id	sid	tid	token	lemma	pos
ap-282	1	1	ap01_6.vp	ap01_6.vp	ADJ
ap-282	1	2	1	1	NUM
ap-282	1	3	envelope	envelope	NOUN
ap-282	1	4	analysis	analysis	NOUN
ap-282	1	5	envelope	envelope	NOUN
ap-282	1	6	analysis	analysis	NOUN
ap-282	1	7	is	be	AUX
ap-282	1	8	deeply	deeply	ADV
ap-282	1	9	connected	connect	VERB
ap-282	1	10	to	to	ADP
ap-282	1	11	the	the	DET
ap-282	1	12	hilbert	hilbert	NOUN
ap-282	1	13	transform	transform	NOUN
ap-282	1	14	[	[	X
ap-282	1	15	1	1	NUM
ap-282	1	16	]	]	PUNCT
ap-282	1	17	,	,	PUNCT
ap-282	1	18	[	[	X
ap-282	1	19	5	5	NUM
ap-282	1	20	]	]	PUNCT
ap-282	1	21	.	.	PUNCT
ap-282	2	1	the	the	DET
ap-282	2	2	hilbert	hilbert	PROPN
ap-282	2	3	transform	transform	NOUN
ap-282	2	4	of	of	ADP
ap-282	2	5	signal	signal	NOUN
ap-282	2	6	x(t	x(t	PROPN
ap-282	2	7	)	)	PUNCT
ap-282	2	8	is	be	AUX
ap-282	2	9	defined	define	VERB
ap-282	2	10	by	by	ADP
ap-282	2	11	the	the	DET
ap-282	2	12	following	follow	VERB
ap-282	2	13	equation	equation	NOUN
ap-282	2	14	�	�	PROPN
ap-282	2	15	�	�	PROPN
ap-282	2	16	�	�	PROPN
ap-282	2	17	�	�	PROPN
ap-282	2	18	�	�	PROPN
ap-282	2	19	�	�	PROPN
ap-282	2	20	�	�	PROPN
ap-282	2	21	�	�	PROPN
ap-282	2	22	~x	~x	PROPN
ap-282	2	23	t	t	NOUN
ap-282	2	24	h	h	NOUN
ap-282	2	25	x	x	SYM
ap-282	2	26	t	t	PROPN
ap-282	2	27	x	x	SYM
ap-282	2	28	t	t	PROPN
ap-282	2	29	�	�	PROPN
ap-282	2	30	�	�	PROPN
ap-282	2	31	�	�	PROPN
ap-282	2	32	�	�	PROPN
ap-282	2	33	�	�	PROPN
ap-282	2	34	�	�	PROPN
ap-282	2	35	1	1	NUM
ap-282	2	36	�	�	PROPN
ap-282	2	37	�	�	PROPN
ap-282	2	38	�	�	PROPN
ap-282	2	39	�	�	PROPN
ap-282	2	40	d	d	PROPN
ap-282	2	41	(	(	PUNCT
ap-282	2	42	1	1	NUM
ap-282	2	43	)	)	PUNCT
ap-282	2	44	where	where	SCONJ
ap-282	2	45	�	�	PROPN
ap-282	2	46	�	�	PROPN
ap-282	2	47	~x	~x	PROPN
ap-282	2	48	t	t	PROPN
ap-282	2	49	is	be	AUX
ap-282	2	50	hilbert	hilbert	NOUN
ap-282	2	51	image	image	NOUN
ap-282	2	52	of	of	ADP
ap-282	2	53	signal	signal	NOUN
ap-282	2	54	x(t	x(t	PROPN
ap-282	2	55	)	)	PUNCT
ap-282	2	56	,	,	PUNCT
ap-282	2	57	also	also	ADV
ap-282	2	58	refered	refer	VERB
ap-282	2	59	to	to	ADP
ap-282	2	60	as	as	ADP
ap-282	2	61	the	the	DET
ap-282	2	62	quadrature	quadrature	NOUN
ap-282	2	63	part	part	NOUN
ap-282	2	64	to	to	PART
ap-282	2	65	signal	signal	VERB
ap-282	2	66	x(t	x(t	PROPN
ap-282	2	67	)	)	PUNCT
ap-282	2	68	.	.	PUNCT
ap-282	3	1	the	the	DET
ap-282	3	2	inverse	inverse	NOUN
ap-282	3	3	hilbert	hilbert	NOUN
ap-282	3	4	transform	transform	NOUN
ap-282	3	5	is	be	AUX
ap-282	3	6	defined	define	VERB
ap-282	3	7	by	by	ADP
ap-282	3	8	�	�	PROPN
ap-282	3	9	�	�	PROPN
ap-282	3	10	�	�	PROPN
ap-282	3	11	�	�	PROPN
ap-282	3	12	�	�	PROPN
ap-282	3	13	�	�	PROPN
ap-282	3	14	�	�	PROPN
ap-282	3	15	�	�	PROPN
ap-282	3	16	x	x	PROPN
ap-282	3	17	t	t	NOUN
ap-282	3	18	h	h	NOUN
ap-282	3	19	x	x	SYM
ap-282	3	20	t	t	PROPN
ap-282	3	21	x	x	SYM
ap-282	4	1	t	t	PROPN
ap-282	4	2	�	�	PROPN
ap-282	4	3	�	�	PROPN
ap-282	4	4	�	�	PROPN
ap-282	4	5	�	�	PROPN
ap-282	4	6	�	�	PROPN
ap-282	4	7	�	�	PROPN
ap-282	4	8	�	�	PROPN
ap-282	4	9	�	�	PROPN
ap-282	4	10	1	1	NUM
ap-282	4	11	1~	1~	NUM
ap-282	4	12	~	~	PUNCT
ap-282	4	13	�	�	PROPN
ap-282	4	14	�	�	PROPN
ap-282	4	15	�	�	PROPN
ap-282	4	16	�	�	PROPN
ap-282	4	17	d	d	PROPN
ap-282	4	18	.	.	PUNCT
ap-282	5	1	(	(	PUNCT
ap-282	5	2	2	2	X
ap-282	5	3	)	)	PUNCT
ap-282	5	4	using	use	VERB
ap-282	5	5	the	the	DET
ap-282	5	6	definition	definition	NOUN
ap-282	5	7	of	of	ADP
ap-282	5	8	a	a	DET
ap-282	5	9	convolution	convolution	NOUN
ap-282	5	10	we	we	PRON
ap-282	5	11	can	can	AUX
ap-282	5	12	define	define	VERB
ap-282	5	13	the	the	DET
ap-282	5	14	hilbert	hilbert	NOUN
ap-282	5	15	transform	transform	NOUN
ap-282	5	16	by	by	ADP
ap-282	5	17	�	�	PROPN
ap-282	5	18	�	�	PROPN
ap-282	5	19	�	�	PROPN
ap-282	5	20	�	�	PROPN
ap-282	5	21	~x	~x	PROPN
ap-282	5	22	t	t	PROPN
ap-282	5	23	t	t	PROPN
ap-282	5	24	x	x	SYM
ap-282	5	25	t	t	PROPN
ap-282	5	26	�	�	PROPN
ap-282	5	27	1	1	NUM
ap-282	5	28	�	�	PROPN
ap-282	5	29	(	(	PUNCT
ap-282	5	30	3	3	NUM
ap-282	5	31	)	)	PUNCT
ap-282	5	32	�	�	PROPN
ap-282	5	33	�	�	PROPN
ap-282	5	34	�	�	PROPN
ap-282	5	35	�	�	PROPN
ap-282	5	36	x	x	PROPN
ap-282	5	37	t	t	PROPN
ap-282	5	38	t	t	PROPN
ap-282	5	39	x	x	SYM
ap-282	5	40	t	t	PROPN
ap-282	5	41	�	�	PROPN
ap-282	5	42	�	�	PROPN
ap-282	5	43	1	1	NUM
ap-282	5	44	�	�	PROPN
ap-282	5	45	~	~	PUNCT
ap-282	5	46	.	.	PUNCT
ap-282	6	1	(	(	PUNCT
ap-282	6	2	4	4	X
ap-282	6	3	)	)	PUNCT
ap-282	6	4	the	the	DET
ap-282	6	5	complex	complex	ADJ
ap-282	6	6	signal	signal	ADJ
ap-282	6	7	�	�	PROPN
ap-282	6	8	(	(	PUNCT
ap-282	6	9	t	t	PROPN
ap-282	6	10	)	)	PUNCT
ap-282	6	11	whose	whose	DET
ap-282	6	12	imaginary	imaginary	ADJ
ap-282	6	13	part	part	NOUN
ap-282	6	14	�	�	PROPN
ap-282	6	15	�	�	PROPN
ap-282	6	16	~x	~x	PROPN
ap-282	6	17	t	t	PROPN
ap-282	6	18	is	be	AUX
ap-282	6	19	the	the	DET
ap-282	6	20	hilbert	hilbert	NOUN
ap-282	6	21	transform	transform	NOUN
ap-282	6	22	of	of	ADP
ap-282	6	23	the	the	DET
ap-282	6	24	real	real	ADJ
ap-282	6	25	part	part	NOUN
ap-282	6	26	x(t	x(t	PROPN
ap-282	6	27	)	)	PUNCT
ap-282	6	28	is	be	AUX
ap-282	6	29	called	call	VERB
ap-282	6	30	the	the	DET
ap-282	6	31	analytic	analytic	ADJ
ap-282	6	32	signal	signal	NOUN
ap-282	6	33	.	.	PUNCT
ap-282	7	1	�	�	PROPN
ap-282	7	2	�	�	PROPN
ap-282	7	3	�	�	PROPN
ap-282	7	4	�	�	PROPN
ap-282	7	5	�	�	PROPN
ap-282	7	6	�	�	PROPN
ap-282	7	7	�	�	PROPN
ap-282	7	8	t	t	PROPN
ap-282	7	9	x	x	SYM
ap-282	8	1	t	t	PROPN
ap-282	8	2	j	j	PROPN
ap-282	8	3	x	x	SYM
ap-282	8	4	t	t	PROPN
ap-282	8	5	�	�	PROPN
ap-282	8	6	�	�	PROPN
ap-282	8	7	~	~	PUNCT
ap-282	8	8	(	(	PUNCT
ap-282	8	9	5	5	X
ap-282	8	10	)	)	PUNCT
ap-282	8	11	where	where	SCONJ
ap-282	8	12	�	�	PROPN
ap-282	8	13	�	�	PROPN
ap-282	8	14	�	�	PROPN
ap-282	8	15	�	�	PROPN
ap-282	8	16	�	�	PROPN
ap-282	8	17	�	�	PROPN
ap-282	8	18	~x	~x	PROPN
ap-282	8	19	t	t	NOUN
ap-282	8	20	h	h	NOUN
ap-282	8	21	x	x	PROPN
ap-282	8	22	t	t	PROPN
ap-282	8	23	�	�	PROPN
ap-282	8	24	.	.	PUNCT
ap-282	9	1	the	the	DET
ap-282	9	2	analytical	analytical	ADJ
ap-282	9	3	signal	signal	NOUN
ap-282	9	4	as	as	ADP
ap-282	9	5	a	a	DET
ap-282	9	6	complex	complex	ADJ
ap-282	9	7	function	function	NOUN
ap-282	9	8	in	in	ADP
ap-282	9	9	the	the	DET
ap-282	9	10	time	time	NOUN
ap-282	9	11	domain	domain	NOUN
ap-282	9	12	can	can	AUX
ap-282	9	13	be	be	AUX
ap-282	9	14	expressed	express	VERB
ap-282	9	15	as	as	ADP
ap-282	9	16	a	a	DET
ap-282	9	17	complex	complex	ADJ
ap-282	9	18	function	function	NOUN
ap-282	9	19	in	in	ADP
ap-282	9	20	euler	euler	NOUN
ap-282	9	21	form	form	NOUN
ap-282	9	22	by	by	ADP
ap-282	9	23	�	�	PROPN
ap-282	9	24	�	�	PROPN
ap-282	9	25	�	�	PROPN
ap-282	9	26	�	�	PROPN
ap-282	9	27	�	�	PROPN
ap-282	9	28	�	�	PROPN
ap-282	9	29	�	�	PROPN
ap-282	9	30	�	�	PROPN
ap-282	9	31	t	t	PROPN
ap-282	9	32	e	e	NOUN
ap-282	9	33	t	t	PROPN
ap-282	9	34	e	e	PROPN
ap-282	9	35	j	j	PROPN
ap-282	9	36	t	t	PROPN
ap-282	9	37	�	�	PROPN
ap-282	9	38	�	�	PROPN
ap-282	9	39	,	,	PUNCT
ap-282	9	40	(	(	PUNCT
ap-282	9	41	6	6	NUM
ap-282	9	42	)	)	PUNCT
ap-282	9	43	where	where	SCONJ
ap-282	9	44	is	be	AUX
ap-282	9	45	e(t	e(t	PROPN
ap-282	9	46	)	)	PUNCT
ap-282	9	47	is	be	AUX
ap-282	9	48	the	the	DET
ap-282	9	49	amplitude	amplitude	NOUN
ap-282	9	50	of	of	ADP
ap-282	9	51	a	a	DET
ap-282	9	52	complex	complex	ADJ
ap-282	9	53	function	function	NOUN
ap-282	9	54	in	in	ADP
ap-282	9	55	the	the	DET
ap-282	9	56	time	time	NOUN
ap-282	9	57	domain	domain	NOUN
ap-282	9	58	,	,	PUNCT
ap-282	9	59	�	�	PROPN
ap-282	9	60	(	(	PUNCT
ap-282	9	61	t	t	PROPN
ap-282	9	62	)	)	PUNCT
ap-282	9	63	is	be	AUX
ap-282	9	64	the	the	DET
ap-282	9	65	phase	phase	NOUN
ap-282	9	66	shift	shift	NOUN
ap-282	9	67	of	of	ADP
ap-282	9	68	a	a	DET
ap-282	9	69	complex	complex	ADJ
ap-282	9	70	function	function	NOUN
ap-282	9	71	in	in	ADP
ap-282	9	72	the	the	DET
ap-282	9	73	time	time	NOUN
ap-282	9	74	domain	domain	NOUN
ap-282	9	75	.	.	PUNCT
ap-282	10	1	the	the	DET
ap-282	10	2	following	follow	VERB
ap-282	10	3	equations	equation	NOUN
ap-282	10	4	are	be	AUX
ap-282	10	5	valid	valid	ADJ
ap-282	10	6	for	for	ADP
ap-282	10	7	e(t	e(t	NOUN
ap-282	10	8	)	)	PUNCT
ap-282	10	9	and	and	CCONJ
ap-282	10	10	�	�	PROPN
ap-282	10	11	(	(	PUNCT
ap-282	10	12	t	t	PROPN
ap-282	10	13	):	):	PUNCT
ap-282	10	14	�	�	PROPN
ap-282	10	15	�	�	PROPN
ap-282	10	16	�	�	PROPN
ap-282	10	17	�	�	PROPN
ap-282	10	18	�	�	PROPN
ap-282	10	19	�	�	PROPN
ap-282	10	20	e	e	PROPN
ap-282	10	21	t	t	NOUN
ap-282	10	22	x	x	SYM
ap-282	10	23	t	t	PROPN
ap-282	10	24	x	x	SYM
ap-282	10	25	t	t	PROPN
ap-282	10	26	�	�	PROPN
ap-282	10	27	�	�	PROPN
ap-282	10	28	2	2	NUM
ap-282	10	29	2~	2~	PROPN
ap-282	10	30	(	(	PUNCT
ap-282	10	31	7	7	NUM
ap-282	10	32	)	)	PUNCT
ap-282	10	33	�	�	PROPN
ap-282	10	34	�	�	PROPN
ap-282	10	35	�	�	PROPN
ap-282	10	36	�	�	PROPN
ap-282	10	37	�	�	PROPN
ap-282	10	38	�	�	PROPN
ap-282	10	39	�	�	PROPN
ap-282	10	40	t	t	PROPN
ap-282	10	41	x	x	SYM
ap-282	10	42	t	t	PROPN
ap-282	10	43	x	x	SYM
ap-282	10	44	t	t	PROPN
ap-282	10	45	�	�	PROPN
ap-282	10	46	atan	atan	PROPN
ap-282	10	47	~	~	PUNCT
ap-282	10	48	.	.	PUNCT
ap-282	11	1	(	(	PUNCT
ap-282	11	2	8)	8)	NUM
ap-282	11	3	function	function	NOUN
ap-282	11	4	e(t	e(t	NOUN
ap-282	11	5	)	)	PUNCT
ap-282	11	6	is	be	AUX
ap-282	11	7	called	call	VERB
ap-282	11	8	a	a	DET
ap-282	11	9	signal	signal	ADJ
ap-282	11	10	x(t	x(t	PROPN
ap-282	11	11	)	)	PUNCT
ap-282	11	12	envelope	envelope	NOUN
ap-282	11	13	.	.	PUNCT
ap-282	12	1	the	the	DET
ap-282	12	2	following	follow	VERB
ap-282	12	3	equations	equation	NOUN
ap-282	12	4	are	be	AUX
ap-282	12	5	valid	valid	ADJ
ap-282	12	6	for	for	ADP
ap-282	12	7	the	the	DET
ap-282	12	8	hilbert	hilbert	NOUN
ap-282	12	9	transform	transform	NOUN
ap-282	12	10	of	of	ADP
ap-282	12	11	a	a	DET
ap-282	12	12	harmonic	harmonic	ADJ
ap-282	12	13	signal	signal	NOUN
ap-282	12	14	:	:	PUNCT
ap-282	12	15	�	�	PROPN
ap-282	12	16	�	�	PROPN
ap-282	12	17	�	�	PROPN
ap-282	12	18	�	�	PROPN
ap-282	12	19	�	�	PROPN
ap-282	12	20	�	�	PROPN
ap-282	12	21	h	h	PROPN
ap-282	12	22	t	t	PROPN
ap-282	12	23	tcos	tcos	PROPN
ap-282	12	24	sin	sin	PROPN
ap-282	12	25	�	�	PROPN
ap-282	12	26	�	�	PROPN
ap-282	12	27	�	�	PROPN
ap-282	12	28	�	�	PROPN
ap-282	12	29	�	�	PROPN
ap-282	12	30	�	�	PROPN
ap-282	12	31	�	�	PROPN
ap-282	12	32	(	(	PUNCT
ap-282	12	33	9	9	NUM
ap-282	12	34	)	)	PUNCT
ap-282	12	35	�	�	PROPN
ap-282	12	36	�	�	PROPN
ap-282	12	37	�	�	PROPN
ap-282	12	38	�	�	PROPN
ap-282	12	39	�	�	PROPN
ap-282	12	40	�	�	PROPN
ap-282	12	41	h	h	PROPN
ap-282	12	42	t	t	PROPN
ap-282	12	43	tsin	tsin	PROPN
ap-282	12	44	cos	cos	PROPN
ap-282	12	45	�	�	PROPN
ap-282	12	46	�	�	PROPN
ap-282	12	47	�	�	PROPN
ap-282	12	48	�	�	PROPN
ap-282	12	49	�	�	PROPN
ap-282	12	50	�	�	PROPN
ap-282	12	51	�	�	PROPN
ap-282	12	52	�	�	PROPN
ap-282	12	53	.	.	PUNCT
ap-282	13	1	(	(	PUNCT
ap-282	13	2	10	10	NUM
ap-282	13	3	)	)	PUNCT
ap-282	13	4	24	24	NUM
ap-282	13	5	©	©	PROPN
ap-282	13	6	czech	czech	PROPN
ap-282	13	7	technical	technical	PROPN
ap-282	13	8	university	university	PROPN
ap-282	13	9	publishing	publishing	NOUN
ap-282	13	10	house	house	NOUN
ap-282	13	11	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-282	13	12	acta	acta	PROPN
ap-282	13	13	polytechnica	polytechnica	PROPN
ap-282	13	14	vol	vol	NOUN
ap-282	13	15	.	.	PUNCT
ap-282	14	1	41	41	NUM
ap-282	14	2	no	no	NOUN
ap-282	14	3	.	.	PUNCT
ap-282	15	1	6/2001	6/2001	NUM
ap-282	15	2	parasitic	parasitic	ADJ
ap-282	15	3	events	event	NOUN
ap-282	15	4	in	in	ADP
ap-282	15	5	envelope	envelope	NOUN
ap-282	15	6	analysis	analysis	NOUN
ap-282	15	7	j.	j.	PROPN
ap-282	15	8	doubek	doubek	PROPN
ap-282	15	9	,	,	PUNCT
ap-282	15	10	m.	m.	NOUN
ap-282	15	11	kreidl	kreidl	PROPN
ap-282	15	12	envelope	envelope	NOUN
ap-282	15	13	analysis	analysis	NOUN
ap-282	15	14	allows	allow	VERB
ap-282	15	15	fast	fast	ADJ
ap-282	15	16	fault	fault	NOUN
ap-282	15	17	location	location	NOUN
ap-282	15	18	of	of	ADP
ap-282	15	19	individual	individual	ADJ
ap-282	15	20	gearboxes	gearbox	NOUN
ap-282	15	21	and	and	CCONJ
ap-282	15	22	parts	part	NOUN
ap-282	15	23	of	of	ADP
ap-282	15	24	bearings	bearing	NOUN
ap-282	15	25	by	by	ADP
ap-282	15	26	repetition	repetition	NOUN
ap-282	15	27	frequency	frequency	NOUN
ap-282	15	28	determination	determination	NOUN
ap-282	15	29	of	of	ADP
ap-282	15	30	the	the	DET
ap-282	15	31	mechanical	mechanical	ADJ
ap-282	15	32	catch	catch	NOUN
ap-282	15	33	of	of	ADP
ap-282	15	34	an	an	DET
ap-282	15	35	amplitude	amplitude	NOUN
ap-282	15	36	-	-	PUNCT
ap-282	15	37	modulated	modulate	VERB
ap-282	15	38	signal	signal	NOUN
ap-282	15	39	.	.	PUNCT
ap-282	16	1	systematic	systematic	ADJ
ap-282	16	2	faults	fault	NOUN
ap-282	16	3	arise	arise	VERB
ap-282	16	4	when	when	SCONJ
ap-282	16	5	using	use	VERB
ap-282	16	6	envelope	envelope	NOUN
ap-282	16	7	analysis	analysis	NOUN
ap-282	16	8	on	on	ADP
ap-282	16	9	a	a	DET
ap-282	16	10	signal	signal	NOUN
ap-282	16	11	with	with	ADP
ap-282	16	12	strong	strong	ADJ
ap-282	16	13	changes	change	NOUN
ap-282	16	14	.	.	PUNCT
ap-282	17	1	the	the	DET
ap-282	17	2	source	source	NOUN
ap-282	17	3	of	of	ADP
ap-282	17	4	these	these	DET
ap-282	17	5	events	event	NOUN
ap-282	17	6	is	be	AUX
ap-282	17	7	the	the	DET
ap-282	17	8	range	range	NOUN
ap-282	17	9	of	of	ADP
ap-282	17	10	function	function	NOUN
ap-282	17	11	definition	definition	NOUN
ap-282	17	12	of	of	ADP
ap-282	17	13	1	1	NUM
ap-282	17	14	�	�	PROPN
ap-282	17	15	t	t	NOUN
ap-282	17	16	used	use	VERB
ap-282	17	17	in	in	ADP
ap-282	17	18	convolution	convolution	NOUN
ap-282	17	19	integral	integral	ADJ
ap-282	17	20	definition	definition	NOUN
ap-282	17	21	.	.	PUNCT
ap-282	18	1	this	this	DET
ap-282	18	2	integral	integral	NOUN
ap-282	18	3	is	be	AUX
ap-282	18	4	used	use	VERB
ap-282	18	5	for	for	ADP
ap-282	18	6	hilbert	hilbert	NOUN
ap-282	18	7	image	image	NOUN
ap-282	18	8	calculation	calculation	NOUN
ap-282	18	9	of	of	ADP
ap-282	18	10	analyzed	analyze	VERB
ap-282	18	11	signal	signal	NOUN
ap-282	18	12	.	.	PUNCT
ap-282	19	1	overshoots	overshoot	NOUN
ap-282	19	2	(	(	PUNCT
ap-282	19	3	almost	almost	ADV
ap-282	19	4	similar	similar	ADJ
ap-282	19	5	to	to	ADP
ap-282	19	6	gibbs	gibbs	PROPN
ap-282	19	7	events	event	NOUN
ap-282	19	8	on	on	ADP
ap-282	19	9	a	a	DET
ap-282	19	10	synthetic	synthetic	ADJ
ap-282	19	11	signal	signal	NOUN
ap-282	19	12	using	use	VERB
ap-282	19	13	the	the	DET
ap-282	19	14	fourier	fourier	NOUN
ap-282	19	15	series	series	NOUN
ap-282	19	16	)	)	PUNCT
ap-282	19	17	are	be	AUX
ap-282	19	18	result	result	NOUN
ap-282	19	19	from	from	ADP
ap-282	19	20	these	these	DET
ap-282	19	21	faults	fault	NOUN
ap-282	19	22	.	.	PUNCT
ap-282	20	1	overshoots	overshoot	NOUN
ap-282	20	2	are	be	AUX
ap-282	20	3	caused	cause	VERB
ap-282	20	4	by	by	ADP
ap-282	20	5	parasitic	parasitic	ADJ
ap-282	20	6	spectral	spectral	ADJ
ap-282	20	7	lines	line	NOUN
ap-282	20	8	in	in	ADP
ap-282	20	9	the	the	DET
ap-282	20	10	frequency	frequency	NOUN
ap-282	20	11	domain	domain	NOUN
ap-282	20	12	,	,	PUNCT
ap-282	20	13	which	which	PRON
ap-282	20	14	can	can	AUX
ap-282	20	15	produce	produce	VERB
ap-282	20	16	faulty	faulty	ADJ
ap-282	20	17	diagnostic	diagnostic	ADJ
ap-282	20	18	analysis	analysis	NOUN
ap-282	20	19	.	.	PUNCT
ap-282	21	1	this	this	DET
ap-282	21	2	paper	paper	NOUN
ap-282	21	3	describes	describe	VERB
ap-282	21	4	systematic	systematic	ADJ
ap-282	21	5	arising	arise	VERB
ap-282	21	6	during	during	ADP
ap-282	21	7	faults	fault	NOUN
ap-282	21	8	rising	rise	VERB
ap-282	21	9	by	by	ADP
ap-282	21	10	signal	signal	PROPN
ap-282	21	11	numerical	numerical	ADJ
ap-282	21	12	calculation	calculation	NOUN
ap-282	21	13	using	use	VERB
ap-282	21	14	envelope	envelope	NOUN
ap-282	21	15	analysis	analysis	NOUN
ap-282	21	16	with	with	ADP
ap-282	21	17	hilbert	hilbert	NOUN
ap-282	21	18	transform	transform	NOUN
ap-282	21	19	.	.	PUNCT
ap-282	22	1	it	it	PRON
ap-282	22	2	goes	go	VERB
ap-282	22	3	on	on	ADP
ap-282	22	4	to	to	PART
ap-282	22	5	offer	offer	VERB
ap-282	22	6	a	a	DET
ap-282	22	7	mathematical	mathematical	ADJ
ap-282	22	8	analysis	analysis	NOUN
ap-282	22	9	of	of	ADP
ap-282	22	10	these	these	DET
ap-282	22	11	systematic	systematic	ADJ
ap-282	22	12	faults	fault	NOUN
ap-282	22	13	.	.	PUNCT
ap-282	23	1	keywords	keyword	NOUN
ap-282	23	2	:	:	PUNCT
ap-282	23	3	gearbox	gearbox	NOUN
ap-282	23	4	,	,	PUNCT
ap-282	23	5	bearing	bearing	NOUN
ap-282	23	6	,	,	PUNCT
ap-282	23	7	envelope	envelope	NOUN
ap-282	23	8	analysis	analysis	NOUN
ap-282	23	9	,	,	PUNCT
ap-282	23	10	hilbert	hilbert	NOUN
ap-282	23	11	transform	transform	NOUN
ap-282	23	12	,	,	PUNCT
ap-282	23	13	parasitic	parasitic	ADJ
ap-282	23	14	spectral	spectral	ADJ
ap-282	23	15	lines	line	NOUN
ap-282	23	16	.	.	PUNCT
ap-282	23	17	)	)	PUNCT
ap-282	24	1	t̂xt	t̂xt	X
ap-282	24	2	�	�	PROPN
ap-282	24	3	)	)	PUNCT
ap-282	24	4	(	(	PUNCT
ap-282	24	5	t	t	PROPN
ap-282	24	6	�	�	PROPN
ap-282	24	7	)	)	PUNCT
ap-282	24	8	(	(	PUNCT
ap-282	24	9	)	)	PUNCT
ap-282	24	10	}	}	PUNCT
ap-282	24	11	(	(	PUNCT
ap-282	24	12	re	re	VERB
ap-282	24	13	{	{	PUNCT
ap-282	24	14	txt	txt	PROPN
ap-282	24	15	�	�	PROPN
ap-282	24	16	�	�	PROPN
ap-282	24	17	0	0	NUM
ap-282	24	18	0.5	0.5	NUM
ap-282	24	19	1	1	NUM
ap-282	24	20	txt	txt	NOUN
ap-282	24	21	~im	~im	PROPN
ap-282	24	22	�	�	PROPN
ap-282	24	23	�	�	PROPN
ap-282	24	24	txt	txt	PROPN
ap-282	24	25	�	�	PROPN
ap-282	24	26	�	�	PROPN
ap-282	24	27	re	re	NOUN
ap-282	24	28	0.5	0.5	NUM
ap-282	24	29	1	1	NUM
ap-282	24	30	1.5	1.5	NUM
ap-282	24	31	u	u	NOUN
ap-282	24	32	[	[	X
ap-282	24	33	v	v	X
ap-282	24	34	]	]	PUNCT
ap-282	24	35	)	)	PUNCT
ap-282	24	36	(	(	PUNCT
ap-282	24	37	~	~	PUNCT
ap-282	24	38	tx	tx	INTJ
ap-282	24	39	)	)	PUNCT
ap-282	24	40	(	(	PUNCT
ap-282	24	41	tx	tx	PROPN
ap-282	24	42	a	a	PRON
ap-282	24	43	)	)	PUNCT
ap-282	24	44	b	b	NOUN
ap-282	24	45	)	)	PUNCT
ap-282	24	46	envelope	envelope	NOUN
ap-282	24	47	(	(	PUNCT
ap-282	24	48	)	)	PUNCT
ap-282	24	49	=	=	SYM
ap-282	24	50	1	1	NUM
ap-282	24	51	ve	ve	VERB
ap-282	24	52	t	t	X
ap-282	24	53	fig	fig	NOUN
ap-282	24	54	.	.	PUNCT
ap-282	25	1	1	1	NUM
ap-282	25	2	:	:	PUNCT
ap-282	25	3	analytical	analytical	ADJ
ap-282	25	4	signal	signal	NOUN
ap-282	25	5	and	and	CCONJ
ap-282	25	6	envelope	envelope	NOUN
ap-282	25	7	of	of	ADP
ap-282	25	8	�	�	PROPN
ap-282	25	9	�	�	PROPN
ap-282	25	10	�	�	PROPN
ap-282	25	11	�	�	PROPN
ap-282	25	12	x	x	PROPN
ap-282	25	13	t	t	PROPN
ap-282	25	14	t	t	PROPN
ap-282	25	15	�	�	PROPN
ap-282	25	16	�	�	PROPN
ap-282	25	17	sin	sin	NOUN
ap-282	25	18	2	2	NUM
ap-282	25	19	10	10	NUM
ap-282	25	20	�	�	PROPN
ap-282	25	21	�	�	PROPN
ap-282	25	22	,	,	PUNCT
ap-282	25	23	�	�	PROPN
ap-282	25	24	�	�	PROPN
ap-282	25	25	�	�	PROPN
ap-282	25	26	�	�	PROPN
ap-282	25	27	~	~	SYM
ap-282	25	28	cos	cos	PROPN
ap-282	25	29	,	,	PUNCT
ap-282	25	30	x	x	PROPN
ap-282	25	31	t	t	PROPN
ap-282	25	32	t	t	PROPN
ap-282	25	33	�	�	PROPN
ap-282	25	34	�	�	PROPN
ap-282	25	35	�	�	PROPN
ap-282	25	36	2	2	NUM
ap-282	25	37	10	10	NUM
ap-282	25	38	0	0	NUM
ap-282	25	39	�	�	PROPN
ap-282	25	40	�	�	PROPN
ap-282	25	41	�	�	PROPN
ap-282	25	42	these	these	DET
ap-282	25	43	equations	equation	NOUN
ap-282	25	44	show	show	VERB
ap-282	25	45	that	that	SCONJ
ap-282	25	46	the	the	DET
ap-282	25	47	envelope	envelope	NOUN
ap-282	25	48	e(t	e(t	NOUN
ap-282	25	49	)	)	PUNCT
ap-282	25	50	of	of	ADP
ap-282	25	51	the	the	DET
ap-282	25	52	harmonic	harmonic	ADJ
ap-282	25	53	signal	signal	NOUN
ap-282	25	54	x(t	x(t	PROPN
ap-282	25	55	)	)	PUNCT
ap-282	25	56	=	=	SYM
ap-282	25	57	sin	sin	NOUN
ap-282	25	58	(	(	PUNCT
ap-282	25	59	�	�	NOUN
ap-282	25	60	t	t	PROPN
ap-282	25	61	)	)	PUNCT
ap-282	25	62	is	be	AUX
ap-282	25	63	equal	equal	ADJ
ap-282	25	64	to	to	ADP
ap-282	25	65	:	:	PUNCT
ap-282	25	66	�	�	PROPN
ap-282	25	67	�	�	PROPN
ap-282	25	68	�	�	PROPN
ap-282	25	69	�	�	PROPN
ap-282	25	70	�	�	PROPN
ap-282	25	71	�	�	PROPN
ap-282	25	72	�	�	PROPN
ap-282	25	73	�	�	PROPN
ap-282	25	74	�	�	PROPN
ap-282	25	75	�	�	PROPN
ap-282	25	76	e	e	PROPN
ap-282	25	77	t	t	NOUN
ap-282	25	78	x	x	PROPN
ap-282	25	79	t	t	PROPN
ap-282	25	80	x	x	SYM
ap-282	25	81	t	t	PROPN
ap-282	25	82	t	t	PROPN
ap-282	25	83	t	t	PROPN
ap-282	25	84	�	�	PROPN
ap-282	25	85	�	�	PROPN
ap-282	25	86	�	�	PROPN
ap-282	25	87	�	�	PROPN
ap-282	25	88	�	�	PROPN
ap-282	25	89	2	2	NUM
ap-282	25	90	2	2	NUM
ap-282	25	91	2	2	NUM
ap-282	25	92	2	2	NUM
ap-282	25	93	1~	1~	NUM
ap-282	25	94	sin	sin	NOUN
ap-282	25	95	cos	cos	PROPN
ap-282	25	96	�	�	PROPN
ap-282	25	97	�	�	PROPN
ap-282	25	98	.	.	PUNCT
ap-282	26	1	(	(	PUNCT
ap-282	26	2	11	11	NUM
ap-282	26	3	)	)	PUNCT
ap-282	26	4	the	the	DET
ap-282	26	5	analytical	analytical	ADJ
ap-282	26	6	signal	signal	NOUN
ap-282	26	7	and	and	CCONJ
ap-282	26	8	envelope	envelope	NOUN
ap-282	26	9	is	be	AUX
ap-282	26	10	shown	show	VERB
ap-282	26	11	in	in	ADP
ap-282	26	12	fig	fig	NOUN
ap-282	26	13	.	.	PUNCT
ap-282	27	1	1	1	NUM
ap-282	27	2	.	.	SYM
ap-282	27	3	2	2	NUM
ap-282	27	4	envelope	envelope	NOUN
ap-282	27	5	analysis	analysis	NOUN
ap-282	27	6	faults	fault	NOUN
ap-282	27	7	fig	fig	NOUN
ap-282	27	8	.	.	PUNCT
ap-282	28	1	1	1	NUM
ap-282	28	2	shows	show	VERB
ap-282	28	3	a	a	DET
ap-282	28	4	part	part	NOUN
ap-282	28	5	of	of	ADP
ap-282	28	6	harmonic	harmonic	ADJ
ap-282	28	7	signal	signal	NOUN
ap-282	28	8	�	�	PROPN
ap-282	28	9	�	�	PROPN
ap-282	28	10	x	x	PROPN
ap-282	28	11	t	t	PROPN
ap-282	28	12	,	,	PUNCT
ap-282	28	13	its	its	PRON
ap-282	28	14	analytically	analytically	ADV
ap-282	28	15	calculated	calculate	VERB
ap-282	28	16	quadrature	quadrature	NOUN
ap-282	28	17	part	part	NOUN
ap-282	28	18	�	�	PROPN
ap-282	28	19	�	�	PROPN
ap-282	28	20	~x	~x	SYM
ap-282	28	21	t	t	PROPN
ap-282	28	22	and	and	CCONJ
ap-282	28	23	envelope	envelope	NOUN
ap-282	28	24	e(t	e(t	NOUN
ap-282	28	25	)	)	PUNCT
ap-282	28	26	.	.	PUNCT
ap-282	29	1	figure	figure	NOUN
ap-282	29	2	1a	1a	PROPN
ap-282	29	3	shows	show	VERB
ap-282	29	4	analytical	analytical	ADJ
ap-282	29	5	signal	signal	PROPN
ap-282	29	6	�	�	PROPN
ap-282	29	7	(	(	PUNCT
ap-282	29	8	t	t	PROPN
ap-282	29	9	)	)	PUNCT
ap-282	29	10	in	in	ADP
ap-282	29	11	complex	complex	ADJ
ap-282	29	12	space	space	NOUN
ap-282	29	13	.	.	PUNCT
ap-282	30	1	figure	figure	NOUN
ap-282	30	2	1b	1b	PROPN
ap-282	30	3	shows	show	VERB
ap-282	30	4	the	the	DET
ap-282	30	5	same	same	ADJ
ap-282	30	6	signal	signal	NOUN
ap-282	30	7	in	in	ADP
ap-282	30	8	two	two	NUM
ap-282	30	9	dimensions	dimension	NOUN
ap-282	30	10	.	.	PUNCT
ap-282	31	1	2.1	2.1	NUM
ap-282	31	2	the	the	DET
ap-282	31	3	edge	edge	NOUN
ap-282	31	4	measurement	measurement	NOUN
ap-282	31	5	interval	interval	NOUN
ap-282	31	6	effect	effect	NOUN
ap-282	31	7	on	on	ADP
ap-282	31	8	a	a	DET
ap-282	31	9	harmonic	harmonic	ADJ
ap-282	31	10	signal	signal	NOUN
ap-282	31	11	envelope	envelope	NOUN
ap-282	31	12	the	the	DET
ap-282	31	13	envelope	envelope	NOUN
ap-282	31	14	of	of	ADP
ap-282	31	15	a	a	DET
ap-282	31	16	harmonic	harmonic	ADJ
ap-282	31	17	signal	signal	NOUN
ap-282	31	18	is	be	AUX
ap-282	31	19	shown	show	VERB
