-13520	104	9	the	the	DET
fuelectenerg-13520	104	10	chebyshev	chebyshev	NOUN
fuelectenerg-13520	104	11	filtering	filtering	NOUN
fuelectenerg-13520	104	12	function	function	NOUN
fuelectenerg-13520	104	13	are	be	AUX
fuelectenerg-13520	104	14	preserved	preserve	VERB
fuelectenerg-13520	104	15	.	.	PUNCT
fuelectenerg-13520	105	1	explicit	explicit	ADJ
fuelectenerg-13520	105	2	rational	rational	ADJ
fuelectenerg-13520	105	3	polynomial	polynomial	ADJ
fuelectenerg-13520	105	4	expressions	expression	NOUN
fuelectenerg-13520	105	5	are	be	AUX
fuelectenerg-13520	105	6	derived	derive	VERB
fuelectenerg-13520	105	7	for	for	ADP
fuelectenerg-13520	105	8	the	the	DET
fuelectenerg-13520	105	9	transcendental	transcendental	ADJ
fuelectenerg-13520	105	10	c	c	NOUN
fuelectenerg-13520	105	11	function	function	NOUN
fuelectenerg-13520	105	12	of	of	ADP
fuelectenerg-13520	105	13	arbitrary	arbitrary	ADJ
fuelectenerg-13520	105	14	degree	degree	NOUN
fuelectenerg-13520	105	15	,	,	PUNCT
fuelectenerg-13520	105	16	incorporating	incorporate	VERB
fuelectenerg-13520	105	17	a	a	DET
fuelectenerg-13520	105	18	pair	pair	NOUN
fuelectenerg-13520	105	19	of	of	ADP
fuelectenerg-13520	105	20	transmission	transmission	NOUN
fuelectenerg-13520	105	21	zeros	zero	NOUN
fuelectenerg-13520	105	22	with	with	ADP
fuelectenerg-13520	105	23	arbitrary	arbitrary	ADJ
fuelectenerg-13520	105	24	multiplicity	multiplicity	NOUN
fuelectenerg-13520	105	25	.	.	PUNCT
fuelectenerg-13520	106	1	the	the	DET
fuelectenerg-13520	106	2	proposed	propose	VERB
fuelectenerg-13520	106	3	mathematical	mathematical	ADJ
fuelectenerg-13520	106	4	framework	framework	NOUN
fuelectenerg-13520	106	5	is	be	AUX
fuelectenerg-13520	106	6	presented	present	VERB
fuelectenerg-13520	106	7	in	in	ADP
fuelectenerg-13520	106	8	detail	detail	NOUN
fuelectenerg-13520	106	9	.	.	PUNCT
fuelectenerg-13520	107	1	a	a	DET
fuelectenerg-13520	107	2	multiple	multiple	ADJ
fuelectenerg-13520	107	3	transmission	transmission	NOUN
fuelectenerg-13520	107	4	zero	zero	NUM
fuelectenerg-13520	107	5	pair	pair	NOUN
fuelectenerg-13520	107	6	is	be	AUX
fuelectenerg-13520	107	7	used	use	VERB
fuelectenerg-13520	107	8	because	because	SCONJ
fuelectenerg-13520	107	9	it	it	PRON
fuelectenerg-13520	107	10	allows	allow	VERB
fuelectenerg-13520	107	11	the	the	DET
fuelectenerg-13520	107	12	odd	odd	ADJ
fuelectenerg-13520	107	13	-	-	PUNCT
fuelectenerg-13520	107	14	degree	degree	NOUN
fuelectenerg-13520	107	15	lc	lc	NOUN
fuelectenerg-13520	107	16	ladder	ladder	NOUN
fuelectenerg-13520	107	17	network	network	NOUN
fuelectenerg-13520	107	18	to	to	PART
fuelectenerg-13520	107	19	be	be	AUX
fuelectenerg-13520	107	20	both	both	PRON
fuelectenerg-13520	107	21	symmetrical	symmetrical	ADJ
fuelectenerg-13520	107	22	and	and	CCONJ
fuelectenerg-13520	107	23	reciprocal	reciprocal	ADJ
fuelectenerg-13520	107	24	.	.	PUNCT
fuelectenerg-13520	108	1	the	the	DET
fuelectenerg-13520	108	2	validity	validity	NOUN
fuelectenerg-13520	108	3	and	and	CCONJ
fuelectenerg-13520	108	4	efficiency	efficiency	NOUN
fuelectenerg-13520	108	5	of	of	ADP
fuelectenerg-13520	108	6	the	the	DET
fuelectenerg-13520	108	7	proposed	propose	VERB
fuelectenerg-13520	108	8	method	method	NOUN
fuelectenerg-13520	108	9	are	be	AUX
fuelectenerg-13520	108	10	demonstrated	demonstrate	VERB
fuelectenerg-13520	108	11	by	by	ADP
fuelectenerg-13520	108	12	approximating	approximate	VERB
fuelectenerg-13520	108	13	a	a	DET
fuelectenerg-13520	108	14	seventh	seventh	ADJ
fuelectenerg-13520	108	15	-	-	PUNCT
fuelectenerg-13520	108	16	degree	degree	NOUN
fuelectenerg-13520	108	17	rational	rational	ADJ
fuelectenerg-13520	108	18	optimum	optimum	NOUN
fuelectenerg-13520	108	19	c	c	NOUN
fuelectenerg-13520	108	20	filter	filter	NOUN
fuelectenerg-13520	108	21	with	with	ADP
fuelectenerg-13520	108	22	a	a	DET
fuelectenerg-13520	108	23	single	single	ADJ
fuelectenerg-13520	108	24	pair	pair	NOUN
fuelectenerg-13520	108	25	,	,	PUNCT
fuelectenerg-13520	108	26	double	double	ADJ
fuelectenerg-13520	108	27	pair	pair	NOUN
fuelectenerg-13520	108	28	,	,	PUNCT
fuelectenerg-13520	108	29	and	and	CCONJ
fuelectenerg-13520	108	30	triple	triple	ADJ
fuelectenerg-13520	108	31	pair	pair	NOUN
fuelectenerg-13520	108	32	of	of	ADP
fuelectenerg-13520	108	33	real	real	ADJ
fuelectenerg-13520	108	34	transmission	transmission	NOUN
fuelectenerg-13520	108	35	zeros	zero	NOUN
fuelectenerg-13520	108	36	.	.	PUNCT
fuelectenerg-13520	109	1	the	the	DET
fuelectenerg-13520	109	2	properties	property	NOUN
fuelectenerg-13520	109	3	of	of	ADP
fuelectenerg-13520	109	4	these	these	DET
fuelectenerg-13520	109	5	filters	filter	NOUN
fuelectenerg-13520	109	6	are	be	AUX
fuelectenerg-13520	109	7	tabulated	tabulate	VERB
fuelectenerg-13520	109	8	,	,	PUNCT
fuelectenerg-13520	109	9	and	and	CCONJ
fuelectenerg-13520	109	10	a	a	DET
fuelectenerg-13520	109	11	comparative	comparative	ADJ
fuelectenerg-13520	109	12	analysis	analysis	NOUN
fuelectenerg-13520	109	13	is	be	AUX
fuelectenerg-13520	109	14	provided	provide	VERB
fuelectenerg-13520	109	15	for	for	ADP
fuelectenerg-13520	109	16	all	all	DET
fuelectenerg-13520	109	17	optimum	optimum	ADJ
fuelectenerg-13520	109	18	seventh	seventh	ADJ
fuelectenerg-13520	109	19	-	-	PUNCT
fuelectenerg-13520	109	20	degree	degree	NOUN
fuelectenerg-13520	109	21	c	c	NOUN
fuelectenerg-13520	109	22	filters	filter	NOUN
fuelectenerg-13520	109	23	,	,	PUNCT
fuelectenerg-13520	109	24	including	include	VERB
fuelectenerg-13520	109	25	the	the	DET
fuelectenerg-13520	109	26	all	all	DET
fuelectenerg-13520	109	27	-	-	PUNCT
fuelectenerg-13520	109	28	pole	pole	NOUN
fuelectenerg-13520	109	29	filter	filter	NOUN
fuelectenerg-13520	109	30	.	.	PUNCT
fuelectenerg-13520	110	1	2	2	X
fuelectenerg-13520	110	2	.	.	X
fuelectenerg-13520	110	3	rational	rational	ADJ
fuelectenerg-13520	110	4	optimum	optimum	NOUN
fuelectenerg-13520	110	5	c	c	NOUN
fuelectenerg-13520	110	6	filters	filter	NOUN
fuelectenerg-13520	110	7	approximation	approximation	VERB
fuelectenerg-13520	110	8	the	the	DET
fuelectenerg-13520	110	9	squared	square	VERB
fuelectenerg-13520	110	10	magnitude	magnitude	NOUN
fuelectenerg-13520	110	11	of	of	ADP
fuelectenerg-13520	110	12	the	the	DET
fuelectenerg-13520	110	13	transmission	transmission	NOUN
fuelectenerg-13520	110	14	coefficient	coefficient	NOUN
fuelectenerg-13520	110	15	of	of	ADP
fuelectenerg-13520	110	16	the	the	DET
fuelectenerg-13520	110	17	optimum	optimum	ADJ
fuelectenerg-13520	110	18	c	c	NOUN
fuelectenerg-13520	110	19	filter	filter	NOUN
fuelectenerg-13520	110	20	,	,	PUNCT
fuelectenerg-13520	110	21	representing	represent	VERB
fuelectenerg-13520	110	22	the	the	DET
fuelectenerg-13520	110	23	ratio	ratio	NOUN
fuelectenerg-13520	110	24	of	of	ADP
fuelectenerg-13520	110	25	the	the	DET
fuelectenerg-13520	110	26	transmitted	transmit	VERB
fuelectenerg-13520	110	27	power	power	NOUN
fuelectenerg-13520	110	28	,	,	PUNCT
fuelectenerg-13520	110	29	pl	pl	NOUN
fuelectenerg-13520	110	30	,	,	PUNCT
fuelectenerg-13520	110	31	to	to	ADP
fuelectenerg-13520	110	32	the	the	DET
fuelectenerg-13520	110	33	power	power	NOUN
fuelectenerg-13520	110	34	available	available	ADJ
fuelectenerg-13520	110	35	from	from	ADP
fuelectenerg-13520	110	36	the	the	DET
fuelectenerg-13520	110	37	source	source	NOUN
fuelectenerg-13520	110	38	,	,	PUNCT
fuelectenerg-13520	110	39	pa	pa	PROPN
fuelectenerg-13520	110	40	,	,	PUNCT
fuelectenerg-13520	110	41	is	be	AUX
fuelectenerg-13520	110	42	given	give	VERB
fuelectenerg-13520	110	43	by	by	ADP
fuelectenerg-13520	110	44	|s21	|s21	X
fuelectenerg-13520	110	45	(	(	PUNCT
fuelectenerg-13520	110	46	jω)|2	jω)|2	PROPN
fuelectenerg-13520	110	47	=	=	SYM
fuelectenerg-13520	110	48	pl	pl	PROPN
fuelectenerg-13520	110	49	pa	pa	NOUN
fuelectenerg-13520	110	50	=	=	PROPN
fuelectenerg-13520	110	51	1	1	NUM
fuelectenerg-13520	110	52	1	1	NUM
fuelectenerg-13520	110	53	+	+	CCONJ
fuelectenerg-13520	110	54	[	[	PUNCT
fuelectenerg-13520	110	55	εocn	εocn	NOUN
fuelectenerg-13520	110	56	(	(	PUNCT
fuelectenerg-13520	110	57	ω	ω	PROPN
fuelectenerg-13520	110	58	ωr	ωr	NOUN
fuelectenerg-13520	110	59	)	)	PUNCT
fuelectenerg-13520	110	60	]	]	SYM
fuelectenerg-13520	110	61	2	2	NUM
fuelectenerg-13520	110	62	,	,	PUNCT
fuelectenerg-13520	110	63	(	(	PUNCT
fuelectenerg-13520	110	64	1	1	X
fuelectenerg-13520	110	65	)	)	PUNCT
fuelectenerg-13520	110	66	where	where	SCONJ
fuelectenerg-13520	110	67	cn(ω	cn(ω	NOUN
fuelectenerg-13520	110	68	/	/	SYM
fuelectenerg-13520	110	69	ωr	ωr	NOUN
fuelectenerg-13520	110	70	)	)	PUNCT
fuelectenerg-13520	110	71	=	=	SYM
fuelectenerg-13520	110	72	cosh[n	cosh[n	PROPN
fuelectenerg-13520	110	73	acosh(ω	acosh(ω	NOUN
fuelectenerg-13520	110	74	/	/	SYM
fuelectenerg-13520	110	75	ωr	ωr	NOUN
fuelectenerg-13520	110	76	)	)	PUNCT
fuelectenerg-13520	110	77	]	]	PUNCT
fuelectenerg-13520	110	78	represents	represent	VERB
fuelectenerg-13520	110	79	the	the	DET
fuelectenerg-13520	110	80	transcendental	transcendental	ADJ
fuelectenerg-13520	110	81	form	form	NOUN
fuelectenerg-13520	110	82	of	of	ADP
fuelectenerg-13520	110	83	the	the	DET
fuelectenerg-13520	110	84	c	c	NOUN
fuelectenerg-13520	110	85	filtering	filtering	NOUN
fuelectenerg-13520	110	86	function	function	NOUN
fuelectenerg-13520	110	87	.	.	PUNCT
fuelectenerg-13520	111	1	when	when	SCONJ
fuelectenerg-13520	111	2	multiplied	multiply	VERB
fuelectenerg-13520	111	3	by	by	ADP
fuelectenerg-13520	111	4	εo	εo	ADJ
fuelectenerg-13520	111	5	,	,	PUNCT
fuelectenerg-13520	111	6	this	this	DET
fuelectenerg-13520	111	7	function	function	NOUN
fuelectenerg-13520	111	8	becomes	become	VERB
fuelectenerg-13520	111	9	the	the	DET
fuelectenerg-13520	111	10	optimum	optimum	ADJ
fuelectenerg-13520	111	11	all	all	DET
fuelectenerg-13520	111	12	-	-	PUNCT
fuelectenerg-13520	111	13	pole	pole	NOUN
fuelectenerg-13520	111	14	c	c	NOUN
fuelectenerg-13520	111	15	filtering	filtering	NOUN
fuelectenerg-13520	111	16	function	function	NOUN
fuelectenerg-13520	111	17	.	.	PUNCT
fuelectenerg-13520	112	1	here	here	ADV
fuelectenerg-13520	112	2	,	,	PUNCT
fuelectenerg-13520	112	3	εo	εo	ADJ
fuelectenerg-13520	112	4	is	be	AUX
fuelectenerg-13520	112	5	the	the	DET
fuelectenerg-13520	112	6	ripple	ripple	ADJ
fuelectenerg-13520	112	7	factor	factor	NOUN
fuelectenerg-13520	112	8	derived	derive	VERB
fuelectenerg-13520	112	9	for	for	ADP
fuelectenerg-13520	112	10	the	the	DET
fuelectenerg-13520	112	11	optimum	optimum	ADJ
fuelectenerg-13520	112	12	c	c	NOUN
fuelectenerg-13520	112	13	filters	filter	NOUN
fuelectenerg-13520	112	14	[	[	X
fuelectenerg-13520	112	15	1	1	NUM
fuelectenerg-13520	112	16	]	]	PUNCT
fuelectenerg-13520	112	17	,	,	PUNCT
fuelectenerg-13520	112	18	while	while	SCONJ
fuelectenerg-13520	112	19	ωr	ωr	ADV
fuelectenerg-13520	112	20	is	be	AUX
fuelectenerg-13520	112	21	the	the	DET
fuelectenerg-13520	112	22	ripple	ripple	ADJ
fuelectenerg-13520	112	23	bandwidth	bandwidth	NOUN
fuelectenerg-13520	112	24	,	,	PUNCT
fuelectenerg-13520	112	25	which	which	PRON
fuelectenerg-13520	112	26	normalizes	normalize	VERB
fuelectenerg-13520	112	27	the	the	DET
fuelectenerg-13520	112	28	argument	argument	NOUN
fuelectenerg-13520	112	29	of	of	ADP
fuelectenerg-13520	112	30	the	the	DET
fuelectenerg-13520	112	31	characteristic	characteristic	ADJ
fuelectenerg-13520	112	32	function	function	NOUN
fuelectenerg-13520	112	33	to	to	PART
fuelectenerg-13520	112	34	make	make	VERB
fuelectenerg-13520	112	35	it	it	PRON
fuelectenerg-13520	112	36	dimensionless	dimensionless	NOUN
fuelectenerg-13520	112	37	.	.	PUNCT
fuelectenerg-13520	113	1	2.1	2.1	NUM
fuelectenerg-13520	113	2	.	.	PUNCT
fuelectenerg-13520	113	3	filtering	filter	VERB
fuelectenerg-13520	113	4	function	function	NOUN
fuelectenerg-13520	113	5	derivation	derivation	NOUN
fuelectenerg-13520	113	6	the	the	DET
fuelectenerg-13520	113	7	magnitude	magnitude	NOUN
fuelectenerg-13520	113	8	correction	correction	NOUN
fuelectenerg-13520	113	9	of	of	ADP
fuelectenerg-13520	113	10	the	the	DET
fuelectenerg-13520	113	11	transmission	transmission	NOUN
fuelectenerg-13520	113	12	coefficient	coefficient	NOUN
fuelectenerg-13520	113	13	of	of	ADP
fuelectenerg-13520	113	14	the	the	DET
fuelectenerg-13520	113	15	optimum	optimum	ADJ
fuelectenerg-13520	113	16	c	c	NOUN
fuelectenerg-13520	113	17	filter	filter	NOUN
fuelectenerg-13520	113	18	to	to	PART
fuelectenerg-13520	113	19	enhance	enhance	VERB
fuelectenerg-13520	113	20	out	out	ADV
fuelectenerg-13520	113	21	-	-	PUNCT
fuelectenerg-13520	113	22	of	of	ADP
fuelectenerg-13520	113	23	-	-	PUNCT
fuelectenerg-13520	113	24	band	band	NOUN
fuelectenerg-13520	113	25	rejection	rejection	NOUN
fuelectenerg-13520	113	26	begins	begin	VERB
fuelectenerg-13520	113	27	by	by	ADP
fuelectenerg-13520	113	28	introducing	introduce	VERB
fuelectenerg-13520	113	29	a	a	DET
fuelectenerg-13520	113	30	symmetric	symmetric	ADJ
fuelectenerg-13520	113	31	pole	pole	NOUN
fuelectenerg-13520	113	32	pair	pair	NOUN
fuelectenerg-13520	113	33	of	of	ADP
fuelectenerg-13520	113	34	multiplicity	multiplicity	NOUN
fuelectenerg-13520	113	35	m	m	VERB
fuelectenerg-13520	113	36	into	into	ADP
fuelectenerg-13520	113	37	the	the	DET
fuelectenerg-13520	113	38	transcendental	transcendental	ADJ
fuelectenerg-13520	113	39	form	form	NOUN
fuelectenerg-13520	113	40	of	of	ADP
fuelectenerg-13520	113	41	the	the	DET
fuelectenerg-13520	113	42	nth	nth	NOUN
fuelectenerg-13520	113	43	degree	degree	NOUN
fuelectenerg-13520	113	44	c	c	NOUN
fuelectenerg-13520	113	45	filtering	filtering	NOUN
fuelectenerg-13520	113	46	function	function	NOUN
fuelectenerg-13520	113	47	(	(	PUNCT
fuelectenerg-13520	113	48	1	1	NUM
fuelectenerg-13520	113	49	)	)	PUNCT
fuelectenerg-13520	113	50	,	,	PUNCT
fuelectenerg-13520	113	51	as	as	SCONJ
fuelectenerg-13520	113	52	follows	follow	VERB
fuelectenerg-13520	113	53	:	:	PUNCT
fuelectenerg-13520	113	54	cn	cn	INTJ
fuelectenerg-13520	113	55	,	,	PUNCT
fuelectenerg-13520	113	56	m	m	VERB
fuelectenerg-13520	113	57	(	(	PUNCT
fuelectenerg-13520	113	58	ω	ω	PROPN
fuelectenerg-13520	113	59	ωr	ωr	NOUN
fuelectenerg-13520	113	60	)	)	PUNCT
fuelectenerg-13520	113	61	=	=	VERB
fuelectenerg-13520	113	62	cosh	cosh	NOUN
fuelectenerg-13520	113	63	{	{	PUNCT
fuelectenerg-13520	113	64	(	(	PUNCT
fuelectenerg-13520	113	65	n−	n−	NOUN
fuelectenerg-13520	113	66	2	2	NUM
fuelectenerg-13520	113	67	m	m	NOUN
fuelectenerg-13520	113	68	)	)	PUNCT
fuelectenerg-13520	113	69	acosh	acosh	PROPN
fuelectenerg-13520	113	70	(	(	PUNCT
fuelectenerg-13520	113	71	ω	ω	NOUN
fuelectenerg-13520	113	72	ωr	ωr	NOUN
fuelectenerg-13520	113	73	)	)	PUNCT
fuelectenerg-13520	114	1	+	+	VERB
fuelectenerg-13520	114	2	m	m	VERB
fuelectenerg-13520	114	3	acosh	acosh	NOUN
fuelectenerg-13520	114	4	[	[	PUNCT
fuelectenerg-13520	114	5	α	α	X
fuelectenerg-13520	114	6	(	(	PUNCT
fuelectenerg-13520	114	7	ω	ω	PROPN
fuelectenerg-13520	114	8	ωr	ωr	NOUN
fuelectenerg-13520	114	9	)	)	PUNCT
fuelectenerg-13520	114	10	]	]	PUNCT
fuelectenerg-13520	115	1	+	+	NOUN
fuelectenerg-13520	115	2	m	m	VERB
fuelectenerg-13520	115	3	acosh	acosh	ADJ
fuelectenerg-13520	115	4	[	[	PUNCT
fuelectenerg-13520	115	5	ᾱ	ᾱ	NOUN
fuelectenerg-13520	115	6	(	(	PUNCT
fuelectenerg-13520	115	7	ω	ω	PROPN
fuelectenerg-13520	115	8	ωr	ωr	NOUN
fuelectenerg-13520	115	9	)	)	PUNCT
fuelectenerg-13520	115	10	]	]	PUNCT
fuelectenerg-13520	115	11	}	}	PUNCT
fuelectenerg-13520	115	12	(	(	PUNCT
fuelectenerg-13520	115	13	2	2	X
fuelectenerg-13520	115	14	)	)	PUNCT
fuelectenerg-13520	115	15	where	where	SCONJ
fuelectenerg-13520	115	16	α	α	PROPN
fuelectenerg-13520	115	17	(	(	PUNCT
fuelectenerg-13520	115	18	ω	ω	PROPN
fuelectenerg-13520	115	19	ωr	ωr	NOUN
fuelectenerg-13520	115	20	)	)	PUNCT
fuelectenerg-13520	115	21	=	=	SYM
fuelectenerg-13520	115	22	ω	ω	NUM
fuelectenerg-13520	115	23	ωr	ωr	VERB
fuelectenerg-13520	115	24	χ−	χ−	NOUN
fuelectenerg-13520	115	25	1	1	NUM
fuelectenerg-13520	115	26	χ−	χ−	PROPN
fuelectenerg-13520	115	27	ω	ω	NUM
fuelectenerg-13520	115	28	ωr	ωr	NOUN
fuelectenerg-13520	115	29	and	and	CCONJ
fuelectenerg-13520	115	30	ᾱ	ᾱ	NOUN
fuelectenerg-13520	115	31	(	(	PUNCT
fuelectenerg-13520	115	32	ω	ω	PROPN
fuelectenerg-13520	115	33	ωr	ωr	NOUN
fuelectenerg-13520	115	34	)	)	PUNCT
fuelectenerg-13520	115	35	=	=	SYM
fuelectenerg-13520	115	36	ω	ω	NUM
fuelectenerg-13520	115	37	ωr	ωr	NOUN
fuelectenerg-13520	115	38	χ+	χ+	PROPN
fuelectenerg-13520	115	39	1	1	NUM
fuelectenerg-13520	115	40	χ+	χ+	PROPN
fuelectenerg-13520	115	41	ω	ω	NUM
fuelectenerg-13520	115	42	ωr	ωr	PROPN
fuelectenerg-13520	115	43	42	42	NUM
fuelectenerg-13520	115	44	n.	n.	NOUN
fuelectenerg-13520	115	45	stojanović	stojanović	PROPN
fuelectenerg-13520	115	46	,	,	PUNCT
fuelectenerg-13520	115	47	i.	i.	PROPN
fuelectenerg-13520	115	48	krstić	krstić	PROPN
fuelectenerg-13520	115	49	,	,	PUNCT
fuelectenerg-13520	115	50	n.	n.	PROPN
fuelectenerg-13520	115	51	stamenković	stamenković	VERB
fuelectenerg-13520	115	52	optimum	optimum	PROPN
fuelectenerg-13520	115	53	chebyshev	chebyshev	PROPN
fuelectenerg-13520	115	54	lowpass	lowpass	NOUN
fuelectenerg-13520	115	55	filter	filter	NOUN
fuelectenerg-13520	115	56	with	with	ADP
fuelectenerg-13520	115	57	a	a	DET
fuelectenerg-13520	115	58	pair	pair	NOUN
fuelectenerg-13520	115	59	of	of	ADP
fuelectenerg-13520	115	60	imaginary	imaginary	ADJ
fuelectenerg-13520	115	61	-	-	PUNCT
fuelectenerg-13520	115	62	axis	axis	NOUN
fuelectenerg-13520	115	63	zeros	zero	NOUN
fuelectenerg-13520	115	64	43	43	NUM
fuelectenerg-13520	115	65	102	102	NUM
fuelectenerg-13520	115	66	n.	n.	NOUN
fuelectenerg-13520	115	67	stojanović	stojanović	PROPN
fuelectenerg-13520	115	68	,	,	PUNCT
fuelectenerg-13520	115	69	i.	i.	PROPN
fuelectenerg-13520	115	70	krstić	krstić	PROPN
fuelectenerg-13520	115	71	,	,	PUNCT
fuelectenerg-13520	115	72	n.	n.	PROPN
fuelectenerg-13520	115	73	stamenković	stamenković	PROPN
fuelectenerg-13520	115	74	and	and	CCONJ
fuelectenerg-13520	115	75	χ	χ	PRON
fuelectenerg-13520	115	76	is	be	AUX
fuelectenerg-13520	115	77	a	a	DET
fuelectenerg-13520	115	78	dimensionless	dimensionless	ADJ
fuelectenerg-13520	115	79	coefficient	coefficient	NOUN
fuelectenerg-13520	115	80	.	.	PUNCT
fuelectenerg-13520	116	1	this	this	DET
fuelectenerg-13520	116	2	normalization	normalization	NOUN
fuelectenerg-13520	116	3	ensures	ensure	VERB
fuelectenerg-13520	116	4	that	that	SCONJ
fuelectenerg-13520	116	5	the	the	DET
fuelectenerg-13520	116	6	arguments	argument	NOUN
fuelectenerg-13520	116	7	of	of	ADP
fuelectenerg-13520	116	8	both	both	CCONJ
fuelectenerg-13520	116	9	hyperbolic	hyperbolic	ADJ
fuelectenerg-13520	116	10	functions	function	NOUN
fuelectenerg-13520	116	11	are	be	AUX
fuelectenerg-13520	116	12	also	also	ADV
fuelectenerg-13520	116	13	dimensionless	dimensionless	NOUN
fuelectenerg-13520	116	14	.	.	PUNCT
fuelectenerg-13520	117	1	in	in	ADP
fuelectenerg-13520	117	2	particular	particular	ADJ
fuelectenerg-13520	117	3	,	,	PUNCT
fuelectenerg-13520	117	4	if	if	SCONJ
fuelectenerg-13520	117	5	χ	χ	PRON
fuelectenerg-13520	117	6	approaches	approach	VERB
fuelectenerg-13520	117	7	infinity	infinity	NOUN
fuelectenerg-13520	117	8	or	or	CCONJ
fuelectenerg-13520	117	9	if	if	SCONJ
fuelectenerg-13520	117	10	m	m	VERB
fuelectenerg-13520	117	11	=	=	SYM
fuelectenerg-13520	117	12	0	0	NUM
fuelectenerg-13520	117	13	,	,	PUNCT
fuelectenerg-13520	117	14	then	then	ADV
fuelectenerg-13520	117	15	(	(	PUNCT
fuelectenerg-13520	117	16	2	2	X
fuelectenerg-13520	117	17	)	)	PUNCT
fuelectenerg-13520	117	18	reduces	reduce	VERB
fuelectenerg-13520	117	19	to	to	ADP
fuelectenerg-13520	117	20	the	the	DET
fuelectenerg-13520	117	21	filtering	filter	VERB
fuelectenerg-13520	117	22	function	function	NOUN
fuelectenerg-13520	117	23	c	c	PROPN
fuelectenerg-13520	117	24	of	of	ADP
fuelectenerg-13520	117	25	an	an	DET
fuelectenerg-13520	117	26	all	all	DET
fuelectenerg-13520	117	27	-	-	PUNCT
fuelectenerg-13520	117	28	pole	pole	NOUN
fuelectenerg-13520	117	29	filter	filter	NOUN
fuelectenerg-13520	117	30	.	.	PUNCT
fuelectenerg-13520	118	1	since	since	SCONJ
fuelectenerg-13520	118	2	εo	εo	NOUN
fuelectenerg-13520	118	3	is	be	AUX
fuelectenerg-13520	118	4	associated	associate	VERB
fuelectenerg-13520	118	5	with	with	ADP
fuelectenerg-13520	118	6	the	the	DET
fuelectenerg-13520	118	7	optimum	optimum	ADJ
fuelectenerg-13520	118	8	c	c	NOUN
fuelectenerg-13520	118	9	filter	filter	NOUN
fuelectenerg-13520	118	10	,	,	PUNCT
fuelectenerg-13520	118	11	the	the	DET
fuelectenerg-13520	118	12	function	function	NOUN
fuelectenerg-13520	118	13	εocn	εocn	NOUN
fuelectenerg-13520	118	14	,	,	PUNCT
fuelectenerg-13520	118	15	m(ω	m(ω	PROPN
fuelectenerg-13520	118	16	)	)	PUNCT
fuelectenerg-13520	118	17	represents	represent	VERB
fuelectenerg-13520	118	18	the	the	DET
fuelectenerg-13520	118	19	filtering	filter	VERB
fuelectenerg-13520	118	20	function	function	NOUN
fuelectenerg-13520	118	21	of	of	ADP
fuelectenerg-13520	118	22	the	the	DET
fuelectenerg-13520	118	23	rational	rational	ADJ
fuelectenerg-13520	118	24	optimum	optimum	NOUN
fuelectenerg-13520	118	25	c	c	NOUN
fuelectenerg-13520	118	26	filter	filter	NOUN
fuelectenerg-13520	118	27	.	.	PUNCT
fuelectenerg-13520	119	1	without	without	ADP
fuelectenerg-13520	119	2	loss	loss	NOUN
fuelectenerg-13520	119	3	of	of	ADP
fuelectenerg-13520	119	4	generality	generality	NOUN
fuelectenerg-13520	119	5	,	,	PUNCT
fuelectenerg-13520	119	6	ωr	ωr	NOUN
fuelectenerg-13520	119	7	can	can	AUX
fuelectenerg-13520	119	8	be	be	AUX
fuelectenerg-13520	119	9	set	set	VERB
fuelectenerg-13520	119	10	to	to	ADP
fuelectenerg-13520	119	11	one	one	NUM
fuelectenerg-13520	119	12	,	,	PUNCT
fuelectenerg-13520	119	13	ensuring	ensure	VERB
fuelectenerg-13520	119	14	that	that	SCONJ
fuelectenerg-13520	119	15	cn	cn	PROPN
fuelectenerg-13520	119	16	,	,	PUNCT
fuelectenerg-13520	119	17	m(1	m(1	PROPN
fuelectenerg-13520	119	18	)	)	PUNCT
fuelectenerg-13520	120	1	=	=	SYM
fuelectenerg-13520	121	1	1	1	X
fuelectenerg-13520	121	2	.	.	PUNCT
fuelectenerg-13520	122	1	the	the	DET
fuelectenerg-13520	122	2	multiple	multiple	ADJ
fuelectenerg-13520	122	3	pole	pole	NOUN
fuelectenerg-13520	122	4	pair	pair	NOUN
fuelectenerg-13520	122	5	of	of	ADP
fuelectenerg-13520	122	6	the	the	DET
fuelectenerg-13520	122	7	c	c	NOUN
fuelectenerg-13520	122	8	filtering	filtering	NOUN
fuelectenerg-13520	122	9	function	function	NOUN
fuelectenerg-13520	122	10	(	(	PUNCT
fuelectenerg-13520	122	11	2	2	X
fuelectenerg-13520	122	12	)	)	PUNCT
fuelectenerg-13520	122	13	is	be	AUX
fuelectenerg-13520	122	14	located	locate	VERB
fuelectenerg-13520	122	15	at	at	ADP
fuelectenerg-13520	122	16	an	an	DET
fuelectenerg-13520	122	17	out	out	ADV
fuelectenerg-13520	122	18	-	-	PUNCT
fuelectenerg-13520	122	19	of	of	ADP
fuelectenerg-13520	122	20	-	-	PUNCT
fuelectenerg-13520	122	21	band	band	NOUN
fuelectenerg-13520	122	22	frequency	frequency	NOUN
fuelectenerg-13520	122	23	,	,	PUNCT
fuelectenerg-13520	122	24	producing	produce	VERB
fuelectenerg-13520	122	25	a	a	DET
fuelectenerg-13520	122	26	lobe	lobe	NOUN
fuelectenerg-13520	122	27	.	.	PUNCT
fuelectenerg-13520	123	1	the	the	DET
fuelectenerg-13520	123	2	frequency	frequency	NOUN
fuelectenerg-13520	123	3	response	response	NOUN
fuelectenerg-13520	123	4	shows	show	VERB
fuelectenerg-13520	123	5	ωm	ωm	NOUN
fuelectenerg-13520	123	6	,	,	PUNCT
fuelectenerg-13520	123	7	where	where	SCONJ
fuelectenerg-13520	123	8	the	the	DET
fuelectenerg-13520	123	9	lobe	lobe	NOUN
fuelectenerg-13520	123	10	reaches	reach	VERB
fuelectenerg-13520	123	11	a	a	DET
fuelectenerg-13520	123	12	local	local	ADJ
fuelectenerg-13520	123	13	minimum	minimum	ADJ
fuelectenerg-13520	123	14	attenuation	attenuation	NOUN
fuelectenerg-13520	123	15	.	.	PUNCT
fuelectenerg-13520	124	1	by	by	ADP
fuelectenerg-13520	124	2	setting	set	VERB
fuelectenerg-13520	124	3	the	the	DET
fuelectenerg-13520	124	4	first	first	ADJ
fuelectenerg-13520	124	5	derivative	derivative	NOUN
fuelectenerg-13520	124	6	of	of	ADP
fuelectenerg-13520	124	7	(	(	PUNCT
fuelectenerg-13520	124	8	2	2	NUM
fuelectenerg-13520	124	9	)	)	PUNCT
fuelectenerg-13520	124	10	to	to	ADP
fuelectenerg-13520	124	11	zero	zero	NUM
fuelectenerg-13520	124	12	,	,	PUNCT
fuelectenerg-13520	124	13	the	the	DET
fuelectenerg-13520	124	14	frequency	frequency	NOUN
fuelectenerg-13520	124	15	ωm	ωm	PUNCT
fuelectenerg-13520	124	16	can	can	AUX
fuelectenerg-13520	124	17	be	be	AUX
fuelectenerg-13520	124	18	determined	determine	VERB
fuelectenerg-13520	124	19	in	in	ADP
fuelectenerg-13520	124	20	closed	closed	ADJ
fuelectenerg-13520	124	21	form	form	NOUN
fuelectenerg-13520	124	22	as	as	ADP
fuelectenerg-13520	124	23	:	:	PUNCT
fuelectenerg-13520	124	24	ωm	ωm	X
fuelectenerg-13520	124	25	=	=	SYM
fuelectenerg-13520	124	26	±	±	PROPN
fuelectenerg-13520	124	27			NOUN
fuelectenerg-13520	124	28	χ2	χ2	PROPN
fuelectenerg-13520	124	29	+	+	CCONJ
fuelectenerg-13520	125	1	2mχ	2mχ	ADJ
fuelectenerg-13520	125	2			PROPN
fuelectenerg-13520	125	3	χ2	χ2	NOUN
fuelectenerg-13520	125	4	−	−	PROPN
fuelectenerg-13520	125	5	1	1	NUM
fuelectenerg-13520	125	6	n−	n−	NOUN
fuelectenerg-13520	125	7	2	2	NUM
fuelectenerg-13520	125	8	m	m	NOUN
fuelectenerg-13520	125	9	,	,	PUNCT
fuelectenerg-13520	125	10	(	(	PUNCT
fuelectenerg-13520	125	11	3	3	X
fuelectenerg-13520	125	12	)	)	PUNCT
fuelectenerg-13520	125	13	where	where	SCONJ
fuelectenerg-13520	125	14	ωr	ωr	ADV
fuelectenerg-13520	125	15	=	=	SYM
fuelectenerg-13520	125	16	1	1	NUM
fuelectenerg-13520	125	17	.	.	PUNCT
fuelectenerg-13520	126	1	the	the	DET
fuelectenerg-13520	126	2	coefficient	coefficient	NOUN
fuelectenerg-13520	126	3	χ	χ	PRON
fuelectenerg-13520	126	4	serves	serve	VERB
fuelectenerg-13520	126	5	as	as	ADP
fuelectenerg-13520	126	6	a	a	DET
fuelectenerg-13520	126	7	degree	degree	NOUN
fuelectenerg-13520	126	8	of	of	ADP
fuelectenerg-13520	126	9	freedom	freedom	NOUN
fuelectenerg-13520	126	10	to	to	PART
fuelectenerg-13520	126	11	adjust	adjust	VERB
fuelectenerg-13520	126	12	the	the	DET
fuelectenerg-13520	126	13	minimum	minimum	NOUN
fuelectenerg-13520	126	14	out	out	ADP
fuelectenerg-13520	126	15	-	-	PUNCT
fuelectenerg-13520	126	16	of	of	ADP
fuelectenerg-13520	126	17	-	-	PUNCT
fuelectenerg-13520	126	18	band	band	NOUN
fuelectenerg-13520	126	19	insertion	insertion	NOUN
fuelectenerg-13520	126	20	loss	loss	NOUN
fuelectenerg-13520	126	21	level	level	NOUN
fuelectenerg-13520	126	22	(	(	PUNCT
fuelectenerg-13520	126	23	ils	ils	X
fuelectenerg-13520	126	24	in	in	ADP
fuelectenerg-13520	126	25	db	db	PROPN
fuelectenerg-13520	126	26	)	)	PUNCT
fuelectenerg-13520	126	27	.	.	PUNCT
fuelectenerg-13520	127	1	its	its	PRON
fuelectenerg-13520	127	2	value	value	NOUN
fuelectenerg-13520	127	3	is	be	AUX
fuelectenerg-13520	127	4	obtained	obtain	VERB
fuelectenerg-13520	127	5	by	by	ADP
fuelectenerg-13520	127	6	solving	solve	VERB
fuelectenerg-13520	127	7	the	the	DET
fuelectenerg-13520	127	8	equation	equation	NOUN
fuelectenerg-13520	127	9	εocn	εocn	NOUN
fuelectenerg-13520	127	10	,	,	PUNCT
fuelectenerg-13520	127	11	m(ωm	m(ωm	X
fuelectenerg-13520	127	12	)	)	PUNCT
fuelectenerg-13520	127	13	=	=	SYM
fuelectenerg-13520	127	14	amin	amin	NOUN
fuelectenerg-13520	127	15	,	,	PUNCT
fuelectenerg-13520	127	16	where	where	SCONJ
fuelectenerg-13520	127	17	amin	amin	NOUN
fuelectenerg-13520	127	18	=	=	NOUN
fuelectenerg-13520	127	19	√	√	PROPN
fuelectenerg-13520	127	20	10ils/10	10ils/10	NUM
fuelectenerg-13520	127	21	−	−	PROPN
fuelectenerg-13520	127	22	1	1	NUM
fuelectenerg-13520	127	23	.	.	PUNCT
fuelectenerg-13520	128	1	the	the	DET
fuelectenerg-13520	128	2	process	process	NOUN
fuelectenerg-13520	128	3	of	of	ADP
fuelectenerg-13520	128	4	determining	determine	VERB
fuelectenerg-13520	128	5	χ	χ	PRON
fuelectenerg-13520	128	6	such	such	ADJ
fuelectenerg-13520	128	7	that	that	SCONJ
fuelectenerg-13520	128	8	the	the	DET
fuelectenerg-13520	128	9	filtering	filter	VERB
fuelectenerg-13520	128	10	function	function	NOUN
fuelectenerg-13520	128	11	(	(	PUNCT
fuelectenerg-13520	128	12	2	2	X
fuelectenerg-13520	128	13	)	)	PUNCT
fuelectenerg-13520	128	14	produces	produce	VERB
fuelectenerg-13520	128	15	amin	amin	NOUN
fuelectenerg-13520	128	16	/	/	SYM
fuelectenerg-13520	128	17	εo	εo	NOUN
fuelectenerg-13520	128	18	at	at	ADP
fuelectenerg-13520	128	19	frequency	frequency	NOUN
fuelectenerg-13520	128	20	ωm	ωm	X
fuelectenerg-13520	128	21	is	be	AUX
fuelectenerg-13520	128	22	iterative	iterative	NOUN
fuelectenerg-13520	128	23	[	[	X
fuelectenerg-13520	128	24	15	15	NUM
fuelectenerg-13520	128	25	]	]	PUNCT
fuelectenerg-13520	128	26	.	.	PUNCT
fuelectenerg-13520	129	1	given	give	VERB
fuelectenerg-13520	129	2	specified	specify	VERB
fuelectenerg-13520	129	3	values	value	NOUN
fuelectenerg-13520	129	4	of	of	ADP
fuelectenerg-13520	129	5	n	n	PRON
fuelectenerg-13520	129	6	and	and	CCONJ
fuelectenerg-13520	129	7	m	m	PROPN
fuelectenerg-13520	129	8	,	,	PUNCT
fuelectenerg-13520	129	9	the	the	DET
fuelectenerg-13520	129	10	two	two	NUM
fuelectenerg-13520	129	11	unknowns	unknown	NOUN
fuelectenerg-13520	129	12	,	,	PUNCT
fuelectenerg-13520	129	13	χ	χ	NOUN
fuelectenerg-13520	129	14	and	and	CCONJ
fuelectenerg-13520	129	15	ωm	ωm	VERB
fuelectenerg-13520	129	16	,	,	PUNCT
fuelectenerg-13520	129	17	may	may	AUX
fuelectenerg-13520	129	18	be	be	AUX
fuelectenerg-13520	129	19	determined	determine	VERB
fuelectenerg-13520	129	20	numerically	numerically	ADV
fuelectenerg-13520	129	21	by	by	ADP
fuelectenerg-13520	129	22	solving	solve	VERB
fuelectenerg-13520	129	23	two	two	NUM
fuelectenerg-13520	129	24	nonlinear	nonlinear	ADJ
fuelectenerg-13520	129	25	equations	equation	NOUN
fuelectenerg-13520	129	26	.	.	PUNCT
fuelectenerg-13520	130	1	these	these	DET
fuelectenerg-13520	130	2	nonlinear	nonlinear	ADJ
fuelectenerg-13520	130	3	equations	equation	NOUN
fuelectenerg-13520	130	4	can	can	AUX
fuelectenerg-13520	130	5	be	be	AUX
fuelectenerg-13520	130	6	expressed	express	VERB
fuelectenerg-13520	130	7	as	as	ADP
fuelectenerg-13520	130	8	:	:	PUNCT
fuelectenerg-13520	130	9	f1(χ	f1(χ	PROPN
fuelectenerg-13520	130	10	,	,	PUNCT
fuelectenerg-13520	130	11	ωm	ωm	X
fuelectenerg-13520	130	12	)	)	PUNCT
fuelectenerg-13520	130	13	=	=	SYM
fuelectenerg-13520	130	14	χ2	χ2	PROPN
fuelectenerg-13520	130	15	+	+	CCONJ
fuelectenerg-13520	131	1	2mχ	2mχ	ADJ
fuelectenerg-13520	131	2			PROPN
fuelectenerg-13520	131	3	χ2	χ2	NOUN
fuelectenerg-13520	131	4	−	−	PROPN
fuelectenerg-13520	131	5	1	1	NUM
fuelectenerg-13520	131	6	n−	n−	PROPN
fuelectenerg-13520	131	7	2	2	NUM
fuelectenerg-13520	131	8	m	m	NOUN
fuelectenerg-13520	131	9	−	−	NOUN
fuelectenerg-13520	131	10	ω2	ω2	ADJ
fuelectenerg-13520	131	11	m	m	PROPN
fuelectenerg-13520	131	12	=	=	SYM
fuelectenerg-13520	131	13	0	0	NUM
fuelectenerg-13520	131	14	f2(χ	f2(χ	NOUN
fuelectenerg-13520	131	15	,	,	PUNCT
fuelectenerg-13520	131	16	ωm	ωm	X
fuelectenerg-13520	131	17	)	)	PUNCT
fuelectenerg-13520	131	18	=	=	SYM
fuelectenerg-13520	131	19	cn	cn	ADJ
fuelectenerg-13520	131	20	,	,	PUNCT
fuelectenerg-13520	131	21	m(ωm	m(ωm	X
fuelectenerg-13520	131	22	)	)	PUNCT
fuelectenerg-13520	132	1	+	+	NUM
fuelectenerg-13520	132	2	amin	amin	NOUN
fuelectenerg-13520	132	3	εo	εo	NOUN
fuelectenerg-13520	132	4	=	=	SYM
fuelectenerg-13520	132	5	0	0	PROPN
fuelectenerg-13520	132	6	(	(	PUNCT
fuelectenerg-13520	132	7	4	4	X
fuelectenerg-13520	132	8	)	)	PUNCT
fuelectenerg-13520	132	9	the	the	DET
fuelectenerg-13520	132	10	newton	newton	PROPN
fuelectenerg-13520	132	11	-	-	PUNCT
fuelectenerg-13520	132	12	raphson	raphson	PROPN
fuelectenerg-13520	132	13	iterative	iterative	NOUN
fuelectenerg-13520	132	14	formula	formula	NOUN
fuelectenerg-13520	132	15	can	can	AUX
fuelectenerg-13520	132	16	be	be	AUX
fuelectenerg-13520	132	17	applied	apply	VERB
fuelectenerg-13520	132	18	to	to	PART
fuelectenerg-13520	132	19	solve	solve	VERB
fuelectenerg-13520	132	20	this	this	DET
fuelectenerg-13520	132	21	system	system	NOUN
fuelectenerg-13520	132	22	of	of	ADP
fuelectenerg-13520	132	23	nonlinear	nonlinear	ADJ
fuelectenerg-13520	132	24	equations	equation	NOUN
fuelectenerg-13520	132	25	.	.	PUNCT
fuelectenerg-13520	133	1	in	in	ADP
fuelectenerg-13520	133	2	kth	kth	PROPN
fuelectenerg-13520	133	3	iteration	iteration	NOUN
fuelectenerg-13520	133	4	,	,	PUNCT
fuelectenerg-13520	133	5	the	the	DET
fuelectenerg-13520	133	6	solution	solution	NOUN
fuelectenerg-13520	133	7	is	be	AUX
fuelectenerg-13520	133	8	given	give	VERB
fuelectenerg-13520	133	9	by	by	ADP
fuelectenerg-13520	133	10			PROPN
fuelectenerg-13520	133	11	χ(k+1	χ(k+1	NOUN
fuelectenerg-13520	133	12	)	)	PUNCT
fuelectenerg-13520	133	13	ω	ω	NOUN
fuelectenerg-13520	133	14	(	(	PUNCT
fuelectenerg-13520	133	15	k+1	k+1	NOUN
fuelectenerg-13520	133	16	)	)	PUNCT
fuelectenerg-13520	133	17	m	m	PROPN
fuelectenerg-13520	133	18			NOUN
fuelectenerg-13520	133	19	=	=	SYM
fuelectenerg-13520	133	20			PROPN
fuelectenerg-13520	133	21	χ(k	χ(k	PROPN
fuelectenerg-13520	133	22	)	)	PUNCT
fuelectenerg-13520	133	23	ω	ω	NOUN
fuelectenerg-13520	133	24	(	(	PUNCT
fuelectenerg-13520	133	25	k	k	NOUN
fuelectenerg-13520	133	26	)	)	PUNCT
fuelectenerg-13520	134	1	m	m	PROPN
fuelectenerg-13520	134	2			NOUN
fuelectenerg-13520	135	1	−	−	PROPN
fuelectenerg-13520	136	1			VERB
fuelectenerg-13520	136	2			NOUN
fuelectenerg-13520	136	3	∂f1(χ	∂f1(χ	NOUN
fuelectenerg-13520	136	4	(	(	PUNCT
fuelectenerg-13520	136	5	k	k	NOUN
fuelectenerg-13520	136	6	)	)	PUNCT
fuelectenerg-13520	136	7	,	,	PUNCT
fuelectenerg-13520	136	8	ω	ω	PROPN
fuelectenerg-13520	136	9	(	(	PUNCT
fuelectenerg-13520	136	10	k	k	NOUN
fuelectenerg-13520	136	11	)	)	PUNCT
fuelectenerg-13520	136	12	m	m	VERB
fuelectenerg-13520	136	13	)	)	PUNCT
fuelectenerg-13520	137	1	∂χ	∂χ	PROPN
fuelectenerg-13520	137	2	∂f1(χ	∂f1(χ	NOUN
fuelectenerg-13520	137	3	(	(	PUNCT
fuelectenerg-13520	137	4	k	k	NOUN
fuelectenerg-13520	137	5	)	)	PUNCT
fuelectenerg-13520	137	6	,	,	PUNCT
fuelectenerg-13520	137	7	ω	ω	PROPN
fuelectenerg-13520	137	8	(	(	PUNCT
fuelectenerg-13520	137	9	k	k	NOUN
fuelectenerg-13520	137	10	)	)	PUNCT
fuelectenerg-13520	137	11	m	m	NOUN
fuelectenerg-13520	137	12	)	)	PUNCT
fuelectenerg-13520	137	13	∂ωm	∂ωm	NOUN
fuelectenerg-13520	137	14	∂f2(χ	∂f2(χ	NOUN
fuelectenerg-13520	137	15	(	(	PUNCT
fuelectenerg-13520	137	16	k	k	PROPN
fuelectenerg-13520	137	17	)	)	PUNCT
fuelectenerg-13520	137	18	,	,	PUNCT
fuelectenerg-13520	137	19	ω	ω	PROPN
fuelectenerg-13520	137	20	(	(	PUNCT
fuelectenerg-13520	137	21	k	k	NOUN
fuelectenerg-13520	137	22	)	)	PUNCT
fuelectenerg-13520	137	23	m	m	VERB
fuelectenerg-13520	137	24	)	)	PUNCT
fuelectenerg-13520	138	1	∂χ	∂χ	PROPN
fuelectenerg-13520	138	2	∂f2(χ	∂f2(χ	NOUN
fuelectenerg-13520	138	3	(	(	PUNCT
fuelectenerg-13520	138	4	k	k	PROPN
fuelectenerg-13520	138	5	)	)	PUNCT
fuelectenerg-13520	138	6	,	,	PUNCT
fuelectenerg-13520	138	7	ω	ω	PROPN
fuelectenerg-13520	138	8	(	(	PUNCT
fuelectenerg-13520	138	9	k	k	NOUN
fuelectenerg-13520	138	10	)	)	PUNCT
fuelectenerg-13520	138	11	m	m	NOUN
fuelectenerg-13520	138	12	)	)	PUNCT
fuelectenerg-13520	138	13	∂ωm	∂ωm	NOUN
fuelectenerg-13520	138	14			PROPN
fuelectenerg-13520	138	15			VERB
fuelectenerg-13520	138	16	−1	−1	NOUN
fuelectenerg-13520	138	17	×	×	NOUN
fuelectenerg-13520	138	18			PROPN
fuelectenerg-13520	138	19	f1(χ	f1(χ	PROPN
fuelectenerg-13520	138	20	(	(	PUNCT
fuelectenerg-13520	138	21	k	k	NOUN
fuelectenerg-13520	138	22	)	)	PUNCT
fuelectenerg-13520	138	23	,	,	PUNCT
fuelectenerg-13520	138	24	ω	ω	PROPN
fuelectenerg-13520	138	25	(	(	PUNCT
fuelectenerg-13520	138	26	k	k	NOUN
fuelectenerg-13520	138	27	)	)	PUNCT
fuelectenerg-13520	138	28	m	m	NOUN
fuelectenerg-13520	138	29	)	)	PUNCT
fuelectenerg-13520	139	1	f2(χ	f2(χ	PROPN
fuelectenerg-13520	139	2	(	(	PUNCT
fuelectenerg-13520	139	3	k	k	NOUN
fuelectenerg-13520	139	4	)	)	PUNCT
fuelectenerg-13520	139	5	,	,	PUNCT
fuelectenerg-13520	139	6	ω	ω	PROPN
fuelectenerg-13520	139	7	(	(	PUNCT
fuelectenerg-13520	139	8	k	k	NOUN
fuelectenerg-13520	139	9	)	)	PUNCT
fuelectenerg-13520	139	10	m	m	PROPN
fuelectenerg-13520	139	11	)	)	PUNCT
fuelectenerg-13520	139	12			NOUN
fuelectenerg-13520	139	13	(	(	PUNCT
fuelectenerg-13520	139	14	5	5	NUM
fuelectenerg-13520	139	15	)	)	PUNCT
fuelectenerg-13520	139	16	the	the	DET
fuelectenerg-13520	139	17	initial	initial	ADJ
fuelectenerg-13520	139	18	value	value	NOUN
fuelectenerg-13520	139	19	χ(0	χ(0	NOUN
fuelectenerg-13520	139	20	)	)	PUNCT
fuelectenerg-13520	139	21	can	can	AUX
fuelectenerg-13520	139	22	be	be	AUX
fuelectenerg-13520	139	23	any	any	DET
fuelectenerg-13520	139	24	value	value	NOUN
fuelectenerg-13520	139	25	greater	great	ADJ
fuelectenerg-13520	139	26	than	than	ADP
fuelectenerg-13520	139	27	one	one	NUM
fuelectenerg-13520	139	28	,	,	PUNCT
fuelectenerg-13520	139	29	while	while	SCONJ
fuelectenerg-13520	139	30	ω	ω	PROPN
fuelectenerg-13520	139	31	(	(	PUNCT
fuelectenerg-13520	139	32	0	0	NUM
fuelectenerg-13520	139	33	)	)	PUNCT
fuelectenerg-13520	139	34	m	m	VERB
fuelectenerg-13520	139	35	is	be	AUX
fuelectenerg-13520	139	36	determined	determine	VERB
fuelectenerg-13520	139	37	by	by	ADP
fuelectenerg-13520	139	38	substituting	substitute	VERB
fuelectenerg-13520	139	39	χ(0	χ(0	NOUN
fuelectenerg-13520	139	40	)	)	PUNCT
fuelectenerg-13520	139	41	into	into	ADP
fuelectenerg-13520	139	42	f1(χ	f1(χ	PROPN
fuelectenerg-13520	139	43	(	(	PUNCT
fuelectenerg-13520	139	44	0	0	NUM
fuelectenerg-13520	139	45	)	)	PUNCT
fuelectenerg-13520	139	46	,	,	PUNCT
fuelectenerg-13520	139	47	ωm	ωm	X
fuelectenerg-13520	139	48	)	)	PUNCT
fuelectenerg-13520	139	49	.	.	PUNCT
fuelectenerg-13520	140	1	note	note	VERB
fuelectenerg-13520	140	2	that	that	SCONJ
fuelectenerg-13520	140	3	the	the	DET
fuelectenerg-13520	140	4	newton	newton	PROPN
fuelectenerg-13520	140	5	-	-	PUNCT
fuelectenerg-13520	140	6	raphson	raphson	NOUN
fuelectenerg-13520	140	7	method	method	NOUN
fuelectenerg-13520	140	8	is	be	AUX
fuelectenerg-13520	140	9	implemented	implement	VERB
fuelectenerg-13520	140	10	by	by	ADP
fuelectenerg-13520	140	11	the	the	DET
fuelectenerg-13520	140	12	mathematica	mathematica	PROPN
fuelectenerg-13520	140	13	’s	’s	PART
fuelectenerg-13520	140	14	built	build	VERB
fuelectenerg-13520	140	15	-	-	PUNCT
fuelectenerg-13520	140	16	in	in	ADP
fuelectenerg-13520	140	17	function	function	NOUN
fuelectenerg-13520	140	18	findroot	findroot	NOUN
fuelectenerg-13520	140	19	.	.	PUNCT
fuelectenerg-13520	141	1	this	this	DET
fuelectenerg-13520	141	2	procedure	procedure	NOUN
fuelectenerg-13520	141	3	can	can	AUX
fuelectenerg-13520	141	4	be	be	AUX
fuelectenerg-13520	141	5	applied	apply	VERB
fuelectenerg-13520	141	6	to	to	ADP
fuelectenerg-13520	141	7	filtering	filtering	NOUN
fuelectenerg-13520	141	8	functions	function	NOUN
fuelectenerg-13520	141	9	with	with	ADP
fuelectenerg-13520	141	10	an	an	DET
fuelectenerg-13520	141	11	arbitrary	arbitrary	ADJ
fuelectenerg-13520	141	12	passband	passband	NOUN
fuelectenerg-13520	141	13	ripple	ripple	NOUN
fuelectenerg-13520	141	14	.	.	PUNCT
fuelectenerg-13520	142	1	however	however	ADV
fuelectenerg-13520	142	2	,	,	PUNCT
fuelectenerg-13520	142	3	if	if	SCONJ
fuelectenerg-13520	142	4	εo	εo	ADJ
fuelectenerg-13520	142	5	is	be	AUX
fuelectenerg-13520	142	6	used	use	VERB
fuelectenerg-13520	142	7	to	to	PART
fuelectenerg-13520	142	8	calculate	calculate	VERB
fuelectenerg-13520	142	9	amin	amin	NOUN
fuelectenerg-13520	142	10	,	,	PUNCT
fuelectenerg-13520	142	11	then	then	ADV
fuelectenerg-13520	142	12	cn	cn	PROPN
fuelectenerg-13520	142	13	,	,	PUNCT
fuelectenerg-13520	142	14	m(ω	m(ω	PROPN
fuelectenerg-13520	142	15	)	)	PUNCT
fuelectenerg-13520	142	16	is	be	AUX
fuelectenerg-13520	142	17	considered	consider	VERB
fuelectenerg-13520	142	18	the	the	DET
fuelectenerg-13520	142	19	optimum	optimum	ADJ
fuelectenerg-13520	142	20	filtering	filtering	NOUN
fuelectenerg-13520	142	21	function	function	NOUN
fuelectenerg-13520	142	22	.	.	PUNCT
fuelectenerg-13520	143	1	2.2	2.2	NUM
fuelectenerg-13520	143	2	.	.	PUNCT
fuelectenerg-13520	143	3	rational	rational	ADJ
fuelectenerg-13520	143	4	polynomial	polynomial	ADJ
fuelectenerg-13520	143	5	derivation	derivation	NOUN
fuelectenerg-13520	143	6	once	once	SCONJ
fuelectenerg-13520	143	7	χ	χ	PROPN
fuelectenerg-13520	143	8	is	be	AUX
fuelectenerg-13520	143	9	determined	determine	VERB
fuelectenerg-13520	143	10	,	,	PUNCT
fuelectenerg-13520	143	11	the	the	DET
fuelectenerg-13520	143	12	rational	rational	ADJ
fuelectenerg-13520	143	13	polynomial	polynomial	NOUN
fuelectenerg-13520	143	14	must	must	AUX
fuelectenerg-13520	143	15	be	be	AUX
fuelectenerg-13520	143	16	derived	derive	VERB
fuelectenerg-13520	143	17	from	from	ADP
fuelectenerg-13520	143	18	the	the	DET
fuelectenerg-13520	143	19	transcendental	transcendental	ADJ
fuelectenerg-13520	143	20	form	form	NOUN
fuelectenerg-13520	143	21	of	of	ADP
fuelectenerg-13520	143	22	the	the	DET
fuelectenerg-13520	143	23	characteristic	characteristic	ADJ
fuelectenerg-13520	143	24	function	function	NOUN
fuelectenerg-13520	143	25	(	(	PUNCT
fuelectenerg-13520	143	26	2	2	NUM
fuelectenerg-13520	143	27	)	)	PUNCT
fuelectenerg-13520	143	28	to	to	PART
fuelectenerg-13520	143	29	obtain	obtain	VERB
fuelectenerg-13520	143	30	the	the	DET
fuelectenerg-13520	143	31	transfer	transfer	NOUN
fuelectenerg-13520	143	32	function	function	NOUN
fuelectenerg-13520	143	33	(	(	PUNCT
fuelectenerg-13520	143	34	1	1	NUM
fuelectenerg-13520	143	35	)	)	PUNCT
fuelectenerg-13520	143	36	.	.	PUNCT
fuelectenerg-13520	144	1	the	the	DET
fuelectenerg-13520	144	2	filtering	filter	VERB
fuelectenerg-13520	144	3	44	44	NUM
fuelectenerg-13520	144	4	n.	n.	NOUN
fuelectenerg-13520	144	5	stojanović	stojanović	PROPN
fuelectenerg-13520	144	6	,	,	PUNCT
fuelectenerg-13520	144	7	i.	i.	PROPN
fuelectenerg-13520	144	8	krstić	krstić	PROPN
fuelectenerg-13520	144	9	,	,	PUNCT
fuelectenerg-13520	144	10	n.	n.	PROPN
fuelectenerg-13520	144	11	stamenković	stamenković	VERB
fuelectenerg-13520	144	12	optimum	optimum	PROPN
fuelectenerg-13520	144	13	chebyshev	chebyshev	PROPN
fuelectenerg-13520	144	14	lowpass	lowpass	NOUN
fuelectenerg-13520	144	15	filter	filter	NOUN
fuelectenerg-13520	144	16	with	with	ADP
fuelectenerg-13520	144	17	a	a	DET
fuelectenerg-13520	144	18	pair	pair	NOUN
fuelectenerg-13520	144	19	of	of	ADP
fuelectenerg-13520	144	20	imaginary	imaginary	ADJ
fuelectenerg-13520	144	21	-	-	PUNCT
fuelectenerg-13520	144	22	axis	axis	NOUN
fuelectenerg-13520	144	23	zeros	zero	NOUN
fuelectenerg-13520	144	24	45	45	NUM
fuelectenerg-13520	144	25	102	102	NUM
fuelectenerg-13520	144	26	n.	n.	NOUN
fuelectenerg-13520	144	27	stojanović	stojanović	PROPN
fuelectenerg-13520	144	28	,	,	PUNCT
fuelectenerg-13520	144	29	i.	i.	PROPN
fuelectenerg-13520	144	30	krstić	krstić	PROPN