ap-282	31	20	in	in	ADP
ap-282	31	21	figure	figure	NOUN
ap-282	31	22	2a	2a	NUM
ap-282	31	23	.	.	PUNCT
ap-282	32	1	the	the	DET
ap-282	32	2	quadrature	quadrature	NOUN
ap-282	32	3	part	part	NOUN
ap-282	32	4	was	be	AUX
ap-282	32	5	obtained	obtain	VERB
ap-282	32	6	by	by	ADP
ap-282	32	7	a	a	DET
ap-282	32	8	numerical	numerical	ADJ
ap-282	32	9	calculation	calculation	NOUN
ap-282	32	10	of	of	ADP
ap-282	32	11	the	the	DET
ap-282	32	12	analytical	analytical	ADJ
ap-282	32	13	signal	signal	NOUN
ap-282	32	14	in	in	ADP
ap-282	32	15	comparison	comparison	NOUN
ap-282	32	16	to	to	ADP
ap-282	32	17	an	an	DET
ap-282	32	18	analytical	analytical	ADJ
ap-282	32	19	calculation	calculation	NOUN
ap-282	32	20	(	(	PUNCT
ap-282	32	21	see	see	VERB
ap-282	32	22	figure	figure	NOUN
ap-282	32	23	1b	1b	NUM
ap-282	32	24	)	)	PUNCT
ap-282	32	25	.	.	PUNCT
ap-282	33	1	the	the	DET
ap-282	33	2	envelope	envelope	NOUN
ap-282	33	3	distortion	distortion	NOUN
ap-282	33	4	at	at	ADP
ap-282	33	5	the	the	DET
ap-282	33	6	edge	edge	NOUN
ap-282	33	7	of	of	ADP
ap-282	33	8	the	the	DET
ap-282	33	9	measurement	measurement	NOUN
ap-282	33	10	interval	interval	NOUN
ap-282	33	11	is	be	AUX
ap-282	33	12	shown	show	VERB
ap-282	33	13	in	in	ADP
ap-282	33	14	figure	figure	NOUN
ap-282	33	15	2a	2a	NUM
ap-282	33	16	.	.	PUNCT
ap-282	34	1	figure	figure	NOUN
ap-282	34	2	2b	2b	PROPN
ap-282	34	3	shows	show	VERB
ap-282	34	4	the	the	DET
ap-282	34	5	same	same	ADJ
ap-282	34	6	signal	signal	NOUN
ap-282	34	7	but	but	CCONJ
ap-282	34	8	with	with	ADP
ap-282	34	9	a	a	DET
ap-282	34	10	phase	phase	NOUN
ap-282	34	11	shift	shift	NOUN
ap-282	34	12	of	of	ADP
ap-282	34	13	�	�	PROPN
ap-282	34	14	�	�	PROPN
ap-282	34	15	�	�	PROPN
ap-282	34	16	2	2	NUM
ap-282	34	17	.	.	PUNCT
ap-282	34	18	figure	figure	NOUN
ap-282	34	19	2a	2a	PROPN
ap-282	34	20	shows	show	VERB
ap-282	34	21	a	a	DET
ap-282	34	22	50	50	NUM
ap-282	34	23	%	%	NOUN
ap-282	34	24	deflection	deflection	NOUN
ap-282	34	25	of	of	ADP
ap-282	34	26	the	the	DET
ap-282	34	27	envelope	envelope	NOUN
ap-282	34	28	in	in	ADP
ap-282	34	29	comparison	comparison	NOUN
ap-282	34	30	to	to	ADP
ap-282	34	31	the	the	DET
ap-282	34	32	ideal	ideal	NOUN
ap-282	34	33	.	.	PUNCT
ap-282	35	1	figure	figure	NOUN
ap-282	35	2	2b	2b	PROPN
ap-282	35	3	shows	show	VERB
ap-282	35	4	a	a	DET
ap-282	35	5	70	70	NUM
ap-282	35	6	%	%	NOUN
ap-282	35	7	deflection	deflection	NOUN
ap-282	35	8	of	of	ADP
ap-282	35	9	the	the	DET
ap-282	35	10	envelope	envelope	NOUN
ap-282	35	11	in	in	ADP
ap-282	35	12	comparison	comparison	NOUN
ap-282	35	13	to	to	ADP
ap-282	35	14	the	the	DET
ap-282	35	15	ideal	ideal	NOUN
ap-282	35	16	.	.	PUNCT
ap-282	36	1	2.2	2.2	NUM
ap-282	36	2	the	the	DET
ap-282	36	3	step	step	NOUN
ap-282	36	4	change	change	NOUN
ap-282	36	5	effect	effect	NOUN
ap-282	36	6	on	on	ADP
ap-282	36	7	a	a	DET
ap-282	36	8	harmonic	harmonic	ADJ
ap-282	36	9	signal	signal	NOUN
ap-282	36	10	envelope	envelope	NOUN
ap-282	36	11	the	the	DET
ap-282	36	12	envelope	envelope	NOUN
ap-282	36	13	of	of	ADP
ap-282	36	14	harmonic	harmonic	ADJ
ap-282	36	15	signal	signal	NOUN
ap-282	36	16	modulated	modulate	VERB
ap-282	36	17	by	by	ADP
ap-282	36	18	a	a	DET
ap-282	36	19	square	square	ADJ
ap-282	36	20	pulse	pulse	NOUN
ap-282	36	21	is	be	AUX
ap-282	36	22	shown	show	VERB
ap-282	36	23	in	in	ADP
ap-282	36	24	figure	figure	NOUN
ap-282	36	25	3a	3a	NUM
ap-282	36	26	.	.	PUNCT
ap-282	37	1	the	the	DET
ap-282	37	2	step	step	NOUN
ap-282	37	3	is	be	AUX
ap-282	37	4	in	in	ADP
ap-282	37	5	the	the	DET
ap-282	37	6	time	time	NOUN
ap-282	37	7	when	when	SCONJ
ap-282	37	8	the	the	DET
ap-282	37	9	harmonic	harmonic	ADJ
ap-282	37	10	signal	signal	NOUN
ap-282	37	11	is	be	AUX
ap-282	37	12	crossing	cross	VERB
ap-282	37	13	zero	zero	NUM
ap-282	37	14	(	(	PUNCT
ap-282	37	15	phase	phase	NOUN
ap-282	37	16	�	�	NOUN
ap-282	37	17	sk	sk	NOUN
ap-282	37	18	=	=	NOUN
ap-282	37	19	0	0	NUM
ap-282	37	20	)	)	PUNCT
ap-282	37	21	,	,	PUNCT
ap-282	37	22	and	and	CCONJ
ap-282	37	23	the	the	DET
ap-282	37	24	quadrature	quadrature	NOUN
ap-282	37	25	part	part	NOUN
ap-282	37	26	is	be	AUX
ap-282	37	27	numerically	numerically	ADV
ap-282	37	28	calculated	calculate	VERB
ap-282	37	29	.	.	PUNCT
ap-282	38	1	figure	figure	NOUN
ap-282	38	2	3b	3b	PROPN
ap-282	38	3	shows	show	VERB
ap-282	38	4	the	the	DET
ap-282	38	5	same	same	ADJ
ap-282	38	6	signal	signal	NOUN
ap-282	38	7	but	but	CCONJ
ap-282	38	8	the	the	DET
ap-282	38	9	step	step	NOUN
ap-282	38	10	is	be	AUX
ap-282	38	11	at	at	ADP
ap-282	38	12	the	the	DET
ap-282	38	13	time	time	NOUN
ap-282	38	14	when	when	SCONJ
ap-282	38	15	the	the	DET
ap-282	38	16	harmonic	harmonic	ADJ
ap-282	38	17	signal	signal	NOUN
ap-282	38	18	reaches	reach	VERB
ap-282	38	19	the	the	DET
ap-282	38	20	maximum	maximum	ADJ
ap-282	38	21	(	(	PUNCT
ap-282	38	22	phase	phase	NOUN
ap-282	38	23	�	�	PROPN
ap-282	38	24	�	�	PROPN
ap-282	38	25	sk	sk	PROPN
ap-282	38	26	�	�	PROPN
ap-282	38	27	2	2	NUM
ap-282	38	28	)	)	PUNCT
ap-282	38	29	.	.	PUNCT
ap-282	39	1	figure	figure	NOUN
ap-282	39	2	3	3	NUM
ap-282	39	3	shows	show	VERB
ap-282	39	4	almost	almost	ADV
ap-282	39	5	the	the	DET
ap-282	39	6	same	same	ADJ
ap-282	39	7	form	form	NOUN
ap-282	39	8	of	of	ADP
ap-282	39	9	envelope	envelope	NOUN
ap-282	39	10	as	as	ADP
ap-282	39	11	figure	figure	NOUN
ap-282	39	12	2	2	NUM
ap-282	39	13	.	.	PUNCT
ap-282	40	1	the	the	DET
ap-282	40	2	overshoots	overshoot	NOUN
ap-282	40	3	produced	produce	VERB
ap-282	40	4	by	by	ADP
ap-282	40	5	the	the	DET
ap-282	40	6	step	step	NOUN
ap-282	40	7	changes	change	NOUN
ap-282	40	8	are	be	AUX
ap-282	40	9	smaller	small	ADJ
ap-282	40	10	than	than	ADP
ap-282	40	11	the	the	DET
ap-282	40	12	overshoot	overshoot	NOUN
ap-282	40	13	produced	produce	VERB
ap-282	40	14	by	by	ADP
ap-282	40	15	the	the	DET
ap-282	40	16	edge	edge	NOUN
ap-282	40	17	of	of	ADP
ap-282	40	18	the	the	DET
ap-282	40	19	measurement	measurement	NOUN
ap-282	40	20	interval	interval	NOUN
ap-282	40	21	.	.	PUNCT
ap-282	41	1	2.3	2.3	NUM
ap-282	41	2	envelope	envelope	NOUN
ap-282	41	3	analysis	analysis	NOUN
ap-282	41	4	errors	error	NOUN
ap-282	41	5	recapitulation	recapitulation	NOUN
ap-282	41	6	figure	figure	NOUN
ap-282	41	7	1	1	NUM
ap-282	41	8	to	to	PART
ap-282	41	9	figure	figure	VERB
ap-282	41	10	3	3	NUM
ap-282	41	11	show	show	VERB
ap-282	41	12	the	the	DET
ap-282	41	13	different	different	ADJ
ap-282	41	14	form	form	NOUN
ap-282	41	15	of	of	ADP
ap-282	41	16	the	the	DET
ap-282	41	17	envelope	envelope	NOUN
ap-282	41	18	if	if	SCONJ
ap-282	41	19	it	it	PRON
ap-282	41	20	is	be	AUX
ap-282	41	21	calculated	calculate	VERB
ap-282	41	22	analytically	analytically	ADV
ap-282	41	23	or	or	CCONJ
ap-282	41	24	numerically	numerically	ADV
ap-282	41	25	at	at	ADP
ap-282	41	26	points	point	NOUN
ap-282	41	27	of	of	ADP
ap-282	41	28	step	step	NOUN
ap-282	41	29	change	change	NOUN
ap-282	41	30	and	and	CCONJ
ap-282	41	31	at	at	ADP
ap-282	41	32	points	point	NOUN
ap-282	41	33	of	of	ADP
ap-282	41	34	the	the	DET
ap-282	41	35	edge	edge	NOUN
ap-282	41	36	of	of	ADP
ap-282	41	37	the	the	DET
ap-282	41	38	measurement	measurement	NOUN
ap-282	41	39	interval	interval	NOUN
ap-282	41	40	.	.	PUNCT
ap-282	42	1	the	the	DET
ap-282	42	2	overshoot	overshoot	NOUN
ap-282	42	3	is	be	AUX
ap-282	42	4	theoretically	theoretically	ADV
ap-282	42	5	infinite	infinite	ADJ
ap-282	42	6	at	at	ADP
ap-282	42	7	the	the	DET
ap-282	42	8	point	point	NOUN
ap-282	42	9	of	of	ADP
ap-282	42	10	the	the	DET
ap-282	42	11	step	step	NOUN
ap-282	42	12	change	change	NOUN
ap-282	42	13	(	(	PUNCT
ap-282	42	14	see	see	VERB
ap-282	42	15	chapter	chapter	NOUN
ap-282	42	16	3.3	3.3	NUM
ap-282	42	17	)	)	PUNCT
ap-282	42	18	.	.	PUNCT
ap-282	43	1	calculation	calculation	NOUN
ap-282	43	2	in	in	ADP
ap-282	43	3	discrete	discrete	ADJ
ap-282	43	4	time	time	NOUN
ap-282	43	5	only	only	ADV
ap-282	43	6	approximates	approximate	VERB
ap-282	43	7	this	this	DET
ap-282	43	8	one	one	NOUN
ap-282	43	9	.	.	PUNCT
ap-282	44	1	the	the	DET
ap-282	44	2	signal	signal	NOUN
ap-282	44	3	in	in	ADP
ap-282	44	4	figure	figure	NOUN
ap-282	44	5	2b	2b	NUM
ap-282	44	6	has	have	VERB
ap-282	44	7	an	an	DET
ap-282	44	8	overshoot	overshoot	NOUN
ap-282	44	9	of	of	ADP
ap-282	44	10	70	70	NUM
ap-282	44	11	%	%	NOUN
ap-282	44	12	of	of	ADP
ap-282	44	13	the	the	DET
ap-282	44	14	original	original	ADJ
ap-282	44	15	envelope	envelope	NOUN
ap-282	44	16	.	.	PUNCT
ap-282	45	1	©	©	PROPN
ap-282	45	2	czech	czech	PROPN
ap-282	45	3	technical	technical	PROPN
ap-282	45	4	university	university	PROPN
ap-282	45	5	publishing	publishing	NOUN
ap-282	45	6	house	house	NOUN
ap-282	45	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-282	45	8	25	25	NUM
ap-282	45	9	acta	acta	PROPN
ap-282	45	10	polytechnica	polytechnica	PROPN
ap-282	45	11	vol	vol	NOUN
ap-282	45	12	.	.	PUNCT
ap-282	46	1	41	41	NUM
ap-282	46	2	no	no	NOUN
ap-282	46	3	.	.	PUNCT
ap-282	47	1	6/2001	6/2001	NUM
ap-282	47	2	)	)	PUNCT
ap-282	47	3	(	(	PUNCT
ap-282	47	4	~	~	PUNCT
ap-282	47	5	tx	tx	INTJ
ap-282	47	6	)	)	PUNCT
ap-282	47	7	(	(	PUNCT
ap-282	47	8	tx	tx	PROPN
ap-282	47	9	)	)	PUNCT
ap-282	47	10	(	(	PUNCT
ap-282	47	11	tx	tx	PROPN
ap-282	47	12	)	)	PUNCT
ap-282	47	13	(	(	PUNCT
ap-282	47	14	~	~	PUNCT
ap-282	47	15	tx	tx	VERB
ap-282	47	16	a	a	X
ap-282	47	17	)	)	PUNCT
ap-282	47	18	b	b	NOUN
ap-282	47	19	)	)	PUNCT
ap-282	47	20	0.5	0.5	NUM
ap-282	47	21	v	v	NOUN
ap-282	47	22	–	–	PUNCT
ap-282	47	23	50	50	NUM
ap-282	47	24	%	%	NOUN
ap-282	47	25	�	�	PROPN
ap-282	47	26	1.7	1.7	NUM
ap-282	47	27	v	v	NOUN
ap-282	47	28	–	–	PUNCT
ap-282	47	29	fig	fig	NOUN
ap-282	47	30	.	.	PUNCT
ap-282	48	1	2	2	NUM
ap-282	48	2	:	:	PUNCT
ap-282	48	3	envelope	envelope	NOUN
ap-282	48	4	distortion	distortion	NOUN
ap-282	48	5	on	on	ADP
ap-282	48	6	the	the	DET
ap-282	48	7	edge	edge	NOUN
ap-282	48	8	of	of	ADP
ap-282	48	9	the	the	DET
ap-282	48	10	measurement	measurement	NOUN
ap-282	48	11	interval	interval	NOUN
ap-282	48	12	,	,	PUNCT
ap-282	48	13	�	�	PROPN
ap-282	48	14	�	�	PROPN
ap-282	48	15	�	�	PROPN
ap-282	48	16	�	�	PROPN
ap-282	48	17	x	x	PROPN
ap-282	48	18	t	t	PROPN
ap-282	48	19	t	t	PROPN
ap-282	48	20	�	�	PROPN
ap-282	48	21	�	�	PROPN
ap-282	48	22	sin	sin	NOUN
ap-282	48	23	2	2	NUM
ap-282	48	24	10	10	NUM
ap-282	48	25	�	�	PROPN
ap-282	48	26	�	�	PROPN
ap-282	48	27	,	,	PUNCT
ap-282	48	28	sampling	sample	VERB
ap-282	48	29	frequency	frequency	NOUN
ap-282	48	30	5	5	NUM
ap-282	48	31	khz	khz	NOUN
ap-282	48	32	a	a	NOUN
ap-282	48	33	)	)	PUNCT
ap-282	48	34	for	for	ADP
ap-282	48	35	�	�	PROPN
ap-282	48	36	=	=	SYM
ap-282	48	37	0	0	NUM
ap-282	48	38	,	,	PUNCT
ap-282	48	39	b	b	NOUN
ap-282	48	40	)	)	PUNCT
ap-282	48	41	for	for	ADP
ap-282	48	42	�	�	PROPN
ap-282	48	43	�	�	PROPN
ap-282	48	44	�	�	PROPN
ap-282	48	45	2	2	NUM
ap-282	48	46	)	)	PUNCT
ap-282	48	47	(	(	PUNCT
ap-282	48	48	tx	tx	PROPN
ap-282	48	49	)	)	PUNCT
ap-282	48	50	(	(	PUNCT
ap-282	48	51	~	~	PUNCT
ap-282	48	52	tx	tx	INTJ
ap-282	48	53	)	)	PUNCT
ap-282	48	54	(	(	PUNCT
ap-282	48	55	tx	tx	PROPN
ap-282	48	56	)	)	PUNCT
ap-282	48	57	(	(	PUNCT
ap-282	48	58	~	~	PUNCT
ap-282	48	59	tx	tx	VERB
ap-282	48	60	a	a	PRON
ap-282	48	61	)	)	PUNCT
ap-282	48	62	b	b	NOUN
ap-282	48	63	)	)	PUNCT
ap-282	48	64	fig	fig	NOUN
ap-282	48	65	.	.	PUNCT
ap-282	49	1	3	3	NUM
ap-282	49	2	:	:	PUNCT
ap-282	49	3	envelope	envelope	NOUN
ap-282	49	4	distortion	distortion	NOUN
ap-282	49	5	on	on	ADP
ap-282	49	6	step	step	NOUN
ap-282	49	7	change	change	NOUN
ap-282	49	8	of	of	ADP
ap-282	49	9	harmonic	harmonic	ADJ
ap-282	49	10	signal	signal	NOUN
ap-282	49	11	,	,	PUNCT
ap-282	49	12	sampling	sample	VERB
ap-282	49	13	frequency	frequency	NOUN
ap-282	49	14	5	5	NUM
ap-282	49	15	khz	khz	NOUN
ap-282	49	16	,	,	PUNCT
ap-282	49	17	�	�	PROPN
ap-282	49	18	=	=	NOUN
ap-282	49	19	0	0	NUM
ap-282	49	20	a	a	DET
ap-282	49	21	)	)	PUNCT
ap-282	49	22	�	�	PROPN
ap-282	49	23	�	�	PROPN
ap-282	49	24	�	�	PROPN
ap-282	49	25	�	�	PROPN
ap-282	49	26	�	�	PROPN
ap-282	49	27	�	�	PROPN
ap-282	49	28	�	�	PROPN
ap-282	49	29	�	�	PROPN
ap-282	49	30	�	�	PROPN
ap-282	49	31	�	�	PROPN
ap-282	49	32	�	�	PROPN
ap-282	49	33	x	x	SYM
ap-282	49	34	t	t	PROPN
ap-282	49	35	t	t	PROPN
ap-282	49	36	sign	sign	PROPN
ap-282	49	37	t	t	PROPN
ap-282	49	38	sign	sign	PROPN
ap-282	49	39	t	t	PROPN
ap-282	49	40	�	�	PROPN
ap-282	49	41	�	�	PROPN
ap-282	49	42	�	�	PROPN
ap-282	49	43	�	�	PROPN
ap-282	49	44	�	�	PROPN
ap-282	49	45	�	�	PROPN
ap-282	49	46	sin	sin	NOUN
ap-282	49	47	.	.	PUNCT
ap-282	49	48	.	.	PUNCT
ap-282	50	1	.2	.2	NUM
ap-282	50	2	10	10	NUM
ap-282	50	3	1	1	NUM
ap-282	50	4	0	0	NUM
ap-282	50	5	5	5	NUM
ap-282	50	6	0	0	NUM
ap-282	50	7	3	3	NUM
ap-282	50	8	07	07	NUM
ap-282	50	9	�	�	PROPN
ap-282	50	10	�	�	PROPN
ap-282	50	11	b	b	PROPN
ap-282	50	12	)	)	PUNCT
ap-282	50	13	�	�	PROPN
ap-282	50	14	�	�	PROPN
ap-282	50	15	�	�	PROPN
ap-282	50	16	�	�	PROPN
ap-282	50	17	�	�	PROPN
ap-282	50	18	�	�	PROPN
ap-282	50	19	�	�	PROPN
ap-282	50	20	�	�	PROPN
ap-282	50	21	�	�	PROPN
ap-282	50	22	�	�	PROPN
ap-282	50	23	�	�	PROPN
ap-282	50	24	x	x	SYM
ap-282	50	25	t	t	PROPN
ap-282	50	26	t	t	PROPN
ap-282	50	27	sign	sign	PROPN
ap-282	50	28	t	t	PROPN
ap-282	50	29	sign	sign	PROPN
ap-282	50	30	t	t	PROPN
ap-282	50	31	�	�	PROPN
ap-282	50	32	�	�	PROPN
ap-282	50	33	�	�	PROPN
ap-282	50	34	�	�	PROPN
ap-282	50	35	�	�	PROPN
ap-282	50	36	�	�	PROPN
ap-282	50	37	sin	sin	NOUN
ap-282	50	38	.	.	PUNCT
ap-282	50	39	.	.	PUNCT
ap-282	51	1	.2	.2	NUM
ap-282	51	2	10	10	NUM
ap-282	51	3	1	1	NUM
ap-282	51	4	0	0	NUM
ap-282	51	5	5	5	NUM
ap-282	51	6	0	0	NUM
ap-282	51	7	35	35	NUM
ap-282	51	8	075	075	NUM
ap-282	51	9	�	�	PROPN
ap-282	51	10	�	�	PROPN
ap-282	51	11	figure	figure	NOUN
ap-282	51	12	4	4	NUM
ap-282	51	13	is	be	AUX
ap-282	51	14	a	a	DET
ap-282	51	15	recapitulation	recapitulation	NOUN
ap-282	51	16	of	of	ADP
ap-282	51	17	the	the	DET
ap-282	51	18	systematic	systematic	ADJ
ap-282	51	19	errors	error	NOUN
ap-282	51	20	and	and	CCONJ
ap-282	51	21	a	a	DET
ap-282	51	22	recapitulation	recapitulation	NOUN
ap-282	51	23	of	of	ADP
ap-282	51	24	the	the	DET
ap-282	51	25	theoretical	theoretical	ADJ
ap-282	51	26	values	value	NOUN
ap-282	51	27	of	of	ADP
ap-282	51	28	the	the	DET
ap-282	51	29	overshoots	overshoot	NOUN
ap-282	51	30	during	during	ADP
ap-282	51	31	the	the	DET
ap-282	51	32	step	step	NOUN
ap-282	51	33	change	change	NOUN
ap-282	51	34	.	.	PUNCT
ap-282	52	1	the	the	DET
ap-282	52	2	recapitulation	recapitulation	NOUN
ap-282	52	3	is	be	AUX
ap-282	52	4	done	do	VERB
ap-282	52	5	for	for	ADP
ap-282	52	6	the	the	DET
ap-282	52	7	harmonic	harmonic	ADJ
ap-282	52	8	signal	signal	PROPN
ap-282	52	9	�	�	PROPN
ap-282	52	10	�	�	PROPN
ap-282	52	11	�	�	PROPN
ap-282	52	12	�	�	PROPN
ap-282	52	13	�	�	PROPN
ap-282	52	14	�	�	PROPN
ap-282	52	15	x	x	PROPN
ap-282	52	16	t	t	PROPN
ap-282	52	17	e	e	PROPN
ap-282	52	18	t	t	PROPN
ap-282	52	19	t	t	PROPN
ap-282	52	20	�	�	PROPN
ap-282	52	21	�	�	PROPN
ap-282	52	22	sin	sin	NOUN
ap-282	52	23	2	2	NUM
ap-282	52	24	10	10	NUM
ap-282	52	25	�	�	PROPN
ap-282	52	26	�	�	PROPN
ap-282	52	27	for	for	ADP
ap-282	52	28	the	the	DET
ap-282	52	29	phase	phase	NOUN
ap-282	52	30	shift	shift	NOUN
ap-282	52	31	�	�	PROPN
ap-282	52	32	�	�	PROPN
ap-282	52	33	0	0	NUM
ap-282	53	1	and	and	CCONJ
ap-282	53	2	for	for	ADP
ap-282	53	3	phase	phase	NOUN
ap-282	53	4	shift	shift	NOUN
ap-282	53	5	�	�	PROPN
ap-282	53	6	�	�	PROPN
ap-282	53	7	�	�	PROPN
ap-282	53	8	2	2	NUM
ap-282	53	9	.	.	PUNCT
ap-282	54	1	the	the	DET
ap-282	54	2	step	step	NOUN
ap-282	54	3	change	change	NOUN
ap-282	54	4	from	from	ADP
ap-282	54	5	�	�	PROPN
ap-282	54	6	�	�	PROPN
ap-282	54	7	e	e	PROPN
ap-282	54	8	t	t	PROPN
ap-282	54	9	�	�	PROPN
ap-282	54	10	0	0	NUM
ap-282	54	11	to	to	ADP
ap-282	54	12	�	�	PROPN
ap-282	54	13	�	�	PROPN
ap-282	54	14	e	e	PROPN
ap-282	54	15	t	t	NOUN
ap-282	54	16	�	�	PROPN
ap-282	54	17	1is	1is	NOUN
ap-282	54	18	in	in	ADP
ap-282	54	19	time	time	NOUN
ap-282	54	20	t	t	PROPN
ap-282	54	21	�	�	PROPN
ap-282	54	22	0	0	NUM
ap-282	54	23	.	.	PUNCT
ap-282	55	1	the	the	DET
ap-282	55	2	following	follow	VERB
ap-282	55	3	lines	line	NOUN
ap-282	55	4	show	show	VERB
ap-282	55	5	recapitulate	recapitulate	VERB
ap-282	55	6	the	the	DET
ap-282	55	7	errors	error	NOUN
ap-282	55	8	from	from	ADP
ap-282	55	9	fig	fig	NOUN
ap-282	55	10	.	.	PUNCT
ap-282	56	1	4	4	NUM
ap-282	56	2	:	:	PUNCT
ap-282	56	3	a	a	X
ap-282	56	4	)	)	PUNCT
ap-282	56	5	for	for	ADP
ap-282	56	6	�	�	PROPN
ap-282	56	7	�	�	PROPN
ap-282	56	8	0	0	NUM
ap-282	56	9	and	and	CCONJ
ap-282	56	10	step	step	NOUN
ap-282	56	11	change	change	NOUN
ap-282	56	12	at	at	ADP
ap-282	56	13	time	time	NOUN
ap-282	56	14	t	t	PROPN
ap-282	56	15	�	�	PROPN
ap-282	56	16	0	0	PUNCT
ap-282	57	1	the	the	DET
ap-282	57	2	envelope	envelope	NOUN
ap-282	57	3	of	of	ADP
ap-282	57	4	signal	signal	PROPN
ap-282	57	5	x(t	x(t	PROPN
ap-282	57	6	)	)	PUNCT
ap-282	57	7	has	have	AUX
ap-282	57	8	:	:	PUNCT
ap-282	57	9	�	�	VERB
ap-282	57	10	the	the	DET
ap-282	57	11	first	first	ADJ
ap-282	57	12	maximum	maximum	ADJ
ap-282	57	13	overshoot	overshoot	NOUN
ap-282	57	14	(	(	PUNCT
ap-282	57	15	point	point	NOUN
ap-282	57	16	p1	p1	NOUN
ap-282	57	17	)	)	PUNCT
ap-282	57	18	50	50	NUM
ap-282	57	19	%	%	NOUN
ap-282	57	20	,	,	PUNCT
ap-282	57	21	at	at	ADP
ap-282	57	22	time	time	NOUN
ap-282	57	23	t	t	PROPN
ap-282	57	24	=	=	SYM
ap-282	57	25	0	0	NUM
ap-282	57	26	ms	ms	PROPN
ap-282	57	27	�	�	PROPN
ap-282	57	28	the	the	DET
ap-282	57	29	second	second	ADJ
ap-282	57	30	maximum	maximum	ADJ
ap-282	57	31	overshoot	overshoot	NOUN
ap-282	57	32	(	(	PUNCT
ap-282	57	33	point	point	NOUN
ap-282	57	34	m1	m1	NOUN
ap-282	57	35	)	)	PUNCT
ap-282	57	36	9.06	9.06	NUM
ap-282	57	37	%	%	NOUN
ap-282	57	38	,	,	PUNCT
ap-282	57	39	in	in	ADP
ap-282	57	40	time	time	NOUN
ap-282	57	41	t	t	NOUN
ap-282	57	42	=	=	SYM
ap-282	57	43	0.045	0.045	NUM
ap-282	57	44	ms	ms	NOUN
ap-282	57	45	,	,	PUNCT
ap-282	57	46	i.e.	i.e.	X
ap-282	57	47	,	,	PUNCT
ap-282	57	48	0.45	0.45	NUM
ap-282	57	49	of	of	ADP
ap-282	57	50	the	the	DET
ap-282	57	51	signal	signal	NOUN
ap-282	57	52	,	,	PUNCT
ap-282	57	53	�	�	NOUN
ap-282	57	54	stabilization	stabilization	NOUN
ap-282	57	55	(	(	PUNCT
ap-282	57	56	ripple	ripple	VERB
ap-282	57	57	<	<	X
ap-282	57	58	1	1	NUM
ap-282	57	59	%	%	NOUN
ap-282	57	60	)	)	PUNCT
ap-282	57	61	(	(	PUNCT
ap-282	57	62	point	point	NOUN
ap-282	57	63	u1	u1	NOUN
ap-282	57	64	)	)	PUNCT
ap-282	57	65	,	,	PUNCT
ap-282	57	66	at	at	ADP
ap-282	57	67	time	time	NOUN
ap-282	57	68	t	t	NOUN
ap-282	57	69	=	=	SYM
ap-282	57	70	0.405	0.405	NUM
ap-282	57	71	ms	ms	NOUN
ap-282	57	72	,	,	PUNCT
ap-282	57	73	i.e.	i.e.	X
ap-282	57	74	,	,	PUNCT
ap-282	57	75	4.05	4.05	NUM
ap-282	57	76	of	of	ADP
ap-282	57	77	the	the	DET
ap-282	57	78	harmonic	harmonic	ADJ
ap-282	57	79	signal	signal	NOUN
ap-282	57	80	period	period	NOUN
ap-282	57	81	.	.	PUNCT
ap-282	58	1	b	b	X
ap-282	58	2	)	)	PUNCT
ap-282	58	3	for	for	ADP
ap-282	58	4	�	�	PROPN
ap-282	58	5	�	�	PROPN
ap-282	58	6	�	�	PROPN
ap-282	58	7	2	2	NUM
ap-282	58	8	and	and	CCONJ
ap-282	58	9	step	step	NOUN
ap-282	58	10	change	change	NOUN
ap-282	58	11	at	at	ADP
ap-282	58	12	time	time	NOUN
ap-282	58	13	t	t	PROPN
ap-282	58	14	�	�	PROPN
ap-282	58	15	0	0	PUNCT
ap-282	59	1	the	the	DET
ap-282	59	2	envelope	envelope	NOUN
ap-282	59	3	of	of	ADP
ap-282	59	4	signal	signal	PROPN
ap-282	59	5	x(t	x(t	PROPN
ap-282	59	6	)	)	PUNCT
ap-282	59	7	has	have	AUX
ap-282	59	8	:	:	PUNCT
ap-282	59	9	�	�	VERB
ap-282	59	10	the	the	DET
ap-282	59	11	first	first	ADJ
ap-282	59	12	maximum	maximum	ADJ
ap-282	59	13	overshoot	overshoot	NOUN
ap-282	59	14	(	(	PUNCT
ap-282	59	15	point	point	NOUN
ap-282	59	16	p2	p2	NOUN
ap-282	59	17	)	)	PUNCT
ap-282	59	18	�	�	PROPN
ap-282	59	19	,	,	PUNCT
ap-282	59	20	at	at	ADP
ap-282	59	21	time	time	NOUN
ap-282	59	22	t	t	PROPN
ap-282	59	23	=	=	SYM
ap-282	59	24	0	0	NUM
ap-282	59	25	ms	ms	PROPN
ap-282	59	26	,	,	PUNCT
ap-282	59	27	�	�	PROPN
ap-282	59	28	the	the	DET
ap-282	59	29	second	second	ADJ
ap-282	59	30	maximum	maximum	ADJ
ap-282	59	31	overshoot	overshoot	NOUN
ap-282	59	32	(	(	PUNCT
ap-282	59	33	point	point	NOUN
ap-282	59	34	m2	m2	PROPN
ap-282	59	35	)	)	PUNCT
ap-282	59	36	9.44	9.44	NUM
ap-282	59	37	%	%	NOUN
ap-282	59	38	,	,	PUNCT
ap-282	59	39	at	at	ADP
ap-282	59	40	time	time	NOUN
ap-282	59	41	t	t	PROPN
ap-282	59	42	=	=	SYM
ap-282	59	43	0.012	0.012	NUM
ap-282	59	44	ms	ms	PROPN
ap-282	59	45	,	,	PUNCT
ap-282	59	46	i.e.	i.e.	X
ap-282	59	47	,	,	PUNCT
ap-282	59	48	0.12	0.12	NUM
ap-282	59	49	of	of	ADP
ap-282	59	50	the	the	DET
ap-282	59	51	signal	signal	ADJ
ap-282	59	52	period	period	NOUN
ap-282	59	53	,	,	PUNCT
ap-282	59	54	�	�	NOUN
ap-282	59	55	stabilization	stabilization	NOUN
ap-282	59	56	(	(	PUNCT
ap-282	59	57	ripple	ripple	VERB
ap-282	59	58	<	<	X
ap-282	59	59	1	1	NUM
ap-282	59	60	%	%	NOUN
ap-282	59	61	)	)	PUNCT
ap-282	59	62	(	(	PUNCT
ap-282	59	63	point	point	NOUN
ap-282	59	64	u2	u2	PROPN
ap-282	59	65	)	)	PUNCT
ap-282	59	66	,	,	PUNCT
ap-282	59	67	at	at	ADP
ap-282	59	68	time	time	NOUN
ap-282	59	69	t	t	PROPN
ap-282	59	70	=	=	PROPN
ap-282	59	71	0.080	0.080	NUM
ap-282	59	72	ms	ms	PROPN
ap-282	59	73	,	,	PUNCT
ap-282	59	74	i.e.	i.e.	X
ap-282	59	75	,	,	PUNCT
ap-282	59	76	0.80	0.80	NUM
ap-282	59	77	of	of	ADP
ap-282	59	78	the	the	DET
ap-282	59	79	harmonic	harmonic	ADJ
ap-282	59	80	signal	signal	NOUN
ap-282	59	81	period	period	NOUN
ap-282	59	82	.	.	PUNCT
ap-282	60	1	an	an	DET
ap-282	60	2	analytical	analytical	ADJ
ap-282	60	3	calculation	calculation	NOUN
ap-282	60	4	of	of	ADP
ap-282	60	5	the	the	DET
ap-282	60	6	theoretical	theoretical	ADJ
ap-282	60	7	overshoot	overshoot	NOUN
ap-282	60	8	values	value	NOUN
ap-282	60	9	of	of	ADP
ap-282	60	10	points	point	NOUN
ap-282	60	11	p1	p1	NOUN
ap-282	60	12	and	and	CCONJ
ap-282	60	13	p2	p2	PROPN
ap-282	60	14	is	be	AUX
ap-282	60	15	given	give	VERB
ap-282	60	16	in	in	ADP
ap-282	60	17	section	section	NOUN
ap-282	60	18	3.3	3.3	NUM
ap-282	60	19	.	.	PUNCT
ap-282	61	1	3	3	NUM
ap-282	61	2	analytical	analytical	ADJ
ap-282	61	3	calculation	calculation	NOUN
ap-282	61	4	of	of	ADP
ap-282	61	5	envelope	envelope	NOUN
ap-282	61	6	overshoots	overshoot	NOUN
ap-282	61	7	this	this	DET
ap-282	61	8	section	section	NOUN
ap-282	61	9	gives	give	VERB
ap-282	61	10	a	a	DET
ap-282	61	11	mathematical	mathematical	ADJ
ap-282	61	12	analysis	analysis	NOUN
ap-282	61	13	of	of	ADP
ap-282	61	14	envelope	envelope	NOUN
ap-282	61	15	behavior	behavior	NOUN
ap-282	61	16	(	(	PUNCT
ap-282	61	17	parasitic	parasitic	ADJ
ap-282	61	18	overshoots	overshoot	NOUN
ap-282	61	19	)	)	PUNCT
ap-282	61	20	based	base	VERB
ap-282	61	21	on	on	ADP
ap-282	61	22	discovering	discover	VERB
ap-282	61	23	the	the	DET
ap-282	61	24	“	"	PUNCT
ap-282	61	25	non	non	X
ap-282	61	26	standard	standard	NOUN
ap-282	61	27	”	"	PUNCT
ap-282	61	28	behavior	behavior	NOUN
ap-282	61	29	of	of	ADP
ap-282	61	30	the	the	DET
ap-282	61	31	envelope	envelope	NOUN
ap-282	61	32	(	(	PUNCT
ap-282	61	33	described	describe	VERB
ap-282	61	34	in	in	ADP
ap-282	61	35	the	the	DET
ap-282	61	36	previous	previous	ADJ
ap-282	61	37	chapter	chapter	NOUN
ap-282	61	38	)	)	PUNCT
ap-282	61	39	calculated	calculate	VERB
ap-282	61	40	by	by	ADP
ap-282	61	41	the	the	DET
ap-282	61	42	hilbert	hilbert	PROPN
ap-282	61	43	transform	transform	NOUN
ap-282	61	44	in	in	ADP
ap-282	61	45	areas	area	NOUN
ap-282	61	46	of	of	ADP
ap-282	61	47	step	step	NOUN
ap-282	61	48	changes	change	NOUN
ap-282	61	49	.	.	PUNCT
ap-282	62	1	3.1	3.1	NUM
ap-282	62	2	.	.	PUNCT
ap-282	62	3	reason	reason	NOUN
ap-282	62	4	for	for	ADP
ap-282	62	5	envelope	envelope	NOUN
ap-282	62	6	overshoots	overshoot	NOUN
ap-282	62	7	as	as	SCONJ
ap-282	62	8	was	be	AUX
ap-282	62	9	said	say	VERB
ap-282	62	10	in	in	ADP
ap-282	62	11	the	the	DET
ap-282	62	12	introduction	introduction	NOUN
ap-282	62	13	,	,	PUNCT
ap-282	62	14	the	the	DET
ap-282	62	15	reason	reason	NOUN
ap-282	62	16	for	for	ADP
ap-282	62	17	these	these	DET
ap-282	62	18	overshoots	overshoot	NOUN
ap-282	62	19	is	be	AUX
ap-282	62	20	the	the	DET
ap-282	62	21	convolution	convolution	NOUN
ap-282	62	22	function	function	NOUN
ap-282	62	23	of	of	ADP
ap-282	62	24	the	the	DET
ap-282	62	25	hilbert	hilbert	PROPN
ap-282	62	26	transform	transform	VERB
ap-282	62	27	1	1	NUM
ap-282	62	28	�	�	NOUN
ap-282	62	29	t.	t.	NOUN
ap-282	62	30	this	this	DET
ap-282	62	31	function	function	NOUN
ap-282	62	32	for	for	ADP
ap-282	62	33	t	t	PROPN
ap-282	62	34	�	�	PROPN
ap-282	62	35	0	0	NUM
ap-282	62	36	reaches	reach	VERB
ap-282	62	37	as	as	ADP
ap-282	62	38	very	very	ADV
ap-282	62	39	high	high	ADJ
ap-282	62	40	values	value	NOUN
ap-282	62	41	,	,	PUNCT
ap-282	62	42	and	and	CCONJ
ap-282	62	43	for	for	ADP
ap-282	62	44	t	t	NOUN
ap-282	62	45	=	=	SYM
ap-282	62	46	0	0	NUM
ap-282	63	1	it	it	PRON
ap-282	63	2	is	be	AUX
ap-282	63	3	not	not	PART
ap-282	63	4	defined	define	VERB
ap-282	63	5	.	.	PUNCT
ap-282	64	1	thus	thus	ADV
ap-282	64	2	it	it	PRON
ap-282	64	3	is	be	AUX
ap-282	64	4	necessary	necessary	ADJ
ap-282	64	5	for	for	SCONJ
ap-282	64	6	the	the	DET
ap-282	64	7	integral	integral	NOUN
ap-282	64	8	of	of	ADP
ap-282	64	9	the	the	DET
ap-282	64	10	hilbert	hilbert	PROPN
ap-282	64	11	transform	transform	VERB
ap-282	64	12	�	�	PROPN
ap-282	64	13	�	�	PROPN
ap-282	64	14	�	�	PROPN
ap-282	64	15	�	�	PROPN
ap-282	64	16	~x	~x	PROPN
ap-282	64	17	t	t	PROPN
ap-282	64	18	x	x	SYM
ap-282	64	19	t	t	PROPN
ap-282	64	20	�	�	PROPN
ap-282	64	21	�	�	PROPN
ap-282	64	22	�	�	PROPN
ap-282	64	23	�	�	PROPN
ap-282	64	24	�	�	PROPN
ap-282	64	25	1	1	NUM
ap-282	64	26	�	�	PROPN
ap-282	64	27	�	�	PROPN
ap-282	64	28	�	�	PROPN
ap-282	64	29	�	�	PROPN
ap-282	64	30	d	d	PROPN
ap-282	64	31	(	(	PUNCT
ap-282	64	32	12	12	NUM
ap-282	64	33	)	)	PUNCT
ap-282	64	34	to	to	PART
ap-282	64	35	be	be	AUX
ap-282	64	36	calculated	calculate	VERB
ap-282	64	37	as	as	ADP
ap-282	64	38	the	the	DET
ap-282	64	39	values	value	NOUN
ap-282	64	40	of	of	ADP
ap-282	64	41	the	the	DET
ap-282	64	42	intrinsic	intrinsic	ADJ
ap-282	64	43	integral	integral	NOUN
ap-282	64	44	according	accord	VERB
ap-282	64	45	to	to	ADP
ap-282	64	46	the	the	DET
ap-282	64	47	equation	equation	NOUN
ap-282	64	48	�	�	PROPN
ap-282	64	49	�	�	PROPN
ap-282	64	50	�	�	PROPN
ap-282	64	51	�	�	PROPN
ap-282	64	52	�	�	PROPN
ap-282	64	53	�	�	PROPN
ap-282	64	54	~	~	PUNCT
ap-282	64	55	lim	lim	PROPN
ap-282	64	56	limx	limx	VERB
ap-282	64	57	t	t	PROPN
ap-282	64	58	x	x	PROPN
ap-282	65	1	t	t	PROPN
ap-282	65	2	x	x	SYM
ap-282	65	3	t	t	PROPN
ap-282	65	4	t	t	PROPN
ap-282	65	5	t	t	PROPN
ap-282	65	6	�	�	PROPN
ap-282	65	7	�	�	PROPN
ap-282	65	8	�	�	PROPN
ap-282	65	9	�	�	PROPN
ap-282	65	10	�	�	PROPN
ap-282	65	11	�	�	PROPN
ap-282	65	12	�	�	PROPN
ap-282	65	13	�	�	PROPN
ap-282	65	14	�	�	PROPN
ap-282	65	15	�	�	PROPN
ap-282	65	16	�	�	PROPN
ap-282	65	17	�	�	PROPN
ap-282	65	18	�	�	PROPN
ap-282	65	19	�	�	PROPN
ap-282	65	20	�	�	PROPN
ap-282	65	21	�	�	PROPN
ap-282	65	22	�	�	PROPN
ap-282	65	23	�	�	PROPN
ap-282	65	24	�	�	PROPN
ap-282	65	25	�	�	PROPN
ap-282	65	26	�	�	PROPN
ap-282	65	27	�	�	PROPN
ap-282	65	28	�	�	PROPN
ap-282	65	29	�	�	PROPN
ap-282	65	30	�	�	PROPN
ap-282	65	31	0	0	NUM
ap-282	65	32	0	0	NUM
ap-282	65	33	1	1	NUM
ap-282	65	34	1	1	NUM
ap-282	65	35	d	d	NOUN
ap-282	65	36	d	d	PROPN
ap-282	65	37	.	.	PUNCT
ap-282	66	1	(	(	PUNCT
ap-282	66	2	13	13	NUM
ap-282	66	3	)	)	PUNCT
ap-282	66	4	the	the	DET
ap-282	66	5	value	value	NOUN
ap-282	66	6	of	of	ADP
ap-282	66	7	the	the	DET
ap-282	66	8	integral	integral	ADJ
ap-282	66	9	is	be	AUX
ap-282	66	10	given	give	VERB
ap-282	66	11	by	by	ADP
ap-282	66	12	summation	summation	NOUN
ap-282	66	13	of	of	ADP
ap-282	66	14	limits	limit	NOUN
ap-282	66	15	.	.	PUNCT
ap-282	67	1	the	the	DET
ap-282	67	2	limits	limit	NOUN
ap-282	67	3	calculated	calculate	VERB
ap-282	67	4	from	from	ADP
ap-282	67	5	the	the	DET
ap-282	67	6	left	left	ADJ
ap-282	67	7	and	and	CCONJ
ap-282	67	8	right	right	ADJ
ap-282	67	9	side	side	NOUN
ap-282	67	10	have	have	VERB
ap-282	67	11	a	a	DET
ap-282	67	12	high	high	ADJ
ap-282	67	13	difference	difference	NOUN
ap-282	67	14	when	when	SCONJ
ap-282	67	15	the	the	DET
ap-282	67	16	calculation	calculation	NOUN
ap-282	67	17	is	be	AUX
ap-282	67	18	made	make	VERB
ap-282	67	19	at	at	ADP
ap-282	67	20	the	the	DET
ap-282	67	21	point	point	NOUN
ap-282	67	22	of	of	ADP
ap-282	67	23	the	the	DET
ap-282	67	24	step	step	NOUN
ap-282	67	25	change	change	NOUN
ap-282	67	26	.	.	PUNCT
ap-282	68	1	this	this	PRON
ap-282	68	2	is	be	AUX
ap-282	68	3	the	the	DET
ap-282	68	4	source	source	NOUN
ap-282	68	5	of	of	ADP
ap-282	68	6	the	the	DET
ap-282	68	7	overshoots	overshoot	NOUN
ap-282	68	8	in	in	ADP
ap-282	68	9	the	the	DET
ap-282	68	10	areas	area	NOUN
ap-282	68	11	with	with	ADP
ap-282	68	12	step	step	NOUN
ap-282	68	13	changes	change	NOUN
ap-282	68	14	.	.	PUNCT
ap-282	69	1	the	the	DET
ap-282	69	2	areas	area	NOUN
ap-282	69	3	of	of	ADP
ap-282	69	4	step	step	NOUN
ap-282	69	5	changes	change	NOUN
ap-282	69	6	are	be	AUX
ap-282	69	7	also	also	ADV
ap-282	69	8	the	the	DET
ap-282	69	9	beginning	beginning	NOUN
ap-282	69	10	and	and	CCONJ
ap-282	69	11	the	the	DET
ap-282	69	12	end	end	NOUN
ap-282	69	13	of	of	ADP
ap-282	69	14	measurement	measurement	NOUN
ap-282	69	15	signal	signal	NOUN
ap-282	69	16	.	.	PUNCT
ap-282	70	1	3.2	3.2	NUM
ap-282	70	2	overshoot	overshoot	NOUN
ap-282	70	3	amplitude	amplitude	NOUN
ap-282	70	4	calculation	calculation	NOUN
ap-282	70	5	of	of	ADP
ap-282	70	6	a	a	DET
ap-282	70	7	trapezoidal	trapezoidal	ADJ
ap-282	70	8	pulse	pulse	NOUN
ap-282	70	9	envelope	envelope	NOUN
ap-282	70	10	overshoot	overshoot	NOUN
ap-282	70	11	behavior	behavior	NOUN
ap-282	70	12	is	be	AUX
ap-282	70	13	mathematically	mathematically	ADV
ap-282	70	14	analyzed	analyze	VERB
ap-282	70	15	on	on	ADP
ap-282	70	16	the	the	DET
ap-282	70	17	basis	basis	NOUN
ap-282	70	18	of	of	ADP
ap-282	70	19	the	the	DET
ap-282	70	20	example	example	NOUN
ap-282	70	21	of	of	ADP
ap-282	70	22	the	the	DET
ap-282	70	23	impulse	impulse	NOUN
ap-282	70	24	combined	combine	VERB
ap-282	70	25	from	from	ADP
ap-282	70	26	a	a	DET
ap-282	70	27	trapezoidal	trapezoidal	ADJ
ap-282	70	28	and	and	CCONJ
ap-282	70	29	square	square	ADJ
ap-282	70	30	pulse	pulse	NOUN
ap-282	70	31	(	(	PUNCT
ap-282	70	32	further	far	ADV
ap-282	70	33	trapezoidal	trapezoidal	NOUN
ap-282	70	34	)	)	PUNCT
ap-282	70	35	.	.	PUNCT
ap-282	71	1	this	this	DET
ap-282	71	2	signal	signal	NOUN
ap-282	71	3	can	can	AUX
ap-282	71	4	simulate	simulate	VERB
ap-282	71	5	more	more	ADJ
ap-282	71	6	types	type	NOUN
ap-282	71	7	of	of	ADP
ap-282	71	8	signals	signal	NOUN
ap-282	71	9	by	by	ADP
ap-282	71	10	parameter	parameter	NOUN
ap-282	71	11	changes	change	NOUN
ap-282	71	12	.	.	PUNCT
ap-282	72	1	the	the	DET
ap-282	72	2	trapezoidal	trapezoidal	ADJ
ap-282	72	3	signal	signal	NOUN
ap-282	72	4	is	be	AUX
ap-282	72	5	shown	show	VERB
ap-282	72	6	in	in	ADP
ap-282	72	7	figure	figure	NOUN
ap-282	72	8	5	5	NUM
ap-282	72	9	.	.	PUNCT
ap-282	73	1	the	the	DET
ap-282	73	2	function	function	NOUN
ap-282	73	3	shown	show	VERB
ap-282	73	4	in	in	ADP
ap-282	73	5	figure	figure	NOUN
ap-282	73	6	5	5	NUM
ap-282	73	7	can	can	AUX
ap-282	73	8	be	be	AUX
ap-282	73	9	expressed	express	VERB
ap-282	73	10	as	as	ADP
ap-282	73	11	:	:	PUNCT
ap-282	73	12	�	�	PROPN
ap-282	73	13	�	�	PROPN
ap-282	73	14	�	�	PROPN
ap-282	73	15	�	�	PROPN
ap-282	73	16	x	x	PROPN
ap-282	73	17	t	t	PROPN
ap-282	73	18	t	t	PROPN
ap-282	73	19	t	t	PROPN
ap-282	73	20	t	t	PROPN
ap-282	73	21	t	t	PROPN
ap-282	73	22	e	e	PROPN
ap-282	73	23	t	t	PROPN
ap-282	73	24	t	t	PROPN
ap-282	73	25	t	t	PROPN
ap-282	73	26	t	t	PROPN
ap-282	73	27	t	t	PROPN
ap-282	73	28	t	t	PROPN
ap-282	73	29	g	g	PROPN
ap-282	73	30	t	t	PROPN
ap-282	73	31	t	t	PROPN
ap-282	73	32	t	t	PROPN
ap-282	73	33	g	g	PROPN
ap-282	73	34	t	t	PROPN
ap-282	73	35	t	t	PROPN
ap-282	73	36	t	t	PROPN
ap-282	73	37	t	t	PROPN
ap-282	73	38	t	t	PROPN
ap-282	73	39	�	�	PROPN
ap-282	73	40	�	�	PROPN
ap-282	73	41	�	�	PROPN
ap-282	73	42	�	�	PROPN
ap-282	73	43	�	�	PROPN
ap-282	73	44	�	�	PROPN
ap-282	73	45	�	�	PROPN
ap-282	73	46	�	�	PROPN
ap-282	73	47	0	0	NUM
ap-282	73	48	1	1	NUM
ap-282	73	49	8	8	NUM
ap-282	73	50	1	1	NUM
ap-282	73	51	3	3	NUM
ap-282	73	52	6	6	NUM
ap-282	73	53	8	8	NUM
ap-282	73	54	4	4	NUM
ap-282	73	55	5	5	NUM
ap-282	73	56	2	2	NUM
ap-282	73	57	4	4	NUM
ap-282	73	58	2	2	NUM
ap-282	73	59	3	3	NUM
ap-282	73	60	a	a	DET
ap-282	73	61	a	a	DET
ap-282	73	62	�	�	PROPN
ap-282	73	63	�	�	PROPN
ap-282	73	64	t	t	PROPN
ap-282	73	65	t	t	PROPN
ap-282	73	66	g	g	PROPN
ap-282	73	67	t	t	PROPN
ap-282	73	68	t	t	PROPN
ap-282	73	69	t	t	PROPN
ap-282	73	70	t	t	PROPN
ap-282	73	71	t	t	PROPN
ap-282	73	72	t	t	PROPN
ap-282	73	73	t	t	PROPN
ap-282	73	74	�	�	PROPN
ap-282	73	75	�	�	PROPN
ap-282	73	76	�	�	PROPN
ap-282	73	77	�	�	PROPN
ap-282	73	78	�	�	PROPN
ap-282	73	79	�	�	PROPN
ap-282	73	80	�	�	PROPN
ap-282	73	81	�	�	PROPN
ap-282	73	82	�	�	PROPN
ap-282	73	83	�	�	PROPN
ap-282	73	84	�	�	PROPN
ap-282	73	85	�	�	PROPN
ap-282	73	86	�	�	PROPN
ap-282	73	87	�	�	PROPN
ap-282	73	88	�	�	PROPN
ap-282	73	89	4	4	NUM
ap-282	73	90	7	7	NUM
ap-282	73	91	7	7	NUM
ap-282	73	92	5	5	NUM
ap-282	73	93	5	5	NUM
ap-282	73	94	6	6	NUM
ap-282	73	95	(	(	PUNCT
ap-282	73	96	14	14	NUM
ap-282	73	97	)	)	PUNCT
ap-282	73	98	26	26	NUM
ap-282	73	99	©	©	PROPN
ap-282	73	100	czech	czech	PROPN
ap-282	73	101	technical	technical	PROPN
ap-282	73	102	university	university	PROPN
ap-282	73	103	publishing	publishing	NOUN
ap-282	73	104	house	house	NOUN
ap-282	73	105	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-282	73	106	acta	acta	PROPN
ap-282	73	107	polytechnica	polytechnica	PROPN
ap-282	73	108	vol	vol	NOUN
ap-282	73	109	.	.	PUNCT
ap-282	74	1	41	41	NUM
ap-282	74	2	no	no	NOUN
ap-282	74	3	.	.	PUNCT
ap-282	75	1	6/2001	6/2001	NUM
ap-282	75	2	0	0	NUM
ap-282	75	3	50	50	NUM
ap-282	75	4	m1	m1	NOUN
ap-282	75	5	u2	u2	NOUN
ap-282	75	6	envelope	envelope	NOUN
ap-282	75	7	for	for	ADP
ap-282	75	8	envelope	envelope	NOUN
ap-282	75	9	for	for	ADP
ap-282	75	10	[	[	X
ap-282	75	11	%	%	X
ap-282	75	12	]	]	X
ap-282	75	13	2	2	NUM
ap-282	75	14	�	�	PROPN
ap-282	75	15	�	�	PROPN
ap-282	75	16	�	�	PROPN
ap-282	75	17	0	0	NUM
ap-282	75	18	�	�	PROPN
ap-282	75	19	�	�	PROPN
ap-282	75	20	2	2	NUM
ap-282	75	21	fig	fig	NOUN
ap-282	75	22	.	.	PUNCT
ap-282	76	1	4	4	NUM
ap-282	76	2	:	:	PUNCT
ap-282	76	3	envelope	envelope	NOUN
ap-282	76	4	error	error	NOUN
ap-282	76	5	evaluation	evaluation	NOUN
ap-282	76	6	of	of	ADP
ap-282	76	7	harmonic	harmonic	ADJ
ap-282	76	8	signal	signal	NOUN
ap-282	76	9	for	for	ADP
ap-282	76	10	a	a	DET
ap-282	76	11	step	step	NOUN
ap-282	76	12	change	change	NOUN
ap-282	76	13	in	in	ADP
ap-282	76	14	time	time	NOUN
ap-282	76	15	t	t	PROPN
ap-282	76	16	�	�	PROPN
ap-282	76	17	0	0	PUNCT
ap-282	77	1	e	e	NOUN
ap-282	77	2	g	g	PROPN
ap-282	77	3	x	x	SYM
ap-282	77	4	t	t	PROPN
ap-282	77	5	(	(	PUNCT
ap-282	77	6	)	)	PUNCT
ap-282	77	7	fig	fig	NOUN
ap-282	77	8	.	.	PUNCT
ap-282	78	1	5	5	NUM
ap-282	78	2	:	:	PUNCT
ap-282	78	3	the	the	DET
ap-282	78	4	pulse	pulse	NOUN
ap-282	78	5	combined	combine	VERB
ap-282	78	6	from	from	ADP
ap-282	78	7	a	a	DET
ap-282	78	8	trapezoidal	trapezoidal	ADJ
ap-282	78	9	and	and	CCONJ
ap-282	78	10	square	square	ADJ
ap-282	78	11	pulse	pulse	NOUN
ap-282	78	12	using	use	VERB
ap-282	78	13	equation	equation	NOUN
ap-282	78	14	(	(	PUNCT
ap-282	78	15	13	13	NUM
ap-282	78	16	)	)	PUNCT
ap-282	78	17	for	for	ADP
ap-282	78	18	the	the	DET
ap-282	78	19	quadrature	quadrature	NOUN
ap-282	78	20	part	part	NOUN
ap-282	78	21	of	of	ADP
ap-282	78	22	trapezoidal	trapezoidal	ADJ
ap-282	78	23	pulse	pulse	NOUN
ap-282	78	24	calculation	calculation	NOUN
ap-282	78	25	�	�	PROPN
ap-282	78	26	�	�	PROPN
ap-282	78	27	~	~	PUNCT
ap-282	78	28	limx	limx	PROPN
ap-282	79	1	t	t	PROPN
ap-282	79	2	e	e	PROPN
ap-282	79	3	t	t	PROPN
ap-282	79	4	g	g	PROPN
ap-282	79	5	t	t	PROPN
ap-282	79	6	t	t	PROPN
ap-282	79	7	t	t	PROPN
ap-282	79	8	t	t	PROPN
ap-282	79	9	t	t	PROPN
ap-282	79	10	t	t	PROPN
ap-282	79	11	t	t	PROPN
ap-282	79	12	t	t	PROPN
ap-282	79	13	�	�	PROPN
ap-282	79	14	�	�	PROPN
ap-282	79	15	�	�	PROPN
ap-282	79	16	�	�	PROPN
ap-282	79	17	�	�	PROPN
ap-282	79	18	�	�	PROPN
ap-282	79	19	�	�	PROPN
ap-282	79	20	�	�	PROPN
ap-282	79	21	�	�	PROPN
ap-282	79	22	�	�	PROPN
ap-282	79	23	�	�	PROPN
ap-282	79	24	�	�	PROPN
ap-282	79	25	�	�	PROPN
ap-282	79	26	�	�	PROPN
ap-282	79	27	�	�	PROPN
ap-282	79	28	�	�	PROPN
ap-282	79	29	�	�	PROPN
ap-282	79	30	�	�	PROPN
ap-282	79	31	�	�	PROPN
ap-282	79	32	�	�	PROPN
ap-282	79	33	�	�	PROPN
ap-282	79	34	0	0	NUM
ap-282	79	35	4	4	NUM
ap-282	79	36	2	2	NUM
ap-282	79	37	21	21	NUM
ap-282	79	38	1	1	NUM
ap-282	79	39	3	3	NUM
ap-282	79	40	3	3	NUM
ap-282	79	41	4	4	NUM
ap-282	79	42	d	d	NOUN
ap-282	79	43	d	d	X
ap-282	79	44	�	�	PROPN
ap-282	79	45	�	�	PROPN
ap-282	79	46	�	�	PROPN
ap-282	79	47	�	�	PROPN
ap-282	79	48	�	�	PROPN
ap-282	79	49	�	�	PROPN
ap-282	79	50	�	�	PROPN
ap-282	79	51	�	�	PROPN
ap-282	79	52	�	�	PROPN
ap-282	79	53	�	�	PROPN
ap-282	79	54	�	�	PROPN
ap-282	79	55	�	�	PROPN
ap-282	79	56	�	�	PROPN
ap-282	79	57	�	�	PROPN
ap-282	79	58	�	�	PROPN
ap-282	79	59	�	�	PROPN
ap-282	79	60	�	�	PROPN
ap-282	79	61	�	�	PROPN
ap-282	79	62	�	�	PROPN
ap-282	79	63	�	�	PROPN
ap-282	79	64	�	�	PROPN
ap-282	79	65	�	�	PROPN
ap-282	79	66	�	�	PROPN
ap-282	79	67	�	�	PROPN
ap-282	80	1	g	g	PROPN
ap-282	81	1	t	t	PROPN
ap-282	81	2	g	g	PROPN
ap-282	81	3	t	t	PROPN
ap-282	81	4	t	t	PROPN
ap-282	81	5	t	t	PROPN
ap-282	81	6	t	t	PROPN
ap-282	81	7	e	e	PROPN
ap-282	81	8	t	t	PROPN
ap-282	81	9	t	t	PROPN
ap-282	81	10	t	t	PROPN
ap-282	81	11	t	t	PROPN
ap-282	81	12	t	t	PROPN
ap-282	81	13	d	d	X
ap-282	81	14	d	d	PROPN
ap-282	81	15	d	d	PROPN
ap-282	81	16	4	4	NUM
ap-282	81	17	5	5	NUM
ap-282	81	18	5	5	NUM
ap-282	81	19	7	7	NUM
ap-282	81	20	7	7	NUM
ap-282	81	21	5	5	NUM
ap-282	81	22	7	7	NUM
ap-282	81	23	�	�	PROPN
ap-282	81	24	�	�	PROPN
ap-282	81	25	�	�	PROPN
ap-282	81	26	t	t	PROPN
ap-282	81	27	t	t	PROPN
ap-282	81	28	6	6	NUM
ap-282	81	29	8	8	NUM
ap-282	81	30	�	�	PROPN
ap-282	81	31	�	�	PROPN
ap-282	81	32	�	�	PROPN
ap-282	81	33	�	�	PROPN
ap-282	81	34	�	�	PROPN
ap-282	81	35	�	�	PROPN
ap-282	81	36	�	�	PROPN
ap-282	81	37	�	�	PROPN
ap-282	81	38	�	�	PROPN
ap-282	81	39	�	�	PROPN
ap-282	81	40	�	�	PROPN
ap-282	81	41	�	�	PROPN
ap-282	81	42	(	(	PUNCT
ap-282	81	43	15	15	NUM
ap-282	81	44	)	)	PUNCT
ap-282	81	45	figure	figure	NOUN
ap-282	81	46	6	6	NUM
ap-282	81	47	illustrates	illustrate	VERB
ap-282	81	48	the	the	DET
ap-282	81	49	quadrature	quadrature	NOUN
ap-282	81	50	part	part	NOUN
ap-282	81	51	�	�	PROPN
ap-282	81	52	�	�	PROPN
ap-282	81	53	~x	~x	SYM
ap-282	81	54	t	t	PROPN
ap-282	81	55	and	and	CCONJ
ap-282	81	56	envelope	envelope	PROPN
ap-282	81	57	�	�	PROPN
ap-282	81	58	�	�	PROPN
ap-282	81	59	�	�	PROPN
ap-282	81	60	�	�	PROPN
ap-282	81	61	�	�	PROPN
ap-282	81	62	�	�	PROPN
ap-282	81	63	e	e	PROPN
ap-282	81	64	t	t	NOUN
ap-282	81	65	x	x	SYM
ap-282	81	66	t	t	PROPN
ap-282	81	67	x	x	SYM
ap-282	81	68	t	t	PROPN
ap-282	81	69	�	�	PROPN
ap-282	81	70	�	�	PROPN
ap-282	81	71	2	2	NUM
ap-282	81	72	2~	2~	PROPN
ap-282	81	73	of	of	ADP
ap-282	81	74	signal	signal	PROPN
ap-282	81	75	�	�	PROPN
ap-282	81	76	�	�	PROPN
ap-282	81	77	x	x	PROPN
ap-282	81	78	t	t	NOUN
ap-282	81	79	calculated	calculate	VERB
ap-282	81	80	by	by	ADP
ap-282	81	81	equation	equation	NOUN
ap-282	81	82	(	(	PUNCT
ap-282	81	83	17	17	NUM
ap-282	81	84	)	)	PUNCT
ap-282	81	85	,	,	PUNCT
ap-282	81	86	defined	define	VERB
ap-282	81	87	by	by	ADP
ap-282	81	88	equation	equation	NOUN
ap-282	81	89	(	(	PUNCT
ap-282	81	90	14	14	NUM
ap-282	81	91	)	)	PUNCT
ap-282	81	92	.	.	PUNCT
ap-282	82	1	parameter	parameter	PROPN
ap-282	82	2	e	e	PROPN
ap-282	82	3	0	0	PROPN
ap-282	82	4	was	be	AUX
ap-282	82	5	chosen	choose	VERB
ap-282	82	6	to	to	PART
ap-282	82	7	provide	provide	VERB
ap-282	82	8	an	an	DET
ap-282	82	9	easier	easy	ADJ
ap-282	82	10	view	view	NOUN
ap-282	82	11	of	of	ADP
ap-282	82	12	the	the	DET
ap-282	82	13	quadrature	quadrature	NOUN
ap-282	82	14	part	part	NOUN
ap-282	82	15	and	and	CCONJ
ap-282	82	16	envelope	envelope	NOUN
ap-282	82	17	.	.	PUNCT
ap-282	83	1	the	the	DET
ap-282	83	2	dependency	dependency	NOUN
ap-282	83	3	of	of	ADP
ap-282	83	4	the	the	DET
ap-282	83	5	overshoot	overshoot	NOUN
ap-282	83	6	size	size	NOUN
ap-282	83	7	(	(	PUNCT
ap-282	83	8	figure	figure	NOUN
ap-282	83	9	6	6	NUM
ap-282	83	10	)	)	PUNCT
ap-282	83	11	on	on	ADP
ap-282	83	12	the	the	DET
ap-282	83	13	rising	rise	VERB
ap-282	83	14	edge	edge	NOUN
ap-282	83	15	gradient	gradient	NOUN
ap-282	83	16	is	be	AUX
ap-282	83	17	shown	show	VERB
ap-282	83	18	in	in	ADP
ap-282	83	19	figure	figure	NOUN
ap-282	83	20	7	7	NUM
ap-282	83	21	.	.	PUNCT
ap-282	84	1	this	this	DET
ap-282	84	2	gradient	gradient	NOUN
ap-282	84	3	is	be	AUX
ap-282	84	4	defined	define	VERB
ap-282	84	5	by	by	ADP
ap-282	84	6	parameter	parameter	PROPN
ap-282	84	7	s.	s.	PROPN
ap-282	85	1	the	the	DET
ap-282	85	2	dependency	dependency	NOUN
ap-282	85	3	is	be	AUX
ap-282	85	4	determined	determine	VERB
ap-282	85	5	numerically	numerically	ADV
ap-282	85	6	based	base	VERB
ap-282	85	7	,	,	PUNCT
ap-282	85	8	on	on	ADP
ap-282	85	9	any	any	DET
ap-282	85	10	analytical	analytical	ADJ
ap-282	85	11	expression	expression	NOUN
ap-282	85	12	of	of	ADP
ap-282	85	13	the	the	DET
ap-282	85	14	quadrature	quadrature	NOUN
ap-282	85	15	part	part	NOUN
ap-282	85	16	(	(	PUNCT
ap-282	85	17	17	17	NUM
ap-282	85	18	)	)	PUNCT
ap-282	85	19	.	.	PUNCT
ap-282	86	1	the	the	DET
ap-282	86	2	dependency	dependency	NOUN
ap-282	86	3	can	can	AUX
ap-282	86	4	not	not	PART
ap-282	86	5	be	be	AUX
ap-282	86	6	determined	determine	VERB
ap-282	86	7	analytically	analytically	ADV
ap-282	86	8	due	due	ADP
ap-282	86	9	to	to	ADP
ap-282	86	10	the	the	DET
ap-282	86	11	complexity	complexity	NOUN
ap-282	86	12	of	of	ADP
ap-282	86	13	equation	equation	NOUN
ap-282	86	14	(	(	PUNCT
ap-282	86	15	17	17	NUM
ap-282	86	16	)	)	PUNCT
ap-282	86	17	.	.	PUNCT
ap-282	87	1	finding	find	VERB
ap-282	87	2	the	the	DET
ap-282	87	3	local	local	ADJ
ap-282	87	4	extreme	extreme	NOUN
ap-282	87	5	by	by	ADP
ap-282	87	6	using	use	VERB
ap-282	87	7	the	the	DET
ap-282	87	8	first	first	ADJ
ap-282	87	9	derivative	derivative	NOUN
ap-282	87	10	and	and	CCONJ
ap-282	87	11	then	then	ADV
ap-282	87	12	getting	get	VERB
ap-282	87	13	the	the	DET
ap-282	87	14	overshoot	overshoot	NOUN
ap-282	87	15	dependency	dependency	NOUN
ap-282	87	16	is	be	AUX
ap-282	87	17	very	very	ADV
ap-282	87	18	difficult	difficult	ADJ
ap-282	87	19	.	.	PUNCT
ap-282	88	1	it	it	PRON
ap-282	88	2	is	be	AUX
ap-282	88	3	evident	evident	ADJ
ap-282	88	4	from	from	ADP
ap-282	88	5	the	the	DET
ap-282	88	6	graph	graph	NOUN
ap-282	88	7	that	that	SCONJ
ap-282	88	8	there	there	PRON
ap-282	88	9	is	be	VERB
ap-282	88	10	an	an	DET
ap-282	88	11	overshoot	overshoot	NOUN
ap-282	88	12	amplitude	amplitude	NOUN
ap-282	88	13	of	of	ADP
ap-282	88	14	50	50	NUM
ap-282	88	15	%	%	NOUN
ap-282	88	16	for	for	ADP
ap-282	88	17	gradient	gradient	NOUN
ap-282	88	18	s	s	PART
ap-282	88	19	=	=	PROPN
ap-282	88	20	46,2	46,2	NUM
ap-282	88	21	°	°	NOUN
ap-282	88	22	of	of	ADP
ap-282	88	23	the	the	DET
ap-282	88	24	rising	rise	VERB
ap-282	88	25	edge	edge	NOUN
ap-282	88	26	.	.	PUNCT
ap-282	89	1	it	it	PRON
ap-282	89	2	is	be	AUX
ap-282	89	3	derived	derive	VERB
ap-282	89	4	in	in	ADP
ap-282	89	5	[	[	X
ap-282	89	6	2	2	X
ap-282	89	7	]	]	PUNCT
ap-282	89	8	that	that	SCONJ
ap-282	89	9	the	the	DET
ap-282	89	10	quadrature	quadrature	NOUN
ap-282	89	11	part	part	NOUN
ap-282	89	12	of	of	ADP
ap-282	89	13	a	a	DET
ap-282	89	14	square	square	ADJ
ap-282	89	15	pulse	pulse	NOUN
ap-282	89	16	(	(	PUNCT
ap-282	89	17	a	a	DET
ap-282	89	18	trapezoidal	trapezoidal	ADJ
ap-282	89	19	pulse	pulse	NOUN
ap-282	89	20	with	with	ADP
ap-282	89	21	a	a	DET
ap-282	89	22	90	90	NUM
ap-282	89	23	°	°	NUM
ap-282	89	24	gradient	gradient	NOUN
ap-282	89	25	)	)	PUNCT
ap-282	89	26	reaches	reach	VERB
ap-282	89	27	an	an	DET
ap-282	89	28	infinite	infinite	ADJ
ap-282	89	29	value	value	NOUN
ap-282	89	30	at	at	ADP
ap-282	89	31	this	this	DET
ap-282	89	32	point	point	NOUN
ap-282	89	33	.	.	PUNCT
ap-282	90	1	the	the	DET
ap-282	90	2	difference	difference	NOUN
ap-282	90	3	between	between	ADP
ap-282	90	4	the	the	DET
ap-282	90	5	theoretical	theoretical	ADJ
ap-282	90	6	amplitude	amplitude	NOUN
ap-282	90	7	(	(	PUNCT
ap-282	90	8	�	�	NOUN
ap-282	90	9	)	)	PUNCT
ap-282	90	10	and	and	CCONJ
ap-282	90	11	the	the	DET
ap-282	90	12	amplitude	amplitude	NOUN
ap-282	90	13	given	give	VERB
ap-282	90	14	numerically	numerically	ADV
ap-282	90	15	(	(	PUNCT
ap-282	90	16	250	250	NUM
ap-282	90	17	%	%	NOUN
ap-282	90	18	,	,	PUNCT
ap-282	90	19	see	see	VERB
ap-282	90	20	figure	figure	NOUN
ap-282	90	21	7	7	NUM
ap-282	90	22	)	)	PUNCT
ap-282	90	23	is	be	AUX
ap-282	90	24	due	due	ADJ
ap-282	90	25	to	to	ADP
ap-282	90	26	numerical	numerical	ADJ
ap-282	90	27	calculation	calculation	NOUN
ap-282	90	28	.	.	PUNCT
ap-282	91	1	numerical	numerical	ADJ
ap-282	91	2	calculation	calculation	NOUN
ap-282	91	3	is	be	AUX
ap-282	91	4	not	not	PART
ap-282	91	5	able	able	ADJ
ap-282	91	6	to	to	PART
ap-282	91	7	simulate	simulate	VERB
ap-282	91	8	a	a	DET
ap-282	91	9	trapezoidal	trapezoidal	ADJ
ap-282	91	10	pulse	pulse	NOUN
ap-282	91	11	with	with	ADP
ap-282	91	12	a	a	DET
ap-282	91	13	90	90	NUM
ap-282	91	14	°	°	NOUN
ap-282	91	15	gradient	gradient	NOUN
ap-282	91	16	according	accord	VERB
ap-282	91	17	to	to	ADP
ap-282	91	18	the	the	DET
ap-282	91	19	finite	finite	ADJ
ap-282	91	20	distance	distance	NOUN
ap-282	91	21	of	of	ADP
ap-282	91	22	two	two	NUM
ap-282	91	23	following	follow	VERB
ap-282	91	24	time	time	NOUN
ap-282	91	25	samples	sample	NOUN
ap-282	91	26	.	.	PUNCT
ap-282	92	1	the	the	DET
ap-282	92	2	maximum	maximum	PROPN