fuelectenerg-13520	144	31	,	,	PUNCT
fuelectenerg-13520	144	32	n.	n.	PROPN
fuelectenerg-13520	144	33	stamenković	stamenković	PROPN
fuelectenerg-13520	144	34	and	and	CCONJ
fuelectenerg-13520	144	35	χ	χ	PRON
fuelectenerg-13520	144	36	is	be	AUX
fuelectenerg-13520	144	37	a	a	DET
fuelectenerg-13520	144	38	dimensionless	dimensionless	ADJ
fuelectenerg-13520	144	39	coefficient	coefficient	NOUN
fuelectenerg-13520	144	40	.	.	PUNCT
fuelectenerg-13520	145	1	this	this	DET
fuelectenerg-13520	145	2	normalization	normalization	NOUN
fuelectenerg-13520	145	3	ensures	ensure	VERB
fuelectenerg-13520	145	4	that	that	SCONJ
fuelectenerg-13520	145	5	the	the	DET
fuelectenerg-13520	145	6	arguments	argument	NOUN
fuelectenerg-13520	145	7	of	of	ADP
fuelectenerg-13520	145	8	both	both	CCONJ
fuelectenerg-13520	145	9	hyperbolic	hyperbolic	ADJ
fuelectenerg-13520	145	10	functions	function	NOUN
fuelectenerg-13520	145	11	are	be	AUX
fuelectenerg-13520	145	12	also	also	ADV
fuelectenerg-13520	145	13	dimensionless	dimensionless	NOUN
fuelectenerg-13520	145	14	.	.	PUNCT
fuelectenerg-13520	146	1	in	in	ADP
fuelectenerg-13520	146	2	particular	particular	ADJ
fuelectenerg-13520	146	3	,	,	PUNCT
fuelectenerg-13520	146	4	if	if	SCONJ
fuelectenerg-13520	146	5	χ	χ	PRON
fuelectenerg-13520	146	6	approaches	approach	VERB
fuelectenerg-13520	146	7	infinity	infinity	NOUN
fuelectenerg-13520	146	8	or	or	CCONJ
fuelectenerg-13520	146	9	if	if	SCONJ
fuelectenerg-13520	146	10	m	m	VERB
fuelectenerg-13520	146	11	=	=	SYM
fuelectenerg-13520	146	12	0	0	NUM
fuelectenerg-13520	146	13	,	,	PUNCT
fuelectenerg-13520	146	14	then	then	ADV
fuelectenerg-13520	146	15	(	(	PUNCT
fuelectenerg-13520	146	16	2	2	X
fuelectenerg-13520	146	17	)	)	PUNCT
fuelectenerg-13520	146	18	reduces	reduce	VERB
fuelectenerg-13520	146	19	to	to	ADP
fuelectenerg-13520	146	20	the	the	DET
fuelectenerg-13520	146	21	filtering	filter	VERB
fuelectenerg-13520	146	22	function	function	NOUN
fuelectenerg-13520	146	23	c	c	PROPN
fuelectenerg-13520	146	24	of	of	ADP
fuelectenerg-13520	146	25	an	an	DET
fuelectenerg-13520	146	26	all	all	DET
fuelectenerg-13520	146	27	-	-	PUNCT
fuelectenerg-13520	146	28	pole	pole	NOUN
fuelectenerg-13520	146	29	filter	filter	NOUN
fuelectenerg-13520	146	30	.	.	PUNCT
fuelectenerg-13520	147	1	since	since	SCONJ
fuelectenerg-13520	147	2	εo	εo	NOUN
fuelectenerg-13520	147	3	is	be	AUX
fuelectenerg-13520	147	4	associated	associate	VERB
fuelectenerg-13520	147	5	with	with	ADP
fuelectenerg-13520	147	6	the	the	DET
fuelectenerg-13520	147	7	optimum	optimum	ADJ
fuelectenerg-13520	147	8	c	c	NOUN
fuelectenerg-13520	147	9	filter	filter	NOUN
fuelectenerg-13520	147	10	,	,	PUNCT
fuelectenerg-13520	147	11	the	the	DET
fuelectenerg-13520	147	12	function	function	NOUN
fuelectenerg-13520	147	13	εocn	εocn	NOUN
fuelectenerg-13520	147	14	,	,	PUNCT
fuelectenerg-13520	147	15	m(ω	m(ω	PROPN
fuelectenerg-13520	147	16	)	)	PUNCT
fuelectenerg-13520	147	17	represents	represent	VERB
fuelectenerg-13520	147	18	the	the	DET
fuelectenerg-13520	147	19	filtering	filter	VERB
fuelectenerg-13520	147	20	function	function	NOUN
fuelectenerg-13520	147	21	of	of	ADP
fuelectenerg-13520	147	22	the	the	DET
fuelectenerg-13520	147	23	rational	rational	ADJ
fuelectenerg-13520	147	24	optimum	optimum	NOUN
fuelectenerg-13520	147	25	c	c	NOUN
fuelectenerg-13520	147	26	filter	filter	NOUN
fuelectenerg-13520	147	27	.	.	PUNCT
fuelectenerg-13520	148	1	without	without	ADP
fuelectenerg-13520	148	2	loss	loss	NOUN
fuelectenerg-13520	148	3	of	of	ADP
fuelectenerg-13520	148	4	generality	generality	NOUN
fuelectenerg-13520	148	5	,	,	PUNCT
fuelectenerg-13520	148	6	ωr	ωr	NOUN
fuelectenerg-13520	148	7	can	can	AUX
fuelectenerg-13520	148	8	be	be	AUX
fuelectenerg-13520	148	9	set	set	VERB
fuelectenerg-13520	148	10	to	to	ADP
fuelectenerg-13520	148	11	one	one	NUM
fuelectenerg-13520	148	12	,	,	PUNCT
fuelectenerg-13520	148	13	ensuring	ensure	VERB
fuelectenerg-13520	148	14	that	that	SCONJ
fuelectenerg-13520	148	15	cn	cn	PROPN
fuelectenerg-13520	148	16	,	,	PUNCT
fuelectenerg-13520	148	17	m(1	m(1	PROPN
fuelectenerg-13520	148	18	)	)	PUNCT
fuelectenerg-13520	149	1	=	=	SYM
fuelectenerg-13520	150	1	1	1	X
fuelectenerg-13520	150	2	.	.	PUNCT
fuelectenerg-13520	151	1	the	the	DET
fuelectenerg-13520	151	2	multiple	multiple	ADJ
fuelectenerg-13520	151	3	pole	pole	NOUN
fuelectenerg-13520	151	4	pair	pair	NOUN
fuelectenerg-13520	151	5	of	of	ADP
fuelectenerg-13520	151	6	the	the	DET
fuelectenerg-13520	151	7	c	c	NOUN
fuelectenerg-13520	151	8	filtering	filtering	NOUN
fuelectenerg-13520	151	9	function	function	NOUN
fuelectenerg-13520	151	10	(	(	PUNCT
fuelectenerg-13520	151	11	2	2	X
fuelectenerg-13520	151	12	)	)	PUNCT
fuelectenerg-13520	151	13	is	be	AUX
fuelectenerg-13520	151	14	located	locate	VERB
fuelectenerg-13520	151	15	at	at	ADP
fuelectenerg-13520	151	16	an	an	DET
fuelectenerg-13520	151	17	out	out	ADV
fuelectenerg-13520	151	18	-	-	PUNCT
fuelectenerg-13520	151	19	of	of	ADP
fuelectenerg-13520	151	20	-	-	PUNCT
fuelectenerg-13520	151	21	band	band	NOUN
fuelectenerg-13520	151	22	frequency	frequency	NOUN
fuelectenerg-13520	151	23	,	,	PUNCT
fuelectenerg-13520	151	24	producing	produce	VERB
fuelectenerg-13520	151	25	a	a	DET
fuelectenerg-13520	151	26	lobe	lobe	NOUN
fuelectenerg-13520	151	27	.	.	PUNCT
fuelectenerg-13520	152	1	the	the	DET
fuelectenerg-13520	152	2	frequency	frequency	NOUN
fuelectenerg-13520	152	3	response	response	NOUN
fuelectenerg-13520	152	4	shows	show	VERB
fuelectenerg-13520	152	5	ωm	ωm	NOUN
fuelectenerg-13520	152	6	,	,	PUNCT
fuelectenerg-13520	152	7	where	where	SCONJ
fuelectenerg-13520	152	8	the	the	DET
fuelectenerg-13520	152	9	lobe	lobe	NOUN
fuelectenerg-13520	152	10	reaches	reach	VERB
fuelectenerg-13520	152	11	a	a	DET
fuelectenerg-13520	152	12	local	local	ADJ
fuelectenerg-13520	152	13	minimum	minimum	ADJ
fuelectenerg-13520	152	14	attenuation	attenuation	NOUN
fuelectenerg-13520	152	15	.	.	PUNCT
fuelectenerg-13520	153	1	by	by	ADP
fuelectenerg-13520	153	2	setting	set	VERB
fuelectenerg-13520	153	3	the	the	DET
fuelectenerg-13520	153	4	first	first	ADJ
fuelectenerg-13520	153	5	derivative	derivative	NOUN
fuelectenerg-13520	153	6	of	of	ADP
fuelectenerg-13520	153	7	(	(	PUNCT
fuelectenerg-13520	153	8	2	2	NUM
fuelectenerg-13520	153	9	)	)	PUNCT
fuelectenerg-13520	153	10	to	to	ADP
fuelectenerg-13520	153	11	zero	zero	NUM
fuelectenerg-13520	153	12	,	,	PUNCT
fuelectenerg-13520	153	13	the	the	DET
fuelectenerg-13520	153	14	frequency	frequency	NOUN
fuelectenerg-13520	153	15	ωm	ωm	PUNCT
fuelectenerg-13520	153	16	can	can	AUX
fuelectenerg-13520	153	17	be	be	AUX
fuelectenerg-13520	153	18	determined	determine	VERB
fuelectenerg-13520	153	19	in	in	ADP
fuelectenerg-13520	153	20	closed	closed	ADJ
fuelectenerg-13520	153	21	form	form	NOUN
fuelectenerg-13520	153	22	as	as	ADP
fuelectenerg-13520	153	23	:	:	PUNCT
fuelectenerg-13520	153	24	ωm	ωm	X
fuelectenerg-13520	153	25	=	=	SYM
fuelectenerg-13520	153	26	±	±	PROPN
fuelectenerg-13520	153	27			NOUN
fuelectenerg-13520	153	28	χ2	χ2	PROPN
fuelectenerg-13520	153	29	+	+	CCONJ
fuelectenerg-13520	154	1	2mχ	2mχ	ADJ
fuelectenerg-13520	154	2			PROPN
fuelectenerg-13520	154	3	χ2	χ2	NOUN
fuelectenerg-13520	154	4	−	−	PROPN
fuelectenerg-13520	154	5	1	1	NUM
fuelectenerg-13520	154	6	n−	n−	NOUN
fuelectenerg-13520	154	7	2	2	NUM
fuelectenerg-13520	154	8	m	m	NOUN
fuelectenerg-13520	154	9	,	,	PUNCT
fuelectenerg-13520	154	10	(	(	PUNCT
fuelectenerg-13520	154	11	3	3	X
fuelectenerg-13520	154	12	)	)	PUNCT
fuelectenerg-13520	154	13	where	where	SCONJ
fuelectenerg-13520	154	14	ωr	ωr	ADV
fuelectenerg-13520	154	15	=	=	SYM
fuelectenerg-13520	154	16	1	1	NUM
fuelectenerg-13520	154	17	.	.	PUNCT
fuelectenerg-13520	155	1	the	the	DET
fuelectenerg-13520	155	2	coefficient	coefficient	NOUN
fuelectenerg-13520	155	3	χ	χ	PRON
fuelectenerg-13520	155	4	serves	serve	VERB
fuelectenerg-13520	155	5	as	as	ADP
fuelectenerg-13520	155	6	a	a	DET
fuelectenerg-13520	155	7	degree	degree	NOUN
fuelectenerg-13520	155	8	of	of	ADP
fuelectenerg-13520	155	9	freedom	freedom	NOUN
fuelectenerg-13520	155	10	to	to	PART
fuelectenerg-13520	155	11	adjust	adjust	VERB
fuelectenerg-13520	155	12	the	the	DET
fuelectenerg-13520	155	13	minimum	minimum	NOUN
fuelectenerg-13520	155	14	out	out	ADP
fuelectenerg-13520	155	15	-	-	PUNCT
fuelectenerg-13520	155	16	of	of	ADP
fuelectenerg-13520	155	17	-	-	PUNCT
fuelectenerg-13520	155	18	band	band	NOUN
fuelectenerg-13520	155	19	insertion	insertion	NOUN
fuelectenerg-13520	155	20	loss	loss	NOUN
fuelectenerg-13520	155	21	level	level	NOUN
fuelectenerg-13520	155	22	(	(	PUNCT
fuelectenerg-13520	155	23	ils	ils	X
fuelectenerg-13520	155	24	in	in	ADP
fuelectenerg-13520	155	25	db	db	PROPN
fuelectenerg-13520	155	26	)	)	PUNCT
fuelectenerg-13520	155	27	.	.	PUNCT
fuelectenerg-13520	156	1	its	its	PRON
fuelectenerg-13520	156	2	value	value	NOUN
fuelectenerg-13520	156	3	is	be	AUX
fuelectenerg-13520	156	4	obtained	obtain	VERB
fuelectenerg-13520	156	5	by	by	ADP
fuelectenerg-13520	156	6	solving	solve	VERB
fuelectenerg-13520	156	7	the	the	DET
fuelectenerg-13520	156	8	equation	equation	NOUN
fuelectenerg-13520	156	9	εocn	εocn	NOUN
fuelectenerg-13520	156	10	,	,	PUNCT
fuelectenerg-13520	156	11	m(ωm	m(ωm	X
fuelectenerg-13520	156	12	)	)	PUNCT
fuelectenerg-13520	156	13	=	=	SYM
fuelectenerg-13520	156	14	amin	amin	NOUN
fuelectenerg-13520	156	15	,	,	PUNCT
fuelectenerg-13520	156	16	where	where	SCONJ
fuelectenerg-13520	156	17	amin	amin	NOUN
fuelectenerg-13520	156	18	=	=	NOUN
fuelectenerg-13520	156	19	√	√	PROPN
fuelectenerg-13520	156	20	10ils/10	10ils/10	NUM
fuelectenerg-13520	156	21	−	−	PROPN
fuelectenerg-13520	156	22	1	1	NUM
fuelectenerg-13520	156	23	.	.	PUNCT
fuelectenerg-13520	157	1	the	the	DET
fuelectenerg-13520	157	2	process	process	NOUN
fuelectenerg-13520	157	3	of	of	ADP
fuelectenerg-13520	157	4	determining	determine	VERB
fuelectenerg-13520	157	5	χ	χ	PRON
fuelectenerg-13520	157	6	such	such	ADJ
fuelectenerg-13520	157	7	that	that	SCONJ
fuelectenerg-13520	157	8	the	the	DET
fuelectenerg-13520	157	9	filtering	filter	VERB
fuelectenerg-13520	157	10	function	function	NOUN
fuelectenerg-13520	157	11	(	(	PUNCT
fuelectenerg-13520	157	12	2	2	X
fuelectenerg-13520	157	13	)	)	PUNCT
fuelectenerg-13520	157	14	produces	produce	VERB
fuelectenerg-13520	157	15	amin	amin	NOUN
fuelectenerg-13520	157	16	/	/	SYM
fuelectenerg-13520	157	17	εo	εo	NOUN
fuelectenerg-13520	157	18	at	at	ADP
fuelectenerg-13520	157	19	frequency	frequency	NOUN
fuelectenerg-13520	157	20	ωm	ωm	X
fuelectenerg-13520	157	21	is	be	AUX
fuelectenerg-13520	157	22	iterative	iterative	NOUN
fuelectenerg-13520	157	23	[	[	X
fuelectenerg-13520	157	24	15	15	NUM
fuelectenerg-13520	157	25	]	]	PUNCT
fuelectenerg-13520	157	26	.	.	PUNCT
fuelectenerg-13520	158	1	given	give	VERB
fuelectenerg-13520	158	2	specified	specify	VERB
fuelectenerg-13520	158	3	values	value	NOUN
fuelectenerg-13520	158	4	of	of	ADP
fuelectenerg-13520	158	5	n	n	PRON
fuelectenerg-13520	158	6	and	and	CCONJ
fuelectenerg-13520	158	7	m	m	PROPN
fuelectenerg-13520	158	8	,	,	PUNCT
fuelectenerg-13520	158	9	the	the	DET
fuelectenerg-13520	158	10	two	two	NUM
fuelectenerg-13520	158	11	unknowns	unknown	NOUN
fuelectenerg-13520	158	12	,	,	PUNCT
fuelectenerg-13520	158	13	χ	χ	NOUN
fuelectenerg-13520	158	14	and	and	CCONJ
fuelectenerg-13520	158	15	ωm	ωm	VERB
fuelectenerg-13520	158	16	,	,	PUNCT
fuelectenerg-13520	158	17	may	may	AUX
fuelectenerg-13520	158	18	be	be	AUX
fuelectenerg-13520	158	19	determined	determine	VERB
fuelectenerg-13520	158	20	numerically	numerically	ADV
fuelectenerg-13520	158	21	by	by	ADP
fuelectenerg-13520	158	22	solving	solve	VERB
fuelectenerg-13520	158	23	two	two	NUM
fuelectenerg-13520	158	24	nonlinear	nonlinear	ADJ
fuelectenerg-13520	158	25	equations	equation	NOUN
fuelectenerg-13520	158	26	.	.	PUNCT
fuelectenerg-13520	159	1	these	these	DET
fuelectenerg-13520	159	2	nonlinear	nonlinear	ADJ
fuelectenerg-13520	159	3	equations	equation	NOUN
fuelectenerg-13520	159	4	can	can	AUX
fuelectenerg-13520	159	5	be	be	AUX
fuelectenerg-13520	159	6	expressed	express	VERB
fuelectenerg-13520	159	7	as	as	ADP
fuelectenerg-13520	159	8	:	:	PUNCT
fuelectenerg-13520	159	9	f1(χ	f1(χ	PROPN
fuelectenerg-13520	159	10	,	,	PUNCT
fuelectenerg-13520	159	11	ωm	ωm	X
fuelectenerg-13520	159	12	)	)	PUNCT
fuelectenerg-13520	159	13	=	=	SYM
fuelectenerg-13520	159	14	χ2	χ2	PROPN
fuelectenerg-13520	159	15	+	+	CCONJ
fuelectenerg-13520	160	1	2mχ	2mχ	ADJ
fuelectenerg-13520	160	2			PROPN
fuelectenerg-13520	160	3	χ2	χ2	NOUN
fuelectenerg-13520	160	4	−	−	PROPN
fuelectenerg-13520	160	5	1	1	NUM
fuelectenerg-13520	160	6	n−	n−	PROPN
fuelectenerg-13520	160	7	2	2	NUM
fuelectenerg-13520	160	8	m	m	NOUN
fuelectenerg-13520	160	9	−	−	NOUN
fuelectenerg-13520	160	10	ω2	ω2	ADJ
fuelectenerg-13520	160	11	m	m	PROPN
fuelectenerg-13520	160	12	=	=	SYM
fuelectenerg-13520	160	13	0	0	NUM
fuelectenerg-13520	160	14	f2(χ	f2(χ	NOUN
fuelectenerg-13520	160	15	,	,	PUNCT
fuelectenerg-13520	160	16	ωm	ωm	X
fuelectenerg-13520	160	17	)	)	PUNCT
fuelectenerg-13520	160	18	=	=	SYM
fuelectenerg-13520	160	19	cn	cn	ADJ
fuelectenerg-13520	160	20	,	,	PUNCT
fuelectenerg-13520	160	21	m(ωm	m(ωm	X
fuelectenerg-13520	160	22	)	)	PUNCT
fuelectenerg-13520	161	1	+	+	NUM
fuelectenerg-13520	161	2	amin	amin	NOUN
fuelectenerg-13520	161	3	εo	εo	NOUN
fuelectenerg-13520	161	4	=	=	SYM
fuelectenerg-13520	161	5	0	0	PROPN
fuelectenerg-13520	161	6	(	(	PUNCT
fuelectenerg-13520	161	7	4	4	X
fuelectenerg-13520	161	8	)	)	PUNCT
fuelectenerg-13520	161	9	the	the	DET
fuelectenerg-13520	161	10	newton	newton	PROPN
fuelectenerg-13520	161	11	-	-	PUNCT
fuelectenerg-13520	161	12	raphson	raphson	PROPN
fuelectenerg-13520	161	13	iterative	iterative	NOUN
fuelectenerg-13520	161	14	formula	formula	NOUN
fuelectenerg-13520	161	15	can	can	AUX
fuelectenerg-13520	161	16	be	be	AUX
fuelectenerg-13520	161	17	applied	apply	VERB
fuelectenerg-13520	161	18	to	to	PART
fuelectenerg-13520	161	19	solve	solve	VERB
fuelectenerg-13520	161	20	this	this	DET
fuelectenerg-13520	161	21	system	system	NOUN
fuelectenerg-13520	161	22	of	of	ADP
fuelectenerg-13520	161	23	nonlinear	nonlinear	ADJ
fuelectenerg-13520	161	24	equations	equation	NOUN
fuelectenerg-13520	161	25	.	.	PUNCT
fuelectenerg-13520	162	1	in	in	ADP
fuelectenerg-13520	162	2	kth	kth	PROPN
fuelectenerg-13520	162	3	iteration	iteration	NOUN
fuelectenerg-13520	162	4	,	,	PUNCT
fuelectenerg-13520	162	5	the	the	DET
fuelectenerg-13520	162	6	solution	solution	NOUN
fuelectenerg-13520	162	7	is	be	AUX
fuelectenerg-13520	162	8	given	give	VERB
fuelectenerg-13520	162	9	by	by	ADP
fuelectenerg-13520	162	10			PROPN
fuelectenerg-13520	162	11	χ(k+1	χ(k+1	NOUN
fuelectenerg-13520	162	12	)	)	PUNCT
fuelectenerg-13520	162	13	ω	ω	NOUN
fuelectenerg-13520	162	14	(	(	PUNCT
fuelectenerg-13520	162	15	k+1	k+1	NOUN
fuelectenerg-13520	162	16	)	)	PUNCT
fuelectenerg-13520	162	17	m	m	PROPN
fuelectenerg-13520	162	18			NOUN
fuelectenerg-13520	162	19	=	=	SYM
fuelectenerg-13520	162	20			PROPN
fuelectenerg-13520	162	21	χ(k	χ(k	PROPN
fuelectenerg-13520	162	22	)	)	PUNCT
fuelectenerg-13520	162	23	ω	ω	NOUN
fuelectenerg-13520	162	24	(	(	PUNCT
fuelectenerg-13520	162	25	k	k	NOUN
fuelectenerg-13520	162	26	)	)	PUNCT
fuelectenerg-13520	163	1	m	m	PROPN
fuelectenerg-13520	163	2			NOUN
fuelectenerg-13520	164	1	−	−	PROPN
fuelectenerg-13520	165	1			VERB
fuelectenerg-13520	165	2			NOUN
fuelectenerg-13520	165	3	∂f1(χ	∂f1(χ	NOUN
fuelectenerg-13520	165	4	(	(	PUNCT
fuelectenerg-13520	165	5	k	k	NOUN
fuelectenerg-13520	165	6	)	)	PUNCT
fuelectenerg-13520	165	7	,	,	PUNCT
fuelectenerg-13520	165	8	ω	ω	PROPN
fuelectenerg-13520	165	9	(	(	PUNCT
fuelectenerg-13520	165	10	k	k	NOUN
fuelectenerg-13520	165	11	)	)	PUNCT
fuelectenerg-13520	165	12	m	m	VERB
fuelectenerg-13520	165	13	)	)	PUNCT
fuelectenerg-13520	166	1	∂χ	∂χ	PROPN
fuelectenerg-13520	166	2	∂f1(χ	∂f1(χ	NOUN
fuelectenerg-13520	166	3	(	(	PUNCT
fuelectenerg-13520	166	4	k	k	NOUN
fuelectenerg-13520	166	5	)	)	PUNCT
fuelectenerg-13520	166	6	,	,	PUNCT
fuelectenerg-13520	166	7	ω	ω	PROPN
fuelectenerg-13520	166	8	(	(	PUNCT
fuelectenerg-13520	166	9	k	k	NOUN
fuelectenerg-13520	166	10	)	)	PUNCT
fuelectenerg-13520	166	11	m	m	NOUN
fuelectenerg-13520	166	12	)	)	PUNCT
fuelectenerg-13520	166	13	∂ωm	∂ωm	NOUN
fuelectenerg-13520	166	14	∂f2(χ	∂f2(χ	NOUN
fuelectenerg-13520	166	15	(	(	PUNCT
fuelectenerg-13520	166	16	k	k	PROPN
fuelectenerg-13520	166	17	)	)	PUNCT
fuelectenerg-13520	166	18	,	,	PUNCT
fuelectenerg-13520	166	19	ω	ω	PROPN
fuelectenerg-13520	166	20	(	(	PUNCT
fuelectenerg-13520	166	21	k	k	NOUN
fuelectenerg-13520	166	22	)	)	PUNCT
fuelectenerg-13520	166	23	m	m	VERB
fuelectenerg-13520	166	24	)	)	PUNCT
fuelectenerg-13520	167	1	∂χ	∂χ	PROPN
fuelectenerg-13520	167	2	∂f2(χ	∂f2(χ	NOUN
fuelectenerg-13520	167	3	(	(	PUNCT
fuelectenerg-13520	167	4	k	k	PROPN
fuelectenerg-13520	167	5	)	)	PUNCT
fuelectenerg-13520	167	6	,	,	PUNCT
fuelectenerg-13520	167	7	ω	ω	PROPN
fuelectenerg-13520	167	8	(	(	PUNCT
fuelectenerg-13520	167	9	k	k	NOUN
fuelectenerg-13520	167	10	)	)	PUNCT
fuelectenerg-13520	167	11	m	m	NOUN
fuelectenerg-13520	167	12	)	)	PUNCT
fuelectenerg-13520	167	13	∂ωm	∂ωm	NOUN
fuelectenerg-13520	167	14			PROPN
fuelectenerg-13520	167	15			VERB
fuelectenerg-13520	167	16	−1	−1	NOUN
fuelectenerg-13520	167	17	×	×	NOUN
fuelectenerg-13520	167	18			PROPN
fuelectenerg-13520	167	19	f1(χ	f1(χ	PROPN
fuelectenerg-13520	167	20	(	(	PUNCT
fuelectenerg-13520	167	21	k	k	NOUN
fuelectenerg-13520	167	22	)	)	PUNCT
fuelectenerg-13520	167	23	,	,	PUNCT
fuelectenerg-13520	167	24	ω	ω	PROPN
fuelectenerg-13520	167	25	(	(	PUNCT
fuelectenerg-13520	167	26	k	k	NOUN
fuelectenerg-13520	167	27	)	)	PUNCT
fuelectenerg-13520	167	28	m	m	NOUN
fuelectenerg-13520	167	29	)	)	PUNCT
fuelectenerg-13520	168	1	f2(χ	f2(χ	PROPN
fuelectenerg-13520	168	2	(	(	PUNCT
fuelectenerg-13520	168	3	k	k	NOUN
fuelectenerg-13520	168	4	)	)	PUNCT
fuelectenerg-13520	168	5	,	,	PUNCT
fuelectenerg-13520	168	6	ω	ω	PROPN
fuelectenerg-13520	168	7	(	(	PUNCT
fuelectenerg-13520	168	8	k	k	NOUN
fuelectenerg-13520	168	9	)	)	PUNCT
fuelectenerg-13520	168	10	m	m	PROPN
fuelectenerg-13520	168	11	)	)	PUNCT
fuelectenerg-13520	168	12			NOUN
fuelectenerg-13520	168	13	(	(	PUNCT
fuelectenerg-13520	168	14	5	5	NUM
fuelectenerg-13520	168	15	)	)	PUNCT
fuelectenerg-13520	168	16	the	the	DET
fuelectenerg-13520	168	17	initial	initial	ADJ
fuelectenerg-13520	168	18	value	value	NOUN
fuelectenerg-13520	168	19	χ(0	χ(0	NOUN
fuelectenerg-13520	168	20	)	)	PUNCT
fuelectenerg-13520	168	21	can	can	AUX
fuelectenerg-13520	168	22	be	be	AUX
fuelectenerg-13520	168	23	any	any	DET
fuelectenerg-13520	168	24	value	value	NOUN
fuelectenerg-13520	168	25	greater	great	ADJ
fuelectenerg-13520	168	26	than	than	ADP
fuelectenerg-13520	168	27	one	one	NUM
fuelectenerg-13520	168	28	,	,	PUNCT
fuelectenerg-13520	168	29	while	while	SCONJ
fuelectenerg-13520	168	30	ω	ω	PROPN
fuelectenerg-13520	168	31	(	(	PUNCT
fuelectenerg-13520	168	32	0	0	NUM
fuelectenerg-13520	168	33	)	)	PUNCT
fuelectenerg-13520	168	34	m	m	VERB
fuelectenerg-13520	168	35	is	be	AUX
fuelectenerg-13520	168	36	determined	determine	VERB
fuelectenerg-13520	168	37	by	by	ADP
fuelectenerg-13520	168	38	substituting	substitute	VERB
fuelectenerg-13520	168	39	χ(0	χ(0	NOUN
fuelectenerg-13520	168	40	)	)	PUNCT
fuelectenerg-13520	168	41	into	into	ADP
fuelectenerg-13520	168	42	f1(χ	f1(χ	PROPN
fuelectenerg-13520	168	43	(	(	PUNCT
fuelectenerg-13520	168	44	0	0	NUM
fuelectenerg-13520	168	45	)	)	PUNCT
fuelectenerg-13520	168	46	,	,	PUNCT
fuelectenerg-13520	168	47	ωm	ωm	X
fuelectenerg-13520	168	48	)	)	PUNCT
fuelectenerg-13520	168	49	.	.	PUNCT
fuelectenerg-13520	169	1	note	note	VERB
fuelectenerg-13520	169	2	that	that	SCONJ
fuelectenerg-13520	169	3	the	the	DET
fuelectenerg-13520	169	4	newton	newton	PROPN
fuelectenerg-13520	169	5	-	-	PUNCT
fuelectenerg-13520	169	6	raphson	raphson	NOUN
fuelectenerg-13520	169	7	method	method	NOUN
fuelectenerg-13520	169	8	is	be	AUX
fuelectenerg-13520	169	9	implemented	implement	VERB
fuelectenerg-13520	169	10	by	by	ADP
fuelectenerg-13520	169	11	the	the	DET
fuelectenerg-13520	169	12	mathematica	mathematica	PROPN
fuelectenerg-13520	169	13	’s	’s	PART
fuelectenerg-13520	169	14	built	build	VERB
fuelectenerg-13520	169	15	-	-	PUNCT
fuelectenerg-13520	169	16	in	in	ADP
fuelectenerg-13520	169	17	function	function	NOUN
fuelectenerg-13520	169	18	findroot	findroot	NOUN
fuelectenerg-13520	169	19	.	.	PUNCT
fuelectenerg-13520	170	1	this	this	DET
fuelectenerg-13520	170	2	procedure	procedure	NOUN
fuelectenerg-13520	170	3	can	can	AUX
fuelectenerg-13520	170	4	be	be	AUX
fuelectenerg-13520	170	5	applied	apply	VERB
fuelectenerg-13520	170	6	to	to	ADP
fuelectenerg-13520	170	7	filtering	filtering	NOUN
fuelectenerg-13520	170	8	functions	function	NOUN
fuelectenerg-13520	170	9	with	with	ADP
fuelectenerg-13520	170	10	an	an	DET
fuelectenerg-13520	170	11	arbitrary	arbitrary	ADJ
fuelectenerg-13520	170	12	passband	passband	NOUN
fuelectenerg-13520	170	13	ripple	ripple	NOUN
fuelectenerg-13520	170	14	.	.	PUNCT
fuelectenerg-13520	171	1	however	however	ADV
fuelectenerg-13520	171	2	,	,	PUNCT
fuelectenerg-13520	171	3	if	if	SCONJ
fuelectenerg-13520	171	4	εo	εo	ADJ
fuelectenerg-13520	171	5	is	be	AUX
fuelectenerg-13520	171	6	used	use	VERB
fuelectenerg-13520	171	7	to	to	PART
fuelectenerg-13520	171	8	calculate	calculate	VERB
fuelectenerg-13520	171	9	amin	amin	NOUN
fuelectenerg-13520	171	10	,	,	PUNCT
fuelectenerg-13520	171	11	then	then	ADV
fuelectenerg-13520	171	12	cn	cn	PROPN
fuelectenerg-13520	171	13	,	,	PUNCT
fuelectenerg-13520	171	14	m(ω	m(ω	PROPN
fuelectenerg-13520	171	15	)	)	PUNCT
fuelectenerg-13520	171	16	is	be	AUX
fuelectenerg-13520	171	17	considered	consider	VERB
fuelectenerg-13520	171	18	the	the	DET
fuelectenerg-13520	171	19	optimum	optimum	ADJ
fuelectenerg-13520	171	20	filtering	filtering	NOUN
fuelectenerg-13520	171	21	function	function	NOUN
fuelectenerg-13520	171	22	.	.	PUNCT
fuelectenerg-13520	172	1	2.2	2.2	NUM
fuelectenerg-13520	172	2	.	.	PUNCT
fuelectenerg-13520	172	3	rational	rational	ADJ
fuelectenerg-13520	172	4	polynomial	polynomial	ADJ
fuelectenerg-13520	172	5	derivation	derivation	NOUN
fuelectenerg-13520	172	6	once	once	SCONJ
fuelectenerg-13520	172	7	χ	χ	PROPN
fuelectenerg-13520	172	8	is	be	AUX
fuelectenerg-13520	172	9	determined	determine	VERB
fuelectenerg-13520	172	10	,	,	PUNCT
fuelectenerg-13520	172	11	the	the	DET
fuelectenerg-13520	172	12	rational	rational	ADJ
fuelectenerg-13520	172	13	polynomial	polynomial	NOUN
fuelectenerg-13520	172	14	must	must	AUX
fuelectenerg-13520	172	15	be	be	AUX
fuelectenerg-13520	172	16	derived	derive	VERB
fuelectenerg-13520	172	17	from	from	ADP
fuelectenerg-13520	172	18	the	the	DET
fuelectenerg-13520	172	19	transcendental	transcendental	ADJ
fuelectenerg-13520	172	20	form	form	NOUN
fuelectenerg-13520	172	21	of	of	ADP
fuelectenerg-13520	172	22	the	the	DET
fuelectenerg-13520	172	23	characteristic	characteristic	ADJ
fuelectenerg-13520	172	24	function	function	NOUN
fuelectenerg-13520	172	25	(	(	PUNCT
fuelectenerg-13520	172	26	2	2	NUM
fuelectenerg-13520	172	27	)	)	PUNCT
fuelectenerg-13520	172	28	to	to	PART
fuelectenerg-13520	172	29	obtain	obtain	VERB
fuelectenerg-13520	172	30	the	the	DET
fuelectenerg-13520	172	31	transfer	transfer	NOUN
fuelectenerg-13520	172	32	function	function	NOUN
fuelectenerg-13520	172	33	(	(	PUNCT
fuelectenerg-13520	172	34	1	1	NUM
fuelectenerg-13520	172	35	)	)	PUNCT
fuelectenerg-13520	172	36	.	.	PUNCT
fuelectenerg-13520	173	1	the	the	DET
fuelectenerg-13520	173	2	filtering	filter	VERB
fuelectenerg-13520	173	3	optimum	optimum	ADJ
fuelectenerg-13520	173	4	chebyshev	chebyshev	NOUN
fuelectenerg-13520	173	5	lowpass	lowpass	NOUN
fuelectenerg-13520	173	6	filter	filter	NOUN
fuelectenerg-13520	173	7	with	with	ADP
fuelectenerg-13520	173	8	a	a	DET
fuelectenerg-13520	173	9	pair	pair	NOUN
fuelectenerg-13520	173	10	of	of	ADP
fuelectenerg-13520	173	11	imaginary	imaginary	ADJ
fuelectenerg-13520	173	12	-	-	PUNCT
fuelectenerg-13520	173	13	axis	axis	NOUN
fuelectenerg-13520	173	14	zeros	zero	NOUN
fuelectenerg-13520	173	15	103	103	NUM
fuelectenerg-13520	173	16	function	function	NOUN
fuelectenerg-13520	173	17	can	can	AUX
fuelectenerg-13520	173	18	be	be	AUX
fuelectenerg-13520	173	19	simplified	simplify	VERB
fuelectenerg-13520	173	20	using	use	VERB
fuelectenerg-13520	173	21	the	the	DET
fuelectenerg-13520	173	22	hyperbolic	hyperbolic	ADJ
fuelectenerg-13520	173	23	addition	addition	NOUN
fuelectenerg-13520	173	24	formula	formula	NOUN
fuelectenerg-13520	173	25	:	:	PUNCT
fuelectenerg-13520	173	26	acosh(α)+acosh(ᾱ	acosh(α)+acosh(ᾱ	NOUN
fuelectenerg-13520	173	27	)	)	PUNCT
fuelectenerg-13520	174	1	=	=	SYM
fuelectenerg-13520	174	2	acosh(γ	acosh(γ	PROPN
fuelectenerg-13520	174	3	)	)	PUNCT
fuelectenerg-13520	174	4	,	,	PUNCT
fuelectenerg-13520	174	5	where	where	SCONJ
fuelectenerg-13520	174	6	α	α	NOUN
fuelectenerg-13520	174	7	and	and	CCONJ
fuelectenerg-13520	174	8	ᾱ	ᾱ	NOUN
fuelectenerg-13520	174	9	are	be	AUX
fuelectenerg-13520	174	10	defined	define	VERB
fuelectenerg-13520	174	11	in	in	ADP
fuelectenerg-13520	174	12	equation	equation	NOUN
fuelectenerg-13520	174	13	(	(	PUNCT
fuelectenerg-13520	174	14	2	2	NUM
fuelectenerg-13520	174	15	)	)	PUNCT
fuelectenerg-13520	174	16	,	,	PUNCT
fuelectenerg-13520	174	17	and	and	CCONJ
fuelectenerg-13520	174	18	γ	γ	X
fuelectenerg-13520	174	19	is	be	AUX
fuelectenerg-13520	174	20	given	give	VERB
fuelectenerg-13520	174	21	by	by	ADP
fuelectenerg-13520	174	22	γ	γ	NOUN
fuelectenerg-13520	174	23	=	=	SYM
fuelectenerg-13520	174	24	αᾱ+	αᾱ+	VERB
fuelectenerg-13520	174	25	√	√	NUM
fuelectenerg-13520	174	26	(	(	PUNCT
fuelectenerg-13520	174	27	α2	α2	ADJ
fuelectenerg-13520	174	28	−	−	PROPN
fuelectenerg-13520	174	29	1)(ᾱ2	1)(ᾱ2	NUM
fuelectenerg-13520	174	30	−	−	NOUN
fuelectenerg-13520	174	31	1	1	NUM
fuelectenerg-13520	174	32	)	)	PUNCT
fuelectenerg-13520	174	33	.	.	PUNCT
fuelectenerg-13520	175	1	(	(	PUNCT
fuelectenerg-13520	175	2	6	6	NUM
fuelectenerg-13520	175	3	)	)	PUNCT
fuelectenerg-13520	175	4	after	after	ADP
fuelectenerg-13520	175	5	simple	simple	ADJ
fuelectenerg-13520	175	6	manipulation	manipulation	NOUN
fuelectenerg-13520	175	7	,	,	PUNCT
fuelectenerg-13520	175	8	the	the	DET
fuelectenerg-13520	175	9	following	follow	VERB
fuelectenerg-13520	175	10	expression	expression	NOUN
fuelectenerg-13520	175	11	for	for	ADP
fuelectenerg-13520	175	12	γ	γ	X
fuelectenerg-13520	175	13	(	(	PUNCT
fuelectenerg-13520	175	14	ω	ω	NOUN
fuelectenerg-13520	175	15	)	)	PUNCT
fuelectenerg-13520	175	16	can	can	AUX
fuelectenerg-13520	175	17	be	be	AUX
fuelectenerg-13520	175	18	derived	derive	VERB
fuelectenerg-13520	175	19	:	:	PUNCT
fuelectenerg-13520	175	20	γ(ω	γ(ω	NUM
fuelectenerg-13520	175	21	)	)	PUNCT
fuelectenerg-13520	176	1	=	=	SYM
fuelectenerg-13520	176	2	ω2	ω2	ADJ
fuelectenerg-13520	176	3	(	(	PUNCT
fuelectenerg-13520	176	4	2χ2	2χ2	NUM
fuelectenerg-13520	176	5	−	−	NOUN
fuelectenerg-13520	176	6	1	1	NUM
fuelectenerg-13520	176	7	)	)	PUNCT
fuelectenerg-13520	176	8	−	−	PROPN
fuelectenerg-13520	176	9	χ2	χ2	PROPN
fuelectenerg-13520	176	10	χ2	χ2	PROPN
fuelectenerg-13520	176	11	−	−	PROPN
fuelectenerg-13520	176	12	ω2	ω2	PROPN
fuelectenerg-13520	176	13	,	,	PUNCT
fuelectenerg-13520	176	14	(	(	PUNCT
fuelectenerg-13520	176	15	7	7	NUM
fuelectenerg-13520	176	16	)	)	PUNCT
fuelectenerg-13520	176	17	and	and	CCONJ
fuelectenerg-13520	176	18	(	(	PUNCT
fuelectenerg-13520	176	19	2	2	X
fuelectenerg-13520	176	20	)	)	PUNCT
fuelectenerg-13520	176	21	can	can	AUX
fuelectenerg-13520	176	22	be	be	AUX
fuelectenerg-13520	176	23	rewritten	rewrite	VERB
fuelectenerg-13520	176	24	in	in	ADP
fuelectenerg-13520	176	25	a	a	DET
fuelectenerg-13520	176	26	simplified	simplified	ADJ
fuelectenerg-13520	176	27	form	form	NOUN
fuelectenerg-13520	176	28	as	as	ADP
fuelectenerg-13520	176	29	cn	cn	PROPN
fuelectenerg-13520	176	30	,	,	PUNCT
fuelectenerg-13520	176	31	m(ω	m(ω	PROPN
fuelectenerg-13520	176	32	)	)	PUNCT
fuelectenerg-13520	176	33	=	=	SYM
fuelectenerg-13520	176	34	cosh	cosh	NOUN
fuelectenerg-13520	176	35	[	[	PUNCT
fuelectenerg-13520	176	36	(	(	PUNCT
fuelectenerg-13520	176	37	n−	n−	NOUN
fuelectenerg-13520	176	38	2	2	NUM
fuelectenerg-13520	176	39	m	m	NOUN
fuelectenerg-13520	176	40	)	)	PUNCT
fuelectenerg-13520	176	41	acosh(ω	acosh(ω	VERB
fuelectenerg-13520	176	42	)	)	PUNCT
fuelectenerg-13520	177	1	+	+	NOUN
fuelectenerg-13520	177	2	m	m	NOUN
fuelectenerg-13520	177	3	acosh(γ	acosh(γ	NOUN
fuelectenerg-13520	177	4	)	)	PUNCT
fuelectenerg-13520	177	5	]	]	PUNCT
fuelectenerg-13520	177	6	.	.	PUNCT
fuelectenerg-13520	178	1	(	(	PUNCT
fuelectenerg-13520	178	2	8)	8)	NUM
fuelectenerg-13520	178	3	using	use	VERB
fuelectenerg-13520	178	4	the	the	DET
fuelectenerg-13520	178	5	identity	identity	NOUN
fuelectenerg-13520	178	6	acosh(x	acosh(x	NOUN
fuelectenerg-13520	178	7	)	)	PUNCT
fuelectenerg-13520	179	1	=	=	PRON
fuelectenerg-13520	179	2	log	log	NOUN
fuelectenerg-13520	179	3	(	(	PUNCT
fuelectenerg-13520	179	4	x+	x+	PROPN
fuelectenerg-13520	179	5	√	√	NUM
fuelectenerg-13520	180	1	x2	x2	NUM
fuelectenerg-13520	181	1	−	−	PROPN
fuelectenerg-13520	181	2	1	1	NUM
fuelectenerg-13520	181	3	)	)	PUNCT
fuelectenerg-13520	181	4	,	,	PUNCT
fuelectenerg-13520	181	5	the	the	DET
fuelectenerg-13520	181	6	following	follow	VERB
fuelectenerg-13520	181	7	expression	expression	NOUN
fuelectenerg-13520	181	8	is	be	AUX
fuelectenerg-13520	181	9	obtained	obtain	VERB
fuelectenerg-13520	181	10	cn	cn	PROPN
fuelectenerg-13520	181	11	,	,	PUNCT
fuelectenerg-13520	181	12	m(ω	m(ω	PROPN
fuelectenerg-13520	181	13	)	)	PUNCT
fuelectenerg-13520	182	1	=	=	SYM
fuelectenerg-13520	182	2	cosh	cosh	NOUN
fuelectenerg-13520	182	3	[	[	PUNCT
fuelectenerg-13520	182	4	(	(	PUNCT
fuelectenerg-13520	182	5	n−	n−	NOUN
fuelectenerg-13520	182	6	2	2	NUM
fuelectenerg-13520	182	7	m	m	NOUN
fuelectenerg-13520	182	8	)	)	PUNCT
fuelectenerg-13520	182	9	log	log	NOUN
fuelectenerg-13520	182	10	(	(	PUNCT
fuelectenerg-13520	182	11	ω	ω	NOUN
fuelectenerg-13520	182	12	+	+	CCONJ
fuelectenerg-13520	182	13	√	√	PROPN
fuelectenerg-13520	182	14	ω2	ω2	ADJ
fuelectenerg-13520	182	15	−	−	PROPN
fuelectenerg-13520	182	16	1	1	NUM
fuelectenerg-13520	182	17	)	)	PUNCT
fuelectenerg-13520	183	1	+	+	VERB
fuelectenerg-13520	183	2	m	m	VERB
fuelectenerg-13520	183	3	log	log	NOUN
fuelectenerg-13520	183	4	(	(	PUNCT
fuelectenerg-13520	183	5	γ	γ	X
fuelectenerg-13520	183	6	+	+	CCONJ
fuelectenerg-13520	183	7	√	√	PUNCT
fuelectenerg-13520	183	8	γ2	γ2	NOUN
fuelectenerg-13520	183	9	−	−	NOUN
fuelectenerg-13520	183	10	1	1	NUM
fuelectenerg-13520	183	11	)	)	PUNCT
fuelectenerg-13520	183	12	]	]	PUNCT
fuelectenerg-13520	183	13	,	,	PUNCT
fuelectenerg-13520	183	14	(	(	PUNCT
fuelectenerg-13520	183	15	9	9	NUM
fuelectenerg-13520	183	16	)	)	PUNCT
fuelectenerg-13520	183	17	or	or	CCONJ
fuelectenerg-13520	183	18	in	in	ADP
fuelectenerg-13520	183	19	a	a	DET
fuelectenerg-13520	183	20	more	more	ADV
fuelectenerg-13520	183	21	compact	compact	ADJ
fuelectenerg-13520	183	22	form	form	NOUN
fuelectenerg-13520	183	23	cn	cn	PROPN
fuelectenerg-13520	183	24	,	,	PUNCT
fuelectenerg-13520	183	25	m(ω	m(ω	PROPN
fuelectenerg-13520	183	26	)	)	PUNCT
fuelectenerg-13520	183	27	=	=	SYM
fuelectenerg-13520	183	28	cosh	cosh	NOUN
fuelectenerg-13520	183	29	{	{	PUNCT
fuelectenerg-13520	183	30	log	log	NOUN
fuelectenerg-13520	183	31	[	[	X
fuelectenerg-13520	183	32	(	(	PUNCT
fuelectenerg-13520	183	33	ω	ω	NOUN
fuelectenerg-13520	183	34	+	+	CCONJ
fuelectenerg-13520	183	35	√	√	PROPN
fuelectenerg-13520	183	36	ω2	ω2	ADJ
fuelectenerg-13520	183	37	−	−	PROPN
fuelectenerg-13520	183	38	1	1	NUM
fuelectenerg-13520	183	39	)	)	PUNCT
fuelectenerg-13520	183	40	n−2	n−2	PROPN
fuelectenerg-13520	183	41	m	m	NOUN
fuelectenerg-13520	183	42	×	×	NOUN
fuelectenerg-13520	183	43	(	(	PUNCT
fuelectenerg-13520	183	44	γ	γ	X
fuelectenerg-13520	183	45	+	+	CCONJ
fuelectenerg-13520	183	46	√	√	PUNCT
fuelectenerg-13520	183	47	γ2	γ2	NOUN
fuelectenerg-13520	183	48	−	−	NOUN
fuelectenerg-13520	183	49	1	1	NUM
fuelectenerg-13520	183	50	)	)	PUNCT
fuelectenerg-13520	183	51	m	m	VERB
fuelectenerg-13520	183	52	]	]	PUNCT
fuelectenerg-13520	183	53	}	}	PUNCT
fuelectenerg-13520	183	54	.	.	PUNCT
fuelectenerg-13520	184	1	(	(	PUNCT
fuelectenerg-13520	184	2	10	10	NUM
fuelectenerg-13520	184	3	)	)	PUNCT
fuelectenerg-13520	184	4	after	after	ADP
fuelectenerg-13520	184	5	log	log	NOUN
fuelectenerg-13520	184	6	and	and	CCONJ
fuelectenerg-13520	184	7	cosh	cosh	PROPN
fuelectenerg-13520	184	8	operations	operation	NOUN
fuelectenerg-13520	184	9	,	,	PUNCT
fuelectenerg-13520	184	10	we	we	PRON
fuelectenerg-13520	184	11	obtain	obtain	VERB
fuelectenerg-13520	184	12	the	the	DET
fuelectenerg-13520	184	13	algebraic	algebraic	ADJ
fuelectenerg-13520	184	14	form	form	NOUN
fuelectenerg-13520	184	15	:	:	PUNCT
fuelectenerg-13520	184	16	cn	cn	PROPN
fuelectenerg-13520	184	17	,	,	PUNCT
fuelectenerg-13520	184	18	m(ω	m(ω	PROPN
fuelectenerg-13520	184	19	)	)	PUNCT
fuelectenerg-13520	184	20	=	=	SYM
fuelectenerg-13520	185	1	1	1	NUM
fuelectenerg-13520	185	2	2	2	NUM
fuelectenerg-13520	185	3	[	[	X
fuelectenerg-13520	185	4	(	(	PUNCT
fuelectenerg-13520	185	5	ω	ω	NOUN
fuelectenerg-13520	185	6	+	+	CCONJ
fuelectenerg-13520	185	7	√	√	PROPN
fuelectenerg-13520	185	8	ω2	ω2	ADJ
fuelectenerg-13520	185	9	−	−	PROPN
fuelectenerg-13520	185	10	1	1	NUM
fuelectenerg-13520	185	11	)	)	PUNCT
fuelectenerg-13520	185	12	n−2	n−2	PROPN
fuelectenerg-13520	185	13	m	m	PROPN
fuelectenerg-13520	185	14	(	(	PUNCT
fuelectenerg-13520	185	15	γ	γ	X
fuelectenerg-13520	185	16	+	+	CCONJ
fuelectenerg-13520	185	17	√	√	PUNCT
fuelectenerg-13520	185	18	γ2	γ2	NOUN
fuelectenerg-13520	185	19	−	−	NOUN
fuelectenerg-13520	185	20	1	1	NUM
fuelectenerg-13520	185	21	)	)	PUNCT
fuelectenerg-13520	185	22	m	m	VERB
fuelectenerg-13520	185	23	+	+	CCONJ
fuelectenerg-13520	185	24	(	(	PUNCT
fuelectenerg-13520	185	25	ω	ω	NUM
fuelectenerg-13520	185	26	−	−	PROPN
fuelectenerg-13520	185	27	√	√	PROPN
fuelectenerg-13520	185	28	ω2	ω2	NUM
fuelectenerg-13520	185	29	−	−	PROPN
fuelectenerg-13520	185	30	1	1	NUM
fuelectenerg-13520	185	31	)	)	PUNCT
fuelectenerg-13520	185	32	n−2	n−2	PROPN
fuelectenerg-13520	185	33	m	m	PROPN
fuelectenerg-13520	185	34	(	(	PUNCT
fuelectenerg-13520	185	35	γ	γ	X
fuelectenerg-13520	185	36	−	−	PROPN
fuelectenerg-13520	185	37	√	√	NOUN
fuelectenerg-13520	185	38	γ2	γ2	NOUN
fuelectenerg-13520	185	39	−	−	NOUN
fuelectenerg-13520	185	40	1	1	NUM
fuelectenerg-13520	185	41	)	)	PUNCT
fuelectenerg-13520	185	42	m	m	PROPN
fuelectenerg-13520	185	43	]	]	PUNCT
fuelectenerg-13520	185	44	.	.	PUNCT
fuelectenerg-13520	186	1	(	(	PUNCT
fuelectenerg-13520	186	2	11	11	X
fuelectenerg-13520	186	3	)	)	PUNCT
fuelectenerg-13520	186	4	substituting	substitute	VERB
fuelectenerg-13520	186	5	(	(	PUNCT
fuelectenerg-13520	186	6	7	7	NUM
fuelectenerg-13520	186	7	)	)	PUNCT
fuelectenerg-13520	186	8	into	into	ADP
fuelectenerg-13520	186	9	√	√	PUNCT
fuelectenerg-13520	186	10	γ2	γ2	NOUN
fuelectenerg-13520	186	11	−	−	PROPN
fuelectenerg-13520	186	12	1	1	NUM
fuelectenerg-13520	186	13	yields	yield	VERB
fuelectenerg-13520	186	14	the	the	DET
fuelectenerg-13520	186	15	following	follow	VERB
fuelectenerg-13520	186	16	expression	expression	NOUN
fuelectenerg-13520	186	17	:	:	PUNCT
fuelectenerg-13520	186	18	√	√	PROPN
fuelectenerg-13520	186	19	γ2	γ2	ADJ
fuelectenerg-13520	186	20	−	−	NOUN
fuelectenerg-13520	186	21	1	1	NUM
fuelectenerg-13520	186	22	=	=	SYM
fuelectenerg-13520	186	23	2χω	2χω	ADJ
fuelectenerg-13520	186	24	√	√	ADJ
fuelectenerg-13520	187	1	χ2	χ2	NOUN
fuelectenerg-13520	187	2	−	−	PROPN
fuelectenerg-13520	187	3	1	1	NUM
fuelectenerg-13520	187	4	√	√	NUM
fuelectenerg-13520	187	5	ω2	ω2	NUM
fuelectenerg-13520	187	6	−	−	PROPN
fuelectenerg-13520	187	7	1	1	NUM
fuelectenerg-13520	187	8	χ2	χ2	PROPN
fuelectenerg-13520	187	9	−	−	PROPN
fuelectenerg-13520	187	10	ω2	ω2	PROPN
fuelectenerg-13520	187	11	.	.	PUNCT
fuelectenerg-13520	188	1	(	(	PUNCT
fuelectenerg-13520	188	2	12	12	NUM
fuelectenerg-13520	188	3	)	)	PUNCT
fuelectenerg-13520	188	4	rewriting	rewrite	VERB
fuelectenerg-13520	188	5	γ	γ	PROPN
fuelectenerg-13520	188	6	±	±	NUM
fuelectenerg-13520	188	7	√	√	PROPN
fuelectenerg-13520	188	8	γ2	γ2	NOUN
fuelectenerg-13520	188	9	−	−	PROPN
fuelectenerg-13520	188	10	1	1	NUM
fuelectenerg-13520	188	11	in	in	ADP
fuelectenerg-13520	188	12	the	the	DET
fuelectenerg-13520	188	13	form	form	NOUN
fuelectenerg-13520	188	14	a	a	DET
fuelectenerg-13520	188	15	±	±	NUM
fuelectenerg-13520	188	16	b	b	NOUN
fuelectenerg-13520	188	17	√	√	PROPN
fuelectenerg-13520	188	18	ω2	ω2	ADJ
fuelectenerg-13520	188	19	−	−	PROPN
fuelectenerg-13520	188	20	1	1	NUM
fuelectenerg-13520	188	21	allows	allow	VERB
fuelectenerg-13520	188	22	(	(	PUNCT
fuelectenerg-13520	188	23	11	11	NUM
fuelectenerg-13520	188	24	)	)	PUNCT
fuelectenerg-13520	188	25	to	to	PART
fuelectenerg-13520	188	26	be	be	AUX
fuelectenerg-13520	188	27	expressed	express	VERB
fuelectenerg-13520	188	28	as	as	ADP
fuelectenerg-13520	188	29	the	the	DET
fuelectenerg-13520	188	30	quotient	quotient	NOUN
fuelectenerg-13520	188	31	of	of	ADP
fuelectenerg-13520	188	32	two	two	NUM
fuelectenerg-13520	188	33	algebraic	algebraic	ADJ
fuelectenerg-13520	188	34	functions	function	NOUN
fuelectenerg-13520	188	35	:	:	PUNCT
fuelectenerg-13520	188	36	cn	cn	PROPN
fuelectenerg-13520	188	37	,	,	PUNCT
fuelectenerg-13520	188	38	m(ω	m(ω	PROPN
fuelectenerg-13520	188	39	)	)	PUNCT
fuelectenerg-13520	188	40	=	=	SYM
fuelectenerg-13520	188	41	1	1	NUM
fuelectenerg-13520	188	42	2	2	NUM
fuelectenerg-13520	188	43	(	(	PUNCT
fuelectenerg-13520	188	44	ω	ω	PROPN
fuelectenerg-13520	188	45	+	+	CCONJ
fuelectenerg-13520	188	46	√	√	PROPN
fuelectenerg-13520	188	47	ω2	ω2	ADJ
fuelectenerg-13520	188	48	−	−	PROPN
fuelectenerg-13520	188	49	1	1	NUM
fuelectenerg-13520	188	50	)	)	PUNCT
fuelectenerg-13520	188	51	n−2	n−2	PROPN
fuelectenerg-13520	188	52	m	m	PROPN
fuelectenerg-13520	188	53	(	(	PUNCT
fuelectenerg-13520	188	54	a+	a+	PRON
fuelectenerg-13520	188	55	b	b	NOUN
fuelectenerg-13520	188	56	√	√	NUM
fuelectenerg-13520	188	57	ω2	ω2	NUM
fuelectenerg-13520	188	58	−	−	PROPN
fuelectenerg-13520	188	59	1	1	NUM
fuelectenerg-13520	188	60	)	)	PUNCT
fuelectenerg-13520	189	1	m	m	VERB
fuelectenerg-13520	189	2	+	+	CCONJ
fuelectenerg-13520	189	3	(	(	PUNCT
fuelectenerg-13520	189	4	ω	ω	NUM
fuelectenerg-13520	189	5	−	−	PROPN
fuelectenerg-13520	189	6	√	√	PROPN
fuelectenerg-13520	190	1	ω2	ω2	NUM
fuelectenerg-13520	190	2	−	−	PROPN
fuelectenerg-13520	190	3	1	1	NUM
fuelectenerg-13520	190	4	)	)	PUNCT
fuelectenerg-13520	190	5	n−2	n−2	PROPN
fuelectenerg-13520	190	6	m	m	PROPN
fuelectenerg-13520	190	7	(	(	PUNCT
fuelectenerg-13520	190	8	a−	a−	PROPN
fuelectenerg-13520	190	9	b	b	PROPN
fuelectenerg-13520	190	10	√	√	NUM
fuelectenerg-13520	190	11	ω2	ω2	NUM
fuelectenerg-13520	190	12	−	−	PROPN
fuelectenerg-13520	190	13	1	1	NUM
fuelectenerg-13520	190	14	)	)	PUNCT
fuelectenerg-13520	190	15	m	m	PROPN
fuelectenerg-13520	191	1	(	(	PUNCT
fuelectenerg-13520	191	2	χ2	χ2	PROPN
fuelectenerg-13520	191	3	−	−	PROPN
fuelectenerg-13520	191	4	ω2)m	ω2)m	NOUN
fuelectenerg-13520	191	5	(	(	PUNCT
fuelectenerg-13520	191	6	13	13	NUM
fuelectenerg-13520	191	7	)	)	PUNCT
fuelectenerg-13520	191	8	where	where	SCONJ
fuelectenerg-13520	191	9	a	a	DET
fuelectenerg-13520	191	10	=	=	SYM
fuelectenerg-13520	191	11	ω2	ω2	ADJ
fuelectenerg-13520	191	12	(	(	PUNCT
fuelectenerg-13520	191	13	2χ2	2χ2	NUM
fuelectenerg-13520	191	14	−	−	NOUN
fuelectenerg-13520	191	15	1	1	NUM
fuelectenerg-13520	191	16	)	)	PUNCT
fuelectenerg-13520	191	17	−	−	PROPN
fuelectenerg-13520	192	1	χ2	χ2	PROPN
fuelectenerg-13520	192	2	is	be	AUX
fuelectenerg-13520	192	3	the	the	DET
fuelectenerg-13520	192	4	numerator	numerator	NOUN
fuelectenerg-13520	192	5	of	of	ADP
fuelectenerg-13520	192	6	(	(	PUNCT
fuelectenerg-13520	192	7	7	7	NUM
fuelectenerg-13520	192	8	)	)	PUNCT
fuelectenerg-13520	192	9	,	,	PUNCT
fuelectenerg-13520	192	10	and	and	CCONJ
fuelectenerg-13520	192	11	b	b	X
fuelectenerg-13520	192	12	=	=	SYM
fuelectenerg-13520	192	13	2χω	2χω	ADJ
fuelectenerg-13520	192	14	√	√	NOUN
fuelectenerg-13520	192	15	χ2	χ2	NOUN
fuelectenerg-13520	192	16	−	−	PROPN
fuelectenerg-13520	192	17	1	1	NUM
fuelectenerg-13520	192	18	is	be	AUX
fuelectenerg-13520	192	19	the	the	DET
fuelectenerg-13520	192	20	numerator	numerator	NOUN
fuelectenerg-13520	192	21	of	of	ADP
fuelectenerg-13520	192	22	(	(	PUNCT
fuelectenerg-13520	192	23	12	12	NUM
fuelectenerg-13520	192	24	)	)	PUNCT
fuelectenerg-13520	192	25	excluding	exclude	VERB
fuelectenerg-13520	192	26	the	the	DET
fuelectenerg-13520	192	27	multiplicative	multiplicative	ADJ
fuelectenerg-13520	192	28	factor	factor	NOUN
fuelectenerg-13520	192	29	of	of	ADP
fuelectenerg-13520	192	30	√	√	PROPN
fuelectenerg-13520	192	31	ω2	ω2	ADV
fuelectenerg-13520	192	32	−	−	PROPN
fuelectenerg-13520	192	33	1	1	X
fuelectenerg-13520	192	34	.	.	PUNCT
fuelectenerg-13520	193	1	utilization	utilization	NOUN
fuelectenerg-13520	193	2	of	of	ADP
fuelectenerg-13520	193	3	the	the	DET
fuelectenerg-13520	193	4	binomial	binomial	ADJ
fuelectenerg-13520	193	5	expansion	expansion	NOUN
fuelectenerg-13520	193	6	formula	formula	NOUN
fuelectenerg-13520	193	7	gives	give	VERB
fuelectenerg-13520	193	8	(	(	PUNCT
fuelectenerg-13520	193	9	a±	a±	PROPN
fuelectenerg-13520	193	10	b	b	PROPN
fuelectenerg-13520	193	11	√	√	NUM
fuelectenerg-13520	193	12	ω2	ω2	NUM
fuelectenerg-13520	193	13	−	−	PROPN
fuelectenerg-13520	193	14	1	1	NUM
fuelectenerg-13520	193	15	)	)	PUNCT
fuelectenerg-13520	193	16	m	m	VERB
fuelectenerg-13520	193	17	=	=	NOUN
fuelectenerg-13520	193	18	a2m(ω)±	a2m(ω)±	PROPN
fuelectenerg-13520	193	19	b2m+1(ω)√	b2m+1(ω)√	VERB
fuelectenerg-13520	194	1	ω2	ω2	CCONJ
fuelectenerg-13520	194	2	−	−	PROPN
fuelectenerg-13520	194	3	1	1	NUM
fuelectenerg-13520	194	4	(	(	PUNCT
fuelectenerg-13520	194	5	14	14	NUM
fuelectenerg-13520	194	6	)	)	PUNCT
fuelectenerg-13520	194	7	44	44	NUM
fuelectenerg-13520	194	8	n.	n.	NOUN
fuelectenerg-13520	194	9	stojanović	stojanović	PROPN
fuelectenerg-13520	194	10	,	,	PUNCT
fuelectenerg-13520	194	11	i.	i.	PROPN
fuelectenerg-13520	194	12	krstić	krstić	PROPN
fuelectenerg-13520	194	13	,	,	PUNCT
fuelectenerg-13520	195	1	n.	n.	PROPN
fuelectenerg-13520	195	2	stamenković	stamenković	VERB
fuelectenerg-13520	195	3	optimum	optimum	PROPN
fuelectenerg-13520	195	4	chebyshev	chebyshev	PROPN