ap-282	92	3	gradient	gradient	NOUN
ap-282	92	4	that	that	PRON
ap-282	92	5	can	can	AUX
ap-282	92	6	be	be	AUX
ap-282	92	7	found	find	VERB
ap-282	92	8	by	by	ADP
ap-282	92	9	numerical	numerical	ADJ
ap-282	92	10	calculation	calculation	NOUN
ap-282	92	11	is	be	AUX
ap-282	92	12	given	give	VERB
ap-282	92	13	by	by	ADP
ap-282	92	14	�	�	PROPN
ap-282	92	15	�	�	PROPN
ap-282	92	16	�	�	PROPN
ap-282	92	17	s	s	PART
ap-282	92	18	g	g	PROPN
ap-282	92	19	e	e	PROPN
ap-282	92	20	fmax	fmax	PROPN
ap-282	92	21	�	�	PROPN
ap-282	92	22	�	�	PROPN
ap-282	92	23	180	180	NUM
ap-282	92	24	�	�	PROPN
ap-282	92	25	atan	atan	PROPN
ap-282	92	26	vz	vz	PROPN
ap-282	92	27	(	(	PUNCT
ap-282	92	28	18	18	NUM
ap-282	92	29	)	)	PUNCT
ap-282	92	30	where	where	SCONJ
ap-282	92	31	fvz	fvz	NOUN
ap-282	92	32	is	be	AUX
ap-282	92	33	the	the	DET
ap-282	92	34	sampling	sample	VERB
ap-282	92	35	frequency	frequency	NOUN
ap-282	92	36	.	.	PUNCT
ap-282	93	1	it	it	PRON
ap-282	93	2	is	be	AUX
ap-282	93	3	possible	possible	ADJ
ap-282	93	4	to	to	PART
ap-282	93	5	reach	reach	VERB
ap-282	93	6	the	the	DET
ap-282	93	7	gradient	gradient	NOUN
ap-282	93	8	smax	smax	PROPN
ap-282	93	9	=	=	PUNCT
ap-282	93	10	89.942	89.942	NUM
ap-282	93	11	°	°	NOUN
ap-282	93	12	for	for	ADP
ap-282	93	13	fvz	fvz	NOUN
ap-282	93	14	=	=	SYM
ap-282	93	15	1	1	NUM
ap-282	93	16	khz	khz	NOUN
ap-282	93	17	and	and	CCONJ
ap-282	93	18	g	g	PROPN
ap-282	93	19	�	�	PROPN
ap-282	93	20	e	e	X
ap-282	93	21	=	=	SYM
ap-282	93	22	1	1	NUM
ap-282	93	23	,	,	PUNCT
ap-282	93	24	smax	smax	PROPN
ap-282	93	25	=	=	PROPN
ap-282	93	26	89.999	89.999	NUM
ap-282	93	27	°	°	NOUN
ap-282	93	28	for	for	ADP
ap-282	93	29	fvz	fvz	NOUN
ap-282	93	30	=	=	SYM
ap-282	93	31	1	1	NUM
ap-282	93	32	mhz	mhz	NOUN
ap-282	93	33	.	.	PUNCT
ap-282	94	1	further	far	ADV
ap-282	94	2	increasing	increase	VERB
ap-282	94	3	of	of	ADP
ap-282	94	4	the	the	DET
ap-282	94	5	sampling	sample	VERB
ap-282	94	6	frequency	frequency	NOUN
ap-282	94	7	only	only	ADV
ap-282	94	8	very	very	ADV
ap-282	94	9	slowly	slowly	ADV
ap-282	94	10	reaches	reach	VERB
ap-282	94	11	the	the	DET
ap-282	94	12	theoretical	theoretical	ADJ
ap-282	94	13	infinite	infinite	ADJ
ap-282	94	14	amplitude	amplitude	NOUN
ap-282	94	15	.	.	PUNCT
ap-282	95	1	3.3	3.3	NUM
ap-282	95	2	overshoot	overshoot	NOUN
ap-282	95	3	amplitude	amplitude	NOUN
ap-282	95	4	calculation	calculation	NOUN
ap-282	95	5	of	of	ADP
ap-282	95	6	a	a	DET
ap-282	95	7	harmonic	harmonic	ADJ
ap-282	95	8	signal	signal	NOUN
ap-282	95	9	modulated	modulate	VERB
ap-282	95	10	by	by	ADP
ap-282	95	11	a	a	DET
ap-282	95	12	trapezoidal	trapezoidal	ADJ
ap-282	95	13	pulse	pulse	NOUN
ap-282	95	14	the	the	DET
ap-282	95	15	following	follow	VERB
ap-282	95	16	section	section	NOUN
ap-282	95	17	describes	describe	VERB
ap-282	95	18	the	the	DET
ap-282	95	19	same	same	ADJ
ap-282	95	20	analytical	analytical	ADJ
ap-282	95	21	calculation	calculation	NOUN
ap-282	95	22	as	as	ADP
ap-282	95	23	in	in	ADP
ap-282	95	24	the	the	DET
ap-282	95	25	previous	previous	ADJ
ap-282	95	26	chapter	chapter	NOUN
ap-282	95	27	,	,	PUNCT
ap-282	95	28	but	but	CCONJ
ap-282	95	29	for	for	ADP
ap-282	95	30	a	a	DET
ap-282	95	31	harmonic	harmonic	ADJ
ap-282	95	32	signal	signal	NOUN
ap-282	95	33	modulated	modulate	VERB
ap-282	95	34	by	by	ADP
ap-282	95	35	the	the	DET
ap-282	95	36	trapezoidal	trapezoidal	ADJ
ap-282	95	37	pulse	pulse	NOUN
ap-282	95	38	shown	show	VERB
ap-282	95	39	in	in	ADP
ap-282	95	40	figure	figure	NOUN
ap-282	95	41	8	8	NUM
ap-282	95	42	.	.	PUNCT
ap-282	96	1	the	the	DET
ap-282	96	2	function	function	NOUN
ap-282	96	3	in	in	ADP
ap-282	96	4	figure	figure	NOUN
ap-282	96	5	8	8	NUM
ap-282	96	6	can	can	AUX
ap-282	96	7	be	be	AUX
ap-282	96	8	expressed	express	VERB
ap-282	96	9	as	as	ADP
ap-282	96	10	:	:	PUNCT
ap-282	96	11	�	�	PROPN
ap-282	96	12	�	�	PROPN
ap-282	96	13	�	�	PROPN
ap-282	96	14	�	�	PROPN
ap-282	96	15	�	�	PROPN
ap-282	96	16	�	�	PROPN
ap-282	97	1	x	x	SYM
ap-282	97	2	t	t	PROPN
ap-282	97	3	t	t	PROPN
ap-282	97	4	t	t	PROPN
ap-282	97	5	t	t	PROPN
ap-282	97	6	t	t	PROPN
ap-282	97	7	e	e	PROPN
ap-282	97	8	t	t	PROPN
ap-282	97	9	t	t	PROPN
ap-282	97	10	t	t	PROPN
ap-282	97	11	t	t	PROPN
ap-282	97	12	t	t	PROPN
ap-282	97	13	t	t	PROPN
ap-282	97	14	t	t	PROPN
ap-282	97	15	g	g	PROPN
ap-282	97	16	t	t	PROPN
ap-282	97	17	t	t	PROPN
ap-282	97	18	t	t	PROPN
ap-282	97	19	t	t	PROPN
ap-282	97	20	�	�	PROPN
ap-282	97	21	�	�	PROPN
ap-282	97	22	�	�	PROPN
ap-282	97	23	�	�	PROPN
ap-282	97	24	�	�	PROPN
ap-282	97	25	�	�	PROPN
ap-282	97	26	�	�	PROPN
ap-282	97	27	�	�	PROPN
ap-282	97	28	�	�	PROPN
ap-282	97	29	�	�	PROPN
ap-282	97	30	�	�	PROPN
ap-282	97	31	0	0	NUM
ap-282	97	32	1	1	NUM
ap-282	97	33	8	8	NUM
ap-282	97	34	1	1	NUM
ap-282	97	35	3	3	NUM
ap-282	97	36	6	6	NUM
ap-282	97	37	8	8	NUM
ap-282	97	38	4	4	NUM
ap-282	97	39	a	a	DET
ap-282	97	40	acos	acos	PROPN
ap-282	97	41	cos	cos	PROPN
ap-282	97	42	�	�	PROPN
ap-282	97	43	�	�	PROPN
ap-282	97	44	�	�	PROPN
ap-282	97	45	�	�	PROPN
ap-282	97	46	�	�	PROPN
ap-282	97	47	�	�	PROPN
ap-282	97	48	�	�	PROPN
ap-282	97	49	�	�	PROPN
ap-282	97	50	�	�	PROPN
ap-282	97	51	�	�	PROPN
ap-282	97	52	�	�	PROPN
ap-282	97	53	�	�	PROPN
ap-282	97	54	5	5	NUM
ap-282	97	55	2	2	NUM
ap-282	97	56	4	4	NUM
ap-282	97	57	2	2	NUM
ap-282	97	58	3	3	NUM
ap-282	97	59	4	4	NUM
ap-282	97	60	7	7	NUM
ap-282	97	61	7	7	NUM
ap-282	97	62	5	5	NUM
ap-282	97	63	5	5	NUM
ap-282	97	64	6	6	NUM
ap-282	97	65	g	g	NOUN
ap-282	97	66	t	t	PROPN
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ap-282	97	68	t	t	PROPN
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ap-282	97	72	t	t	PROPN
ap-282	97	73	t	t	PROPN
ap-282	97	74	g	g	PROPN
ap-282	97	75	t	t	PROPN
ap-282	97	76	t	t	PROPN
ap-282	98	1	t	t	PROPN
ap-282	98	2	t	t	PROPN
ap-282	98	3	t	t	PROPN
ap-282	98	4	t	t	PROPN
ap-282	98	5	t	t	PROPN
ap-282	98	6	t	t	PROPN
ap-282	98	7	�	�	PROPN
ap-282	98	8	�	�	PROPN
ap-282	98	9	�	�	PROPN
ap-282	98	10	�	�	PROPN
ap-282	98	11	�	�	PROPN
ap-282	98	12	�	�	PROPN
ap-282	98	13	�	�	PROPN
ap-282	98	14	�	�	PROPN
ap-282	98	15	�	�	PROPN
ap-282	98	16	�	�	PROPN
ap-282	98	17	�	�	PROPN
ap-282	98	18	cos	cos	PROPN
ap-282	98	19	cos	cos	PROPN
ap-282	98	20	�	�	PROPN
ap-282	98	21	�	�	PROPN
ap-282	98	22	�	�	PROPN
ap-282	98	23	�	�	PROPN
ap-282	98	24	�	�	PROPN
ap-282	98	25	�	�	PROPN
ap-282	98	26	�	�	PROPN
ap-282	98	27	�	�	PROPN
ap-282	98	28	�	�	PROPN
ap-282	98	29	�	�	PROPN
ap-282	98	30	�	�	PROPN
ap-282	98	31	�	�	PROPN
ap-282	98	32	�	�	PROPN
ap-282	98	33	�	�	PROPN
ap-282	98	34	�	�	PROPN
ap-282	98	35	(	(	PUNCT
ap-282	98	36	19	19	NUM
ap-282	98	37	)	)	PUNCT
ap-282	98	38	27	27	NUM
ap-282	98	39	acta	acta	PROPN
ap-282	98	40	polytechnica	polytechnica	PROPN
ap-282	98	41	vol	vol	NOUN
ap-282	98	42	.	.	PUNCT
ap-282	99	1	41	41	NUM
ap-282	99	2	no	no	NOUN
ap-282	99	3	.	.	PUNCT
ap-282	100	1	6/2001	6/2001	NUM
ap-282	100	2	�	�	PROPN
ap-282	100	3	�	�	PROPN
ap-282	100	4	~	~	PUNCT
ap-282	100	5	limx	limx	PROPN
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ap-282	100	8	t	t	PROPN
ap-282	100	9	g	g	PROPN
ap-282	100	10	t	t	PROPN
ap-282	100	11	t	t	PROPN
ap-282	100	12	t	t	PROPN
ap-282	100	13	t	t	PROPN
ap-282	100	14	t	t	PROPN
ap-282	100	15	t	t	PROPN
ap-282	100	16	t	t	PROPN
ap-282	100	17	t	t	PROPN
ap-282	100	18	�	�	PROPN
ap-282	100	19	�	�	PROPN
ap-282	100	20	�	�	PROPN
ap-282	100	21	�	�	PROPN
ap-282	100	22	�	�	PROPN
ap-282	100	23	�	�	PROPN
ap-282	100	24	�	�	PROPN
ap-282	100	25	�	�	PROPN
ap-282	100	26	�	�	PROPN
ap-282	100	27	�	�	PROPN
ap-282	100	28	�	�	PROPN
ap-282	100	29	�	�	PROPN
ap-282	100	30	�	�	PROPN
ap-282	100	31	�	�	PROPN
ap-282	100	32	�	�	PROPN
ap-282	100	33	�	�	PROPN
ap-282	100	34	0	0	NUM
ap-282	100	35	4	4	NUM
ap-282	100	36	2	2	NUM
ap-282	100	37	21	21	NUM
ap-282	100	38	1	1	NUM
ap-282	100	39	3	3	NUM
ap-282	100	40	3	3	NUM
ap-282	100	41	4	4	NUM
ap-282	100	42	d	d	NOUN
ap-282	100	43	d	d	X
ap-282	100	44	�	�	PROPN
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ap-282	100	47	�	�	PROPN
ap-282	100	48	�	�	PROPN
ap-282	100	49	�	�	PROPN
ap-282	100	50	�	�	PROPN
ap-282	100	51	�	�	PROPN
ap-282	100	52	�	�	PROPN
ap-282	100	53	�	�	PROPN
ap-282	100	54	�	�	PROPN
ap-282	100	55	�	�	PROPN
ap-282	100	56	�	�	PROPN
ap-282	100	57	�	�	PROPN
ap-282	100	58	�	�	PROPN
ap-282	100	59	�	�	PROPN
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ap-282	100	61	g	g	PROPN
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ap-282	100	63	t	t	PROPN
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ap-282	100	68	t	t	PROPN
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ap-282	100	73	4	4	NUM
ap-282	100	74	2	2	NUM
ap-282	100	75	4	4	NUM
ap-282	100	76	4	4	NUM
ap-282	100	77	7	7	NUM
ap-282	100	78	3	3	NUM
ap-282	100	79	5	5	NUM
ap-282	100	80	�	�	PROPN
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ap-282	100	82	�	�	PROPN
ap-282	100	83	�	�	PROPN
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ap-282	100	85	d	d	PROPN
ap-282	101	1	d	d	PROPN
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ap-282	101	10	t	t	PROPN
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ap-282	101	12	t	t	PROPN
ap-282	101	13	t	t	PROPN
ap-282	101	14	t	t	PROPN
ap-282	101	15	t	t	PROPN
ap-282	101	16	5	5	NUM
ap-282	101	17	7	7	NUM
ap-282	101	18	5	5	NUM
ap-282	101	19	7	7	NUM
ap-282	101	20	5	5	NUM
ap-282	101	21	6	6	NUM
ap-282	101	22	5	5	NUM
ap-282	101	23	6	6	NUM
ap-282	101	24	6	6	NUM
ap-282	101	25	�	�	PROPN
ap-282	101	26	�	�	PROPN
ap-282	101	27	�	�	PROPN
ap-282	101	28	�	�	PROPN
ap-282	101	29	�	�	PROPN
ap-282	101	30	�	�	PROPN
ap-282	101	31	�	�	PROPN
ap-282	101	32	�	�	PROPN
ap-282	101	33	�	�	PROPN
ap-282	101	34	�	�	PROPN
ap-282	101	35	�	�	PROPN
ap-282	101	36	�	�	PROPN
ap-282	101	37	�	�	PROPN
ap-282	101	38	�	�	PROPN
ap-282	101	39	�	�	PROPN
ap-282	101	40	�	�	PROPN
ap-282	101	41	�	�	PROPN
ap-282	101	42	�	�	PROPN
ap-282	101	43	d	d	PROPN
ap-282	101	44	d	d	PROPN
ap-282	101	45	d	d	X
ap-282	101	46	t8	t8	PROPN
ap-282	101	47	�	�	PROPN
ap-282	101	48	�	�	PROPN
ap-282	101	49	�	�	PROPN
ap-282	101	50	�	�	PROPN
ap-282	101	51	�	�	PROPN
ap-282	101	52	�	�	PROPN
ap-282	101	53	.	.	PUNCT
ap-282	102	1	(	(	PUNCT
ap-282	102	2	16	16	NUM
ap-282	102	3	)	)	PUNCT
ap-282	102	4	substituting	substitute	VERB
ap-282	102	5	for	for	ADP
ap-282	102	6	the	the	DET
ap-282	102	7	integral	integral	ADJ
ap-282	102	8	yields	yield	NOUN
ap-282	102	9	(	(	PUNCT
ap-282	102	10	16	16	NUM
ap-282	102	11	)	)	PUNCT
ap-282	102	12	�	�	PROPN
ap-282	102	13	�	�	PROPN
ap-282	102	14	~	~	PUNCT
ap-282	102	15	ln	ln	PROPN
ap-282	102	16	ln	ln	NOUN
ap-282	102	17	lnx	lnx	PROPN
ap-282	102	18	t	t	PROPN
ap-282	102	19	e	e	PROPN
ap-282	102	20	t	t	PROPN
ap-282	102	21	t	t	PROPN
ap-282	102	22	t	t	PROPN
ap-282	102	23	t	t	PROPN
ap-282	102	24	e	e	PROPN
ap-282	102	25	t	t	PROPN
ap-282	102	26	t	t	PROPN
ap-282	102	27	t	t	PROPN
ap-282	102	28	t	t	PROPN
ap-282	103	1	gt	gt	PROPN
ap-282	103	2	t	t	PROPN
ap-282	103	3	t	t	PROPN
ap-282	103	4	t	t	PROPN
ap-282	103	5	t	t	PROPN
ap-282	103	6	t	t	PROPN
ap-282	103	7	�	�	PROPN
ap-282	103	8	�	�	PROPN
ap-282	103	9	�	�	PROPN
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ap-282	103	19	�	�	PROPN
ap-282	103	20	1	1	NUM
ap-282	103	21	3	3	NUM
ap-282	103	22	1	1	NUM
ap-282	103	23	8	8	NUM
ap-282	103	24	6	6	NUM
ap-282	103	25	2	2	NUM
ap-282	103	26	4	4	NUM
ap-282	103	27	2	2	NUM
ap-282	103	28	4	4	NUM
ap-282	103	29	3	3	NUM
ap-282	103	30	�	�	PROPN
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ap-282	104	1	t	t	PROPN
ap-282	104	2	gt	gt	PROPN
ap-282	104	3	t	t	PROPN
ap-282	104	4	t	t	PROPN
ap-282	104	5	t	t	PROPN
ap-282	104	6	t	t	PROPN
ap-282	104	7	t	t	PROPN
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ap-282	104	10	t	t	PROPN
ap-282	104	11	t	t	PROPN
ap-282	104	12	t	t	PROPN
ap-282	104	13	t	t	PROPN
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ap-282	104	15	t	t	PROPN
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ap-282	104	18	t	t	PROPN
ap-282	104	19	t	t	PROPN
ap-282	104	20	7	7	NUM
ap-282	104	21	7	7	NUM
ap-282	104	22	5	5	NUM
ap-282	104	23	6	6	NUM
ap-282	104	24	5	5	NUM
ap-282	104	25	5	5	NUM
ap-282	104	26	4	4	NUM
ap-282	104	27	4	4	NUM
ap-282	104	28	2	2	NUM
ap-282	104	29	4	4	NUM
ap-282	104	30	3	3	NUM
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ap-282	104	34	t	t	PROPN
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ap-282	104	39	t	t	PROPN
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ap-282	105	1	t	t	PROPN
ap-282	105	2	t	t	PROPN
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ap-282	105	4	t	t	PROPN
ap-282	105	5	t	t	PROPN
ap-282	105	6	t	t	PROPN
ap-282	105	7	t	t	PROPN
ap-282	105	8	4	4	NUM
ap-282	105	9	3	3	NUM
ap-282	105	10	7	7	NUM
ap-282	105	11	5	5	NUM
ap-282	105	12	7	7	NUM
ap-282	105	13	5	5	NUM
ap-282	105	14	6	6	NUM
ap-282	105	15	5	5	NUM
ap-282	105	16	�	�	PROPN
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ap-282	105	19	�	�	PROPN
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ap-282	105	21	�	�	PROPN
ap-282	105	22	�	�	PROPN
ap-282	105	23	�	�	PROPN
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ap-282	105	25	�	�	PROPN
ap-282	105	26	�	�	PROPN
ap-282	105	27	�	�	PROPN
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ap-282	105	30	�	�	PROPN
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ap-282	105	35	�	�	PROPN
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ap-282	105	40	�	�	PROPN
ap-282	105	41	�	�	PROPN
ap-282	105	42	ln	ln	PROPN
ap-282	105	43	�	�	PROPN
ap-282	105	44	.	.	PUNCT
ap-282	106	1	(	(	PUNCT
ap-282	106	2	17	17	NUM
ap-282	106	3	)	)	PUNCT
ap-282	106	4	)	)	PUNCT
ap-282	107	1	(	(	PUNCT
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ap-282	107	3	)	)	PUNCT
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ap-282	107	8	(	(	PUNCT
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ap-282	107	10	t	t	PROPN
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ap-282	107	12	.	.	PUNCT
ap-282	108	1	6	6	NUM
ap-282	108	2	:	:	PUNCT
ap-282	108	3	trapezoidal	trapezoidal	ADJ
ap-282	108	4	pulse	pulse	NOUN
ap-282	108	5	given	give	VERB
ap-282	108	6	by	by	ADP
ap-282	108	7	(	(	PUNCT
ap-282	108	8	14	14	NUM
ap-282	108	9	)	)	PUNCT
ap-282	108	10	,	,	PUNCT
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ap-282	108	12	part	part	NOUN
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ap-282	108	19	e(t	e(t	NOUN
ap-282	108	20	)	)	PUNCT
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ap-282	108	22	parameters	parameter	NOUN
ap-282	108	23	e=0	e=0	PRON
ap-282	108	24	;	;	PUNCT
ap-282	108	25	g=1	g=1	X
ap-282	108	26	;	;	PUNCT
ap-282	108	27	t3=	t3=	PROPN
ap-282	108	28	�	�	PROPN
ap-282	108	29	6.5	6.5	NUM
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ap-282	108	31	;	;	PUNCT
ap-282	108	32	t4	t4	PROPN
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ap-282	108	34	�	�	PROPN
ap-282	108	35	5.5	5.5	NUM
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ap-282	108	40	5.5	5.5	NUM
ap-282	108	41	s	s	NOUN
ap-282	108	42	;	;	PUNCT
ap-282	108	43	t6	t6	PROPN
ap-282	108	44	=	=	PROPN
ap-282	108	45	6.5	6.5	NUM
ap-282	108	46	s	s	NOUN
ap-282	108	47	;	;	PUNCT
ap-282	108	48	fvz	fvz	NOUN
ap-282	108	49	=	=	SYM
ap-282	108	50	1	1	NUM
ap-282	108	51	khz	khz	NOUN
ap-282	108	52	150	150	NUM
ap-282	108	53	200	200	NUM
ap-282	108	54	250	250	NUM
ap-282	108	55	%	%	NOUN
ap-282	108	56	10	10	NUM
ap-282	108	57	20	20	NUM
ap-282	108	58	30	30	NUM
ap-282	108	59	40	40	NUM
ap-282	108	60	50	50	NUM
ap-282	108	61	60	60	NUM
ap-282	108	62	70	70	NUM
ap-282	108	63	80	80	NUM
ap-282	108	64	90	90	NUM
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ap-282	108	66	.	.	PUNCT
ap-282	109	1	7	7	NUM
ap-282	109	2	:	:	PUNCT
ap-282	109	3	normalized	normalize	VERB
ap-282	109	4	graph	graph	NOUN
ap-282	109	5	of	of	ADP
ap-282	109	6	overshoot	overshoot	NOUN
ap-282	109	7	dependency	dependency	NOUN
ap-282	109	8	on	on	ADP
ap-282	109	9	the	the	DET
ap-282	109	10	gradient	gradient	NOUN
ap-282	109	11	s	s	PROPN
ap-282	109	12	of	of	ADP
ap-282	109	13	a	a	DET
ap-282	109	14	trapezoidal	trapezoidal	ADJ
ap-282	109	15	pulse	pulse	NOUN
ap-282	109	16	rising	rise	VERB
ap-282	109	17	edge	edge	NOUN
ap-282	109	18	.	.	PUNCT
ap-282	110	1	parameters	parameter	NOUN
ap-282	110	2	�	�	PROPN
ap-282	110	3	�	�	PROPN
ap-282	110	4	�	�	PROPN
ap-282	110	5	�	�	PROPN
ap-282	110	6	�	�	PROPN
ap-282	110	7	s	s	PART
ap-282	110	8	g	g	PROPN
ap-282	110	9	e	e	PROPN
ap-282	110	10	t	t	PROPN
ap-282	110	11	t	t	PROPN
ap-282	110	12	�	�	PROPN
ap-282	110	13	�	�	PROPN
ap-282	110	14	�	�	PROPN
ap-282	110	15	180	180	NUM
ap-282	110	16	6	6	NUM
ap-282	110	17	5atan	5atan	NUM
ap-282	110	18	�	�	PROPN
ap-282	110	19	,	,	PUNCT
ap-282	110	20	where	where	SCONJ
ap-282	110	21	e	e	X
ap-282	110	22	�	�	PROPN
ap-282	110	23	0	0	PROPN
ap-282	110	24	,	,	PUNCT
ap-282	110	25	g	g	PROPN
ap-282	110	26	�	�	PROPN
ap-282	110	27	1	1	NUM
ap-282	110	28	,	,	PUNCT
ap-282	110	29	t6	t6	PROPN
ap-282	110	30	6	6	NUM
ap-282	110	31	�	�	PROPN
ap-282	110	32	s	s	PART
ap-282	110	33	,	,	PUNCT
ap-282	110	34	�	�	PROPN
ap-282	110	35	�	�	PROPN
ap-282	110	36	t	t	PROPN
ap-282	110	37	t6	t6	PROPN
ap-282	110	38	5	5	NUM
ap-282	110	39	0	0	NUM
ap-282	110	40	5	5	NUM
ap-282	110	41	�	�	PROPN
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ap-282	110	43	s	s	PART
ap-282	110	44	s	s	NOUN
ap-282	110	45	,	,	PUNCT
ap-282	110	46	e	e	X
ap-282	110	47	g	g	NOUN
ap-282	110	48	x	x	SYM
ap-282	110	49	(	(	PUNCT
ap-282	110	50	t	t	NOUN
ap-282	110	51	)	)	PUNCT
ap-282	110	52	fig	fig	NOUN
ap-282	110	53	.	.	PUNCT
ap-282	111	1	8	8	NUM
ap-282	111	2	:	:	PUNCT
ap-282	111	3	harmonic	harmonic	ADJ
ap-282	111	4	signal	signal	NOUN
ap-282	111	5	modulated	modulate	VERB
ap-282	111	6	by	by	ADP
ap-282	111	7	a	a	DET
ap-282	111	8	trapezoidal	trapezoidal	ADJ
ap-282	111	9	pulse	pulse	NOUN
ap-282	111	10	3.3.1	3.3.1	NUM
ap-282	111	11	invariant	invariant	ADJ
ap-282	111	12	part	part	NOUN
ap-282	111	13	of	of	ADP
ap-282	111	14	a	a	DET
ap-282	111	15	harmonic	harmonic	ADJ
ap-282	111	16	signal	signal	NOUN
ap-282	111	17	first	first	ADV
ap-282	111	18	we	we	PRON
ap-282	111	19	make	make	VERB
ap-282	111	20	a	a	DET
ap-282	111	21	calculation	calculation	NOUN
ap-282	111	22	of	of	ADP
ap-282	111	23	the	the	DET
ap-282	111	24	invariant	invariant	ADJ
ap-282	111	25	part	part	NOUN
ap-282	111	26	of	of	ADP
ap-282	111	27	the	the	DET
ap-282	111	28	harmonic	harmonic	ADJ
ap-282	111	29	signal	signal	NOUN
ap-282	111	30	,	,	PUNCT
ap-282	111	31	because	because	SCONJ
ap-282	111	32	it	it	PRON
ap-282	111	33	is	be	AUX
ap-282	111	34	easier	easy	ADJ
ap-282	111	35	to	to	PART
ap-282	111	36	describe	describe	VERB
ap-282	111	37	the	the	DET
ap-282	111	38	calculation	calculation	NOUN
ap-282	111	39	and	and	CCONJ
ap-282	111	40	because	because	SCONJ
ap-282	111	41	the	the	DET
ap-282	111	42	hilbert	hilbert	NOUN
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ap-282	111	44	is	be	AUX
ap-282	111	45	linear	linear	ADJ
ap-282	111	46	according	accord	VERB
ap-282	111	47	to	to	ADP
ap-282	111	48	addition	addition	NOUN
ap-282	111	49	.	.	PUNCT
ap-282	112	1	the	the	DET
ap-282	112	2	invariant	invariant	ADJ
ap-282	112	3	part	part	NOUN
ap-282	112	4	of	of	ADP
ap-282	112	5	the	the	DET
ap-282	112	6	harmonic	harmonic	ADJ
ap-282	112	7	signal	signal	NOUN
ap-282	112	8	modulated	modulate	VERB
ap-282	112	9	by	by	ADP
ap-282	112	10	the	the	DET
ap-282	112	11	trapezoidal	trapezoidal	ADJ
ap-282	112	12	pulse	pulse	NOUN
ap-282	112	13	of	of	ADP
ap-282	112	14	the	the	DET
ap-282	112	15	signal	signal	NOUN
ap-282	112	16	in	in	ADP
ap-282	112	17	fig	fig	NOUN
ap-282	112	18	.	.	PUNCT
ap-282	112	19	8	8	NUM
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ap-282	112	21	between	between	ADP
ap-282	112	22	points	point	NOUN
ap-282	112	23	t1	t1	NOUN
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ap-282	112	25	t2	t2	NOUN
ap-282	112	26	.	.	PUNCT
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ap-282	113	2	invariant	invariant	ADJ
ap-282	113	3	part	part	NOUN
ap-282	113	4	of	of	ADP
ap-282	113	5	the	the	DET
ap-282	113	6	signal	signal	NOUN
ap-282	113	7	is	be	AUX
ap-282	113	8	shown	show	VERB
ap-282	113	9	in	in	ADP
ap-282	113	10	fig	fig	NOUN
ap-282	113	11	.	.	PUNCT
ap-282	114	1	9	9	X
ap-282	114	2	.	.	X
ap-282	115	1	the	the	DET
ap-282	115	2	function	function	NOUN
ap-282	115	3	shown	show	VERB
ap-282	115	4	in	in	ADP
ap-282	115	5	fig	fig	NOUN
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ap-282	116	1	9	9	NUM
ap-282	116	2	can	can	AUX
ap-282	116	3	be	be	AUX
ap-282	116	4	expressed	express	VERB
ap-282	116	5	as	as	ADP
ap-282	116	6	:	:	PUNCT
ap-282	116	7	�	�	PROPN
ap-282	116	8	�	�	PROPN
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ap-282	116	10	�	�	PROPN
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ap-282	116	12	t	t	PROPN
ap-282	116	13	t	t	PROPN
ap-282	116	14	t	t	PROPN
ap-282	116	15	t	t	PROPN
ap-282	116	16	t	t	PROPN
ap-282	116	17	t	t	PROPN
ap-282	116	18	t	t	PROPN
ap-282	116	19	t	t	PROPN
ap-282	116	20	t	t	PROPN
ap-282	116	21	�	�	PROPN
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ap-282	116	23	�	�	PROPN
ap-282	116	24	�	�	PROPN
ap-282	116	25	�	�	PROPN
ap-282	116	26	�	�	PROPN
ap-282	116	27	�	�	PROPN
ap-282	116	28	�	�	PROPN
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ap-282	116	32	�	�	PROPN
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ap-282	116	35	0	0	NUM
ap-282	116	36	1	1	NUM
ap-282	116	37	2	2	NUM
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ap-282	116	39	1	1	NUM
ap-282	116	40	2	2	NUM
ap-282	116	41	0	0	NUM
ap-282	116	42	0	0	NUM
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ap-282	116	44	pro	pro	X
ap-282	116	45	(	(	PUNCT
ap-282	116	46	20	20	NUM
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ap-282	116	48	the	the	DET
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ap-282	116	50	of	of	ADP
ap-282	116	51	equation	equation	NOUN
ap-282	116	52	(	(	PUNCT
ap-282	116	53	13	13	NUM
ap-282	116	54	)	)	PUNCT
ap-282	116	55	for	for	ADP
ap-282	116	56	calculating	calculate	VERB
ap-282	116	57	the	the	DET
ap-282	116	58	quadrature	quadrature	NOUN
ap-282	116	59	part	part	NOUN
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ap-282	116	62	(	(	PUNCT
ap-282	116	63	20	20	NUM
ap-282	116	64	)	)	PUNCT
ap-282	116	65	yields	yield	VERB
ap-282	116	66	�	�	PROPN
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ap-282	116	69	�	�	PROPN
ap-282	116	70	~	~	PUNCT
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ap-282	116	72	x	x	SYM
ap-282	116	73	t	t	PROPN
ap-282	116	74	t	t	PROPN
ap-282	116	75	t	t	PROPN
ap-282	116	76	t	t	PROPN
ap-282	116	77	�	�	PROPN
ap-282	116	78	�	�	PROPN
ap-282	116	79	�	�	PROPN
ap-282	116	80	�	�	PROPN
ap-282	116	81	�	�	PROPN
ap-282	116	82	1	1	NUM
ap-282	116	83	0	0	NUM
ap-282	116	84	1	1	NUM
ap-282	116	85	2	2	NUM
ap-282	116	86	�	�	PROPN
ap-282	116	87	�	�	PROPN
ap-282	116	88	�	�	PROPN
ap-282	116	89	�	�	PROPN
ap-282	116	90	�	�	PROPN
ap-282	116	91	�	�	PROPN
ap-282	116	92	d	d	PROPN
ap-282	116	93	.	.	PUNCT
ap-282	117	1	(	(	PUNCT
ap-282	117	2	21	21	NUM
ap-282	117	3	)	)	PUNCT
ap-282	117	4	substituting	substitute	VERB
ap-282	117	5	z	z	PROPN
ap-282	117	6	t	t	PROPN
ap-282	117	7	z	z	PROPN
ap-282	117	8	z	z	PROPN
ap-282	117	9	t	t	PROPN
ap-282	118	1	t	t	PROPN
ap-282	118	2	z	z	PROPN
ap-282	118	3	t	t	PROPN
ap-282	118	4	t	t	PROPN
ap-282	118	5	�	�	PROPN
ap-282	118	6	�	�	PROPN
ap-282	118	7	�	�	PROPN
ap-282	118	8	�	�	PROPN
ap-282	118	9	�	�	PROPN
ap-282	118	10	�	�	PROPN
ap-282	118	11	�	�	PROPN
ap-282	118	12	�	�	PROPN
ap-282	118	13	�	�	PROPN
ap-282	118	14	d	d	PROPN
ap-282	118	15	d	d	NOUN
ap-282	118	16	1	1	NUM
ap-282	118	17	1	1	NUM
ap-282	118	18	2	2	NUM
ap-282	118	19	2	2	NUM
ap-282	118	20	(	(	PUNCT
ap-282	118	21	22	22	NUM
ap-282	118	22	)	)	PUNCT
ap-282	118	23	equation	equation	NOUN
ap-282	118	24	(	(	PUNCT
ap-282	118	25	21	21	NUM
ap-282	118	26	)	)	PUNCT
ap-282	118	27	can	can	AUX
ap-282	118	28	be	be	AUX
ap-282	118	29	written	write	VERB
ap-282	118	30	as	as	ADP
ap-282	118	31	:	:	PUNCT
ap-282	118	32	�	�	PROPN
ap-282	118	33	�	�	PROPN
ap-282	118	34	�	�	PROPN
ap-282	118	35	�	�	PROPN
ap-282	118	36	~	~	PUNCT
ap-282	118	37	cos	cos	PROPN
ap-282	118	38	x	x	PROPN
ap-282	118	39	t	t	PROPN
ap-282	118	40	z	z	PROPN
ap-282	118	41	t	t	PROPN
ap-282	118	42	z	z	PROPN
ap-282	118	43	z	z	PROPN
ap-282	118	44	z	z	NOUN
ap-282	118	45	z	z	NOUN
ap-282	118	46	�	�	PROPN
ap-282	118	47	�	�	PROPN
ap-282	118	48	�	�	PROPN
ap-282	118	49	�	�	PROPN
ap-282	118	50	1	1	NUM
ap-282	118	51	0	0	NUM
ap-282	118	52	0	0	NUM
ap-282	118	53	1	1	NUM
ap-282	118	54	2	2	NUM
ap-282	118	55	�	�	PROPN
ap-282	118	56	�	�	PROPN
ap-282	118	57	�	�	PROPN
ap-282	118	58	�	�	PROPN
ap-282	118	59	�	�	PROPN
ap-282	118	60	d	d	PROPN
ap-282	118	61	.	.	PUNCT
ap-282	119	1	(	(	PUNCT
ap-282	119	2	23	23	NUM
ap-282	119	3	)	)	SYM
ap-282	119	4	28	28	NUM
ap-282	119	5	acta	acta	PROPN
ap-282	119	6	polytechnica	polytechnica	PROPN
ap-282	119	7	vol	vol	NOUN
ap-282	119	8	.	.	PUNCT
ap-282	120	1	41	41	NUM
ap-282	120	2	no	no	NOUN
ap-282	120	3	.	.	PUNCT
ap-282	121	1	6/2001	6/2001	NUM
ap-282	121	2	1	1	NUM
ap-282	121	3	x	x	SYM
ap-282	121	4	t	t	PROPN
ap-282	121	5	(	(	PUNCT
ap-282	121	6	)	)	PUNCT
ap-282	121	7	0	0	NUM
ap-282	121	8	�	�	PROPN
ap-282	121	9	1	1	NUM
ap-282	121	10	fig	fig	NOUN
ap-282	121	11	.	.	PUNCT
ap-282	122	1	9	9	NUM
ap-282	122	2	:	:	PUNCT
ap-282	122	3	invariant	invariant	ADJ
ap-282	122	4	part	part	NOUN
ap-282	122	5	of	of	ADP
ap-282	122	6	the	the	DET
ap-282	122	7	harmonic	harmonic	ADJ
ap-282	122	8	signal	signal	NOUN
ap-282	122	9	equation	equation	NOUN
ap-282	122	10	(	(	PUNCT
ap-282	122	11	23	23	NUM
ap-282	122	12	)	)	PUNCT
ap-282	122	13	can	can	AUX
ap-282	122	14	be	be	AUX
ap-282	122	15	decomposed	decompose	VERB
ap-282	122	16	by	by	ADP
ap-282	122	17	equation	equation	NOUN
ap-282	122	18	(	(	PUNCT
ap-282	122	19	24	24	NUM
ap-282	122	20	)	)	PUNCT
ap-282	122	21	to	to	ADP
ap-282	122	22	equation	equation	NOUN
ap-282	122	23	(	(	PUNCT
ap-282	122	24	25	25	NUM
ap-282	122	25	)	)	PUNCT
ap-282	122	26	�	�	PROPN
ap-282	122	27	�	�	PROPN
ap-282	122	28	�	�	PROPN
ap-282	122	29	�	�	PROPN
ap-282	122	30	�	�	PROPN
ap-282	122	31	�	�	PROPN
ap-282	122	32	�	�	PROPN
ap-282	122	33	�	�	PROPN
ap-282	122	34	�	�	PROPN
ap-282	122	35	�	�	PROPN
ap-282	122	36	cos	cos	PROPN
ap-282	122	37	cos	cos	PROPN
ap-282	122	38	cos	cos	PROPN
ap-282	122	39	sin	sin	PROPN
ap-282	122	40	sin	sin	PROPN
ap-282	122	41	�	�	PROPN
ap-282	122	42	�	�	PROPN
ap-282	122	43	�	�	PROPN
ap-282	122	44	�	�	PROPN
ap-282	122	45	�	�	PROPN
ap-282	122	46	�	�	PROPN
ap-282	122	47	(	(	PUNCT
ap-282	122	48	24	24	NUM
ap-282	122	49	)	)	PUNCT
ap-282	122	50	and	and	CCONJ
ap-282	122	51	thus	thus	ADV
ap-282	122	52	�	�	PROPN
ap-282	122	53	�	�	PROPN
ap-282	122	54	�	�	PROPN
ap-282	122	55	�	�	PROPN
ap-282	122	56	�	�	PROPN
ap-282	122	57	�	�	PROPN
ap-282	122	58	�	�	PROPN
ap-282	122	59	�	�	PROPN
ap-282	122	60	�	�	PROPN
ap-282	122	61	�	�	PROPN
ap-282	122	62	~	~	SYM
ap-282	122	63	cos	cos	PROPN
ap-282	122	64	cos	cos	PROPN
ap-282	122	65	sin	sin	PROPN
ap-282	122	66	sin	sin	NOUN
ap-282	122	67	x	x	PUNCT
ap-282	122	68	t	t	NOUN
ap-282	122	69	t	t	PROPN
ap-282	122	70	z	z	PROPN
ap-282	123	1	z	z	PROPN
ap-282	123	2	z	z	NOUN
ap-282	123	3	t	t	PROPN
ap-282	123	4	z	z	NOUN
ap-282	123	5	z	z	NOUN
ap-282	124	1	z	z	NOUN
ap-282	124	2	z	z	NOUN
ap-282	124	3	z	z	NOUN
ap-282	124	4	z	z	NOUN
ap-282	124	5	z	z	NOUN
ap-282	124	6	�	�	PROPN
ap-282	124	7	�	�	PROPN
ap-282	124	8	�	�	PROPN
ap-282	124	9	�	�	PROPN
ap-282	124	10	�	�	PROPN
ap-282	124	11	�	�	PROPN
ap-282	124	12	1	1	NUM
ap-282	124	13	0	0	NUM
ap-282	124	14	0	0	NUM
ap-282	124	15	0	0	NUM
ap-282	124	16	0	0	NUM
ap-282	124	17	1	1	NUM
ap-282	124	18	2	2	NUM
ap-282	124	19	1	1	NUM
ap-282	124	20	�	�	PROPN
ap-282	124	21	�	�	PROPN
ap-282	124	22	�	�	PROPN
ap-282	124	23	�	�	PROPN
ap-282	124	24	�	�	PROPN
ap-282	124	25	�	�	PROPN
ap-282	124	26	�	�	PROPN
ap-282	124	27	d	d	PROPN
ap-282	124	28	d	d	PROPN
ap-282	124	29	2	2	NUM
ap-282	124	30	�	�	PROPN
ap-282	124	31	�	�	PROPN
ap-282	124	32	�	�	PROPN
ap-282	124	33	�	�	PROPN
ap-282	124	34	�	�	PROPN
ap-282	124	35	�	�	PROPN
ap-282	124	36	�	�	PROPN
ap-282	124	37	�	�	PROPN
ap-282	124	38	�	�	PROPN
ap-282	124	39	�	�	PROPN
ap-282	124	40	.	.	PUNCT
ap-282	125	1	(	(	PUNCT
ap-282	125	2	25	25	NUM
ap-282	125	3	)	)	PUNCT
ap-282	125	4	the	the	DET
ap-282	125	5	integral	integral	ADJ
ap-282	125	6	calculation	calculation	NOUN
ap-282	125	7	inside	inside	ADP
ap-282	125	8	equation	equation	NOUN
ap-282	125	9	(	(	PUNCT
ap-282	125	10	25	25	NUM
ap-282	125	11	)	)	PUNCT
ap-282	125	12	has	have	VERB
ap-282	125	13	to	to	PART
ap-282	125	14	be	be	AUX
ap-282	125	15	done	do	VERB
ap-282	125	16	separately	separately	ADV
ap-282	125	17	according	accord	VERB
ap-282	125	18	to	to	ADP
ap-282	125	19	a	a	DET
ap-282	125	20	valid	valid	ADJ
ap-282	125	21	condition	condition	NOUN
ap-282	125	22	of	of	ADP
ap-282	125	23	integration	integration	NOUN
ap-282	125	24	[	[	X
ap-282	125	25	3	3	NUM
ap-282	125	26	]	]	PUNCT
ap-282	125	27	.	.	PUNCT
ap-282	126	1	the	the	DET
ap-282	126	2	properties	property	NOUN
ap-282	126	3	of	of	ADP
ap-282	126	4	odd	odd	ADJ
ap-282	126	5	and	and	CCONJ
ap-282	126	6	even	even	ADV
ap-282	126	7	functions	function	NOUN
ap-282	126	8	,	,	PUNCT
ap-282	126	9	their	their	PRON
ap-282	126	10	integrals	integral	NOUN
ap-282	126	11	and	and	CCONJ
ap-282	126	12	integral	integral	ADJ
ap-282	126	13	sine	sine	NOUN
ap-282	126	14	and	and	CCONJ
ap-282	126	15	cosine	cosine	NOUN
ap-282	126	16	are	be	AUX
ap-282	126	17	(	(	PUNCT
ap-282	126	18	27	27	NUM
ap-282	126	19	)	)	PUNCT
ap-282	126	20	in	in	ADP
ap-282	126	21	[	[	X
ap-282	126	22	2	2	NUM
ap-282	126	23	]	]	PUNCT
ap-282	126	24	.	.	PUNCT
ap-282	127	1	�	�	PROPN
ap-282	127	2	for	for	ADP
ap-282	127	3	t	t	PROPN
ap-282	127	4	t	t	NOUN
ap-282	127	5	z1	z1	NOUN
ap-282	127	6	1	1	NUM
ap-282	127	7	0	0	NUM
ap-282	127	8	�	�	PROPN
ap-282	127	9	�	�	PROPN
ap-282	127	10	,	,	PUNCT
ap-282	127	11	and	and	CCONJ
ap-282	127	12	for	for	ADP
ap-282	127	13	t	t	PROPN
ap-282	127	14	t	t	PROPN
ap-282	127	15	z2	z2	PROPN
ap-282	127	16	2	2	NUM
ap-282	127	17	0	0	NUM
ap-282	127	18	�	�	PROPN
ap-282	127	19	�	�	PROPN
ap-282	127	20	,	,	PUNCT
ap-282	127	21	�	�	PROPN
ap-282	127	22	�	�	PROPN
ap-282	127	23	�	�	PROPN
ap-282	127	24	�	�	PROPN
ap-282	127	25	�	�	PROPN
ap-282	127	26	�	�	PROPN
ap-282	127	27	�	�	PROPN
ap-282	127	28	�	�	PROPN
ap-282	127	29	~	~	SYM
ap-282	127	30	cos	cos	PROPN
ap-282	127	31	cos	cos	PROPN
ap-282	127	32	cos	cos	PROPN
ap-282	127	33	x	x	PROPN
ap-282	127	34	t	t	PROPN
ap-282	127	35	t	t	PROPN
ap-282	127	36	z	z	PROPN
ap-282	127	37	z	z	PROPN
ap-282	127	38	z	z	NOUN
ap-282	127	39	z	z	NOUN
ap-282	127	40	z	z	NOUN
ap-282	127	41	z	z	NOUN
ap-282	127	42	z	z	NOUN
ap-282	127	43	z	z	NOUN
ap-282	127	44	�	�	PROPN
ap-282	127	45	�	�	PROPN
ap-282	127	46	�	�	PROPN
ap-282	127	47	�	�	PROPN
ap-282	127	48	�	�	PROPN
ap-282	127	49	�	�	PROPN
ap-282	127	50	�	�	PROPN
ap-282	127	51	�	�	PROPN
ap-282	127	52	�	�	PROPN
ap-282	127	53	�	�	PROPN
ap-282	127	54	�	�	PROPN
ap-282	127	55	�	�	PROPN
ap-282	127	56	�	�	PROPN
ap-282	127	57	�	�	PROPN
ap-282	127	58	�	�	PROPN
ap-282	127	59	�	�	PROPN
ap-282	127	60	1	1	NUM
ap-282	127	61	0	0	NUM
ap-282	127	62	0	0	NUM
ap-282	127	63	0	0	NUM
ap-282	127	64	1	1	NUM
ap-282	127	65	2	2	NUM
ap-282	127	66	�	�	PROPN
ap-282	127	67	�	�	PROPN
ap-282	127	68	�	�	PROPN
ap-282	127	69	�	�	PROPN
ap-282	127	70	�	�	PROPN
ap-282	127	71	d	d	PROPN
ap-282	127	72	d	d	PROPN
ap-282	127	73	�	�	PROPN
ap-282	127	74	�	�	PROPN
ap-282	127	75	�	�	PROPN
ap-282	127	76	�	�	PROPN
ap-282	127	77	�	�	PROPN
ap-282	127	78	�	�	PROPN
ap-282	127	79	�	�	PROPN
ap-282	127	80	�	�	PROPN
ap-282	127	81	�	�	PROPN
ap-282	127	82	�	�	PROPN
ap-282	127	83	�	�	PROPN
ap-282	127	84	�	�	PROPN
ap-282	127	85	�	�	PROPN
ap-282	127	86	�	�	PROPN
ap-282	127	87	�	�	PROPN
ap-282	127	88	�	�	PROPN
ap-282	127	89	�	�	PROPN
ap-282	127	90	�	�	PROPN
ap-282	127	91	�	�	PROPN
ap-282	127	92	�	�	PROPN
ap-282	127	93	�	�	PROPN
ap-282	127	94	�	�	PROPN
ap-282	127	95	�	�	PROPN
ap-282	127	96	�	�	PROPN
ap-282	127	97	sin	sin	NOUN
ap-282	127	98	sin	sin	NOUN
ap-282	127	99	sin	sin	PROPN
ap-282	127	100	�	�	PROPN
ap-282	127	101	�	�	PROPN
ap-282	127	102	�	�	PROPN
ap-282	127	103	�	�	PROPN
ap-282	127	104	0	0	NUM
ap-282	127	105	0	0	NUM
ap-282	127	106	0	0	NUM
ap-282	127	107	0	0	NUM
ap-282	127	108	0	0	NUM
ap-282	127	109	2	2	NUM
ap-282	127	110	1	1	NUM
ap-282	127	111	t	t	NOUN
ap-282	127	112	z	z	NOUN
ap-282	127	113	z	z	NOUN
ap-282	127	114	z	z	NOUN
ap-282	127	115	z	z	NOUN
ap-282	127	116	z	z	NOUN
ap-282	128	1	z	z	NOUN
ap-282	128	2	z	z	NOUN
ap-282	128	3	z	z	NOUN
ap-282	129	1	d	d	PUNCT
ap-282	129	2	d	d	X
ap-282	129	3	�	�	PROPN
ap-282	129	4	�	�	PROPN
ap-282	129	5	�	�	PROPN
ap-282	129	6	�	�	PROPN
ap-282	129	7	�	�	PROPN
ap-282	129	8	�	�	PROPN
ap-282	129	9	�	�	PROPN
ap-282	129	10	�	�	PROPN
ap-282	129	11	.	.	PUNCT
ap-282	130	1	(	(	PUNCT
ap-282	130	2	26	26	NUM
ap-282	130	3	)	)	PUNCT
ap-282	130	4	e;quation	e;quation	NOUN
ap-282	130	5	(	(	PUNCT
ap-282	130	6	26	26	NUM
ap-282	130	7	)	)	PUNCT
ap-282	130	8	changes	change	NOUN
ap-282	130	9	by	by	ADP
ap-282	130	10	using	use	VERB
ap-282	130	11	inversion	inversion	NOUN
ap-282	130	12	substitution	substitution	NOUN
ap-282	130	13	(	(	PUNCT
ap-282	130	14	22	22	NUM
ap-282	130	15	)	)	PUNCT
ap-282	130	16	and	and	CCONJ
ap-282	130	17	substitution	substitution	VERB
ap-282	130	18	integral	integral	ADJ
ap-282	130	19	sine	sine	NOUN
ap-282	130	20	and	and	CCONJ
ap-282	130	21	cosine	cosine	NOUN
ap-282	130	22	(	(	PUNCT
ap-282	130	23	27	27	NUM
ap-282	130	24	)	)	PUNCT
ap-282	130	25	to	to	ADP
ap-282	130	26	equation	equation	NOUN
ap-282	130	27	(	(	PUNCT
ap-282	130	28	30	30	NUM
ap-282	130	29	)	)	PUNCT
ap-282	130	30	.	.	PUNCT
ap-282	131	1	�	�	PROPN
ap-282	131	2	�	�	PROPN
ap-282	131	3	�	�	PROPN
ap-282	131	4	�	�	PROPN
ap-282	131	5	�	�	PROPN
ap-282	131	6	�	�	PROPN
ap-282	131	7	�	�	PROPN
ap-282	131	8	�	�	PROPN
ap-282	131	9	ci	ci	PROPN
ap-282	131	10	x	x	SYM
ap-282	131	11	t	t	PROPN
ap-282	131	12	t	t	PROPN
ap-282	131	13	t	t	PROPN
ap-282	131	14	si	si	X
ap-282	131	15	x	x	SYM
ap-282	131	16	t	t	PROPN
ap-282	131	17	t	t	PROPN
ap-282	131	18	t	t	NOUN
ap-282	131	19	x	x	SYM
ap-282	131	20	x	x	SYM
ap-282	131	21	�	�	PROPN
ap-282	131	22	�	�	PROPN
ap-282	131	23	�	�	PROPN
ap-282	131	24	�	�	PROPN
ap-282	131	25	�	�	PROPN
ap-282	131	26	�	�	PROPN
ap-282	131	27	cos	cos	PROPN
ap-282	131	28	,	,	PUNCT
ap-282	131	29	sin	sin	NOUN
ap-282	131	30	d	d	PROPN
ap-282	131	31	d	d	PROPN
ap-282	131	32	0	0	NUM
ap-282	131	33	(	(	PUNCT
ap-282	131	34	27	27	NUM
ap-282	131	35	)	)	PUNCT
ap-282	131	36	�	�	PROPN
ap-282	131	37	�	�	PROPN
ap-282	131	38	�	�	PROPN
ap-282	131	39	�	�	PROPN
ap-282	131	40	�	�	PROPN
ap-282	131	41	�	�	PROPN
ap-282	131	42	�	�	PROPN
ap-282	131	43	�	�	PROPN
ap-282	131	44	�	�	PROPN
ap-282	131	45	�	�	PROPN
ap-282	131	46	�	�	PROPN
ap-282	131	47	�	�	PROPN
ap-282	131	48	�	�	PROPN
ap-282	131	49	�	�	PROPN
ap-282	131	50	~	~	SYM
ap-282	131	51	cos	cos	PROPN
ap-282	131	52	sinx	sinx	PROPN
ap-282	131	53	t	t	PROPN
ap-282	131	54	t	t	PROPN
ap-282	131	55	ci	ci	PROPN
ap-282	131	56	z	z	PROPN
ap-282	131	57	ci	ci	PROPN
ap-282	131	58	z	z	PROPN
ap-282	131	59	t	t	PROPN
ap-282	131	60	si	si	PROPN
ap-282	131	61	z	z	PROPN
ap-282	131	62	si	si	PROPN
ap-282	131	63	z	z	PROPN
ap-282	131	64	�	�	PROPN
ap-282	131	65	�	�	PROPN
ap-282	131	66	�	�	PROPN
ap-282	131	67	�	�	PROPN
ap-282	131	68	�	�	PROPN
ap-282	131	69	�	�	PROPN
ap-282	131	70	�	�	PROPN
ap-282	131	71	�	�	PROPN
ap-282	131	72	1	1	NUM
ap-282	131	73	0	0	NUM
ap-282	131	74	0	0	NUM
ap-282	131	75	1	1	NUM
ap-282	131	76	0	0	NUM
ap-282	131	77	2	2	NUM
ap-282	131	78	0	0	NUM
ap-282	131	79	0	0	NUM
ap-282	131	80	2	2	NUM
ap-282	131	81	0	0	NUM
ap-282	131	82	�	�	PROPN
ap-282	131	83	�	�	PROPN
ap-282	131	84	�	�	PROPN
ap-282	131	85	�	�	PROPN
ap-282	131	86	�	�	PROPN
ap-282	131	87	�	�	PROPN
ap-282	131	88	�	�	PROPN
ap-282	131	89	�	�	PROPN
ap-282	131	90	�	�	PROPN
ap-282	131	91	�	�	PROPN
ap-282	131	92	�	�	PROPN
ap-282	131	93	�	�	PROPN
ap-282	131	94	�	�	PROPN
ap-282	131	95	�	�	PROPN
ap-282	131	96	�	�	PROPN
ap-282	131	97	1	1	NUM
ap-282	131	98	(	(	PUNCT
ap-282	131	99	28	28	NUM
ap-282	131	100	)	)	PUNCT
ap-282	131	101	�	�	PROPN
ap-282	131	102	�	�	PROPN
ap-282	131	103	�	�	PROPN
ap-282	131	104	�	�	PROPN
ap-282	131	105	�	�	PROPN
ap-282	131	106	�	�	PROPN
ap-282	131	107	�	�	PROPN
ap-282	131	108	�	�	PROPN
ap-282	131	109	�	�	PROPN
ap-282	131	110	�	�	PROPN
ap-282	131	111	�	�	PROPN
ap-282	131	112	�	�	PROPN
ap-282	131	113	�	�	PROPN
ap-282	131	114	�	�	PROPN
ap-282	131	115	�	�	PROPN
ap-282	131	116	�	�	PROPN
ap-282	131	117	�	�	PROPN
ap-282	131	118	�	�	PROPN
ap-282	131	119	�	�	PROPN
ap-282	131	120	�	�	PROPN
ap-282	131	121	~	~	PUNCT
ap-282	131	122	cos	cos	PROPN
ap-282	131	123	sinx	sinx	PROPN
ap-282	131	124	t	t	PROPN
ap-282	131	125	t	t	PROPN
ap-282	131	126	ci	ci	PROPN
ap-282	131	127	z	z	PROPN
ap-282	131	128	ci	ci	PROPN
ap-282	131	129	z	z	PROPN
ap-282	131	130	t	t	PROPN
ap-282	131	131	si	si	PROPN
ap-282	131	132	z	z	PROPN
ap-282	131	133	si	si	PROPN
ap-282	131	134	z	z	PROPN
ap-282	131	135	�	�	PROPN
ap-282	131	136	�	�	PROPN
ap-282	131	137	�	�	PROPN
ap-282	131	138	�	�	PROPN
ap-282	131	139	�	�	PROPN
ap-282	131	140	�	�	PROPN
ap-282	131	141	1	1	NUM
ap-282	131	142	0	0	NUM
ap-282	131	143	0	0	NUM
ap-282	131	144	1	1	NUM
ap-282	131	145	0	0	NUM
ap-282	131	146	2	2	NUM
ap-282	131	147	0	0	NUM
ap-282	131	148	0	0	NUM
ap-282	131	149	2	2	NUM
ap-282	131	150	0	0	NUM
ap-282	131	151	1	1	NUM
ap-282	131	152	�	�	PROPN
ap-282	131	153	�	�	PROPN
ap-282	131	154	�	�	PROPN
ap-282	131	155	�	�	PROPN
ap-282	131	156	�	�	PROPN
ap-282	131	157	�	�	PROPN
ap-282	131	158	�	�	PROPN
ap-282	131	159	�	�	PROPN
ap-282	131	160	�	�	PROPN
ap-282	131	161	(	(	PUNCT
ap-282	131	162	29	29	NUM
ap-282	131	163	)	)	PUNCT
ap-282	131	164	�	�	PROPN
ap-282	131	165	�	�	PROPN
ap-282	131	166	�	�	PROPN
ap-282	131	167	�	�	PROPN
ap-282	131	168	�	�	PROPN
ap-282	131	169	�	�	PROPN
ap-282	131	170	�	�	PROPN
ap-282	131	171	�	�	PROPN
ap-282	131	172	�	�	PROPN
ap-282	131	173	�	�	PROPN
ap-282	131	174	�	�	PROPN
ap-282	131	175	�	�	PROPN
ap-282	131	176	�	�	PROPN
ap-282	131	177	�	�	PROPN
ap-282	131	178	�	�	PROPN
ap-282	131	179	�	�	PROPN
ap-282	131	180	�	�	PROPN
ap-282	131	181	�	�	PROPN
ap-282	131	182	�	�	PROPN
ap-282	131	183	�	�	PROPN
ap-282	131	184	~	~	PUNCT
ap-282	131	185	cos	cos	PROPN
ap-282	131	186	sinx	sinx	PROPN
ap-282	131	187	t	t	PROPN
ap-282	131	188	t	t	PROPN
ap-282	131	189	ci	ci	PROPN
ap-282	131	190	t	t	PROPN
ap-282	131	191	t	t	PROPN
ap-282	131	192	ci	ci	PROPN
ap-282	131	193	t	t	PROPN
ap-282	131	194	t	t	PROPN
ap-282	131	195	t	t	PROPN
ap-282	131	196	si	si	PROPN
ap-282	131	197	t	t	PROPN
ap-282	131	198	t	t	PROPN
ap-282	131	199	s	s	PROPN
ap-282	131	200	�	�	PROPN
ap-282	131	201	�	�	PROPN
ap-282	131	202	�	�	PROPN
ap-282	131	203	�	�	PROPN
ap-282	131	204	�	�	PROPN
ap-282	131	205	�	�	PROPN
ap-282	131	206	�	�	PROPN
ap-282	131	207	�	�	PROPN
ap-282	131	208	�	�	PROPN
ap-282	131	209	1	1	NUM
ap-282	131	210	0	0	NUM
ap-282	131	211	0	0	NUM
ap-282	131	212	1	1	NUM
ap-282	131	213	0	0	NUM
ap-282	131	214	2	2	NUM
ap-282	131	215	0	0	NUM
ap-282	131	216	0	0	NUM
ap-282	131	217	2	2	NUM
ap-282	131	218	�	�	PROPN
ap-282	131	219	�	�	PROPN
ap-282	131	220	�	�	PROPN
ap-282	131	221	�	�	PROPN
ap-282	131	222	�	�	PROPN
ap-282	131	223	�	�	PROPN
ap-282	131	224	�	�	PROPN
ap-282	131	225	�	�	PROPN
ap-282	131	226	�	�	PROPN
ap-282	131	227	�	�	PROPN
ap-282	131	228	�	�	PROPN
ap-282	131	229	�	�	PROPN
ap-282	131	230	�	�	PROPN
ap-282	131	231	�	�	PROPN
ap-282	131	232	�	�	PROPN
ap-282	131	233	�	�	PROPN
ap-282	131	234	i	i	PROPN
ap-282	131	235	t	t	PROPN
ap-282	131	236	t	t	PROPN
ap-282	131	237	�	�	PROPN
ap-282	131	238	0	0	NUM
ap-282	131	239	1	1	NUM
ap-282	131	240	�	�	PROPN
ap-282	131	241	.	.	PUNCT
ap-282	132	1	(	(	PUNCT
ap-282	132	2	30	30	NUM
ap-282	132	3	)	)	PUNCT
ap-282	132	4	�	�	PROPN
ap-282	132	5	for	for	ADP
ap-282	132	6	t	t	PROPN
ap-282	132	7	t	t	NOUN
ap-282	132	8	z1	z1	NOUN
ap-282	132	9	1	1	NUM
ap-282	132	10	0	0	NUM
ap-282	132	11	�	�	PROPN
ap-282	132	12	�	�	PROPN
ap-282	132	13	,	,	PUNCT
ap-282	132	14	and	and	CCONJ
ap-282	132	15	for	for	ADP
ap-282	132	16	t	t	PROPN
ap-282	132	17	t	t	PROPN
ap-282	132	18	z2	z2	PROPN
ap-282	132	19	2	2	NUM
ap-282	132	20	0	0	NUM
ap-282	132	21	�	�	PROPN
ap-282	132	22	�	�	PROPN
ap-282	132	23	,	,	PUNCT
ap-282	132	24	the	the	DET
ap-282	132	25	extrinsic	extrinsic	ADJ
ap-282	132	26	value	value	NOUN
ap-282	132	27	of	of	ADP
ap-282	132	28	the	the	DET
ap-282	132	29	integral	integral	NOUN
ap-282	132	30	has	have	VERB
ap-282	132	31	to	to	PART
ap-282	132	32	be	be	AUX
ap-282	132	33	calculated	calculate	VERB
ap-282	132	34	on	on	ADP
ap-282	132	35	this	this	DET
ap-282	132	36	condition	condition	NOUN
ap-282	132	37	,	,	PUNCT
ap-282	132	38	because	because	SCONJ
ap-282	132	39	the	the	DET
ap-282	132	40	integral	integral	NOUN
ap-282	132	41	is	be	AUX
ap-282	132	42	not	not	PART
ap-282	132	43	defined	define	VERB
ap-282	132	44	at	at	ADP
ap-282	132	45	zero	zero	NUM
ap-282	132	46	.	.	PUNCT
ap-282	133	1	the	the	DET
ap-282	133	2	function	function	PROPN
ap-282	133	3	�	�	PROPN
ap-282	133	4	�	�	PROPN
ap-282	133	5	lim	lim	PROPN
ap-282	133	6	�	�	PROPN
ap-282	133	7	0	0	PROPN
ap-282	133	8	f	f	PROPN
ap-282	133	9	x	x	X
ap-282	133	10	will	will	AUX
ap-282	133	11	be	be	AUX
ap-282	133	12	written	write	VERB
ap-282	133	13	as	as	ADP
ap-282	133	14	�	�	PROPN
ap-282	133	15	�	�	PROPN
ap-282	133	16	f	f	PROPN
ap-282	133	17	x	x	X
ap-282	133	18	for	for	ADP
ap-282	133	19	easier	easy	ADJ
ap-282	133	20	notation	notation	NOUN
ap-282	133	21	.	.	PUNCT
ap-282	134	1	simplification	simplification	NOUN
ap-282	134	2	(	(	PUNCT
ap-282	134	3	31	31	NUM
ap-282	134	4	)	)	PUNCT
ap-282	134	5	will	will	AUX
ap-282	134	6	also	also	ADV
ap-282	134	7	be	be	AUX
ap-282	134	8	used	use	VERB
ap-282	134	9	further	further	ADJ
ap-282	134	10	�	�	PROPN
ap-282	134	11	�	�	PROPN
ap-282	134	12	�	�	PROPN
ap-282	134	13	�	�	PROPN
ap-282	134	14	c	c	PROPN
ap-282	134	15	z	z	PROPN
ap-282	134	16	z	z	NOUN
ap-282	134	17	z	z	PROPN
ap-282	134	18	�	�	PROPN
ap-282	134	19	cos	cos	PROPN
ap-282	134	20	�	�	PROPN
ap-282	134	21	0	0	NUM
ap-282	134	22	,	,	PUNCT
ap-282	134	23	�	�	PROPN
ap-282	134	24	�	�	PROPN
ap-282	134	25	�	�	PROPN
ap-282	134	26	�	�	PROPN
ap-282	134	27	s	s	PART
ap-282	134	28	z	z	PROPN
ap-282	134	29	z	z	PROPN
ap-282	134	30	z	z	PROPN
ap-282	134	31	�	�	PROPN
ap-282	134	32	sin	sin	PROPN
ap-282	134	33	�	�	PROPN
ap-282	134	34	0	0	NUM
ap-282	134	35	(	(	PUNCT
ap-282	134	36	31	31	NUM
ap-282	134	37	)	)	PUNCT
ap-282	134	38	�	�	PROPN
ap-282	134	39	�	�	PROPN
ap-282	134	40	�	�	PROPN
ap-282	134	41	�	�	PROPN
ap-282	134	42	�	�	PROPN
ap-282	134	43	�	�	PROPN
ap-282	134	44	�	�	PROPN
ap-282	134	45	�	�	PROPN
ap-282	134	46	�	�	PROPN
ap-282	134	47	�	�	PROPN
ap-282	134	48	�	�	PROPN
ap-282	134	49	�	�	PROPN
ap-282	134	50	~	~	SYM
ap-282	134	51	cosx	cosx	PROPN
ap-282	134	52	t	t	PROPN
ap-282	134	53	t	t	PROPN
ap-282	134	54	c	c	PROPN
ap-282	134	55	z	z	PROPN
ap-282	134	56	c	c	PROPN
ap-282	134	57	z	z	NOUN
ap-282	134	58	c	c	NOUN
ap-282	134	59	z	z	NOUN
ap-282	134	60	c	c	PROPN
ap-282	134	61	z	z	NOUN
ap-282	134	62	z	z	PROPN
ap-282	134	63	�	�	PROPN
ap-282	134	64	�	�	PROPN
ap-282	134	65	�	�	PROPN
ap-282	134	66	�	�	PROPN
ap-282	134	67	�	�	PROPN
ap-282	134	68	�	�	PROPN
ap-282	134	69	�	�	PROPN
ap-282	134	70	�	�	PROPN
ap-282	134	71	�	�	PROPN
ap-282	134	72	�	�	PROPN
ap-282	134	73	�	�	PROPN
ap-282	134	74	�	�	PROPN
ap-282	134	75	�	�	PROPN
ap-282	134	76	�	�	PROPN
ap-282	134	77	�	�	PROPN
ap-282	134	78	�	�	PROPN
ap-282	134	79	1	1	NUM
ap-282	134	80	0	0	NUM
ap-282	134	81	0	0	NUM
ap-282	134	82	0	0	NUM
ap-282	134	83	1	1	NUM
ap-282	134	84	�	�	PROPN
ap-282	134	85	�	�	PROPN
ap-282	134	86	�	�	PROPN
ap-282	134	87	z	z	PROPN
ap-282	135	1	d	d	PROPN
ap-282	135	2	z	z	PROPN
ap-282	135	3	d	d	NOUN
ap-282	135	4	z	z	NOUN
ap-282	135	5	d	d	NOUN
ap-282	135	6	z	z	NOUN
ap-282	135	7	d	d	PROPN
ap-282	135	8	�	�	PROPN
ap-282	135	9	�	�	PROPN
ap-282	135	10	�	�	PROPN
ap-282	135	11	�	�	PROPN
ap-282	135	12	�	�	PROPN
ap-282	135	13	�	�	PROPN
ap-282	135	14	z	z	PROPN
ap-282	135	15	z	z	PROPN
ap-282	135	16	z	z	NOUN
ap-282	135	17	t	t	PROPN
ap-282	135	18	s	s	PROPN
ap-282	135	19	z	z	PROPN
ap-282	135	20	s	s	PROPN
ap-282	135	21	z	z	NOUN
ap-282	135	22	2	2	NUM
ap-282	135	23	1	1	NUM
ap-282	135	24	2	2	NUM
ap-282	135	25	0	0	NUM
ap-282	135	26	0	0	NUM
ap-282	135	27	0	0	NUM
ap-282	135	28	�	�	PROPN
ap-282	135	29	�	�	PROPN
ap-282	135	30	�	�	PROPN
ap-282	135	31	�	�	PROPN
ap-282	135	32	�	�	PROPN
ap-282	135	33	�	�	PROPN
ap-282	135	34	�	�	PROPN
ap-282	135	35	�	�	PROPN
ap-282	135	36	�	�	PROPN
ap-282	135	37	�	�	PROPN
ap-282	135	38	�	�	PROPN
ap-282	135	39	�	�	PROPN
ap-282	135	40	�	�	PROPN
ap-282	135	41	�	�	PROPN
ap-282	135	42	�	�	PROPN
ap-282	135	43	�	�	PROPN
ap-282	135	44	�	�	PROPN
ap-282	135	45	�	�	PROPN
ap-282	135	46	�	�	PROPN
ap-282	135	47	�	�	PROPN
ap-282	135	48	�	�	PROPN
ap-282	135	49	�	�	PROPN
ap-282	135	50	�	�	PROPN
ap-282	135	51	�	�	PROPN
ap-282	135	52	�	�	PROPN
ap-282	135	53	sin	sin	PROPN
ap-282	135	54	�	�	PROPN
ap-282	135	55	�	�	PROPN
ap-282	135	56	z	z	PROPN
ap-282	135	57	d	d	PROPN
ap-282	135	58	z	z	SYM
ap-282	135	59	d	d	PROPN
ap-282	135	60	�	�	PROPN
ap-282	135	61	�	�	PROPN
ap-282	135	62	�	�	PROPN
ap-282	135	63	�	�	PROPN
ap-282	135	64	�	�	PROPN
ap-282	135	65	�	�	PROPN
ap-282	135	66	�	�	PROPN
ap-282	135	67	�	�	PROPN
ap-282	135	68	�	�	PROPN
ap-282	135	69	�	�	PROPN
ap-282	135	70	�	�	PROPN
ap-282	135	71	�	�	PROPN
ap-282	135	72	�	�	PROPN
ap-282	135	73	(	(	PUNCT
ap-282	135	74	32	32	NUM