fuelectenerg-13520	195	5	lowpass	lowpass	NOUN
fuelectenerg-13520	195	6	filter	filter	NOUN
fuelectenerg-13520	195	7	with	with	ADP
fuelectenerg-13520	195	8	a	a	DET
fuelectenerg-13520	195	9	pair	pair	NOUN
fuelectenerg-13520	195	10	of	of	ADP
fuelectenerg-13520	195	11	imaginary	imaginary	ADJ
fuelectenerg-13520	195	12	-	-	PUNCT
fuelectenerg-13520	195	13	axis	axis	NOUN
fuelectenerg-13520	195	14	zeros	zero	NOUN
fuelectenerg-13520	195	15	45	45	NUM
fuelectenerg-13520	195	16	104	104	NUM
fuelectenerg-13520	195	17	n.	n.	NOUN
fuelectenerg-13520	195	18	stojanović	stojanović	ADJ
fuelectenerg-13520	195	19	,	,	PUNCT
fuelectenerg-13520	195	20	i.	i.	PROPN
fuelectenerg-13520	195	21	krstić	krstić	PROPN
fuelectenerg-13520	195	22	,	,	PUNCT
fuelectenerg-13520	195	23	n.	n.	PROPN
fuelectenerg-13520	195	24	stamenković	stamenković	PROPN
fuelectenerg-13520	195	25	where	where	SCONJ
fuelectenerg-13520	195	26	a2m(ω	a2m(ω	PROPN
fuelectenerg-13520	195	27	)	)	PUNCT
fuelectenerg-13520	195	28	=	=	PUNCT
fuelectenerg-13520	195	29	⌊m/2⌋∑	⌊m/2⌋∑	ADJ
fuelectenerg-13520	195	30	k=0	k=0	PUNCT
fuelectenerg-13520	195	31	(	(	PUNCT
fuelectenerg-13520	195	32	m	m	PROPN
fuelectenerg-13520	195	33	2k	2k	NUM
fuelectenerg-13520	195	34	)	)	PUNCT
fuelectenerg-13520	195	35	am−2k	am−2k	PROPN
fuelectenerg-13520	196	1	b2k(ω2	b2k(ω2	NOUN
fuelectenerg-13520	196	2	−	−	PROPN
fuelectenerg-13520	196	3	1)k	1)k	NUM
fuelectenerg-13520	196	4	and	and	CCONJ
fuelectenerg-13520	196	5	b2m+1(ω	b2m+1(ω	NUM
fuelectenerg-13520	196	6	)	)	PUNCT
fuelectenerg-13520	196	7	=	=	SYM
fuelectenerg-13520	196	8	⌊(m−1)/2⌋∑	⌊(m−1)/2⌋∑	PROPN
fuelectenerg-13520	196	9	k=0	k=0	PROPN
fuelectenerg-13520	196	10	(	(	PUNCT
fuelectenerg-13520	196	11	m	m	PUNCT
fuelectenerg-13520	196	12	2k	2k	NOUN
fuelectenerg-13520	196	13	+	+	CCONJ
fuelectenerg-13520	196	14	1	1	X
fuelectenerg-13520	196	15	)	)	PUNCT
fuelectenerg-13520	196	16	am−2k−1	am−2k−1	ADJ
fuelectenerg-13520	196	17	b2k+1(ω2	b2k+1(ω2	NOUN
fuelectenerg-13520	196	18	−	−	PROPN
fuelectenerg-13520	196	19	1)k+1	1)k+1	NUM
fuelectenerg-13520	196	20	are	be	AUX
fuelectenerg-13520	196	21	polynomials	polynomial	NOUN
fuelectenerg-13520	196	22	of	of	ADP
fuelectenerg-13520	196	23	degrees	degree	NOUN
fuelectenerg-13520	196	24	2	2	NUM
fuelectenerg-13520	196	25	m	m	NOUN
fuelectenerg-13520	196	26	and	and	CCONJ
fuelectenerg-13520	196	27	2m+	2m+	NUM
fuelectenerg-13520	196	28	1	1	NUM
fuelectenerg-13520	196	29	,	,	PUNCT
fuelectenerg-13520	196	30	respectively	respectively	ADV
fuelectenerg-13520	196	31	.	.	PUNCT
fuelectenerg-13520	197	1	for	for	ADP
fuelectenerg-13520	197	2	m	m	PROPN
fuelectenerg-13520	197	3	=	=	SYM
fuelectenerg-13520	197	4	1	1	NUM
fuelectenerg-13520	197	5	and	and	CCONJ
fuelectenerg-13520	197	6	m	m	PROPN
fuelectenerg-13520	197	7	=	=	ADJ
fuelectenerg-13520	197	8	2	2	NUM
fuelectenerg-13520	197	9	,	,	PUNCT
fuelectenerg-13520	197	10	these	these	DET
fuelectenerg-13520	197	11	polynomials	polynomial	NOUN
fuelectenerg-13520	197	12	are	be	AUX
fuelectenerg-13520	197	13	a2	a2	PROPN
fuelectenerg-13520	197	14	(	(	PUNCT
fuelectenerg-13520	197	15	ω	ω	NOUN
fuelectenerg-13520	197	16	)	)	PUNCT
fuelectenerg-13520	198	1	=	=	SYM
fuelectenerg-13520	198	2	ω2	ω2	ADJ
fuelectenerg-13520	198	3	(	(	PUNCT
fuelectenerg-13520	198	4	2χ2	2χ2	NUM
fuelectenerg-13520	198	5	−	−	NOUN
fuelectenerg-13520	198	6	1	1	X
fuelectenerg-13520	198	7	)	)	PUNCT
fuelectenerg-13520	198	8	−	−	PROPN
fuelectenerg-13520	198	9	χ2	χ2	PROPN
fuelectenerg-13520	198	10	,	,	PUNCT
fuelectenerg-13520	198	11	b3	b3	PROPN
fuelectenerg-13520	198	12	(	(	PUNCT
fuelectenerg-13520	198	13	ω	ω	NOUN
fuelectenerg-13520	198	14	)	)	PUNCT
fuelectenerg-13520	198	15	=	=	SYM
fuelectenerg-13520	198	16	2χω3	2χω3	NUM
fuelectenerg-13520	198	17	√	√	PROPN
fuelectenerg-13520	198	18	χ2	χ2	PROPN
fuelectenerg-13520	198	19	−	−	PROPN
fuelectenerg-13520	198	20	1−	1−	NUM
fuelectenerg-13520	198	21	2χω	2χω	ADJ
fuelectenerg-13520	198	22	√	√	NOUN
fuelectenerg-13520	198	23	χ2	χ2	PROPN
fuelectenerg-13520	198	24	−	−	PROPN
fuelectenerg-13520	198	25	1	1	NUM
fuelectenerg-13520	198	26	,	,	PUNCT
fuelectenerg-13520	198	27	(	(	PUNCT
fuelectenerg-13520	198	28	15	15	NUM
fuelectenerg-13520	198	29	)	)	PUNCT
fuelectenerg-13520	198	30	and	and	CCONJ
fuelectenerg-13520	198	31	a4	a4	NOUN
fuelectenerg-13520	198	32	(	(	PUNCT
fuelectenerg-13520	198	33	ω	ω	NOUN
fuelectenerg-13520	198	34	)	)	PUNCT
fuelectenerg-13520	198	35	=	=	SYM
fuelectenerg-13520	198	36	a2	a2	PROPN
fuelectenerg-13520	198	37	2	2	NUM
fuelectenerg-13520	198	38	(	(	PUNCT
fuelectenerg-13520	198	39	ω	ω	NOUN
fuelectenerg-13520	198	40	)	)	PUNCT
fuelectenerg-13520	198	41	+	+	CCONJ
fuelectenerg-13520	198	42	2χω	2χω	ADJ
fuelectenerg-13520	198	43	√	√	ADJ
fuelectenerg-13520	198	44	χ2	χ2	PROPN
fuelectenerg-13520	198	45	−	−	PROPN
fuelectenerg-13520	198	46	1b3	1b3	NUM
fuelectenerg-13520	198	47	(	(	PUNCT
fuelectenerg-13520	198	48	ω	ω	NOUN
fuelectenerg-13520	198	49	)	)	PUNCT
fuelectenerg-13520	198	50	,	,	PUNCT
fuelectenerg-13520	198	51	b5	b5	PROPN
fuelectenerg-13520	198	52	(	(	PUNCT
fuelectenerg-13520	198	53	ω	ω	PROPN
fuelectenerg-13520	198	54	)	)	PUNCT
fuelectenerg-13520	198	55	=	=	SYM
fuelectenerg-13520	198	56	2a2	2a2	NUM
fuelectenerg-13520	198	57	(	(	PUNCT
fuelectenerg-13520	198	58	ω)b3	ω)b3	PROPN
fuelectenerg-13520	198	59	(	(	PUNCT
fuelectenerg-13520	198	60	ω	ω	NOUN
fuelectenerg-13520	198	61	)	)	PUNCT
fuelectenerg-13520	198	62	.	.	PUNCT
fuelectenerg-13520	199	1	(	(	PUNCT
fuelectenerg-13520	199	2	16	16	NUM
fuelectenerg-13520	199	3	)	)	PUNCT
fuelectenerg-13520	199	4	by	by	ADP
fuelectenerg-13520	199	5	substituting	substitute	VERB
fuelectenerg-13520	199	6	a2m(ω	a2m(ω	PROPN
fuelectenerg-13520	199	7	)	)	PUNCT
fuelectenerg-13520	199	8	and	and	CCONJ
fuelectenerg-13520	199	9	b2m+1(ω	b2m+1(ω	NUM
fuelectenerg-13520	199	10	)	)	PUNCT
fuelectenerg-13520	199	11	into	into	ADP
fuelectenerg-13520	199	12	(	(	PUNCT
fuelectenerg-13520	199	13	13	13	NUM
fuelectenerg-13520	199	14	)	)	PUNCT
fuelectenerg-13520	199	15	,	,	PUNCT
fuelectenerg-13520	199	16	it	it	PRON
fuelectenerg-13520	199	17	can	can	AUX
fuelectenerg-13520	199	18	be	be	AUX
fuelectenerg-13520	199	19	rearranged	rearrange	VERB
fuelectenerg-13520	199	20	as	as	SCONJ
fuelectenerg-13520	199	21	follows	follow	VERB
fuelectenerg-13520	199	22	:	:	PUNCT
fuelectenerg-13520	199	23	cn	cn	PROPN
fuelectenerg-13520	199	24	,	,	PUNCT
fuelectenerg-13520	199	25	m(ω	m(ω	PROPN
fuelectenerg-13520	199	26	)	)	PUNCT
fuelectenerg-13520	200	1	=	=	SYM
fuelectenerg-13520	200	2	1	1	NUM
fuelectenerg-13520	200	3	2	2	NUM
fuelectenerg-13520	200	4	[	[	PUNCT
fuelectenerg-13520	200	5	(	(	PUNCT
fuelectenerg-13520	200	6	ω	ω	NOUN
fuelectenerg-13520	200	7	+	+	CCONJ
fuelectenerg-13520	200	8	√	√	PROPN
fuelectenerg-13520	200	9	ω2	ω2	ADJ
fuelectenerg-13520	200	10	−	−	PROPN
fuelectenerg-13520	200	11	1)n−2	1)n−2	NUM
fuelectenerg-13520	200	12	m	m	NOUN
fuelectenerg-13520	200	13	+	+	CCONJ
fuelectenerg-13520	200	14	(	(	PUNCT
fuelectenerg-13520	200	15	ω	ω	NUM
fuelectenerg-13520	200	16	−	−	NOUN
fuelectenerg-13520	200	17	√	√	PROPN
fuelectenerg-13520	200	18	ω2	ω2	ADJ
fuelectenerg-13520	200	19	−	−	PROPN
fuelectenerg-13520	200	20	1)n−2	1)n−2	NUM
fuelectenerg-13520	200	21	m	m	NOUN
fuelectenerg-13520	200	22	]	]	PUNCT
fuelectenerg-13520	200	23	a2m(ω	a2m(ω	PROPN
fuelectenerg-13520	200	24	)	)	PUNCT
fuelectenerg-13520	201	1	+	+	CCONJ
fuelectenerg-13520	201	2	[	[	PUNCT
fuelectenerg-13520	201	3	(	(	PUNCT
fuelectenerg-13520	201	4	ω	ω	NOUN
fuelectenerg-13520	201	5	+	+	CCONJ
fuelectenerg-13520	201	6	√	√	PROPN
fuelectenerg-13520	201	7	ω2	ω2	ADJ
fuelectenerg-13520	201	8	−	−	PROPN
fuelectenerg-13520	201	9	1)n−2	1)n−2	NUM
fuelectenerg-13520	201	10	m	m	NOUN
fuelectenerg-13520	201	11	−	−	NOUN
fuelectenerg-13520	201	12	(	(	PUNCT
fuelectenerg-13520	201	13	ω	ω	PROPN
fuelectenerg-13520	201	14	−	−	PROPN
fuelectenerg-13520	201	15	√	√	PROPN
fuelectenerg-13520	201	16	ω2	ω2	ADJ
fuelectenerg-13520	201	17	−	−	PROPN
fuelectenerg-13520	201	18	1)n−2	1)n−2	NUM
fuelectenerg-13520	201	19	m	m	NOUN
fuelectenerg-13520	201	20	]	]	PUNCT
fuelectenerg-13520	201	21	b2m+1(ω)√	b2m+1(ω)√	VERB
fuelectenerg-13520	201	22	ω2−1	ω2−1	ADP
fuelectenerg-13520	201	23	(	(	PUNCT
fuelectenerg-13520	201	24	χ2	χ2	PROPN
fuelectenerg-13520	201	25	−	−	PROPN
fuelectenerg-13520	201	26	ω2)m	ω2)m	NOUN
fuelectenerg-13520	201	27	(	(	PUNCT
fuelectenerg-13520	201	28	17	17	NUM
fuelectenerg-13520	201	29	)	)	PUNCT
fuelectenerg-13520	201	30	in	in	ADP
fuelectenerg-13520	201	31	the	the	DET
fuelectenerg-13520	201	32	numerator	numerator	NOUN
fuelectenerg-13520	201	33	of	of	ADP
fuelectenerg-13520	201	34	(	(	PUNCT
fuelectenerg-13520	201	35	17	17	NUM
fuelectenerg-13520	201	36	)	)	PUNCT
fuelectenerg-13520	201	37	,	,	PUNCT
fuelectenerg-13520	201	38	two	two	NUM
fuelectenerg-13520	201	39	hypergeometric	hypergeometric	ADJ
fuelectenerg-13520	201	40	functions	function	NOUN
fuelectenerg-13520	201	41	can	can	AUX
fuelectenerg-13520	201	42	be	be	AUX
fuelectenerg-13520	201	43	rewritten	rewrite	VERB
fuelectenerg-13520	201	44	regarding	regard	VERB
fuelectenerg-13520	201	45	two	two	NUM
fuelectenerg-13520	201	46	chebyshev	chebyshev	NOUN
fuelectenerg-13520	201	47	polynomials	polynomial	NOUN
fuelectenerg-13520	201	48	.	.	PUNCT
fuelectenerg-13520	202	1	the	the	DET
fuelectenerg-13520	202	2	first	first	ADJ
fuelectenerg-13520	202	3	function	function	NOUN
fuelectenerg-13520	202	4	is	be	AUX
fuelectenerg-13520	202	5	(	(	PUNCT
fuelectenerg-13520	202	6	x+	x+	PROPN
fuelectenerg-13520	202	7	√	√	NUM
fuelectenerg-13520	202	8	x2	x2	NUM
fuelectenerg-13520	202	9	−	−	PROPN
fuelectenerg-13520	202	10	1)n+(x−	1)n+(x−	NUM
fuelectenerg-13520	202	11	√	√	NUM
fuelectenerg-13520	203	1	x2	x2	PRON
fuelectenerg-13520	203	2	−	−	PROPN
fuelectenerg-13520	203	3	1)n	1)n	NUM
fuelectenerg-13520	203	4	=	=	SYM
fuelectenerg-13520	203	5	2tn(x	2tn(x	NUM
fuelectenerg-13520	203	6	)	)	PUNCT
fuelectenerg-13520	203	7	,	,	PUNCT
fuelectenerg-13520	203	8	where	where	SCONJ
fuelectenerg-13520	203	9	tn(x	tn(x	PUNCT
fuelectenerg-13520	203	10	)	)	PUNCT
fuelectenerg-13520	203	11	is	be	AUX
fuelectenerg-13520	203	12	the	the	DET
fuelectenerg-13520	203	13	chebyshev	chebyshev	NOUN
fuelectenerg-13520	203	14	polynomial	polynomial	NOUN
fuelectenerg-13520	203	15	of	of	ADP
fuelectenerg-13520	203	16	the	the	DET
fuelectenerg-13520	203	17	first	first	ADJ
fuelectenerg-13520	203	18	kind	kind	NOUN
fuelectenerg-13520	203	19	,	,	PUNCT
fuelectenerg-13520	203	20	while	while	SCONJ
fuelectenerg-13520	203	21	the	the	DET
fuelectenerg-13520	203	22	second	second	ADJ
fuelectenerg-13520	203	23	function	function	NOUN
fuelectenerg-13520	203	24	is	be	AUX
fuelectenerg-13520	203	25	(	(	PUNCT
fuelectenerg-13520	203	26	x+	x+	PROPN
fuelectenerg-13520	203	27	√	√	ADJ
fuelectenerg-13520	204	1	x2	x2	NUM
fuelectenerg-13520	204	2	−	−	PROPN
fuelectenerg-13520	204	3	1)n	1)n	INTJ
fuelectenerg-13520	204	4	−	−	PROPN
fuelectenerg-13520	204	5	(	(	PUNCT
fuelectenerg-13520	204	6	x−	x−	PROPN
fuelectenerg-13520	204	7	√	√	PROPN
fuelectenerg-13520	205	1	x2	x2	PROPN
fuelectenerg-13520	206	1	−	−	PROPN
fuelectenerg-13520	206	2	1)n	1)n	NUM
fuelectenerg-13520	206	3	=	=	SYM
fuelectenerg-13520	206	4	2un(x	2un(x	NUM
fuelectenerg-13520	206	5	)	)	PUNCT
fuelectenerg-13520	206	6	√	√	PROPN
fuelectenerg-13520	207	1	x2	x2	INTJ
fuelectenerg-13520	208	1	−	−	PROPN
fuelectenerg-13520	208	2	1	1	NUM
fuelectenerg-13520	208	3	,	,	PUNCT
fuelectenerg-13520	208	4	where	where	SCONJ
fuelectenerg-13520	208	5	un(x	un(x	X
fuelectenerg-13520	208	6	)	)	PUNCT
fuelectenerg-13520	208	7	is	be	AUX
fuelectenerg-13520	208	8	the	the	DET
fuelectenerg-13520	208	9	chebyshev	chebyshev	NOUN
fuelectenerg-13520	208	10	polynomial	polynomial	NOUN
fuelectenerg-13520	208	11	of	of	ADP
fuelectenerg-13520	208	12	the	the	DET
fuelectenerg-13520	208	13	second	second	ADJ
fuelectenerg-13520	208	14	kind	kind	NOUN
fuelectenerg-13520	208	15	.	.	PUNCT
fuelectenerg-13520	209	1	using	use	VERB
fuelectenerg-13520	209	2	these	these	DET
fuelectenerg-13520	209	3	relationships	relationship	NOUN
fuelectenerg-13520	209	4	,	,	PUNCT
fuelectenerg-13520	209	5	(	(	PUNCT
fuelectenerg-13520	209	6	17	17	NUM
fuelectenerg-13520	209	7	)	)	PUNCT
fuelectenerg-13520	209	8	is	be	AUX
fuelectenerg-13520	209	9	finally	finally	ADV
fuelectenerg-13520	209	10	expressed	express	VERB
fuelectenerg-13520	209	11	in	in	ADP
fuelectenerg-13520	209	12	the	the	DET
fuelectenerg-13520	209	13	form	form	NOUN
fuelectenerg-13520	209	14	of	of	ADP
fuelectenerg-13520	209	15	the	the	DET
fuelectenerg-13520	209	16	rational	rational	ADJ
fuelectenerg-13520	209	17	optimum	optimum	NOUN
fuelectenerg-13520	209	18	c	c	NOUN
fuelectenerg-13520	209	19	filtering	filtering	NOUN
fuelectenerg-13520	209	20	function	function	NOUN
fuelectenerg-13520	209	21	:	:	PUNCT
fuelectenerg-13520	209	22	cn	cn	PROPN
fuelectenerg-13520	209	23	,	,	PUNCT
fuelectenerg-13520	209	24	m(ω	m(ω	PROPN
fuelectenerg-13520	209	25	)	)	PUNCT
fuelectenerg-13520	210	1	=	=	PUNCT
fuelectenerg-13520	210	2	a2m(ω)tn−2m(ω	a2m(ω)tn−2m(ω	VERB
fuelectenerg-13520	210	3	)	)	PUNCT
fuelectenerg-13520	210	4	+	+	NOUN
fuelectenerg-13520	210	5	b2m+1(ω)un−2m−1(ω	b2m+1(ω)un−2m−1(ω	NOUN
fuelectenerg-13520	210	6	)	)	PUNCT
fuelectenerg-13520	210	7	(	(	PUNCT
fuelectenerg-13520	210	8	χ2	χ2	PROPN
fuelectenerg-13520	210	9	−	−	PROPN
fuelectenerg-13520	210	10	ω2	ω2	PROPN
fuelectenerg-13520	210	11	)	)	PUNCT
fuelectenerg-13520	210	12	m	m	PROPN
fuelectenerg-13520	210	13	=	=	SYM
fuelectenerg-13520	210	14	nn	nn	PROPN
fuelectenerg-13520	210	15	(	(	PUNCT
fuelectenerg-13520	210	16	ω	ω	NOUN
fuelectenerg-13520	210	17	)	)	PUNCT
fuelectenerg-13520	210	18	d2	d2	PROPN
fuelectenerg-13520	210	19	m	m	PROPN
fuelectenerg-13520	210	20	(	(	PUNCT
fuelectenerg-13520	210	21	ω	ω	PROPN
fuelectenerg-13520	210	22	)	)	PUNCT
fuelectenerg-13520	210	23	(	(	PUNCT
fuelectenerg-13520	210	24	18	18	NUM
fuelectenerg-13520	210	25	)	)	PUNCT
fuelectenerg-13520	210	26	in	in	ADP
fuelectenerg-13520	210	27	which	which	PRON
fuelectenerg-13520	210	28	the	the	DET
fuelectenerg-13520	210	29	two	two	NUM
fuelectenerg-13520	210	30	terms	term	NOUN
fuelectenerg-13520	210	31	√	√	ADP
fuelectenerg-13520	210	32	ω2	ω2	ADJ
fuelectenerg-13520	210	33	−	−	PROPN
fuelectenerg-13520	210	34	1	1	NUM
fuelectenerg-13520	210	35	in	in	ADP
fuelectenerg-13520	210	36	the	the	DET
fuelectenerg-13520	210	37	addend	addend	NOUN
fuelectenerg-13520	210	38	cancel	cancel	VERB
fuelectenerg-13520	210	39	each	each	DET
fuelectenerg-13520	210	40	other	other	ADJ
fuelectenerg-13520	210	41	out	out	ADP
fuelectenerg-13520	210	42	.	.	PUNCT
fuelectenerg-13520	211	1	this	this	DET
fuelectenerg-13520	211	2	filtering	filter	VERB
fuelectenerg-13520	211	3	function	function	NOUN
fuelectenerg-13520	211	4	is	be	AUX
fuelectenerg-13520	211	5	optimum	optimum	ADJ
fuelectenerg-13520	211	6	because	because	SCONJ
fuelectenerg-13520	211	7	εo	εo	ADV
fuelectenerg-13520	211	8	is	be	AUX
fuelectenerg-13520	211	9	embedded	embed	VERB
fuelectenerg-13520	211	10	in	in	ADP
fuelectenerg-13520	211	11	the	the	DET
fuelectenerg-13520	211	12	calculation	calculation	NOUN
fuelectenerg-13520	211	13	of	of	ADP
fuelectenerg-13520	211	14	χ	χ	NOUN
fuelectenerg-13520	211	15	.	.	PUNCT
fuelectenerg-13520	212	1	the	the	DET
fuelectenerg-13520	212	2	polynomial	polynomial	PROPN
fuelectenerg-13520	212	3	nn	nn	PROPN
fuelectenerg-13520	212	4	(	(	PUNCT
fuelectenerg-13520	212	5	ω	ω	NOUN
fuelectenerg-13520	212	6	)	)	PUNCT
fuelectenerg-13520	212	7	is	be	AUX
fuelectenerg-13520	212	8	a	a	DET
fuelectenerg-13520	212	9	purely	purely	ADV
fuelectenerg-13520	212	10	odd	odd	ADJ
fuelectenerg-13520	212	11	or	or	CCONJ
fuelectenerg-13520	212	12	purely	purely	ADV
fuelectenerg-13520	212	13	even	even	ADV
fuelectenerg-13520	212	14	function	function	VERB
fuelectenerg-13520	212	15	and	and	CCONJ
fuelectenerg-13520	212	16	satisfies	satisfy	VERB
fuelectenerg-13520	212	17	the	the	DET
fuelectenerg-13520	212	18	condition	condition	NOUN
fuelectenerg-13520	212	19	given	give	VERB
fuelectenerg-13520	212	20	in	in	ADP
fuelectenerg-13520	212	21	[	[	NOUN
fuelectenerg-13520	212	22	14	14	NUM
fuelectenerg-13520	212	23	]	]	PUNCT
fuelectenerg-13520	212	24	.	.	PUNCT
fuelectenerg-13520	213	1	it	it	PRON
fuelectenerg-13520	213	2	can	can	AUX
fuelectenerg-13520	213	3	be	be	AUX
fuelectenerg-13520	213	4	noted	note	VERB
fuelectenerg-13520	213	5	that	that	SCONJ
fuelectenerg-13520	213	6	cn	cn	PROPN
fuelectenerg-13520	213	7	,	,	PUNCT
fuelectenerg-13520	213	8	m(1	m(1	PROPN
fuelectenerg-13520	213	9	)	)	PUNCT
fuelectenerg-13520	213	10	=	=	SYM
fuelectenerg-13520	213	11	1	1	NUM
fuelectenerg-13520	213	12	,	,	PUNCT
fuelectenerg-13520	213	13	i.e.	i.e.	X
fuelectenerg-13520	213	14	ωr	ωr	X
fuelectenerg-13520	213	15	=	=	SYM
fuelectenerg-13520	213	16	1	1	X
fuelectenerg-13520	213	17	.	.	PUNCT
fuelectenerg-13520	213	18	polynomial	polynomial	PROPN
fuelectenerg-13520	213	19	nn(ω	nn(ω	NUM
fuelectenerg-13520	213	20	)	)	PUNCT
fuelectenerg-13520	213	21	can	can	AUX
fuelectenerg-13520	213	22	be	be	AUX
fuelectenerg-13520	213	23	obtained	obtain	VERB
fuelectenerg-13520	213	24	using	use	VERB
fuelectenerg-13520	213	25	only	only	ADV
fuelectenerg-13520	213	26	two	two	NUM
fuelectenerg-13520	213	27	auxiliary	auxiliary	ADJ
fuelectenerg-13520	213	28	polynomials	polynomial	NOUN
fuelectenerg-13520	213	29	,	,	PUNCT
fuelectenerg-13520	213	30	derived	derive	VERB
fuelectenerg-13520	213	31	from	from	ADP
fuelectenerg-13520	213	32	the	the	DET
fuelectenerg-13520	213	33	binomial	binomial	ADJ
fuelectenerg-13520	213	34	expansion	expansion	NOUN
fuelectenerg-13520	213	35	formula	formula	NOUN
fuelectenerg-13520	213	36	(	(	PUNCT
fuelectenerg-13520	213	37	14	14	NUM
fuelectenerg-13520	213	38	)	)	PUNCT
fuelectenerg-13520	213	39	,	,	PUNCT
fuelectenerg-13520	213	40	along	along	ADP
fuelectenerg-13520	213	41	with	with	ADP
fuelectenerg-13520	213	42	two	two	NUM
fuelectenerg-13520	213	43	known	know	VERB
fuelectenerg-13520	213	44	chebyshev	chebyshev	NOUN
fuelectenerg-13520	213	45	polynomials	polynomial	NOUN
fuelectenerg-13520	213	46	of	of	ADP
fuelectenerg-13520	213	47	the	the	DET
fuelectenerg-13520	213	48	first	first	ADJ
fuelectenerg-13520	213	49	and	and	CCONJ
fuelectenerg-13520	213	50	second	second	ADJ
fuelectenerg-13520	213	51	kinds	kind	NOUN
fuelectenerg-13520	213	52	.	.	PUNCT
fuelectenerg-13520	214	1	the	the	DET
fuelectenerg-13520	214	2	degrees	degree	NOUN
fuelectenerg-13520	214	3	of	of	ADP
fuelectenerg-13520	214	4	the	the	DET
fuelectenerg-13520	214	5	purely	purely	ADV
fuelectenerg-13520	214	6	even	even	ADJ
fuelectenerg-13520	214	7	polynomial	polynomial	ADJ
fuelectenerg-13520	214	8	a2m(ω	a2m(ω	PROPN
fuelectenerg-13520	214	9	)	)	PUNCT
fuelectenerg-13520	214	10	and	and	CCONJ
fuelectenerg-13520	214	11	the	the	DET
fuelectenerg-13520	214	12	purely	purely	ADV
fuelectenerg-13520	214	13	odd	odd	ADJ
fuelectenerg-13520	214	14	polynomial	polynomial	ADJ
fuelectenerg-13520	214	15	b2m+1(ω	b2m+1(ω	NOUN
fuelectenerg-13520	214	16	)	)	PUNCT
fuelectenerg-13520	214	17	depend	depend	VERB
fuelectenerg-13520	214	18	solely	solely	ADV
fuelectenerg-13520	214	19	on	on	ADP
fuelectenerg-13520	214	20	the	the	DET
fuelectenerg-13520	214	21	multiplicity	multiplicity	NOUN
fuelectenerg-13520	214	22	of	of	ADP
fuelectenerg-13520	214	23	the	the	DET
fuelectenerg-13520	214	24	zero	zero	NUM
fuelectenerg-13520	214	25	pair	pair	NOUN
fuelectenerg-13520	214	26	of	of	ADP
fuelectenerg-13520	214	27	the	the	DET
fuelectenerg-13520	214	28	transmission	transmission	NOUN
fuelectenerg-13520	214	29	coefficient	coefficient	NOUN
fuelectenerg-13520	214	30	and	and	CCONJ
fuelectenerg-13520	214	31	not	not	PART
fuelectenerg-13520	214	32	on	on	ADP
fuelectenerg-13520	214	33	the	the	DET
fuelectenerg-13520	214	34	filter	filter	NOUN
fuelectenerg-13520	214	35	degree	degree	NOUN
fuelectenerg-13520	214	36	n.	n.	NOUN
fuelectenerg-13520	214	37	if	if	SCONJ
fuelectenerg-13520	214	38	the	the	DET
fuelectenerg-13520	214	39	number	number	NOUN
fuelectenerg-13520	214	40	of	of	ADP
fuelectenerg-13520	214	41	zero	zero	NUM
fuelectenerg-13520	214	42	pairs	pair	NOUN
fuelectenerg-13520	214	43	increases	increase	NOUN
fuelectenerg-13520	214	44	,	,	PUNCT
fuelectenerg-13520	214	45	the	the	DET
fuelectenerg-13520	214	46	filter	filter	NOUN
fuelectenerg-13520	214	47	degree	degree	NOUN
fuelectenerg-13520	215	1	n	n	NOUN
fuelectenerg-13520	215	2	stays	stay	VERB
fuelectenerg-13520	215	3	the	the	DET
fuelectenerg-13520	215	4	same	same	ADJ
fuelectenerg-13520	215	5	,	,	PUNCT
fuelectenerg-13520	215	6	eliminating	eliminate	VERB
fuelectenerg-13520	215	7	the	the	DET
fuelectenerg-13520	215	8	need	need	NOUN
fuelectenerg-13520	215	9	for	for	ADP
fuelectenerg-13520	215	10	optimization	optimization	NOUN
fuelectenerg-13520	215	11	46	46	NUM
fuelectenerg-13520	215	12	n.	n.	PROPN
fuelectenerg-13520	215	13	stojanović	stojanović	PROPN
fuelectenerg-13520	215	14	,	,	PUNCT
fuelectenerg-13520	215	15	i.	i.	PROPN
fuelectenerg-13520	215	16	krstić	krstić	PROPN
fuelectenerg-13520	215	17	,	,	PUNCT
fuelectenerg-13520	215	18	n.	n.	PROPN
fuelectenerg-13520	215	19	stamenković	stamenković	VERB
fuelectenerg-13520	215	20	optimum	optimum	PROPN
fuelectenerg-13520	215	21	chebyshev	chebyshev	PROPN
fuelectenerg-13520	215	22	lowpass	lowpass	NOUN
fuelectenerg-13520	215	23	filter	filter	NOUN
fuelectenerg-13520	215	24	with	with	ADP
fuelectenerg-13520	215	25	a	a	DET
fuelectenerg-13520	215	26	pair	pair	NOUN
fuelectenerg-13520	215	27	of	of	ADP
fuelectenerg-13520	215	28	imaginary	imaginary	ADJ
fuelectenerg-13520	215	29	-	-	PUNCT
fuelectenerg-13520	215	30	axis	axis	NOUN
fuelectenerg-13520	215	31	zeros	zero	NOUN
fuelectenerg-13520	215	32	47	47	NUM
fuelectenerg-13520	215	33	104	104	NUM
fuelectenerg-13520	215	34	n.	n.	NOUN
fuelectenerg-13520	215	35	stojanović	stojanović	PROPN
fuelectenerg-13520	215	36	,	,	PUNCT
fuelectenerg-13520	215	37	i.	i.	PROPN
fuelectenerg-13520	215	38	krstić	krstić	PROPN
fuelectenerg-13520	215	39	,	,	PUNCT
fuelectenerg-13520	215	40	n.	n.	PROPN
fuelectenerg-13520	215	41	stamenković	stamenković	PROPN
fuelectenerg-13520	215	42	where	where	SCONJ
fuelectenerg-13520	215	43	a2m(ω	a2m(ω	PROPN
fuelectenerg-13520	215	44	)	)	PUNCT
fuelectenerg-13520	215	45	=	=	PUNCT
fuelectenerg-13520	215	46	⌊m/2⌋∑	⌊m/2⌋∑	ADJ
fuelectenerg-13520	215	47	k=0	k=0	PUNCT
fuelectenerg-13520	215	48	(	(	PUNCT
fuelectenerg-13520	215	49	m	m	PROPN
fuelectenerg-13520	215	50	2k	2k	NUM
fuelectenerg-13520	215	51	)	)	PUNCT
fuelectenerg-13520	215	52	am−2k	am−2k	PROPN
fuelectenerg-13520	216	1	b2k(ω2	b2k(ω2	NOUN
fuelectenerg-13520	216	2	−	−	PROPN
fuelectenerg-13520	216	3	1)k	1)k	NUM
fuelectenerg-13520	216	4	and	and	CCONJ
fuelectenerg-13520	216	5	b2m+1(ω	b2m+1(ω	NUM
fuelectenerg-13520	216	6	)	)	PUNCT
fuelectenerg-13520	216	7	=	=	SYM
fuelectenerg-13520	216	8	⌊(m−1)/2⌋∑	⌊(m−1)/2⌋∑	PROPN
fuelectenerg-13520	216	9	k=0	k=0	PROPN
fuelectenerg-13520	216	10	(	(	PUNCT
fuelectenerg-13520	216	11	m	m	PUNCT
fuelectenerg-13520	216	12	2k	2k	NOUN
fuelectenerg-13520	216	13	+	+	CCONJ
fuelectenerg-13520	216	14	1	1	X
fuelectenerg-13520	216	15	)	)	PUNCT
fuelectenerg-13520	216	16	am−2k−1	am−2k−1	ADJ
fuelectenerg-13520	216	17	b2k+1(ω2	b2k+1(ω2	NOUN
fuelectenerg-13520	216	18	−	−	PROPN
fuelectenerg-13520	216	19	1)k+1	1)k+1	NUM
fuelectenerg-13520	216	20	are	be	AUX
fuelectenerg-13520	216	21	polynomials	polynomial	NOUN
fuelectenerg-13520	216	22	of	of	ADP
fuelectenerg-13520	216	23	degrees	degree	NOUN
fuelectenerg-13520	216	24	2	2	NUM
fuelectenerg-13520	216	25	m	m	NOUN
fuelectenerg-13520	216	26	and	and	CCONJ
fuelectenerg-13520	216	27	2m+	2m+	NUM
fuelectenerg-13520	216	28	1	1	NUM
fuelectenerg-13520	216	29	,	,	PUNCT
fuelectenerg-13520	216	30	respectively	respectively	ADV
fuelectenerg-13520	216	31	.	.	PUNCT
fuelectenerg-13520	217	1	for	for	ADP
fuelectenerg-13520	217	2	m	m	PROPN
fuelectenerg-13520	217	3	=	=	SYM
fuelectenerg-13520	217	4	1	1	NUM
fuelectenerg-13520	217	5	and	and	CCONJ
fuelectenerg-13520	217	6	m	m	PROPN
fuelectenerg-13520	217	7	=	=	ADJ
fuelectenerg-13520	217	8	2	2	NUM
fuelectenerg-13520	217	9	,	,	PUNCT
fuelectenerg-13520	217	10	these	these	DET
fuelectenerg-13520	217	11	polynomials	polynomial	NOUN
fuelectenerg-13520	217	12	are	be	AUX
fuelectenerg-13520	217	13	a2	a2	PROPN
fuelectenerg-13520	217	14	(	(	PUNCT
fuelectenerg-13520	217	15	ω	ω	NOUN
fuelectenerg-13520	217	16	)	)	PUNCT
fuelectenerg-13520	218	1	=	=	SYM
fuelectenerg-13520	218	2	ω2	ω2	ADJ
fuelectenerg-13520	218	3	(	(	PUNCT
fuelectenerg-13520	218	4	2χ2	2χ2	NUM
fuelectenerg-13520	218	5	−	−	NOUN
fuelectenerg-13520	218	6	1	1	X
fuelectenerg-13520	218	7	)	)	PUNCT
fuelectenerg-13520	218	8	−	−	PROPN
fuelectenerg-13520	218	9	χ2	χ2	PROPN
fuelectenerg-13520	218	10	,	,	PUNCT
fuelectenerg-13520	218	11	b3	b3	PROPN
fuelectenerg-13520	218	12	(	(	PUNCT
fuelectenerg-13520	218	13	ω	ω	NOUN
fuelectenerg-13520	218	14	)	)	PUNCT
fuelectenerg-13520	218	15	=	=	SYM
fuelectenerg-13520	218	16	2χω3	2χω3	NUM
fuelectenerg-13520	218	17	√	√	PROPN
fuelectenerg-13520	218	18	χ2	χ2	PROPN
fuelectenerg-13520	218	19	−	−	PROPN
fuelectenerg-13520	218	20	1−	1−	NUM
fuelectenerg-13520	218	21	2χω	2χω	ADJ
fuelectenerg-13520	218	22	√	√	NOUN
fuelectenerg-13520	218	23	χ2	χ2	PROPN
fuelectenerg-13520	218	24	−	−	PROPN
fuelectenerg-13520	218	25	1	1	NUM
fuelectenerg-13520	218	26	,	,	PUNCT
fuelectenerg-13520	218	27	(	(	PUNCT
fuelectenerg-13520	218	28	15	15	NUM
fuelectenerg-13520	218	29	)	)	PUNCT
fuelectenerg-13520	218	30	and	and	CCONJ
fuelectenerg-13520	218	31	a4	a4	NOUN
fuelectenerg-13520	218	32	(	(	PUNCT
fuelectenerg-13520	218	33	ω	ω	NOUN
fuelectenerg-13520	218	34	)	)	PUNCT
fuelectenerg-13520	218	35	=	=	SYM
fuelectenerg-13520	218	36	a2	a2	PROPN
fuelectenerg-13520	218	37	2	2	NUM
fuelectenerg-13520	218	38	(	(	PUNCT
fuelectenerg-13520	218	39	ω	ω	NOUN
fuelectenerg-13520	218	40	)	)	PUNCT
fuelectenerg-13520	218	41	+	+	CCONJ
fuelectenerg-13520	218	42	2χω	2χω	ADJ
fuelectenerg-13520	218	43	√	√	ADJ
fuelectenerg-13520	218	44	χ2	χ2	PROPN
fuelectenerg-13520	218	45	−	−	PROPN
fuelectenerg-13520	218	46	1b3	1b3	NUM
fuelectenerg-13520	218	47	(	(	PUNCT
fuelectenerg-13520	218	48	ω	ω	NOUN
fuelectenerg-13520	218	49	)	)	PUNCT
fuelectenerg-13520	218	50	,	,	PUNCT
fuelectenerg-13520	218	51	b5	b5	PROPN
fuelectenerg-13520	218	52	(	(	PUNCT
fuelectenerg-13520	218	53	ω	ω	PROPN
fuelectenerg-13520	218	54	)	)	PUNCT
fuelectenerg-13520	218	55	=	=	SYM
fuelectenerg-13520	218	56	2a2	2a2	NUM
fuelectenerg-13520	218	57	(	(	PUNCT
fuelectenerg-13520	218	58	ω)b3	ω)b3	PROPN
fuelectenerg-13520	218	59	(	(	PUNCT
fuelectenerg-13520	218	60	ω	ω	NOUN
fuelectenerg-13520	218	61	)	)	PUNCT
fuelectenerg-13520	218	62	.	.	PUNCT
fuelectenerg-13520	219	1	(	(	PUNCT
fuelectenerg-13520	219	2	16	16	NUM
fuelectenerg-13520	219	3	)	)	PUNCT
fuelectenerg-13520	219	4	by	by	ADP
fuelectenerg-13520	219	5	substituting	substitute	VERB
fuelectenerg-13520	219	6	a2m(ω	a2m(ω	PROPN
fuelectenerg-13520	219	7	)	)	PUNCT
fuelectenerg-13520	219	8	and	and	CCONJ
fuelectenerg-13520	219	9	b2m+1(ω	b2m+1(ω	NUM
fuelectenerg-13520	219	10	)	)	PUNCT
fuelectenerg-13520	219	11	into	into	ADP
fuelectenerg-13520	219	12	(	(	PUNCT
fuelectenerg-13520	219	13	13	13	NUM
fuelectenerg-13520	219	14	)	)	PUNCT
fuelectenerg-13520	219	15	,	,	PUNCT
fuelectenerg-13520	219	16	it	it	PRON
fuelectenerg-13520	219	17	can	can	AUX
fuelectenerg-13520	219	18	be	be	AUX
fuelectenerg-13520	219	19	rearranged	rearrange	VERB
fuelectenerg-13520	219	20	as	as	SCONJ
fuelectenerg-13520	219	21	follows	follow	VERB
fuelectenerg-13520	219	22	:	:	PUNCT
fuelectenerg-13520	219	23	cn	cn	PROPN
fuelectenerg-13520	219	24	,	,	PUNCT
fuelectenerg-13520	219	25	m(ω	m(ω	PROPN
fuelectenerg-13520	219	26	)	)	PUNCT
fuelectenerg-13520	220	1	=	=	SYM
fuelectenerg-13520	220	2	1	1	NUM
fuelectenerg-13520	220	3	2	2	NUM
fuelectenerg-13520	220	4	[	[	PUNCT
fuelectenerg-13520	220	5	(	(	PUNCT
fuelectenerg-13520	220	6	ω	ω	NOUN
fuelectenerg-13520	220	7	+	+	CCONJ
fuelectenerg-13520	220	8	√	√	PROPN
fuelectenerg-13520	220	9	ω2	ω2	ADJ
fuelectenerg-13520	220	10	−	−	PROPN
fuelectenerg-13520	220	11	1)n−2	1)n−2	NUM
fuelectenerg-13520	220	12	m	m	NOUN
fuelectenerg-13520	220	13	+	+	CCONJ
fuelectenerg-13520	220	14	(	(	PUNCT
fuelectenerg-13520	220	15	ω	ω	NUM
fuelectenerg-13520	220	16	−	−	NOUN
fuelectenerg-13520	220	17	√	√	PROPN
fuelectenerg-13520	220	18	ω2	ω2	ADJ
fuelectenerg-13520	220	19	−	−	PROPN
fuelectenerg-13520	220	20	1)n−2	1)n−2	NUM
fuelectenerg-13520	220	21	m	m	NOUN
fuelectenerg-13520	220	22	]	]	PUNCT
fuelectenerg-13520	220	23	a2m(ω	a2m(ω	PROPN
fuelectenerg-13520	220	24	)	)	PUNCT
fuelectenerg-13520	221	1	+	+	CCONJ
fuelectenerg-13520	221	2	[	[	PUNCT
fuelectenerg-13520	221	3	(	(	PUNCT
fuelectenerg-13520	221	4	ω	ω	NOUN
fuelectenerg-13520	221	5	+	+	CCONJ
fuelectenerg-13520	221	6	√	√	PROPN
fuelectenerg-13520	221	7	ω2	ω2	ADJ
fuelectenerg-13520	221	8	−	−	PROPN
fuelectenerg-13520	221	9	1)n−2	1)n−2	NUM
fuelectenerg-13520	221	10	m	m	NOUN
fuelectenerg-13520	221	11	−	−	NOUN
fuelectenerg-13520	221	12	(	(	PUNCT
fuelectenerg-13520	221	13	ω	ω	PROPN
fuelectenerg-13520	221	14	−	−	PROPN
fuelectenerg-13520	221	15	√	√	PROPN
fuelectenerg-13520	221	16	ω2	ω2	ADJ
fuelectenerg-13520	221	17	−	−	PROPN
fuelectenerg-13520	221	18	1)n−2	1)n−2	NUM
fuelectenerg-13520	221	19	m	m	NOUN
fuelectenerg-13520	221	20	]	]	PUNCT
fuelectenerg-13520	221	21	b2m+1(ω)√	b2m+1(ω)√	VERB
fuelectenerg-13520	221	22	ω2−1	ω2−1	ADP
fuelectenerg-13520	221	23	(	(	PUNCT
fuelectenerg-13520	221	24	χ2	χ2	PROPN
fuelectenerg-13520	221	25	−	−	PROPN
fuelectenerg-13520	221	26	ω2)m	ω2)m	NOUN
fuelectenerg-13520	221	27	(	(	PUNCT
fuelectenerg-13520	221	28	17	17	NUM
fuelectenerg-13520	221	29	)	)	PUNCT
fuelectenerg-13520	221	30	in	in	ADP
fuelectenerg-13520	221	31	the	the	DET
fuelectenerg-13520	221	32	numerator	numerator	NOUN
fuelectenerg-13520	221	33	of	of	ADP
fuelectenerg-13520	221	34	(	(	PUNCT
fuelectenerg-13520	221	35	17	17	NUM
fuelectenerg-13520	221	36	)	)	PUNCT
fuelectenerg-13520	221	37	,	,	PUNCT
fuelectenerg-13520	221	38	two	two	NUM
fuelectenerg-13520	221	39	hypergeometric	hypergeometric	ADJ
fuelectenerg-13520	221	40	functions	function	NOUN
fuelectenerg-13520	221	41	can	can	AUX
fuelectenerg-13520	221	42	be	be	AUX
fuelectenerg-13520	221	43	rewritten	rewrite	VERB
fuelectenerg-13520	221	44	regarding	regard	VERB
fuelectenerg-13520	221	45	two	two	NUM
fuelectenerg-13520	221	46	chebyshev	chebyshev	NOUN
fuelectenerg-13520	221	47	polynomials	polynomial	NOUN
fuelectenerg-13520	221	48	.	.	PUNCT
fuelectenerg-13520	222	1	the	the	DET
fuelectenerg-13520	222	2	first	first	ADJ
fuelectenerg-13520	222	3	function	function	NOUN
fuelectenerg-13520	222	4	is	be	AUX
fuelectenerg-13520	222	5	(	(	PUNCT
fuelectenerg-13520	222	6	x+	x+	PROPN
fuelectenerg-13520	222	7	√	√	NUM
fuelectenerg-13520	222	8	x2	x2	NUM
fuelectenerg-13520	222	9	−	−	PROPN
fuelectenerg-13520	222	10	1)n+(x−	1)n+(x−	NUM
fuelectenerg-13520	222	11	√	√	NUM
fuelectenerg-13520	223	1	x2	x2	PRON
fuelectenerg-13520	223	2	−	−	PROPN
fuelectenerg-13520	223	3	1)n	1)n	NUM
fuelectenerg-13520	223	4	=	=	SYM
fuelectenerg-13520	223	5	2tn(x	2tn(x	NUM
fuelectenerg-13520	223	6	)	)	PUNCT
fuelectenerg-13520	223	7	,	,	PUNCT
fuelectenerg-13520	223	8	where	where	SCONJ
fuelectenerg-13520	223	9	tn(x	tn(x	PUNCT
fuelectenerg-13520	223	10	)	)	PUNCT
fuelectenerg-13520	223	11	is	be	AUX
fuelectenerg-13520	223	12	the	the	DET
fuelectenerg-13520	223	13	chebyshev	chebyshev	NOUN
fuelectenerg-13520	223	14	polynomial	polynomial	NOUN
fuelectenerg-13520	223	15	of	of	ADP
fuelectenerg-13520	223	16	the	the	DET
fuelectenerg-13520	223	17	first	first	ADJ
fuelectenerg-13520	223	18	kind	kind	NOUN
fuelectenerg-13520	223	19	,	,	PUNCT
fuelectenerg-13520	223	20	while	while	SCONJ
fuelectenerg-13520	223	21	the	the	DET
fuelectenerg-13520	223	22	second	second	ADJ
fuelectenerg-13520	223	23	function	function	NOUN
fuelectenerg-13520	223	24	is	be	AUX
fuelectenerg-13520	223	25	(	(	PUNCT
fuelectenerg-13520	223	26	x+	x+	PROPN
fuelectenerg-13520	223	27	√	√	ADJ
fuelectenerg-13520	224	1	x2	x2	NUM
fuelectenerg-13520	224	2	−	−	PROPN
fuelectenerg-13520	224	3	1)n	1)n	INTJ
fuelectenerg-13520	224	4	−	−	PROPN
fuelectenerg-13520	224	5	(	(	PUNCT
fuelectenerg-13520	224	6	x−	x−	PROPN
fuelectenerg-13520	224	7	√	√	PROPN
fuelectenerg-13520	225	1	x2	x2	PROPN
fuelectenerg-13520	226	1	−	−	PROPN
fuelectenerg-13520	226	2	1)n	1)n	NUM
fuelectenerg-13520	226	3	=	=	SYM
fuelectenerg-13520	226	4	2un(x	2un(x	NUM
fuelectenerg-13520	226	5	)	)	PUNCT
fuelectenerg-13520	226	6	√	√	PROPN
fuelectenerg-13520	227	1	x2	x2	INTJ
fuelectenerg-13520	228	1	−	−	PROPN
fuelectenerg-13520	228	2	1	1	NUM
fuelectenerg-13520	228	3	,	,	PUNCT
fuelectenerg-13520	228	4	where	where	SCONJ
fuelectenerg-13520	228	5	un(x	un(x	X
fuelectenerg-13520	228	6	)	)	PUNCT
fuelectenerg-13520	228	7	is	be	AUX
fuelectenerg-13520	228	8	the	the	DET
fuelectenerg-13520	228	9	chebyshev	chebyshev	NOUN
fuelectenerg-13520	228	10	polynomial	polynomial	NOUN
fuelectenerg-13520	228	11	of	of	ADP
fuelectenerg-13520	228	12	the	the	DET
fuelectenerg-13520	228	13	second	second	ADJ
fuelectenerg-13520	228	14	kind	kind	NOUN
fuelectenerg-13520	228	15	.	.	PUNCT
fuelectenerg-13520	229	1	using	use	VERB
fuelectenerg-13520	229	2	these	these	DET
fuelectenerg-13520	229	3	relationships	relationship	NOUN
fuelectenerg-13520	229	4	,	,	PUNCT
fuelectenerg-13520	229	5	(	(	PUNCT
fuelectenerg-13520	229	6	17	17	NUM
fuelectenerg-13520	229	7	)	)	PUNCT
fuelectenerg-13520	229	8	is	be	AUX
fuelectenerg-13520	229	9	finally	finally	ADV
fuelectenerg-13520	229	10	expressed	express	VERB
fuelectenerg-13520	229	11	in	in	ADP
fuelectenerg-13520	229	12	the	the	DET
fuelectenerg-13520	229	13	form	form	NOUN
fuelectenerg-13520	229	14	of	of	ADP
fuelectenerg-13520	229	15	the	the	DET
fuelectenerg-13520	229	16	rational	rational	ADJ
fuelectenerg-13520	229	17	optimum	optimum	NOUN
fuelectenerg-13520	229	18	c	c	NOUN
fuelectenerg-13520	229	19	filtering	filtering	NOUN
fuelectenerg-13520	229	20	function	function	NOUN
fuelectenerg-13520	229	21	:	:	PUNCT
fuelectenerg-13520	229	22	cn	cn	PROPN
fuelectenerg-13520	229	23	,	,	PUNCT
fuelectenerg-13520	229	24	m(ω	m(ω	PROPN
fuelectenerg-13520	229	25	)	)	PUNCT
fuelectenerg-13520	230	1	=	=	PUNCT
fuelectenerg-13520	230	2	a2m(ω)tn−2m(ω	a2m(ω)tn−2m(ω	VERB
fuelectenerg-13520	230	3	)	)	PUNCT
fuelectenerg-13520	230	4	+	+	NOUN
fuelectenerg-13520	230	5	b2m+1(ω)un−2m−1(ω	b2m+1(ω)un−2m−1(ω	NOUN
fuelectenerg-13520	230	6	)	)	PUNCT
fuelectenerg-13520	230	7	(	(	PUNCT
fuelectenerg-13520	230	8	χ2	χ2	PROPN
fuelectenerg-13520	230	9	−	−	PROPN
fuelectenerg-13520	230	10	ω2	ω2	PROPN
fuelectenerg-13520	230	11	)	)	PUNCT
fuelectenerg-13520	230	12	m	m	PROPN
fuelectenerg-13520	230	13	=	=	SYM
fuelectenerg-13520	230	14	nn	nn	PROPN
fuelectenerg-13520	230	15	(	(	PUNCT
fuelectenerg-13520	230	16	ω	ω	NOUN
fuelectenerg-13520	230	17	)	)	PUNCT
fuelectenerg-13520	230	18	d2	d2	PROPN
fuelectenerg-13520	230	19	m	m	PROPN
fuelectenerg-13520	230	20	(	(	PUNCT
fuelectenerg-13520	230	21	ω	ω	PROPN
fuelectenerg-13520	230	22	)	)	PUNCT
fuelectenerg-13520	230	23	(	(	PUNCT
fuelectenerg-13520	230	24	18	18	NUM
fuelectenerg-13520	230	25	)	)	PUNCT
fuelectenerg-13520	230	26	in	in	ADP
fuelectenerg-13520	230	27	which	which	PRON
fuelectenerg-13520	230	28	the	the	DET
fuelectenerg-13520	230	29	two	two	NUM
fuelectenerg-13520	230	30	terms	term	NOUN
fuelectenerg-13520	230	31	√	√	ADP
fuelectenerg-13520	230	32	ω2	ω2	ADJ
fuelectenerg-13520	230	33	−	−	PROPN
fuelectenerg-13520	230	34	1	1	NUM
fuelectenerg-13520	230	35	in	in	ADP
fuelectenerg-13520	230	36	the	the	DET
fuelectenerg-13520	230	37	addend	addend	NOUN
fuelectenerg-13520	230	38	cancel	cancel	VERB
fuelectenerg-13520	230	39	each	each	DET
fuelectenerg-13520	230	40	other	other	ADJ
fuelectenerg-13520	230	41	out	out	ADP
fuelectenerg-13520	230	42	.	.	PUNCT
fuelectenerg-13520	231	1	this	this	DET
fuelectenerg-13520	231	2	filtering	filter	VERB
fuelectenerg-13520	231	3	function	function	NOUN
fuelectenerg-13520	231	4	is	be	AUX
fuelectenerg-13520	231	5	optimum	optimum	ADJ
fuelectenerg-13520	231	6	because	because	SCONJ
fuelectenerg-13520	231	7	εo	εo	ADV
fuelectenerg-13520	231	8	is	be	AUX
fuelectenerg-13520	231	9	embedded	embed	VERB
fuelectenerg-13520	231	10	in	in	ADP
fuelectenerg-13520	231	11	the	the	DET
fuelectenerg-13520	231	12	calculation	calculation	NOUN
fuelectenerg-13520	231	13	of	of	ADP
fuelectenerg-13520	231	14	χ	χ	NOUN
fuelectenerg-13520	231	15	.	.	PUNCT
fuelectenerg-13520	232	1	the	the	DET
fuelectenerg-13520	232	2	polynomial	polynomial	PROPN
fuelectenerg-13520	232	3	nn	nn	PROPN
fuelectenerg-13520	232	4	(	(	PUNCT
fuelectenerg-13520	232	5	ω	ω	NOUN
fuelectenerg-13520	232	6	)	)	PUNCT
fuelectenerg-13520	232	7	is	be	AUX
fuelectenerg-13520	232	8	a	a	DET
fuelectenerg-13520	232	9	purely	purely	ADV
fuelectenerg-13520	232	10	odd	odd	ADJ
fuelectenerg-13520	232	11	or	or	CCONJ
fuelectenerg-13520	232	12	purely	purely	ADV
fuelectenerg-13520	232	13	even	even	ADV
fuelectenerg-13520	232	14	function	function	VERB
fuelectenerg-13520	232	15	and	and	CCONJ
fuelectenerg-13520	232	16	satisfies	satisfy	VERB
fuelectenerg-13520	232	17	the	the	DET
fuelectenerg-13520	232	18	condition	condition	NOUN
fuelectenerg-13520	232	19	given	give	VERB
fuelectenerg-13520	232	20	in	in	ADP
fuelectenerg-13520	232	21	[	[	NOUN
fuelectenerg-13520	232	22	14	14	NUM
fuelectenerg-13520	232	23	]	]	PUNCT
fuelectenerg-13520	232	24	.	.	PUNCT
fuelectenerg-13520	233	1	it	it	PRON
fuelectenerg-13520	233	2	can	can	AUX
fuelectenerg-13520	233	3	be	be	AUX
fuelectenerg-13520	233	4	noted	note	VERB
fuelectenerg-13520	233	5	that	that	SCONJ
fuelectenerg-13520	233	6	cn	cn	PROPN
fuelectenerg-13520	233	7	,	,	PUNCT
fuelectenerg-13520	233	8	m(1	m(1	PROPN
fuelectenerg-13520	233	9	)	)	PUNCT
fuelectenerg-13520	233	10	=	=	SYM
fuelectenerg-13520	233	11	1	1	NUM
fuelectenerg-13520	233	12	,	,	PUNCT
fuelectenerg-13520	233	13	i.e.	i.e.	X
fuelectenerg-13520	233	14	ωr	ωr	X
fuelectenerg-13520	233	15	=	=	SYM
fuelectenerg-13520	233	16	1	1	X
fuelectenerg-13520	233	17	.	.	PUNCT
fuelectenerg-13520	233	18	polynomial	polynomial	PROPN
fuelectenerg-13520	233	19	nn(ω	nn(ω	NUM
fuelectenerg-13520	233	20	)	)	PUNCT
fuelectenerg-13520	233	21	can	can	AUX
fuelectenerg-13520	233	22	be	be	AUX
fuelectenerg-13520	233	23	obtained	obtain	VERB
fuelectenerg-13520	233	24	using	use	VERB
fuelectenerg-13520	233	25	only	only	ADV
fuelectenerg-13520	233	26	two	two	NUM
fuelectenerg-13520	233	27	auxiliary	auxiliary	ADJ
fuelectenerg-13520	233	28	polynomials	polynomial	NOUN
fuelectenerg-13520	233	29	,	,	PUNCT
fuelectenerg-13520	233	30	derived	derive	VERB
fuelectenerg-13520	233	31	from	from	ADP
fuelectenerg-13520	233	32	the	the	DET
fuelectenerg-13520	233	33	binomial	binomial	ADJ
fuelectenerg-13520	233	34	expansion	expansion	NOUN
fuelectenerg-13520	233	35	formula	formula	NOUN
fuelectenerg-13520	233	36	(	(	PUNCT
fuelectenerg-13520	233	37	14	14	NUM
fuelectenerg-13520	233	38	)	)	PUNCT
fuelectenerg-13520	233	39	,	,	PUNCT
fuelectenerg-13520	233	40	along	along	ADP
fuelectenerg-13520	233	41	with	with	ADP
fuelectenerg-13520	233	42	two	two	NUM
fuelectenerg-13520	233	43	known	know	VERB
fuelectenerg-13520	233	44	chebyshev	chebyshev	NOUN
fuelectenerg-13520	233	45	polynomials	polynomial	NOUN
fuelectenerg-13520	233	46	of	of	ADP
fuelectenerg-13520	233	47	the	the	DET
fuelectenerg-13520	233	48	first	first	ADJ
fuelectenerg-13520	233	49	and	and	CCONJ
fuelectenerg-13520	233	50	second	second	ADJ
fuelectenerg-13520	233	51	kinds	kind	NOUN
fuelectenerg-13520	233	52	.	.	PUNCT
fuelectenerg-13520	234	1	the	the	DET
fuelectenerg-13520	234	2	degrees	degree	NOUN
fuelectenerg-13520	234	3	of	of	ADP
fuelectenerg-13520	234	4	the	the	DET
fuelectenerg-13520	234	5	purely	purely	ADV
fuelectenerg-13520	234	6	even	even	ADJ
fuelectenerg-13520	234	7	polynomial	polynomial	ADJ
fuelectenerg-13520	234	8	a2m(ω	a2m(ω	PROPN
fuelectenerg-13520	234	9	)	)	PUNCT
fuelectenerg-13520	234	10	and	and	CCONJ
fuelectenerg-13520	234	11	the	the	DET
fuelectenerg-13520	234	12	purely	purely	ADV
fuelectenerg-13520	234	13	odd	odd	ADJ
fuelectenerg-13520	234	14	polynomial	polynomial	ADJ
fuelectenerg-13520	234	15	b2m+1(ω	b2m+1(ω	NOUN
fuelectenerg-13520	234	16	)	)	PUNCT
fuelectenerg-13520	234	17	depend	depend	VERB
fuelectenerg-13520	234	18	solely	solely	ADV
fuelectenerg-13520	234	19	on	on	ADP
fuelectenerg-13520	234	20	the	the	DET
fuelectenerg-13520	234	21	multiplicity	multiplicity	NOUN
fuelectenerg-13520	234	22	of	of	ADP
fuelectenerg-13520	234	23	the	the	DET
fuelectenerg-13520	234	24	zero	zero	NUM
fuelectenerg-13520	234	25	pair	pair	NOUN
fuelectenerg-13520	234	26	of	of	ADP
fuelectenerg-13520	234	27	the	the	DET
fuelectenerg-13520	234	28	transmission	transmission	NOUN
fuelectenerg-13520	234	29	coefficient	coefficient	NOUN
fuelectenerg-13520	234	30	and	and	CCONJ
fuelectenerg-13520	234	31	not	not	PART
fuelectenerg-13520	234	32	on	on	ADP
fuelectenerg-13520	234	33	the	the	DET
fuelectenerg-13520	234	34	filter	filter	NOUN
fuelectenerg-13520	234	35	degree	degree	NOUN
fuelectenerg-13520	234	36	n.	n.	NOUN
fuelectenerg-13520	234	37	if	if	SCONJ
fuelectenerg-13520	234	38	the	the	DET
fuelectenerg-13520	234	39	number	number	NOUN
fuelectenerg-13520	234	40	of	of	ADP
fuelectenerg-13520	234	41	zero	zero	NUM
fuelectenerg-13520	234	42	pairs	pair	NOUN
fuelectenerg-13520	234	43	increases	increase	NOUN
fuelectenerg-13520	234	44	,	,	PUNCT
fuelectenerg-13520	234	45	the	the	DET
fuelectenerg-13520	234	46	filter	filter	NOUN
fuelectenerg-13520	234	47	degree	degree	NOUN
fuelectenerg-13520	235	1	n	n	NOUN
fuelectenerg-13520	235	2	stays	stay	VERB
fuelectenerg-13520	235	3	the	the	DET
fuelectenerg-13520	235	4	same	same	ADJ
fuelectenerg-13520	235	5	,	,	PUNCT
fuelectenerg-13520	235	6	eliminating	eliminate	VERB
fuelectenerg-13520	235	7	the	the	DET
fuelectenerg-13520	235	8	need	need	NOUN
fuelectenerg-13520	235	9	for	for	ADP
fuelectenerg-13520	235	10	optimization	optimization	NOUN
fuelectenerg-13520	235	11	optimum	optimum	ADJ
fuelectenerg-13520	235	12	chebyshev	chebyshev	NOUN
fuelectenerg-13520	235	13	lowpass	lowpass	NOUN
fuelectenerg-13520	235	14	filter	filter	NOUN
fuelectenerg-13520	235	15	with	with	ADP
fuelectenerg-13520	235	16	a	a	DET
fuelectenerg-13520	235	17	pair	pair	NOUN
fuelectenerg-13520	235	18	of	of	ADP
fuelectenerg-13520	235	19	imaginary	imaginary	ADJ
fuelectenerg-13520	235	20	-	-	PUNCT
fuelectenerg-13520	235	21	axis	axis	NOUN
fuelectenerg-13520	235	22	zeros	zero	NOUN
fuelectenerg-13520	235	23	105	105	NUM
fuelectenerg-13520	235	24	or	or	CCONJ
fuelectenerg-13520	235	25	recursion	recursion	NOUN
fuelectenerg-13520	235	26	formulas	formula	NOUN
fuelectenerg-13520	235	27	.	.	PUNCT
fuelectenerg-13520	236	1	as	as	ADP
fuelectenerg-13520	236	2	a	a	DET
fuelectenerg-13520	236	3	result	result	NOUN
fuelectenerg-13520	236	4	,	,	PUNCT
fuelectenerg-13520	236	5	the	the	DET
fuelectenerg-13520	236	6	mathematical	mathematical	ADJ
fuelectenerg-13520	236	7	framework	framework	NOUN
fuelectenerg-13520	236	8	is	be	AUX
fuelectenerg-13520	236	9	significantly	significantly	ADV
fuelectenerg-13520	236	10	simpler	simple	ADJ
fuelectenerg-13520	236	11	than	than	ADP
fuelectenerg-13520	236	12	the	the	DET
fuelectenerg-13520	236	13	well	well	ADV
fuelectenerg-13520	236	14	-	-	PUNCT
fuelectenerg-13520	236	15	known	know	VERB
fuelectenerg-13520	236	16	solution	solution	NOUN
fuelectenerg-13520	236	17	presented	present	VERB
fuelectenerg-13520	236	18	in	in	ADP
fuelectenerg-13520	236	19	[	[	X
fuelectenerg-13520	236	20	14	14	NUM
fuelectenerg-13520	236	21	]	]	PUNCT
fuelectenerg-13520	236	22	for	for	ADP
fuelectenerg-13520	236	23	generalized	generalized	ADJ
fuelectenerg-13520	236	24	chebyshev	chebyshev	NOUN
fuelectenerg-13520	236	25	filters	filter	NOUN
fuelectenerg-13520	236	26	.	.	PUNCT
fuelectenerg-13520	237	1	to	to	PART
fuelectenerg-13520	237	2	restore	restore	VERB
fuelectenerg-13520	237	3	the	the	DET
fuelectenerg-13520	237	4	half	half	ADJ
fuelectenerg-13520	237	5	-	-	PUNCT
fuelectenerg-13520	237	6	power	power	NOUN
fuelectenerg-13520	237	7	point	point	NOUN
fuelectenerg-13520	237	8	ωc	ωc	INTJ
fuelectenerg-13520	237	9	as	as	ADP
fuelectenerg-13520	237	10	the	the	DET
fuelectenerg-13520	237	11	edge	edge	NOUN
fuelectenerg-13520	237	12	of	of	ADP
fuelectenerg-13520	237	13	the	the	DET
fuelectenerg-13520	237	14	passband	passband	NOUN
fuelectenerg-13520	237	15	of	of	ADP
fuelectenerg-13520	237	16	the	the	DET
fuelectenerg-13520	237	17	optimum	optimum	ADJ
fuelectenerg-13520	237	18	c	c	NOUN
fuelectenerg-13520	237	19	filter	filter	NOUN
fuelectenerg-13520	237	20	,	,	PUNCT
fuelectenerg-13520	237	21	it	it	PRON
fuelectenerg-13520	237	22	is	be	AUX
fuelectenerg-13520	237	23	necessary	necessary	ADJ
fuelectenerg-13520	237	24	to	to	PART
fuelectenerg-13520	237	25	determine	determine	VERB
fuelectenerg-13520	237	26	the	the	DET
fuelectenerg-13520	237	27	frequency	frequency	NOUN
fuelectenerg-13520	237	28	at	at	ADP
fuelectenerg-13520	237	29	which	which	PRON
fuelectenerg-13520	237	30	(	(	PUNCT
fuelectenerg-13520	237	31	2	2	NUM
fuelectenerg-13520	237	32	)	)	PUNCT
fuelectenerg-13520	237	33	or	or	CCONJ
fuelectenerg-13520	237	34	(	(	PUNCT
fuelectenerg-13520	237	35	18	18	NUM
fuelectenerg-13520	237	36	)	)	PUNCT
fuelectenerg-13520	237	37	,	,	PUNCT
fuelectenerg-13520	237	38	multiplied	multiply	VERB
fuelectenerg-13520	237	39	by	by	ADP
fuelectenerg-13520	237	40	εo	εo	ADJ
fuelectenerg-13520	237	41	,	,	PUNCT
fuelectenerg-13520	237	42	first	first	ADV
fuelectenerg-13520	237	43	reaches	reach	VERB
fuelectenerg-13520	237	44	a	a	DET
fuelectenerg-13520	237	45	value	value	NOUN
fuelectenerg-13520	237	46	of	of	ADP
fuelectenerg-13520	237	47	1	1	NUM
fuelectenerg-13520	237	48	.	.	PUNCT
fuelectenerg-13520	238	1	this	this	PRON
fuelectenerg-13520	238	2	requires	require	VERB
fuelectenerg-13520	238	3	solving	solve	VERB
fuelectenerg-13520	238	4	the	the	DET
fuelectenerg-13520	238	5	equation2	equation2	PROPN
fuelectenerg-13520	238	6	εocn	εocn	NOUN
fuelectenerg-13520	238	7	,	,	PUNCT
fuelectenerg-13520	238	8	m(ω	m(ω	PROPN
fuelectenerg-13520	238	9	/	/	SYM
fuelectenerg-13520	238	10	ωr	ωr	NOUN
fuelectenerg-13520	238	11	)	)	PUNCT
fuelectenerg-13520	238	12	=	=	SYM
fuelectenerg-13520	238	13	1	1	X
fuelectenerg-13520	238	14	.	.	PUNCT
fuelectenerg-13520	239	1	the	the	DET
fuelectenerg-13520	239	2	solution	solution	NOUN
fuelectenerg-13520	239	3	is	be	AUX
fuelectenerg-13520	239	4	given	give	VERB
fuelectenerg-13520	239	5	by	by	ADP
fuelectenerg-13520	239	6	ωc	ωc	NOUN
fuelectenerg-13520	239	7	/	/	SYM
fuelectenerg-13520	239	8	ωr	ωr	NOUN
fuelectenerg-13520	239	9	=	=	SYM
fuelectenerg-13520	239	10	λ	λ	X
fuelectenerg-13520	239	11	>	>	X
fuelectenerg-13520	239	12	1	1	NUM
fuelectenerg-13520	239	13	,	,	PUNCT
fuelectenerg-13520	239	14	where	where	SCONJ
fuelectenerg-13520	239	15	λ	λ	PROPN
fuelectenerg-13520	239	16	is	be	AUX
fuelectenerg-13520	239	17	a	a	DET
fuelectenerg-13520	239	18	dimensionless	dimensionless	NOUN
fuelectenerg-13520	239	19	parameter	parameter	NOUN
fuelectenerg-13520	239	20	.	.	PUNCT
fuelectenerg-13520	240	1	the	the	DET
fuelectenerg-13520	240	2	new	new	ADJ
fuelectenerg-13520	240	3	value	value	NOUN
fuelectenerg-13520	240	4	of	of	ADP
fuelectenerg-13520	240	5	the	the	DET
fuelectenerg-13520	240	6	edge	edge	NOUN
fuelectenerg-13520	240	7	of	of	ADP
fuelectenerg-13520	240	8	the	the	DET
fuelectenerg-13520	240	9	ripple	ripple	ADJ
fuelectenerg-13520	240	10	band	band	NOUN
fuelectenerg-13520	240	11	,	,	PUNCT
fuelectenerg-13520	240	12	ωr	ωr	ADV
fuelectenerg-13520	240	13	=	=	PUNCT
fuelectenerg-13520	240	14	ωc	ωc	PROPN
fuelectenerg-13520	240	15	/	/	SYM
fuelectenerg-13520	240	16	λ	λ	PROPN
fuelectenerg-13520	240	17	,	,	PUNCT
fuelectenerg-13520	240	18	can	can	AUX
fuelectenerg-13520	240	19	be	be	AUX
fuelectenerg-13520	240	20	used	use	VERB
fuelectenerg-13520	240	21	to	to	PART
fuelectenerg-13520	240	22	renormalize	renormalize	VERB
fuelectenerg-13520	240	23	the	the	DET
fuelectenerg-13520	240	24	filtering	filter	VERB
fuelectenerg-13520	240	25	function	function	NOUN
fuelectenerg-13520	240	26	(	(	PUNCT
fuelectenerg-13520	240	27	18	18	NUM
fuelectenerg-13520	240	28	)	)	PUNCT
fuelectenerg-13520	240	29	to	to	ADP
fuelectenerg-13520	240	30	the	the	DET
fuelectenerg-13520	240	31	half	half	ADJ
fuelectenerg-13520	240	32	-	-	PUNCT
fuelectenerg-13520	240	33	power	power	NOUN
fuelectenerg-13520	240	34	bandwidth	bandwidth	NOUN
fuelectenerg-13520	240	35	.	.	PUNCT
fuelectenerg-13520	241	1	for	for	ADP
fuelectenerg-13520	241	2	convenience	convenience	NOUN
fuelectenerg-13520	241	3	and	and	CCONJ
fuelectenerg-13520	241	4	without	without	ADP
fuelectenerg-13520	241	5	loss	loss	NOUN
fuelectenerg-13520	241	6	of	of	ADP
fuelectenerg-13520	241	7	generality	generality	NOUN
fuelectenerg-13520	241	8	,	,	PUNCT
fuelectenerg-13520	241	9	the	the	DET
fuelectenerg-13520	241	10	half	half	ADJ
fuelectenerg-13520	241	11	-	-	PUNCT
fuelectenerg-13520	241	12	power	power	NOUN
fuelectenerg-13520	241	13	point	point	NOUN
fuelectenerg-13520	241	14	can	can	AUX
fuelectenerg-13520	241	15	be	be	AUX
fuelectenerg-13520	241	16	set	set	VERB
fuelectenerg-13520	241	17	to	to	ADP
fuelectenerg-13520	241	18	one	one	NUM
fuelectenerg-13520	241	19	(	(	PUNCT
fuelectenerg-13520	241	20	ωc	ωc	X
fuelectenerg-13520	241	21	=	=	SYM
fuelectenerg-13520	241	22	1	1	NUM
fuelectenerg-13520	241	23	)	)	PUNCT
fuelectenerg-13520	241	24	,	,	PUNCT
fuelectenerg-13520	241	25	resulting	result	VERB
fuelectenerg-13520	241	26	in	in	ADP
fuelectenerg-13520	241	27	a	a	DET
fuelectenerg-13520	241	28	new	new	ADJ
fuelectenerg-13520	241	29	ripple	ripple	ADJ
fuelectenerg-13520	241	30	band	band	NOUN
fuelectenerg-13520	241	31	edge	edge	NOUN
fuelectenerg-13520	241	32	of	of	ADP
fuelectenerg-13520	241	33	ωr	ωr	NOUN
fuelectenerg-13520	241	34	=	=	SYM
fuelectenerg-13520	241	35	1	1	NUM
fuelectenerg-13520	241	36	/	/	SYM
fuelectenerg-13520	241	37	λ	λ	X
fuelectenerg-13520	241	38	<	<	X
fuelectenerg-13520	241	39	1	1	NUM
fuelectenerg-13520	241	40	.	.	PUNCT
fuelectenerg-13520	242	1	this	this	DET
fuelectenerg-13520	242	2	value	value	NOUN
fuelectenerg-13520	242	3	is	be	AUX
fuelectenerg-13520	242	4	then	then	ADV
fuelectenerg-13520	242	5	used	use	VERB
fuelectenerg-13520	242	6	to	to	PART
fuelectenerg-13520	242	7	renormalize	renormalize	VERB
fuelectenerg-13520	242	8	the	the	DET
fuelectenerg-13520	242	9	optimum	optimum	ADJ
fuelectenerg-13520	242	10	rational	rational	ADJ
fuelectenerg-13520	242	11	c	c	NOUN
fuelectenerg-13520	242	12	filtering	filtering	NOUN
fuelectenerg-13520	242	13	function	function	NOUN
fuelectenerg-13520	242	14	.	.	PUNCT
fuelectenerg-13520	243	1	c(ε	c(ε	NOUN
fuelectenerg-13520	243	2	)	)	PUNCT
fuelectenerg-13520	243	3	n	n	CCONJ
fuelectenerg-13520	243	4	,	,	PUNCT
fuelectenerg-13520	243	5	m(ω	m(ω	PROPN
fuelectenerg-13520	243	6	)	)	PUNCT
fuelectenerg-13520	243	7	=	=	SYM
fuelectenerg-13520	243	8	εo	εo	NOUN
fuelectenerg-13520	243	9	nn(ω	nn(ω	NOUN
fuelectenerg-13520	243	10	)	)	PUNCT
fuelectenerg-13520	243	11	d2m(ω	d2m(ω	PROPN
fuelectenerg-13520	243	12	)	)	PUNCT
fuelectenerg-13520	243	13	∣∣∣∣	∣∣∣∣	NOUN
fuelectenerg-13520	243	14	ω	ω	NUM
fuelectenerg-13520	243	15	→ωλ	→ωλ	NOUN
fuelectenerg-13520	243	16	=	=	SYM
fuelectenerg-13520	243	17	nn(ω	nn(ω	NOUN
fuelectenerg-13520	243	18	)	)	PUNCT
fuelectenerg-13520	243	19	d2m(ω	d2m(ω	PROPN
fuelectenerg-13520	243	20	)	)	PUNCT
fuelectenerg-13520	243	21	(	(	PUNCT
fuelectenerg-13520	243	22	19	19	NUM
fuelectenerg-13520	243	23	)	)	PUNCT
fuelectenerg-13520	243	24	ensuring	ensure	VERB
fuelectenerg-13520	243	25	that	that	SCONJ
fuelectenerg-13520	243	26	c(ε	c(ε	PROPN
fuelectenerg-13520	243	27	)	)	PUNCT
fuelectenerg-13520	243	28	n	n	CCONJ
fuelectenerg-13520	243	29	,	,	PUNCT
fuelectenerg-13520	243	30	m(1	m(1	NOUN
fuelectenerg-13520	243	31	)	)	PUNCT
fuelectenerg-13520	244	1	=	=	SYM
fuelectenerg-13520	244	2	1	1	X
fuelectenerg-13520	244	3	.	.	PUNCT
fuelectenerg-13520	245	1	the	the	DET
fuelectenerg-13520	245	2	ripple	ripple	ADJ
fuelectenerg-13520	245	3	factor	factor	NOUN
fuelectenerg-13520	245	4	εo	εo	NOUN
fuelectenerg-13520	245	5	is	be	AUX
fuelectenerg-13520	245	6	an	an	DET
fuelectenerg-13520	245	7	embedded	embed	VERB
fuelectenerg-13520	245	8	parameter	parameter	NOUN
fuelectenerg-13520	245	9	in	in	ADP
fuelectenerg-13520	245	10	the	the	DET
fuelectenerg-13520	245	11	rational	rational	ADJ
fuelectenerg-13520	245	12	optimum	optimum	NOUN
fuelectenerg-13520	245	13	c	c	NOUN
fuelectenerg-13520	245	14	approximation	approximation	NOUN
fuelectenerg-13520	245	15	,	,	PUNCT
fuelectenerg-13520	245	16	arising	arise	VERB
fuelectenerg-13520	245	17	from	from	ADP
fuelectenerg-13520	245	18	the	the	DET
fuelectenerg-13520	245	19	renormalization	renormalization	NOUN
fuelectenerg-13520	245	20	process	process	NOUN
fuelectenerg-13520	245	21	related	relate	VERB
fuelectenerg-13520	245	22	to	to	ADP
fuelectenerg-13520	245	23	the	the	DET
fuelectenerg-13520	245	24	half	half	ADJ
fuelectenerg-13520	245	25	-	-	PUNCT
fuelectenerg-13520	245	26	power	power	NOUN
fuelectenerg-13520	245	27	bandwidth	bandwidth	NOUN
fuelectenerg-13520	245	28	.	.	PUNCT
fuelectenerg-13520	246	1	this	this	PRON
fuelectenerg-13520	246	2	is	be	AUX
fuelectenerg-13520	246	3	denoted	denote	VERB
fuelectenerg-13520	246	4	by	by	ADP
fuelectenerg-13520	246	5	the	the	DET
fuelectenerg-13520	246	6	superscript	superscript	PROPN
fuelectenerg-13520	246	7	(	(	PUNCT
fuelectenerg-13520	246	8	ε	ε	PROPN
fuelectenerg-13520	246	9	)	)	PUNCT
fuelectenerg-13520	246	10	in	in	ADP
fuelectenerg-13520	246	11	(	(	PUNCT
fuelectenerg-13520	246	12	19	19	NUM
fuelectenerg-13520	246	13	)	)	PUNCT
fuelectenerg-13520	246	14	.	.	PUNCT
fuelectenerg-13520	247	1	2.3	2.3	NUM
fuelectenerg-13520	247	2	.	.	PUNCT
fuelectenerg-13520	247	3	examples	example	NOUN
fuelectenerg-13520	247	4	and	and	CCONJ
fuelectenerg-13520	247	5	comparison	comparison	VERB
fuelectenerg-13520	247	6	the	the	DET
fuelectenerg-13520	247	7	frequency	frequency	NOUN
fuelectenerg-13520	247	8	responses	response	NOUN
fuelectenerg-13520	247	9	of	of	ADP
fuelectenerg-13520	247	10	the	the	DET
fuelectenerg-13520	247	11	filtering	filtering	NOUN
fuelectenerg-13520	247	12	functions	function	NOUN
fuelectenerg-13520	247	13	of	of	ADP
fuelectenerg-13520	247	14	the	the	DET
fuelectenerg-13520	247	15	optimum	optimum	ADJ
fuelectenerg-13520	247	16	7th	7th	ADJ
fuelectenerg-13520	247	17	-	-	PUNCT
fuelectenerg-13520	247	18	degree	degree	NOUN
fuelectenerg-13520	247	19	c	c	NOUN
fuelectenerg-13520	247	20	filter	filter	NOUN
fuelectenerg-13520	247	21	for	for	ADP
fuelectenerg-13520	247	22	m	m	PROPN
fuelectenerg-13520	247	23	=	=	SYM
fuelectenerg-13520	247	24	1	1	NUM
fuelectenerg-13520	247	25	,	,	PUNCT
fuelectenerg-13520	247	26	2	2	NUM
fuelectenerg-13520	247	27	and	and	CCONJ
fuelectenerg-13520	247	28	3	3	NUM
fuelectenerg-13520	247	29	,	,	PUNCT
fuelectenerg-13520	247	30	expressed	express	VERB
fuelectenerg-13520	247	31	in	in	ADP
fuelectenerg-13520	247	32	the	the	DET
fuelectenerg-13520	247	33	rational	rational	ADJ
fuelectenerg-13520	247	34	polynomial	polynomial	ADJ
fuelectenerg-13520	247	35	form	form	NOUN
fuelectenerg-13520	247	36	(	(	PUNCT
fuelectenerg-13520	247	37	18	18	NUM
fuelectenerg-13520	247	38	)	)	PUNCT
fuelectenerg-13520	247	39	and	and	CCONJ
fuelectenerg-13520	247	40	scaled	scale	VERB
fuelectenerg-13520	247	41	by	by	ADP
fuelectenerg-13520	247	42	εo	εo	NOUN
fuelectenerg-13520	247	43	,	,	PUNCT
fuelectenerg-13520	247	44	are	be	AUX
fuelectenerg-13520	247	45	shown	show	VERB
fuelectenerg-13520	247	46	in	in	ADP
fuelectenerg-13520	247	47	fig	fig	NOUN
fuelectenerg-13520	247	48	.	.	PUNCT
fuelectenerg-13520	248	1	1	1	X
fuelectenerg-13520	248	2	.	.	X
fuelectenerg-13520	248	3	to	to	PART
fuelectenerg-13520	248	4	illustrate	illustrate	VERB
fuelectenerg-13520	248	5	that	that	SCONJ
fuelectenerg-13520	248	6	the	the	DET
fuelectenerg-13520	248	7	ripples	ripple	NOUN
fuelectenerg-13520	248	8	are	be	AUX
fuelectenerg-13520	248	9	equal	equal	ADJ
fuelectenerg-13520	248	10	,	,	PUNCT
fuelectenerg-13520	248	11	the	the	DET
fuelectenerg-13520	248	12	scale	scale	NOUN
fuelectenerg-13520	248	13	within	within	ADP
fuelectenerg-13520	248	14	the	the	DET
fuelectenerg-13520	248	15	ripple	ripple	ADJ
fuelectenerg-13520	248	16	band	band	NOUN
fuelectenerg-13520	248	17	−1	−1	NOUN
fuelectenerg-13520	248	18	≤	≤	NUM
fuelectenerg-13520	248	19	ω	ω	NUM
fuelectenerg-13520	248	20	≤	≤	NUM
fuelectenerg-13520	248	21	1	1	NUM
fuelectenerg-13520	248	22	is	be	AUX
fuelectenerg-13520	248	23	magnified	magnify	VERB
fuelectenerg-13520	248	24	1000	1000	NUM
fuelectenerg-13520	248	25	times	time	NOUN
fuelectenerg-13520	248	26	.	.	PUNCT
fuelectenerg-13520	249	1	the	the	DET
fuelectenerg-13520	249	2	ripples	ripple	NOUN
fuelectenerg-13520	249	3	reach	reach	VERB
fuelectenerg-13520	249	4	values	value	NOUN
fuelectenerg-13520	249	5	of	of	ADP
fuelectenerg-13520	249	6	±εo	±εo	PROPN
fuelectenerg-13520	249	7	at	at	ADP
fuelectenerg-13520	249	8	the	the	DET
fuelectenerg-13520	249	9	edges	edge	NOUN
fuelectenerg-13520	249	10	of	of	ADP
fuelectenerg-13520	249	11	the	the	DET
fuelectenerg-13520	249	12	ripple	ripple	ADJ
fuelectenerg-13520	249	13	band	band	NOUN
fuelectenerg-13520	249	14	ωr	ωr	X
fuelectenerg-13520	250	1	=	=	NOUN
fuelectenerg-13520	251	1	1	1	X
fuelectenerg-13520	251	2	.	.	PUNCT
fuelectenerg-13520	251	3	-4	-4	INTJ
fuelectenerg-13520	252	1	-3	-3	INTJ
fuelectenerg-13520	252	2	-2	-2	INTJ
fuelectenerg-13520	252	3	-1	-1	SYM
fuelectenerg-13520	252	4	0	0	NUM
fuelectenerg-13520	252	5	1	1	NUM
fuelectenerg-13520	252	6	2	2	NUM
fuelectenerg-13520	252	7	3	3	NUM
fuelectenerg-13520	252	8	4	4	NUM
fuelectenerg-13520	252	9	normalized	normalize	VERB
fuelectenerg-13520	252	10	frequency	frequency	NOUN
fuelectenerg-13520	252	11	,	,	PUNCT
fuelectenerg-13520	252	12	ω	ω	PROPN
fuelectenerg-13520	253	1	-600	-600	NUM
fuelectenerg-13520	253	2	-400	-400	NUM
fuelectenerg-13520	254	1	-200	-200	NUM
fuelectenerg-13520	254	2	0	0	NUM
fuelectenerg-13520	254	3	200	200	NUM
fuelectenerg-13520	254	4	400	400	NUM
fuelectenerg-13520	254	5	600	600	NUM
fuelectenerg-13520	254	6	ǫ	ǫ	NOUN
fuelectenerg-13520	254	7	o	o	NOUN
fuelectenerg-13520	254	8	c	c	NOUN
fuelectenerg-13520	254	9	n	n	PROPN
fuelectenerg-13520	254	10	,	,	PUNCT
fuelectenerg-13520	254	11	m	m	PROPN
fuelectenerg-13520	254	12	(	(	PUNCT
fuelectenerg-13520	254	13	ω	ω	PROPN
fuelectenerg-13520	254	14	)	)	PUNCT
fuelectenerg-13520	254	15	e	e	NOUN
fuelectenerg-13520	254	16	n	n	X
fuelectenerg-13520	254	17	la	la	X
fuelectenerg-13520	254	18	rg	rg	PROPN
fuelectenerg-13520	254	19	ed	ed	PROPN
fuelectenerg-13520	254	20	sc	sc	PROPN
fuelectenerg-13520	254	21	al	al	PROPN
fuelectenerg-13520	254	22	e	e	PROPN
fuelectenerg-13520	254	23	in	in	ADP
fuelectenerg-13520	254	24	p	p	PROPN
fuelectenerg-13520	254	25	as	as	ADP
fuelectenerg-13520	254	26	sb	sb	PROPN
fuelectenerg-13520	254	27	an	an	PRON
fuelectenerg-13520	254	28	d	d	PROPN
fuelectenerg-13520	254	29	0.2	0.2	NUM
fuelectenerg-13520	254	30	-0.2	-0.2	NUM
fuelectenerg-13520	254	31	m	m	NOUN
fuelectenerg-13520	254	32	=	=	NOUN
fuelectenerg-13520	254	33	1	1	NUM
fuelectenerg-13520	254	34	m	m	NOUN
fuelectenerg-13520	254	35	=	=	SYM
fuelectenerg-13520	254	36	2	2	NUM
fuelectenerg-13520	254	37	m	m	NOUN
fuelectenerg-13520	254	38	=	=	SYM
fuelectenerg-13520	254	39	3	3	NUM
fuelectenerg-13520	254	40	fig	fig	NOUN
fuelectenerg-13520	254	41	.	.	PUNCT
fuelectenerg-13520	255	1	1	1	X
fuelectenerg-13520	255	2	.	.	X
fuelectenerg-13520	255	3	the	the	DET
fuelectenerg-13520	255	4	7th	7th	ADJ
fuelectenerg-13520	255	5	-	-	PUNCT
fuelectenerg-13520	255	6	degree	degree	NOUN
fuelectenerg-13520	255	7	optimum	optimum	NOUN
fuelectenerg-13520	255	8	c	c	NOUN
fuelectenerg-13520	255	9	filtering	filtering	NOUN
fuelectenerg-13520	255	10	functions	function	NOUN
fuelectenerg-13520	255	11	,	,	PUNCT
fuelectenerg-13520	255	12	ils	ils	X
fuelectenerg-13520	255	13	=	=	VERB
fuelectenerg-13520	255	14	50	50	NUM
fuelectenerg-13520	255	15	db	db	NOUN
fuelectenerg-13520	255	16	.	.	PUNCT
fuelectenerg-13520	256	1	the	the	DET
fuelectenerg-13520	256	2	calculation	calculation	NOUN
fuelectenerg-13520	256	3	of	of	ADP
fuelectenerg-13520	256	4	the	the	DET
fuelectenerg-13520	256	5	rational	rational	ADJ
fuelectenerg-13520	256	6	optimum	optimum	NOUN
fuelectenerg-13520	256	7	c	c	NOUN
fuelectenerg-13520	256	8	filtering	filtering	NOUN
fuelectenerg-13520	256	9	function	function	NOUN
fuelectenerg-13520	256	10	(	(	PUNCT
fuelectenerg-13520	256	11	18	18	NUM
fuelectenerg-13520	256	12	)	)	PUNCT
fuelectenerg-13520	256	13	,	,	PUNCT
fuelectenerg-13520	256	14	which	which	PRON
fuelectenerg-13520	256	15	features	feature	VERB
fuelectenerg-13520	256	16	a	a	DET
fuelectenerg-13520	256	17	pair	pair	NOUN
fuelectenerg-13520	256	18	of	of	ADP
fuelectenerg-13520	256	19	triple	triple	ADJ
fuelectenerg-13520	256	20	poles	pole	NOUN
fuelectenerg-13520	256	21	whose	whose	DET
fuelectenerg-13520	256	22	properties	property	NOUN
fuelectenerg-13520	256	23	are	be	AUX
fuelectenerg-13520	256	24	summarized	summarize	VERB
fuelectenerg-13520	256	25	in	in	ADP
fuelectenerg-13520	256	26	table	table	NOUN
fuelectenerg-13520	256	27	1	1	NUM
fuelectenerg-13520	256	28	,	,	PUNCT
fuelectenerg-13520	256	29	is	be	AUX
fuelectenerg-13520	256	30	presented	present	VERB
fuelectenerg-13520	256	31	.	.	PUNCT
fuelectenerg-13520	257	1	the	the	DET
fuelectenerg-13520	257	2	2this	2this	NUM
fuelectenerg-13520	257	3	calculation	calculation	NOUN
fuelectenerg-13520	257	4	explicitly	explicitly	ADV
fuelectenerg-13520	257	5	states	state	VERB
fuelectenerg-13520	257	6	that	that	SCONJ
fuelectenerg-13520	257	7	ωr	ωr	ADP
fuelectenerg-13520	257	8	̸=	̸=	PROPN
fuelectenerg-13520	257	9	1	1	NUM
fuelectenerg-13520	257	10	can	can	AUX
fuelectenerg-13520	257	11	be	be	AUX
fuelectenerg-13520	257	12	used	use	VERB
fuelectenerg-13520	257	13	for	for	ADP
fuelectenerg-13520	257	14	frequency	frequency	NOUN
fuelectenerg-13520	257	15	renormalization	renormalization	NOUN
fuelectenerg-13520	257	16	.	.	PUNCT
fuelectenerg-13520	258	1	46	46	NUM
fuelectenerg-13520	258	2	n.	n.	PROPN
fuelectenerg-13520	258	3	stojanović	stojanović	PROPN
fuelectenerg-13520	258	4	,	,	PUNCT
fuelectenerg-13520	258	5	i.	i.	PROPN
fuelectenerg-13520	258	6	krstić	krstić	PROPN
fuelectenerg-13520	258	7	,	,	PUNCT
fuelectenerg-13520	258	8	n.	n.	PROPN
fuelectenerg-13520	258	9	stamenković	stamenković	VERB
fuelectenerg-13520	258	10	optimum	optimum	PROPN
fuelectenerg-13520	258	11	chebyshev	chebyshev	PROPN
fuelectenerg-13520	258	12	lowpass	lowpass	NOUN
fuelectenerg-13520	258	13	filter	filter	NOUN
fuelectenerg-13520	258	14	with	with	ADP
fuelectenerg-13520	258	15	a	a	DET
fuelectenerg-13520	258	16	pair	pair	NOUN
fuelectenerg-13520	258	17	of	of	ADP
fuelectenerg-13520	258	18	imaginary	imaginary	ADJ
fuelectenerg-13520	258	19	-	-	PUNCT
fuelectenerg-13520	258	20	axis	axis	NOUN
fuelectenerg-13520	258	21	zeros	zero	NOUN
fuelectenerg-13520	258	22	47	47	NUM
fuelectenerg-13520	258	23	106	106	NUM
fuelectenerg-13520	258	24	n.	n.	NOUN
fuelectenerg-13520	258	25	stojanović	stojanović	PROPN
fuelectenerg-13520	258	26	,	,	PUNCT
fuelectenerg-13520	258	27	i.	i.	PROPN
fuelectenerg-13520	258	28	krstić	krstić	PROPN
fuelectenerg-13520	258	29	,	,	PUNCT
fuelectenerg-13520	258	30	n.	n.	PROPN
fuelectenerg-13520	258	31	stamenković	stamenković	NOUN
fuelectenerg-13520	258	32	optimum	optimum	ADJ
fuelectenerg-13520	258	33	ripple	ripple	ADJ
fuelectenerg-13520	258	34	factor	factor	NOUN
fuelectenerg-13520	258	35	is	be	AUX
fuelectenerg-13520	258	36	εo	εo	NOUN
fuelectenerg-13520	258	37	=	=	SYM
fuelectenerg-13520	258	38	0.0935	0.0935	NUM
fuelectenerg-13520	258	39	,	,	PUNCT
fuelectenerg-13520	258	40	while	while	SCONJ
fuelectenerg-13520	258	41	the	the	DET
fuelectenerg-13520	258	42	coefficient	coefficient	NOUN
fuelectenerg-13520	258	43	χ	χ	X
fuelectenerg-13520	258	44	=	=	SYM
fuelectenerg-13520	258	45	1.611042	1.611042	NUM
fuelectenerg-13520	258	46	,	,	PUNCT
fuelectenerg-13520	258	47	is	be	AUX
fuelectenerg-13520	258	48	determined	determine	VERB
fuelectenerg-13520	258	49	to	to	PART
fuelectenerg-13520	258	50	achieve	achieve	VERB
fuelectenerg-13520	258	51	a	a	DET
fuelectenerg-13520	258	52	minimum	minimum	ADJ
fuelectenerg-13520	258	53	stopband	stopband	NOUN
fuelectenerg-13520	258	54	insertion	insertion	NOUN
fuelectenerg-13520	258	55	loss	loss	NOUN
fuelectenerg-13520	258	56	of	of	ADP
fuelectenerg-13520	258	57	ils	ils	X
fuelectenerg-13520	258	58	=	=	PROPN
fuelectenerg-13520	258	59	50	50	NUM
fuelectenerg-13520	258	60	db	db	NOUN
fuelectenerg-13520	258	61	(	(	PUNCT
fuelectenerg-13520	258	62	or	or	CCONJ
fuelectenerg-13520	258	63	316.1867	316.1867	NUM
fuelectenerg-13520	258	64	times	time	NOUN
fuelectenerg-13520	258	65	)	)	PUNCT
fuelectenerg-13520	258	66	.	.	PUNCT
fuelectenerg-13520	259	1	the	the	DET
fuelectenerg-13520	259	2	two	two	NUM
fuelectenerg-13520	259	3	auxiliary	auxiliary	ADJ
fuelectenerg-13520	259	4	polynomials	polynomial	NOUN
fuelectenerg-13520	259	5	are	be	AUX
fuelectenerg-13520	259	6	given	give	VERB
fuelectenerg-13520	259	7	by	by	ADP
fuelectenerg-13520	259	8	:	:	PUNCT
fuelectenerg-13520	259	9	a6(ω	a6(ω	X
fuelectenerg-13520	259	10	)	)	PUNCT
fuelectenerg-13520	259	11	=	=	SYM
fuelectenerg-13520	259	12	281.86ω6	281.86ω6	NUM
fuelectenerg-13520	259	13	−	−	NOUN
fuelectenerg-13520	259	14	473.981ω4	473.981ω4	NUM
fuelectenerg-13520	259	15	+	+	CCONJ
fuelectenerg-13520	259	16	213.666ω2	213.666ω2	NUM
fuelectenerg-13520	259	17	−	−	NOUN
fuelectenerg-13520	259	18	17.484	17.484	NUM
fuelectenerg-13520	259	19	,	,	PUNCT
fuelectenerg-13520	259	20	b7(ω	b7(ω	NOUN
fuelectenerg-13520	259	21	)	)	PUNCT
fuelectenerg-13520	259	22	=	=	PUNCT
fuelectenerg-13520	260	1	281.858ω7	281.858ω7	NUM
fuelectenerg-13520	260	2	−	−	NOUN
fuelectenerg-13520	260	3	614.885ω5	614.885ω5	NOUN
fuelectenerg-13520	261	1	+	+	CCONJ
fuelectenerg-13520	261	2	415.276ω3	415.276ω3	NUM
fuelectenerg-13520	261	3	−	−	NUM
fuelectenerg-13520	261	4	82.248ω	82.248ω	NUM
fuelectenerg-13520	261	5	these	these	DET
fuelectenerg-13520	261	6	polynomials	polynomial	NOUN
fuelectenerg-13520	261	7	,	,	PUNCT
fuelectenerg-13520	261	8	along	along	ADP
fuelectenerg-13520	261	9	with	with	ADP
fuelectenerg-13520	261	10	the	the	DET
fuelectenerg-13520	261	11	first	first	ADJ
fuelectenerg-13520	261	12	-	-	PUNCT
fuelectenerg-13520	261	13	degree	degree	NOUN
fuelectenerg-13520	261	14	chebyshev	chebyshev	NOUN
fuelectenerg-13520	261	15	polynomial	polynomial	NOUN
fuelectenerg-13520	261	16	of	of	ADP
fuelectenerg-13520	261	17	the	the	DET
fuelectenerg-13520	261	18	first	first	ADJ
fuelectenerg-13520	261	19	kind	kind	NOUN
fuelectenerg-13520	261	20	and	and	CCONJ
fuelectenerg-13520	261	21	the	the	DET
fuelectenerg-13520	261	22	zero	zero	NUM
fuelectenerg-13520	261	23	-	-	PUNCT
fuelectenerg-13520	261	24	degree	degree	NOUN
fuelectenerg-13520	261	25	chebyshev	chebyshev	NOUN
fuelectenerg-13520	261	26	polynomial	polynomial	NOUN
fuelectenerg-13520	261	27	of	of	ADP
fuelectenerg-13520	261	28	the	the	DET
fuelectenerg-13520	261	29	second	second	ADJ
fuelectenerg-13520	261	30	kind	kind	NOUN
fuelectenerg-13520	261	31	,	,	PUNCT
fuelectenerg-13520	261	32	are	be	AUX
fuelectenerg-13520	261	33	used	use	VERB
fuelectenerg-13520	261	34	to	to	PART
fuelectenerg-13520	261	35	construct	construct	VERB
fuelectenerg-13520	261	36	the	the	DET
fuelectenerg-13520	261	37	rational	rational	ADJ
fuelectenerg-13520	261	38	polynomial	polynomial	ADJ
fuelectenerg-13520	261	39	form	form	NOUN
fuelectenerg-13520	261	40	of	of	ADP
fuelectenerg-13520	261	41	the	the	DET
fuelectenerg-13520	261	42	optimum	optimum	ADJ
fuelectenerg-13520	261	43	c	c	NOUN
fuelectenerg-13520	261	44	filtering	filtering	NOUN
fuelectenerg-13520	261	45	function	function	NOUN
fuelectenerg-13520	261	46	(	(	PUNCT
fuelectenerg-13520	261	47	18	18	NUM
fuelectenerg-13520	261	48	)	)	PUNCT
fuelectenerg-13520	261	49	,	,	PUNCT
fuelectenerg-13520	261	50	multiplied	multiply	VERB
fuelectenerg-13520	261	51	by	by	ADP
fuelectenerg-13520	261	52	εo	εo	ADJ
fuelectenerg-13520	261	53	:	:	PUNCT
fuelectenerg-13520	261	54	c7,3(ω	c7,3(ω	NOUN
fuelectenerg-13520	261	55	)	)	PUNCT
fuelectenerg-13520	261	56	=	=	PUNCT
fuelectenerg-13520	262	1	0.0935	0.0935	NUM
fuelectenerg-13520	262	2	−52.712ω7	−52.712ω7	NOUN
fuelectenerg-13520	262	3	+	+	CCONJ
fuelectenerg-13520	262	4	101.817ω5	101.817ω5	NUM
fuelectenerg-13520	262	5	−	−	PROPN
fuelectenerg-13520	262	6	58.8106ω3	58.8106ω3	PROPN
fuelectenerg-13520	262	7	+	+	NUM
fuelectenerg-13520	262	8	9.32565ω	9.32565ω	NUM
fuelectenerg-13520	262	9	(	(	PUNCT
fuelectenerg-13520	262	10	ω2	ω2	ADV
fuelectenerg-13520	262	11	−	−	PROPN
fuelectenerg-13520	262	12	2.59551)3	2.59551)3	NOUN
fuelectenerg-13520	262	13	(	(	PUNCT
fuelectenerg-13520	262	14	20	20	NUM
fuelectenerg-13520	262	15	)	)	PUNCT
fuelectenerg-13520	262	16	ensuring	ensure	VERB
fuelectenerg-13520	262	17	that	that	SCONJ
fuelectenerg-13520	262	18	c7,3(1	c7,3(1	NOUN
fuelectenerg-13520	262	19	)	)	PUNCT
fuelectenerg-13520	262	20	=	=	SYM
fuelectenerg-13520	263	1	0.00935	0.00935	NUM
fuelectenerg-13520	263	2	.	.	PUNCT
fuelectenerg-13520	264	1	to	to	PART
fuelectenerg-13520	264	2	achieve	achieve	VERB
fuelectenerg-13520	264	3	a	a	DET
fuelectenerg-13520	264	4	normalized	normalize	VERB
fuelectenerg-13520	264	5	half	half	ADJ
fuelectenerg-13520	264	6	-	-	PUNCT
fuelectenerg-13520	264	7	power	power	NOUN
fuelectenerg-13520	264	8	bandwidth	bandwidth	NOUN
fuelectenerg-13520	264	9	of	of	ADP
fuelectenerg-13520	264	10	one	one	NUM
fuelectenerg-13520	264	11	,	,	PUNCT
fuelectenerg-13520	264	12	the	the	DET
fuelectenerg-13520	264	13	parameter	parameter	NOUN
fuelectenerg-13520	264	14	λ	λ	PROPN
fuelectenerg-13520	264	15	=	=	NOUN
fuelectenerg-13520	264	16	1.060296	1.060296	NUM
fuelectenerg-13520	264	17	is	be	AUX
fuelectenerg-13520	264	18	calculated	calculate	VERB
fuelectenerg-13520	264	19	for	for	ADP
fuelectenerg-13520	264	20	the	the	DET
fuelectenerg-13520	264	21	final	final	ADJ
fuelectenerg-13520	264	22	renormalization	renormalization	NOUN
fuelectenerg-13520	264	23	of	of	ADP
fuelectenerg-13520	264	24	equation	equation	NOUN
fuelectenerg-13520	264	25	(	(	PUNCT
fuelectenerg-13520	264	26	20	20	NUM
fuelectenerg-13520	264	27	)	)	PUNCT
fuelectenerg-13520	264	28	multiplied	multiply	VERB
fuelectenerg-13520	264	29	with	with	ADP
fuelectenerg-13520	264	30	the	the	DET
fuelectenerg-13520	264	31	optimum	optimum	ADJ
fuelectenerg-13520	264	32	ripple	ripple	ADJ
fuelectenerg-13520	264	33	factor	factor	NOUN
fuelectenerg-13520	264	34	.	.	PUNCT
fuelectenerg-13520	265	1	this	this	PRON
fuelectenerg-13520	265	2	yields	yield	VERB
fuelectenerg-13520	265	3	the	the	DET
fuelectenerg-13520	265	4	final	final	ADJ
fuelectenerg-13520	265	5	rational	rational	ADJ
fuelectenerg-13520	265	6	optimum	optimum	NOUN
fuelectenerg-13520	265	7	c	c	NOUN
fuelectenerg-13520	265	8	filtering	filtering	NOUN
fuelectenerg-13520	265	9	function	function	NOUN
fuelectenerg-13520	265	10	(	(	PUNCT
fuelectenerg-13520	265	11	19	19	NUM
fuelectenerg-13520	265	12	):	):	PUNCT
fuelectenerg-13520	265	13	c(ε	c(ε	PROPN
fuelectenerg-13520	265	14	)	)	PUNCT
fuelectenerg-13520	265	15	7,3(ω	7,3(ω	NUM
fuelectenerg-13520	265	16	)	)	PUNCT
fuelectenerg-13520	265	17	=	=	SYM
fuelectenerg-13520	265	18	nn(ω	nn(ω	NOUN
fuelectenerg-13520	265	19	)	)	PUNCT
fuelectenerg-13520	265	20	d2m(ω	d2m(ω	PROPN
fuelectenerg-13520	265	21	)	)	PUNCT
fuelectenerg-13520	266	1	=	=	SYM
fuelectenerg-13520	266	2	−79.408ω7	−79.408ω7	NOUN
fuelectenerg-13520	266	3	+	+	CCONJ
fuelectenerg-13520	267	1	136.43ω5	136.43ω5	NUM
fuelectenerg-13520	267	2	−	−	NOUN
fuelectenerg-13520	267	3	70.098ω3	70.098ω3	NUM
fuelectenerg-13520	267	4	+	+	CCONJ
fuelectenerg-13520	267	5	9.8872ω	9.8872ω	NUM
fuelectenerg-13520	267	6	(	(	PUNCT
fuelectenerg-13520	267	7	1.1242ω2	1.1242ω2	NUM
fuelectenerg-13520	267	8	−	−	NOUN
fuelectenerg-13520	267	9	2.59546)3	2.59546)3	NUM
fuelectenerg-13520	267	10	ensuring	ensure	VERB
fuelectenerg-13520	268	1	that	that	SCONJ
fuelectenerg-13520	268	2	c(ε	c(ε	PROPN
fuelectenerg-13520	268	3	)	)	PUNCT
fuelectenerg-13520	268	4	7,3(1	7,3(1	X
fuelectenerg-13520	268	5	)	)	PUNCT
fuelectenerg-13520	269	1	=	=	SYM
fuelectenerg-13520	269	2	1	1	X
fuelectenerg-13520	269	3	.	.	X
fuelectenerg-13520	270	1	for	for	ADP
fuelectenerg-13520	270	2	comparison	comparison	NOUN
fuelectenerg-13520	270	3	,	,	PUNCT
fuelectenerg-13520	270	4	the	the	DET
fuelectenerg-13520	270	5	properties	property	NOUN
fuelectenerg-13520	270	6	of	of	ADP
fuelectenerg-13520	270	7	other	other	ADJ
fuelectenerg-13520	270	8	optimum	optimum	ADJ
fuelectenerg-13520	270	9	c	c	NOUN
fuelectenerg-13520	270	10	filtering	filtering	NOUN
fuelectenerg-13520	270	11	functions	function	NOUN
fuelectenerg-13520	270	12	of	of	ADP
fuelectenerg-13520	270	13	the	the	DET
fuelectenerg-13520	270	14	7th	7th	ADJ
fuelectenerg-13520	270	15	-	-	PUNCT
fuelectenerg-13520	270	16	degree	degree	NOUN
fuelectenerg-13520	270	17	are	be	AUX
fuelectenerg-13520	270	18	also	also	ADV
fuelectenerg-13520	270	19	listed	list	VERB
fuelectenerg-13520	270	20	in	in	ADP
fuelectenerg-13520	270	21	table	table	NOUN
fuelectenerg-13520	270	22	1	1	NUM
fuelectenerg-13520	270	23	.	.	PUNCT
fuelectenerg-13520	271	1	in	in	ADP
fuelectenerg-13520	271	2	all	all	DET
fuelectenerg-13520	271	3	approximations	approximation	NOUN
fuelectenerg-13520	271	4	,	,	PUNCT
fuelectenerg-13520	271	5	the	the	DET
fuelectenerg-13520	271	6	optimum	optimum	ADJ
fuelectenerg-13520	271	7	value	value	NOUN
fuelectenerg-13520	271	8	of	of	ADP
fuelectenerg-13520	271	9	the	the	DET
fuelectenerg-13520	271	10	ripple	ripple	ADJ
fuelectenerg-13520	271	11	factor	factor	NOUN
fuelectenerg-13520	271	12	,	,	PUNCT
fuelectenerg-13520	271	13	εo	εo	NOUN
fuelectenerg-13520	271	14	=	=	SYM
fuelectenerg-13520	271	15	0.0935	0.0935	NUM
fuelectenerg-13520	271	16	,	,	PUNCT
fuelectenerg-13520	271	17	is	be	AUX
fuelectenerg-13520	271	18	used	use	VERB
fuelectenerg-13520	271	19	to	to	PART
fuelectenerg-13520	271	20	calculate	calculate	VERB
fuelectenerg-13520	271	21	χ	χ	NOUN
fuelectenerg-13520	271	22	,	,	PUNCT
fuelectenerg-13520	271	23	ensuring	ensure	VERB
fuelectenerg-13520	271	24	an	an	DET
fuelectenerg-13520	271	25	insertion	insertion	NOUN
fuelectenerg-13520	271	26	loss	loss	NOUN
fuelectenerg-13520	271	27	of	of	ADP
fuelectenerg-13520	271	28	ils	ils	X
fuelectenerg-13520	271	29	=	=	PROPN
fuelectenerg-13520	271	30	50	50	NUM
fuelectenerg-13520	271	31	db	db	NOUN
fuelectenerg-13520	271	32	at	at	ADP
fuelectenerg-13520	271	33	the	the	DET
fuelectenerg-13520	271	34	frequency	frequency	NOUN
fuelectenerg-13520	271	35	ωm	ωm	X
fuelectenerg-13520	271	36	.	.	NOUN
fuelectenerg-13520	271	37	table	table	NOUN
fuelectenerg-13520	271	38	1	1	NUM
fuelectenerg-13520	271	39	.	.	PUNCT
fuelectenerg-13520	272	1	properties	property	NOUN
fuelectenerg-13520	272	2	of	of	ADP
fuelectenerg-13520	272	3	the	the	DET
fuelectenerg-13520	272	4	7th	7th	ADJ
fuelectenerg-13520	272	5	-	-	PUNCT
fuelectenerg-13520	272	6	degree	degree	NOUN
fuelectenerg-13520	272	7	optimum	optimum	NOUN
fuelectenerg-13520	272	8	c	c	NOUN
fuelectenerg-13520	272	9	filtering	filtering	NOUN
fuelectenerg-13520	272	10	functions	function	NOUN
fuelectenerg-13520	272	11	properties	property	NOUN
fuelectenerg-13520	272	12	characteristic	characteristic	ADJ
fuelectenerg-13520	272	13	function	function	NOUN
fuelectenerg-13520	272	14	m	m	NOUN
fuelectenerg-13520	272	15	=	=	SYM
fuelectenerg-13520	272	16	0	0	NUM
fuelectenerg-13520	272	17	m	m	VERB
fuelectenerg-13520	272	18	=	=	NOUN
fuelectenerg-13520	272	19	1	1	NUM
fuelectenerg-13520	272	20	m	m	NOUN
fuelectenerg-13520	272	21	=	=	SYM
fuelectenerg-13520	272	22	2	2	NUM
fuelectenerg-13520	272	23	m	m	NOUN
fuelectenerg-13520	272	24	=	=	SYM
fuelectenerg-13520	272	25	3	3	NUM
fuelectenerg-13520	272	26	λ	λ	PROPN
fuelectenerg-13520	272	27	1.097126	1.097126	NUM
fuelectenerg-13520	272	28	1.077877	1.077877	NUM
fuelectenerg-13520	272	29	1.062136	1.062136	NUM
fuelectenerg-13520	272	30	1.060296	1.060296	NUM
fuelectenerg-13520	272	31	χ	χ	NOUN
fuelectenerg-13520	272	32	∞	∞	NUM
fuelectenerg-13520	272	33	1.500606	1.500606	NUM
fuelectenerg-13520	272	34	1.455552	1.455552	NUM
fuelectenerg-13520	272	35	1.611042	1.611042	NUM
fuelectenerg-13520	272	36	ωm	ωm	PUNCT
fuelectenerg-13520	272	37	none	none	NOUN
fuelectenerg-13520	272	38	1.709891	1.709891	NUM
fuelectenerg-13520	272	39	2.042391	2.042391	NUM
fuelectenerg-13520	272	40	3.847784	3.847784	NUM
fuelectenerg-13520	272	41	ωr	ωr	ADP
fuelectenerg-13520	272	42	0.911472	0.911472	NUM
fuelectenerg-13520	272	43	0.927748	0.927748	NUM
fuelectenerg-13520	272	44	0.941498	0.941498	NUM
fuelectenerg-13520	272	45	0.943132	0.943132	NUM
fuelectenerg-13520	272	46	area	area	NOUN
fuelectenerg-13520	272	47	0.028670	0.028670	NUM
fuelectenerg-13520	272	48	0.023813	0.023813	NUM
fuelectenerg-13520	272	49	0.019922	0.019922	NUM
fuelectenerg-13520	272	50	0.019531	0.019531	NUM
fuelectenerg-13520	272	51	table	table	NOUN
fuelectenerg-13520	272	52	1	1	NUM
fuelectenerg-13520	272	53	provides	provide	VERB
fuelectenerg-13520	272	54	a	a	DET
fuelectenerg-13520	272	55	two	two	NUM
fuelectenerg-13520	272	56	-	-	PUNCT
fuelectenerg-13520	272	57	part	part	NOUN
fuelectenerg-13520	272	58	comparison	comparison	NOUN
fuelectenerg-13520	272	59	:	:	PUNCT
fuelectenerg-13520	272	60	the	the	DET
fuelectenerg-13520	272	61	first	first	ADJ
fuelectenerg-13520	272	62	part	part	NOUN
fuelectenerg-13520	272	63	contrasts	contrast	VERB
fuelectenerg-13520	272	64	the	the	DET
fuelectenerg-13520	272	65	all	all	DET
fuelectenerg-13520	272	66	-	-	PUNCT
fuelectenerg-13520	272	67	pole	pole	NOUN
fuelectenerg-13520	272	68	optimum	optimum	NOUN
fuelectenerg-13520	272	69	c	c	NOUN
fuelectenerg-13520	272	70	characteristic	characteristic	ADJ
fuelectenerg-13520	272	71	function	function	NOUN
fuelectenerg-13520	272	72	with	with	ADP
fuelectenerg-13520	272	73	its	its	PRON
fuelectenerg-13520	272	74	rational	rational	ADJ
fuelectenerg-13520	272	75	counterparts	counterpart	NOUN
fuelectenerg-13520	272	76	,	,	PUNCT
fuelectenerg-13520	272	77	while	while	SCONJ
fuelectenerg-13520	272	78	the	the	DET
fuelectenerg-13520	272	79	second	second	ADJ
fuelectenerg-13520	272	80	part	part	NOUN
fuelectenerg-13520	272	81	compares	compare	VERB
fuelectenerg-13520	272	82	the	the	DET
fuelectenerg-13520	272	83	rational	rational	ADJ
fuelectenerg-13520	272	84	optimum	optimum	ADJ
fuelectenerg-13520	272	85	c	c	NOUN
fuelectenerg-13520	272	86	functions	function	NOUN
fuelectenerg-13520	272	87	among	among	ADP
fuelectenerg-13520	272	88	themselves	themselves	PRON
fuelectenerg-13520	272	89	.	.	PUNCT
fuelectenerg-13520	273	1	the	the	DET
fuelectenerg-13520	273	2	area	area	NOUN
fuelectenerg-13520	273	3	below	below	ADP
fuelectenerg-13520	273	4	the	the	DET
fuelectenerg-13520	273	5	characteristic	characteristic	ADJ
fuelectenerg-13520	273	6	function	function	NOUN
fuelectenerg-13520	273	7	within	within	ADP
fuelectenerg-13520	273	8	half	half	ADJ
fuelectenerg-13520	273	9	power	power	NOUN
fuelectenerg-13520	273	10	passband3	passband3	ADJ
fuelectenerg-13520	273	11	(	(	PUNCT
fuelectenerg-13520	273	12	area	area	NOUN
fuelectenerg-13520	273	13	)	)	PUNCT
fuelectenerg-13520	273	14	is	be	AUX
fuelectenerg-13520	273	15	essential	essential	ADJ
fuelectenerg-13520	273	16	for	for	ADP
fuelectenerg-13520	273	17	comparison	comparison	NOUN
fuelectenerg-13520	273	18	.	.	PUNCT
fuelectenerg-13520	274	1	the	the	DET
fuelectenerg-13520	274	2	first	first	ADJ
fuelectenerg-13520	274	3	comparison	comparison	NOUN
fuelectenerg-13520	274	4	reveals	reveal	VERB
fuelectenerg-13520	274	5	that	that	SCONJ
fuelectenerg-13520	274	6	the	the	DET
fuelectenerg-13520	274	7	all	all	DET
fuelectenerg-13520	274	8	-	-	PUNCT
fuelectenerg-13520	274	9	pole	pole	NOUN
fuelectenerg-13520	274	10	optimum	optimum	NOUN
fuelectenerg-13520	274	11	c	c	NOUN
fuelectenerg-13520	274	12	filtering	filtering	NOUN
fuelectenerg-13520	274	13	function	function	NOUN
fuelectenerg-13520	274	14	has	have	VERB
fuelectenerg-13520	274	15	the	the	DET
fuelectenerg-13520	274	16	highest	high	ADJ
fuelectenerg-13520	274	17	area	area	NOUN
fuelectenerg-13520	274	18	,	,	PUNCT
fuelectenerg-13520	274	19	i.e.	i.e.	X
fuelectenerg-13520	274	20	the	the	DET
fuelectenerg-13520	274	21	reflected	reflect	VERB
fuelectenerg-13520	274	22	power	power	NOUN
fuelectenerg-13520	274	23	,	,	PUNCT
fuelectenerg-13520	274	24	while	while	SCONJ
fuelectenerg-13520	274	25	its	its	PRON
fuelectenerg-13520	274	26	ripple	ripple	ADJ
fuelectenerg-13520	274	27	band	band	NOUN
fuelectenerg-13520	274	28	is	be	AUX
fuelectenerg-13520	274	29	the	the	DET
fuelectenerg-13520	274	30	smallest	small	ADJ
fuelectenerg-13520	274	31	.	.	PUNCT
fuelectenerg-13520	275	1	the	the	DET
fuelectenerg-13520	275	2	second	second	ADJ
fuelectenerg-13520	275	3	comparison	comparison	NOUN
fuelectenerg-13520	275	4	shows	show	VERB
fuelectenerg-13520	275	5	that	that	SCONJ
fuelectenerg-13520	275	6	as	as	ADP
fuelectenerg-13520	275	7	m	m	NOUN
fuelectenerg-13520	275	8	increases	increase	NOUN
fuelectenerg-13520	275	9	,	,	PUNCT
fuelectenerg-13520	275	10	area	area	NOUN
fuelectenerg-13520	275	11	decreases	decrease	VERB
fuelectenerg-13520	275	12	,	,	PUNCT
fuelectenerg-13520	275	13	whereas	whereas	SCONJ
fuelectenerg-13520	275	14	the	the	DET
fuelectenerg-13520	275	15	ripple	ripple	ADJ
fuelectenerg-13520	275	16	band	band	NOUN
fuelectenerg-13520	275	17	expands	expand	VERB
fuelectenerg-13520	275	18	.	.	PUNCT
fuelectenerg-13520	276	1	consequently	consequently	ADV
fuelectenerg-13520	276	2	,	,	PUNCT
fuelectenerg-13520	276	3	the	the	DET
fuelectenerg-13520	276	4	area	area	NOUN
fuelectenerg-13520	276	5	between	between	ADP
fuelectenerg-13520	276	6	the	the	DET
fuelectenerg-13520	276	7	ripple	ripple	ADJ
fuelectenerg-13520	276	8	band	band	NOUN
fuelectenerg-13520	276	9	edge	edge	NOUN
fuelectenerg-13520	276	10	frequency	frequency	NOUN
fuelectenerg-13520	276	11	ωr	ωr	X
fuelectenerg-13520	276	12	and	and	CCONJ
fuelectenerg-13520	276	13	the	the	DET
fuelectenerg-13520	276	14	half	half	ADJ
fuelectenerg-13520	276	15	-	-	PUNCT
fuelectenerg-13520	276	16	power	power	NOUN
fuelectenerg-13520	276	17	frequency	frequency	NOUN
fuelectenerg-13520	276	18	ωc	ωc	ADP
fuelectenerg-13520	276	19	=	=	SYM
fuelectenerg-13520	276	20	1	1	NUM
fuelectenerg-13520	276	21	shrinks	shrink	VERB
fuelectenerg-13520	276	22	.	.	PUNCT
fuelectenerg-13520	277	1	3the	3the	DET
fuelectenerg-13520	277	2	area	area	NOUN
fuelectenerg-13520	277	3	is	be	AUX
fuelectenerg-13520	277	4	computed	compute	VERB
fuelectenerg-13520	277	5	using	use	VERB
fuelectenerg-13520	277	6	the	the	DET
fuelectenerg-13520	277	7	integral	integral	ADJ
fuelectenerg-13520	277	8	:	:	PUNCT
fuelectenerg-13520	277	9	area	area	NOUN
fuelectenerg-13520	277	10	=	=	SYM
fuelectenerg-13520	277	11	∫	∫	PROPN
fuelectenerg-13520	278	1	1	1	NUM
fuelectenerg-13520	278	2	0	0	NUM
fuelectenerg-13520	279	1	[	[	X
fuelectenerg-13520	279	2	c(ε	c(ε	PROPN
fuelectenerg-13520	279	3	)	)	PUNCT
fuelectenerg-13520	279	4	n	n	CCONJ
fuelectenerg-13520	279	5	,	,	PUNCT
fuelectenerg-13520	279	6	m(ω)]2dω	m(ω)]2dω	PROPN
fuelectenerg-13520	279	7	.	.	PROPN
fuelectenerg-13520	279	8	48	48	NUM
fuelectenerg-13520	279	9	n.	n.	PROPN
fuelectenerg-13520	279	10	stojanović	stojanović	PROPN
fuelectenerg-13520	279	11	,	,	PUNCT
fuelectenerg-13520	279	12	i.	i.	PROPN
fuelectenerg-13520	279	13	krstić	krstić	PROPN
fuelectenerg-13520	279	14	,	,	PUNCT
fuelectenerg-13520	279	15	n.	n.	PROPN
fuelectenerg-13520	279	16	stamenković	stamenković	VERB
fuelectenerg-13520	279	17	optimum	optimum	PROPN
fuelectenerg-13520	279	18	chebyshev	chebyshev	PROPN
fuelectenerg-13520	279	19	lowpass	lowpass	NOUN
fuelectenerg-13520	279	20	filter	filter	NOUN
fuelectenerg-13520	279	21	with	with	ADP
fuelectenerg-13520	279	22	a	a	DET
fuelectenerg-13520	279	23	pair	pair	NOUN
fuelectenerg-13520	279	24	of	of	ADP
fuelectenerg-13520	279	25	imaginary	imaginary	ADJ
fuelectenerg-13520	279	26	-	-	PUNCT
fuelectenerg-13520	279	27	axis	axis	NOUN
fuelectenerg-13520	279	28	zeros	zero	NOUN
fuelectenerg-13520	279	29	49	49	NUM
fuelectenerg-13520	279	30	106	106	NUM
fuelectenerg-13520	279	31	n.	n.	NOUN
fuelectenerg-13520	279	32	stojanović	stojanović	PROPN
fuelectenerg-13520	279	33	,	,	PUNCT
fuelectenerg-13520	279	34	i.	i.	PROPN
fuelectenerg-13520	279	35	krstić	krstić	PROPN
fuelectenerg-13520	279	36	,	,	PUNCT
fuelectenerg-13520	279	37	n.	n.	PROPN
fuelectenerg-13520	279	38	stamenković	stamenković	NOUN
fuelectenerg-13520	279	39	optimum	optimum	ADJ
fuelectenerg-13520	279	40	ripple	ripple	ADJ
fuelectenerg-13520	279	41	factor	factor	NOUN
fuelectenerg-13520	279	42	is	be	AUX
fuelectenerg-13520	279	43	εo	εo	NOUN
fuelectenerg-13520	279	44	=	=	SYM
fuelectenerg-13520	279	45	0.0935	0.0935	NUM