ap-282	135	75	)	)	PUNCT
ap-282	135	76	3.3.2	3.3.2	NUM
ap-282	135	77	semifinite	semifinite	ADP
ap-282	135	78	part	part	NOUN
ap-282	135	79	of	of	ADP
ap-282	135	80	a	a	DET
ap-282	135	81	harmonic	harmonic	ADJ
ap-282	135	82	signal	signal	NOUN
ap-282	135	83	a	a	DET
ap-282	135	84	special	special	ADJ
ap-282	135	85	case	case	NOUN
ap-282	135	86	of	of	ADP
ap-282	135	87	the	the	DET
ap-282	135	88	previous	previous	ADJ
ap-282	135	89	section	section	NOUN
ap-282	135	90	is	be	AUX
ap-282	135	91	the	the	DET
ap-282	135	92	semifinite	semifinite	ADJ
ap-282	135	93	part	part	NOUN
ap-282	135	94	of	of	ADP
ap-282	135	95	the	the	DET
ap-282	135	96	harmonic	harmonic	ADJ
ap-282	135	97	signal	signal	NOUN
ap-282	135	98	shown	show	VERB
ap-282	135	99	in	in	ADP
ap-282	135	100	figure	figure	NOUN
ap-282	135	101	10	10	NUM
ap-282	135	102	.	.	PUNCT
ap-282	136	1	the	the	DET
ap-282	136	2	function	function	NOUN
ap-282	136	3	shown	show	VERB
ap-282	136	4	in	in	ADP
ap-282	136	5	the	the	DET
ap-282	136	6	figure	figure	NOUN
ap-282	136	7	above	above	ADV
ap-282	136	8	can	can	AUX
ap-282	136	9	be	be	AUX
ap-282	136	10	expressed	express	VERB
ap-282	136	11	as	as	ADP
ap-282	136	12	:	:	PUNCT
ap-282	136	13	�	�	PROPN
ap-282	136	14	�	�	PROPN
ap-282	136	15	�	�	PROPN
ap-282	136	16	�	�	PROPN
ap-282	136	17	x	x	PROPN
ap-282	136	18	t	t	PROPN
ap-282	136	19	t	t	PROPN
ap-282	136	20	t	t	PROPN
ap-282	136	21	t	t	PROPN
ap-282	136	22	�	�	PROPN
ap-282	136	23	�	�	PROPN
ap-282	136	24	�	�	PROPN
ap-282	136	25	�	�	PROPN
ap-282	136	26	�	�	PROPN
ap-282	136	27	�	�	PROPN
ap-282	136	28	cos	cos	PROPN
ap-282	136	29	,	,	PUNCT
ap-282	136	30	�	�	PROPN
ap-282	136	31	�	�	PROPN
ap-282	136	32	�	�	PROPN
ap-282	136	33	0	0	NUM
ap-282	136	34	00	00	NUM
ap-282	136	35	0	0	NUM
ap-282	136	36	0	0	NUM
ap-282	136	37	0	0	NUM
ap-282	136	38	pro	pro	ADJ
ap-282	136	39	pro	pro	X
ap-282	136	40	(	(	PUNCT
ap-282	136	41	44	44	NUM
ap-282	136	42	)	)	PUNCT
ap-282	136	43	©	©	PROPN
ap-282	136	44	czech	czech	PROPN
ap-282	136	45	technical	technical	PROPN
ap-282	136	46	university	university	PROPN
ap-282	136	47	publishing	publishing	NOUN
ap-282	136	48	house	house	NOUN
ap-282	136	49	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-282	136	50	29	29	NUM
ap-282	136	51	acta	acta	PROPN
ap-282	136	52	polytechnica	polytechnica	PROPN
ap-282	136	53	vol	vol	NOUN
ap-282	136	54	.	.	PUNCT
ap-282	137	1	41	41	NUM
ap-282	137	2	no	no	NOUN
ap-282	137	3	.	.	PUNCT
ap-282	138	1	6/2001	6/2001	NUM
ap-282	138	2	the	the	DET
ap-282	138	3	equation	equation	NOUN
ap-282	138	4	(	(	PUNCT
ap-282	138	5	33	33	NUM
ap-282	138	6	)	)	PUNCT
ap-282	138	7	and	and	CCONJ
ap-282	138	8	subsequently	subsequently	ADV
ap-282	138	9	equation	equation	NOUN
ap-282	138	10	(	(	PUNCT
ap-282	138	11	34	34	NUM
ap-282	138	12	)	)	PUNCT
ap-282	138	13	will	will	AUX
ap-282	138	14	be	be	AUX
ap-282	138	15	given	give	VERB
ap-282	138	16	by	by	ADP
ap-282	138	17	using	use	VERB
ap-282	138	18	the	the	DET
ap-282	138	19	properties	property	NOUN
ap-282	138	20	of	of	ADP
ap-282	138	21	even	even	ADV
ap-282	138	22	function	function	NOUN
ap-282	138	23	s(z	s(z	PROPN
ap-282	138	24	)	)	PUNCT
ap-282	138	25	and	and	CCONJ
ap-282	138	26	odd	odd	ADJ
ap-282	138	27	function	function	NOUN
ap-282	138	28	c(z	c(z	NUM
ap-282	138	29	)	)	PUNCT
ap-282	138	30	.	.	PUNCT
ap-282	139	1	�	�	PROPN
ap-282	139	2	�	�	PROPN
ap-282	139	3	�	�	PROPN
ap-282	139	4	�	�	PROPN
ap-282	139	5	�	�	PROPN
ap-282	139	6	�	�	PROPN
ap-282	139	7	�	�	PROPN
ap-282	139	8	�	�	PROPN
ap-282	139	9	~	~	PUNCT
ap-282	139	10	lim	lim	PROPN
ap-282	139	11	cosx	cosx	PROPN
ap-282	139	12	t	t	PROPN
ap-282	140	1	t	t	PROPN
ap-282	140	2	c	c	PROPN
ap-282	140	3	z	z	PROPN
ap-282	140	4	c	c	PROPN
ap-282	140	5	z	z	PROPN
ap-282	140	6	z	z	NOUN
ap-282	140	7	z	z	NOUN
ap-282	140	8	�	�	PROPN
ap-282	140	9	�	�	PROPN
ap-282	140	10	�	�	PROPN
ap-282	140	11	�	�	PROPN
ap-282	140	12	�	�	PROPN
ap-282	140	13	�	�	PROPN
ap-282	140	14	�	�	PROPN
ap-282	140	15	�	�	PROPN
ap-282	140	16	�	�	PROPN
ap-282	140	17	�	�	PROPN
ap-282	140	18	�	�	PROPN
ap-282	140	19	�	�	PROPN
ap-282	140	20	�	�	PROPN
ap-282	140	21	�	�	PROPN
ap-282	140	22	�	�	PROPN
ap-282	140	23	�	�	PROPN
ap-282	140	24	�	�	PROPN
ap-282	140	25	�	�	PROPN
ap-282	140	26	�	�	PROPN
ap-282	140	27	�	�	PROPN
ap-282	140	28	�	�	PROPN
ap-282	140	29	�	�	PROPN
ap-282	140	30	0	0	NUM
ap-282	140	31	0	0	NUM
ap-282	140	32	1	1	NUM
ap-282	140	33	1	1	NUM
ap-282	140	34	2	2	NUM
ap-282	140	35	z	z	NOUN
ap-282	140	36	d	d	NOUN
ap-282	140	37	z	z	NOUN
ap-282	140	38	d	d	PROPN
ap-282	140	39	�	�	PROPN
ap-282	140	40	�	�	PROPN
ap-282	140	41	�	�	PROPN
ap-282	140	42	�	�	PROPN
ap-282	140	43	�	�	PROPN
ap-282	140	44	�	�	PROPN
ap-282	140	45	�	�	PROPN
ap-282	140	46	�	�	PROPN
ap-282	140	47	�	�	PROPN
ap-282	140	48	�	�	PROPN
ap-282	140	49	�	�	PROPN
ap-282	140	50	�	�	PROPN
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ap-282	142	60	0	0	NUM
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ap-282	143	1	#	#	NOUN
ap-282	143	2	#	#	NOUN
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ap-282	144	9	36	36	NUM
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ap-282	144	21	)	)	PUNCT
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ap-282	144	25	�	�	PROPN
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ap-282	144	27	�	�	PROPN
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ap-282	144	53	�	�	PROPN
ap-282	144	54	�	�	PROPN
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ap-282	144	89	�	�	PROPN
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ap-282	144	91	�	�	PROPN
ap-282	144	92	�	�	PROPN
ap-282	144	93	�	�	PROPN
ap-282	144	94	�	�	PROPN
ap-282	144	95	�	�	PROPN
ap-282	144	96	�	�	PROPN
ap-282	144	97	�	�	PROPN
ap-282	144	98	�	�	PROPN
ap-282	144	99	�	�	PROPN
ap-282	144	100	�	�	PROPN
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ap-282	148	36	�	�	PROPN
ap-282	148	37	�	�	PROPN
ap-282	148	38	�	�	PROPN
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ap-282	148	60	0	0	NUM
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ap-282	148	62	0	0	NUM
ap-282	148	63	1	1	NUM
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ap-282	148	65	t	t	NOUN
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ap-282	148	74	�	�	PROPN
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ap-282	148	81	�	�	PROPN
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ap-282	148	83	�	�	PROPN
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ap-282	148	85	"	"	PUNCT
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ap-282	149	2	#	#	NOUN
ap-282	149	3	#	#	NOUN
ap-282	149	4	$	$	NUM
ap-282	149	5	%	%	NOUN
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ap-282	149	10	�	�	PROPN
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ap-282	150	1	d	d	PROPN
ap-282	150	2	z	z	PROPN
ap-282	150	3	d	d	PROPN
ap-282	150	4	(	(	PUNCT
ap-282	150	5	38	38	NUM
ap-282	150	6	)	)	PUNCT
ap-282	150	7	equation	equation	NOUN
ap-282	150	8	(	(	PUNCT
ap-282	150	9	40	40	NUM
ap-282	150	10	)	)	PUNCT
ap-282	150	11	is	be	AUX
ap-282	150	12	given	give	VERB
ap-282	150	13	by	by	ADP
ap-282	150	14	conversion	conversion	NOUN
ap-282	150	15	and	and	CCONJ
ap-282	150	16	inversion	inversion	NOUN
ap-282	150	17	substitution	substitution	NOUN
ap-282	150	18	.	.	PUNCT
ap-282	151	1	�	�	PROPN
ap-282	151	2	�	�	PROPN
ap-282	151	3	�	�	PROPN
ap-282	151	4	�	�	PROPN
ap-282	151	5	�	�	PROPN
ap-282	151	6	�	�	PROPN
ap-282	151	7	�	�	PROPN
ap-282	151	8	�	�	PROPN
ap-282	151	9	�	�	PROPN
ap-282	151	10	�	�	PROPN
ap-282	151	11	�	�	PROPN
ap-282	151	12	�	�	PROPN
ap-282	151	13	�	�	PROPN
ap-282	151	14	�	�	PROPN
ap-282	151	15	~	~	SYM
ap-282	151	16	cos	cos	PROPN
ap-282	151	17	sinx	sinx	PROPN
ap-282	151	18	t	t	PROPN
ap-282	151	19	t	t	PROPN
ap-282	151	20	ci	ci	PROPN
ap-282	151	21	z	z	PROPN
ap-282	151	22	ci	ci	PROPN
ap-282	151	23	z	z	PROPN
ap-282	151	24	t	t	PROPN
ap-282	151	25	si	si	PROPN
ap-282	151	26	z	z	PROPN
ap-282	151	27	si	si	PROPN
ap-282	151	28	�	�	PROPN
ap-282	151	29	�	�	PROPN
ap-282	151	30	�	�	PROPN
ap-282	151	31	�	�	PROPN
ap-282	151	32	�	�	PROPN
ap-282	151	33	�	�	PROPN
ap-282	151	34	�	�	PROPN
ap-282	151	35	�	�	PROPN
ap-282	151	36	�	�	PROPN
ap-282	151	37	�	�	PROPN
ap-282	151	38	�	�	PROPN
ap-282	151	39	1	1	NUM
ap-282	151	40	0	0	NUM
ap-282	151	41	0	0	NUM
ap-282	151	42	1	1	NUM
ap-282	151	43	0	0	NUM
ap-282	151	44	2	2	NUM
ap-282	151	45	0	0	NUM
ap-282	151	46	0	0	NUM
ap-282	151	47	1	1	NUM
ap-282	151	48	�	�	PROPN
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ap-282	151	50	�	�	PROPN
ap-282	151	51	�	�	PROPN
ap-282	151	52	�	�	PROPN
ap-282	151	53	�	�	PROPN
ap-282	151	54	�	�	PROPN
ap-282	151	55	�	�	PROPN
ap-282	151	56	�	�	PROPN
ap-282	151	57	�	�	PROPN
ap-282	151	58	�	�	PROPN
ap-282	151	59	�	�	PROPN
ap-282	151	60	�	�	PROPN
ap-282	151	61	�	�	PROPN
ap-282	151	62	�	�	PROPN
ap-282	151	63	0	0	NUM
ap-282	151	64	2z	2z	NUM
ap-282	151	65	(	(	PUNCT
ap-282	151	66	39	39	NUM
ap-282	151	67	)	)	PUNCT
ap-282	151	68	�	�	PROPN
ap-282	151	69	�	�	PROPN
ap-282	151	70	�	�	PROPN
ap-282	151	71	�	�	PROPN
ap-282	151	72	�	�	PROPN
ap-282	151	73	�	�	PROPN
ap-282	151	74	�	�	PROPN
ap-282	151	75	�	�	PROPN
ap-282	151	76	�	�	PROPN
ap-282	151	77	�	�	PROPN
ap-282	151	78	�	�	PROPN
ap-282	151	79	�	�	PROPN
ap-282	151	80	�	�	PROPN
ap-282	151	81	�	�	PROPN
ap-282	151	82	�	�	PROPN
ap-282	151	83	�	�	PROPN
ap-282	151	84	�	�	PROPN
ap-282	151	85	�	�	PROPN
ap-282	151	86	�	�	PROPN
ap-282	151	87	�	�	PROPN
ap-282	151	88	~	~	PUNCT
ap-282	151	89	cos	cos	PROPN
ap-282	151	90	sinx	sinx	PROPN
ap-282	151	91	t	t	PROPN
ap-282	151	92	t	t	PROPN
ap-282	151	93	ci	ci	PROPN
ap-282	151	94	t	t	PROPN
ap-282	151	95	t	t	PROPN
ap-282	151	96	ci	ci	PROPN
ap-282	151	97	t	t	PROPN
ap-282	151	98	t	t	PROPN
ap-282	151	99	t	t	PROPN
ap-282	151	100	si	si	PROPN
ap-282	151	101	t	t	PROPN
ap-282	151	102	t	t	PROPN
ap-282	151	103	s	s	PROPN
ap-282	151	104	�	�	PROPN
ap-282	151	105	�	�	PROPN
ap-282	151	106	�	�	PROPN
ap-282	151	107	�	�	PROPN
ap-282	151	108	�	�	PROPN
ap-282	151	109	�	�	PROPN
ap-282	151	110	�	�	PROPN
ap-282	151	111	�	�	PROPN
ap-282	151	112	�	�	PROPN
ap-282	151	113	1	1	NUM
ap-282	151	114	0	0	NUM
ap-282	151	115	0	0	NUM
ap-282	151	116	1	1	NUM
ap-282	151	117	0	0	NUM
ap-282	151	118	2	2	NUM
ap-282	151	119	0	0	NUM
ap-282	151	120	0	0	NUM
ap-282	151	121	1	1	NUM
ap-282	151	122	�	�	PROPN
ap-282	151	123	�	�	PROPN
ap-282	151	124	�	�	PROPN
ap-282	151	125	�	�	PROPN
ap-282	151	126	�	�	PROPN
ap-282	151	127	�	�	PROPN
ap-282	151	128	�	�	PROPN
ap-282	151	129	�	�	PROPN
ap-282	151	130	�	�	PROPN
ap-282	151	131	�	�	PROPN
ap-282	151	132	�	�	PROPN
ap-282	151	133	�	�	PROPN
ap-282	151	134	�	�	PROPN
ap-282	151	135	�	�	PROPN
ap-282	151	136	�	�	PROPN
ap-282	151	137	i	i	PRON
ap-282	151	138	t	t	PROPN
ap-282	151	139	t	t	PROPN
ap-282	151	140	�	�	PROPN
ap-282	151	141	0	0	NUM
ap-282	151	142	2	2	NUM
ap-282	151	143	�	�	PROPN
ap-282	151	144	(	(	PUNCT
ap-282	151	145	40	40	NUM
ap-282	151	146	)	)	PUNCT
ap-282	151	147	let	let	VERB
ap-282	151	148	us	we	PRON
ap-282	151	149	rewrite	rewrite	VERB
ap-282	151	150	equations	equation	NOUN
ap-282	151	151	(	(	PUNCT
ap-282	151	152	30	30	NUM
ap-282	151	153	)	)	PUNCT
ap-282	151	154	,	,	PUNCT
ap-282	151	155	(	(	PUNCT
ap-282	151	156	36	36	NUM
ap-282	151	157	)	)	PUNCT
ap-282	151	158	and	and	CCONJ
ap-282	151	159	(	(	PUNCT
ap-282	151	160	40	40	NUM
ap-282	151	161	)	)	PUNCT
ap-282	151	162	as	as	ADP
ap-282	151	163	a	a	DET
ap-282	151	164	function	function	NOUN
ap-282	151	165	with	with	ADP
ap-282	151	166	parameters	parameter	NOUN
ap-282	151	167	.	.	PUNCT
ap-282	152	1	from	from	ADP
ap-282	152	2	equation	equation	NOUN
ap-282	152	3	(	(	PUNCT
ap-282	152	4	30	30	NUM
ap-282	152	5	)	)	PUNCT
ap-282	152	6	it	it	PRON
ap-282	152	7	holds	hold	VERB
ap-282	152	8	for	for	ADP
ap-282	152	9	t	t	PROPN
ap-282	152	10	t	t	PROPN
ap-282	152	11	t	t	PROPN
ap-282	152	12	�	�	PROPN
ap-282	152	13	�	�	PROPN
ap-282	152	14	1	1	NUM
ap-282	152	15	2	2	NUM
ap-282	152	16	�	�	PROPN
ap-282	152	17	�	�	PROPN
ap-282	152	18	�	�	PROPN
ap-282	152	19	�	�	PROPN
ap-282	152	20	�	�	PROPN
ap-282	152	21	�	�	PROPN
ap-282	152	22	�	�	PROPN
ap-282	152	23	�	�	PROPN
ap-282	152	24	�	�	PROPN
ap-282	152	25	�	�	PROPN
ap-282	152	26	�	�	PROPN
ap-282	152	27	�	�	PROPN
ap-282	152	28	�	�	PROPN
ap-282	152	29	�	�	PROPN
ap-282	152	30	�	�	PROPN
ap-282	152	31	�	�	PROPN
ap-282	152	32	y	y	PROPN
ap-282	152	33	t	t	PROPN
ap-282	152	34	t	t	PROPN
ap-282	152	35	t	t	PROPN
ap-282	152	36	t	t	PROPN
ap-282	152	37	ci	ci	PROPN
ap-282	152	38	t	t	PROPN
ap-282	152	39	t	t	PROPN
ap-282	152	40	ci	ci	PROPN
ap-282	152	41	t	t	PROPN
ap-282	152	42	t	t	PROPN
ap-282	152	43	t	t	PROPN
ap-282	152	44	si1	si1	VERB
ap-282	152	45	1	1	NUM
ap-282	152	46	2	2	NUM
ap-282	152	47	0	0	NUM
ap-282	152	48	0	0	NUM
ap-282	152	49	1	1	NUM
ap-282	152	50	0	0	NUM
ap-282	152	51	2	2	NUM
ap-282	152	52	0	0	NUM
ap-282	152	53	0	0	NUM
ap-282	152	54	1	1	NUM
ap-282	152	55	,	,	PUNCT
ap-282	152	56	,	,	PUNCT
ap-282	152	57	cos	cos	SCONJ
ap-282	152	58	sin	sin	PROPN
ap-282	152	59	�	�	PROPN
ap-282	152	60	�	�	PROPN
ap-282	152	61	�	�	PROPN
ap-282	152	62	�	�	PROPN
ap-282	152	63	�	�	PROPN
ap-282	152	64	�	�	PROPN
ap-282	152	65	�	�	PROPN
ap-282	152	66	�	�	PROPN
ap-282	152	67	�	�	PROPN
ap-282	152	68	�	�	PROPN
ap-282	152	69	�	�	PROPN
ap-282	152	70	�	�	PROPN
ap-282	152	71	�	�	PROPN
ap-282	152	72	�	�	PROPN
ap-282	152	73	�	�	PROPN
ap-282	152	74	�	�	PROPN
ap-282	152	75	�	�	PROPN
ap-282	152	76	�	�	PROPN
ap-282	152	77	�	�	PROPN
ap-282	152	78	�	�	PROPN
ap-282	152	79	�	�	PROPN
ap-282	152	80	�	�	PROPN
ap-282	152	81	�	�	PROPN
ap-282	152	82	�	�	PROPN
ap-282	152	83	�	�	PROPN
ap-282	152	84	�	�	PROPN
ap-282	152	85	t	t	PROPN
ap-282	152	86	t	t	PROPN
ap-282	152	87	si	si	PROPN
ap-282	152	88	t	t	PROPN
ap-282	152	89	t2	t2	PROPN
ap-282	152	90	0	0	NUM
ap-282	152	91	1	1	NUM
ap-282	152	92	�	�	PROPN
ap-282	152	93	�	�	PROPN
ap-282	152	94	�	�	PROPN
ap-282	152	95	�	�	PROPN
ap-282	152	96	(	(	PUNCT
ap-282	152	97	41	41	NUM
ap-282	152	98	)	)	PUNCT
ap-282	152	99	from	from	ADP
ap-282	152	100	equation	equation	NOUN
ap-282	152	101	(	(	PUNCT
ap-282	152	102	36	36	NUM
ap-282	152	103	)	)	PUNCT
ap-282	152	104	it	it	PRON
ap-282	152	105	holds	hold	VERB
ap-282	152	106	for	for	ADP
ap-282	152	107	t	t	PROPN
ap-282	152	108	t	t	PROPN
ap-282	152	109	t1	t1	NOUN
ap-282	152	110	2	2	NUM
ap-282	152	111	�	�	PROPN
ap-282	152	112	�	�	PROPN
ap-282	152	113	�	�	PROPN
ap-282	152	114	�	�	PROPN
ap-282	152	115	�	�	PROPN
ap-282	152	116	�	�	PROPN
ap-282	152	117	�	�	PROPN
ap-282	152	118	�	�	PROPN
ap-282	152	119	�	�	PROPN
ap-282	152	120	�	�	PROPN
ap-282	152	121	�	�	PROPN
ap-282	152	122	�	�	PROPN
ap-282	152	123	�	�	PROPN
ap-282	152	124	�	�	PROPN
ap-282	152	125	�	�	PROPN
ap-282	152	126	�	�	PROPN
ap-282	152	127	�	�	PROPN
ap-282	152	128	�	�	PROPN
ap-282	152	129	y	y	PROPN
ap-282	152	130	t	t	PROPN
ap-282	152	131	t	t	PROPN
ap-282	153	1	t	t	PROPN
ap-282	153	2	t	t	PROPN
ap-282	153	3	ci	ci	PROPN
ap-282	153	4	t	t	PROPN
ap-282	153	5	t	t	PROPN
ap-282	153	6	ci	ci	PROPN
ap-282	153	7	t	t	PROPN
ap-282	153	8	t	t	PROPN
ap-282	153	9	t	t	NOUN
ap-282	153	10	si2	si2	VERB
ap-282	153	11	1	1	NUM
ap-282	153	12	2	2	NUM
ap-282	153	13	0	0	NUM
ap-282	153	14	0	0	NUM
ap-282	153	15	1	1	NUM
ap-282	153	16	0	0	NUM
ap-282	153	17	2	2	NUM
ap-282	153	18	0	0	NUM
ap-282	153	19	0	0	NUM
ap-282	153	20	1	1	NUM
ap-282	153	21	,	,	PUNCT
ap-282	153	22	,	,	PUNCT
ap-282	153	23	cos	cos	SCONJ
ap-282	153	24	sin	sin	PROPN
ap-282	153	25	�	�	PROPN
ap-282	153	26	�	�	PROPN
ap-282	153	27	�	�	PROPN
ap-282	153	28	�	�	PROPN
ap-282	153	29	�	�	PROPN
ap-282	153	30	�	�	PROPN
ap-282	153	31	�	�	PROPN
ap-282	153	32	�	�	PROPN
ap-282	153	33	�	�	PROPN
ap-282	153	34	�	�	PROPN
ap-282	153	35	�	�	PROPN
ap-282	153	36	�	�	PROPN
ap-282	153	37	�	�	PROPN
ap-282	153	38	�	�	PROPN
ap-282	153	39	�	�	PROPN
ap-282	153	40	�	�	PROPN
ap-282	153	41	�	�	PROPN
ap-282	153	42	�	�	PROPN
ap-282	153	43	�	�	PROPN
ap-282	153	44	�	�	PROPN
ap-282	153	45	�	�	PROPN
ap-282	153	46	�	�	PROPN
ap-282	153	47	�	�	PROPN
ap-282	153	48	�	�	PROPN
ap-282	153	49	�	�	PROPN
ap-282	153	50	�	�	PROPN
ap-282	153	51	t	t	PROPN
ap-282	153	52	t	t	PROPN
ap-282	153	53	si	si	PROPN
ap-282	153	54	t	t	PROPN
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ap-282	153	56	0	0	NUM
ap-282	153	57	1	1	NUM
ap-282	153	58	�	�	PROPN
ap-282	153	59	�	�	PROPN
ap-282	153	60	�	�	PROPN
ap-282	153	61	�	�	PROPN
ap-282	153	62	(	(	PUNCT
ap-282	153	63	42	42	NUM
ap-282	153	64	)	)	PUNCT
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ap-282	153	66	equation	equation	NOUN
ap-282	153	67	(	(	PUNCT
ap-282	153	68	40	40	NUM
ap-282	153	69	)	)	PUNCT
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ap-282	153	71	for	for	ADP
ap-282	153	72	t	t	PROPN
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ap-282	153	74	t1	t1	NOUN
ap-282	153	75	2	2	NUM
ap-282	153	76	�	�	PROPN
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ap-282	153	78	�	�	PROPN
ap-282	153	79	�	�	PROPN
ap-282	153	80	�	�	PROPN
ap-282	153	81	�	�	PROPN
ap-282	153	82	�	�	PROPN
ap-282	153	83	�	�	PROPN
ap-282	153	84	�	�	PROPN
ap-282	153	85	�	�	PROPN
ap-282	153	86	�	�	PROPN
ap-282	153	87	�	�	PROPN
ap-282	153	88	�	�	PROPN
ap-282	153	89	�	�	PROPN
ap-282	153	90	�	�	PROPN
ap-282	153	91	�	�	PROPN
ap-282	153	92	�	�	PROPN
ap-282	153	93	�	�	PROPN
ap-282	153	94	y	y	PROPN
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ap-282	153	96	t	t	PROPN
ap-282	154	1	t	t	PROPN
ap-282	154	2	t	t	PROPN
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ap-282	154	4	t	t	PROPN
ap-282	154	5	t	t	PROPN
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ap-282	154	12	2	2	NUM
ap-282	154	13	0	0	NUM
ap-282	154	14	0	0	NUM
ap-282	154	15	1	1	NUM
ap-282	154	16	0	0	NUM
ap-282	154	17	2	2	NUM
ap-282	154	18	0	0	NUM
ap-282	154	19	0	0	NUM
ap-282	154	20	1	1	NUM
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ap-282	154	22	,	,	PUNCT
ap-282	154	23	cos	cos	ADP
ap-282	154	24	sin	sin	PROPN
ap-282	154	25	�	�	PROPN
ap-282	154	26	�	�	PROPN
ap-282	154	27	�	�	PROPN
ap-282	154	28	�	�	PROPN
ap-282	154	29	�	�	PROPN
ap-282	154	30	�	�	PROPN
ap-282	154	31	�	�	PROPN
ap-282	154	32	�	�	PROPN
ap-282	154	33	�	�	PROPN
ap-282	154	34	�	�	PROPN
ap-282	154	35	�	�	PROPN
ap-282	154	36	�	�	PROPN
ap-282	154	37	�	�	PROPN
ap-282	154	38	�	�	PROPN
ap-282	154	39	�	�	PROPN
ap-282	154	40	�	�	PROPN
ap-282	154	41	�	�	PROPN
ap-282	154	42	�	�	PROPN
ap-282	154	43	�	�	PROPN
ap-282	154	44	�	�	PROPN
ap-282	154	45	�	�	PROPN
ap-282	154	46	�	�	PROPN
ap-282	154	47	�	�	PROPN
ap-282	154	48	�	�	PROPN
ap-282	154	49	�	�	PROPN
ap-282	154	50	�	�	PROPN
ap-282	154	51	t	t	PROPN
ap-282	154	52	t	t	PROPN
ap-282	154	53	si	si	PROPN
ap-282	154	54	t	t	PROPN
ap-282	154	55	t	t	PROPN
ap-282	154	56	�	�	PROPN
ap-282	154	57	�	�	PROPN
ap-282	154	58	�	�	PROPN
ap-282	154	59	1	1	NUM
ap-282	154	60	0	0	NUM
ap-282	154	61	2	2	NUM
ap-282	154	62	�	�	PROPN
ap-282	154	63	(	(	PUNCT
ap-282	154	64	43	43	NUM
ap-282	154	65	)	)	PUNCT
ap-282	154	66	1	1	NUM
ap-282	154	67	x	x	SYM
ap-282	154	68	(	(	PUNCT
ap-282	154	69	t	t	NOUN
ap-282	154	70	)	)	PUNCT
ap-282	154	71	fig	fig	NOUN
ap-282	154	72	.	.	PUNCT
ap-282	155	1	10	10	NUM
ap-282	155	2	:	:	PUNCT
ap-282	155	3	semifinite	semifinite	VERB
ap-282	155	4	part	part	NOUN
ap-282	155	5	of	of	ADP
ap-282	155	6	a	a	DET
ap-282	155	7	harmonic	harmonic	ADJ
ap-282	155	8	signal	signal	NOUN
ap-282	155	9	the	the	DET
ap-282	155	10	same	same	ADJ
ap-282	155	11	result	result	NOUN
ap-282	155	12	we	we	PRON
ap-282	155	13	obtained	obtain	VERB
ap-282	155	14	if	if	SCONJ
ap-282	155	15	we	we	PRON
ap-282	155	16	use	use	VERB
ap-282	155	17	the	the	DET
ap-282	155	18	function	function	NOUN
ap-282	155	19	defined	define	VERB
ap-282	155	20	by	by	ADP
ap-282	155	21	equation	equation	NOUN
ap-282	155	22	(	(	PUNCT
ap-282	155	23	20	20	NUM
ap-282	155	24	)	)	PUNCT
ap-282	155	25	,	,	PUNCT
ap-282	156	1	when	when	SCONJ
ap-282	156	2	t1	t1	PROPN
ap-282	156	3	0	0	NUM
ap-282	156	4	�	�	PROPN
ap-282	156	5	,	,	PUNCT
ap-282	156	6	t2	t2	PROPN
ap-282	156	7	�	�	PROPN
ap-282	156	8	�	�	PROPN
ap-282	156	9	.	.	PUNCT
ap-282	156	10	thus	thus	ADV
ap-282	156	11	for	for	ADP
ap-282	156	12	equation	equation	NOUN
ap-282	156	13	(	(	PUNCT
ap-282	156	14	30	30	NUM
ap-282	156	15	)	)	PUNCT
ap-282	156	16	and	and	CCONJ
ap-282	156	17	(	(	PUNCT
ap-282	156	18	36	36	NUM
ap-282	156	19	)	)	PUNCT
ap-282	156	20	it	it	PRON
ap-282	156	21	holds	hold	VERB
ap-282	156	22	:	:	PUNCT
ap-282	156	23	�	�	PROPN
ap-282	156	24	for	for	ADP
ap-282	156	25	t	t	PROPN
ap-282	156	26	<	<	X
ap-282	156	27	0	0	NUM
ap-282	156	28	�	�	PROPN
ap-282	156	29	�	�	PROPN
ap-282	156	30	�	�	PROPN
ap-282	156	31	�	�	PROPN
ap-282	156	32	�	�	PROPN
ap-282	156	33	�	�	PROPN
ap-282	156	34	�	�	PROPN
ap-282	156	35	�	�	PROPN
ap-282	156	36	�	�	PROPN
ap-282	156	37	�	�	PROPN
ap-282	156	38	�	�	PROPN
ap-282	156	39	~	~	PUNCT
ap-282	156	40	cos	cos	ADP
ap-282	156	41	sin	sin	NOUN
ap-282	156	42	x	x	PUNCT
ap-282	156	43	t	t	PROPN
ap-282	156	44	t	t	PROPN
ap-282	156	45	ci	ci	PROPN
ap-282	156	46	t	t	PROPN
ap-282	156	47	t	t	PROPN
ap-282	156	48	si	si	PROPN
ap-282	156	49	t	t	PROPN
ap-282	156	50	�	�	PROPN
ap-282	156	51	�	�	PROPN
ap-282	156	52	�	�	PROPN
ap-282	156	53	�	�	PROPN
ap-282	156	54	�	�	PROPN
ap-282	156	55	�	�	PROPN
ap-282	156	56	�	�	PROPN
ap-282	156	57	�	�	PROPN
ap-282	156	58	!	!	PUNCT
ap-282	157	1	"	"	PUNCT
ap-282	157	2	#	#	NOUN
ap-282	157	3	$	$	SYM
ap-282	157	4	%	%	NOUN
ap-282	157	5	&	&	CCONJ
ap-282	157	6	1	1	NUM
ap-282	157	7	1	1	NUM
ap-282	157	8	2	2	NUM
ap-282	157	9	0	0	NUM
ap-282	157	10	0	0	NUM
ap-282	157	11	0	0	SYM
ap-282	157	12	0	0	NUM
ap-282	157	13	�	�	PROPN
ap-282	157	14	�	�	PROPN
ap-282	157	15	�	�	PROPN
ap-282	157	16	�	�	PROPN
ap-282	157	17	�	�	PROPN
ap-282	157	18	�	�	PROPN
ap-282	157	19	�	�	PROPN
ap-282	157	20	�	�	PROPN
ap-282	157	21	�	�	PROPN
ap-282	157	22	(	(	PUNCT
ap-282	157	23	45	45	NUM
ap-282	157	24	)	)	PUNCT
ap-282	157	25	�	�	PROPN
ap-282	157	26	for	for	ADP
ap-282	157	27	t	t	PROPN
ap-282	157	28	>	>	SYM
ap-282	157	29	0	0	NUM
ap-282	157	30	�	�	PROPN
ap-282	157	31	�	�	PROPN
ap-282	157	32	�	�	PROPN
ap-282	157	33	�	�	PROPN
ap-282	157	34	�	�	PROPN
ap-282	157	35	�	�	PROPN
ap-282	157	36	�	�	PROPN
ap-282	157	37	�	�	PROPN
ap-282	157	38	�	�	PROPN
ap-282	157	39	�	�	PROPN
ap-282	157	40	�	�	PROPN
ap-282	157	41	~	~	PUNCT
ap-282	157	42	cos	cos	ADP
ap-282	157	43	sin	sin	NOUN
ap-282	158	1	x	x	PUNCT
ap-282	158	2	t	t	PROPN
ap-282	158	3	t	t	PROPN
ap-282	158	4	ci	ci	PROPN
ap-282	158	5	t	t	PROPN
ap-282	158	6	t	t	PROPN
ap-282	158	7	si	si	PROPN
ap-282	158	8	t	t	PROPN
ap-282	158	9	�	�	PROPN
ap-282	158	10	�	�	PROPN
ap-282	158	11	�	�	PROPN
ap-282	158	12	�	�	PROPN
ap-282	158	13	�	�	PROPN
ap-282	158	14	�	�	PROPN
ap-282	158	15	�	�	PROPN
ap-282	158	16	!	!	PUNCT
ap-282	159	1	"	"	PUNCT
ap-282	159	2	#	#	NOUN