fuelectenerg-13520	279	46	,	,	PUNCT
fuelectenerg-13520	279	47	while	while	SCONJ
fuelectenerg-13520	279	48	the	the	DET
fuelectenerg-13520	279	49	coefficient	coefficient	NOUN
fuelectenerg-13520	279	50	χ	χ	X
fuelectenerg-13520	279	51	=	=	SYM
fuelectenerg-13520	279	52	1.611042	1.611042	NUM
fuelectenerg-13520	279	53	,	,	PUNCT
fuelectenerg-13520	279	54	is	be	AUX
fuelectenerg-13520	279	55	determined	determine	VERB
fuelectenerg-13520	279	56	to	to	PART
fuelectenerg-13520	279	57	achieve	achieve	VERB
fuelectenerg-13520	279	58	a	a	DET
fuelectenerg-13520	279	59	minimum	minimum	ADJ
fuelectenerg-13520	279	60	stopband	stopband	NOUN
fuelectenerg-13520	279	61	insertion	insertion	NOUN
fuelectenerg-13520	279	62	loss	loss	NOUN
fuelectenerg-13520	279	63	of	of	ADP
fuelectenerg-13520	279	64	ils	ils	X
fuelectenerg-13520	279	65	=	=	PROPN
fuelectenerg-13520	279	66	50	50	NUM
fuelectenerg-13520	279	67	db	db	NOUN
fuelectenerg-13520	279	68	(	(	PUNCT
fuelectenerg-13520	279	69	or	or	CCONJ
fuelectenerg-13520	279	70	316.1867	316.1867	NUM
fuelectenerg-13520	279	71	times	time	NOUN
fuelectenerg-13520	279	72	)	)	PUNCT
fuelectenerg-13520	279	73	.	.	PUNCT
fuelectenerg-13520	280	1	the	the	DET
fuelectenerg-13520	280	2	two	two	NUM
fuelectenerg-13520	280	3	auxiliary	auxiliary	ADJ
fuelectenerg-13520	280	4	polynomials	polynomial	NOUN
fuelectenerg-13520	280	5	are	be	AUX
fuelectenerg-13520	280	6	given	give	VERB
fuelectenerg-13520	280	7	by	by	ADP
fuelectenerg-13520	280	8	:	:	PUNCT
fuelectenerg-13520	280	9	a6(ω	a6(ω	X
fuelectenerg-13520	280	10	)	)	PUNCT
fuelectenerg-13520	280	11	=	=	SYM
fuelectenerg-13520	280	12	281.86ω6	281.86ω6	NUM
fuelectenerg-13520	280	13	−	−	NOUN
fuelectenerg-13520	280	14	473.981ω4	473.981ω4	NUM
fuelectenerg-13520	280	15	+	+	CCONJ
fuelectenerg-13520	280	16	213.666ω2	213.666ω2	NUM
fuelectenerg-13520	280	17	−	−	NOUN
fuelectenerg-13520	280	18	17.484	17.484	NUM
fuelectenerg-13520	280	19	,	,	PUNCT
fuelectenerg-13520	280	20	b7(ω	b7(ω	NOUN
fuelectenerg-13520	280	21	)	)	PUNCT
fuelectenerg-13520	280	22	=	=	PUNCT
fuelectenerg-13520	281	1	281.858ω7	281.858ω7	NUM
fuelectenerg-13520	281	2	−	−	NOUN
fuelectenerg-13520	281	3	614.885ω5	614.885ω5	NOUN
fuelectenerg-13520	282	1	+	+	CCONJ
fuelectenerg-13520	282	2	415.276ω3	415.276ω3	NUM
fuelectenerg-13520	282	3	−	−	NUM
fuelectenerg-13520	282	4	82.248ω	82.248ω	NUM
fuelectenerg-13520	282	5	these	these	DET
fuelectenerg-13520	282	6	polynomials	polynomial	NOUN
fuelectenerg-13520	282	7	,	,	PUNCT
fuelectenerg-13520	282	8	along	along	ADP
fuelectenerg-13520	282	9	with	with	ADP
fuelectenerg-13520	282	10	the	the	DET
fuelectenerg-13520	282	11	first	first	ADJ
fuelectenerg-13520	282	12	-	-	PUNCT
fuelectenerg-13520	282	13	degree	degree	NOUN
fuelectenerg-13520	282	14	chebyshev	chebyshev	NOUN
fuelectenerg-13520	282	15	polynomial	polynomial	NOUN
fuelectenerg-13520	282	16	of	of	ADP
fuelectenerg-13520	282	17	the	the	DET
fuelectenerg-13520	282	18	first	first	ADJ
fuelectenerg-13520	282	19	kind	kind	NOUN
fuelectenerg-13520	282	20	and	and	CCONJ
fuelectenerg-13520	282	21	the	the	DET
fuelectenerg-13520	282	22	zero	zero	NUM
fuelectenerg-13520	282	23	-	-	PUNCT
fuelectenerg-13520	282	24	degree	degree	NOUN
fuelectenerg-13520	282	25	chebyshev	chebyshev	NOUN
fuelectenerg-13520	282	26	polynomial	polynomial	NOUN
fuelectenerg-13520	282	27	of	of	ADP
fuelectenerg-13520	282	28	the	the	DET
fuelectenerg-13520	282	29	second	second	ADJ
fuelectenerg-13520	282	30	kind	kind	NOUN
fuelectenerg-13520	282	31	,	,	PUNCT
fuelectenerg-13520	282	32	are	be	AUX
fuelectenerg-13520	282	33	used	use	VERB
fuelectenerg-13520	282	34	to	to	PART
fuelectenerg-13520	282	35	construct	construct	VERB
fuelectenerg-13520	282	36	the	the	DET
fuelectenerg-13520	282	37	rational	rational	ADJ
fuelectenerg-13520	282	38	polynomial	polynomial	ADJ
fuelectenerg-13520	282	39	form	form	NOUN
fuelectenerg-13520	282	40	of	of	ADP
fuelectenerg-13520	282	41	the	the	DET
fuelectenerg-13520	282	42	optimum	optimum	ADJ
fuelectenerg-13520	282	43	c	c	NOUN
fuelectenerg-13520	282	44	filtering	filtering	NOUN
fuelectenerg-13520	282	45	function	function	NOUN
fuelectenerg-13520	282	46	(	(	PUNCT
fuelectenerg-13520	282	47	18	18	NUM
fuelectenerg-13520	282	48	)	)	PUNCT
fuelectenerg-13520	282	49	,	,	PUNCT
fuelectenerg-13520	282	50	multiplied	multiply	VERB
fuelectenerg-13520	282	51	by	by	ADP
fuelectenerg-13520	282	52	εo	εo	ADJ
fuelectenerg-13520	282	53	:	:	PUNCT
fuelectenerg-13520	282	54	c7,3(ω	c7,3(ω	NOUN
fuelectenerg-13520	282	55	)	)	PUNCT
fuelectenerg-13520	282	56	=	=	PUNCT
fuelectenerg-13520	283	1	0.0935	0.0935	NUM
fuelectenerg-13520	283	2	−52.712ω7	−52.712ω7	NOUN
fuelectenerg-13520	283	3	+	+	CCONJ
fuelectenerg-13520	283	4	101.817ω5	101.817ω5	NUM
fuelectenerg-13520	283	5	−	−	PROPN
fuelectenerg-13520	283	6	58.8106ω3	58.8106ω3	PROPN
fuelectenerg-13520	283	7	+	+	NUM
fuelectenerg-13520	283	8	9.32565ω	9.32565ω	NUM
fuelectenerg-13520	283	9	(	(	PUNCT
fuelectenerg-13520	283	10	ω2	ω2	ADV
fuelectenerg-13520	283	11	−	−	PROPN
fuelectenerg-13520	283	12	2.59551)3	2.59551)3	NOUN
fuelectenerg-13520	283	13	(	(	PUNCT
fuelectenerg-13520	283	14	20	20	NUM
fuelectenerg-13520	283	15	)	)	PUNCT
fuelectenerg-13520	283	16	ensuring	ensure	VERB
fuelectenerg-13520	283	17	that	that	SCONJ
fuelectenerg-13520	283	18	c7,3(1	c7,3(1	NOUN
fuelectenerg-13520	283	19	)	)	PUNCT
fuelectenerg-13520	283	20	=	=	SYM
fuelectenerg-13520	284	1	0.00935	0.00935	NUM
fuelectenerg-13520	284	2	.	.	PUNCT
fuelectenerg-13520	285	1	to	to	PART
fuelectenerg-13520	285	2	achieve	achieve	VERB
fuelectenerg-13520	285	3	a	a	DET
fuelectenerg-13520	285	4	normalized	normalize	VERB
fuelectenerg-13520	285	5	half	half	ADJ
fuelectenerg-13520	285	6	-	-	PUNCT
fuelectenerg-13520	285	7	power	power	NOUN
fuelectenerg-13520	285	8	bandwidth	bandwidth	NOUN
fuelectenerg-13520	285	9	of	of	ADP
fuelectenerg-13520	285	10	one	one	NUM
fuelectenerg-13520	285	11	,	,	PUNCT
fuelectenerg-13520	285	12	the	the	DET
fuelectenerg-13520	285	13	parameter	parameter	NOUN
fuelectenerg-13520	285	14	λ	λ	PROPN
fuelectenerg-13520	285	15	=	=	NOUN
fuelectenerg-13520	285	16	1.060296	1.060296	NUM
fuelectenerg-13520	285	17	is	be	AUX
fuelectenerg-13520	285	18	calculated	calculate	VERB
fuelectenerg-13520	285	19	for	for	ADP
fuelectenerg-13520	285	20	the	the	DET
fuelectenerg-13520	285	21	final	final	ADJ
fuelectenerg-13520	285	22	renormalization	renormalization	NOUN
fuelectenerg-13520	285	23	of	of	ADP
fuelectenerg-13520	285	24	equation	equation	NOUN
fuelectenerg-13520	285	25	(	(	PUNCT
fuelectenerg-13520	285	26	20	20	NUM
fuelectenerg-13520	285	27	)	)	PUNCT
fuelectenerg-13520	285	28	multiplied	multiply	VERB
fuelectenerg-13520	285	29	with	with	ADP
fuelectenerg-13520	285	30	the	the	DET
fuelectenerg-13520	285	31	optimum	optimum	ADJ
fuelectenerg-13520	285	32	ripple	ripple	ADJ
fuelectenerg-13520	285	33	factor	factor	NOUN
fuelectenerg-13520	285	34	.	.	PUNCT
fuelectenerg-13520	286	1	this	this	PRON
fuelectenerg-13520	286	2	yields	yield	VERB
fuelectenerg-13520	286	3	the	the	DET
fuelectenerg-13520	286	4	final	final	ADJ
fuelectenerg-13520	286	5	rational	rational	ADJ
fuelectenerg-13520	286	6	optimum	optimum	NOUN
fuelectenerg-13520	286	7	c	c	NOUN
fuelectenerg-13520	286	8	filtering	filtering	NOUN
fuelectenerg-13520	286	9	function	function	NOUN
fuelectenerg-13520	286	10	(	(	PUNCT
fuelectenerg-13520	286	11	19	19	NUM
fuelectenerg-13520	286	12	):	):	PUNCT
fuelectenerg-13520	286	13	c(ε	c(ε	PROPN
fuelectenerg-13520	286	14	)	)	PUNCT
fuelectenerg-13520	286	15	7,3(ω	7,3(ω	NUM
fuelectenerg-13520	286	16	)	)	PUNCT
fuelectenerg-13520	286	17	=	=	SYM
fuelectenerg-13520	286	18	nn(ω	nn(ω	NOUN
fuelectenerg-13520	286	19	)	)	PUNCT
fuelectenerg-13520	286	20	d2m(ω	d2m(ω	PROPN
fuelectenerg-13520	286	21	)	)	PUNCT
fuelectenerg-13520	287	1	=	=	SYM
fuelectenerg-13520	287	2	−79.408ω7	−79.408ω7	NOUN
fuelectenerg-13520	287	3	+	+	CCONJ
fuelectenerg-13520	288	1	136.43ω5	136.43ω5	NUM
fuelectenerg-13520	288	2	−	−	NOUN
fuelectenerg-13520	288	3	70.098ω3	70.098ω3	NUM
fuelectenerg-13520	288	4	+	+	CCONJ
fuelectenerg-13520	288	5	9.8872ω	9.8872ω	NUM
fuelectenerg-13520	288	6	(	(	PUNCT
fuelectenerg-13520	288	7	1.1242ω2	1.1242ω2	NUM
fuelectenerg-13520	288	8	−	−	NOUN
fuelectenerg-13520	288	9	2.59546)3	2.59546)3	NUM
fuelectenerg-13520	288	10	ensuring	ensure	VERB
fuelectenerg-13520	289	1	that	that	SCONJ
fuelectenerg-13520	289	2	c(ε	c(ε	PROPN
fuelectenerg-13520	289	3	)	)	PUNCT
fuelectenerg-13520	289	4	7,3(1	7,3(1	X
fuelectenerg-13520	289	5	)	)	PUNCT
fuelectenerg-13520	290	1	=	=	SYM
fuelectenerg-13520	290	2	1	1	X
fuelectenerg-13520	290	3	.	.	X
fuelectenerg-13520	291	1	for	for	ADP
fuelectenerg-13520	291	2	comparison	comparison	NOUN
fuelectenerg-13520	291	3	,	,	PUNCT
fuelectenerg-13520	291	4	the	the	DET
fuelectenerg-13520	291	5	properties	property	NOUN
fuelectenerg-13520	291	6	of	of	ADP
fuelectenerg-13520	291	7	other	other	ADJ
fuelectenerg-13520	291	8	optimum	optimum	ADJ
fuelectenerg-13520	291	9	c	c	NOUN
fuelectenerg-13520	291	10	filtering	filtering	NOUN
fuelectenerg-13520	291	11	functions	function	NOUN
fuelectenerg-13520	291	12	of	of	ADP
fuelectenerg-13520	291	13	the	the	DET
fuelectenerg-13520	291	14	7th	7th	ADJ
fuelectenerg-13520	291	15	-	-	PUNCT
fuelectenerg-13520	291	16	degree	degree	NOUN
fuelectenerg-13520	291	17	are	be	AUX
fuelectenerg-13520	291	18	also	also	ADV
fuelectenerg-13520	291	19	listed	list	VERB
fuelectenerg-13520	291	20	in	in	ADP
fuelectenerg-13520	291	21	table	table	NOUN
fuelectenerg-13520	291	22	1	1	NUM
fuelectenerg-13520	291	23	.	.	PUNCT
fuelectenerg-13520	292	1	in	in	ADP
fuelectenerg-13520	292	2	all	all	DET
fuelectenerg-13520	292	3	approximations	approximation	NOUN
fuelectenerg-13520	292	4	,	,	PUNCT
fuelectenerg-13520	292	5	the	the	DET
fuelectenerg-13520	292	6	optimum	optimum	ADJ
fuelectenerg-13520	292	7	value	value	NOUN
fuelectenerg-13520	292	8	of	of	ADP
fuelectenerg-13520	292	9	the	the	DET
fuelectenerg-13520	292	10	ripple	ripple	ADJ
fuelectenerg-13520	292	11	factor	factor	NOUN
fuelectenerg-13520	292	12	,	,	PUNCT
fuelectenerg-13520	292	13	εo	εo	NOUN
fuelectenerg-13520	292	14	=	=	SYM
fuelectenerg-13520	292	15	0.0935	0.0935	NUM
fuelectenerg-13520	292	16	,	,	PUNCT
fuelectenerg-13520	292	17	is	be	AUX
fuelectenerg-13520	292	18	used	use	VERB
fuelectenerg-13520	292	19	to	to	PART
fuelectenerg-13520	292	20	calculate	calculate	VERB
fuelectenerg-13520	292	21	χ	χ	NOUN
fuelectenerg-13520	292	22	,	,	PUNCT
fuelectenerg-13520	292	23	ensuring	ensure	VERB
fuelectenerg-13520	292	24	an	an	DET
fuelectenerg-13520	292	25	insertion	insertion	NOUN
fuelectenerg-13520	292	26	loss	loss	NOUN
fuelectenerg-13520	292	27	of	of	ADP
fuelectenerg-13520	292	28	ils	ils	X
fuelectenerg-13520	292	29	=	=	PROPN
fuelectenerg-13520	292	30	50	50	NUM
fuelectenerg-13520	292	31	db	db	NOUN
fuelectenerg-13520	292	32	at	at	ADP
fuelectenerg-13520	292	33	the	the	DET
fuelectenerg-13520	292	34	frequency	frequency	NOUN
fuelectenerg-13520	292	35	ωm	ωm	X
fuelectenerg-13520	292	36	.	.	NOUN
fuelectenerg-13520	292	37	table	table	NOUN
fuelectenerg-13520	292	38	1	1	NUM
fuelectenerg-13520	292	39	.	.	PUNCT
fuelectenerg-13520	293	1	properties	property	NOUN
fuelectenerg-13520	293	2	of	of	ADP
fuelectenerg-13520	293	3	the	the	DET
fuelectenerg-13520	293	4	7th	7th	ADJ
fuelectenerg-13520	293	5	-	-	PUNCT
fuelectenerg-13520	293	6	degree	degree	NOUN
fuelectenerg-13520	293	7	optimum	optimum	NOUN
fuelectenerg-13520	293	8	c	c	NOUN
fuelectenerg-13520	293	9	filtering	filtering	NOUN
fuelectenerg-13520	293	10	functions	function	NOUN
fuelectenerg-13520	293	11	properties	property	NOUN
fuelectenerg-13520	293	12	characteristic	characteristic	ADJ
fuelectenerg-13520	293	13	function	function	NOUN
fuelectenerg-13520	293	14	m	m	NOUN
fuelectenerg-13520	293	15	=	=	SYM
fuelectenerg-13520	293	16	0	0	NUM
fuelectenerg-13520	293	17	m	m	VERB
fuelectenerg-13520	293	18	=	=	NOUN
fuelectenerg-13520	293	19	1	1	NUM
fuelectenerg-13520	293	20	m	m	NOUN
fuelectenerg-13520	293	21	=	=	SYM
fuelectenerg-13520	293	22	2	2	NUM
fuelectenerg-13520	293	23	m	m	NOUN
fuelectenerg-13520	293	24	=	=	SYM
fuelectenerg-13520	293	25	3	3	NUM
fuelectenerg-13520	293	26	λ	λ	PROPN
fuelectenerg-13520	293	27	1.097126	1.097126	NUM
fuelectenerg-13520	293	28	1.077877	1.077877	NUM
fuelectenerg-13520	293	29	1.062136	1.062136	NUM
fuelectenerg-13520	293	30	1.060296	1.060296	NUM
fuelectenerg-13520	293	31	χ	χ	NOUN
fuelectenerg-13520	293	32	∞	∞	NUM
fuelectenerg-13520	293	33	1.500606	1.500606	NUM
fuelectenerg-13520	293	34	1.455552	1.455552	NUM
fuelectenerg-13520	293	35	1.611042	1.611042	NUM
fuelectenerg-13520	293	36	ωm	ωm	PUNCT
fuelectenerg-13520	293	37	none	none	NOUN
fuelectenerg-13520	293	38	1.709891	1.709891	NUM
fuelectenerg-13520	293	39	2.042391	2.042391	NUM
fuelectenerg-13520	293	40	3.847784	3.847784	NUM
fuelectenerg-13520	293	41	ωr	ωr	ADP
fuelectenerg-13520	293	42	0.911472	0.911472	NUM
fuelectenerg-13520	293	43	0.927748	0.927748	NUM
fuelectenerg-13520	293	44	0.941498	0.941498	NUM
fuelectenerg-13520	293	45	0.943132	0.943132	NUM
fuelectenerg-13520	293	46	area	area	NOUN
fuelectenerg-13520	293	47	0.028670	0.028670	NUM
fuelectenerg-13520	293	48	0.023813	0.023813	NUM
fuelectenerg-13520	293	49	0.019922	0.019922	NUM
fuelectenerg-13520	293	50	0.019531	0.019531	NUM
fuelectenerg-13520	293	51	table	table	NOUN
fuelectenerg-13520	293	52	1	1	NUM
fuelectenerg-13520	293	53	provides	provide	VERB
fuelectenerg-13520	293	54	a	a	DET
fuelectenerg-13520	293	55	two	two	NUM
fuelectenerg-13520	293	56	-	-	PUNCT
fuelectenerg-13520	293	57	part	part	NOUN
fuelectenerg-13520	293	58	comparison	comparison	NOUN
fuelectenerg-13520	293	59	:	:	PUNCT
fuelectenerg-13520	293	60	the	the	DET
fuelectenerg-13520	293	61	first	first	ADJ
fuelectenerg-13520	293	62	part	part	NOUN
fuelectenerg-13520	293	63	contrasts	contrast	VERB
fuelectenerg-13520	293	64	the	the	DET
fuelectenerg-13520	293	65	all	all	DET
fuelectenerg-13520	293	66	-	-	PUNCT
fuelectenerg-13520	293	67	pole	pole	NOUN
fuelectenerg-13520	293	68	optimum	optimum	NOUN
fuelectenerg-13520	293	69	c	c	NOUN
fuelectenerg-13520	293	70	characteristic	characteristic	ADJ
fuelectenerg-13520	293	71	function	function	NOUN
fuelectenerg-13520	293	72	with	with	ADP
fuelectenerg-13520	293	73	its	its	PRON
fuelectenerg-13520	293	74	rational	rational	ADJ
fuelectenerg-13520	293	75	counterparts	counterpart	NOUN
fuelectenerg-13520	293	76	,	,	PUNCT
fuelectenerg-13520	293	77	while	while	SCONJ
fuelectenerg-13520	293	78	the	the	DET
fuelectenerg-13520	293	79	second	second	ADJ
fuelectenerg-13520	293	80	part	part	NOUN
fuelectenerg-13520	293	81	compares	compare	VERB
fuelectenerg-13520	293	82	the	the	DET
fuelectenerg-13520	293	83	rational	rational	ADJ
fuelectenerg-13520	293	84	optimum	optimum	ADJ
fuelectenerg-13520	293	85	c	c	NOUN
fuelectenerg-13520	293	86	functions	function	NOUN
fuelectenerg-13520	293	87	among	among	ADP
fuelectenerg-13520	293	88	themselves	themselves	PRON
fuelectenerg-13520	293	89	.	.	PUNCT
fuelectenerg-13520	294	1	the	the	DET
fuelectenerg-13520	294	2	area	area	NOUN
fuelectenerg-13520	294	3	below	below	ADP
fuelectenerg-13520	294	4	the	the	DET
fuelectenerg-13520	294	5	characteristic	characteristic	ADJ
fuelectenerg-13520	294	6	function	function	NOUN
fuelectenerg-13520	294	7	within	within	ADP
fuelectenerg-13520	294	8	half	half	ADJ
fuelectenerg-13520	294	9	power	power	NOUN
fuelectenerg-13520	294	10	passband3	passband3	ADJ
fuelectenerg-13520	294	11	(	(	PUNCT
fuelectenerg-13520	294	12	area	area	NOUN
fuelectenerg-13520	294	13	)	)	PUNCT
fuelectenerg-13520	294	14	is	be	AUX
fuelectenerg-13520	294	15	essential	essential	ADJ
fuelectenerg-13520	294	16	for	for	ADP
fuelectenerg-13520	294	17	comparison	comparison	NOUN
fuelectenerg-13520	294	18	.	.	PUNCT
fuelectenerg-13520	295	1	the	the	DET
fuelectenerg-13520	295	2	first	first	ADJ
fuelectenerg-13520	295	3	comparison	comparison	NOUN
fuelectenerg-13520	295	4	reveals	reveal	VERB
fuelectenerg-13520	295	5	that	that	SCONJ
fuelectenerg-13520	295	6	the	the	DET
fuelectenerg-13520	295	7	all	all	DET
fuelectenerg-13520	295	8	-	-	PUNCT
fuelectenerg-13520	295	9	pole	pole	NOUN
fuelectenerg-13520	295	10	optimum	optimum	NOUN
fuelectenerg-13520	295	11	c	c	NOUN
fuelectenerg-13520	295	12	filtering	filtering	NOUN
fuelectenerg-13520	295	13	function	function	NOUN
fuelectenerg-13520	295	14	has	have	VERB
fuelectenerg-13520	295	15	the	the	DET
fuelectenerg-13520	295	16	highest	high	ADJ
fuelectenerg-13520	295	17	area	area	NOUN
fuelectenerg-13520	295	18	,	,	PUNCT
fuelectenerg-13520	295	19	i.e.	i.e.	X
fuelectenerg-13520	295	20	the	the	DET
fuelectenerg-13520	295	21	reflected	reflect	VERB
fuelectenerg-13520	295	22	power	power	NOUN
fuelectenerg-13520	295	23	,	,	PUNCT
fuelectenerg-13520	295	24	while	while	SCONJ
fuelectenerg-13520	295	25	its	its	PRON
fuelectenerg-13520	295	26	ripple	ripple	ADJ
fuelectenerg-13520	295	27	band	band	NOUN
fuelectenerg-13520	295	28	is	be	AUX
fuelectenerg-13520	295	29	the	the	DET
fuelectenerg-13520	295	30	smallest	small	ADJ
fuelectenerg-13520	295	31	.	.	PUNCT
fuelectenerg-13520	296	1	the	the	DET
fuelectenerg-13520	296	2	second	second	ADJ
fuelectenerg-13520	296	3	comparison	comparison	NOUN
fuelectenerg-13520	296	4	shows	show	VERB
fuelectenerg-13520	296	5	that	that	SCONJ
fuelectenerg-13520	296	6	as	as	ADP
fuelectenerg-13520	296	7	m	m	NOUN
fuelectenerg-13520	296	8	increases	increase	NOUN
fuelectenerg-13520	296	9	,	,	PUNCT
fuelectenerg-13520	296	10	area	area	NOUN
fuelectenerg-13520	296	11	decreases	decrease	VERB
fuelectenerg-13520	296	12	,	,	PUNCT
fuelectenerg-13520	296	13	whereas	whereas	SCONJ
fuelectenerg-13520	296	14	the	the	DET
fuelectenerg-13520	296	15	ripple	ripple	ADJ
fuelectenerg-13520	296	16	band	band	NOUN
fuelectenerg-13520	296	17	expands	expand	VERB
fuelectenerg-13520	296	18	.	.	PUNCT
fuelectenerg-13520	297	1	consequently	consequently	ADV
fuelectenerg-13520	297	2	,	,	PUNCT
fuelectenerg-13520	297	3	the	the	DET
fuelectenerg-13520	297	4	area	area	NOUN
fuelectenerg-13520	297	5	between	between	ADP
fuelectenerg-13520	297	6	the	the	DET
fuelectenerg-13520	297	7	ripple	ripple	ADJ
fuelectenerg-13520	297	8	band	band	NOUN
fuelectenerg-13520	297	9	edge	edge	NOUN
fuelectenerg-13520	297	10	frequency	frequency	NOUN
fuelectenerg-13520	297	11	ωr	ωr	X
fuelectenerg-13520	297	12	and	and	CCONJ
fuelectenerg-13520	297	13	the	the	DET
fuelectenerg-13520	297	14	half	half	ADJ
fuelectenerg-13520	297	15	-	-	PUNCT
fuelectenerg-13520	297	16	power	power	NOUN
fuelectenerg-13520	297	17	frequency	frequency	NOUN
fuelectenerg-13520	297	18	ωc	ωc	ADP
fuelectenerg-13520	297	19	=	=	SYM
fuelectenerg-13520	297	20	1	1	NUM
fuelectenerg-13520	297	21	shrinks	shrink	VERB
fuelectenerg-13520	297	22	.	.	PUNCT
fuelectenerg-13520	298	1	3the	3the	DET
fuelectenerg-13520	298	2	area	area	NOUN
fuelectenerg-13520	298	3	is	be	AUX
fuelectenerg-13520	298	4	computed	compute	VERB
fuelectenerg-13520	298	5	using	use	VERB
fuelectenerg-13520	298	6	the	the	DET
fuelectenerg-13520	298	7	integral	integral	ADJ
fuelectenerg-13520	298	8	:	:	PUNCT
fuelectenerg-13520	298	9	area	area	NOUN
fuelectenerg-13520	298	10	=	=	SYM
fuelectenerg-13520	298	11	∫	∫	PROPN
fuelectenerg-13520	299	1	1	1	NUM
fuelectenerg-13520	299	2	0	0	NUM
fuelectenerg-13520	300	1	[	[	X
fuelectenerg-13520	300	2	c(ε	c(ε	PROPN
fuelectenerg-13520	300	3	)	)	PUNCT
fuelectenerg-13520	300	4	n	n	CCONJ
fuelectenerg-13520	300	5	,	,	PUNCT
fuelectenerg-13520	300	6	m(ω)]2dω	m(ω)]2dω	PROPN
fuelectenerg-13520	300	7	.	.	PROPN
fuelectenerg-13520	300	8	optimum	optimum	PROPN
fuelectenerg-13520	300	9	chebyshev	chebyshev	PROPN
fuelectenerg-13520	300	10	lowpass	lowpass	NOUN
fuelectenerg-13520	300	11	filter	filter	NOUN
fuelectenerg-13520	300	12	with	with	ADP
fuelectenerg-13520	300	13	a	a	DET
fuelectenerg-13520	300	14	pair	pair	NOUN
fuelectenerg-13520	300	15	of	of	ADP
fuelectenerg-13520	300	16	imaginary	imaginary	ADJ
fuelectenerg-13520	300	17	-	-	PUNCT
fuelectenerg-13520	300	18	axis	axis	NOUN
fuelectenerg-13520	300	19	zeros	zero	NOUN
fuelectenerg-13520	300	20	107	107	NUM
fuelectenerg-13520	300	21	3	3	NUM
fuelectenerg-13520	300	22	.	.	PUNCT
fuelectenerg-13520	301	1	transmission	transmission	NOUN
fuelectenerg-13520	301	2	coefficient	coefficient	NOUN
fuelectenerg-13520	301	3	the	the	DET
fuelectenerg-13520	301	4	rational	rational	ADJ
fuelectenerg-13520	301	5	squared	squared	ADJ
fuelectenerg-13520	301	6	magnitude	magnitude	NOUN
fuelectenerg-13520	301	7	function	function	NOUN
fuelectenerg-13520	301	8	of	of	ADP
fuelectenerg-13520	301	9	the	the	DET
fuelectenerg-13520	301	10	transmission	transmission	NOUN
fuelectenerg-13520	301	11	coefficient	coefficient	NOUN
fuelectenerg-13520	301	12	of	of	ADP
fuelectenerg-13520	301	13	the	the	DET
fuelectenerg-13520	301	14	optimal	optimal	ADJ
fuelectenerg-13520	301	15	c	c	NOUN
fuelectenerg-13520	301	16	filter	filter	NOUN
fuelectenerg-13520	301	17	is	be	AUX
fuelectenerg-13520	301	18	obtained	obtain	VERB
fuelectenerg-13520	301	19	by	by	ADP
fuelectenerg-13520	301	20	substituting	substitute	VERB
fuelectenerg-13520	301	21	the	the	DET
fuelectenerg-13520	301	22	all	all	DET
fuelectenerg-13520	301	23	-	-	PUNCT
fuelectenerg-13520	301	24	pole	pole	ADJ
fuelectenerg-13520	301	25	characteristic	characteristic	ADJ
fuelectenerg-13520	301	26	function	function	NOUN
fuelectenerg-13520	301	27	with	with	ADP
fuelectenerg-13520	301	28	the	the	DET
fuelectenerg-13520	301	29	rational	rational	ADJ
fuelectenerg-13520	301	30	characteristic	characteristic	ADJ
fuelectenerg-13520	301	31	function	function	NOUN
fuelectenerg-13520	301	32	—	—	PUNCT
fuelectenerg-13520	301	33	given	give	VERB
fuelectenerg-13520	301	34	by	by	ADP
fuelectenerg-13520	301	35	equation	equation	NOUN
fuelectenerg-13520	301	36	(	(	PUNCT
fuelectenerg-13520	301	37	19	19	NUM
fuelectenerg-13520	301	38	)	)	PUNCT
fuelectenerg-13520	301	39	squared	square	VERB
fuelectenerg-13520	301	40	—	—	PUNCT
fuelectenerg-13520	301	41	into	into	ADP
fuelectenerg-13520	301	42	equation	equation	NOUN
fuelectenerg-13520	301	43	(	(	PUNCT
fuelectenerg-13520	301	44	1	1	NUM
fuelectenerg-13520	301	45	)	)	PUNCT
fuelectenerg-13520	301	46	.	.	PUNCT
fuelectenerg-13520	302	1	the	the	DET
fuelectenerg-13520	302	2	transmission	transmission	NOUN
fuelectenerg-13520	302	3	coefficient	coefficient	NOUN
fuelectenerg-13520	302	4	s21(s	s21(	VERB
fuelectenerg-13520	302	5	)	)	PUNCT
fuelectenerg-13520	302	6	can	can	AUX
fuelectenerg-13520	302	7	then	then	ADV
fuelectenerg-13520	302	8	be	be	AUX
fuelectenerg-13520	302	9	determined	determine	VERB
fuelectenerg-13520	302	10	from	from	ADP
fuelectenerg-13520	302	11	(	(	PUNCT
fuelectenerg-13520	302	12	1	1	X
fuelectenerg-13520	302	13	)	)	PUNCT
fuelectenerg-13520	302	14	using	use	VERB
fuelectenerg-13520	302	15	the	the	DET
fuelectenerg-13520	302	16	standard	standard	ADJ
fuelectenerg-13520	302	17	procedure	procedure	NOUN
fuelectenerg-13520	302	18	of	of	ADP
fuelectenerg-13520	302	19	analytic	analytic	ADJ
fuelectenerg-13520	302	20	continuation	continuation	NOUN
fuelectenerg-13520	302	21	over	over	ADP
fuelectenerg-13520	302	22	the	the	DET
fuelectenerg-13520	302	23	entire	entire	ADJ
fuelectenerg-13520	302	24	s	s	NOUN
fuelectenerg-13520	302	25	-	-	NOUN
fuelectenerg-13520	302	26	plane	plane	NOUN
fuelectenerg-13520	302	27	,	,	PUNCT
fuelectenerg-13520	302	28	which	which	PRON
fuelectenerg-13520	302	29	corresponds	correspond	VERB
fuelectenerg-13520	302	30	to	to	ADP
fuelectenerg-13520	302	31	replacing	replace	VERB
fuelectenerg-13520	302	32	ω	ω	PROPN
fuelectenerg-13520	302	33	with	with	ADP
fuelectenerg-13520	302	34	−js	−js	NOUN
fuelectenerg-13520	302	35	in	in	ADP
fuelectenerg-13520	302	36	the	the	DET
fuelectenerg-13520	302	37	given	give	VERB
fuelectenerg-13520	302	38	|s21(jω)|2	|s21(jω)|2	NOUN
fuelectenerg-13520	302	39	.	.	PUNCT
fuelectenerg-13520	303	1	the	the	DET
fuelectenerg-13520	303	2	pole	pole	NOUN
fuelectenerg-13520	303	3	locations	location	NOUN
fuelectenerg-13520	303	4	of	of	ADP
fuelectenerg-13520	303	5	the	the	DET
fuelectenerg-13520	303	6	transmission	transmission	NOUN
fuelectenerg-13520	303	7	coefficient	coefficient	NOUN
fuelectenerg-13520	303	8	can	can	AUX
fuelectenerg-13520	303	9	be	be	AUX
fuelectenerg-13520	303	10	found	find	VERB
fuelectenerg-13520	303	11	by	by	ADP
fuelectenerg-13520	303	12	solving	solve	VERB
fuelectenerg-13520	303	13	for	for	ADP
fuelectenerg-13520	303	14	the	the	DET
fuelectenerg-13520	303	15	roots	root	NOUN
fuelectenerg-13520	303	16	of	of	ADP
fuelectenerg-13520	303	17	the	the	DET
fuelectenerg-13520	303	18	polynomial	polynomial	NOUN
fuelectenerg-13520	303	19	in	in	ADP
fuelectenerg-13520	303	20	its	its	PRON
fuelectenerg-13520	303	21	denominator4	denominator4	NOUN
fuelectenerg-13520	303	22	,	,	PUNCT
fuelectenerg-13520	303	23	given	give	VERB
fuelectenerg-13520	303	24	by	by	ADP
fuelectenerg-13520	303	25	:	:	PUNCT
fuelectenerg-13520	303	26	d2	d2	PROPN
fuelectenerg-13520	303	27	2m(−js	2m(−js	NUM
fuelectenerg-13520	303	28	)	)	PUNCT
fuelectenerg-13520	304	1	+	+	ADP
fuelectenerg-13520	304	2	n	n	ADJ
fuelectenerg-13520	304	3	2	2	NUM
fuelectenerg-13520	304	4	n(−js	n(−js	NOUN
fuelectenerg-13520	304	5	)	)	PUNCT
fuelectenerg-13520	304	6	=	=	SYM
fuelectenerg-13520	305	1	0	0	X
fuelectenerg-13520	305	2	.	.	PUNCT
fuelectenerg-13520	306	1	(	(	PUNCT
fuelectenerg-13520	306	2	21	21	NUM
fuelectenerg-13520	306	3	)	)	PUNCT
fuelectenerg-13520	306	4	from	from	ADP
fuelectenerg-13520	306	5	these	these	DET
fuelectenerg-13520	306	6	roots	root	NOUN
fuelectenerg-13520	306	7	,	,	PUNCT
fuelectenerg-13520	306	8	the	the	DET
fuelectenerg-13520	306	9	poles	pole	NOUN
fuelectenerg-13520	306	10	pi	pi	NOUN
fuelectenerg-13520	306	11	=	=	PUNCT
fuelectenerg-13520	306	12	σi	σi	NUM
fuelectenerg-13520	306	13	±	±	NUM
fuelectenerg-13520	306	14	jωi	jωi	NOUN
fuelectenerg-13520	306	15	,	,	PUNCT
fuelectenerg-13520	306	16	i	i	NOUN
fuelectenerg-13520	306	17	=	=	NOUN
fuelectenerg-13520	306	18	1	1	NUM
fuelectenerg-13520	306	19	,	,	PUNCT
fuelectenerg-13520	306	20	2	2	NUM
fuelectenerg-13520	306	21	,	,	PUNCT
fuelectenerg-13520	306	22	.	.	PUNCT
fuelectenerg-13520	306	23	.	.	PUNCT
fuelectenerg-13520	306	24	.	.	PUNCT
fuelectenerg-13520	306	25	,	,	PUNCT
fuelectenerg-13520	306	26	n	n	CCONJ
fuelectenerg-13520	306	27	,	,	PUNCT
fuelectenerg-13520	306	28	that	that	PRON
fuelectenerg-13520	306	29	lie	lie	VERB
fuelectenerg-13520	306	30	in	in	ADP
fuelectenerg-13520	306	31	the	the	DET
fuelectenerg-13520	306	32	left	left	ADJ
fuelectenerg-13520	306	33	half	half	ADJ
fuelectenerg-13520	306	34	-	-	PUNCT
fuelectenerg-13520	306	35	plane	plane	NOUN
fuelectenerg-13520	306	36	of	of	ADP
fuelectenerg-13520	306	37	s	s	NOUN
fuelectenerg-13520	306	38	-	-	NOUN
fuelectenerg-13520	306	39	plane	plane	NOUN
fuelectenerg-13520	306	40	are	be	AUX
fuelectenerg-13520	306	41	selected	select	VERB
fuelectenerg-13520	306	42	.	.	PUNCT
fuelectenerg-13520	307	1	the	the	DET
fuelectenerg-13520	307	2	pole	pole	NOUN
fuelectenerg-13520	307	3	-	-	PUNCT
fuelectenerg-13520	307	4	zero	zero	NUM
fuelectenerg-13520	307	5	positions	position	NOUN
fuelectenerg-13520	307	6	of	of	ADP
fuelectenerg-13520	307	7	the	the	DET
fuelectenerg-13520	307	8	7th	7th	ADJ
fuelectenerg-13520	307	9	-	-	PUNCT
fuelectenerg-13520	307	10	degree	degree	NOUN
fuelectenerg-13520	307	11	transfer	transfer	NOUN
fuelectenerg-13520	307	12	functions	function	NOUN
fuelectenerg-13520	307	13	that	that	PRON
fuelectenerg-13520	307	14	correspond	correspond	VERB
fuelectenerg-13520	307	15	to	to	ADP
fuelectenerg-13520	307	16	the	the	DET
fuelectenerg-13520	307	17	optimum	optimum	ADJ
fuelectenerg-13520	307	18	all	all	DET
fuelectenerg-13520	307	19	-	-	PUNCT
fuelectenerg-13520	307	20	pole	pole	NOUN
fuelectenerg-13520	307	21	chebyshev	chebyshev	NOUN
fuelectenerg-13520	307	22	and	and	CCONJ
fuelectenerg-13520	307	23	the	the	DET
fuelectenerg-13520	307	24	rational	rational	ADJ
fuelectenerg-13520	307	25	optimum	optimum	NOUN
fuelectenerg-13520	307	26	c	c	NOUN
fuelectenerg-13520	307	27	characteristic	characteristic	ADJ
fuelectenerg-13520	307	28	functions	function	NOUN
fuelectenerg-13520	307	29	for	for	ADP
fuelectenerg-13520	307	30	m	m	NOUN
fuelectenerg-13520	307	31	=	=	SYM
fuelectenerg-13520	307	32	1	1	NUM
fuelectenerg-13520	307	33	,	,	PUNCT
fuelectenerg-13520	307	34	2	2	NUM
fuelectenerg-13520	307	35	,	,	PUNCT
fuelectenerg-13520	307	36	and	and	CCONJ
fuelectenerg-13520	307	37	3	3	NUM
fuelectenerg-13520	307	38	are	be	AUX
fuelectenerg-13520	307	39	shown	show	VERB
fuelectenerg-13520	307	40	in	in	ADP
fuelectenerg-13520	307	41	fig	fig	NOUN
fuelectenerg-13520	307	42	.	.	PUNCT
fuelectenerg-13520	308	1	2	2	X
fuelectenerg-13520	308	2	.	.	X
fuelectenerg-13520	308	3	-1.5	-1.5	NUM
fuelectenerg-13520	308	4	-1	-1	PUNCT
fuelectenerg-13520	308	5	-0.5	-0.5	X
fuelectenerg-13520	308	6	0	0	NUM
fuelectenerg-13520	308	7	real	real	ADJ
fuelectenerg-13520	308	8	part	part	NOUN
fuelectenerg-13520	308	9	-1.5	-1.5	INTJ
fuelectenerg-13520	308	10	-1	-1	PUNCT
fuelectenerg-13520	308	11	-0.5	-0.5	X
fuelectenerg-13520	308	12	0	0	NUM
fuelectenerg-13520	308	13	0.5	0.5	NUM
fuelectenerg-13520	308	14	1	1	NUM
fuelectenerg-13520	308	15	1.5	1.5	NUM
fuelectenerg-13520	308	16	i	i	PRON
fuelectenerg-13520	308	17	m	m	VERB
fuelectenerg-13520	308	18	a	a	DET
fuelectenerg-13520	308	19	g	g	NOUN
fuelectenerg-13520	308	20	in	in	ADP
fuelectenerg-13520	308	21	a	a	DET
fuelectenerg-13520	308	22	ry	ry	NOUN
fuelectenerg-13520	308	23	p	p	NOUN
fuelectenerg-13520	308	24	a	a	DET
fuelectenerg-13520	308	25	rt	rt	NOUN
fuelectenerg-13520	308	26	m	m	NOUN
fuelectenerg-13520	308	27	=	=	PROPN
fuelectenerg-13520	308	28	3	3	NUM
fuelectenerg-13520	308	29	m	m	NOUN
fuelectenerg-13520	308	30	=	=	SYM
fuelectenerg-13520	308	31	2	2	NUM
fuelectenerg-13520	308	32	m	m	NOUN
fuelectenerg-13520	308	33	=	=	NOUN
fuelectenerg-13520	308	34	1	1	NUM
fuelectenerg-13520	308	35	m	m	NOUN
fuelectenerg-13520	308	36	=	=	SYM
fuelectenerg-13520	308	37	0	0	NUM
fuelectenerg-13520	308	38	fig	fig	NOUN
fuelectenerg-13520	308	39	.	.	PUNCT
fuelectenerg-13520	309	1	2	2	X
fuelectenerg-13520	309	2	.	.	X
fuelectenerg-13520	309	3	pole	pole	ADJ
fuelectenerg-13520	309	4	-	-	PUNCT
fuelectenerg-13520	309	5	zero	zero	NUM
fuelectenerg-13520	309	6	positions	position	NOUN
fuelectenerg-13520	309	7	of	of	ADP
fuelectenerg-13520	309	8	7th	7th	ADJ
fuelectenerg-13520	309	9	-	-	PUNCT
fuelectenerg-13520	309	10	degree	degree	NOUN
fuelectenerg-13520	309	11	optimum	optimum	NOUN
fuelectenerg-13520	309	12	c	c	NOUN
fuelectenerg-13520	309	13	filters	filter	NOUN
fuelectenerg-13520	309	14	.	.	PUNCT
fuelectenerg-13520	310	1	the	the	DET
fuelectenerg-13520	310	2	zero	zero	NUM
fuelectenerg-13520	310	3	locations	location	NOUN
fuelectenerg-13520	310	4	for	for	ADP
fuelectenerg-13520	310	5	m	m	NOUN
fuelectenerg-13520	310	6	=	=	SYM
fuelectenerg-13520	310	7	1	1	NUM
fuelectenerg-13520	310	8	,	,	PUNCT
fuelectenerg-13520	310	9	2	2	NUM
fuelectenerg-13520	310	10	and	and	CCONJ
fuelectenerg-13520	310	11	3	3	NUM
fuelectenerg-13520	310	12	are	be	AUX
fuelectenerg-13520	310	13	represented	represent	VERB
fuelectenerg-13520	310	14	by	by	ADP
fuelectenerg-13520	310	15	⋄	⋄	PROPN
fuelectenerg-13520	310	16	,	,	PUNCT
fuelectenerg-13520	310	17	□	□	PUNCT
fuelectenerg-13520	310	18	and	and	CCONJ
fuelectenerg-13520	310	19	◦	◦	NOUN
fuelectenerg-13520	310	20	,	,	PUNCT
fuelectenerg-13520	310	21	respectively	respectively	ADV
fuelectenerg-13520	310	22	.	.	PUNCT
fuelectenerg-13520	311	1	the	the	DET
fuelectenerg-13520	311	2	differences	difference	NOUN
fuelectenerg-13520	311	3	in	in	ADP
fuelectenerg-13520	311	4	pole	pole	NOUN
fuelectenerg-13520	311	5	positions	position	NOUN
fuelectenerg-13520	311	6	of	of	ADP
fuelectenerg-13520	311	7	all	all	DET
fuelectenerg-13520	311	8	transfer	transfer	NOUN
fuelectenerg-13520	311	9	functions	function	NOUN
fuelectenerg-13520	311	10	are	be	AUX
fuelectenerg-13520	311	11	minor	minor	ADJ
fuelectenerg-13520	311	12	.	.	PUNCT
fuelectenerg-13520	312	1	however	however	ADV
fuelectenerg-13520	312	2	,	,	PUNCT
fuelectenerg-13520	312	3	the	the	DET
fuelectenerg-13520	312	4	calculation	calculation	NOUN
fuelectenerg-13520	312	5	of	of	ADP
fuelectenerg-13520	312	6	the	the	DET
fuelectenerg-13520	312	7	critical	critical	ADJ
fuelectenerg-13520	312	8	quality	quality	NOUN
fuelectenerg-13520	312	9	factor	factor	NOUN
fuelectenerg-13520	312	10	,	,	PUNCT
fuelectenerg-13520	312	11	defined	define	VERB
fuelectenerg-13520	312	12	as	as	ADP
fuelectenerg-13520	312	13	qc	qc	PROPN
fuelectenerg-13520	312	14	=	=	SYM
fuelectenerg-13520	312	15	−0.5|p1|/σ1	−0.5|p1|/σ1	PROPN
fuelectenerg-13520	312	16	,	,	PUNCT
fuelectenerg-13520	312	17	where	where	SCONJ
fuelectenerg-13520	312	18	p1	p1	PROPN
fuelectenerg-13520	312	19	=	=	PROPN
fuelectenerg-13520	312	20	σ1	σ1	PROPN
fuelectenerg-13520	312	21	±	±	PROPN
fuelectenerg-13520	312	22	jω1	jω1	ADJ
fuelectenerg-13520	312	23	is	be	AUX
fuelectenerg-13520	312	24	the	the	DET
fuelectenerg-13520	312	25	pole	pole	ADJ
fuelectenerg-13520	312	26	pair	pair	NOUN
fuelectenerg-13520	312	27	that	that	PRON
fuelectenerg-13520	312	28	is	be	AUX
fuelectenerg-13520	312	29	closest	close	ADJ
fuelectenerg-13520	312	30	to	to	ADP
fuelectenerg-13520	312	31	the	the	DET
fuelectenerg-13520	312	32	imaginary	imaginary	ADJ
fuelectenerg-13520	312	33	axis	axis	NOUN
fuelectenerg-13520	312	34	,	,	PUNCT
fuelectenerg-13520	312	35	is	be	AUX
fuelectenerg-13520	312	36	of	of	ADP
fuelectenerg-13520	312	37	practical	practical	ADJ
fuelectenerg-13520	312	38	interest	interest	NOUN
fuelectenerg-13520	312	39	.	.	PUNCT
fuelectenerg-13520	313	1	this	this	DET
fuelectenerg-13520	313	2	factor	factor	NOUN
fuelectenerg-13520	313	3	is	be	AUX
fuelectenerg-13520	313	4	commonly	commonly	ADV
fuelectenerg-13520	313	5	used	use	VERB
fuelectenerg-13520	313	6	to	to	PART
fuelectenerg-13520	313	7	compare	compare	VERB
fuelectenerg-13520	313	8	the	the	DET
fuelectenerg-13520	313	9	sensitivity	sensitivity	NOUN
fuelectenerg-13520	313	10	of	of	ADP
fuelectenerg-13520	313	11	networks	network	NOUN
fuelectenerg-13520	313	12	and	and	CCONJ
fuelectenerg-13520	313	13	its	its	PRON
fuelectenerg-13520	313	14	values	value	NOUN
fuelectenerg-13520	313	15	are	be	AUX
fuelectenerg-13520	313	16	listed	list	VERB
fuelectenerg-13520	313	17	in	in	ADP
fuelectenerg-13520	313	18	table	table	NOUN
fuelectenerg-13520	313	19	2	2	NUM
fuelectenerg-13520	313	20	.	.	PUNCT
fuelectenerg-13520	314	1	the	the	DET
fuelectenerg-13520	314	2	value	value	NOUN
fuelectenerg-13520	314	3	of	of	ADP
fuelectenerg-13520	314	4	qc	qc	PROPN
fuelectenerg-13520	314	5	increases	increase	NOUN
fuelectenerg-13520	314	6	with	with	ADP
fuelectenerg-13520	314	7	increasing	increase	VERB
fuelectenerg-13520	314	8	m.	m.	NOUN
fuelectenerg-13520	314	9	however	however	ADV
fuelectenerg-13520	314	10	,	,	PUNCT
fuelectenerg-13520	314	11	the	the	DET
fuelectenerg-13520	314	12	difference	difference	NOUN
fuelectenerg-13520	314	13	in	in	ADP
fuelectenerg-13520	314	14	qc	qc	PROPN
fuelectenerg-13520	314	15	between	between	ADP
fuelectenerg-13520	314	16	m	m	PROPN
fuelectenerg-13520	314	17	=	=	SYM
fuelectenerg-13520	314	18	2	2	NUM
fuelectenerg-13520	314	19	and	and	CCONJ
fuelectenerg-13520	314	20	m	m	VERB
fuelectenerg-13520	314	21	=	=	VERB
fuelectenerg-13520	314	22	3	3	NUM
fuelectenerg-13520	314	23	is	be	AUX
fuelectenerg-13520	314	24	minimal	minimal	ADJ
fuelectenerg-13520	314	25	,	,	PUNCT
fuelectenerg-13520	314	26	indicating	indicate	VERB
fuelectenerg-13520	314	27	that	that	SCONJ
fuelectenerg-13520	314	28	their	their	PRON
fuelectenerg-13520	314	29	passband	passband	NOUN
fuelectenerg-13520	314	30	sensitivities	sensitivity	NOUN
fuelectenerg-13520	314	31	are	be	AUX
fuelectenerg-13520	314	32	almost	almost	ADV
fuelectenerg-13520	314	33	the	the	DET
fuelectenerg-13520	314	34	same	same	ADJ
fuelectenerg-13520	314	35	.	.	PUNCT
fuelectenerg-13520	315	1	fig	fig	NOUN
fuelectenerg-13520	315	2	.	.	PUNCT
fuelectenerg-13520	316	1	3	3	NUM
fuelectenerg-13520	316	2	compares	compare	VERB
fuelectenerg-13520	316	3	the	the	DET
fuelectenerg-13520	316	4	steady	steady	ADJ
fuelectenerg-13520	316	5	-	-	PUNCT
fuelectenerg-13520	316	6	state	state	NOUN
fuelectenerg-13520	316	7	responses	response	NOUN
fuelectenerg-13520	316	8	,	,	PUNCT
fuelectenerg-13520	316	9	including	include	VERB
fuelectenerg-13520	316	10	the	the	DET
fuelectenerg-13520	316	11	insertion	insertion	NOUN
fuelectenerg-13520	316	12	loss	loss	NOUN
fuelectenerg-13520	316	13	in	in	ADP
fuelectenerg-13520	316	14	db	db	PROPN
fuelectenerg-13520	316	15	,	,	PUNCT
fuelectenerg-13520	316	16	given	give	VERB
fuelectenerg-13520	316	17	by	by	ADP
fuelectenerg-13520	316	18	il	il	PROPN
fuelectenerg-13520	316	19	=	=	PROPN
fuelectenerg-13520	316	20	20	20	NUM
fuelectenerg-13520	316	21	log10	log10	PROPN
fuelectenerg-13520	316	22	(	(	PUNCT
fuelectenerg-13520	316	23	|s21(jω)|	|s21(jω)|	PROPN
fuelectenerg-13520	316	24	)	)	PUNCT
fuelectenerg-13520	316	25	,	,	PUNCT
fuelectenerg-13520	316	26	and	and	CCONJ
fuelectenerg-13520	316	27	the	the	DET
fuelectenerg-13520	316	28	group	group	NOUN
fuelectenerg-13520	316	29	delay	delay	NOUN
fuelectenerg-13520	316	30	responses	response	NOUN
fuelectenerg-13520	316	31	of	of	ADP
fuelectenerg-13520	316	32	the	the	DET
fuelectenerg-13520	316	33	filters	filter	NOUN
fuelectenerg-13520	316	34	,	,	PUNCT
fuelectenerg-13520	316	35	whose	whose	DET
fuelectenerg-13520	316	36	4since	4since	NUM
fuelectenerg-13520	316	37	|s21(jω)|2	|s21(jω)|2	VERB
fuelectenerg-13520	316	38	=	=	PUNCT
fuelectenerg-13520	316	39	1	1	NUM
fuelectenerg-13520	316	40	1	1	NUM
fuelectenerg-13520	316	41	+	+	NUM
fuelectenerg-13520	316	42	n2	n2	ADJ
fuelectenerg-13520	316	43	n(ω	n(ω	PROPN
fuelectenerg-13520	316	44	)	)	PUNCT
fuelectenerg-13520	316	45	d2	d2	NOUN
fuelectenerg-13520	316	46	2m(ω	2m(ω	PROPN
fuelectenerg-13520	316	47	)	)	PUNCT
fuelectenerg-13520	317	1	∣∣∣∣∣	∣∣∣∣∣	ADP
fuelectenerg-13520	317	2	ω=−js	ω=−js	NUM
fuelectenerg-13520	317	3	=	=	SYM
fuelectenerg-13520	317	4	d2	d2	PROPN
fuelectenerg-13520	317	5	2m(−js	2m(−js	NUM
fuelectenerg-13520	317	6	)	)	PUNCT
fuelectenerg-13520	317	7	d2	d2	PROPN
fuelectenerg-13520	317	8	2m(−js)+n2	2m(−js)+n2	PROPN
fuelectenerg-13520	317	9	n(−js	n(−js	PROPN
fuelectenerg-13520	317	10	)	)	PUNCT
fuelectenerg-13520	317	11	,	,	PUNCT
fuelectenerg-13520	317	12	follows	follow	VERB
fuelectenerg-13520	317	13	(	(	PUNCT
fuelectenerg-13520	317	14	21	21	NUM
fuelectenerg-13520	317	15	)	)	PUNCT
fuelectenerg-13520	317	16	.	.	PUNCT
fuelectenerg-13520	318	1	48	48	NUM
fuelectenerg-13520	318	2	n.	n.	PROPN
fuelectenerg-13520	318	3	stojanović	stojanović	PROPN
fuelectenerg-13520	318	4	,	,	PUNCT
fuelectenerg-13520	318	5	i.	i.	PROPN
fuelectenerg-13520	318	6	krstić	krstić	PROPN
fuelectenerg-13520	318	7	,	,	PUNCT
fuelectenerg-13520	318	8	n.	n.	PROPN
fuelectenerg-13520	318	9	stamenković	stamenković	VERB
fuelectenerg-13520	318	10	optimum	optimum	PROPN
fuelectenerg-13520	318	11	chebyshev	chebyshev	PROPN
fuelectenerg-13520	318	12	lowpass	lowpass	NOUN
fuelectenerg-13520	318	13	filter	filter	NOUN
fuelectenerg-13520	318	14	with	with	ADP
fuelectenerg-13520	318	15	a	a	DET
fuelectenerg-13520	318	16	pair	pair	NOUN
fuelectenerg-13520	318	17	of	of	ADP
fuelectenerg-13520	318	18	imaginary	imaginary	ADJ
fuelectenerg-13520	318	19	-	-	PUNCT
fuelectenerg-13520	318	20	axis	axis	NOUN
fuelectenerg-13520	318	21	zeros	zero	NOUN
fuelectenerg-13520	318	22	49	49	NUM
fuelectenerg-13520	318	23	108	108	NUM
fuelectenerg-13520	318	24	n.	n.	NOUN
fuelectenerg-13520	318	25	stojanović	stojanović	PROPN
fuelectenerg-13520	318	26	,	,	PUNCT
fuelectenerg-13520	318	27	i.	i.	PROPN
fuelectenerg-13520	318	28	krstić	krstić	PROPN
fuelectenerg-13520	318	29	,	,	PUNCT
fuelectenerg-13520	318	30	n.	n.	PROPN
fuelectenerg-13520	318	31	stamenković	stamenković	PROPN
fuelectenerg-13520	318	32	pole	pole	PROPN
fuelectenerg-13520	318	33	-	-	PUNCT
fuelectenerg-13520	318	34	zero	zero	NUM
fuelectenerg-13520	318	35	positions	position	NOUN
fuelectenerg-13520	318	36	are	be	AUX
fuelectenerg-13520	318	37	shown	show	VERB
fuelectenerg-13520	318	38	in	in	ADP
fuelectenerg-13520	318	39	fig	fig	NOUN
fuelectenerg-13520	318	40	.	.	PUNCT
fuelectenerg-13520	319	1	2	2	X
fuelectenerg-13520	319	2	.	.	X
fuelectenerg-13520	319	3	all	all	DET
fuelectenerg-13520	319	4	filters	filter	NOUN
fuelectenerg-13520	319	5	share	share	VERB
fuelectenerg-13520	319	6	the	the	DET
fuelectenerg-13520	319	7	same	same	ADJ
fuelectenerg-13520	319	8	half	half	ADJ
fuelectenerg-13520	319	9	-	-	PUNCT
fuelectenerg-13520	319	10	power	power	NOUN
fuelectenerg-13520	319	11	bandwidth	bandwidth	NOUN
fuelectenerg-13520	319	12	(	(	PUNCT
fuelectenerg-13520	319	13	normalized	normalize	VERB
fuelectenerg-13520	319	14	to	to	ADP
fuelectenerg-13520	319	15	1	1	NUM
fuelectenerg-13520	319	16	)	)	PUNCT
fuelectenerg-13520	319	17	and	and	CCONJ
fuelectenerg-13520	319	18	exhibit	exhibit	VERB
fuelectenerg-13520	319	19	nearly	nearly	ADV
fuelectenerg-13520	319	20	identical	identical	ADJ
fuelectenerg-13520	319	21	passband	passband	NOUN
fuelectenerg-13520	319	22	characteristics	characteristic	NOUN
fuelectenerg-13520	319	23	.	.	PUNCT
fuelectenerg-13520	320	1	table	table	NOUN
fuelectenerg-13520	320	2	2	2	NUM
fuelectenerg-13520	320	3	provides	provide	VERB
fuelectenerg-13520	320	4	the	the	DET
fuelectenerg-13520	320	5	ripple	ripple	ADJ
fuelectenerg-13520	320	6	band	band	NOUN
fuelectenerg-13520	320	7	,	,	PUNCT
fuelectenerg-13520	320	8	ωr	ωr	ADP
fuelectenerg-13520	320	9	=	=	SYM
fuelectenerg-13520	320	10	1	1	NUM
fuelectenerg-13520	320	11	/	/	SYM
fuelectenerg-13520	320	12	λ	λ	NOUN
fuelectenerg-13520	320	13	,	,	PUNCT
fuelectenerg-13520	320	14	and	and	CCONJ
fuelectenerg-13520	320	15	transmission	transmission	NOUN
fuelectenerg-13520	320	16	zero	zero	NUM
fuelectenerg-13520	320	17	,	,	PUNCT
fuelectenerg-13520	320	18	ω0	ω0	ADV
fuelectenerg-13520	320	19	=	=	SYM
fuelectenerg-13520	320	20	χ	χ	X
fuelectenerg-13520	320	21	/	/	SYM
fuelectenerg-13520	320	22	λ	λ	NOUN
fuelectenerg-13520	320	23	,	,	PUNCT
fuelectenerg-13520	320	24	for	for	ADP
fuelectenerg-13520	320	25	each	each	DET
fuelectenerg-13520	320	26	filter	filter	NOUN
fuelectenerg-13520	320	27	.	.	PUNCT
fuelectenerg-13520	321	1	the	the	DET
fuelectenerg-13520	321	2	main	main	ADJ
fuelectenerg-13520	321	3	difference	difference	NOUN
fuelectenerg-13520	321	4	lies	lie	VERB
fuelectenerg-13520	321	5	in	in	ADP
fuelectenerg-13520	321	6	their	their	PRON
fuelectenerg-13520	321	7	stopband	stopband	NOUN
fuelectenerg-13520	321	8	behavior	behavior	NOUN
fuelectenerg-13520	321	9	.	.	PUNCT
fuelectenerg-13520	322	1	10−1	10−1	NUM
fuelectenerg-13520	322	2	100	100	NUM
fuelectenerg-13520	322	3	normalized	normalize	VERB
fuelectenerg-13520	322	4	frequency	frequency	NOUN
fuelectenerg-13520	322	5	,	,	PUNCT
fuelectenerg-13520	322	6	ω	ω	PROPN
fuelectenerg-13520	322	7	0	0	NUM
fuelectenerg-13520	322	8	10	10	NUM
fuelectenerg-13520	322	9	20	20	NUM
fuelectenerg-13520	322	10	30	30	NUM
fuelectenerg-13520	322	11	40	40	NUM
fuelectenerg-13520	322	12	50	50	NUM
fuelectenerg-13520	322	13	60	60	NUM
fuelectenerg-13520	322	14	70	70	NUM
fuelectenerg-13520	322	15	s	s	NOUN
fuelectenerg-13520	322	16	to	to	ADP
fuelectenerg-13520	322	17	p	p	PROPN
fuelectenerg-13520	322	18	b	b	PROPN
fuelectenerg-13520	322	19	a	a	DET
fuelectenerg-13520	322	20	n	n	NOUN
fuelectenerg-13520	322	21	d	d	PROPN
fuelectenerg-13520	322	22	in	in	ADP
fuelectenerg-13520	322	23	se	se	PROPN
fuelectenerg-13520	322	24	rt	rt	PROPN
fuelectenerg-13520	322	25	io	io	PROPN
fuelectenerg-13520	323	1	n	n	PROPN
fuelectenerg-13520	324	1	lo	lo	PROPN
fuelectenerg-13520	324	2	ss	ss	INTJ
fuelectenerg-13520	324	3	,	,	PUNCT
fuelectenerg-13520	325	1	d	d	PROPN
fuelectenerg-13520	325	2	b	b	PROPN
fuelectenerg-13520	325	3	ωs	ωs	ADP
fuelectenerg-13520	325	4	0	0	NUM
fuelectenerg-13520	325	5	0.1	0.1	NUM
fuelectenerg-13520	325	6	0.2	0.2	NUM
fuelectenerg-13520	325	7	p	p	NOUN
fuelectenerg-13520	325	8	a	a	DET
fuelectenerg-13520	325	9	ss	ss	NOUN
fuelectenerg-13520	325	10	b	b	PROPN
fuelectenerg-13520	325	11	a	a	DET
fuelectenerg-13520	325	12	n	n	NOUN
fuelectenerg-13520	325	13	d	d	NOUN
fuelectenerg-13520	325	14	r	r	NOUN
fuelectenerg-13520	325	15	ip	ip	NOUN
fuelectenerg-13520	325	16	p	p	X
fuelectenerg-13520	325	17	le	le	X
fuelectenerg-13520	325	18	,	,	PUNCT
fuelectenerg-13520	325	19	d	d	PROPN
fuelectenerg-13520	325	20	b	b	X
fuelectenerg-13520	325	21	0	0	NUM
fuelectenerg-13520	325	22	10	10	NUM
fuelectenerg-13520	325	23	20	20	NUM
fuelectenerg-13520	325	24	30	30	NUM
fuelectenerg-13520	325	25	40	40	NUM
fuelectenerg-13520	325	26	g	g	NOUN
fuelectenerg-13520	325	27	ro	ro	NOUN
fuelectenerg-13520	325	28	u	u	NOUN
fuelectenerg-13520	325	29	p	p	PROPN
fuelectenerg-13520	325	30	d	d	PROPN
fuelectenerg-13520	325	31	el	el	PROPN
fuelectenerg-13520	325	32	a	a	PROPN
fuelectenerg-13520	325	33	y	y	PROPN
fuelectenerg-13520	325	34	,	,	PUNCT
fuelectenerg-13520	325	35	s	s	PART
fuelectenerg-13520	325	36	m	m	NOUN
fuelectenerg-13520	325	37	=	=	SYM
fuelectenerg-13520	325	38	3	3	NUM
fuelectenerg-13520	325	39	m	m	NOUN
fuelectenerg-13520	325	40	=	=	SYM
fuelectenerg-13520	325	41	2	2	NUM
fuelectenerg-13520	325	42	m	m	NOUN
fuelectenerg-13520	325	43	=	=	NOUN
fuelectenerg-13520	325	44	1	1	NUM
fuelectenerg-13520	325	45	m	m	NOUN
fuelectenerg-13520	325	46	=	=	SYM
fuelectenerg-13520	325	47	0	0	NUM
fuelectenerg-13520	325	48	fig	fig	NOUN
fuelectenerg-13520	325	49	.	.	PUNCT
fuelectenerg-13520	326	1	3	3	X
fuelectenerg-13520	326	2	.	.	X
fuelectenerg-13520	327	1	the	the	DET
fuelectenerg-13520	327	2	steady	steady	ADJ
fuelectenerg-13520	327	3	-	-	PUNCT
fuelectenerg-13520	327	4	state	state	NOUN
fuelectenerg-13520	327	5	responses	response	NOUN
fuelectenerg-13520	327	6	of	of	ADP
fuelectenerg-13520	327	7	the	the	DET
fuelectenerg-13520	327	8	7th	7th	ADJ
fuelectenerg-13520	327	9	-	-	PUNCT
fuelectenerg-13520	327	10	degree	degree	NOUN
fuelectenerg-13520	327	11	optimum	optimum	NOUN
fuelectenerg-13520	327	12	c	c	NOUN
fuelectenerg-13520	327	13	lowpass	lowpass	NOUN
fuelectenerg-13520	327	14	filters	filter	NOUN
fuelectenerg-13520	327	15	for	for	ADP
fuelectenerg-13520	327	16	m	m	PROPN
fuelectenerg-13520	327	17	=	=	SYM
fuelectenerg-13520	327	18	0	0	NUM
fuelectenerg-13520	327	19	,	,	PUNCT
fuelectenerg-13520	327	20	1	1	NUM
fuelectenerg-13520	327	21	,	,	PUNCT
fuelectenerg-13520	327	22	2	2	NUM
fuelectenerg-13520	327	23	,	,	PUNCT
fuelectenerg-13520	327	24	and	and	CCONJ
fuelectenerg-13520	327	25	3	3	X
fuelectenerg-13520	327	26	.	.	PUNCT
fuelectenerg-13520	328	1	the	the	DET
fuelectenerg-13520	328	2	stopband	stopband	NOUN
fuelectenerg-13520	328	3	edge	edge	NOUN
fuelectenerg-13520	328	4	frequencies	frequency	NOUN
fuelectenerg-13520	328	5	,	,	PUNCT
fuelectenerg-13520	328	6	ωs	ωs	PROPN
fuelectenerg-13520	328	7	,	,	PUNCT
fuelectenerg-13520	328	8	are	be	AUX
fuelectenerg-13520	328	9	defined	define	VERB
fuelectenerg-13520	328	10	as	as	ADP
fuelectenerg-13520	328	11	the	the	DET
fuelectenerg-13520	328	12	frequencies	frequency	NOUN
fuelectenerg-13520	328	13	where	where	SCONJ
fuelectenerg-13520	328	14	the	the	DET
fuelectenerg-13520	328	15	outof	outof	PROPN
fuelectenerg-13520	328	16	-	-	PUNCT
fuelectenerg-13520	328	17	band	band	NOUN
fuelectenerg-13520	328	18	attenuation	attenuation	NOUN
fuelectenerg-13520	328	19	first	first	ADV
fuelectenerg-13520	328	20	reaches	reach	VERB
fuelectenerg-13520	328	21	the	the	DET
fuelectenerg-13520	328	22	specified	specified	ADJ
fuelectenerg-13520	328	23	minimum	minimum	ADJ
fuelectenerg-13520	328	24	value	value	NOUN
fuelectenerg-13520	328	25	of	of	ADP
fuelectenerg-13520	328	26	ils	ils	X
fuelectenerg-13520	328	27	=	=	SYM
fuelectenerg-13520	328	28	50	50	NUM
fuelectenerg-13520	328	29	db	db	NOUN
fuelectenerg-13520	328	30	.	.	PUNCT
fuelectenerg-13520	329	1	these	these	DET
fuelectenerg-13520	329	2	values	value	NOUN
fuelectenerg-13520	329	3	are	be	AUX
fuelectenerg-13520	329	4	listed	list	VERB
fuelectenerg-13520	329	5	in	in	ADP
fuelectenerg-13520	329	6	table	table	NOUN
fuelectenerg-13520	329	7	2	2	NUM
fuelectenerg-13520	329	8	.	.	PUNCT
fuelectenerg-13520	330	1	in	in	ADP
fuelectenerg-13520	330	2	fig	fig	NOUN
fuelectenerg-13520	330	3	.	.	PUNCT
fuelectenerg-13520	331	1	3	3	NUM
fuelectenerg-13520	331	2	,	,	PUNCT
fuelectenerg-13520	331	3	the	the	DET
fuelectenerg-13520	331	4	stopband	stopband	NOUN
fuelectenerg-13520	331	5	edge	edge	NOUN
fuelectenerg-13520	331	6	frequency	frequency	NOUN
fuelectenerg-13520	331	7	is	be	AUX
fuelectenerg-13520	331	8	explicitly	explicitly	ADV
fuelectenerg-13520	331	9	assigned	assign	VERB
fuelectenerg-13520	331	10	only	only	ADV
fuelectenerg-13520	331	11	for	for	ADP
fuelectenerg-13520	331	12	m	m	PROPN
fuelectenerg-13520	331	13	=	=	SYM
fuelectenerg-13520	331	14	0	0	NUM
fuelectenerg-13520	331	15	,	,	PUNCT
fuelectenerg-13520	331	16	as	as	SCONJ
fuelectenerg-13520	331	17	it	it	PRON
fuelectenerg-13520	331	18	is	be	AUX
fuelectenerg-13520	331	19	easily	easily	ADV
fuelectenerg-13520	331	20	identifiable	identifiable	ADJ
fuelectenerg-13520	331	21	for	for	ADP
fuelectenerg-13520	331	22	the	the	DET
fuelectenerg-13520	331	23	other	other	ADJ
fuelectenerg-13520	331	24	three	three	NUM
fuelectenerg-13520	331	25	filters	filter	NOUN
fuelectenerg-13520	331	26	.	.	PUNCT
fuelectenerg-13520	332	1	it	it	PRON
fuelectenerg-13520	332	2	may	may	AUX
fuelectenerg-13520	332	3	be	be	AUX
fuelectenerg-13520	332	4	seen	see	VERB
fuelectenerg-13520	332	5	that	that	SCONJ
fuelectenerg-13520	332	6	all	all	DET
fuelectenerg-13520	332	7	rational	rational	ADJ
fuelectenerg-13520	332	8	optimum	optimum	NOUN
fuelectenerg-13520	332	9	c	c	NOUN
fuelectenerg-13520	332	10	filters	filter	NOUN
fuelectenerg-13520	332	11	have	have	VERB
fuelectenerg-13520	332	12	one	one	NUM
fuelectenerg-13520	332	13	attenuation	attenuation	NOUN
fuelectenerg-13520	332	14	lobe	lobe	VERB
fuelectenerg-13520	332	15	,	,	PUNCT
fuelectenerg-13520	332	16	each	each	PRON
fuelectenerg-13520	332	17	with	with	ADP
fuelectenerg-13520	332	18	a	a	DET
fuelectenerg-13520	332	19	level	level	NOUN
fuelectenerg-13520	332	20	of	of	ADP
fuelectenerg-13520	332	21	50	50	NUM
fuelectenerg-13520	332	22	db	db	NOUN
fuelectenerg-13520	332	23	,	,	PUNCT
fuelectenerg-13520	332	24	at	at	ADP
fuelectenerg-13520	332	25	frequencies	frequency	NOUN
fuelectenerg-13520	332	26	ω′	ω′	PROPN
fuelectenerg-13520	332	27	m	m	PROPN
fuelectenerg-13520	332	28	,	,	PUNCT
fuelectenerg-13520	332	29	which	which	PRON
fuelectenerg-13520	332	30	are	be	AUX
fuelectenerg-13520	332	31	listed	list	VERB
fuelectenerg-13520	332	32	in	in	ADP
fuelectenerg-13520	332	33	table	table	NOUN
fuelectenerg-13520	332	34	2	2	NUM
fuelectenerg-13520	332	35	.	.	PUNCT
fuelectenerg-13520	333	1	the	the	DET
fuelectenerg-13520	333	2	cutoff	cutoff	NOUN
fuelectenerg-13520	333	3	slope	slope	NOUN
fuelectenerg-13520	333	4	,	,	PUNCT
fuelectenerg-13520	333	5	commonly	commonly	ADV
fuelectenerg-13520	333	6	defined	define	VERB
fuelectenerg-13520	333	7	as	as	ADP
fuelectenerg-13520	333	8	the	the	DET
fuelectenerg-13520	333	9	first	first	ADJ
fuelectenerg-13520	333	10	derivative	derivative	NOUN
fuelectenerg-13520	333	11	of	of	ADP
fuelectenerg-13520	333	12	the	the	DET
fuelectenerg-13520	333	13	transmission	transmission	NOUN
fuelectenerg-13520	333	14	coefficient	coefficient	NOUN
fuelectenerg-13520	333	15	(	(	PUNCT
fuelectenerg-13520	333	16	1	1	NUM
fuelectenerg-13520	333	17	)	)	PUNCT
fuelectenerg-13520	333	18	at	at	ADP
fuelectenerg-13520	333	19	the	the	DET
fuelectenerg-13520	333	20	half	half	ADJ
fuelectenerg-13520	333	21	-	-	PUNCT
fuelectenerg-13520	333	22	power	power	NOUN
fuelectenerg-13520	333	23	point	point	NOUN
fuelectenerg-13520	333	24	,	,	PUNCT
fuelectenerg-13520	333	25	of	of	ADP
fuelectenerg-13520	333	26	rational	rational	ADJ
fuelectenerg-13520	333	27	optimum	optimum	NOUN
fuelectenerg-13520	333	28	c	c	NOUN
fuelectenerg-13520	333	29	filter	filter	NOUN
fuelectenerg-13520	333	30	can	can	AUX
fuelectenerg-13520	333	31	be	be	AUX
fuelectenerg-13520	333	32	calculated	calculate	VERB
fuelectenerg-13520	333	33	using	use	VERB
fuelectenerg-13520	333	34	the	the	DET
fuelectenerg-13520	333	35	first	first	ADJ
fuelectenerg-13520	333	36	derivative	derivative	NOUN
fuelectenerg-13520	333	37	of	of	ADP
fuelectenerg-13520	333	38	its	its	PRON
fuelectenerg-13520	333	39	characteristic	characteristic	ADJ
fuelectenerg-13520	333	40	function	function	NOUN
fuelectenerg-13520	333	41	as	as	ADP
fuelectenerg-13520	333	42	cs	cs	PROPN
fuelectenerg-13520	334	1	=	=	PROPN
fuelectenerg-13520	334	2	d	d	PROPN
fuelectenerg-13520	334	3	dω	dω	VERB
fuelectenerg-13520	334	4	|s21(jω)|	|s21(jω)|	PROPN
fuelectenerg-13520	334	5	∣∣∣∣	∣∣∣∣	NOUN
fuelectenerg-13520	334	6	ω=1	ω=1	SYM
fuelectenerg-13520	334	7	=	=	SYM
fuelectenerg-13520	334	8	−	−	PROPN
fuelectenerg-13520	335	1	1	1	NUM
fuelectenerg-13520	335	2	2	2	NUM
fuelectenerg-13520	335	3	√	√	NUM
fuelectenerg-13520	335	4	2	2	NUM
fuelectenerg-13520	335	5	d	d	NOUN
fuelectenerg-13520	335	6	dω	dω	ADP
fuelectenerg-13520	335	7	c(ε	c(ε	PROPN
fuelectenerg-13520	335	8	)	)	PUNCT
fuelectenerg-13520	335	9	n	n	CCONJ
fuelectenerg-13520	335	10	,	,	PUNCT
fuelectenerg-13520	335	11	m(ω	m(ω	PROPN
fuelectenerg-13520	335	12	)	)	PUNCT
fuelectenerg-13520	335	13	∣∣∣∣	∣∣∣∣	NOUN
fuelectenerg-13520	335	14	ω=1	ω=1	SYM
fuelectenerg-13520	335	15	(	(	PUNCT
fuelectenerg-13520	335	16	22	22	NUM
fuelectenerg-13520	335	17	)	)	PUNCT
fuelectenerg-13520	335	18	since	since	SCONJ
fuelectenerg-13520	335	19	c(ε	c(ε	PROPN
fuelectenerg-13520	335	20	)	)	PUNCT
fuelectenerg-13520	335	21	n	n	CCONJ
fuelectenerg-13520	335	22	,	,	PUNCT
fuelectenerg-13520	335	23	m(1	m(1	NOUN
fuelectenerg-13520	335	24	)	)	PUNCT
fuelectenerg-13520	335	25	=	=	SYM
fuelectenerg-13520	336	1	1	1	X
fuelectenerg-13520	336	2	.	.	PUNCT
fuelectenerg-13520	337	1	the	the	DET
fuelectenerg-13520	337	2	cutoff	cutoff	NOUN
fuelectenerg-13520	337	3	slopes	slope	NOUN
fuelectenerg-13520	337	4	of	of	ADP
fuelectenerg-13520	337	5	all	all	DET
fuelectenerg-13520	337	6	considered	consider	VERB
fuelectenerg-13520	337	7	7th	7th	ADJ
fuelectenerg-13520	337	8	-	-	PUNCT
fuelectenerg-13520	337	9	degree	degree	NOUN
fuelectenerg-13520	337	10	filters	filter	NOUN
fuelectenerg-13520	337	11	are	be	AUX
fuelectenerg-13520	337	12	provided	provide	VERB
fuelectenerg-13520	337	13	in	in	ADP
fuelectenerg-13520	337	14	table	table	NOUN
fuelectenerg-13520	337	15	2	2	NUM
fuelectenerg-13520	337	16	.	.	PUNCT
fuelectenerg-13520	337	17	increasing	increase	VERB
fuelectenerg-13520	337	18	the	the	DET
fuelectenerg-13520	337	19	multiplicity	multiplicity	NOUN
fuelectenerg-13520	337	20	of	of	ADP
fuelectenerg-13520	337	21	the	the	DET
fuelectenerg-13520	337	22	transmission	transmission	NOUN
fuelectenerg-13520	337	23	zero	zero	NUM
fuelectenerg-13520	337	24	results	result	NOUN
fuelectenerg-13520	337	25	in	in	ADP
fuelectenerg-13520	337	26	a	a	DET
fuelectenerg-13520	337	27	lower	low	ADJ
fuelectenerg-13520	337	28	stopband	stopband	NOUN
fuelectenerg-13520	337	29	edge	edge	NOUN
fuelectenerg-13520	337	30	frequency	frequency	NOUN
fuelectenerg-13520	337	31	and	and	CCONJ
fuelectenerg-13520	337	32	steeper	steep	ADJ
fuelectenerg-13520	337	33	cutoff	cutoff	NOUN
fuelectenerg-13520	337	34	slope	slope	NOUN
fuelectenerg-13520	337	35	.	.	PUNCT
fuelectenerg-13520	338	1	however	however	ADV
fuelectenerg-13520	338	2	,	,	PUNCT
fuelectenerg-13520	338	3	increasing	increase	VERB
fuelectenerg-13520	338	4	the	the	DET
fuelectenerg-13520	338	5	transmission	transmission	NOUN
fuelectenerg-13520	338	6	zero	zero	NUM
fuelectenerg-13520	338	7	multiplicity	multiplicity	NOUN
fuelectenerg-13520	338	8	beyond	beyond	ADP
fuelectenerg-13520	338	9	two	two	NUM
fuelectenerg-13520	338	10	is	be	AUX
fuelectenerg-13520	338	11	unnecessary	unnecessary	ADJ
fuelectenerg-13520	338	12	,	,	PUNCT
fuelectenerg-13520	338	13	as	as	SCONJ
fuelectenerg-13520	338	14	the	the	DET
fuelectenerg-13520	338	15	improvement	improvement	NOUN
fuelectenerg-13520	338	16	becomes	become	VERB
fuelectenerg-13520	338	17	negligible	negligible	ADJ
fuelectenerg-13520	338	18	.	.	PUNCT
fuelectenerg-13520	339	1	notably	notably	ADV
fuelectenerg-13520	339	2	,	,	PUNCT
fuelectenerg-13520	339	3	the	the	DET
fuelectenerg-13520	339	4	magnitude	magnitude	NOUN
fuelectenerg-13520	339	5	response	response	NOUN
fuelectenerg-13520	339	6	of	of	ADP
fuelectenerg-13520	339	7	the	the	DET
fuelectenerg-13520	339	8	filter	filter	NOUN
fuelectenerg-13520	339	9	with	with	ADP
fuelectenerg-13520	339	10	a	a	DET
fuelectenerg-13520	339	11	triple	triple	ADJ
fuelectenerg-13520	339	12	zero	zero	NUM
fuelectenerg-13520	339	13	pair	pair	NOUN
fuelectenerg-13520	339	14	exhibits	exhibit	VERB
fuelectenerg-13520	339	15	a	a	DET
fuelectenerg-13520	339	16	broad	broad	ADJ
fuelectenerg-13520	339	17	stopband	stopband	NOUN
fuelectenerg-13520	339	18	region	region	NOUN
fuelectenerg-13520	339	19	with	with	ADP
fuelectenerg-13520	339	20	extremely	extremely	ADV
fuelectenerg-13520	339	21	high	high	ADJ
fuelectenerg-13520	339	22	attenuation	attenuation	NOUN
fuelectenerg-13520	339	23	.	.	PUNCT
fuelectenerg-13520	340	1	all	all	DET
fuelectenerg-13520	340	2	group	group	NOUN
fuelectenerg-13520	340	3	delay	delay	NOUN
fuelectenerg-13520	340	4	responses	response	NOUN
fuelectenerg-13520	340	5	increase	increase	VERB
fuelectenerg-13520	340	6	monotonically	monotonically	ADV
fuelectenerg-13520	340	7	in	in	ADP
fuelectenerg-13520	340	8	the	the	DET
fuelectenerg-13520	340	9	passband	passband	NOUN
fuelectenerg-13520	340	10	.	.	PUNCT
fuelectenerg-13520	341	1	the	the	DET
fuelectenerg-13520	341	2	differences	difference	NOUN
fuelectenerg-13520	341	3	become	become	VERB
fuelectenerg-13520	341	4	evident	evident	ADJ
fuelectenerg-13520	341	5	only	only	ADV
fuelectenerg-13520	341	6	in	in	ADP
fuelectenerg-13520	341	7	the	the	DET
fuelectenerg-13520	341	8	peak	peak	NOUN
fuelectenerg-13520	341	9	value	value	NOUN
fuelectenerg-13520	341	10	near	near	ADP
fuelectenerg-13520	341	11	the	the	DET
fuelectenerg-13520	341	12	passband	passband	NOUN
fuelectenerg-13520	341	13	edge	edge	NOUN
fuelectenerg-13520	341	14	,	,	PUNCT
fuelectenerg-13520	341	15	which	which	PRON
fuelectenerg-13520	341	16	increases	increase	VERB
fuelectenerg-13520	341	17	as	as	ADP
fuelectenerg-13520	341	18	m	m	PROPN
fuelectenerg-13520	341	19	50	50	NUM
fuelectenerg-13520	341	20	n.	n.	NOUN
fuelectenerg-13520	341	21	stojanović	stojanović	PROPN
fuelectenerg-13520	341	22	,	,	PUNCT
fuelectenerg-13520	341	23	i.	i.	PROPN
fuelectenerg-13520	341	24	krstić	krstić	PROPN
fuelectenerg-13520	341	25	,	,	PUNCT
fuelectenerg-13520	341	26	n.	n.	PROPN
fuelectenerg-13520	341	27	stamenković	stamenković	VERB
fuelectenerg-13520	341	28	optimum	optimum	PROPN
fuelectenerg-13520	341	29	chebyshev	chebyshev	PROPN
fuelectenerg-13520	341	30	lowpass	lowpass	NOUN
fuelectenerg-13520	341	31	filter	filter	NOUN
fuelectenerg-13520	341	32	with	with	ADP
fuelectenerg-13520	341	33	a	a	DET
fuelectenerg-13520	341	34	pair	pair	NOUN
fuelectenerg-13520	341	35	of	of	ADP
fuelectenerg-13520	341	36	imaginary	imaginary	ADJ
fuelectenerg-13520	341	37	-	-	PUNCT
fuelectenerg-13520	341	38	axis	axis	NOUN
fuelectenerg-13520	341	39	zeros	zero	NOUN
fuelectenerg-13520	341	40	51	51	NUM
fuelectenerg-13520	341	41	108	108	NUM
fuelectenerg-13520	341	42	n.	n.	NOUN
fuelectenerg-13520	341	43	stojanović	stojanović	PROPN
fuelectenerg-13520	341	44	,	,	PUNCT
fuelectenerg-13520	341	45	i.	i.	PROPN
fuelectenerg-13520	341	46	krstić	krstić	PROPN
fuelectenerg-13520	341	47	,	,	PUNCT
fuelectenerg-13520	341	48	n.	n.	PROPN
fuelectenerg-13520	341	49	stamenković	stamenković	PROPN
fuelectenerg-13520	341	50	pole	pole	PROPN
fuelectenerg-13520	341	51	-	-	PUNCT
fuelectenerg-13520	341	52	zero	zero	NUM
fuelectenerg-13520	341	53	positions	position	NOUN
fuelectenerg-13520	341	54	are	be	AUX
fuelectenerg-13520	341	55	shown	show	VERB
fuelectenerg-13520	341	56	in	in	ADP
fuelectenerg-13520	341	57	fig	fig	NOUN
fuelectenerg-13520	341	58	.	.	PUNCT
fuelectenerg-13520	342	1	2	2	X
fuelectenerg-13520	342	2	.	.	X
fuelectenerg-13520	342	3	all	all	DET
fuelectenerg-13520	342	4	filters	filter	NOUN
fuelectenerg-13520	342	5	share	share	VERB
fuelectenerg-13520	342	6	the	the	DET
fuelectenerg-13520	342	7	same	same	ADJ
fuelectenerg-13520	342	8	half	half	ADJ
fuelectenerg-13520	342	9	-	-	PUNCT
fuelectenerg-13520	342	10	power	power	NOUN
fuelectenerg-13520	342	11	bandwidth	bandwidth	NOUN
fuelectenerg-13520	342	12	(	(	PUNCT
fuelectenerg-13520	342	13	normalized	normalize	VERB
fuelectenerg-13520	342	14	to	to	ADP
fuelectenerg-13520	342	15	1	1	NUM
fuelectenerg-13520	342	16	)	)	PUNCT
fuelectenerg-13520	342	17	and	and	CCONJ
fuelectenerg-13520	342	18	exhibit	exhibit	VERB
fuelectenerg-13520	342	19	nearly	nearly	ADV
fuelectenerg-13520	342	20	identical	identical	ADJ
fuelectenerg-13520	342	21	passband	passband	NOUN
fuelectenerg-13520	342	22	characteristics	characteristic	NOUN
fuelectenerg-13520	342	23	.	.	PUNCT
fuelectenerg-13520	343	1	table	table	NOUN
fuelectenerg-13520	343	2	2	2	NUM
fuelectenerg-13520	343	3	provides	provide	VERB
fuelectenerg-13520	343	4	the	the	DET
fuelectenerg-13520	343	5	ripple	ripple	ADJ
fuelectenerg-13520	343	6	band	band	NOUN
fuelectenerg-13520	343	7	,	,	PUNCT
fuelectenerg-13520	343	8	ωr	ωr	ADP
fuelectenerg-13520	343	9	=	=	SYM
fuelectenerg-13520	343	10	1	1	NUM
fuelectenerg-13520	343	11	/	/	SYM
fuelectenerg-13520	343	12	λ	λ	NOUN
fuelectenerg-13520	343	13	,	,	PUNCT
fuelectenerg-13520	343	14	and	and	CCONJ
fuelectenerg-13520	343	15	transmission	transmission	NOUN
fuelectenerg-13520	343	16	zero	zero	NUM
fuelectenerg-13520	343	17	,	,	PUNCT
fuelectenerg-13520	343	18	ω0	ω0	ADV
fuelectenerg-13520	343	19	=	=	SYM
fuelectenerg-13520	343	20	χ	χ	X
fuelectenerg-13520	343	21	/	/	SYM
fuelectenerg-13520	343	22	λ	λ	NOUN
fuelectenerg-13520	343	23	,	,	PUNCT
fuelectenerg-13520	343	24	for	for	ADP
fuelectenerg-13520	343	25	each	each	DET
fuelectenerg-13520	343	26	filter	filter	NOUN
fuelectenerg-13520	343	27	.	.	PUNCT
fuelectenerg-13520	344	1	the	the	DET
fuelectenerg-13520	344	2	main	main	ADJ
fuelectenerg-13520	344	3	difference	difference	NOUN
fuelectenerg-13520	344	4	lies	lie	VERB
fuelectenerg-13520	344	5	in	in	ADP
fuelectenerg-13520	344	6	their	their	PRON
fuelectenerg-13520	344	7	stopband	stopband	NOUN
fuelectenerg-13520	344	8	behavior	behavior	NOUN
fuelectenerg-13520	344	9	.	.	PUNCT
fuelectenerg-13520	345	1	10−1	10−1	NUM
fuelectenerg-13520	345	2	100	100	NUM
fuelectenerg-13520	345	3	normalized	normalize	VERB
fuelectenerg-13520	345	4	frequency	frequency	NOUN
fuelectenerg-13520	345	5	,	,	PUNCT
fuelectenerg-13520	345	6	ω	ω	PROPN
fuelectenerg-13520	345	7	0	0	NUM
fuelectenerg-13520	345	8	10	10	NUM
fuelectenerg-13520	345	9	20	20	NUM
fuelectenerg-13520	345	10	30	30	NUM
fuelectenerg-13520	345	11	40	40	NUM
fuelectenerg-13520	345	12	50	50	NUM
fuelectenerg-13520	345	13	60	60	NUM
fuelectenerg-13520	345	14	70	70	NUM
fuelectenerg-13520	345	15	s	s	NOUN
fuelectenerg-13520	345	16	to	to	ADP
fuelectenerg-13520	345	17	p	p	PROPN
fuelectenerg-13520	345	18	b	b	PROPN
fuelectenerg-13520	345	19	a	a	DET
fuelectenerg-13520	345	20	n	n	NOUN
fuelectenerg-13520	345	21	d	d	PROPN
fuelectenerg-13520	345	22	in	in	ADP
fuelectenerg-13520	345	23	se	se	PROPN
fuelectenerg-13520	345	24	rt	rt	PROPN
fuelectenerg-13520	345	25	io	io	PROPN
fuelectenerg-13520	346	1	n	n	PROPN
fuelectenerg-13520	347	1	lo	lo	PROPN
fuelectenerg-13520	347	2	ss	ss	INTJ
fuelectenerg-13520	347	3	,	,	PUNCT
fuelectenerg-13520	348	1	d	d	PROPN
fuelectenerg-13520	348	2	b	b	PROPN
fuelectenerg-13520	348	3	ωs	ωs	ADP
fuelectenerg-13520	348	4	0	0	NUM
fuelectenerg-13520	348	5	0.1	0.1	NUM
fuelectenerg-13520	348	6	0.2	0.2	NUM
fuelectenerg-13520	348	7	p	p	NOUN
fuelectenerg-13520	348	8	a	a	DET
fuelectenerg-13520	348	9	ss	ss	NOUN
fuelectenerg-13520	348	10	b	b	PROPN
fuelectenerg-13520	348	11	a	a	DET
fuelectenerg-13520	348	12	n	n	NOUN
fuelectenerg-13520	348	13	d	d	NOUN
fuelectenerg-13520	348	14	r	r	NOUN
fuelectenerg-13520	348	15	ip	ip	NOUN
fuelectenerg-13520	348	16	p	p	X
fuelectenerg-13520	348	17	le	le	X
fuelectenerg-13520	348	18	,	,	PUNCT
fuelectenerg-13520	348	19	d	d	PROPN
fuelectenerg-13520	348	20	b	b	X
fuelectenerg-13520	348	21	0	0	NUM
fuelectenerg-13520	348	22	10	10	NUM
fuelectenerg-13520	348	23	20	20	NUM
fuelectenerg-13520	348	24	30	30	NUM
fuelectenerg-13520	348	25	40	40	NUM
fuelectenerg-13520	348	26	g	g	NOUN
fuelectenerg-13520	348	27	ro	ro	NOUN
fuelectenerg-13520	348	28	u	u	NOUN
fuelectenerg-13520	348	29	p	p	PROPN
fuelectenerg-13520	348	30	d	d	PROPN
fuelectenerg-13520	348	31	el	el	PROPN
fuelectenerg-13520	348	32	a	a	PROPN
fuelectenerg-13520	348	33	y	y	PROPN
fuelectenerg-13520	348	34	,	,	PUNCT
fuelectenerg-13520	348	35	s	s	PART
fuelectenerg-13520	348	36	m	m	NOUN
fuelectenerg-13520	348	37	=	=	SYM
fuelectenerg-13520	348	38	3	3	NUM
fuelectenerg-13520	348	39	m	m	NOUN
fuelectenerg-13520	348	40	=	=	SYM
fuelectenerg-13520	348	41	2	2	NUM
fuelectenerg-13520	348	42	m	m	NOUN
fuelectenerg-13520	348	43	=	=	NOUN
fuelectenerg-13520	348	44	1	1	NUM
fuelectenerg-13520	348	45	m	m	NOUN
fuelectenerg-13520	348	46	=	=	SYM
fuelectenerg-13520	348	47	0	0	NUM
fuelectenerg-13520	348	48	fig	fig	NOUN
fuelectenerg-13520	348	49	.	.	PUNCT
fuelectenerg-13520	349	1	3	3	X
fuelectenerg-13520	349	2	.	.	X
fuelectenerg-13520	350	1	the	the	DET
fuelectenerg-13520	350	2	steady	steady	ADJ
fuelectenerg-13520	350	3	-	-	PUNCT
fuelectenerg-13520	350	4	state	state	NOUN
fuelectenerg-13520	350	5	responses	response	NOUN
fuelectenerg-13520	350	6	of	of	ADP
fuelectenerg-13520	350	7	the	the	DET
fuelectenerg-13520	350	8	7th	7th	ADJ
fuelectenerg-13520	350	9	-	-	PUNCT
fuelectenerg-13520	350	10	degree	degree	NOUN
fuelectenerg-13520	350	11	optimum	optimum	NOUN
fuelectenerg-13520	350	12	c	c	NOUN
fuelectenerg-13520	350	13	lowpass	lowpass	NOUN
fuelectenerg-13520	350	14	filters	filter	NOUN
fuelectenerg-13520	350	15	for	for	ADP
fuelectenerg-13520	350	16	m	m	PROPN
fuelectenerg-13520	350	17	=	=	SYM
fuelectenerg-13520	350	18	0	0	NUM
fuelectenerg-13520	350	19	,	,	PUNCT
fuelectenerg-13520	350	20	1	1	NUM
fuelectenerg-13520	350	21	,	,	PUNCT
fuelectenerg-13520	350	22	2	2	NUM
fuelectenerg-13520	350	23	,	,	PUNCT
fuelectenerg-13520	350	24	and	and	CCONJ
fuelectenerg-13520	350	25	3	3	X
fuelectenerg-13520	350	26	.	.	PUNCT
fuelectenerg-13520	351	1	the	the	DET
fuelectenerg-13520	351	2	stopband	stopband	NOUN
fuelectenerg-13520	351	3	edge	edge	NOUN
fuelectenerg-13520	351	4	frequencies	frequency	NOUN
fuelectenerg-13520	351	5	,	,	PUNCT
fuelectenerg-13520	351	6	ωs	ωs	PROPN
fuelectenerg-13520	351	7	,	,	PUNCT
fuelectenerg-13520	351	8	are	be	AUX
fuelectenerg-13520	351	9	defined	define	VERB
fuelectenerg-13520	351	10	as	as	ADP
fuelectenerg-13520	351	11	the	the	DET
fuelectenerg-13520	351	12	frequencies	frequency	NOUN
fuelectenerg-13520	351	13	where	where	SCONJ
fuelectenerg-13520	351	14	the	the	DET
fuelectenerg-13520	351	15	outof	outof	PROPN
fuelectenerg-13520	351	16	-	-	PUNCT
fuelectenerg-13520	351	17	band	band	NOUN
fuelectenerg-13520	351	18	attenuation	attenuation	NOUN
fuelectenerg-13520	351	19	first	first	ADV
fuelectenerg-13520	351	20	reaches	reach	VERB
fuelectenerg-13520	351	21	the	the	DET
fuelectenerg-13520	351	22	specified	specified	ADJ
fuelectenerg-13520	351	23	minimum	minimum	ADJ
fuelectenerg-13520	351	24	value	value	NOUN
fuelectenerg-13520	351	25	of	of	ADP
fuelectenerg-13520	351	26	ils	ils	X
fuelectenerg-13520	351	27	=	=	SYM
fuelectenerg-13520	351	28	50	50	NUM
fuelectenerg-13520	351	29	db	db	NOUN
fuelectenerg-13520	351	30	.	.	PUNCT
fuelectenerg-13520	352	1	these	these	DET
fuelectenerg-13520	352	2	values	value	NOUN
fuelectenerg-13520	352	3	are	be	AUX
fuelectenerg-13520	352	4	listed	list	VERB
fuelectenerg-13520	352	5	in	in	ADP
fuelectenerg-13520	352	6	table	table	NOUN
fuelectenerg-13520	352	7	2	2	NUM
fuelectenerg-13520	352	8	.	.	PUNCT
fuelectenerg-13520	353	1	in	in	ADP
fuelectenerg-13520	353	2	fig	fig	NOUN
fuelectenerg-13520	353	3	.	.	PUNCT
fuelectenerg-13520	354	1	3	3	NUM
fuelectenerg-13520	354	2	,	,	PUNCT
fuelectenerg-13520	354	3	the	the	DET
fuelectenerg-13520	354	4	stopband	stopband	NOUN
fuelectenerg-13520	354	5	edge	edge	NOUN
fuelectenerg-13520	354	6	frequency	frequency	NOUN
fuelectenerg-13520	354	7	is	be	AUX
fuelectenerg-13520	354	8	explicitly	explicitly	ADV
fuelectenerg-13520	354	9	assigned	assign	VERB
fuelectenerg-13520	354	10	only	only	ADV
fuelectenerg-13520	354	11	for	for	ADP
fuelectenerg-13520	354	12	m	m	PROPN
fuelectenerg-13520	354	13	=	=	SYM
fuelectenerg-13520	354	14	0	0	NUM
fuelectenerg-13520	354	15	,	,	PUNCT
fuelectenerg-13520	354	16	as	as	SCONJ
fuelectenerg-13520	354	17	it	it	PRON
fuelectenerg-13520	354	18	is	be	AUX
fuelectenerg-13520	354	19	easily	easily	ADV
fuelectenerg-13520	354	20	identifiable	identifiable	ADJ
fuelectenerg-13520	354	21	for	for	ADP
fuelectenerg-13520	354	22	the	the	DET
fuelectenerg-13520	354	23	other	other	ADJ
fuelectenerg-13520	354	24	three	three	NUM
fuelectenerg-13520	354	25	filters	filter	NOUN
fuelectenerg-13520	354	26	.	.	PUNCT
fuelectenerg-13520	355	1	it	it	PRON
fuelectenerg-13520	355	2	may	may	AUX
fuelectenerg-13520	355	3	be	be	AUX
fuelectenerg-13520	355	4	seen	see	VERB
fuelectenerg-13520	355	5	that	that	SCONJ
fuelectenerg-13520	355	6	all	all	DET
fuelectenerg-13520	355	7	rational	rational	ADJ
fuelectenerg-13520	355	8	optimum	optimum	NOUN
fuelectenerg-13520	355	9	c	c	NOUN
fuelectenerg-13520	355	10	filters	filter	NOUN
fuelectenerg-13520	355	11	have	have	VERB
fuelectenerg-13520	355	12	one	one	NUM
fuelectenerg-13520	355	13	attenuation	attenuation	NOUN
fuelectenerg-13520	355	14	lobe	lobe	VERB
fuelectenerg-13520	355	15	,	,	PUNCT
fuelectenerg-13520	355	16	each	each	PRON
fuelectenerg-13520	355	17	with	with	ADP
fuelectenerg-13520	355	18	a	a	DET
fuelectenerg-13520	355	19	level	level	NOUN
fuelectenerg-13520	355	20	of	of	ADP
fuelectenerg-13520	355	21	50	50	NUM
fuelectenerg-13520	355	22	db	db	NOUN
fuelectenerg-13520	355	23	,	,	PUNCT
fuelectenerg-13520	355	24	at	at	ADP
fuelectenerg-13520	355	25	frequencies	frequency	NOUN
fuelectenerg-13520	355	26	ω′	ω′	PROPN
fuelectenerg-13520	355	27	m	m	PROPN
fuelectenerg-13520	355	28	,	,	PUNCT
fuelectenerg-13520	355	29	which	which	PRON
fuelectenerg-13520	355	30	are	be	AUX
fuelectenerg-13520	355	31	listed	list	VERB
fuelectenerg-13520	355	32	in	in	ADP
fuelectenerg-13520	355	33	table	table	NOUN
fuelectenerg-13520	355	34	2	2	NUM
fuelectenerg-13520	355	35	.	.	PUNCT
fuelectenerg-13520	356	1	the	the	DET
fuelectenerg-13520	356	2	cutoff	cutoff	NOUN
fuelectenerg-13520	356	3	slope	slope	NOUN
fuelectenerg-13520	356	4	,	,	PUNCT
fuelectenerg-13520	356	5	commonly	commonly	ADV
fuelectenerg-13520	356	6	defined	define	VERB
fuelectenerg-13520	356	7	as	as	ADP
fuelectenerg-13520	356	8	the	the	DET
fuelectenerg-13520	356	9	first	first	ADJ
fuelectenerg-13520	356	10	derivative	derivative	NOUN
fuelectenerg-13520	356	11	of	of	ADP
fuelectenerg-13520	356	12	the	the	DET
fuelectenerg-13520	356	13	transmission	transmission	NOUN
fuelectenerg-13520	356	14	coefficient	coefficient	NOUN
fuelectenerg-13520	356	15	(	(	PUNCT
fuelectenerg-13520	356	16	1	1	NUM
fuelectenerg-13520	356	17	)	)	PUNCT
fuelectenerg-13520	356	18	at	at	ADP
fuelectenerg-13520	356	19	the	the	DET
fuelectenerg-13520	356	20	half	half	ADJ
fuelectenerg-13520	356	21	-	-	PUNCT
fuelectenerg-13520	356	22	power	power	NOUN
fuelectenerg-13520	356	23	point	point	NOUN
fuelectenerg-13520	356	24	,	,	PUNCT
fuelectenerg-13520	356	25	of	of	ADP
fuelectenerg-13520	356	26	rational	rational	ADJ
fuelectenerg-13520	356	27	optimum	optimum	NOUN
fuelectenerg-13520	356	28	c	c	NOUN
fuelectenerg-13520	356	29	filter	filter	NOUN
fuelectenerg-13520	356	30	can	can	AUX
fuelectenerg-13520	356	31	be	be	AUX
fuelectenerg-13520	356	32	calculated	calculate	VERB
fuelectenerg-13520	356	33	using	use	VERB
fuelectenerg-13520	356	34	the	the	DET
fuelectenerg-13520	356	35	first	first	ADJ
fuelectenerg-13520	356	36	derivative	derivative	NOUN
fuelectenerg-13520	356	37	of	of	ADP
fuelectenerg-13520	356	38	its	its	PRON
fuelectenerg-13520	356	39	characteristic	characteristic	ADJ
fuelectenerg-13520	356	40	function	function	NOUN
fuelectenerg-13520	356	41	as	as	ADP
fuelectenerg-13520	356	42	cs	cs	PROPN
fuelectenerg-13520	357	1	=	=	PROPN
fuelectenerg-13520	357	2	d	d	PROPN
fuelectenerg-13520	357	3	dω	dω	VERB
fuelectenerg-13520	357	4	|s21(jω)|	|s21(jω)|	PROPN
fuelectenerg-13520	357	5	∣∣∣∣	∣∣∣∣	NOUN
fuelectenerg-13520	357	6	ω=1	ω=1	SYM
fuelectenerg-13520	357	7	=	=	SYM
fuelectenerg-13520	357	8	−	−	PROPN
fuelectenerg-13520	358	1	1	1	NUM
fuelectenerg-13520	358	2	2	2	NUM
fuelectenerg-13520	358	3	√	√	NUM
fuelectenerg-13520	358	4	2	2	NUM
fuelectenerg-13520	358	5	d	d	NOUN
fuelectenerg-13520	358	6	dω	dω	ADP
fuelectenerg-13520	358	7	c(ε	c(ε	PROPN
fuelectenerg-13520	358	8	)	)	PUNCT
fuelectenerg-13520	358	9	n	n	CCONJ
fuelectenerg-13520	358	10	,	,	PUNCT
fuelectenerg-13520	358	11	m(ω	m(ω	PROPN
fuelectenerg-13520	358	12	)	)	PUNCT
fuelectenerg-13520	358	13	∣∣∣∣	∣∣∣∣	NOUN
fuelectenerg-13520	358	14	ω=1	ω=1	SYM
fuelectenerg-13520	358	15	(	(	PUNCT
fuelectenerg-13520	358	16	22	22	NUM
fuelectenerg-13520	358	17	)	)	PUNCT
fuelectenerg-13520	358	18	since	since	SCONJ
fuelectenerg-13520	358	19	c(ε	c(ε	PROPN
fuelectenerg-13520	358	20	)	)	PUNCT
fuelectenerg-13520	358	21	n	n	CCONJ
fuelectenerg-13520	358	22	,	,	PUNCT
fuelectenerg-13520	358	23	m(1	m(1	NOUN
fuelectenerg-13520	358	24	)	)	PUNCT
fuelectenerg-13520	358	25	=	=	SYM
fuelectenerg-13520	359	1	1	1	X
fuelectenerg-13520	359	2	.	.	PUNCT
fuelectenerg-13520	360	1	the	the	DET
fuelectenerg-13520	360	2	cutoff	cutoff	NOUN
fuelectenerg-13520	360	3	slopes	slope	NOUN
fuelectenerg-13520	360	4	of	of	ADP
fuelectenerg-13520	360	5	all	all	DET
fuelectenerg-13520	360	6	considered	consider	VERB
fuelectenerg-13520	360	7	7th	7th	ADJ
fuelectenerg-13520	360	8	-	-	PUNCT
fuelectenerg-13520	360	9	degree	degree	NOUN
fuelectenerg-13520	360	10	filters	filter	NOUN
fuelectenerg-13520	360	11	are	be	AUX
fuelectenerg-13520	360	12	provided	provide	VERB
fuelectenerg-13520	360	13	in	in	ADP
fuelectenerg-13520	360	14	table	table	NOUN
fuelectenerg-13520	360	15	2	2	NUM
fuelectenerg-13520	360	16	.	.	PUNCT
fuelectenerg-13520	360	17	increasing	increase	VERB
fuelectenerg-13520	360	18	the	the	DET
fuelectenerg-13520	360	19	multiplicity	multiplicity	NOUN
fuelectenerg-13520	360	20	of	of	ADP
fuelectenerg-13520	360	21	the	the	DET
fuelectenerg-13520	360	22	transmission	transmission	NOUN
fuelectenerg-13520	360	23	zero	zero	NUM
fuelectenerg-13520	360	24	results	result	NOUN
fuelectenerg-13520	360	25	in	in	ADP
fuelectenerg-13520	360	26	a	a	DET
fuelectenerg-13520	360	27	lower	low	ADJ
fuelectenerg-13520	360	28	stopband	stopband	NOUN
fuelectenerg-13520	360	29	edge	edge	NOUN
fuelectenerg-13520	360	30	frequency	frequency	NOUN
fuelectenerg-13520	360	31	and	and	CCONJ
fuelectenerg-13520	360	32	steeper	steep	ADJ
fuelectenerg-13520	360	33	cutoff	cutoff	NOUN
fuelectenerg-13520	360	34	slope	slope	NOUN
fuelectenerg-13520	360	35	.	.	PUNCT
fuelectenerg-13520	361	1	however	however	ADV
fuelectenerg-13520	361	2	,	,	PUNCT
fuelectenerg-13520	361	3	increasing	increase	VERB
fuelectenerg-13520	361	4	the	the	DET
fuelectenerg-13520	361	5	transmission	transmission	NOUN
fuelectenerg-13520	361	6	zero	zero	NUM
fuelectenerg-13520	361	7	multiplicity	multiplicity	NOUN
fuelectenerg-13520	361	8	beyond	beyond	ADP
fuelectenerg-13520	361	9	two	two	NUM
fuelectenerg-13520	361	10	is	be	AUX
fuelectenerg-13520	361	11	unnecessary	unnecessary	ADJ
fuelectenerg-13520	361	12	,	,	PUNCT
fuelectenerg-13520	361	13	as	as	SCONJ
fuelectenerg-13520	361	14	the	the	DET
fuelectenerg-13520	361	15	improvement	improvement	NOUN
fuelectenerg-13520	361	16	becomes	become	VERB
fuelectenerg-13520	361	17	negligible	negligible	ADJ
fuelectenerg-13520	361	18	.	.	PUNCT
fuelectenerg-13520	362	1	notably	notably	ADV
fuelectenerg-13520	362	2	,	,	PUNCT
fuelectenerg-13520	362	3	the	the	DET
fuelectenerg-13520	362	4	magnitude	magnitude	NOUN
fuelectenerg-13520	362	5	response	response	NOUN
fuelectenerg-13520	362	6	of	of	ADP
fuelectenerg-13520	362	7	the	the	DET
fuelectenerg-13520	362	8	filter	filter	NOUN
fuelectenerg-13520	362	9	with	with	ADP
fuelectenerg-13520	362	10	a	a	DET
fuelectenerg-13520	362	11	triple	triple	ADJ
fuelectenerg-13520	362	12	zero	zero	NUM
fuelectenerg-13520	362	13	pair	pair	NOUN
fuelectenerg-13520	362	14	exhibits	exhibit	VERB
fuelectenerg-13520	362	15	a	a	DET
fuelectenerg-13520	362	16	broad	broad	ADJ
fuelectenerg-13520	362	17	stopband	stopband	NOUN
fuelectenerg-13520	362	18	region	region	NOUN
fuelectenerg-13520	362	19	with	with	ADP
fuelectenerg-13520	362	20	extremely	extremely	ADV
fuelectenerg-13520	362	21	high	high	ADJ
fuelectenerg-13520	362	22	attenuation	attenuation	NOUN
fuelectenerg-13520	362	23	.	.	PUNCT
fuelectenerg-13520	363	1	all	all	DET
fuelectenerg-13520	363	2	group	group	NOUN
fuelectenerg-13520	363	3	delay	delay	NOUN
fuelectenerg-13520	363	4	responses	response	NOUN
fuelectenerg-13520	363	5	increase	increase	VERB
fuelectenerg-13520	363	6	monotonically	monotonically	ADV
fuelectenerg-13520	363	7	in	in	ADP
fuelectenerg-13520	363	8	the	the	DET
fuelectenerg-13520	363	9	passband	passband	NOUN
fuelectenerg-13520	363	10	.	.	PUNCT
fuelectenerg-13520	364	1	the	the	DET
fuelectenerg-13520	364	2	differences	difference	NOUN
fuelectenerg-13520	364	3	become	become	VERB
fuelectenerg-13520	364	4	evident	evident	ADJ
fuelectenerg-13520	364	5	only	only	ADV
fuelectenerg-13520	364	6	in	in	ADP
fuelectenerg-13520	364	7	the	the	DET
fuelectenerg-13520	364	8	peak	peak	NOUN
fuelectenerg-13520	364	9	value	value	NOUN
fuelectenerg-13520	364	10	near	near	ADP
fuelectenerg-13520	364	11	the	the	DET
fuelectenerg-13520	364	12	passband	passband	NOUN
fuelectenerg-13520	364	13	edge	edge	NOUN
fuelectenerg-13520	364	14	,	,	PUNCT
fuelectenerg-13520	364	15	which	which	PRON
fuelectenerg-13520	364	16	increases	increase	VERB
fuelectenerg-13520	364	17	as	as	ADP
fuelectenerg-13520	364	18	m	m	NOUN
fuelectenerg-13520	364	19	optimum	optimum	ADJ
fuelectenerg-13520	364	20	chebyshev	chebyshev	NOUN
fuelectenerg-13520	364	21	lowpass	lowpass	NOUN
fuelectenerg-13520	364	22	filter	filter	NOUN
fuelectenerg-13520	364	23	with	with	ADP
fuelectenerg-13520	364	24	a	a	DET
fuelectenerg-13520	364	25	pair	pair	NOUN
fuelectenerg-13520	364	26	of	of	ADP
fuelectenerg-13520	364	27	imaginary	imaginary	ADJ
fuelectenerg-13520	364	28	-	-	PUNCT
fuelectenerg-13520	364	29	axis	axis	NOUN
fuelectenerg-13520	364	30	zeros	zero	NOUN
fuelectenerg-13520	364	31	109	109	NUM
fuelectenerg-13520	364	32	increases	increase	NOUN
fuelectenerg-13520	364	33	.	.	PUNCT
fuelectenerg-13520	365	1	for	for	ADP
fuelectenerg-13520	365	2	m	m	PROPN
fuelectenerg-13520	365	3	=	=	SYM
fuelectenerg-13520	365	4	2	2	NUM
fuelectenerg-13520	365	5	and	and	CCONJ
fuelectenerg-13520	365	6	m	m	PROPN
fuelectenerg-13520	365	7	=	=	ADJ
fuelectenerg-13520	365	8	3	3	NUM
fuelectenerg-13520	365	9	,	,	PUNCT
fuelectenerg-13520	365	10	the	the	DET
fuelectenerg-13520	365	11	group	group	NOUN
fuelectenerg-13520	365	12	delays	delay	NOUN
fuelectenerg-13520	365	13	are	be	AUX
fuelectenerg-13520	365	14	nearly	nearly	ADV
fuelectenerg-13520	365	15	identical	identical	ADJ
fuelectenerg-13520	365	16	.	.	PUNCT
fuelectenerg-13520	366	1	the	the	DET
fuelectenerg-13520	366	2	peak	peak	NOUN
fuelectenerg-13520	366	3	group	group	NOUN
fuelectenerg-13520	366	4	delay	delay	NOUN
fuelectenerg-13520	366	5	values	value	NOUN
fuelectenerg-13520	366	6	,	,	PUNCT
fuelectenerg-13520	366	7	τm	τm	X
fuelectenerg-13520	366	8	,	,	PUNCT
fuelectenerg-13520	366	9	are	be	AUX
fuelectenerg-13520	366	10	calculated	calculate	VERB
fuelectenerg-13520	366	11	and	and	CCONJ
fuelectenerg-13520	366	12	listed	list	VERB
fuelectenerg-13520	366	13	in	in	ADP
fuelectenerg-13520	366	14	table	table	NOUN
fuelectenerg-13520	366	15	2	2	NUM
fuelectenerg-13520	366	16	.	.	PUNCT
fuelectenerg-13520	367	1	another	another	DET
fuelectenerg-13520	367	2	important	important	ADJ
fuelectenerg-13520	367	3	parameter	parameter	NOUN
fuelectenerg-13520	367	4	to	to	PART
fuelectenerg-13520	367	5	consider	consider	VERB
fuelectenerg-13520	367	6	is	be	AUX
fuelectenerg-13520	367	7	the	the	DET
fuelectenerg-13520	367	8	reflection	reflection	NOUN
fuelectenerg-13520	367	9	coefficient	coefficient	NOUN
fuelectenerg-13520	367	10	|s11(jω)|2	|s11(jω)|2	NOUN
fuelectenerg-13520	367	11	=	=	PUNCT
fuelectenerg-13520	367	12	[	[	PUNCT
fuelectenerg-13520	367	13	c(ε	c(ε	PROPN
fuelectenerg-13520	367	14	)	)	PUNCT
fuelectenerg-13520	367	15	n	n	CCONJ
fuelectenerg-13520	367	16	,	,	PUNCT
fuelectenerg-13520	367	17	m(ω	m(ω	PROPN
fuelectenerg-13520	367	18	)	)	PUNCT
fuelectenerg-13520	367	19	]	]	PUNCT
fuelectenerg-13520	367	20	2	2	NUM
fuelectenerg-13520	367	21	1	1	NUM
fuelectenerg-13520	367	22	+	+	CCONJ
fuelectenerg-13520	367	23	[	[	PUNCT
fuelectenerg-13520	367	24	c(ε	c(ε	PROPN
fuelectenerg-13520	367	25	)	)	PUNCT
fuelectenerg-13520	367	26	n	n	CCONJ
fuelectenerg-13520	367	27	,	,	PUNCT
fuelectenerg-13520	367	28	m(ω	m(ω	PROPN
fuelectenerg-13520	367	29	)	)	PUNCT
fuelectenerg-13520	367	30	]	]	PUNCT
fuelectenerg-13520	367	31	2	2	NUM
fuelectenerg-13520	367	32	(	(	PUNCT
fuelectenerg-13520	367	33	23	23	NUM
fuelectenerg-13520	367	34	)	)	PUNCT
fuelectenerg-13520	367	35	the	the	DET
fuelectenerg-13520	367	36	return	return	NOUN
fuelectenerg-13520	367	37	loss	loss	NOUN
fuelectenerg-13520	367	38	frequency	frequency	NOUN
fuelectenerg-13520	367	39	responses	response	NOUN
fuelectenerg-13520	367	40	in	in	ADP
fuelectenerg-13520	367	41	decibels	decibel	NOUN
fuelectenerg-13520	367	42	,	,	PUNCT
fuelectenerg-13520	367	43	rl	rl	ADP
fuelectenerg-13520	367	44	=	=	SYM
fuelectenerg-13520	367	45	20	20	NUM
fuelectenerg-13520	367	46	log10	log10	PROPN
fuelectenerg-13520	367	47	(	(	PUNCT
fuelectenerg-13520	367	48	|s11(jω)|	|s11(jω)|	PROPN
fuelectenerg-13520	367	49	)	)	PUNCT
fuelectenerg-13520	367	50	,	,	PUNCT
fuelectenerg-13520	367	51	of	of	ADP
fuelectenerg-13520	367	52	the	the	DET
fuelectenerg-13520	367	53	7thdegree	7thdegree	NUM
fuelectenerg-13520	367	54	optimum	optimum	NOUN
fuelectenerg-13520	367	55	c	c	NOUN
fuelectenerg-13520	367	56	filters	filter	VERB
fuelectenerg-13520	367	57	with	with	ADP
fuelectenerg-13520	367	58	for	for	ADP
fuelectenerg-13520	367	59	m	m	PROPN
fuelectenerg-13520	367	60	=	=	SYM
fuelectenerg-13520	367	61	0	0	NUM
fuelectenerg-13520	367	62	,	,	PUNCT
fuelectenerg-13520	367	63	1	1	NUM
fuelectenerg-13520	367	64	,	,	PUNCT
fuelectenerg-13520	367	65	2	2	NUM
fuelectenerg-13520	367	66	and	and	CCONJ
fuelectenerg-13520	367	67	3	3	NUM
fuelectenerg-13520	367	68	are	be	AUX
fuelectenerg-13520	367	69	shown	show	VERB
fuelectenerg-13520	367	70	in	in	ADP
fuelectenerg-13520	367	71	fig	fig	NOUN
fuelectenerg-13520	367	72	.	.	PUNCT
fuelectenerg-13520	368	1	4	4	X
fuelectenerg-13520	368	2	.	.	X
fuelectenerg-13520	368	3	the	the	DET
fuelectenerg-13520	368	4	return	return	NOUN
fuelectenerg-13520	368	5	loss	loss	NOUN
fuelectenerg-13520	368	6	levels	level	NOUN
fuelectenerg-13520	368	7	of	of	ADP
fuelectenerg-13520	368	8	all	all	DET
fuelectenerg-13520	368	9	filters	filter	NOUN
fuelectenerg-13520	368	10	are	be	AUX
fuelectenerg-13520	368	11	determined	determine	VERB
fuelectenerg-13520	368	12	with	with	ADP
fuelectenerg-13520	368	13	εo	εo	ADV
fuelectenerg-13520	368	14	and	and	CCONJ
fuelectenerg-13520	368	15	exhibit	exhibit	VERB
fuelectenerg-13520	368	16	the	the	DET
fuelectenerg-13520	368	17	equiripple	equiripple	NOUN
fuelectenerg-13520	368	18	behavior	behavior	NOUN
fuelectenerg-13520	368	19	.	.	PUNCT
fuelectenerg-13520	369	1	the	the	DET
fuelectenerg-13520	369	2	differences	difference	NOUN
fuelectenerg-13520	369	3	in	in	ADP
fuelectenerg-13520	369	4	the	the	DET
fuelectenerg-13520	369	5	spacing	spacing	NOUN
fuelectenerg-13520	369	6	of	of	ADP
fuelectenerg-13520	369	7	reflection	reflection	NOUN
fuelectenerg-13520	369	8	zeros	zero	NOUN
fuelectenerg-13520	369	9	among	among	ADP
fuelectenerg-13520	369	10	7th	7th	ADJ
fuelectenerg-13520	369	11	-	-	PUNCT
fuelectenerg-13520	369	12	degree	degree	NOUN
fuelectenerg-13520	369	13	optimum	optimum	NOUN
fuelectenerg-13520	369	14	c	c	NOUN
fuelectenerg-13520	369	15	filters	filter	NOUN
fuelectenerg-13520	369	16	are	be	AUX
fuelectenerg-13520	369	17	sufficient	sufficient	ADJ
fuelectenerg-13520	369	18	for	for	ADP
fuelectenerg-13520	369	19	functional	functional	ADJ
fuelectenerg-13520	369	20	tuning	tuning	NOUN
fuelectenerg-13520	369	21	.	.	PUNCT
fuelectenerg-13520	370	1	however	however	ADV
fuelectenerg-13520	370	2	,	,	PUNCT
fuelectenerg-13520	370	3	the	the	DET
fuelectenerg-13520	370	4	optimum	optimum	ADJ
fuelectenerg-13520	370	5	all	all	DET
fuelectenerg-13520	370	6	-	-	PUNCT