ap-282	159	3	$	$	SYM
ap-282	159	4	%	%	NOUN
ap-282	159	5	&	&	CCONJ
ap-282	159	6	1	1	NUM
ap-282	159	7	1	1	NUM
ap-282	159	8	2	2	NUM
ap-282	159	9	0	0	NUM
ap-282	159	10	0	0	NUM
ap-282	159	11	0	0	SYM
ap-282	159	12	0	0	NUM
ap-282	159	13	�	�	PROPN
ap-282	159	14	�	�	PROPN
ap-282	159	15	�	�	PROPN
ap-282	159	16	�	�	PROPN
ap-282	159	17	�	�	PROPN
ap-282	159	18	�	�	PROPN
ap-282	159	19	�	�	PROPN
ap-282	159	20	�	�	PROPN
ap-282	159	21	�	�	PROPN
ap-282	159	22	(	(	PUNCT
ap-282	159	23	46	46	NUM
ap-282	159	24	)	)	PUNCT
ap-282	159	25	�	�	PROPN
ap-282	159	26	for	for	ADP
ap-282	159	27	t	t	PROPN
ap-282	159	28	=	=	SYM
ap-282	159	29	0	0	NUM
ap-282	159	30	and	and	CCONJ
ap-282	159	31	�	�	PROPN
ap-282	159	32	�	�	PROPN
ap-282	159	33	�	�	PROPN
ap-282	159	34	�	�	PROPN
ap-282	159	35	�	�	PROPN
ap-282	159	36	�	�	PROPN
ap-282	159	37	2	2	NUM
ap-282	159	38	2	2	NUM
ap-282	159	39	1k	1k	NUM
ap-282	159	40	,	,	PUNCT
ap-282	159	41	where	where	SCONJ
ap-282	159	42	k	k	PROPN
ap-282	159	43	=	=	SYM
ap-282	159	44	1	1	NUM
ap-282	159	45	,	,	PUNCT
ap-282	159	46	2	2	NUM
ap-282	159	47	,	,	PUNCT
ap-282	159	48	…	…	PUNCT
ap-282	159	49	is	be	AUX
ap-282	159	50	a	a	DET
ap-282	159	51	positive	positive	ADJ
ap-282	159	52	integer	integer	NOUN
ap-282	159	53	,	,	PUNCT
ap-282	159	54	the	the	DET
ap-282	159	55	value	value	NOUN
ap-282	159	56	of	of	ADP
ap-282	159	57	�	�	PROPN
ap-282	159	58	�	�	PROPN
ap-282	159	59	~x	~x	SYM
ap-282	159	60	t	t	NOUN
ap-282	159	61	according	accord	VERB
ap-282	159	62	to	to	ADP
ap-282	159	63	equation	equation	NOUN
ap-282	159	64	(	(	PUNCT
ap-282	159	65	47	47	NUM
ap-282	159	66	)	)	PUNCT
ap-282	159	67	is	be	AUX
ap-282	159	68	equal	equal	ADJ
ap-282	159	69	to	to	ADP
ap-282	159	70	�	�	PROPN
ap-282	159	71	0.5	0.5	NUM
ap-282	159	72	.	.	PUNCT
ap-282	159	73	�	�	PROPN
ap-282	159	74	�	�	PROPN
ap-282	159	75	�	�	PROPN
ap-282	159	76	�	�	PROPN
ap-282	159	77	~x	~x	SYM
ap-282	159	78	k0	k0	PROPN
ap-282	159	79	1	1	NUM
ap-282	159	80	2	2	NUM
ap-282	159	81	1	1	NUM
ap-282	159	82	1	1	NUM
ap-282	159	83	�	�	PROPN
ap-282	159	84	�	�	PROPN
ap-282	159	85	�	�	PROPN
ap-282	159	86	(	(	PUNCT
ap-282	159	87	47	47	NUM
ap-282	159	88	)	)	PUNCT
ap-282	159	89	for	for	ADP
ap-282	159	90	t	t	NOUN
ap-282	159	91	=	=	SYM
ap-282	159	92	0	0	NUM
ap-282	159	93	and	and	CCONJ
ap-282	159	94	�	�	PROPN
ap-282	159	95	�	�	PROPN
ap-282	159	96	�	�	PROPN
ap-282	159	97	�	�	PROPN
ap-282	159	98	'	'	PART
ap-282	159	99	�	�	PROPN
ap-282	159	100	2	2	NUM
ap-282	159	101	2	2	NUM
ap-282	159	102	1k	1k	NUM
ap-282	159	103	,	,	PUNCT
ap-282	159	104	and	and	CCONJ
ap-282	159	105	therefore	therefore	ADV
ap-282	159	106	for	for	ADP
ap-282	159	107	other	other	ADJ
ap-282	159	108	phases	phase	NOUN
ap-282	159	109	except	except	SCONJ
ap-282	159	110	�	�	PROPN
ap-282	159	111	2	2	NUM
ap-282	159	112	,	,	PUNCT
ap-282	159	113	3	3	NUM
ap-282	159	114	2	2	NUM
ap-282	159	115	�	�	PROPN
ap-282	159	116	,	,	PUNCT
ap-282	159	117	5	5	NUM
ap-282	159	118	2	2	NUM
ap-282	159	119	�	�	NOUN
ap-282	159	120	,	,	PUNCT
ap-282	159	121	…	…	PUNCT
ap-282	159	122	the	the	DET
ap-282	159	123	quadrature	quadrature	NOUN
ap-282	159	124	signal	signal	NOUN
ap-282	159	125	is	be	AUX
ap-282	159	126	discontinuous	discontinuous	ADJ
ap-282	159	127	,	,	PUNCT
ap-282	159	128	and	and	CCONJ
ap-282	159	129	it	it	PRON
ap-282	159	130	has	have	VERB
ap-282	159	131	an	an	DET
ap-282	159	132	extrinsic	extrinsic	ADJ
ap-282	159	133	limit	limit	NOUN
ap-282	159	134	of	of	ADP
ap-282	159	135	a	a	DET
ap-282	159	136	logarithmic	logarithmic	ADJ
ap-282	159	137	character	character	NOUN
ap-282	159	138	[	[	X
ap-282	159	139	3	3	NUM
ap-282	159	140	]	]	PUNCT
ap-282	159	141	–	–	PUNCT
ap-282	159	142	see	see	VERB
ap-282	159	143	equation	equation	NOUN
ap-282	159	144	(	(	PUNCT
ap-282	159	145	50	50	NUM
ap-282	159	146	)	)	PUNCT
ap-282	159	147	.	.	PUNCT
ap-282	160	1	�	�	PROPN
ap-282	160	2	�	�	PROPN
ap-282	160	3	�	�	PROPN
ap-282	160	4	�	�	PROPN
ap-282	160	5	�	�	PROPN
ap-282	160	6	�	�	PROPN
ap-282	160	7	�	�	PROPN
ap-282	160	8	�	�	PROPN
ap-282	160	9	ci	ci	PROPN
ap-282	160	10	x	x	PUNCT
ap-282	160	11	t	t	PROPN
ap-282	160	12	t	t	PROPN
ap-282	160	13	t	t	PROPN
ap-282	160	14	x	x	SYM
ap-282	160	15	n	n	PROPN
ap-282	160	16	x	x	SYM
ap-282	160	17	n	n	PROPN
ap-282	160	18	x	x	SYM
ap-282	160	19	n	n	CCONJ
ap-282	160	20	n	n	CCONJ
ap-282	160	21	n	n	CCONJ
ap-282	160	22	�	�	PROPN
ap-282	160	23	�	�	PROPN
ap-282	160	24	�	�	PROPN
ap-282	160	25	�	�	PROPN
ap-282	160	26	�	�	PROPN
ap-282	160	27	�	�	PROPN
ap-282	160	28	�	�	PROPN
ap-282	160	29	�	�	PROPN
ap-282	160	30	�	�	PROPN
ap-282	160	31	(	(	PUNCT
ap-282	160	32	cos	cos	INTJ
ap-282	160	33	ln	ln	ADJ
ap-282	160	34	!	!	PUNCT
ap-282	161	1	d	d	X
ap-282	161	2	�	�	PROPN
ap-282	161	3	1	1	NUM
ap-282	161	4	1	1	NUM
ap-282	161	5	2	2	NUM
ap-282	161	6	2	2	NUM
ap-282	161	7	2	2	NUM
ap-282	161	8	1	1	NUM
ap-282	161	9	(	(	PUNCT
ap-282	161	10	48	48	NUM
ap-282	161	11	)	)	PUNCT
ap-282	161	12	where	where	SCONJ
ap-282	161	13	�	�	PROPN
ap-282	161	14	�	�	PROPN
ap-282	161	15	�	�	PROPN
ap-282	161	16	�	�	PROPN
ap-282	161	17	�	�	PROPN
ap-282	161	18	�	�	PROPN
ap-282	161	19	�	�	PROPN
ap-282	161	20	�	�	PROPN
ap-282	161	21	�	�	PROPN
ap-282	161	22	�	�	PROPN
ap-282	161	23	�	�	PROPN
ap-282	161	24	�	�	PROPN
ap-282	161	25	�	�	PROPN
ap-282	161	26	�	�	PROPN
ap-282	161	27	�	�	PROPN
ap-282	161	28	�	�	PROPN
ap-282	161	29	�	�	PROPN
ap-282	161	30	�	�	PROPN
ap-282	161	31	lim	lim	PROPN
ap-282	161	32	ln	ln	AUX
ap-282	161	33	.	.	PUNCT
ap-282	162	1	n	n	CCONJ
ap-282	162	2	n	n	CCONJ
ap-282	162	3	n1	n1	NOUN
ap-282	162	4	1	1	NUM
ap-282	162	5	2	2	NUM
ap-282	162	6	1	1	NUM
ap-282	162	7	3	3	NUM
ap-282	162	8	1	1	NUM
ap-282	162	9	058	058	NUM
ap-282	162	10	�	�	PROPN
ap-282	162	11	(	(	PUNCT
ap-282	162	12	49	49	NUM
ap-282	162	13	)	)	PUNCT
ap-282	162	14	�	�	PROPN
ap-282	162	15	�	�	PROPN
ap-282	162	16	�	�	PROPN
ap-282	162	17	�	�	PROPN
ap-282	162	18	ci	ci	PROPN
ap-282	162	19	t	t	PROPN
ap-282	162	20	t	t	PROPN
ap-282	162	21	t0	t0	PROPN
ap-282	162	22	0	0	PUNCT
ap-282	162	23	�	�	PROPN
ap-282	162	24	�	�	PROPN
ap-282	162	25	�	�	PROPN
ap-282	162	26	�	�	PROPN
ap-282	162	27	�	�	PROPN
ap-282	162	28	cos	cos	PROPN
ap-282	162	29	d	d	PROPN
ap-282	162	30	(	(	PUNCT
ap-282	162	31	50	50	NUM
ap-282	162	32	)	)	PUNCT
ap-282	162	33	3.3.3	3.3.3	NUM
ap-282	162	34	linearly	linearly	ADV
ap-282	162	35	rising	rise	VERB
ap-282	162	36	part	part	NOUN
ap-282	162	37	of	of	ADP
ap-282	162	38	a	a	DET
ap-282	162	39	harmonic	harmonic	ADJ
ap-282	162	40	signal	signal	NOUN
ap-282	162	41	let	let	VERB
ap-282	162	42	us	we	PRON
ap-282	162	43	make	make	VERB
ap-282	162	44	a	a	DET
ap-282	162	45	calculation	calculation	NOUN
ap-282	162	46	of	of	ADP
ap-282	162	47	the	the	DET
ap-282	162	48	linearly	linearly	ADV
ap-282	162	49	rising	rise	VERB
ap-282	162	50	part	part	NOUN
ap-282	162	51	of	of	ADP
ap-282	162	52	harmonic	harmonic	ADJ
ap-282	162	53	signal	signal	NOUN
ap-282	162	54	modulated	modulate	VERB
ap-282	162	55	by	by	ADP
ap-282	162	56	a	a	DET
ap-282	162	57	trapezoidal	trapezoidal	ADJ
ap-282	162	58	pulse	pulse	NOUN
ap-282	162	59	between	between	ADP
ap-282	162	60	points	point	NOUN
ap-282	162	61	t3	t3	PROPN
ap-282	162	62	and	and	CCONJ
ap-282	162	63	t4	t4	PROPN
ap-282	162	64	,	,	PUNCT
ap-282	162	65	see	see	VERB
ap-282	162	66	figure	figure	NOUN
ap-282	162	67	8	8	NUM
ap-282	162	68	.	.	PUNCT
ap-282	163	1	this	this	DET
ap-282	163	2	part	part	NOUN
ap-282	163	3	is	be	AUX
ap-282	163	4	shown	show	VERB
ap-282	163	5	in	in	ADP
ap-282	163	6	figure	figure	NOUN
ap-282	163	7	11	11	NUM
ap-282	163	8	,	,	PUNCT
ap-282	163	9	but	but	CCONJ
ap-282	163	10	points	point	VERB
ap-282	163	11	t3	t3	PROPN
ap-282	163	12	and	and	CCONJ
ap-282	163	13	t4	t4	PROPN
ap-282	163	14	are	be	AUX
ap-282	163	15	replaced	replace	VERB
ap-282	163	16	by	by	ADP
ap-282	163	17	points	point	NOUN
ap-282	163	18	t1	t1	NOUN
ap-282	163	19	and	and	CCONJ
ap-282	163	20	t2	t2	NOUN
ap-282	163	21	.	.	PUNCT
ap-282	164	1	the	the	DET
ap-282	164	2	function	function	NOUN
ap-282	164	3	shown	show	VERB
ap-282	164	4	in	in	ADP
ap-282	164	5	figure	figure	NOUN
ap-282	164	6	11	11	NUM
ap-282	164	7	can	can	AUX
ap-282	164	8	be	be	AUX
ap-282	164	9	expressed	express	VERB
ap-282	164	10	as	as	ADP
ap-282	164	11	:	:	PUNCT
ap-282	164	12	�	�	PROPN
ap-282	164	13	�	�	PROPN
ap-282	164	14	�	�	PROPN
ap-282	164	15	�	�	PROPN
ap-282	164	16	�	�	PROPN
ap-282	164	17	�	�	PROPN
ap-282	164	18	x	x	PROPN
ap-282	164	19	t	t	PROPN
ap-282	164	20	at	at	ADP
ap-282	164	21	b	b	PROPN
ap-282	164	22	t	t	PROPN
ap-282	164	23	t	t	PROPN
ap-282	164	24	t	t	PROPN
ap-282	164	25	t	t	PROPN
ap-282	164	26	t	t	PROPN
ap-282	164	27	t	t	PROPN
ap-282	164	28	t	t	PROPN
ap-282	164	29	t	t	PROPN
ap-282	164	30	�	�	PROPN
ap-282	164	31	�	�	PROPN
ap-282	164	32	�	�	PROPN
ap-282	164	33	�	�	PROPN
ap-282	164	34	�	�	PROPN
ap-282	164	35	�	�	PROPN
ap-282	164	36	�	�	PROPN
ap-282	164	37	�	�	PROPN
ap-282	164	38	�	�	PROPN
ap-282	164	39	cos	cos	PROPN
ap-282	164	40	,	,	PUNCT
ap-282	164	41	,	,	PUNCT
ap-282	164	42	�	�	PROPN
ap-282	164	43	�	�	PROPN
ap-282	164	44	�	�	PROPN
ap-282	164	45	0	0	NUM
ap-282	164	46	1	1	NUM
ap-282	164	47	2	2	NUM
ap-282	164	48	0	0	NUM
ap-282	164	49	1	1	NUM
ap-282	164	50	2	2	NUM
ap-282	164	51	0	0	NUM
ap-282	164	52	0	0	NUM
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ap-282	164	55	(	(	PUNCT
ap-282	164	56	51	51	NUM
ap-282	164	57	)	)	PUNCT
ap-282	164	58	using	use	VERB
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ap-282	164	61	13	13	NUM
ap-282	164	62	)	)	PUNCT
ap-282	164	63	for	for	ADP
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ap-282	164	65	quadrature	quadrature	NOUN
ap-282	164	66	part	part	NOUN
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ap-282	164	70	of	of	ADP
ap-282	164	71	function	function	NOUN
ap-282	164	72	(	(	PUNCT
ap-282	164	73	52	52	NUM
ap-282	164	74	)	)	PUNCT
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ap-282	164	76	�	�	PROPN
ap-282	164	77	�	�	PROPN
ap-282	164	78	�	�	PROPN
ap-282	164	79	�	�	PROPN
ap-282	164	80	�	�	PROPN
ap-282	164	81	�	�	PROPN
ap-282	164	82	~	~	PUNCT
ap-282	164	83	cos	cos	PROPN
ap-282	164	84	x	x	PROPN
ap-282	164	85	t	t	PROPN
ap-282	164	86	a	a	PRON
ap-282	164	87	b	b	PROPN
ap-282	164	88	t	t	PROPN
ap-282	164	89	t	t	PROPN
ap-282	164	90	t	t	PROPN
ap-282	164	91	�	�	PROPN
ap-282	164	92	�	�	PROPN
ap-282	164	93	�	�	PROPN
ap-282	164	94	�	�	PROPN
ap-282	164	95	�	�	PROPN
ap-282	164	96	1	1	NUM
ap-282	164	97	0	0	NUM
ap-282	164	98	�	�	PROPN
ap-282	164	99	�	�	PROPN
ap-282	164	100	�	�	PROPN
ap-282	164	101	�	�	PROPN
ap-282	164	102	�	�	PROPN
ap-282	164	103	�	�	PROPN
ap-282	164	104	�	�	PROPN
ap-282	164	105	d	d	PROPN
ap-282	164	106	1	1	NUM
ap-282	164	107	2	2	NUM
ap-282	164	108	(	(	PUNCT
ap-282	164	109	52	52	NUM
ap-282	164	110	)	)	PUNCT
ap-282	164	111	�	�	PROPN
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ap-282	164	113	�	�	PROPN
ap-282	164	114	�	�	PROPN
ap-282	164	115	�	�	PROPN
ap-282	164	116	�	�	PROPN
ap-282	164	117	~	~	SYM
ap-282	164	118	cos	cos	PROPN
ap-282	164	119	cos	cos	PROPN
ap-282	164	120	x	x	PROPN
ap-282	164	121	t	t	PROPN
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ap-282	164	123	t	t	PROPN
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ap-282	164	125	t	t	PROPN
ap-282	164	126	t	t	PROPN
ap-282	164	127	t	t	PROPN
ap-282	164	128	t	t	PROPN
ap-282	164	129	t	t	PROPN
ap-282	164	130	�	�	PROPN
ap-282	164	131	�	�	PROPN
ap-282	164	132	�	�	PROPN
ap-282	164	133	�	�	PROPN
ap-282	164	134	�	�	PROPN
ap-282	164	135	�	�	PROPN
ap-282	164	136	�	�	PROPN
ap-282	164	137	�	�	PROPN
ap-282	164	138	�	�	PROPN
ap-282	164	139	1	1	NUM
ap-282	164	140	0	0	NUM
ap-282	164	141	0	0	NUM
ap-282	164	142	�	�	PROPN
ap-282	164	143	�	�	PROPN
ap-282	164	144	�	�	PROPN
ap-282	164	145	�	�	PROPN
ap-282	164	146	�	�	PROPN
ap-282	164	147	�	�	PROPN
ap-282	164	148	�	�	PROPN
ap-282	164	149	�	�	PROPN
ap-282	164	150	�	�	PROPN
ap-282	164	151	�	�	PROPN
ap-282	164	152	�	�	PROPN
ap-282	164	153	�	�	PROPN
ap-282	164	154	�	�	PROPN
ap-282	164	155	d	d	PROPN
ap-282	164	156	d	d	NOUN
ap-282	164	157	1	1	NUM
ap-282	164	158	2	2	NUM
ap-282	164	159	1	1	NUM
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ap-282	164	161	�	�	PROPN
ap-282	164	162	�	�	PROPN
ap-282	164	163	�	�	PROPN
ap-282	164	164	�	�	PROPN
ap-282	164	165	�	�	PROPN
ap-282	164	166	�	�	PROPN
ap-282	164	167	�	�	PROPN
ap-282	164	168	(	(	PUNCT
ap-282	164	169	53	53	NUM
ap-282	164	170	)	)	PUNCT
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ap-282	164	172	z	z	PROPN
ap-282	164	173	t	t	PROPN
ap-282	164	174	z	z	PROPN
ap-282	164	175	z	z	PROPN
ap-282	164	176	t	t	PROPN
ap-282	165	1	t	t	PROPN
ap-282	165	2	z	z	PROPN
ap-282	165	3	t	t	PROPN
ap-282	165	4	t	t	PROPN
ap-282	165	5	�	�	PROPN
ap-282	165	6	�	�	PROPN
ap-282	165	7	�	�	PROPN
ap-282	165	8	�	�	PROPN
ap-282	165	9	�	�	PROPN
ap-282	165	10	�	�	PROPN
ap-282	165	11	�	�	PROPN
ap-282	165	12	�	�	PROPN
ap-282	165	13	�	�	PROPN
ap-282	165	14	d	d	PROPN
ap-282	165	15	d	d	NOUN
ap-282	165	16	1	1	NUM
ap-282	165	17	1	1	NUM
ap-282	165	18	2	2	NUM
ap-282	165	19	2	2	NUM
ap-282	165	20	(	(	PUNCT
ap-282	165	21	54	54	NUM
ap-282	165	22	)	)	PUNCT
ap-282	165	23	30	30	NUM
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ap-282	165	25	polytechnica	polytechnica	PROPN
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ap-282	166	1	41	41	NUM
ap-282	167	1	no	no	NOUN
ap-282	167	2	.	.	PUNCT
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ap-282	168	2	b	b	NOUN
ap-282	168	3	x(t	x(t	PROPN
ap-282	168	4	)	)	PUNCT
ap-282	168	5	fig	fig	NOUN
ap-282	168	6	.	.	PUNCT
ap-282	169	1	11	11	NUM
ap-282	169	2	:	:	PUNCT
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ap-282	169	4	rising	rise	VERB
ap-282	169	5	part	part	NOUN
ap-282	169	6	of	of	ADP
ap-282	169	7	a	a	DET
ap-282	169	8	harmonic	harmonic	ADJ
ap-282	169	9	signal	signal	NOUN
ap-282	169	10	we	we	PRON
ap-282	169	11	can	can	AUX
ap-282	169	12	write	write	VERB
ap-282	169	13	equation	equation	NOUN
ap-282	169	14	(	(	PUNCT
ap-282	169	15	53	53	NUM
ap-282	169	16	)	)	PUNCT
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ap-282	169	18	equation	equation	NOUN
ap-282	169	19	(	(	PUNCT
ap-282	169	20	57	57	NUM
ap-282	169	21	)	)	PUNCT
ap-282	169	22	�	�	PROPN
ap-282	169	23	�	�	PROPN
ap-282	169	24	�	�	PROPN
ap-282	169	25	�	�	PROPN
ap-282	169	26	�	�	PROPN
ap-282	169	27	�	�	PROPN
ap-282	169	28	�	�	PROPN
ap-282	169	29	�	�	PROPN
ap-282	169	30	�	�	PROPN
ap-282	169	31	�	�	PROPN
ap-282	169	32	�	�	PROPN
ap-282	169	33	�	�	PROPN
ap-282	169	34	~	~	SYM
ap-282	169	35	cos	cos	PROPN
ap-282	169	36	cos	cos	PROPN
ap-282	169	37	x	x	PROPN
ap-282	169	38	t	t	PROPN
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ap-282	169	41	t	t	PROPN
ap-282	169	42	z	z	PROPN
ap-282	169	43	t	t	PROPN
ap-282	169	44	z	z	PROPN
ap-282	169	45	z	z	PROPN
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ap-282	169	49	z	z	NOUN
ap-282	169	50	z	z	NOUN
ap-282	169	51	z	z	NOUN
ap-282	169	52	z	z	NOUN
ap-282	169	53	z	z	NOUN
ap-282	169	54	z	z	NOUN
ap-282	169	55	�	�	PROPN
ap-282	169	56	�	�	PROPN
ap-282	169	57	�	�	PROPN
ap-282	169	58	�	�	PROPN
ap-282	169	59	�	�	PROPN
ap-282	169	60	�	�	PROPN
ap-282	169	61	�	�	PROPN
ap-282	169	62	!	!	PUNCT
ap-282	170	1	1	1	NUM
ap-282	170	2	0	0	NUM
ap-282	170	3	0	0	NUM
ap-282	170	4	�	�	PROPN
ap-282	170	5	�	�	PROPN
ap-282	170	6	�	�	PROPN
ap-282	170	7	�	�	PROPN
ap-282	170	8	�	�	PROPN
ap-282	170	9	�	�	PROPN
ap-282	170	10	d	d	PROPN
ap-282	170	11	d	d	PROPN
ap-282	170	12	1	1	NUM
ap-282	170	13	2	2	NUM
ap-282	170	14	1	1	NUM
ap-282	170	15	2	2	NUM
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ap-282	170	25	(	(	PUNCT
ap-282	170	26	55	55	NUM
ap-282	170	27	)	)	PUNCT
ap-282	170	28	�	�	PROPN
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ap-282	170	30	�	�	PROPN
ap-282	170	31	�	�	PROPN
ap-282	170	32	�	�	PROPN
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ap-282	170	35	�	�	PROPN
ap-282	170	36	�	�	PROPN
ap-282	170	37	�	�	PROPN
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ap-282	170	40	cos	cos	PROPN
ap-282	170	41	co	co	PROPN
ap-282	170	42	x	x	PROPN
ap-282	170	43	t	t	PROPN
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ap-282	170	46	t	t	PROPN
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ap-282	170	49	z	z	PROPN
ap-282	170	50	t	t	PROPN
ap-282	170	51	z	z	PROPN
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ap-282	170	54	z	z	NOUN
ap-282	170	55	z	z	NOUN
ap-282	170	56	z	z	NOUN
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ap-282	170	62	�	�	PROPN
ap-282	170	63	�	�	PROPN
ap-282	170	64	�	�	PROPN
ap-282	170	65	1	1	NUM
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ap-282	170	68	�	�	PROPN
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ap-282	171	11	2	2	NUM
ap-282	171	12	(	(	PUNCT
ap-282	171	13	56	56	NUM
ap-282	171	14	)	)	PUNCT
ap-282	171	15	�	�	PROPN
ap-282	171	16	�	�	PROPN
ap-282	171	17	�	�	PROPN
ap-282	171	18	�	�	PROPN
ap-282	171	19	�	�	PROPN
ap-282	171	20	�	�	PROPN
ap-282	171	21	�	�	PROPN
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ap-282	171	23	�	�	PROPN
ap-282	171	24	�	�	PROPN
ap-282	171	25	�	�	PROPN
ap-282	171	26	�	�	PROPN
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ap-282	171	34	t	t	PROPN
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ap-282	171	42	z	z	NOUN
ap-282	171	43	z	z	NOUN
ap-282	171	44	z	z	NOUN
ap-282	171	45	z	z	NOUN
ap-282	171	46	�	�	PROPN
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ap-282	171	48	�	�	PROPN
ap-282	171	49	�	�	PROPN
ap-282	171	50	�	�	PROPN
ap-282	171	51	�	�	PROPN
ap-282	171	52	�	�	PROPN
ap-282	171	53	�	�	PROPN
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ap-282	171	55	"	"	PUNCT
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ap-282	172	2	0	0	NUM
ap-282	172	3	0	0	NUM
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ap-282	172	10	d	d	PROPN
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ap-282	172	14	2	2	NUM
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ap-282	172	23	(	(	PUNCT
ap-282	172	24	57	57	NUM
ap-282	172	25	)	)	PUNCT
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ap-282	172	27	us	we	PRON
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ap-282	172	29	a	a	DET
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ap-282	172	36	(	(	PUNCT
ap-282	172	37	58	58	NUM
ap-282	172	38	)	)	PUNCT
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ap-282	172	41	(	(	PUNCT
ap-282	172	42	57	57	NUM
ap-282	172	43	)	)	PUNCT
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ap-282	172	46	�	�	PROPN
ap-282	172	47	�	�	PROPN
ap-282	172	48	�	�	PROPN
ap-282	172	49	�	�	PROPN
ap-282	172	50	�	�	PROPN
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ap-282	172	52	t	t	X
ap-282	173	1	i	i	PRON
ap-282	174	1	t	t	X
ap-282	175	1	i	i	PRON
ap-282	175	2	t	t	PROPN
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ap-282	175	4	�	�	PROPN
ap-282	175	5	�	�	PROPN
ap-282	175	6	1	1	NUM
ap-282	175	7	1	1	NUM
ap-282	175	8	2	2	NUM
ap-282	175	9	�	�	PROPN
ap-282	175	10	(	(	PUNCT
ap-282	175	11	58	58	NUM
ap-282	175	12	)	)	PUNCT
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ap-282	175	14	there	there	PRON
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ap-282	175	16	�	�	PROPN
ap-282	175	17	�	�	PROPN
ap-282	175	18	�	�	PROPN
ap-282	175	19	�	�	PROPN
ap-282	175	20	�	�	PROPN
ap-282	175	21	�	�	PROPN
ap-282	175	22	i	i	PRON
ap-282	175	23	t	t	VERB
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ap-282	175	26	t	t	NOUN
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ap-282	176	2	1	1	NUM
ap-282	176	3	0	0	NUM
ap-282	176	4	1	1	NUM
ap-282	176	5	2	2	NUM
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ap-282	176	13	(	(	PUNCT
ap-282	176	14	59	59	NUM
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ap-282	176	17	us	we	PRON
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ap-282	176	21	(	(	PUNCT
ap-282	176	22	62	62	NUM
ap-282	176	23	)	)	PUNCT
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ap-282	176	25	(	(	PUNCT
ap-282	176	26	63	63	NUM
ap-282	176	27	)	)	PUNCT
ap-282	176	28	,	,	PUNCT
ap-282	176	29	(	(	PUNCT
ap-282	176	30	64	64	NUM
ap-282	176	31	)	)	PUNCT
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ap-282	176	34	65	65	NUM
ap-282	176	35	)	)	PUNCT
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ap-282	177	3	(	(	PUNCT
ap-282	177	4	62	62	NUM
ap-282	177	5	)	)	PUNCT
ap-282	177	6	,	,	PUNCT
ap-282	177	7	(	(	PUNCT
ap-282	177	8	63	63	NUM
ap-282	177	9	)	)	PUNCT
ap-282	177	10	and	and	CCONJ
ap-282	177	11	for	for	ADP
ap-282	177	12	t	t	PROPN
ap-282	177	13	t	t	PROPN
ap-282	177	14	t	t	PROPN
ap-282	177	15	�	�	PROPN
ap-282	177	16	�	�	PROPN
ap-282	177	17	1	1	NUM
ap-282	177	18	2	2	NUM
ap-282	177	19	it	it	PRON
ap-282	177	20	holds	hold	VERB
ap-282	177	21	:	:	PUNCT
ap-282	177	22	�	�	PROPN
ap-282	177	23	�	�	PROPN
ap-282	177	24	�	�	PROPN
ap-282	177	25	�	�	PROPN
ap-282	177	26	�	�	PROPN
ap-282	177	27	�	�	PROPN
ap-282	177	28	�	�	PROPN
ap-282	177	29	y	y	PROPN
ap-282	177	30	t	t	PROPN
ap-282	177	31	t	t	PROPN
ap-282	177	32	t	t	PROPN
ap-282	177	33	a	a	DET
ap-282	177	34	b	b	NOUN
ap-282	178	1	i	i	PRON
ap-282	178	2	t	t	NOUN
ap-282	178	3	t	t	PROPN
ap-282	178	4	t	t	PROPN
ap-282	178	5	a	a	PRON
ap-282	179	1	i	i	NOUN
ap-282	179	2	t	t	PROPN
ap-282	179	3	t	t	PROPN
ap-282	179	4	t	t	PROPN
ap-282	179	5	a	a	DET
ap-282	179	6	ba4	ba4	PROPN
ap-282	179	7	1	1	NUM
ap-282	179	8	2	2	NUM
ap-282	179	9	1	1	NUM
ap-282	179	10	1	1	NUM
ap-282	179	11	2	2	NUM
ap-282	179	12	2	2	NUM
ap-282	179	13	1	1	NUM
ap-282	179	14	2	2	NUM
ap-282	179	15	1	1	NUM
ap-282	179	16	,	,	PUNCT
ap-282	179	17	,	,	PUNCT
ap-282	179	18	,	,	PUNCT
ap-282	179	19	,	,	PUNCT
ap-282	179	20	,	,	PUNCT
ap-282	179	21	,	,	PUNCT
ap-282	179	22	,	,	PUNCT
ap-282	179	23	,	,	PUNCT
ap-282	179	24	,	,	PUNCT
ap-282	179	25	,	,	PUNCT
ap-282	179	26	,	,	PUNCT
ap-282	179	27	�	�	PROPN
ap-282	179	28	�	�	PROPN
ap-282	179	29	�	�	PROPN
ap-282	179	30	�	�	PROPN
ap-282	179	31	(	(	PUNCT
ap-282	179	32	66	66	NUM
ap-282	179	33	)	)	PUNCT
ap-282	179	34	for	for	ADP
ap-282	179	35	equation	equation	NOUN
ap-282	179	36	(	(	PUNCT
ap-282	179	37	62	62	NUM
ap-282	179	38	)	)	PUNCT
ap-282	179	39	,	,	PUNCT
ap-282	179	40	(	(	PUNCT
ap-282	179	41	64	64	NUM
ap-282	179	42	)	)	PUNCT
ap-282	179	43	and	and	CCONJ
ap-282	179	44	for	for	ADP
ap-282	179	45	t	t	PROPN
ap-282	179	46	t	t	PROPN
ap-282	179	47	t1	t1	NOUN
ap-282	179	48	2	2	NUM
ap-282	179	49	�	�	PROPN
ap-282	179	50	�	�	PROPN
ap-282	179	51	it	it	PRON
ap-282	179	52	holds	hold	VERB
ap-282	179	53	�	�	PROPN
ap-282	179	54	�	�	PROPN
ap-282	179	55	�	�	PROPN
ap-282	179	56	�	�	PROPN
ap-282	179	57	�	�	PROPN
ap-282	179	58	�	�	PROPN
ap-282	179	59	�	�	PROPN
ap-282	179	60	y	y	PROPN
ap-282	179	61	t	t	PROPN
ap-282	179	62	t	t	PROPN
ap-282	179	63	t	t	PROPN