fuelectenerg-13520	370	7	pole	pole	NOUN
fuelectenerg-13520	370	8	c	c	NOUN
fuelectenerg-13520	370	9	filter	filter	NOUN
fuelectenerg-13520	370	10	has	have	VERB
fuelectenerg-13520	370	11	the	the	DET
fuelectenerg-13520	370	12	widest	wide	ADJ
fuelectenerg-13520	370	13	separation	separation	NOUN
fuelectenerg-13520	370	14	,	,	PUNCT
fuelectenerg-13520	370	15	while	while	SCONJ
fuelectenerg-13520	370	16	for	for	ADP
fuelectenerg-13520	370	17	the	the	DET
fuelectenerg-13520	370	18	rational	rational	ADJ
fuelectenerg-13520	370	19	optimum	optimum	NOUN
fuelectenerg-13520	370	20	c	c	NOUN
fuelectenerg-13520	370	21	filters	filter	NOUN
fuelectenerg-13520	370	22	,	,	PUNCT
fuelectenerg-13520	370	23	this	this	DET
fuelectenerg-13520	370	24	separation	separation	NOUN
fuelectenerg-13520	370	25	slightly	slightly	ADV
fuelectenerg-13520	370	26	decreases	decrease	VERB
fuelectenerg-13520	370	27	as	as	ADP
fuelectenerg-13520	370	28	m	m	NOUN
fuelectenerg-13520	370	29	increases	increase	NOUN
fuelectenerg-13520	370	30	.	.	PUNCT
fuelectenerg-13520	371	1	additionally	additionally	ADV
fuelectenerg-13520	371	2	,	,	PUNCT
fuelectenerg-13520	371	3	as	as	ADP
fuelectenerg-13520	371	4	the	the	DET
fuelectenerg-13520	371	5	filter	filter	NOUN
fuelectenerg-13520	371	6	degree	degree	NOUN
fuelectenerg-13520	371	7	increases	increase	NOUN
fuelectenerg-13520	371	8	,	,	PUNCT
fuelectenerg-13520	371	9	the	the	DET
fuelectenerg-13520	371	10	zero	zero	NUM
fuelectenerg-13520	371	11	separation	separation	NOUN
fuelectenerg-13520	371	12	decreases	decrease	VERB
fuelectenerg-13520	371	13	.	.	PUNCT
fuelectenerg-13520	372	1	10−1	10−1	NUM
fuelectenerg-13520	372	2	100	100	NUM
fuelectenerg-13520	372	3	normalized	normalize	VERB
fuelectenerg-13520	372	4	frequency	frequency	NOUN
fuelectenerg-13520	372	5	,	,	PUNCT
fuelectenerg-13520	372	6	ω	ω	PROPN
fuelectenerg-13520	372	7	-40	-40	PROPN
fuelectenerg-13520	372	8	-35	-35	PROPN
fuelectenerg-13520	372	9	-30	-30	NUM
fuelectenerg-13520	372	10	-25	-25	PROPN
fuelectenerg-13520	372	11	-20	-20	NUM
fuelectenerg-13520	372	12	-15	-15	PUNCT
fuelectenerg-13520	372	13	-10	-10	PUNCT
fuelectenerg-13520	373	1	-5	-5	NOUN
fuelectenerg-13520	373	2	0	0	NUM
fuelectenerg-13520	374	1	r	r	NOUN
fuelectenerg-13520	374	2	et	et	NOUN
fuelectenerg-13520	374	3	u	u	NOUN
fuelectenerg-13520	374	4	rn	rn	PROPN
fuelectenerg-13520	374	5	lo	lo	PROPN
fuelectenerg-13520	374	6	ss	ss	INTJ
fuelectenerg-13520	374	7	,	,	PUNCT
fuelectenerg-13520	375	1	d	d	PROPN
fuelectenerg-13520	375	2	b	b	X
fuelectenerg-13520	375	3	m	m	NOUN
fuelectenerg-13520	375	4	=	=	SYM
fuelectenerg-13520	375	5	3	3	NUM
fuelectenerg-13520	375	6	m	m	NOUN
fuelectenerg-13520	375	7	=	=	SYM
fuelectenerg-13520	375	8	2	2	NUM
fuelectenerg-13520	375	9	m	m	NOUN
fuelectenerg-13520	375	10	=	=	NOUN
fuelectenerg-13520	375	11	1	1	NUM
fuelectenerg-13520	375	12	m	m	NOUN
fuelectenerg-13520	375	13	=	=	SYM
fuelectenerg-13520	375	14	0	0	NUM
fuelectenerg-13520	375	15	fig	fig	NOUN
fuelectenerg-13520	375	16	.	.	PUNCT
fuelectenerg-13520	376	1	4	4	X
fuelectenerg-13520	376	2	.	.	X
fuelectenerg-13520	376	3	the	the	DET
fuelectenerg-13520	376	4	return	return	NOUN
fuelectenerg-13520	376	5	loss	loss	NOUN
fuelectenerg-13520	376	6	responses	response	NOUN
fuelectenerg-13520	376	7	of	of	ADP
fuelectenerg-13520	376	8	the	the	DET
fuelectenerg-13520	376	9	7th	7th	ADJ
fuelectenerg-13520	376	10	-	-	PUNCT
fuelectenerg-13520	376	11	degree	degree	NOUN
fuelectenerg-13520	376	12	optimum	optimum	NOUN
fuelectenerg-13520	376	13	c	c	NOUN
fuelectenerg-13520	376	14	lowpass	lowpass	NOUN
fuelectenerg-13520	376	15	filters	filter	NOUN
fuelectenerg-13520	376	16	for	for	ADP
fuelectenerg-13520	376	17	m	m	PROPN
fuelectenerg-13520	376	18	=	=	SYM
fuelectenerg-13520	376	19	0	0	NUM
fuelectenerg-13520	376	20	,	,	PUNCT
fuelectenerg-13520	376	21	1	1	NUM
fuelectenerg-13520	376	22	,	,	PUNCT
fuelectenerg-13520	376	23	2	2	NUM
fuelectenerg-13520	376	24	,	,	PUNCT
fuelectenerg-13520	376	25	and	and	CCONJ
fuelectenerg-13520	376	26	3	3	X
fuelectenerg-13520	376	27	.	.	NOUN
fuelectenerg-13520	376	28	table	table	NOUN
fuelectenerg-13520	376	29	2	2	NUM
fuelectenerg-13520	376	30	.	.	PUNCT
fuelectenerg-13520	377	1	properties	property	NOUN
fuelectenerg-13520	377	2	of	of	ADP
fuelectenerg-13520	377	3	7th	7th	ADJ
fuelectenerg-13520	377	4	-	-	PUNCT
fuelectenerg-13520	377	5	degree	degree	NOUN
fuelectenerg-13520	377	6	optimum	optimum	NOUN
fuelectenerg-13520	377	7	c	c	NOUN
fuelectenerg-13520	377	8	filters	filter	VERB
fuelectenerg-13520	377	9	properties	property	NOUN
fuelectenerg-13520	377	10	filters	filter	VERB
fuelectenerg-13520	377	11	m	m	VERB
fuelectenerg-13520	377	12	=	=	NOUN
fuelectenerg-13520	377	13	0	0	NUM
fuelectenerg-13520	378	1	m	m	VERB
fuelectenerg-13520	379	1	=	=	NOUN
fuelectenerg-13520	380	1	1	1	NUM
fuelectenerg-13520	380	2	m	m	NOUN
fuelectenerg-13520	380	3	=	=	SYM
fuelectenerg-13520	380	4	2	2	NUM
fuelectenerg-13520	380	5	m	m	NOUN
fuelectenerg-13520	380	6	=	=	NOUN
fuelectenerg-13520	380	7	3	3	NUM
fuelectenerg-13520	380	8	ω0	ω0	ADV
fuelectenerg-13520	380	9	=	=	SYM
fuelectenerg-13520	380	10	χ	χ	X
fuelectenerg-13520	380	11	/	/	SYM
fuelectenerg-13520	380	12	λ	λ	PROPN
fuelectenerg-13520	380	13	∞	∞	NOUN
fuelectenerg-13520	380	14	1.392187	1.392187	NUM
fuelectenerg-13520	380	15	1.370401	1.370401	NUM
fuelectenerg-13520	380	16	1.519427	1.519427	NUM
fuelectenerg-13520	380	17	ω′	ω′	NUM
fuelectenerg-13520	380	18	m	m	NOUN
fuelectenerg-13520	380	19	=	=	SYM
fuelectenerg-13520	380	20	ωm	ωm	NOUN
fuelectenerg-13520	380	21	/	/	SYM
fuelectenerg-13520	380	22	λ	λ	X
fuelectenerg-13520	380	23	none	none	NOUN
fuelectenerg-13520	380	24	1.586262	1.586262	NUM
fuelectenerg-13520	380	25	1.922885	1.922885	NUM
fuelectenerg-13520	380	26	3.628922	3.628922	NUM
fuelectenerg-13520	380	27	ωr	ωr	NOUN
fuelectenerg-13520	380	28	=	=	SYM
fuelectenerg-13520	380	29	1	1	NUM
fuelectenerg-13520	380	30	/	/	SYM
fuelectenerg-13520	380	31	λ	λ	NOUN
fuelectenerg-13520	380	32	0.911472	0.911472	NUM
fuelectenerg-13520	380	33	0.927748	0.927748	NUM
fuelectenerg-13520	380	34	0.941498	0.941498	NUM
fuelectenerg-13520	380	35	0.943132	0.943132	NUM
fuelectenerg-13520	380	36	qc	qc	PROPN
fuelectenerg-13520	380	37	5.3421	5.3421	NUM
fuelectenerg-13520	380	38	6.6824	6.6824	NUM
fuelectenerg-13520	380	39	8.3906	8.3906	NUM
fuelectenerg-13520	380	40	8.6179	8.6179	NUM
fuelectenerg-13520	380	41	ωs	ωs	ADP
fuelectenerg-13520	380	42	1.7358	1.7358	NUM
fuelectenerg-13520	380	43	1.3457	1.3457	NUM
fuelectenerg-13520	380	44	1.2674	1.2674	NUM
fuelectenerg-13520	380	45	1.2892	1.2892	NUM
fuelectenerg-13520	380	46	cs	cs	PROPN
fuelectenerg-13520	380	47	16.94209	16.94209	NUM
fuelectenerg-13520	380	48	21.55732	21.55732	NUM
fuelectenerg-13520	380	49	27.22896	27.22896	NUM
fuelectenerg-13520	380	50	27.85117	27.85117	NUM
fuelectenerg-13520	380	51	τm	τm	ADP
fuelectenerg-13520	380	52	14.9337	14.9337	NUM
fuelectenerg-13520	380	53	18.1713	18.1713	NUM
fuelectenerg-13520	380	54	22.4434	22.4434	NUM
fuelectenerg-13520	380	55	23.1394	23.1394	NUM
fuelectenerg-13520	380	56	50	50	NUM
fuelectenerg-13520	380	57	n.	n.	NOUN
fuelectenerg-13520	380	58	stojanović	stojanović	PROPN
fuelectenerg-13520	380	59	,	,	PUNCT
fuelectenerg-13520	380	60	i.	i.	PROPN
fuelectenerg-13520	380	61	krstić	krstić	PROPN
fuelectenerg-13520	380	62	,	,	PUNCT
fuelectenerg-13520	380	63	n.	n.	PROPN
fuelectenerg-13520	380	64	stamenković	stamenković	VERB
fuelectenerg-13520	380	65	optimum	optimum	PROPN
fuelectenerg-13520	380	66	chebyshev	chebyshev	PROPN
fuelectenerg-13520	380	67	lowpass	lowpass	NOUN
fuelectenerg-13520	380	68	filter	filter	NOUN
fuelectenerg-13520	380	69	with	with	ADP
fuelectenerg-13520	380	70	a	a	DET
fuelectenerg-13520	380	71	pair	pair	NOUN
fuelectenerg-13520	380	72	of	of	ADP
fuelectenerg-13520	380	73	imaginary	imaginary	ADJ
fuelectenerg-13520	380	74	-	-	PUNCT
fuelectenerg-13520	380	75	axis	axis	NOUN
fuelectenerg-13520	380	76	zeros	zero	NOUN
fuelectenerg-13520	380	77	51	51	NUM
fuelectenerg-13520	380	78	110	110	NUM
fuelectenerg-13520	380	79	n.	n.	NOUN
fuelectenerg-13520	380	80	stojanović	stojanović	PROPN
fuelectenerg-13520	380	81	,	,	PUNCT
fuelectenerg-13520	380	82	i.	i.	PROPN
fuelectenerg-13520	380	83	krstić	krstić	PROPN
fuelectenerg-13520	380	84	,	,	PUNCT
fuelectenerg-13520	380	85	n.	n.	PROPN
fuelectenerg-13520	380	86	stamenković	stamenković	VERB
fuelectenerg-13520	380	87	the	the	DET
fuelectenerg-13520	380	88	magnitude	magnitude	NOUN
fuelectenerg-13520	380	89	correction	correction	NOUN
fuelectenerg-13520	380	90	of	of	ADP
fuelectenerg-13520	380	91	the	the	DET
fuelectenerg-13520	380	92	transmission	transmission	NOUN
fuelectenerg-13520	380	93	coefficient	coefficient	NOUN
fuelectenerg-13520	380	94	can	can	AUX
fuelectenerg-13520	380	95	be	be	AUX
fuelectenerg-13520	380	96	applied	apply	VERB
fuelectenerg-13520	380	97	to	to	ADP
fuelectenerg-13520	380	98	both	both	PRON
fuelectenerg-13520	380	99	oddand	oddand	NOUN
fuelectenerg-13520	380	100	even	even	ADV
fuelectenerg-13520	380	101	-	-	PUNCT
fuelectenerg-13520	380	102	degree	degree	NOUN
fuelectenerg-13520	380	103	filters	filter	NOUN
fuelectenerg-13520	380	104	.	.	PUNCT
fuelectenerg-13520	381	1	introducing	introduce	VERB
fuelectenerg-13520	381	2	a	a	DET
fuelectenerg-13520	381	3	single	single	ADJ
fuelectenerg-13520	381	4	transmission	transmission	NOUN
fuelectenerg-13520	381	5	zero	zero	NUM
fuelectenerg-13520	381	6	significantly	significantly	ADV
fuelectenerg-13520	381	7	enhances	enhance	VERB
fuelectenerg-13520	381	8	the	the	DET
fuelectenerg-13520	381	9	out	out	ADV
fuelectenerg-13520	381	10	-	-	PUNCT
fuelectenerg-13520	381	11	of	of	ADP
fuelectenerg-13520	381	12	-	-	PUNCT
fuelectenerg-13520	381	13	band	band	NOUN
fuelectenerg-13520	381	14	rejection	rejection	NOUN
fuelectenerg-13520	381	15	of	of	ADP
fuelectenerg-13520	381	16	the	the	DET
fuelectenerg-13520	381	17	all	all	DET
fuelectenerg-13520	381	18	-	-	PUNCT
fuelectenerg-13520	381	19	pole	pole	NOUN
fuelectenerg-13520	381	20	filter	filter	NOUN
fuelectenerg-13520	381	21	by	by	ADP
fuelectenerg-13520	381	22	steepening	steepen	VERB
fuelectenerg-13520	381	23	the	the	DET
fuelectenerg-13520	381	24	cutoff	cutoff	NOUN
fuelectenerg-13520	381	25	slope	slope	NOUN
fuelectenerg-13520	381	26	and	and	CCONJ
fuelectenerg-13520	381	27	lowering	lower	VERB
fuelectenerg-13520	381	28	the	the	DET
fuelectenerg-13520	381	29	stopband	stopband	NOUN
fuelectenerg-13520	381	30	edge	edge	NOUN
fuelectenerg-13520	381	31	frequency	frequency	NOUN
fuelectenerg-13520	381	32	.	.	PUNCT
fuelectenerg-13520	382	1	while	while	SCONJ
fuelectenerg-13520	382	2	increasing	increase	VERB
fuelectenerg-13520	382	3	the	the	DET
fuelectenerg-13520	382	4	multiplicity	multiplicity	NOUN
fuelectenerg-13520	382	5	of	of	ADP
fuelectenerg-13520	382	6	the	the	DET
fuelectenerg-13520	382	7	transmission	transmission	NOUN
fuelectenerg-13520	382	8	zero	zero	NUM
fuelectenerg-13520	382	9	provides	provide	VERB
fuelectenerg-13520	382	10	a	a	DET
fuelectenerg-13520	382	11	slight	slight	ADJ
fuelectenerg-13520	382	12	improvement	improvement	NOUN
fuelectenerg-13520	382	13	in	in	ADP
fuelectenerg-13520	382	14	the	the	DET
fuelectenerg-13520	382	15	cutoff	cutoff	NOUN
fuelectenerg-13520	382	16	slope	slope	NOUN
fuelectenerg-13520	382	17	,	,	PUNCT
fuelectenerg-13520	382	18	extending	extend	VERB
fuelectenerg-13520	382	19	it	it	PRON
fuelectenerg-13520	382	20	beyond	beyond	ADP
fuelectenerg-13520	382	21	two	two	NUM
fuelectenerg-13520	382	22	is	be	AUX
fuelectenerg-13520	382	23	unnecessary	unnecessary	ADJ
fuelectenerg-13520	382	24	,	,	PUNCT
fuelectenerg-13520	382	25	as	as	SCONJ
fuelectenerg-13520	382	26	it	it	PRON
fuelectenerg-13520	382	27	leads	lead	VERB
fuelectenerg-13520	382	28	to	to	ADP
fuelectenerg-13520	382	29	higher	high	ADJ
fuelectenerg-13520	382	30	sensitivity	sensitivity	NOUN
fuelectenerg-13520	382	31	and	and	CCONJ
fuelectenerg-13520	382	32	increased	increase	VERB
fuelectenerg-13520	382	33	network	network	NOUN
fuelectenerg-13520	382	34	complexity	complexity	NOUN
fuelectenerg-13520	382	35	.	.	PUNCT
fuelectenerg-13520	383	1	however	however	ADV
fuelectenerg-13520	383	2	,	,	PUNCT
fuelectenerg-13520	383	3	a	a	DET
fuelectenerg-13520	383	4	triple	triple	ADJ
fuelectenerg-13520	383	5	-	-	PUNCT
fuelectenerg-13520	383	6	zero	zero	NUM
fuelectenerg-13520	383	7	pair	pair	NOUN
fuelectenerg-13520	383	8	results	result	NOUN
fuelectenerg-13520	383	9	in	in	ADP
fuelectenerg-13520	383	10	a	a	DET
fuelectenerg-13520	383	11	magnitude	magnitude	NOUN
fuelectenerg-13520	383	12	response	response	NOUN
fuelectenerg-13520	383	13	with	with	ADP
fuelectenerg-13520	383	14	a	a	DET
fuelectenerg-13520	383	15	wide	wide	ADJ
fuelectenerg-13520	383	16	stopband	stopband	NOUN
fuelectenerg-13520	383	17	region	region	NOUN
fuelectenerg-13520	383	18	and	and	CCONJ
fuelectenerg-13520	383	19	extremely	extremely	ADV
fuelectenerg-13520	383	20	high	high	ADJ
fuelectenerg-13520	383	21	attenuation	attenuation	NOUN
fuelectenerg-13520	383	22	in	in	ADP
fuelectenerg-13520	383	23	the	the	DET
fuelectenerg-13520	383	24	frequency	frequency	NOUN
fuelectenerg-13520	383	25	band	band	NOUN
fuelectenerg-13520	383	26	around	around	ADP
fuelectenerg-13520	383	27	the	the	DET
fuelectenerg-13520	383	28	transmission	transmission	NOUN
fuelectenerg-13520	383	29	zero	zero	NUM
fuelectenerg-13520	383	30	.	.	PUNCT
fuelectenerg-13520	384	1	4	4	X
fuelectenerg-13520	384	2	.	.	X
fuelectenerg-13520	384	3	conclusion	conclusion	NOUN
fuelectenerg-13520	384	4	this	this	DET
fuelectenerg-13520	384	5	paper	paper	NOUN
fuelectenerg-13520	384	6	presents	present	VERB
fuelectenerg-13520	384	7	an	an	DET
fuelectenerg-13520	384	8	efficient	efficient	ADJ
fuelectenerg-13520	384	9	and	and	CCONJ
fuelectenerg-13520	384	10	straightforward	straightforward	ADJ
fuelectenerg-13520	384	11	procedure	procedure	NOUN
fuelectenerg-13520	384	12	for	for	ADP
fuelectenerg-13520	384	13	correcting	correct	VERB
fuelectenerg-13520	384	14	the	the	DET
fuelectenerg-13520	384	15	magnitude	magnitude	NOUN
fuelectenerg-13520	384	16	function	function	NOUN
fuelectenerg-13520	384	17	in	in	ADP
fuelectenerg-13520	384	18	optimal	optimal	ADJ
fuelectenerg-13520	384	19	c	c	NOUN
fuelectenerg-13520	384	20	filters	filter	NOUN
fuelectenerg-13520	384	21	,	,	PUNCT
fuelectenerg-13520	384	22	specifically	specifically	ADV
fuelectenerg-13520	384	23	designed	design	VERB
fuelectenerg-13520	384	24	for	for	ADP
fuelectenerg-13520	384	25	low	low	ADJ
fuelectenerg-13520	384	26	-	-	PUNCT
fuelectenerg-13520	384	27	pass	pass	NOUN
fuelectenerg-13520	384	28	filters	filter	NOUN
fuelectenerg-13520	384	29	that	that	PRON
fuelectenerg-13520	384	30	prioritize	prioritize	VERB
fuelectenerg-13520	384	31	magnitude	magnitude	NOUN
fuelectenerg-13520	384	32	specifications	specification	NOUN
fuelectenerg-13520	384	33	.	.	PUNCT
fuelectenerg-13520	385	1	the	the	DET
fuelectenerg-13520	385	2	chebyshev	chebyshev	NOUN
fuelectenerg-13520	385	3	filtering	filtering	NOUN
fuelectenerg-13520	385	4	function	function	NOUN
fuelectenerg-13520	385	5	is	be	AUX
fuelectenerg-13520	385	6	modified	modify	VERB
fuelectenerg-13520	385	7	by	by	ADP
fuelectenerg-13520	385	8	introducing	introduce	VERB
fuelectenerg-13520	385	9	a	a	DET
fuelectenerg-13520	385	10	symmetric	symmetric	ADJ
fuelectenerg-13520	385	11	pair	pair	NOUN
fuelectenerg-13520	385	12	of	of	ADP
fuelectenerg-13520	385	13	poles	pole	NOUN
fuelectenerg-13520	385	14	of	of	ADP
fuelectenerg-13520	385	15	arbitrary	arbitrary	ADJ
fuelectenerg-13520	385	16	multiplicity	multiplicity	NOUN
fuelectenerg-13520	385	17	into	into	ADP
fuelectenerg-13520	385	18	its	its	PRON
fuelectenerg-13520	385	19	transcendental	transcendental	ADJ
fuelectenerg-13520	385	20	form	form	NOUN
fuelectenerg-13520	385	21	,	,	PUNCT
fuelectenerg-13520	385	22	preserving	preserve	VERB
fuelectenerg-13520	385	23	the	the	DET
fuelectenerg-13520	385	24	extremal	extremal	ADJ
fuelectenerg-13520	385	25	properties	property	NOUN
fuelectenerg-13520	385	26	of	of	ADP
fuelectenerg-13520	385	27	the	the	DET
fuelectenerg-13520	385	28	passband	passband	NOUN
fuelectenerg-13520	385	29	’s	’s	PART
fuelectenerg-13520	385	30	equal	equal	ADJ
fuelectenerg-13520	385	31	-	-	PUNCT
fuelectenerg-13520	385	32	ripple	ripple	ADJ
fuelectenerg-13520	385	33	behavior	behavior	NOUN
fuelectenerg-13520	385	34	.	.	PUNCT
fuelectenerg-13520	386	1	a	a	DET
fuelectenerg-13520	386	2	new	new	ADJ
fuelectenerg-13520	386	3	and	and	CCONJ
fuelectenerg-13520	386	4	efficient	efficient	ADJ
fuelectenerg-13520	386	5	method	method	NOUN
fuelectenerg-13520	386	6	is	be	AUX
fuelectenerg-13520	386	7	proposed	propose	VERB
fuelectenerg-13520	386	8	for	for	ADP
fuelectenerg-13520	386	9	deriving	derive	VERB
fuelectenerg-13520	386	10	a	a	DET
fuelectenerg-13520	386	11	rational	rational	ADJ
fuelectenerg-13520	386	12	polynomial	polynomial	NOUN
fuelectenerg-13520	386	13	from	from	ADP
fuelectenerg-13520	386	14	the	the	DET
fuelectenerg-13520	386	15	transcendental	transcendental	ADJ
fuelectenerg-13520	386	16	form	form	NOUN
fuelectenerg-13520	386	17	of	of	ADP
fuelectenerg-13520	386	18	the	the	DET
fuelectenerg-13520	386	19	optimum	optimum	ADJ
fuelectenerg-13520	386	20	c	c	NOUN
fuelectenerg-13520	386	21	filtering	filtering	NOUN
fuelectenerg-13520	386	22	function	function	NOUN
fuelectenerg-13520	386	23	that	that	PRON
fuelectenerg-13520	386	24	exhibits	exhibit	VERB
fuelectenerg-13520	386	25	a	a	DET
fuelectenerg-13520	386	26	transmission	transmission	NOUN
fuelectenerg-13520	386	27	zero	zero	NUM
fuelectenerg-13520	386	28	pair	pair	NOUN
fuelectenerg-13520	386	29	,	,	PUNCT
fuelectenerg-13520	386	30	single	single	ADJ
fuelectenerg-13520	386	31	or	or	CCONJ
fuelectenerg-13520	386	32	multiple	multiple	ADJ
fuelectenerg-13520	386	33	,	,	PUNCT
fuelectenerg-13520	386	34	at	at	ADP
fuelectenerg-13520	386	35	a	a	DET
fuelectenerg-13520	386	36	finite	finite	ADJ
fuelectenerg-13520	386	37	frequency	frequency	NOUN
fuelectenerg-13520	386	38	.	.	PUNCT
fuelectenerg-13520	387	1	as	as	ADP
fuelectenerg-13520	387	2	an	an	DET
fuelectenerg-13520	387	3	example	example	NOUN
fuelectenerg-13520	387	4	,	,	PUNCT
fuelectenerg-13520	387	5	the	the	DET
fuelectenerg-13520	387	6	derivation	derivation	NOUN
fuelectenerg-13520	387	7	of	of	ADP
fuelectenerg-13520	387	8	a	a	DET
fuelectenerg-13520	387	9	7th	7th	ADJ
fuelectenerg-13520	387	10	-	-	PUNCT
fuelectenerg-13520	387	11	degree	degree	NOUN
fuelectenerg-13520	387	12	rational	rational	ADJ
fuelectenerg-13520	387	13	polynomial	polynomial	NOUN
fuelectenerg-13520	387	14	from	from	ADP
fuelectenerg-13520	387	15	the	the	DET
fuelectenerg-13520	387	16	transcendental	transcendental	ADJ
fuelectenerg-13520	387	17	optimum	optimum	ADJ
fuelectenerg-13520	387	18	chebyshev	chebyshev	NOUN
fuelectenerg-13520	387	19	filtering	filtering	NOUN
fuelectenerg-13520	387	20	function	function	NOUN
fuelectenerg-13520	387	21	is	be	AUX
fuelectenerg-13520	387	22	demonstrated	demonstrate	VERB
fuelectenerg-13520	387	23	for	for	ADP
fuelectenerg-13520	387	24	cases	case	NOUN
fuelectenerg-13520	387	25	of	of	ADP
fuelectenerg-13520	387	26	single	single	ADJ
fuelectenerg-13520	387	27	,	,	PUNCT
fuelectenerg-13520	387	28	double	double	ADJ
fuelectenerg-13520	387	29	,	,	PUNCT
fuelectenerg-13520	387	30	and	and	CCONJ
fuelectenerg-13520	387	31	triple	triple	ADJ
fuelectenerg-13520	387	32	pole	pole	NOUN
fuelectenerg-13520	387	33	pairs	pair	NOUN
fuelectenerg-13520	387	34	.	.	PUNCT
fuelectenerg-13520	388	1	the	the	DET
fuelectenerg-13520	388	2	proposed	propose	VERB
fuelectenerg-13520	388	3	approach	approach	NOUN
fuelectenerg-13520	388	4	enhances	enhance	VERB
fuelectenerg-13520	388	5	the	the	DET
fuelectenerg-13520	388	6	cutoff	cutoff	NOUN
fuelectenerg-13520	388	7	slope	slope	NOUN
fuelectenerg-13520	388	8	and	and	CCONJ
fuelectenerg-13520	388	9	slightly	slightly	ADV
fuelectenerg-13520	388	10	reduces	reduce	VERB
fuelectenerg-13520	388	11	reflection	reflection	NOUN
fuelectenerg-13520	388	12	power	power	NOUN
fuelectenerg-13520	388	13	at	at	ADP
fuelectenerg-13520	388	14	the	the	DET
fuelectenerg-13520	388	15	filter	filter	NOUN
fuelectenerg-13520	388	16	’s	’s	PART
fuelectenerg-13520	388	17	input	input	NOUN
fuelectenerg-13520	388	18	terminals	terminal	NOUN
fuelectenerg-13520	388	19	compared	compare	VERB
fuelectenerg-13520	388	20	to	to	ADP
fuelectenerg-13520	388	21	the	the	DET
fuelectenerg-13520	388	22	optimum	optimum	ADJ
fuelectenerg-13520	388	23	c	c	NOUN
fuelectenerg-13520	388	24	all	all	PRON
fuelectenerg-13520	388	25	-	-	PUNCT
fuelectenerg-13520	388	26	pole	pole	NOUN
fuelectenerg-13520	388	27	filter	filter	NOUN
fuelectenerg-13520	388	28	.	.	PUNCT
fuelectenerg-13520	389	1	however	however	ADV
fuelectenerg-13520	389	2	,	,	PUNCT
fuelectenerg-13520	389	3	a	a	DET
fuelectenerg-13520	389	4	single	single	ADJ
fuelectenerg-13520	389	5	or	or	CCONJ
fuelectenerg-13520	389	6	double	double	ADJ
fuelectenerg-13520	389	7	transmission	transmission	NOUN
fuelectenerg-13520	389	8	pole	pole	NOUN
fuelectenerg-13520	389	9	pair	pair	NOUN
fuelectenerg-13520	389	10	is	be	AUX
fuelectenerg-13520	389	11	generally	generally	ADV
fuelectenerg-13520	389	12	preferred	prefer	VERB
fuelectenerg-13520	389	13	for	for	ADP
fuelectenerg-13520	389	14	filter	filter	NOUN
fuelectenerg-13520	389	15	design	design	NOUN
fuelectenerg-13520	389	16	,	,	PUNCT
fuelectenerg-13520	389	17	as	as	SCONJ
fuelectenerg-13520	389	18	increasing	increase	VERB
fuelectenerg-13520	389	19	the	the	DET
fuelectenerg-13520	389	20	multiplicity	multiplicity	NOUN
fuelectenerg-13520	389	21	provides	provide	VERB
fuelectenerg-13520	389	22	minimal	minimal	ADJ
fuelectenerg-13520	389	23	improvements	improvement	NOUN
fuelectenerg-13520	389	24	in	in	ADP
fuelectenerg-13520	389	25	the	the	DET
fuelectenerg-13520	389	26	cutoff	cutoff	NOUN
fuelectenerg-13520	389	27	slope	slope	NOUN
fuelectenerg-13520	389	28	and	and	CCONJ
fuelectenerg-13520	389	29	return	return	VERB
fuelectenerg-13520	389	30	loss	loss	NOUN
fuelectenerg-13520	389	31	while	while	SCONJ
fuelectenerg-13520	389	32	increasing	increase	VERB
fuelectenerg-13520	389	33	hardware	hardware	NOUN
fuelectenerg-13520	389	34	complexity	complexity	NOUN
fuelectenerg-13520	389	35	,	,	PUNCT
fuelectenerg-13520	389	36	sensitivity	sensitivity	NOUN
fuelectenerg-13520	389	37	,	,	PUNCT
fuelectenerg-13520	389	38	and	and	CCONJ
fuelectenerg-13520	389	39	tuning	tune	VERB
fuelectenerg-13520	389	40	time	time	NOUN
fuelectenerg-13520	389	41	.	.	PUNCT
fuelectenerg-13520	390	1	acknowledgment	acknowledgment	NOUN
fuelectenerg-13520	390	2	:	:	PUNCT
fuelectenerg-13520	390	3	the	the	DET
fuelectenerg-13520	390	4	authors	author	NOUN
fuelectenerg-13520	390	5	would	would	AUX
fuelectenerg-13520	390	6	like	like	VERB
fuelectenerg-13520	390	7	to	to	PART
fuelectenerg-13520	390	8	express	express	VERB
fuelectenerg-13520	390	9	their	their	PRON
fuelectenerg-13520	390	10	gratitude	gratitude	NOUN
fuelectenerg-13520	390	11	to	to	ADP
fuelectenerg-13520	390	12	professor	professor	PROPN
fuelectenerg-13520	390	13	v.	v.	PROPN
fuelectenerg-13520	390	14	s.	s.	PROPN
fuelectenerg-13520	390	15	stojanović	stojanović	PROPN
fuelectenerg-13520	391	1	from	from	ADP
fuelectenerg-13520	391	2	the	the	DET
fuelectenerg-13520	391	3	university	university	NOUN
fuelectenerg-13520	391	4	of	of	ADP
fuelectenerg-13520	391	5	nǐs	nǐs	PROPN
fuelectenerg-13520	391	6	,	,	PUNCT
fuelectenerg-13520	391	7	serbia	serbia	PROPN
fuelectenerg-13520	391	8	for	for	ADP
fuelectenerg-13520	391	9	his	his	PRON
fuelectenerg-13520	391	10	invaluable	invaluable	ADJ
fuelectenerg-13520	391	11	comments	comment	NOUN
fuelectenerg-13520	391	12	and	and	CCONJ
fuelectenerg-13520	391	13	suggestions	suggestion	NOUN
fuelectenerg-13520	391	14	.	.	PUNCT
fuelectenerg-13520	392	1	references	reference	NOUN
fuelectenerg-13520	392	2	[	[	X
fuelectenerg-13520	392	3	1	1	X
fuelectenerg-13520	392	4	]	]	PUNCT
fuelectenerg-13520	392	5	s.	s.	PROPN
fuelectenerg-13520	392	6	nikolić	nikolić	PROPN
fuelectenerg-13520	392	7	,	,	PUNCT
fuelectenerg-13520	392	8	n.	n.	PROPN
fuelectenerg-13520	392	9	stojanović	stojanović	ADJ
fuelectenerg-13520	392	10	,	,	PUNCT
fuelectenerg-13520	392	11	n.	n.	NOUN
fuelectenerg-13520	392	12	stamenković	stamenković	NOUN
fuelectenerg-13520	392	13	,	,	PUNCT
fuelectenerg-13520	392	14	and	and	CCONJ
fuelectenerg-13520	392	15	i.	i.	PROPN
fuelectenerg-13520	392	16	krstić	krstić	PROPN
fuelectenerg-13520	392	17	,	,	PUNCT
fuelectenerg-13520	392	18	“	"	PUNCT
fuelectenerg-13520	392	19	optimum	optimum	ADJ
fuelectenerg-13520	392	20	allpole	allpole	NOUN
fuelectenerg-13520	392	21	filters	filter	NOUN
fuelectenerg-13520	392	22	with	with	ADP
fuelectenerg-13520	392	23	chebyshev	chebyshev	NOUN
fuelectenerg-13520	392	24	passband	passband	NOUN
fuelectenerg-13520	392	25	magnitude	magnitude	NOUN
fuelectenerg-13520	392	26	response	response	NOUN
fuelectenerg-13520	392	27	,	,	PUNCT
fuelectenerg-13520	392	28	”	"	PUNCT
fuelectenerg-13520	392	29	aeu	aeu	ADV
fuelectenerg-13520	392	30	international	international	ADJ
fuelectenerg-13520	392	31	journal	journal	NOUN
fuelectenerg-13520	392	32	of	of	ADP
fuelectenerg-13520	392	33	electronics	electronic	NOUN
fuelectenerg-13520	392	34	and	and	CCONJ
fuelectenerg-13520	392	35	communications	communication	NOUN
fuelectenerg-13520	392	36	,	,	PUNCT
fuelectenerg-13520	392	37	vol	vol	NOUN
fuelectenerg-13520	392	38	.	.	PROPN
fuelectenerg-13520	392	39	135	135	NUM
fuelectenerg-13520	392	40	,	,	PUNCT
fuelectenerg-13520	392	41	no	no	INTJ
fuelectenerg-13520	392	42	.	.	NOUN
fuelectenerg-13520	392	43	6	6	NUM
fuelectenerg-13520	392	44	,	,	PUNCT
fuelectenerg-13520	392	45	p.	p.	NOUN
fuelectenerg-13520	392	46	153740	153740	NUM
fuelectenerg-13520	392	47	,	,	PUNCT
fuelectenerg-13520	392	48	2021	2021	NUM
fuelectenerg-13520	392	49	,	,	PUNCT
fuelectenerg-13520	392	50	doi:10.1016	doi:10.1016	PROPN
fuelectenerg-13520	392	51	/	/	SYM
fuelectenerg-13520	392	52	j.aeue.2021.153740	j.aeue.2021.153740	NOUN
fuelectenerg-13520	392	53	.	.	PUNCT
fuelectenerg-13520	393	1	[	[	X
fuelectenerg-13520	393	2	2	2	X
fuelectenerg-13520	393	3	]	]	PUNCT
fuelectenerg-13520	393	4	n.	n.	NOUN
fuelectenerg-13520	393	5	stojanović	stojanović	ADJ
fuelectenerg-13520	393	6	,	,	PUNCT
fuelectenerg-13520	393	7	n.	n.	NOUN
fuelectenerg-13520	393	8	stamenković	stamenković	NOUN
fuelectenerg-13520	393	9	,	,	PUNCT
fuelectenerg-13520	393	10	and	and	CCONJ
fuelectenerg-13520	393	11	i.	i.	PROPN
fuelectenerg-13520	393	12	krstić	krstić	PROPN
fuelectenerg-13520	393	13	,	,	PUNCT
fuelectenerg-13520	393	14	“	"	PUNCT
fuelectenerg-13520	393	15	an	an	DET
fuelectenerg-13520	393	16	improved	improved	ADJ
fuelectenerg-13520	393	17	design	design	NOUN
fuelectenerg-13520	393	18	method	method	NOUN
fuelectenerg-13520	393	19	for	for	ADP
fuelectenerg-13520	393	20	even	even	ADV
fuelectenerg-13520	393	21	-	-	PUNCT
fuelectenerg-13520	393	22	degree	degree	NOUN
fuelectenerg-13520	393	23	optimum	optimum	ADJ
fuelectenerg-13520	393	24	allpole	allpole	NOUN
fuelectenerg-13520	393	25	filters	filter	NOUN
fuelectenerg-13520	393	26	with	with	ADP
fuelectenerg-13520	393	27	equiripple	equiripple	NOUN
fuelectenerg-13520	393	28	passband	passband	NOUN
fuelectenerg-13520	393	29	responses	response	NOUN
fuelectenerg-13520	393	30	,	,	PUNCT
fuelectenerg-13520	393	31	”	"	PUNCT
fuelectenerg-13520	393	32	aeu	aeu	ADV
fuelectenerg-13520	393	33	international	international	ADJ
fuelectenerg-13520	393	34	journal	journal	NOUN
fuelectenerg-13520	393	35	of	of	ADP
fuelectenerg-13520	393	36	electronics	electronic	NOUN
fuelectenerg-13520	393	37	and	and	CCONJ
fuelectenerg-13520	393	38	communications	communication	NOUN
fuelectenerg-13520	393	39	,	,	PUNCT
fuelectenerg-13520	393	40	vol	vol	NOUN
fuelectenerg-13520	393	41	.	.	PROPN
fuelectenerg-13520	393	42	159	159	NUM
fuelectenerg-13520	393	43	,	,	PUNCT
fuelectenerg-13520	393	44	no	no	INTJ
fuelectenerg-13520	393	45	.	.	NOUN
fuelectenerg-13520	393	46	2	2	NUM
fuelectenerg-13520	393	47	,	,	PUNCT
fuelectenerg-13520	393	48	p.	p.	NOUN
fuelectenerg-13520	393	49	154469	154469	NUM
fuelectenerg-13520	393	50	,	,	PUNCT
fuelectenerg-13520	393	51	2023	2023	NUM
fuelectenerg-13520	393	52	,	,	PUNCT
fuelectenerg-13520	393	53	doi:10.1016	doi:10.1016	PROPN
fuelectenerg-13520	393	54	/	/	SYM
fuelectenerg-13520	393	55	j.aeue.2022.154469	j.aeue.2022.154469	PROPN
fuelectenerg-13520	393	56	.	.	PUNCT
fuelectenerg-13520	394	1	[	[	X
fuelectenerg-13520	394	2	3	3	X
fuelectenerg-13520	394	3	]	]	X
fuelectenerg-13520	394	4	n.	n.	NOUN
fuelectenerg-13520	394	5	stojanović	stojanović	PROPN
fuelectenerg-13520	394	6	,	,	PUNCT
fuelectenerg-13520	394	7	i.	i.	PROPN
fuelectenerg-13520	394	8	krstić	krstić	PROPN
fuelectenerg-13520	394	9	,	,	PUNCT
fuelectenerg-13520	394	10	and	and	CCONJ
fuelectenerg-13520	394	11	n.	n.	PROPN
fuelectenerg-13520	394	12	stamenković	stamenković	PROPN
fuelectenerg-13520	394	13	,	,	PUNCT
fuelectenerg-13520	394	14	“	"	PUNCT
fuelectenerg-13520	394	15	recursive	recursive	ADJ
fuelectenerg-13520	394	16	digital	digital	ADJ
fuelectenerg-13520	394	17	filters	filter	NOUN
fuelectenerg-13520	394	18	with	with	ADP
fuelectenerg-13520	394	19	optimum	optimum	ADJ
fuelectenerg-13520	394	20	equiripple	equiripple	NOUN
fuelectenerg-13520	394	21	passband	passband	NOUN
fuelectenerg-13520	394	22	magnitude	magnitude	NOUN
fuelectenerg-13520	394	23	characteristic	characteristic	ADJ
fuelectenerg-13520	394	24	,	,	PUNCT
fuelectenerg-13520	394	25	”	"	PUNCT
fuelectenerg-13520	394	26	aeu	aeu	PROPN
fuelectenerg-13520	394	27	international	international	ADJ
fuelectenerg-13520	394	28	journal	journal	NOUN
fuelectenerg-13520	394	29	of	of	ADP
fuelectenerg-13520	394	30	electronics	electronic	NOUN
fuelectenerg-13520	394	31	and	and	CCONJ
fuelectenerg-13520	394	32	communications	communication	NOUN
fuelectenerg-13520	394	33	,	,	PUNCT
fuelectenerg-13520	394	34	vol	vol	NOUN
fuelectenerg-13520	394	35	.	.	PROPN
fuelectenerg-13520	394	36	170	170	NUM
fuelectenerg-13520	394	37	,	,	PUNCT
fuelectenerg-13520	394	38	no	no	INTJ
fuelectenerg-13520	394	39	.	.	NOUN
fuelectenerg-13520	394	40	10	10	NUM
fuelectenerg-13520	394	41	,	,	PUNCT
fuelectenerg-13520	394	42	p.	p.	NOUN
fuelectenerg-13520	394	43	154851	154851	NUM
fuelectenerg-13520	394	44	,	,	PUNCT
fuelectenerg-13520	394	45	2023	2023	NUM
fuelectenerg-13520	394	46	,	,	PUNCT
fuelectenerg-13520	394	47	doi:10.1016	doi:10.1016	PROPN
fuelectenerg-13520	394	48	/	/	SYM
fuelectenerg-13520	394	49	j.aeue.2023.154851	j.aeue.2023.154851	PROPN
fuelectenerg-13520	394	50	.	.	PUNCT
fuelectenerg-13520	395	1	[	[	X
fuelectenerg-13520	395	2	4	4	X
fuelectenerg-13520	395	3	]	]	X
fuelectenerg-13520	395	4	n.	n.	NOUN
fuelectenerg-13520	395	5	stojanović	stojanović	PROPN
fuelectenerg-13520	395	6	,	,	PUNCT
fuelectenerg-13520	395	7	i.	i.	PROPN
fuelectenerg-13520	395	8	krstić	krstić	PROPN
fuelectenerg-13520	395	9	,	,	PUNCT
fuelectenerg-13520	395	10	and	and	CCONJ
fuelectenerg-13520	395	11	n.	n.	PROPN
fuelectenerg-13520	395	12	stamenković	stamenković	PROPN
fuelectenerg-13520	395	13	,	,	PUNCT
fuelectenerg-13520	395	14	“	"	PUNCT
fuelectenerg-13520	395	15	performance	performance	NOUN
fuelectenerg-13520	395	16	analysis	analysis	NOUN
fuelectenerg-13520	395	17	of	of	ADP
fuelectenerg-13520	395	18	optimum	optimum	ADJ
fuelectenerg-13520	395	19	chebyshev	chebyshev	NOUN
fuelectenerg-13520	395	20	filters	filter	NOUN
fuelectenerg-13520	395	21	at	at	ADP
fuelectenerg-13520	395	22	microwave	microwave	NOUN
fuelectenerg-13520	395	23	frequencies	frequency	NOUN
fuelectenerg-13520	395	24	,	,	PUNCT
fuelectenerg-13520	395	25	”	"	PUNCT
fuelectenerg-13520	395	26	aeu	aeu	PROPN
fuelectenerg-13520	395	27	international	international	ADJ
fuelectenerg-13520	395	28	journal	journal	NOUN
fuelectenerg-13520	395	29	of	of	ADP
fuelectenerg-13520	395	30	electronics	electronic	NOUN
fuelectenerg-13520	395	31	and	and	CCONJ
fuelectenerg-13520	395	32	communications	communication	NOUN
fuelectenerg-13520	395	33	,	,	PUNCT
fuelectenerg-13520	395	34	vol	vol	NOUN
fuelectenerg-13520	395	35	.	.	PROPN
fuelectenerg-13520	395	36	187	187	NUM
fuelectenerg-13520	395	37	,	,	PUNCT
fuelectenerg-13520	395	38	no	no	INTJ
fuelectenerg-13520	395	39	.	.	NOUN
fuelectenerg-13520	395	40	12	12	NUM
fuelectenerg-13520	395	41	,	,	PUNCT
fuelectenerg-13520	395	42	p.	p.	NOUN
fuelectenerg-13520	395	43	155502	155502	NUM
fuelectenerg-13520	395	44	,	,	PUNCT
fuelectenerg-13520	395	45	2024	2024	NUM
fuelectenerg-13520	395	46	,	,	PUNCT
fuelectenerg-13520	395	47	doi:10.1016	doi:10.1016	PROPN
fuelectenerg-13520	395	48	/	/	SYM
fuelectenerg-13520	395	49	j.aeue.2024.155502	j.aeue.2024.155502	PROPN
fuelectenerg-13520	395	50	.	.	PUNCT
fuelectenerg-13520	396	1	[	[	X
fuelectenerg-13520	396	2	5	5	NUM
fuelectenerg-13520	396	3	]	]	PUNCT
fuelectenerg-13520	396	4	m.	m.	NOUN
fuelectenerg-13520	396	5	agarwal	agarwal	PROPN
fuelectenerg-13520	396	6	and	and	CCONJ
fuelectenerg-13520	396	7	a.	a.	NOUN
fuelectenerg-13520	396	8	sedra	sedra	PROPN
fuelectenerg-13520	396	9	,	,	PUNCT
fuelectenerg-13520	396	10	“	"	PUNCT
fuelectenerg-13520	396	11	on	on	ADP
fuelectenerg-13520	396	12	designing	design	VERB
fuelectenerg-13520	396	13	sharp	sharp	ADJ
fuelectenerg-13520	396	14	cutoff	cutoff	NOUN
fuelectenerg-13520	396	15	low	low	ADJ
fuelectenerg-13520	396	16	-	-	PUNCT
fuelectenerg-13520	396	17	pass	pass	NOUN
fuelectenerg-13520	396	18	filters	filter	NOUN
fuelectenerg-13520	396	19	,	,	PUNCT
fuelectenerg-13520	396	20	”	"	PUNCT
fuelectenerg-13520	396	21	ieee	ieee	NOUN
fuelectenerg-13520	396	22	transactions	transaction	NOUN
fuelectenerg-13520	396	23	on	on	ADP
fuelectenerg-13520	396	24	audio	audio	NOUN
fuelectenerg-13520	396	25	and	and	CCONJ
fuelectenerg-13520	396	26	electroacoustics	electroacoustic	NOUN
fuelectenerg-13520	396	27	,	,	PUNCT
fuelectenerg-13520	396	28	vol	vol	NOUN
fuelectenerg-13520	396	29	.	.	PROPN
fuelectenerg-13520	396	30	20	20	NUM
fuelectenerg-13520	396	31	,	,	PUNCT
fuelectenerg-13520	396	32	no	no	INTJ
fuelectenerg-13520	396	33	.	.	NOUN
fuelectenerg-13520	396	34	2	2	NUM
fuelectenerg-13520	396	35	,	,	PUNCT
fuelectenerg-13520	396	36	pp	pp	ADJ
fuelectenerg-13520	396	37	.	.	PUNCT
fuelectenerg-13520	397	1	138–141	138–141	NUM
fuelectenerg-13520	397	2	,	,	PUNCT
fuelectenerg-13520	397	3	jun	jun	PROPN
fuelectenerg-13520	397	4	.	.	PROPN
fuelectenerg-13520	397	5	1972	1972	NUM
fuelectenerg-13520	397	6	,	,	PUNCT
fuelectenerg-13520	397	7	doi:10.1109	doi:10.1109	VERB
fuelectenerg-13520	397	8	/	/	SYM
fuelectenerg-13520	397	9	tau.1972.1162359	tau.1972.1162359	NOUN
fuelectenerg-13520	397	10	.	.	PUNCT
fuelectenerg-13520	398	1	52	52	NUM
fuelectenerg-13520	398	2	n.	n.	NOUN
fuelectenerg-13520	398	3	stojanović	stojanović	PROPN
fuelectenerg-13520	398	4	,	,	PUNCT
fuelectenerg-13520	398	5	i.	i.	PROPN
fuelectenerg-13520	398	6	krstić	krstić	PROPN
fuelectenerg-13520	398	7	,	,	PUNCT
fuelectenerg-13520	398	8	n.	n.	PROPN
fuelectenerg-13520	398	9	stamenković	stamenković	VERB
fuelectenerg-13520	398	10	optimum	optimum	PROPN
fuelectenerg-13520	398	11	chebyshev	chebyshev	PROPN
fuelectenerg-13520	398	12	lowpass	lowpass	NOUN
fuelectenerg-13520	398	13	filter	filter	NOUN
fuelectenerg-13520	398	14	with	with	ADP
fuelectenerg-13520	398	15	a	a	DET
fuelectenerg-13520	398	16	pair	pair	NOUN
fuelectenerg-13520	398	17	of	of	ADP
fuelectenerg-13520	398	18	imaginary	imaginary	ADJ
fuelectenerg-13520	398	19	-	-	PUNCT
fuelectenerg-13520	398	20	axis	axis	NOUN
fuelectenerg-13520	398	21	zeros	zero	NOUN
fuelectenerg-13520	398	22	53	53	NUM
fuelectenerg-13520	398	23	110	110	NUM
fuelectenerg-13520	398	24	n.	n.	NOUN
fuelectenerg-13520	398	25	stojanović	stojanović	PROPN
fuelectenerg-13520	398	26	,	,	PUNCT
fuelectenerg-13520	398	27	i.	i.	PROPN
fuelectenerg-13520	398	28	krstić	krstić	PROPN
fuelectenerg-13520	398	29	,	,	PUNCT
fuelectenerg-13520	398	30	n.	n.	PROPN
fuelectenerg-13520	398	31	stamenković	stamenković	VERB
fuelectenerg-13520	398	32	the	the	DET
fuelectenerg-13520	398	33	magnitude	magnitude	NOUN
fuelectenerg-13520	398	34	correction	correction	NOUN
fuelectenerg-13520	398	35	of	of	ADP
fuelectenerg-13520	398	36	the	the	DET
fuelectenerg-13520	398	37	transmission	transmission	NOUN
fuelectenerg-13520	398	38	coefficient	coefficient	NOUN
fuelectenerg-13520	398	39	can	can	AUX
fuelectenerg-13520	398	40	be	be	AUX
fuelectenerg-13520	398	41	applied	apply	VERB
fuelectenerg-13520	398	42	to	to	ADP
fuelectenerg-13520	398	43	both	both	PRON
fuelectenerg-13520	398	44	oddand	oddand	NOUN
fuelectenerg-13520	398	45	even	even	ADV
fuelectenerg-13520	398	46	-	-	PUNCT
fuelectenerg-13520	398	47	degree	degree	NOUN
fuelectenerg-13520	398	48	filters	filter	NOUN
fuelectenerg-13520	398	49	.	.	PUNCT
fuelectenerg-13520	399	1	introducing	introduce	VERB
fuelectenerg-13520	399	2	a	a	DET
fuelectenerg-13520	399	3	single	single	ADJ
fuelectenerg-13520	399	4	transmission	transmission	NOUN
fuelectenerg-13520	399	5	zero	zero	NUM
fuelectenerg-13520	399	6	significantly	significantly	ADV
fuelectenerg-13520	399	7	enhances	enhance	VERB
fuelectenerg-13520	399	8	the	the	DET
fuelectenerg-13520	399	9	out	out	ADV
fuelectenerg-13520	399	10	-	-	PUNCT
fuelectenerg-13520	399	11	of	of	ADP
fuelectenerg-13520	399	12	-	-	PUNCT
fuelectenerg-13520	399	13	band	band	NOUN
fuelectenerg-13520	399	14	rejection	rejection	NOUN
fuelectenerg-13520	399	15	of	of	ADP
fuelectenerg-13520	399	16	the	the	DET
fuelectenerg-13520	399	17	all	all	DET
fuelectenerg-13520	399	18	-	-	PUNCT
fuelectenerg-13520	399	19	pole	pole	NOUN
fuelectenerg-13520	399	20	filter	filter	NOUN
fuelectenerg-13520	399	21	by	by	ADP
fuelectenerg-13520	399	22	steepening	steepen	VERB
fuelectenerg-13520	399	23	the	the	DET
fuelectenerg-13520	399	24	cutoff	cutoff	NOUN
fuelectenerg-13520	399	25	slope	slope	NOUN
fuelectenerg-13520	399	26	and	and	CCONJ
fuelectenerg-13520	399	27	lowering	lower	VERB
fuelectenerg-13520	399	28	the	the	DET
fuelectenerg-13520	399	29	stopband	stopband	NOUN
fuelectenerg-13520	399	30	edge	edge	NOUN
fuelectenerg-13520	399	31	frequency	frequency	NOUN
fuelectenerg-13520	399	32	.	.	PUNCT
fuelectenerg-13520	400	1	while	while	SCONJ
fuelectenerg-13520	400	2	increasing	increase	VERB
fuelectenerg-13520	400	3	the	the	DET
fuelectenerg-13520	400	4	multiplicity	multiplicity	NOUN
fuelectenerg-13520	400	5	of	of	ADP
fuelectenerg-13520	400	6	the	the	DET
fuelectenerg-13520	400	7	transmission	transmission	NOUN
fuelectenerg-13520	400	8	zero	zero	NUM
fuelectenerg-13520	400	9	provides	provide	VERB
fuelectenerg-13520	400	10	a	a	DET
fuelectenerg-13520	400	11	slight	slight	ADJ
fuelectenerg-13520	400	12	improvement	improvement	NOUN
fuelectenerg-13520	400	13	in	in	ADP
fuelectenerg-13520	400	14	the	the	DET
fuelectenerg-13520	400	15	cutoff	cutoff	NOUN
fuelectenerg-13520	400	16	slope	slope	NOUN
fuelectenerg-13520	400	17	,	,	PUNCT
fuelectenerg-13520	400	18	extending	extend	VERB
fuelectenerg-13520	400	19	it	it	PRON
fuelectenerg-13520	400	20	beyond	beyond	ADP
fuelectenerg-13520	400	21	two	two	NUM
fuelectenerg-13520	400	22	is	be	AUX
fuelectenerg-13520	400	23	unnecessary	unnecessary	ADJ
fuelectenerg-13520	400	24	,	,	PUNCT
fuelectenerg-13520	400	25	as	as	SCONJ
fuelectenerg-13520	400	26	it	it	PRON
fuelectenerg-13520	400	27	leads	lead	VERB
fuelectenerg-13520	400	28	to	to	ADP
fuelectenerg-13520	400	29	higher	high	ADJ
fuelectenerg-13520	400	30	sensitivity	sensitivity	NOUN
fuelectenerg-13520	400	31	and	and	CCONJ
fuelectenerg-13520	400	32	increased	increase	VERB
fuelectenerg-13520	400	33	network	network	NOUN
fuelectenerg-13520	400	34	complexity	complexity	NOUN
fuelectenerg-13520	400	35	.	.	PUNCT
fuelectenerg-13520	401	1	however	however	ADV
fuelectenerg-13520	401	2	,	,	PUNCT
fuelectenerg-13520	401	3	a	a	DET
fuelectenerg-13520	401	4	triple	triple	ADJ
fuelectenerg-13520	401	5	-	-	PUNCT
fuelectenerg-13520	401	6	zero	zero	NUM
fuelectenerg-13520	401	7	pair	pair	NOUN
fuelectenerg-13520	401	8	results	result	NOUN
fuelectenerg-13520	401	9	in	in	ADP
fuelectenerg-13520	401	10	a	a	DET
fuelectenerg-13520	401	11	magnitude	magnitude	NOUN
fuelectenerg-13520	401	12	response	response	NOUN
fuelectenerg-13520	401	13	with	with	ADP
fuelectenerg-13520	401	14	a	a	DET
fuelectenerg-13520	401	15	wide	wide	ADJ
fuelectenerg-13520	401	16	stopband	stopband	NOUN
fuelectenerg-13520	401	17	region	region	NOUN
fuelectenerg-13520	401	18	and	and	CCONJ
fuelectenerg-13520	401	19	extremely	extremely	ADV
fuelectenerg-13520	401	20	high	high	ADJ
fuelectenerg-13520	401	21	attenuation	attenuation	NOUN
fuelectenerg-13520	401	22	in	in	ADP
fuelectenerg-13520	401	23	the	the	DET
fuelectenerg-13520	401	24	frequency	frequency	NOUN
fuelectenerg-13520	401	25	band	band	NOUN
fuelectenerg-13520	401	26	around	around	ADP
fuelectenerg-13520	401	27	the	the	DET
fuelectenerg-13520	401	28	transmission	transmission	NOUN
fuelectenerg-13520	401	29	zero	zero	NUM
fuelectenerg-13520	401	30	.	.	PUNCT
fuelectenerg-13520	402	1	4	4	X
fuelectenerg-13520	402	2	.	.	X
fuelectenerg-13520	402	3	conclusion	conclusion	NOUN
fuelectenerg-13520	402	4	this	this	DET
fuelectenerg-13520	402	5	paper	paper	NOUN
fuelectenerg-13520	402	6	presents	present	VERB
fuelectenerg-13520	402	7	an	an	DET
fuelectenerg-13520	402	8	efficient	efficient	ADJ
fuelectenerg-13520	402	9	and	and	CCONJ
fuelectenerg-13520	402	10	straightforward	straightforward	ADJ
fuelectenerg-13520	402	11	procedure	procedure	NOUN
fuelectenerg-13520	402	12	for	for	ADP
fuelectenerg-13520	402	13	correcting	correct	VERB
fuelectenerg-13520	402	14	the	the	DET
fuelectenerg-13520	402	15	magnitude	magnitude	NOUN
fuelectenerg-13520	402	16	function	function	NOUN
fuelectenerg-13520	402	17	in	in	ADP
fuelectenerg-13520	402	18	optimal	optimal	ADJ
fuelectenerg-13520	402	19	c	c	NOUN
fuelectenerg-13520	402	20	filters	filter	NOUN
fuelectenerg-13520	402	21	,	,	PUNCT
fuelectenerg-13520	402	22	specifically	specifically	ADV
fuelectenerg-13520	402	23	designed	design	VERB
fuelectenerg-13520	402	24	for	for	ADP
fuelectenerg-13520	402	25	low	low	ADJ
fuelectenerg-13520	402	26	-	-	PUNCT
fuelectenerg-13520	402	27	pass	pass	NOUN
fuelectenerg-13520	402	28	filters	filter	NOUN
fuelectenerg-13520	402	29	that	that	PRON
fuelectenerg-13520	402	30	prioritize	prioritize	VERB
fuelectenerg-13520	402	31	magnitude	magnitude	NOUN
fuelectenerg-13520	402	32	specifications	specification	NOUN
fuelectenerg-13520	402	33	.	.	PUNCT
fuelectenerg-13520	403	1	the	the	DET
fuelectenerg-13520	403	2	chebyshev	chebyshev	NOUN
fuelectenerg-13520	403	3	filtering	filtering	NOUN
fuelectenerg-13520	403	4	function	function	NOUN
fuelectenerg-13520	403	5	is	be	AUX
fuelectenerg-13520	403	6	modified	modify	VERB
fuelectenerg-13520	403	7	by	by	ADP
fuelectenerg-13520	403	8	introducing	introduce	VERB
fuelectenerg-13520	403	9	a	a	DET
fuelectenerg-13520	403	10	symmetric	symmetric	ADJ
fuelectenerg-13520	403	11	pair	pair	NOUN
fuelectenerg-13520	403	12	of	of	ADP
fuelectenerg-13520	403	13	poles	pole	NOUN
fuelectenerg-13520	403	14	of	of	ADP
fuelectenerg-13520	403	15	arbitrary	arbitrary	ADJ
fuelectenerg-13520	403	16	multiplicity	multiplicity	NOUN
fuelectenerg-13520	403	17	into	into	ADP
fuelectenerg-13520	403	18	its	its	PRON
fuelectenerg-13520	403	19	transcendental	transcendental	ADJ
fuelectenerg-13520	403	20	form	form	NOUN
fuelectenerg-13520	403	21	,	,	PUNCT
fuelectenerg-13520	403	22	preserving	preserve	VERB
fuelectenerg-13520	403	23	the	the	DET
fuelectenerg-13520	403	24	extremal	extremal	ADJ
fuelectenerg-13520	403	25	properties	property	NOUN
fuelectenerg-13520	403	26	of	of	ADP
fuelectenerg-13520	403	27	the	the	DET
fuelectenerg-13520	403	28	passband	passband	NOUN
fuelectenerg-13520	403	29	’s	’s	PART
fuelectenerg-13520	403	30	equal	equal	ADJ
fuelectenerg-13520	403	31	-	-	PUNCT
fuelectenerg-13520	403	32	ripple	ripple	ADJ
fuelectenerg-13520	403	33	behavior	behavior	NOUN
fuelectenerg-13520	403	34	.	.	PUNCT
fuelectenerg-13520	404	1	a	a	DET
fuelectenerg-13520	404	2	new	new	ADJ
fuelectenerg-13520	404	3	and	and	CCONJ
fuelectenerg-13520	404	4	efficient	efficient	ADJ
fuelectenerg-13520	404	5	method	method	NOUN
fuelectenerg-13520	404	6	is	be	AUX
fuelectenerg-13520	404	7	proposed	propose	VERB
fuelectenerg-13520	404	8	for	for	ADP
fuelectenerg-13520	404	9	deriving	derive	VERB
fuelectenerg-13520	404	10	a	a	DET
fuelectenerg-13520	404	11	rational	rational	ADJ
fuelectenerg-13520	404	12	polynomial	polynomial	NOUN
fuelectenerg-13520	404	13	from	from	ADP
fuelectenerg-13520	404	14	the	the	DET
fuelectenerg-13520	404	15	transcendental	transcendental	ADJ
fuelectenerg-13520	404	16	form	form	NOUN
fuelectenerg-13520	404	17	of	of	ADP
fuelectenerg-13520	404	18	the	the	DET
fuelectenerg-13520	404	19	optimum	optimum	ADJ
fuelectenerg-13520	404	20	c	c	NOUN
fuelectenerg-13520	404	21	filtering	filtering	NOUN
fuelectenerg-13520	404	22	function	function	NOUN
fuelectenerg-13520	404	23	that	that	PRON
fuelectenerg-13520	404	24	exhibits	exhibit	VERB
fuelectenerg-13520	404	25	a	a	DET
fuelectenerg-13520	404	26	transmission	transmission	NOUN
fuelectenerg-13520	404	27	zero	zero	NUM
fuelectenerg-13520	404	28	pair	pair	NOUN
fuelectenerg-13520	404	29	,	,	PUNCT
fuelectenerg-13520	404	30	single	single	ADJ
fuelectenerg-13520	404	31	or	or	CCONJ
fuelectenerg-13520	404	32	multiple	multiple	ADJ
fuelectenerg-13520	404	33	,	,	PUNCT
fuelectenerg-13520	404	34	at	at	ADP
fuelectenerg-13520	404	35	a	a	DET
fuelectenerg-13520	404	36	finite	finite	ADJ
fuelectenerg-13520	404	37	frequency	frequency	NOUN
fuelectenerg-13520	404	38	.	.	PUNCT
fuelectenerg-13520	405	1	as	as	ADP
fuelectenerg-13520	405	2	an	an	DET
fuelectenerg-13520	405	3	example	example	NOUN
fuelectenerg-13520	405	4	,	,	PUNCT
fuelectenerg-13520	405	5	the	the	DET
fuelectenerg-13520	405	6	derivation	derivation	NOUN
fuelectenerg-13520	405	7	of	of	ADP
fuelectenerg-13520	405	8	a	a	DET
fuelectenerg-13520	405	9	7th	7th	ADJ
fuelectenerg-13520	405	10	-	-	PUNCT
fuelectenerg-13520	405	11	degree	degree	NOUN
fuelectenerg-13520	405	12	rational	rational	ADJ
fuelectenerg-13520	405	13	polynomial	polynomial	NOUN
fuelectenerg-13520	405	14	from	from	ADP
fuelectenerg-13520	405	15	the	the	DET
fuelectenerg-13520	405	16	transcendental	transcendental	ADJ
fuelectenerg-13520	405	17	optimum	optimum	ADJ
fuelectenerg-13520	405	18	chebyshev	chebyshev	NOUN
fuelectenerg-13520	405	19	filtering	filtering	NOUN
fuelectenerg-13520	405	20	function	function	NOUN
fuelectenerg-13520	405	21	is	be	AUX
fuelectenerg-13520	405	22	demonstrated	demonstrate	VERB
fuelectenerg-13520	405	23	for	for	ADP
fuelectenerg-13520	405	24	cases	case	NOUN
fuelectenerg-13520	405	25	of	of	ADP
fuelectenerg-13520	405	26	single	single	ADJ
fuelectenerg-13520	405	27	,	,	PUNCT
fuelectenerg-13520	405	28	double	double	ADJ
fuelectenerg-13520	405	29	,	,	PUNCT
fuelectenerg-13520	405	30	and	and	CCONJ
fuelectenerg-13520	405	31	triple	triple	ADJ
fuelectenerg-13520	405	32	pole	pole	NOUN
fuelectenerg-13520	405	33	pairs	pair	NOUN
fuelectenerg-13520	405	34	.	.	PUNCT
fuelectenerg-13520	406	1	the	the	DET
fuelectenerg-13520	406	2	proposed	propose	VERB
fuelectenerg-13520	406	3	approach	approach	NOUN
fuelectenerg-13520	406	4	enhances	enhance	VERB
fuelectenerg-13520	406	5	the	the	DET
fuelectenerg-13520	406	6	cutoff	cutoff	NOUN
fuelectenerg-13520	406	7	slope	slope	NOUN
fuelectenerg-13520	406	8	and	and	CCONJ
fuelectenerg-13520	406	9	slightly	slightly	ADV
fuelectenerg-13520	406	10	reduces	reduce	VERB
fuelectenerg-13520	406	11	reflection	reflection	NOUN
fuelectenerg-13520	406	12	power	power	NOUN
fuelectenerg-13520	406	13	at	at	ADP
fuelectenerg-13520	406	14	the	the	DET
fuelectenerg-13520	406	15	filter	filter	NOUN
fuelectenerg-13520	406	16	’s	’s	PART
fuelectenerg-13520	406	17	input	input	NOUN
fuelectenerg-13520	406	18	terminals	terminal	NOUN
fuelectenerg-13520	406	19	compared	compare	VERB
fuelectenerg-13520	406	20	to	to	ADP
fuelectenerg-13520	406	21	the	the	DET
fuelectenerg-13520	406	22	optimum	optimum	ADJ
fuelectenerg-13520	406	23	c	c	NOUN
fuelectenerg-13520	406	24	all	all	PRON
fuelectenerg-13520	406	25	-	-	PUNCT
fuelectenerg-13520	406	26	pole	pole	NOUN
fuelectenerg-13520	406	27	filter	filter	NOUN
fuelectenerg-13520	406	28	.	.	PUNCT
fuelectenerg-13520	407	1	however	however	ADV
fuelectenerg-13520	407	2	,	,	PUNCT
fuelectenerg-13520	407	3	a	a	DET
fuelectenerg-13520	407	4	single	single	ADJ
fuelectenerg-13520	407	5	or	or	CCONJ
fuelectenerg-13520	407	6	double	double	ADJ
fuelectenerg-13520	407	7	transmission	transmission	NOUN
fuelectenerg-13520	407	8	pole	pole	NOUN
fuelectenerg-13520	407	9	pair	pair	NOUN
fuelectenerg-13520	407	10	is	be	AUX
fuelectenerg-13520	407	11	generally	generally	ADV
fuelectenerg-13520	407	12	preferred	prefer	VERB
fuelectenerg-13520	407	13	for	for	ADP
fuelectenerg-13520	407	14	filter	filter	NOUN
fuelectenerg-13520	407	15	design	design	NOUN
fuelectenerg-13520	407	16	,	,	PUNCT
fuelectenerg-13520	407	17	as	as	SCONJ
fuelectenerg-13520	407	18	increasing	increase	VERB
fuelectenerg-13520	407	19	the	the	DET
fuelectenerg-13520	407	20	multiplicity	multiplicity	NOUN
fuelectenerg-13520	407	21	provides	provide	VERB
fuelectenerg-13520	407	22	minimal	minimal	ADJ
fuelectenerg-13520	407	23	improvements	improvement	NOUN
fuelectenerg-13520	407	24	in	in	ADP
fuelectenerg-13520	407	25	the	the	DET
fuelectenerg-13520	407	26	cutoff	cutoff	NOUN
fuelectenerg-13520	407	27	slope	slope	NOUN
fuelectenerg-13520	407	28	and	and	CCONJ
fuelectenerg-13520	407	29	return	return	VERB
fuelectenerg-13520	407	30	loss	loss	NOUN
fuelectenerg-13520	407	31	while	while	SCONJ
fuelectenerg-13520	407	32	increasing	increase	VERB
fuelectenerg-13520	407	33	hardware	hardware	NOUN
fuelectenerg-13520	407	34	complexity	complexity	NOUN
fuelectenerg-13520	407	35	,	,	PUNCT
fuelectenerg-13520	407	36	sensitivity	sensitivity	NOUN
fuelectenerg-13520	407	37	,	,	PUNCT
fuelectenerg-13520	407	38	and	and	CCONJ
fuelectenerg-13520	407	39	tuning	tune	VERB
fuelectenerg-13520	407	40	time	time	NOUN
fuelectenerg-13520	407	41	.	.	PUNCT
fuelectenerg-13520	408	1	acknowledgment	acknowledgment	NOUN
fuelectenerg-13520	408	2	:	:	PUNCT
fuelectenerg-13520	408	3	the	the	DET
fuelectenerg-13520	408	4	authors	author	NOUN
fuelectenerg-13520	408	5	would	would	AUX
fuelectenerg-13520	408	6	like	like	VERB
fuelectenerg-13520	408	7	to	to	PART
fuelectenerg-13520	408	8	express	express	VERB
fuelectenerg-13520	408	9	their	their	PRON
fuelectenerg-13520	408	10	gratitude	gratitude	NOUN
fuelectenerg-13520	408	11	to	to	ADP
fuelectenerg-13520	408	12	professor	professor	PROPN
fuelectenerg-13520	408	13	v.	v.	PROPN
fuelectenerg-13520	408	14	s.	s.	PROPN
fuelectenerg-13520	408	15	stojanović	stojanović	PROPN
fuelectenerg-13520	409	1	from	from	ADP
fuelectenerg-13520	409	2	the	the	DET
fuelectenerg-13520	409	3	university	university	NOUN
fuelectenerg-13520	409	4	of	of	ADP
fuelectenerg-13520	409	5	nǐs	nǐs	PROPN
fuelectenerg-13520	409	6	,	,	PUNCT
fuelectenerg-13520	409	7	serbia	serbia	PROPN
fuelectenerg-13520	409	8	for	for	ADP
fuelectenerg-13520	409	9	his	his	PRON
fuelectenerg-13520	409	10	invaluable	invaluable	ADJ
fuelectenerg-13520	409	11	comments	comment	NOUN
fuelectenerg-13520	409	12	and	and	CCONJ
fuelectenerg-13520	409	13	suggestions	suggestion	NOUN
fuelectenerg-13520	409	14	.	.	PUNCT
fuelectenerg-13520	410	1	references	reference	NOUN
fuelectenerg-13520	410	2	[	[	X
fuelectenerg-13520	410	3	1	1	X
fuelectenerg-13520	410	4	]	]	PUNCT
fuelectenerg-13520	410	5	s.	s.	PROPN
fuelectenerg-13520	410	6	nikolić	nikolić	PROPN
fuelectenerg-13520	410	7	,	,	PUNCT
fuelectenerg-13520	410	8	n.	n.	PROPN
fuelectenerg-13520	410	9	stojanović	stojanović	ADJ
fuelectenerg-13520	410	10	,	,	PUNCT
fuelectenerg-13520	410	11	n.	n.	NOUN
fuelectenerg-13520	410	12	stamenković	stamenković	NOUN
fuelectenerg-13520	410	13	,	,	PUNCT
fuelectenerg-13520	410	14	and	and	CCONJ
fuelectenerg-13520	410	15	i.	i.	PROPN
fuelectenerg-13520	410	16	krstić	krstić	PROPN
fuelectenerg-13520	410	17	,	,	PUNCT
fuelectenerg-13520	410	18	“	"	PUNCT
fuelectenerg-13520	410	19	optimum	optimum	ADJ
fuelectenerg-13520	410	20	allpole	allpole	NOUN
fuelectenerg-13520	410	21	filters	filter	NOUN
fuelectenerg-13520	410	22	with	with	ADP
fuelectenerg-13520	410	23	chebyshev	chebyshev	NOUN
fuelectenerg-13520	410	24	passband	passband	NOUN
fuelectenerg-13520	410	25	magnitude	magnitude	NOUN
fuelectenerg-13520	410	26	response	response	NOUN
fuelectenerg-13520	410	27	,	,	PUNCT
fuelectenerg-13520	410	28	”	"	PUNCT
fuelectenerg-13520	410	29	aeu	aeu	ADV
fuelectenerg-13520	410	30	international	international	ADJ
fuelectenerg-13520	410	31	journal	journal	NOUN
fuelectenerg-13520	410	32	of	of	ADP
fuelectenerg-13520	410	33	electronics	electronic	NOUN
fuelectenerg-13520	410	34	and	and	CCONJ
fuelectenerg-13520	410	35	communications	communication	NOUN
fuelectenerg-13520	410	36	,	,	PUNCT
fuelectenerg-13520	410	37	vol	vol	NOUN
fuelectenerg-13520	410	38	.	.	PROPN
fuelectenerg-13520	410	39	135	135	NUM
fuelectenerg-13520	410	40	,	,	PUNCT
fuelectenerg-13520	410	41	no	no	INTJ
fuelectenerg-13520	410	42	.	.	NOUN
fuelectenerg-13520	410	43	6	6	NUM
fuelectenerg-13520	410	44	,	,	PUNCT
fuelectenerg-13520	410	45	p.	p.	NOUN
fuelectenerg-13520	410	46	153740	153740	NUM
fuelectenerg-13520	410	47	,	,	PUNCT
fuelectenerg-13520	410	48	2021	2021	NUM
fuelectenerg-13520	410	49	,	,	PUNCT
fuelectenerg-13520	410	50	doi:10.1016	doi:10.1016	PROPN
fuelectenerg-13520	410	51	/	/	SYM
fuelectenerg-13520	410	52	j.aeue.2021.153740	j.aeue.2021.153740	NOUN
fuelectenerg-13520	410	53	.	.	PUNCT
fuelectenerg-13520	411	1	[	[	X
fuelectenerg-13520	411	2	2	2	X
fuelectenerg-13520	411	3	]	]	PUNCT
fuelectenerg-13520	411	4	n.	n.	NOUN
fuelectenerg-13520	411	5	stojanović	stojanović	ADJ
fuelectenerg-13520	411	6	,	,	PUNCT
fuelectenerg-13520	411	7	n.	n.	NOUN
fuelectenerg-13520	411	8	stamenković	stamenković	NOUN
fuelectenerg-13520	411	9	,	,	PUNCT
fuelectenerg-13520	411	10	and	and	CCONJ
fuelectenerg-13520	411	11	i.	i.	PROPN
fuelectenerg-13520	411	12	krstić	krstić	PROPN
fuelectenerg-13520	411	13	,	,	PUNCT
fuelectenerg-13520	411	14	“	"	PUNCT
fuelectenerg-13520	411	15	an	an	DET
fuelectenerg-13520	411	16	improved	improved	ADJ
fuelectenerg-13520	411	17	design	design	NOUN
fuelectenerg-13520	411	18	method	method	NOUN
fuelectenerg-13520	411	19	for	for	ADP
fuelectenerg-13520	411	20	even	even	ADV
fuelectenerg-13520	411	21	-	-	PUNCT
fuelectenerg-13520	411	22	degree	degree	NOUN
fuelectenerg-13520	411	23	optimum	optimum	ADJ
fuelectenerg-13520	411	24	allpole	allpole	NOUN
fuelectenerg-13520	411	25	filters	filter	NOUN
fuelectenerg-13520	411	26	with	with	ADP
fuelectenerg-13520	411	27	equiripple	equiripple	NOUN
fuelectenerg-13520	411	28	passband	passband	NOUN
fuelectenerg-13520	411	29	responses	response	NOUN
fuelectenerg-13520	411	30	,	,	PUNCT
fuelectenerg-13520	411	31	”	"	PUNCT
fuelectenerg-13520	411	32	aeu	aeu	ADV
fuelectenerg-13520	411	33	international	international	ADJ
fuelectenerg-13520	411	34	journal	journal	NOUN
fuelectenerg-13520	411	35	of	of	ADP
fuelectenerg-13520	411	36	electronics	electronic	NOUN
fuelectenerg-13520	411	37	and	and	CCONJ
fuelectenerg-13520	411	38	communications	communication	NOUN
fuelectenerg-13520	411	39	,	,	PUNCT
fuelectenerg-13520	411	40	vol	vol	NOUN
fuelectenerg-13520	411	41	.	.	PROPN
fuelectenerg-13520	411	42	159	159	NUM
fuelectenerg-13520	411	43	,	,	PUNCT
fuelectenerg-13520	411	44	no	no	INTJ
fuelectenerg-13520	411	45	.	.	NOUN
fuelectenerg-13520	411	46	2	2	NUM
fuelectenerg-13520	411	47	,	,	PUNCT
fuelectenerg-13520	411	48	p.	p.	NOUN
fuelectenerg-13520	411	49	154469	154469	NUM
fuelectenerg-13520	411	50	,	,	PUNCT
fuelectenerg-13520	411	51	2023	2023	NUM
fuelectenerg-13520	411	52	,	,	PUNCT
fuelectenerg-13520	411	53	doi:10.1016	doi:10.1016	PROPN
fuelectenerg-13520	411	54	/	/	SYM
fuelectenerg-13520	411	55	j.aeue.2022.154469	j.aeue.2022.154469	PROPN
fuelectenerg-13520	411	56	.	.	PUNCT
fuelectenerg-13520	412	1	[	[	X
fuelectenerg-13520	412	2	3	3	X
fuelectenerg-13520	412	3	]	]	X
fuelectenerg-13520	412	4	n.	n.	NOUN
fuelectenerg-13520	412	5	stojanović	stojanović	PROPN
fuelectenerg-13520	412	6	,	,	PUNCT
fuelectenerg-13520	412	7	i.	i.	PROPN
fuelectenerg-13520	412	8	krstić	krstić	PROPN
fuelectenerg-13520	412	9	,	,	PUNCT
fuelectenerg-13520	412	10	and	and	CCONJ
fuelectenerg-13520	412	11	n.	n.	PROPN
fuelectenerg-13520	412	12	stamenković	stamenković	PROPN
fuelectenerg-13520	412	13	,	,	PUNCT
fuelectenerg-13520	412	14	“	"	PUNCT
fuelectenerg-13520	412	15	recursive	recursive	ADJ
fuelectenerg-13520	412	16	digital	digital	ADJ
fuelectenerg-13520	412	17	filters	filter	NOUN
fuelectenerg-13520	412	18	with	with	ADP
fuelectenerg-13520	412	19	optimum	optimum	ADJ
fuelectenerg-13520	412	20	equiripple	equiripple	NOUN
fuelectenerg-13520	412	21	passband	passband	NOUN
fuelectenerg-13520	412	22	magnitude	magnitude	NOUN
fuelectenerg-13520	412	23	characteristic	characteristic	ADJ
fuelectenerg-13520	412	24	,	,	PUNCT
fuelectenerg-13520	412	25	”	"	PUNCT
fuelectenerg-13520	412	26	aeu	aeu	PROPN
fuelectenerg-13520	412	27	international	international	ADJ
fuelectenerg-13520	412	28	journal	journal	NOUN
fuelectenerg-13520	412	29	of	of	ADP
fuelectenerg-13520	412	30	electronics	electronic	NOUN
fuelectenerg-13520	412	31	and	and	CCONJ
fuelectenerg-13520	412	32	communications	communication	NOUN
fuelectenerg-13520	412	33	,	,	PUNCT
fuelectenerg-13520	412	34	vol	vol	NOUN
fuelectenerg-13520	412	35	.	.	PROPN
fuelectenerg-13520	412	36	170	170	NUM
fuelectenerg-13520	412	37	,	,	PUNCT
fuelectenerg-13520	412	38	no	no	INTJ
fuelectenerg-13520	412	39	.	.	NOUN
fuelectenerg-13520	412	40	10	10	NUM
fuelectenerg-13520	412	41	,	,	PUNCT
fuelectenerg-13520	412	42	p.	p.	NOUN
fuelectenerg-13520	412	43	154851	154851	NUM
fuelectenerg-13520	412	44	,	,	PUNCT
fuelectenerg-13520	412	45	2023	2023	NUM
fuelectenerg-13520	412	46	,	,	PUNCT
fuelectenerg-13520	412	47	doi:10.1016	doi:10.1016	PROPN
fuelectenerg-13520	412	48	/	/	SYM
fuelectenerg-13520	412	49	j.aeue.2023.154851	j.aeue.2023.154851	PROPN
fuelectenerg-13520	412	50	.	.	PUNCT
fuelectenerg-13520	413	1	[	[	X
fuelectenerg-13520	413	2	4	4	X
fuelectenerg-13520	413	3	]	]	X
fuelectenerg-13520	413	4	n.	n.	NOUN
fuelectenerg-13520	413	5	stojanović	stojanović	PROPN
fuelectenerg-13520	413	6	,	,	PUNCT
fuelectenerg-13520	413	7	i.	i.	PROPN
fuelectenerg-13520	413	8	krstić	krstić	PROPN
fuelectenerg-13520	413	9	,	,	PUNCT
fuelectenerg-13520	413	10	and	and	CCONJ
fuelectenerg-13520	413	11	n.	n.	PROPN
fuelectenerg-13520	413	12	stamenković	stamenković	PROPN
fuelectenerg-13520	413	13	,	,	PUNCT
fuelectenerg-13520	413	14	“	"	PUNCT
fuelectenerg-13520	413	15	performance	performance	NOUN
fuelectenerg-13520	413	16	analysis	analysis	NOUN
fuelectenerg-13520	413	17	of	of	ADP
fuelectenerg-13520	413	18	optimum	optimum	ADJ
fuelectenerg-13520	413	19	chebyshev	chebyshev	NOUN
fuelectenerg-13520	413	20	filters	filter	NOUN
fuelectenerg-13520	413	21	at	at	ADP
fuelectenerg-13520	413	22	microwave	microwave	NOUN
fuelectenerg-13520	413	23	frequencies	frequency	NOUN
fuelectenerg-13520	413	24	,	,	PUNCT
fuelectenerg-13520	413	25	”	"	PUNCT
fuelectenerg-13520	413	26	aeu	aeu	PROPN
fuelectenerg-13520	413	27	international	international	ADJ
fuelectenerg-13520	413	28	journal	journal	NOUN
fuelectenerg-13520	413	29	of	of	ADP
fuelectenerg-13520	413	30	electronics	electronic	NOUN
fuelectenerg-13520	413	31	and	and	CCONJ
fuelectenerg-13520	413	32	communications	communication	NOUN
fuelectenerg-13520	413	33	,	,	PUNCT
fuelectenerg-13520	413	34	vol	vol	NOUN
fuelectenerg-13520	413	35	.	.	PROPN
fuelectenerg-13520	413	36	187	187	NUM
fuelectenerg-13520	413	37	,	,	PUNCT
fuelectenerg-13520	413	38	no	no	INTJ
fuelectenerg-13520	413	39	.	.	NOUN
fuelectenerg-13520	413	40	12	12	NUM
fuelectenerg-13520	413	41	,	,	PUNCT
fuelectenerg-13520	413	42	p.	p.	NOUN
fuelectenerg-13520	413	43	155502	155502	NUM
fuelectenerg-13520	413	44	,	,	PUNCT
fuelectenerg-13520	413	45	2024	2024	NUM
fuelectenerg-13520	413	46	,	,	PUNCT
fuelectenerg-13520	413	47	doi:10.1016	doi:10.1016	PROPN
fuelectenerg-13520	413	48	/	/	SYM
fuelectenerg-13520	413	49	j.aeue.2024.155502	j.aeue.2024.155502	PROPN
fuelectenerg-13520	413	50	.	.	PUNCT
fuelectenerg-13520	414	1	[	[	X
fuelectenerg-13520	414	2	5	5	NUM
fuelectenerg-13520	414	3	]	]	PUNCT
fuelectenerg-13520	414	4	m.	m.	NOUN
fuelectenerg-13520	414	5	agarwal	agarwal	PROPN
fuelectenerg-13520	414	6	and	and	CCONJ
fuelectenerg-13520	414	7	a.	a.	NOUN
fuelectenerg-13520	414	8	sedra	sedra	PROPN
fuelectenerg-13520	414	9	,	,	PUNCT
fuelectenerg-13520	414	10	“	"	PUNCT
fuelectenerg-13520	414	11	on	on	ADP
fuelectenerg-13520	414	12	designing	design	VERB
fuelectenerg-13520	414	13	sharp	sharp	ADJ
fuelectenerg-13520	414	14	cutoff	cutoff	NOUN
fuelectenerg-13520	414	15	low	low	ADJ
fuelectenerg-13520	414	16	-	-	PUNCT
fuelectenerg-13520	414	17	pass	pass	NOUN
fuelectenerg-13520	414	18	filters	filter	NOUN
fuelectenerg-13520	414	19	,	,	PUNCT
fuelectenerg-13520	414	20	”	"	PUNCT
fuelectenerg-13520	414	21	ieee	ieee	NOUN
fuelectenerg-13520	414	22	transactions	transaction	NOUN
fuelectenerg-13520	414	23	on	on	ADP
fuelectenerg-13520	414	24	audio	audio	NOUN
fuelectenerg-13520	414	25	and	and	CCONJ
fuelectenerg-13520	414	26	electroacoustics	electroacoustic	NOUN
fuelectenerg-13520	414	27	,	,	PUNCT
fuelectenerg-13520	414	28	vol	vol	NOUN
fuelectenerg-13520	414	29	.	.	PROPN
fuelectenerg-13520	414	30	20	20	NUM
fuelectenerg-13520	414	31	,	,	PUNCT
fuelectenerg-13520	414	32	no	no	INTJ
fuelectenerg-13520	414	33	.	.	NOUN
fuelectenerg-13520	414	34	2	2	NUM
fuelectenerg-13520	414	35	,	,	PUNCT
fuelectenerg-13520	414	36	pp	pp	ADJ
fuelectenerg-13520	414	37	.	.	PUNCT
fuelectenerg-13520	415	1	138–141	138–141	NUM
fuelectenerg-13520	415	2	,	,	PUNCT
fuelectenerg-13520	415	3	jun	jun	PROPN
fuelectenerg-13520	415	4	.	.	PROPN
fuelectenerg-13520	415	5	1972	1972	NUM
fuelectenerg-13520	415	6	,	,	PUNCT
fuelectenerg-13520	415	7	doi:10.1109	doi:10.1109	VERB
fuelectenerg-13520	415	8	/	/	SYM
fuelectenerg-13520	415	9	tau.1972.1162359	tau.1972.1162359	NOUN
fuelectenerg-13520	415	10	.	.	PUNCT
fuelectenerg-13520	416	1	optimum	optimum	ADJ
fuelectenerg-13520	416	2	chebyshev	chebyshev	PROPN
fuelectenerg-13520	416	3	lowpass	lowpass	NOUN
fuelectenerg-13520	416	4	filter	filter	NOUN
fuelectenerg-13520	416	5	with	with	ADP
fuelectenerg-13520	416	6	a	a	DET
fuelectenerg-13520	416	7	pair	pair	NOUN
fuelectenerg-13520	416	8	of	of	ADP
fuelectenerg-13520	416	9	imaginary	imaginary	ADJ
fuelectenerg-13520	416	10	-	-	PUNCT
fuelectenerg-13520	416	11	axis	axis	NOUN
fuelectenerg-13520	416	12	zeros	zero	NOUN
fuelectenerg-13520	416	13	111	111	NUM
fuelectenerg-13520	416	14	[	[	X
fuelectenerg-13520	416	15	6	6	NUM
fuelectenerg-13520	416	16	]	]	PUNCT
fuelectenerg-13520	416	17	s.	s.	PROPN
fuelectenerg-13520	416	18	d.	d.	PROPN
fuelectenerg-13520	416	19	roy	roy	PROPN
fuelectenerg-13520	416	20	and	and	CCONJ
fuelectenerg-13520	416	21	p.	p.	PROPN
fuelectenerg-13520	416	22	clark	clark	PROPN
fuelectenerg-13520	416	23	,	,	PUNCT
fuelectenerg-13520	416	24	“	"	PUNCT
fuelectenerg-13520	416	25	design	design	NOUN
fuelectenerg-13520	416	26	of	of	ADP
fuelectenerg-13520	416	27	sharp	sharp	ADJ
fuelectenerg-13520	416	28	-	-	PUNCT
fuelectenerg-13520	416	29	cut	cut	VERB
fuelectenerg-13520	416	30	-	-	PUNCT
fuelectenerg-13520	416	31	off	off	ADP
fuelectenerg-13520	416	32	low	low	ADJ
fuelectenerg-13520	416	33	-	-	PUNCT
fuelectenerg-13520	416	34	pass	pass	NOUN
fuelectenerg-13520	416	35	filters	filter	NOUN
fuelectenerg-13520	416	36	with	with	ADP
fuelectenerg-13520	416	37	ripples	ripple	NOUN
fuelectenerg-13520	416	38	in	in	ADP
fuelectenerg-13520	416	39	the	the	DET
fuelectenerg-13520	416	40	pass	pass	NOUN
fuelectenerg-13520	416	41	-	-	PUNCT
fuelectenerg-13520	416	42	band	band	NOUN
fuelectenerg-13520	416	43	,	,	PUNCT
fuelectenerg-13520	416	44	”	"	PUNCT
fuelectenerg-13520	416	45	radio	radio	NOUN
fuelectenerg-13520	416	46	and	and	CCONJ
fuelectenerg-13520	416	47	electronic	electronic	ADJ
fuelectenerg-13520	416	48	engineer	engineer	NOUN
fuelectenerg-13520	416	49	,	,	PUNCT
fuelectenerg-13520	416	50	vol	vol	NOUN
fuelectenerg-13520	416	51	.	.	PROPN
fuelectenerg-13520	417	1	45	45	NUM
fuelectenerg-13520	417	2	,	,	PUNCT
fuelectenerg-13520	417	3	pp	pp	ADJ
fuelectenerg-13520	417	4	.	.	PUNCT
fuelectenerg-13520	418	1	293–298(5	293–298(5	X
fuelectenerg-13520	418	2	)	)	PUNCT
fuelectenerg-13520	418	3	,	,	PUNCT
fuelectenerg-13520	418	4	jun	jun	PROPN
fuelectenerg-13520	418	5	.	.	PROPN
fuelectenerg-13520	418	6	1975	1975	NUM
fuelectenerg-13520	418	7	,	,	PUNCT
fuelectenerg-13520	418	8	doi:10.1049	doi:10.1049	PROPN
fuelectenerg-13520	418	9	/	/	SYM
fuelectenerg-13520	418	10	ree.1975.0054	ree.1975.0054	PROPN
fuelectenerg-13520	418	11	.	.	PUNCT
fuelectenerg-13520	419	1	[	[	X
fuelectenerg-13520	419	2	7	7	X
fuelectenerg-13520	419	3	]	]	X
fuelectenerg-13520	419	4	m.	m.	NOUN
fuelectenerg-13520	419	5	v.	v.	ADP
fuelectenerg-13520	419	6	andrejević	andrejević	PROPN
fuelectenerg-13520	419	7	stošović	stošović	PROPN
fuelectenerg-13520	419	8	,	,	PUNCT
fuelectenerg-13520	419	9	j.	j.	PROPN
fuelectenerg-13520	419	10	m.	m.	PROPN
fuelectenerg-13520	419	11	živanić	živanić	PROPN
fuelectenerg-13520	419	12	,	,	PUNCT
fuelectenerg-13520	419	13	and	and	CCONJ
fuelectenerg-13520	419	14	v.	v.	PROPN
fuelectenerg-13520	419	15	b.	b.	PROPN
fuelectenerg-13520	419	16	litovski	litovski	PROPN
fuelectenerg-13520	419	17	,	,	PUNCT
fuelectenerg-13520	419	18	“	"	PUNCT
fuelectenerg-13520	419	19	maximally	maximally	ADV
fuelectenerg-13520	419	20	flat	flat	ADJ
fuelectenerg-13520	419	21	filter	filter	NOUN
fuelectenerg-13520	419	22	functions	function	NOUN
fuelectenerg-13520	419	23	with	with	ADP
fuelectenerg-13520	419	24	the	the	DET
fuelectenerg-13520	419	25	maximum	maximum	ADJ
fuelectenerg-13520	419	26	number	number	NOUN
fuelectenerg-13520	419	27	of	of	ADP
fuelectenerg-13520	419	28	transmission	transmission	NOUN
fuelectenerg-13520	419	29	zeros	zero	NOUN
fuelectenerg-13520	419	30	having	have	VERB
fuelectenerg-13520	419	31	maximal	maximal	ADJ
fuelectenerg-13520	419	32	multiplicity	multiplicity	NOUN
fuelectenerg-13520	419	33	,	,	PUNCT
fuelectenerg-13520	419	34	”	"	PUNCT
fuelectenerg-13520	419	35	ieee	ieee	NOUN
fuelectenerg-13520	419	36	transactions	transaction	NOUN
fuelectenerg-13520	419	37	on	on	ADP
fuelectenerg-13520	419	38	circuits	circuit	NOUN
fuelectenerg-13520	419	39	and	and	CCONJ
fuelectenerg-13520	419	40	systems	system	NOUN
fuelectenerg-13520	419	41	ii	ii	PROPN
fuelectenerg-13520	419	42	:	:	PUNCT
fuelectenerg-13520	419	43	express	express	VERB
fuelectenerg-13520	419	44	briefs	brief	NOUN
fuelectenerg-13520	419	45	,	,	PUNCT
fuelectenerg-13520	419	46	vol	vol	NOUN
fuelectenerg-13520	419	47	.	.	PROPN
fuelectenerg-13520	419	48	61	61	NUM
fuelectenerg-13520	419	49	,	,	PUNCT
fuelectenerg-13520	419	50	no	no	INTJ
fuelectenerg-13520	419	51	.	.	NOUN
fuelectenerg-13520	419	52	10	10	NUM
fuelectenerg-13520	419	53	,	,	PUNCT
fuelectenerg-13520	419	54	pp	pp	ADJ
fuelectenerg-13520	419	55	.	.	PUNCT
fuelectenerg-13520	420	1	778–782	778–782	NUM
fuelectenerg-13520	420	2	,	,	PUNCT
fuelectenerg-13520	420	3	2014	2014	NUM
fuelectenerg-13520	420	4	,	,	PUNCT
fuelectenerg-13520	420	5	doi:10.1109	doi:10.1109	VERB
fuelectenerg-13520	420	6	/	/	SYM
fuelectenerg-13520	420	7	tcsii.2014.2345300	tcsii.2014.2345300	NUM
fuelectenerg-13520	420	8	.	.	PUNCT
fuelectenerg-13520	421	1	[	[	X
fuelectenerg-13520	421	2	8	8	NUM
fuelectenerg-13520	421	3	]	]	X
fuelectenerg-13520	421	4	n.	n.	NOUN
fuelectenerg-13520	421	5	stojanović	stojanović	ADJ
fuelectenerg-13520	421	6	,	,	PUNCT
fuelectenerg-13520	421	7	n.	n.	NOUN
fuelectenerg-13520	421	8	stamenković	stamenković	NOUN
fuelectenerg-13520	421	9	,	,	PUNCT
fuelectenerg-13520	421	10	and	and	CCONJ
fuelectenerg-13520	421	11	i.	i.	PROPN
fuelectenerg-13520	421	12	krstić	krstić	PROPN
fuelectenerg-13520	421	13	,	,	PUNCT
fuelectenerg-13520	421	14	“	"	PUNCT
fuelectenerg-13520	421	15	design	design	NOUN
fuelectenerg-13520	421	16	of	of	ADP
fuelectenerg-13520	421	17	modified	modify	VERB
fuelectenerg-13520	421	18	jacobi	jacobi	PROPN
fuelectenerg-13520	421	19	microstrip	microstrip	PROPN
fuelectenerg-13520	421	20	lowpass	lowpas	VERB
fuelectenerg-13520	421	21	filter	filter	NOUN
fuelectenerg-13520	421	22	for	for	ADP
fuelectenerg-13520	421	23	l	l	NOUN
fuelectenerg-13520	421	24	-	-	NOUN
fuelectenerg-13520	421	25	band	band	NOUN
fuelectenerg-13520	421	26	application	application	NOUN
fuelectenerg-13520	421	27	,	,	PUNCT
fuelectenerg-13520	421	28	”	"	PUNCT
fuelectenerg-13520	421	29	ieee	ieee	NOUN
fuelectenerg-13520	421	30	trans	tran	NOUN
fuelectenerg-13520	421	31	.	.	PUNCT
fuelectenerg-13520	422	1	on	on	ADP
fuelectenerg-13520	422	2	circuits	circuit	NOUN
fuelectenerg-13520	422	3	and	and	CCONJ
fuelectenerg-13520	422	4	systems	system	NOUN
fuelectenerg-13520	422	5	ii	ii	PROPN
fuelectenerg-13520	422	6	:	:	PUNCT
fuelectenerg-13520	422	7	express	express	VERB
fuelectenerg-13520	422	8	briefs	brief	NOUN
fuelectenerg-13520	422	9	,	,	PUNCT
fuelectenerg-13520	422	10	vol	vol	NOUN
fuelectenerg-13520	422	11	.	.	PROPN
fuelectenerg-13520	422	12	69	69	NUM
fuelectenerg-13520	422	13	,	,	PUNCT
fuelectenerg-13520	422	14	no	no	INTJ
fuelectenerg-13520	422	15	.	.	NOUN
fuelectenerg-13520	422	16	12	12	NUM
fuelectenerg-13520	422	17	,	,	PUNCT
fuelectenerg-13520	422	18	pp	pp	ADJ
fuelectenerg-13520	422	19	.	.	PUNCT
fuelectenerg-13520	423	1	5154–5158	5154–5158	NUM
fuelectenerg-13520	423	2	,	,	PUNCT
fuelectenerg-13520	423	3	2022	2022	NUM
fuelectenerg-13520	423	4	,	,	PUNCT
fuelectenerg-13520	423	5	doi:10.1109	doi:10.1109	ADJ
fuelectenerg-13520	423	6	/	/	SYM
fuelectenerg-13520	423	7	tcsii.2022.3199076	tcsii.2022.3199076	NOUN
fuelectenerg-13520	423	8	.	.	PUNCT
fuelectenerg-13520	424	1	[	[	X
fuelectenerg-13520	424	2	9	9	NUM
fuelectenerg-13520	424	3	]	]	X
fuelectenerg-13520	424	4	r.	r.	PROPN
fuelectenerg-13520	424	5	cameron	cameron	PROPN
fuelectenerg-13520	424	6	,	,	PUNCT
fuelectenerg-13520	424	7	“	"	PUNCT
fuelectenerg-13520	424	8	general	general	ADJ
fuelectenerg-13520	424	9	coupling	coupling	NOUN
fuelectenerg-13520	424	10	matrix	matrix	NOUN
fuelectenerg-13520	424	11	synthesis	synthesis	NOUN
fuelectenerg-13520	424	12	methods	method	NOUN
fuelectenerg-13520	424	13	for	for	ADP
fuelectenerg-13520	424	14	chebyshev	chebyshev	NOUN
fuelectenerg-13520	424	15	filtering	filtering	NOUN
fuelectenerg-13520	424	16	functions	function	NOUN
fuelectenerg-13520	424	17	,	,	PUNCT
fuelectenerg-13520	424	18	”	"	PUNCT
fuelectenerg-13520	424	19	ieee	ieee	NOUN
fuelectenerg-13520	424	20	transactions	transaction	NOUN
fuelectenerg-13520	424	21	on	on	ADP
fuelectenerg-13520	424	22	microwave	microwave	NOUN
fuelectenerg-13520	424	23	theory	theory	NOUN
fuelectenerg-13520	424	24	and	and	CCONJ
fuelectenerg-13520	424	25	techniques	technique	NOUN
fuelectenerg-13520	424	26	,	,	PUNCT
fuelectenerg-13520	424	27	vol	vol	NOUN
fuelectenerg-13520	424	28	.	.	PROPN
fuelectenerg-13520	425	1	47	47	NUM
fuelectenerg-13520	425	2	,	,	PUNCT
fuelectenerg-13520	425	3	no	no	INTJ
fuelectenerg-13520	425	4	.	.	NOUN
fuelectenerg-13520	425	5	4	4	NUM
fuelectenerg-13520	425	6	,	,	PUNCT
fuelectenerg-13520	425	7	pp	pp	ADJ
fuelectenerg-13520	425	8	.	.	PUNCT
fuelectenerg-13520	426	1	433–442	433–442	NUM
fuelectenerg-13520	426	2	,	,	PUNCT
fuelectenerg-13520	426	3	apr	apr	PROPN
fuelectenerg-13520	426	4	.	.	PROPN
fuelectenerg-13520	426	5	1999	1999	NUM
fuelectenerg-13520	426	6	,	,	PUNCT
fuelectenerg-13520	426	7	doi:10.1109/22.754877	doi:10.1109/22.754877	PROPN
fuelectenerg-13520	426	8	.	.	PUNCT
fuelectenerg-13520	427	1	[	[	X
fuelectenerg-13520	427	2	10	10	NUM
fuelectenerg-13520	427	3	]	]	PUNCT
fuelectenerg-13520	427	4	z.	z.	PROPN
fuelectenerg-13520	427	5	d.	d.	PROPN
fuelectenerg-13520	427	6	milosavljević	milosavljević	PROPN
fuelectenerg-13520	427	7	and	and	CCONJ
fuelectenerg-13520	427	8	m.	m.	NOUN
fuelectenerg-13520	427	9	v.	v.	ADP
fuelectenerg-13520	427	10	gmitrović	gmitrović	NOUN
fuelectenerg-13520	427	11	,	,	PUNCT
fuelectenerg-13520	427	12	“	"	PUNCT
fuelectenerg-13520	427	13	realizable	realizable	ADJ
fuelectenerg-13520	427	14	bandpass	bandpass	NOUN
fuelectenerg-13520	427	15	filter	filter	NOUN
fuelectenerg-13520	427	16	structures	structure	NOUN
fuelectenerg-13520	427	17	with	with	ADP
fuelectenerg-13520	427	18	optimal	optimal	ADJ
fuelectenerg-13520	427	19	redundancy	redundancy	NOUN
fuelectenerg-13520	427	20	parameters	parameter	NOUN
fuelectenerg-13520	427	21	,	,	PUNCT
fuelectenerg-13520	427	22	”	"	PUNCT
fuelectenerg-13520	427	23	facta	facta	PROPN
fuelectenerg-13520	427	24	univ	univ	PROPN
fuelectenerg-13520	427	25	.	.	PUNCT
fuelectenerg-13520	428	1	ser	ser	PROPN
fuelectenerg-13520	428	2	.	.	PUNCT
fuelectenerg-13520	429	1	elect	elect	PROPN
fuelectenerg-13520	429	2	.	.	PUNCT
fuelectenerg-13520	430	1	energet	energet	NOUN
fuelectenerg-13520	430	2	.	.	PUNCT
fuelectenerg-13520	430	3	,	,	PUNCT
fuelectenerg-13520	430	4	vol	vol	NOUN
fuelectenerg-13520	430	5	.	.	PROPN
fuelectenerg-13520	430	6	13	13	NUM
fuelectenerg-13520	430	7	,	,	PUNCT
fuelectenerg-13520	430	8	no	no	INTJ
fuelectenerg-13520	430	9	.	.	NOUN
fuelectenerg-13520	430	10	1	1	NUM
fuelectenerg-13520	430	11	,	,	PUNCT
fuelectenerg-13520	430	12	p.	p.	NOUN
fuelectenerg-13520	430	13	131–141	131–141	NUM
fuelectenerg-13520	430	14	,	,	PUNCT
fuelectenerg-13520	430	15	apr	apr	PROPN
fuelectenerg-13520	430	16	.	.	PROPN
fuelectenerg-13520	430	17	2000	2000	NUM
fuelectenerg-13520	430	18	.	.	PUNCT
fuelectenerg-13520	431	1	[	[	X
fuelectenerg-13520	431	2	11	11	NUM
fuelectenerg-13520	431	3	]	]	PUNCT
fuelectenerg-13520	431	4	j.	j.	PROPN
fuelectenerg-13520	431	5	lee	lee	PROPN
fuelectenerg-13520	431	6	and	and	CCONJ
fuelectenerg-13520	431	7	k.	k.	PROPN
fuelectenerg-13520	431	8	sarabandi	sarabandi	PROPN
fuelectenerg-13520	431	9	,	,	PUNCT
fuelectenerg-13520	431	10	“	"	PUNCT
fuelectenerg-13520	431	11	a	a	DET
fuelectenerg-13520	431	12	synthesis	synthesis	NOUN
fuelectenerg-13520	431	13	method	method	NOUN
fuelectenerg-13520	431	14	for	for	ADP
fuelectenerg-13520	431	15	dual	dual	ADJ
fuelectenerg-13520	431	16	-	-	PUNCT
fuelectenerg-13520	431	17	passband	passband	NOUN
fuelectenerg-13520	431	18	microwave	microwave	NOUN
fuelectenerg-13520	431	19	filters	filter	NOUN
fuelectenerg-13520	431	20	,	,	PUNCT
fuelectenerg-13520	431	21	”	"	PUNCT
fuelectenerg-13520	431	22	ieee	ieee	NOUN
fuelectenerg-13520	431	23	transactions	transaction	NOUN
fuelectenerg-13520	431	24	on	on	ADP
fuelectenerg-13520	431	25	microwave	microwave	NOUN
fuelectenerg-13520	431	26	theory	theory	NOUN
fuelectenerg-13520	431	27	and	and	CCONJ
fuelectenerg-13520	431	28	techniques	technique	NOUN
fuelectenerg-13520	431	29	,	,	PUNCT
fuelectenerg-13520	431	30	vol	vol	NOUN
fuelectenerg-13520	431	31	.	.	PROPN
fuelectenerg-13520	432	1	55	55	NUM
fuelectenerg-13520	432	2	,	,	PUNCT
fuelectenerg-13520	432	3	no	no	INTJ
fuelectenerg-13520	432	4	.	.	NOUN
fuelectenerg-13520	432	5	6	6	NUM
fuelectenerg-13520	432	6	,	,	PUNCT
fuelectenerg-13520	432	7	pp	pp	ADJ
fuelectenerg-13520	432	8	.	.	PUNCT
fuelectenerg-13520	433	1	1163–1170	1163–1170	NUM
fuelectenerg-13520	433	2	,	,	PUNCT
fuelectenerg-13520	433	3	jun	jun	PROPN
fuelectenerg-13520	433	4	.	.	PROPN
fuelectenerg-13520	433	5	2007	2007	NUM
fuelectenerg-13520	433	6	,	,	PUNCT
fuelectenerg-13520	433	7	doi:10.1109	doi:10.1109	ADJ
fuelectenerg-13520	433	8	/	/	SYM
fuelectenerg-13520	433	9	tmtt.2007.897712	tmtt.2007.897712	NOUN
fuelectenerg-13520	433	10	.	.	PUNCT
fuelectenerg-13520	434	1	[	[	X
fuelectenerg-13520	434	2	12	12	NUM
fuelectenerg-13520	434	3	]	]	X
fuelectenerg-13520	434	4	q.-x	q.-x	PROPN
fuelectenerg-13520	434	5	.	.	PUNCT
fuelectenerg-13520	434	6	chu	chu	PROPN
fuelectenerg-13520	434	7	and	and	CCONJ
fuelectenerg-13520	434	8	z.-h	z.-h	NOUN
fuelectenerg-13520	434	9	.	.	PUNCT
fuelectenerg-13520	435	1	tu	tu	PROPN
fuelectenerg-13520	435	2	,	,	PUNCT
fuelectenerg-13520	435	3	“	"	PUNCT
fuelectenerg-13520	435	4	a	a	DET
fuelectenerg-13520	435	5	novel	novel	ADJ
fuelectenerg-13520	435	6	method	method	NOUN
fuelectenerg-13520	435	7	to	to	PART
fuelectenerg-13520	435	8	determine	determine	VERB
fuelectenerg-13520	435	9	general	general	ADJ
fuelectenerg-13520	435	10	chebyshev	chebyshev	PROPN
fuelectenerg-13520	435	11	filters	filter	NOUN
fuelectenerg-13520	435	12	transmission	transmission	NOUN
fuelectenerg-13520	435	13	zeroes	zero	NOUN
fuelectenerg-13520	435	14	,	,	PUNCT
fuelectenerg-13520	435	15	”	"	PUNCT
fuelectenerg-13520	435	16	microwave	microwave	NOUN
fuelectenerg-13520	435	17	and	and	CCONJ
fuelectenerg-13520	435	18	optical	optical	ADJ
fuelectenerg-13520	435	19	technology	technology	NOUN
fuelectenerg-13520	435	20	letters	letter	NOUN
fuelectenerg-13520	435	21	,	,	PUNCT
fuelectenerg-13520	435	22	vol	vol	NOUN
fuelectenerg-13520	435	23	.	.	PROPN
fuelectenerg-13520	435	24	49	49	NUM
fuelectenerg-13520	435	25	,	,	PUNCT
fuelectenerg-13520	435	26	no	no	INTJ
fuelectenerg-13520	435	27	.	.	NOUN
fuelectenerg-13520	435	28	11	11	NUM
fuelectenerg-13520	435	29	,	,	PUNCT
fuelectenerg-13520	435	30	pp	pp	ADJ
fuelectenerg-13520	435	31	.	.	PUNCT
fuelectenerg-13520	436	1	2849–2853	2849–2853	NUM
fuelectenerg-13520	436	2	,	,	PUNCT
fuelectenerg-13520	436	3	nov	nov	PROPN
fuelectenerg-13520	436	4	.	.	PROPN
fuelectenerg-13520	436	5	2007	2007	NUM
fuelectenerg-13520	436	6	,	,	PUNCT
fuelectenerg-13520	436	7	doi:10.1002	doi:10.1002	NOUN
fuelectenerg-13520	436	8	/	/	SYM
fuelectenerg-13520	436	9	mop.22832	mop.22832	NOUN
fuelectenerg-13520	436	10	.	.	PUNCT
fuelectenerg-13520	437	1	[	[	X
fuelectenerg-13520	437	2	13	13	NUM
fuelectenerg-13520	437	3	]	]	PUNCT
fuelectenerg-13520	437	4	j.-t	j.-t	NOUN
fuelectenerg-13520	437	5	.	.	PUNCT
fuelectenerg-13520	438	1	kuo	kuo	PROPN
fuelectenerg-13520	438	2	,	,	PUNCT
fuelectenerg-13520	438	3	c.-c	c.-c	PROPN
fuelectenerg-13520	438	4	.	.	PUNCT
fuelectenerg-13520	439	1	wang	wang	PROPN
fuelectenerg-13520	439	2	,	,	PUNCT
fuelectenerg-13520	439	3	c.-h	c.-h	PROPN
fuelectenerg-13520	439	4	.	.	PUNCT
fuelectenerg-13520	440	1	lin	lin	PROPN
fuelectenerg-13520	440	2	,	,	PUNCT
fuelectenerg-13520	440	3	and	and	CCONJ
fuelectenerg-13520	440	4	p.	p.	NOUN
fuelectenerg-13520	440	5	a.	a.	NOUN
fuelectenerg-13520	440	6	williams	williams	PROPN
fuelectenerg-13520	440	7	,	,	PUNCT
fuelectenerg-13520	440	8	“	"	PUNCT
fuelectenerg-13520	440	9	generalized	generalized	ADJ
fuelectenerg-13520	440	10	chebyshev	chebyshev	NOUN
fuelectenerg-13520	440	11	function	function	NOUN
fuelectenerg-13520	440	12	of	of	ADP
fuelectenerg-13520	440	13	arbitrary	arbitrary	ADJ
fuelectenerg-13520	440	14	order	order	NOUN
fuelectenerg-13520	440	15	with	with	ADP
fuelectenerg-13520	440	16	real	real	ADJ
fuelectenerg-13520	440	17	-	-	PUNCT
fuelectenerg-13520	440	18	frequency	frequency	NOUN
fuelectenerg-13520	440	19	zero	zero	NUM
fuelectenerg-13520	440	20	pairs	pair	NOUN
fuelectenerg-13520	440	21	in	in	ADP
fuelectenerg-13520	440	22	an	an	DET
fuelectenerg-13520	440	23	explicit	explicit	ADJ
fuelectenerg-13520	440	24	rational	rational	ADJ
fuelectenerg-13520	440	25	polynomial	polynomial	ADJ
fuelectenerg-13520	440	26	expression	expression	NOUN
fuelectenerg-13520	440	27	,	,	PUNCT
fuelectenerg-13520	440	28	”	"	PUNCT
fuelectenerg-13520	440	29	in	in	ADP
fuelectenerg-13520	440	30	2023	2023	NUM
fuelectenerg-13520	440	31	asia	asia	PROPN
fuelectenerg-13520	440	32	-	-	PUNCT
fuelectenerg-13520	440	33	pacific	pacific	PROPN
fuelectenerg-13520	440	34	microwave	microwave	PROPN
fuelectenerg-13520	440	35	conference	conference	PROPN
fuelectenerg-13520	440	36	(	(	PUNCT
fuelectenerg-13520	440	37	apmc	apmc	NOUN
fuelectenerg-13520	440	38	)	)	PUNCT
fuelectenerg-13520	440	39	,	,	PUNCT
fuelectenerg-13520	440	40	dec	dec	PROPN
fuelectenerg-13520	440	41	.	.	PROPN
fuelectenerg-13520	440	42	5	5	NUM
fuelectenerg-13520	440	43	8	8	NUM
fuelectenerg-13520	440	44	,	,	PUNCT
fuelectenerg-13520	440	45	2023	2023	NUM
fuelectenerg-13520	440	46	,	,	PUNCT
fuelectenerg-13520	440	47	pp	pp	ADJ
fuelectenerg-13520	440	48	.	.	PUNCT
fuelectenerg-13520	441	1	147–149	147–149	NUM
fuelectenerg-13520	441	2	,	,	PUNCT
fuelectenerg-13520	441	3	doi:10.1109	doi:10.1109	ADJ
fuelectenerg-13520	441	4	/	/	SYM
fuelectenerg-13520	441	5	apmc57107.2023.10439929	apmc57107.2023.10439929	PROPN
fuelectenerg-13520	441	6	.	.	PUNCT
fuelectenerg-13520	442	1	[	[	X
fuelectenerg-13520	442	2	14	14	NUM
fuelectenerg-13520	442	3	]	]	X
fuelectenerg-13520	442	4	r.	r.	PROPN
fuelectenerg-13520	442	5	j.	j.	PROPN
fuelectenerg-13520	442	6	cameron	cameron	PROPN
fuelectenerg-13520	442	7	,	,	PUNCT
fuelectenerg-13520	442	8	c.	c.	PROPN
fuelectenerg-13520	442	9	m.	m.	PROPN
fuelectenerg-13520	442	10	kudsia	kudsia	PROPN
fuelectenerg-13520	442	11	,	,	PUNCT
fuelectenerg-13520	442	12	and	and	CCONJ
fuelectenerg-13520	442	13	r.	r.	PROPN
fuelectenerg-13520	442	14	r.	r.	PROPN
fuelectenerg-13520	442	15	mansour	mansour	PROPN
fuelectenerg-13520	442	16	,	,	PUNCT
fuelectenerg-13520	442	17	microwave	microwave	NOUN
fuelectenerg-13520	442	18	filters	filter	NOUN
fuelectenerg-13520	442	19	for	for	ADP
fuelectenerg-13520	442	20	communication	communication	NOUN
fuelectenerg-13520	442	21	systems	system	NOUN
fuelectenerg-13520	442	22	:	:	PUNCT
fuelectenerg-13520	442	23	fundamentals	fundamental	NOUN
fuelectenerg-13520	442	24	,	,	PUNCT
fuelectenerg-13520	442	25	design	design	NOUN
fuelectenerg-13520	442	26	,	,	PUNCT
fuelectenerg-13520	442	27	and	and	CCONJ
fuelectenerg-13520	442	28	applications	application	NOUN
fuelectenerg-13520	442	29	.	.	PUNCT
fuelectenerg-13520	443	1	john	john	PROPN
fuelectenerg-13520	443	2	wiley	wiley	PROPN
fuelectenerg-13520	443	3	&	&	CCONJ
fuelectenerg-13520	443	4	sons	son	NOUN
fuelectenerg-13520	443	5	,	,	PUNCT
fuelectenerg-13520	443	6	2018	2018	NUM
fuelectenerg-13520	443	7	.	.	PUNCT
fuelectenerg-13520	444	1	[	[	X
fuelectenerg-13520	444	2	15	15	NUM
fuelectenerg-13520	444	3	]	]	X
fuelectenerg-13520	444	4	z.	z.	PROPN
fuelectenerg-13520	444	5	milosavljević	milosavljević	PROPN
fuelectenerg-13520	444	6	,	,	PUNCT
fuelectenerg-13520	444	7	“	"	PUNCT
fuelectenerg-13520	444	8	design	design	NOUN
fuelectenerg-13520	444	9	of	of	ADP
fuelectenerg-13520	444	10	generalized	generalized	ADJ
fuelectenerg-13520	444	11	chebyshev	chebyshev	NOUN
fuelectenerg-13520	444	12	filters	filter	NOUN
fuelectenerg-13520	444	13	with	with	ADP
fuelectenerg-13520	444	14	asymmetrically	asymmetrically	ADV
fuelectenerg-13520	444	15	located	locate	VERB
fuelectenerg-13520	444	16	transmission	transmission	NOUN
fuelectenerg-13520	444	17	zeros	zero	NOUN
fuelectenerg-13520	444	18	,	,	PUNCT
fuelectenerg-13520	444	19	”	"	PUNCT
fuelectenerg-13520	444	20	ieee	ieee	NOUN
fuelectenerg-13520	444	21	transactions	transaction	NOUN
fuelectenerg-13520	444	22	on	on	ADP
fuelectenerg-13520	444	23	microwave	microwave	NOUN
fuelectenerg-13520	444	24	theory	theory	NOUN
fuelectenerg-13520	444	25	and	and	CCONJ
fuelectenerg-13520	444	26	techniques	technique	NOUN
fuelectenerg-13520	444	27	,	,	PUNCT
fuelectenerg-13520	444	28	vol	vol	NOUN
fuelectenerg-13520	444	29	.	.	PROPN
fuelectenerg-13520	445	1	53	53	NUM
fuelectenerg-13520	445	2	,	,	PUNCT
fuelectenerg-13520	445	3	no	no	INTJ
fuelectenerg-13520	445	4	.	.	NOUN
fuelectenerg-13520	445	5	7	7	NUM
fuelectenerg-13520	445	6	,	,	PUNCT
fuelectenerg-13520	445	7	pp	pp	ADJ
fuelectenerg-13520	445	8	.	.	PUNCT
fuelectenerg-13520	446	1	2411–2415	2411–2415	NUM
fuelectenerg-13520	446	2	,	,	PUNCT
fuelectenerg-13520	446	3	jul	jul	PROPN
fuelectenerg-13520	446	4	.	.	PROPN
fuelectenerg-13520	446	5	2005	2005	NUM
fuelectenerg-13520	446	6	,	,	PUNCT
fuelectenerg-13520	446	7	doi:10.1109	doi:10.1109	VERB
fuelectenerg-13520	446	8	/	/	SYM
fuelectenerg-13520	446	9	tmtt.2005.850430	tmtt.2005.850430	PROPN
fuelectenerg-13520	446	10	.	.	NOUN
fuelectenerg-13520	447	1	52	52	NUM
fuelectenerg-13520	447	2	n.	n.	NOUN
fuelectenerg-13520	447	3	stojanović	stojanović	PROPN
fuelectenerg-13520	447	4	,	,	PUNCT
fuelectenerg-13520	447	5	i.	i.	PROPN
fuelectenerg-13520	447	6	krstić	krstić	PROPN
fuelectenerg-13520	447	7	,	,	PUNCT
fuelectenerg-13520	447	8	n.	n.	PROPN
fuelectenerg-13520	447	9	stamenković	stamenković	VERB
fuelectenerg-13520	447	10	optimum	optimum	PROPN
fuelectenerg-13520	447	11	chebyshev	chebyshev	PROPN
fuelectenerg-13520	447	12	lowpass	lowpass	NOUN
fuelectenerg-13520	447	13	filter	filter	NOUN
fuelectenerg-13520	447	14	with	with	ADP
fuelectenerg-13520	447	15	a	a	DET
fuelectenerg-13520	447	16	pair	pair	NOUN
fuelectenerg-13520	447	17	of	of	ADP
fuelectenerg-13520	447	18	imaginary	imaginary	ADJ
fuelectenerg-13520	447	19	-	-	PUNCT
fuelectenerg-13520	447	20	axis	axis	NOUN
fuelectenerg-13520	447	21	zeros	zero	NOUN
fuelectenerg-13520	447	22	53	53	NUM