ap-282	179	64	a	a	DET
ap-282	179	65	b	b	NOUN
ap-282	180	1	i	i	PRON
ap-282	180	2	t	t	NOUN
ap-282	180	3	t	t	PROPN
ap-282	180	4	t	t	PROPN
ap-282	180	5	a	a	PRON
ap-282	181	1	i	i	NOUN
ap-282	181	2	t	t	PROPN
ap-282	181	3	t	t	PROPN
ap-282	181	4	t	t	PROPN
ap-282	181	5	a	a	DET
ap-282	181	6	bb5	bb5	NOUN
ap-282	181	7	1	1	NUM
ap-282	181	8	2	2	NUM
ap-282	181	9	1	1	NUM
ap-282	181	10	1	1	NUM
ap-282	181	11	2	2	NUM
ap-282	181	12	2	2	NUM
ap-282	181	13	1	1	NUM
ap-282	181	14	2	2	NUM
ap-282	181	15	1	1	NUM
ap-282	181	16	,	,	PUNCT
ap-282	181	17	,	,	PUNCT
ap-282	181	18	,	,	PUNCT
ap-282	181	19	,	,	PUNCT
ap-282	181	20	,	,	PUNCT
ap-282	181	21	,	,	PUNCT
ap-282	181	22	,	,	PUNCT
ap-282	181	23	,	,	PUNCT
ap-282	181	24	,	,	PUNCT
ap-282	181	25	,	,	PUNCT
ap-282	181	26	,	,	PUNCT
ap-282	181	27	�	�	PROPN
ap-282	181	28	�	�	PROPN
ap-282	181	29	�	�	PROPN
ap-282	181	30	�	�	PROPN
ap-282	181	31	(	(	PUNCT
ap-282	181	32	67	67	NUM
ap-282	181	33	)	)	PUNCT
ap-282	181	34	for	for	ADP
ap-282	181	35	equation	equation	NOUN
ap-282	181	36	(	(	PUNCT
ap-282	181	37	62	62	NUM
ap-282	181	38	)	)	PUNCT
ap-282	181	39	,	,	PUNCT
ap-282	181	40	(	(	PUNCT
ap-282	181	41	65	65	NUM
ap-282	181	42	)	)	PUNCT
ap-282	181	43	and	and	CCONJ
ap-282	181	44	for	for	ADP
ap-282	181	45	t	t	PROPN
ap-282	181	46	t	t	PROPN
ap-282	181	47	t1	t1	NOUN
ap-282	181	48	2	2	NUM
ap-282	181	49	�	�	PROPN
ap-282	181	50	�	�	PROPN
ap-282	181	51	�	�	PROPN
ap-282	181	52	�	�	PROPN
ap-282	181	53	�	�	PROPN
ap-282	181	54	�	�	PROPN
ap-282	181	55	�	�	PROPN
ap-282	181	56	�	�	PROPN
ap-282	181	57	�	�	PROPN
ap-282	181	58	y	y	PROPN
ap-282	181	59	t	t	PROPN
ap-282	181	60	t	t	PROPN
ap-282	181	61	t	t	PROPN
ap-282	182	1	a	a	DET
ap-282	182	2	b	b	NOUN
ap-282	183	1	i	i	PRON
ap-282	183	2	t	t	NOUN
ap-282	183	3	t	t	PROPN
ap-282	183	4	t	t	PROPN
ap-282	183	5	a	a	PRON
ap-282	184	1	i	i	NOUN
ap-282	184	2	t	t	PROPN
ap-282	184	3	t	t	X
ap-282	184	4	t	t	PROPN
ap-282	184	5	a	a	DET
ap-282	184	6	bc6	bc6	NOUN
ap-282	184	7	1	1	NUM
ap-282	184	8	2	2	NUM
ap-282	184	9	1	1	NUM
ap-282	184	10	1	1	NUM
ap-282	184	11	2	2	NUM
ap-282	184	12	2	2	NUM
ap-282	184	13	1	1	NUM
ap-282	184	14	2	2	NUM
ap-282	184	15	1	1	NUM
ap-282	184	16	,	,	PUNCT
ap-282	184	17	,	,	PUNCT
ap-282	184	18	,	,	PUNCT
ap-282	184	19	,	,	PUNCT
ap-282	184	20	,	,	PUNCT
ap-282	184	21	,	,	PUNCT
ap-282	184	22	,	,	PUNCT
ap-282	184	23	,	,	PUNCT
ap-282	184	24	,	,	PUNCT
ap-282	184	25	,	,	PUNCT
ap-282	184	26	,	,	PUNCT
ap-282	184	27	�	�	PROPN
ap-282	184	28	�	�	PROPN
ap-282	184	29	�	�	PROPN
ap-282	184	30	�	�	PROPN
ap-282	184	31	(	(	PUNCT
ap-282	184	32	68	68	NUM
ap-282	184	33	)	)	PUNCT
ap-282	184	34	3.3.4	3.3.4	NUM
ap-282	184	35	total	total	ADJ
ap-282	184	36	analytical	analytical	ADJ
ap-282	184	37	calculation	calculation	NOUN
ap-282	184	38	of	of	ADP
ap-282	184	39	the	the	DET
ap-282	184	40	quadrature	quadrature	NOUN
ap-282	184	41	part	part	NOUN
ap-282	184	42	of	of	ADP
ap-282	184	43	a	a	DET
ap-282	184	44	harmonic	harmonic	ADJ
ap-282	184	45	signal	signal	NOUN
ap-282	184	46	modulated	modulate	VERB
ap-282	184	47	by	by	ADP
ap-282	184	48	trapezoidal	trapezoidal	ADJ
ap-282	184	49	pulse	pulse	NOUN
ap-282	184	50	as	as	SCONJ
ap-282	184	51	was	be	AUX
ap-282	184	52	mentioned	mention	VERB
ap-282	184	53	above	above	ADV
ap-282	184	54	,	,	PUNCT
ap-282	184	55	it	it	PRON
ap-282	184	56	was	be	AUX
ap-282	184	57	necessary	necessary	ADJ
ap-282	184	58	to	to	PART
ap-282	184	59	make	make	VERB
ap-282	184	60	the	the	DET
ap-282	184	61	calculation	calculation	NOUN
ap-282	184	62	of	of	ADP
ap-282	184	63	the	the	DET
ap-282	184	64	quadrature	quadrature	NOUN
ap-282	184	65	part	part	NOUN
ap-282	184	66	of	of	ADP
ap-282	184	67	a	a	DET
ap-282	184	68	harmonic	harmonic	ADJ
ap-282	184	69	signal	signal	NOUN
ap-282	184	70	modulated	modulate	VERB
ap-282	184	71	by	by	ADP
ap-282	184	72	a	a	DET
ap-282	184	73	trapezoidal	trapezoidal	ADJ
ap-282	184	74	pulse	pulse	NOUN
ap-282	184	75	in	in	ADP
ap-282	184	76	separate	separate	ADJ
ap-282	184	77	parts	part	NOUN
ap-282	184	78	,	,	PUNCT
ap-282	184	79	due	due	ADP
ap-282	184	80	to	to	ADP
ap-282	184	81	the	the	DET
ap-282	184	82	complexity	complexity	NOUN
ap-282	184	83	of	of	ADP
ap-282	184	84	the	the	DET
ap-282	184	85	analytical	analytical	ADJ
ap-282	184	86	calculation	calculation	NOUN
ap-282	184	87	.	.	PUNCT
ap-282	185	1	now	now	ADV
ap-282	185	2	we	we	PRON
ap-282	185	3	will	will	AUX
ap-282	185	4	make	make	VERB
ap-282	185	5	a	a	DET
ap-282	185	6	summary	summary	NOUN
ap-282	185	7	of	of	ADP
ap-282	185	8	all	all	DET
ap-282	185	9	the	the	DET
ap-282	185	10	parts	part	NOUN
ap-282	185	11	,	,	PUNCT
ap-282	185	12	see	see	VERB
ap-282	185	13	figure	figure	NOUN
ap-282	185	14	8	8	NUM
ap-282	185	15	.	.	PUNCT
ap-282	186	1	we	we	PRON
ap-282	186	2	obtain	obtain	VERB
ap-282	186	3	the	the	DET
ap-282	186	4	entire	entire	ADJ
ap-282	186	5	quadrature	quadrature	NOUN
ap-282	186	6	signal	signal	NOUN
ap-282	186	7	�	�	PROPN
ap-282	186	8	�	�	PROPN
ap-282	186	9	~x	~x	PROPN
ap-282	186	10	t	t	NOUN
ap-282	186	11	by	by	ADP
ap-282	186	12	the	the	DET
ap-282	186	13	sum	sum	NOUN
ap-282	186	14	of	of	ADP
ap-282	186	15	all	all	DET
ap-282	186	16	parts	part	NOUN
ap-282	186	17	with	with	ADP
ap-282	186	18	respect	respect	NOUN
ap-282	186	19	to	to	ADP
ap-282	186	20	important	important	ADJ
ap-282	186	21	parameters	parameter	NOUN
ap-282	186	22	in	in	ADP
ap-282	186	23	the	the	DET
ap-282	186	24	individual	individual	ADJ
ap-282	186	25	part	part	NOUN
ap-282	186	26	.	.	PUNCT
ap-282	187	1	©	©	PROPN
ap-282	187	2	czech	czech	PROPN
ap-282	187	3	technical	technical	PROPN
ap-282	187	4	university	university	PROPN
ap-282	187	5	publishing	publishing	NOUN
ap-282	187	6	house	house	NOUN
ap-282	187	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-282	187	8	31	31	NUM
ap-282	187	9	acta	acta	PROPN
ap-282	187	10	polytechnica	polytechnica	PROPN
ap-282	187	11	vol	vol	NOUN
ap-282	187	12	.	.	PUNCT
ap-282	188	1	41	41	NUM
ap-282	188	2	no	no	NOUN
ap-282	188	3	.	.	PUNCT
ap-282	189	1	6/2001	6/2001	NUM
ap-282	189	2	�	�	PROPN
ap-282	189	3	�	�	PROPN
ap-282	189	4	�	�	PROPN
ap-282	189	5	�	�	PROPN
ap-282	189	6	�	�	PROPN
ap-282	189	7	�	�	PROPN
ap-282	189	8	�	�	PROPN
ap-282	189	9	�	�	PROPN
ap-282	189	10	i	i	PRON
ap-282	189	11	t	t	VERB
ap-282	189	12	at	at	ADP
ap-282	189	13	b	b	PROPN
ap-282	189	14	z	z	PROPN
ap-282	189	15	t	t	PROPN
ap-282	189	16	z	z	NOUN
ap-282	189	17	z	z	NOUN
ap-282	189	18	z	z	NOUN
ap-282	189	19	z	z	NOUN
ap-282	189	20	2	2	NUM
ap-282	189	21	0	0	NUM
ap-282	189	22	�	�	PROPN
ap-282	189	23	�	�	PROPN
ap-282	189	24	�	�	PROPN
ap-282	189	25	�	�	PROPN
ap-282	189	26	cos	cos	PROPN
ap-282	189	27	�	�	PROPN
ap-282	189	28	�	�	PROPN
ap-282	189	29	d	d	PROPN
ap-282	189	30	1	1	NUM
ap-282	189	31	2	2	NUM
ap-282	189	32	(	(	PUNCT
ap-282	189	33	60	60	NUM
ap-282	189	34	)	)	PUNCT
ap-282	189	35	for	for	ADP
ap-282	189	36	calculation	calculation	NOUN
ap-282	189	37	of	of	ADP
ap-282	189	38	�	�	PROPN
ap-282	189	39	�	�	PROPN
ap-282	189	40	i	i	PRON
ap-282	189	41	t1	t1	VERB
ap-282	189	42	it	it	PRON
ap-282	189	43	holds	hold	VERB
ap-282	189	44	:	:	PUNCT
ap-282	189	45	�	�	PROPN
ap-282	189	46	�	�	PROPN
ap-282	189	47	�	�	PROPN
ap-282	189	48	�	�	PROPN
ap-282	189	49	�	�	PROPN
ap-282	189	50	�	�	PROPN
ap-282	189	51	�	�	PROPN
ap-282	189	52	�	�	PROPN
ap-282	189	53	�	�	PROPN
ap-282	189	54	�	�	PROPN
ap-282	189	55	�	�	PROPN
ap-282	190	1	i	i	PRON
ap-282	190	2	t	t	VERB
ap-282	190	3	a	a	DET
ap-282	190	4	z	z	NOUN
ap-282	190	5	t	t	PROPN
ap-282	190	6	z	z	PROPN
ap-282	190	7	t1	t1	PROPN
ap-282	190	8	0	0	NUM
ap-282	190	9	0	0	NUM
ap-282	190	10	2	2	NUM
ap-282	190	11	0	0	NUM
ap-282	190	12	1	1	NUM
ap-282	190	13	�	�	PROPN
ap-282	190	14	�	�	PROPN
ap-282	190	15	�	�	PROPN
ap-282	190	16	�	�	PROPN
ap-282	190	17	�	�	PROPN
ap-282	190	18	�	�	PROPN
ap-282	190	19	�	�	PROPN
ap-282	190	20	�	�	PROPN
ap-282	190	21	�	�	PROPN
ap-282	190	22	�	�	PROPN
ap-282	190	23	�	�	PROPN
ap-282	190	24	sin	sin	NOUN
ap-282	190	25	sin	sin	NOUN
ap-282	190	26	(	(	PUNCT
ap-282	190	27	61	61	NUM
ap-282	190	28	)	)	PUNCT
ap-282	190	29	by	by	ADP
ap-282	190	30	using	use	VERB
ap-282	190	31	inverse	inverse	NOUN
ap-282	190	32	substitution	substitution	NOUN
ap-282	190	33	(	(	PUNCT
ap-282	190	34	54	54	NUM
ap-282	190	35	)	)	PUNCT
ap-282	190	36	we	we	PRON
ap-282	190	37	have	have	VERB
ap-282	190	38	�	�	PROPN
ap-282	190	39	�	�	PROPN
ap-282	190	40	�	�	PROPN
ap-282	190	41	�	�	PROPN
ap-282	190	42	�	�	PROPN
ap-282	190	43	�	�	PROPN
ap-282	190	44	�	�	PROPN
ap-282	191	1	i	i	PRON
ap-282	191	2	t	t	VERB
ap-282	191	3	a	a	DET
ap-282	191	4	t	t	NOUN
ap-282	191	5	t1	t1	NOUN
ap-282	191	6	0	0	NUM
ap-282	191	7	0	0	NUM
ap-282	191	8	2	2	NUM
ap-282	191	9	0	0	NUM
ap-282	191	10	1	1	NUM
ap-282	191	11	�	�	PROPN
ap-282	191	12	�	�	PROPN
ap-282	191	13	�	�	PROPN
ap-282	191	14	�	�	PROPN
ap-282	191	15	�	�	PROPN
ap-282	191	16	�	�	PROPN
ap-282	191	17	�	�	PROPN
ap-282	191	18	�	�	PROPN
ap-282	191	19	�	�	PROPN
ap-282	191	20	sin	sin	NOUN
ap-282	191	21	sin	sin	NOUN
ap-282	191	22	(	(	PUNCT
ap-282	191	23	62	62	NUM
ap-282	191	24	)	)	PUNCT
ap-282	191	25	the	the	DET
ap-282	191	26	result	result	NOUN
ap-282	191	27	of	of	ADP
ap-282	191	28	equations	equation	NOUN
ap-282	191	29	(	(	PUNCT
ap-282	191	30	30	30	NUM
ap-282	191	31	)	)	PUNCT
ap-282	191	32	,	,	PUNCT
ap-282	191	33	(	(	PUNCT
ap-282	191	34	36	36	NUM
ap-282	191	35	)	)	PUNCT
ap-282	191	36	and	and	CCONJ
ap-282	191	37	(	(	PUNCT
ap-282	191	38	40	40	NUM
ap-282	191	39	)	)	PUNCT
ap-282	191	40	will	will	AUX
ap-282	191	41	be	be	AUX
ap-282	191	42	used	use	VERB
ap-282	191	43	for	for	ADP
ap-282	191	44	calculating	calculate	VERB
ap-282	191	45	of	of	ADP
ap-282	191	46	�	�	PROPN
ap-282	191	47	�	�	PROPN
ap-282	191	48	i	i	PROPN
ap-282	191	49	t2	t2	PROPN
ap-282	191	50	.	.	PUNCT
ap-282	192	1	�	�	PROPN
ap-282	192	2	for	for	ADP
ap-282	192	3	t	t	PROPN
ap-282	192	4	t	t	PROPN
ap-282	192	5	t	t	PROPN
ap-282	192	6	�	�	PROPN
ap-282	192	7	�	�	PROPN
ap-282	192	8	1	1	NUM
ap-282	192	9	2	2	NUM
ap-282	192	10	�	�	PROPN
ap-282	192	11	�	�	PROPN
ap-282	192	12	�	�	PROPN
ap-282	192	13	�	�	PROPN
ap-282	192	14	�	�	PROPN
ap-282	192	15	�	�	PROPN
ap-282	192	16	�	�	PROPN
ap-282	192	17	�	�	PROPN
ap-282	192	18	�	�	PROPN
ap-282	192	19	�	�	PROPN
ap-282	192	20	�	�	PROPN
ap-282	192	21	�	�	PROPN
ap-282	192	22	�	�	PROPN
ap-282	192	23	�	�	PROPN
ap-282	192	24	�	�	PROPN
ap-282	192	25	�	�	PROPN
ap-282	192	26	�	�	PROPN
ap-282	192	27	i	i	PRON
ap-282	192	28	t	t	VERB
ap-282	192	29	at	at	ADP
ap-282	192	30	b	b	PROPN
ap-282	192	31	t	t	PROPN
ap-282	192	32	ci	ci	PROPN
ap-282	192	33	t	t	PROPN
ap-282	192	34	t	t	PROPN
ap-282	192	35	ci	ci	PROPN
ap-282	193	1	t	t	PROPN
ap-282	193	2	t	t	PROPN
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ap-282	206	165	�	�	PROPN
ap-282	206	166	�	�	PROPN
ap-282	206	167	y	y	PROPN
ap-282	206	168	t	t	PROPN
ap-282	206	169	t	t	PROPN
ap-282	206	170	t	t	PROPN
ap-282	206	171	y	y	PROPN
ap-282	206	172	t	t	PROPN
ap-282	206	173	t	t	PROPN
ap-282	206	174	t	t	PROPN
ap-282	206	175	e	e	PROPN
ap-282	206	176	g	g	PROPN
ap-282	206	177	t	t	PROPN
ap-282	206	178	t	t	PROPN
ap-282	206	179	gt	gt	INTJ
ap-282	206	180	et	et	PROPN
ap-282	206	181	t	t	PROPN
ap-282	206	182	t3	t3	PROPN
ap-282	206	183	4	4	NUM
ap-282	206	184	5	5	NUM
ap-282	206	185	6	6	NUM
ap-282	206	186	5	5	NUM
ap-282	206	187	6	6	NUM
ap-282	206	188	6	6	NUM
ap-282	206	189	5	5	NUM
ap-282	206	190	6	6	NUM
ap-282	206	191	5	5	NUM
ap-282	206	192	6	6	NUM
ap-282	206	193	5	5	NUM
ap-282	206	194	,	,	PUNCT
ap-282	206	195	,	,	PUNCT
ap-282	206	196	,	,	PUNCT
ap-282	206	197	,	,	PUNCT
ap-282	206	198	,	,	PUNCT
ap-282	206	199	,	,	PUNCT
ap-282	206	200	�	�	PROPN
ap-282	206	201	�	�	PROPN
ap-282	206	202	y	y	PROPN
ap-282	206	203	t	t	PROPN
ap-282	206	204	t	t	PROPN
ap-282	206	205	t3	t3	PROPN
ap-282	206	206	6	6	NUM
ap-282	206	207	8	8	NUM
ap-282	206	208	,	,	PUNCT
ap-282	206	209	,	,	PUNCT
ap-282	206	210	(	(	PUNCT
ap-282	206	211	75	75	NUM
ap-282	206	212	)	)	PUNCT
ap-282	206	213	the	the	DET
ap-282	206	214	entire	entire	ADJ
ap-282	206	215	equation	equation	NOUN
ap-282	206	216	for	for	ADP
ap-282	206	217	the	the	DET
ap-282	206	218	quadrature	quadrature	NOUN
ap-282	206	219	part	part	NOUN
ap-282	206	220	is	be	AUX
ap-282	206	221	done	do	VERB
ap-282	206	222	by	by	ADP
ap-282	206	223	the	the	DET
ap-282	206	224	sum	sum	NOUN
ap-282	206	225	of	of	ADP
ap-282	206	226	equations	equation	NOUN
ap-282	206	227	(	(	PUNCT
ap-282	206	228	69)–(75	69)–(75	NUM
ap-282	206	229	):	):	PUNCT
ap-282	206	230	�	�	PROPN
ap-282	206	231	�	�	PROPN
ap-282	206	232	�	�	PROPN
ap-282	206	233	�	�	PROPN
ap-282	206	234	�	�	PROPN
ap-282	206	235	�	�	PROPN
ap-282	206	236	�	�	PROPN
ap-282	206	237	�	�	PROPN
ap-282	206	238	�	�	PROPN
ap-282	206	239	�	�	PROPN
ap-282	206	240	�	�	PROPN
ap-282	206	241	�	�	PROPN
ap-282	206	242	�	�	PROPN
ap-282	206	243	�	�	PROPN
ap-282	206	244	�	�	PROPN
ap-282	206	245	�	�	PROPN
ap-282	206	246	~x	~x	PROPN
ap-282	206	247	t	t	PROPN
ap-282	206	248	z	z	PROPN
ap-282	206	249	t	t	PROPN
ap-282	206	250	z	z	PROPN
ap-282	206	251	t	t	PROPN
ap-282	206	252	z	z	PROPN
ap-282	206	253	t	t	PROPN
ap-282	206	254	z	z	PROPN
ap-282	206	255	t	t	PROPN
ap-282	206	256	z	z	PROPN
ap-282	206	257	t	t	PROPN
ap-282	206	258	z	z	PROPN
ap-282	206	259	t	t	PROPN
ap-282	206	260	z	z	PROPN
ap-282	206	261	t	t	PROPN
ap-282	206	262	�	�	PROPN
ap-282	206	263	�	�	PROPN
ap-282	206	264	�	�	PROPN
ap-282	206	265	�	�	PROPN
ap-282	206	266	�	�	PROPN
ap-282	206	267	�	�	PROPN
ap-282	206	268	�	�	PROPN
ap-282	206	269	1	1	NUM
ap-282	206	270	2	2	NUM
ap-282	206	271	3	3	NUM
ap-282	206	272	4	4	NUM
ap-282	206	273	5	5	NUM
ap-282	206	274	6	6	NUM
ap-282	206	275	7	7	NUM
ap-282	206	276	(	(	PUNCT
ap-282	206	277	76	76	NUM
ap-282	206	278	)	)	PUNCT
ap-282	206	279	the	the	DET
ap-282	206	280	quadrature	quadrature	NOUN
ap-282	206	281	part	part	NOUN
ap-282	206	282	�	�	PROPN
ap-282	206	283	�	�	PROPN
ap-282	206	284	~x	~x	PROPN
ap-282	206	285	t	t	NOUN
ap-282	206	286	calculated	calculate	VERB
ap-282	206	287	by	by	ADP
ap-282	206	288	(	(	PUNCT
ap-282	206	289	76	76	NUM
ap-282	206	290	)	)	PUNCT
ap-282	206	291	and	and	CCONJ
ap-282	206	292	the	the	DET
ap-282	206	293	envelope	envelope	NOUN
ap-282	206	294	�	�	PROPN
ap-282	206	295	�	�	PROPN
ap-282	206	296	�	�	PROPN
ap-282	206	297	�	�	PROPN
ap-282	206	298	�	�	PROPN
ap-282	206	299	�	�	PROPN
ap-282	206	300	e	e	PROPN
ap-282	206	301	t	t	NOUN
ap-282	206	302	x	x	SYM
ap-282	206	303	t	t	PROPN
ap-282	206	304	x	x	SYM
ap-282	206	305	t	t	PROPN
ap-282	206	306	�	�	PROPN
ap-282	206	307	�	�	PROPN
ap-282	206	308	2	2	NUM
ap-282	206	309	2~	2~	PROPN
ap-282	206	310	of	of	ADP
ap-282	206	311	signal	signal	NOUN
ap-282	206	312	x	x	X
ap-282	206	313	(	(	PUNCT
ap-282	206	314	t	t	NOUN
ap-282	206	315	)	)	PUNCT
ap-282	206	316	defined	define	VERB
ap-282	206	317	by	by	ADP
ap-282	206	318	equation	equation	NOUN
ap-282	206	319	(	(	PUNCT
ap-282	206	320	19	19	NUM
ap-282	206	321	)	)	PUNCT
ap-282	206	322	is	be	AUX
ap-282	206	323	shown	show	VERB
ap-282	206	324	in	in	ADP
ap-282	206	325	figure	figure	NOUN
ap-282	206	326	12	12	NUM
ap-282	206	327	.	.	PUNCT
ap-282	207	1	the	the	DET
ap-282	207	2	dependency	dependency	NOUN
ap-282	207	3	of	of	ADP
ap-282	207	4	the	the	DET
ap-282	207	5	overshoot	overshoot	NOUN
ap-282	207	6	size	size	NOUN
ap-282	207	7	(	(	PUNCT
ap-282	207	8	fig	fig	NOUN
ap-282	207	9	.	.	PUNCT
ap-282	207	10	12	12	NUM
ap-282	207	11	)	)	PUNCT
ap-282	207	12	on	on	ADP
ap-282	207	13	the	the	DET
ap-282	207	14	rising	rise	VERB
ap-282	207	15	edge	edge	NOUN
ap-282	207	16	gradient	gradient	NOUN
ap-282	207	17	is	be	AUX
ap-282	207	18	shown	show	VERB
ap-282	207	19	in	in	ADP
ap-282	207	20	figure	figure	NOUN
ap-282	207	21	13	13	NUM
ap-282	207	22	.	.	PUNCT
ap-282	208	1	this	this	DET
ap-282	208	2	gradient	gradient	NOUN
ap-282	208	3	is	be	AUX
ap-282	208	4	defined	define	VERB
ap-282	208	5	by	by	ADP
ap-282	208	6	parameter	parameter	PROPN
ap-282	208	7	s.	s.	PROPN
ap-282	209	1	the	the	DET
ap-282	209	2	dependency	dependency	NOUN
ap-282	209	3	is	be	AUX
ap-282	209	4	determined	determine	VERB
ap-282	209	5	numerically	numerically	ADV
ap-282	209	6	based	base	VERB
ap-282	209	7	on	on	ADP
ap-282	209	8	an	an	DET
ap-282	209	9	analytical	analytical	ADJ
ap-282	209	10	expression	expression	NOUN
ap-282	209	11	of	of	ADP
ap-282	209	12	the	the	DET
ap-282	209	13	quadrature	quadrature	NOUN
ap-282	209	14	part	part	NOUN
ap-282	209	15	(	(	PUNCT
ap-282	209	16	76	76	NUM
ap-282	209	17	)	)	PUNCT
ap-282	209	18	.	.	PUNCT
ap-282	210	1	the	the	DET
ap-282	210	2	dependency	dependency	NOUN
ap-282	210	3	can	can	AUX
ap-282	210	4	not	not	PART
ap-282	210	5	be	be	AUX
ap-282	210	6	determined	determine	VERB
ap-282	210	7	analytically	analytically	ADV
ap-282	210	8	due	due	ADP
ap-282	210	9	to	to	ADP
ap-282	210	10	the	the	DET
ap-282	210	11	complexity	complexity	NOUN
ap-282	210	12	of	of	ADP
ap-282	210	13	equation	equation	NOUN
ap-282	210	14	(	(	PUNCT
ap-282	210	15	76	76	NUM
ap-282	210	16	)	)	PUNCT
ap-282	210	17	.	.	PUNCT
ap-282	211	1	finding	find	VERB
ap-282	211	2	the	the	DET
ap-282	211	3	local	local	ADJ
ap-282	211	4	extreme	extreme	NOUN
ap-282	211	5	by	by	ADP
ap-282	211	6	using	use	VERB
ap-282	211	7	the	the	DET
ap-282	211	8	first	first	ADJ
ap-282	211	9	derivative	derivative	NOUN
ap-282	211	10	and	and	CCONJ
ap-282	211	11	then	then	ADV
ap-282	211	12	getting	get	VERB
ap-282	211	13	the	the	DET
ap-282	211	14	overshoot	overshoot	NOUN
ap-282	211	15	dependency	dependency	NOUN
ap-282	211	16	is	be	AUX
ap-282	211	17	very	very	ADV
ap-282	211	18	difficult	difficult	ADJ
ap-282	211	19	.	.	PUNCT
ap-282	212	1	it	it	PRON
ap-282	212	2	is	be	AUX
ap-282	212	3	evident	evident	ADJ
ap-282	212	4	from	from	ADP
ap-282	212	5	the	the	DET
ap-282	212	6	graph	graph	NOUN
ap-282	212	7	that	that	SCONJ
ap-282	212	8	there	there	PRON
ap-282	212	9	is	be	VERB
ap-282	212	10	an	an	DET
ap-282	212	11	overshoot	overshoot	NOUN
ap-282	212	12	amplitude	amplitude	NOUN
ap-282	212	13	of	of	ADP
ap-282	212	14	50	50	NUM
ap-282	212	15	%	%	NOUN
ap-282	212	16	for	for	ADP
ap-282	212	17	gradient	gradient	NOUN
ap-282	212	18	s	s	PART
ap-282	212	19	=	=	NOUN
ap-282	212	20	89.5	89.5	NUM
ap-282	212	21	°	°	NUM
ap-282	212	22	of	of	ADP
ap-282	212	23	the	the	DET
ap-282	212	24	rising	rise	VERB
ap-282	212	25	edge	edge	NOUN
ap-282	212	26	.	.	PUNCT
ap-282	213	1	it	it	PRON
ap-282	213	2	is	be	AUX
ap-282	213	3	derived	derive	VERB
ap-282	213	4	in	in	ADP
ap-282	213	5	[	[	X
ap-282	213	6	2	2	NUM
ap-282	213	7	]	]	PUNCT
ap-282	213	8	,	,	PUNCT
ap-282	213	9	that	that	SCONJ
ap-282	213	10	the	the	DET
ap-282	213	11	quadrature	quadrature	NOUN
ap-282	213	12	part	part	NOUN
ap-282	213	13	of	of	ADP
ap-282	213	14	a	a	DET
ap-282	213	15	harmonic	harmonic	ADJ
ap-282	213	16	signal	signal	NOUN
ap-282	213	17	modulated	modulate	VERB
ap-282	213	18	by	by	ADP
ap-282	213	19	a	a	DET
ap-282	213	20	square	square	ADJ
ap-282	213	21	pulse	pulse	NOUN
ap-282	213	22	(	(	PUNCT
ap-282	213	23	a	a	DET
ap-282	213	24	trapezoidal	trapezoidal	ADJ
ap-282	213	25	pulse	pulse	NOUN
ap-282	213	26	with	with	ADP
ap-282	213	27	a	a	DET
ap-282	213	28	90	90	NUM
ap-282	213	29	°	°	NUM
ap-282	213	30	gradient	gradient	NOUN
ap-282	213	31	)	)	PUNCT
ap-282	213	32	reaches	reach	VERB
ap-282	213	33	an	an	DET
ap-282	213	34	infinite	infinite	ADJ
ap-282	213	35	value	value	NOUN
ap-282	213	36	at	at	ADP
ap-282	213	37	this	this	DET
ap-282	213	38	point	point	NOUN
ap-282	213	39	.	.	PUNCT
ap-282	214	1	it	it	PRON
ap-282	214	2	is	be	AUX
ap-282	214	3	also	also	ADV
ap-282	214	4	evident	evident	ADJ
ap-282	214	5	that	that	SCONJ
ap-282	214	6	there	there	PRON
ap-282	214	7	is	be	VERB
ap-282	214	8	a	a	DET
ap-282	214	9	high	high	ADJ
ap-282	214	10	amplitude	amplitude	NOUN
ap-282	214	11	rise	rise	NOUN
ap-282	214	12	for	for	ADP
ap-282	214	13	gradient	gradient	NOUN
ap-282	214	14	s	s	PROPN
ap-282	214	15	>	>	X
ap-282	214	16	86	86	NUM
ap-282	214	17	°	°	PROPN
ap-282	214	18	.	.	PUNCT
ap-282	215	1	it	it	PRON
ap-282	215	2	was	be	AUX
ap-282	215	3	derived	derive	VERB
ap-282	215	4	in	in	ADP
ap-282	215	5	equations	equation	NOUN
ap-282	215	6	(	(	PUNCT
ap-282	215	7	44)–(50	44)–(50	NUM
ap-282	215	8	)	)	PUNCT
ap-282	215	9	that	that	SCONJ
ap-282	215	10	the	the	DET
ap-282	215	11	quadrature	quadrature	NOUN
ap-282	215	12	part	part	NOUN
ap-282	215	13	of	of	ADP
ap-282	215	14	the	the	DET
ap-282	215	15	harmonic	harmonic	ADJ
ap-282	215	16	signal	signal	PROPN
ap-282	215	17	�	�	PROPN
ap-282	215	18	�	�	PROPN
ap-282	215	19	cos	cos	PROPN
ap-282	215	20	�	�	PROPN
ap-282	215	21	�	�	PROPN
ap-282	215	22	0	0	NUM
ap-282	215	23	t	t	PROPN
ap-282	215	24	�	�	PROPN
ap-282	215	25	reaches	reach	VERB
ap-282	215	26	an	an	DET
ap-282	215	27	infinite	infinite	ADJ
ap-282	215	28	amplitude	amplitude	NOUN
ap-282	215	29	at	at	ADP
ap-282	215	30	any	any	DET
ap-282	215	31	point	point	NOUN
ap-282	215	32	with	with	ADP
ap-282	215	33	a	a	DET
ap-282	215	34	step	step	NOUN
ap-282	215	35	change	change	NOUN
ap-282	215	36	and	and	CCONJ
ap-282	215	37	when	when	SCONJ
ap-282	215	38	the	the	DET
ap-282	215	39	relation	relation	NOUN
ap-282	215	40	�	�	PROPN
ap-282	215	41	�	�	PROPN
ap-282	215	42	cos	cos	PROPN
ap-282	215	43	�	�	PROPN
ap-282	215	44	�	�	PROPN
ap-282	215	45	0	0	NUM
ap-282	215	46	0	0	NUM
ap-282	215	47	t	t	PROPN
ap-282	215	48	�	�	PROPN
ap-282	215	49	'	'	PUNCT
ap-282	215	50	is	be	AUX
ap-282	215	51	valid	valid	ADJ
ap-282	215	52	.	.	PUNCT
ap-282	216	1	the	the	DET
ap-282	216	2	difference	difference	NOUN
ap-282	216	3	between	between	ADP
ap-282	216	4	the	the	DET
ap-282	216	5	theoretical	theoretical	ADJ
ap-282	216	6	amplitude	amplitude	NOUN
ap-282	216	7	(	(	PUNCT
ap-282	216	8	�	�	NOUN
ap-282	216	9	)	)	PUNCT
ap-282	216	10	and	and	CCONJ
ap-282	216	11	the	the	DET
ap-282	216	12	amplitude	amplitude	NOUN
ap-282	216	13	given	give	VERB
ap-282	216	14	numerically	numerically	ADV
ap-282	216	15	(	(	PUNCT
ap-282	216	16	90	90	NUM
ap-282	216	17	%	%	NOUN
ap-282	216	18	,	,	PUNCT
ap-282	216	19	see	see	VERB
ap-282	216	20	figure	figure	NOUN
ap-282	216	21	13	13	NUM
ap-282	216	22	)	)	PUNCT
ap-282	216	23	is	be	AUX
ap-282	216	24	due	due	ADJ
ap-282	216	25	to	to	ADP
ap-282	216	26	numerical	numerical	ADJ
ap-282	216	27	calculation	calculation	NOUN
ap-282	216	28	.	.	PUNCT
ap-282	217	1	numerical	numerical	ADJ
ap-282	217	2	calculation	calculation	NOUN
ap-282	217	3	is	be	AUX
ap-282	217	4	not	not	PART
ap-282	217	5	able	able	ADJ
ap-282	217	6	to	to	PART
ap-282	217	7	simulate	simulate	VERB
ap-282	217	8	a	a	DET
ap-282	217	9	trapezoidal	trapezoidal	ADJ
ap-282	217	10	pulse	pulse	NOUN
ap-282	217	11	with	with	ADP
ap-282	217	12	a	a	DET
ap-282	217	13	90	90	NUM
ap-282	217	14	°	°	NOUN
ap-282	217	15	gradient	gradient	NOUN
ap-282	217	16	according	accord	VERB
ap-282	217	17	to	to	ADP
ap-282	217	18	the	the	DET
ap-282	217	19	finite	finite	ADJ
ap-282	217	20	distance	distance	NOUN
ap-282	217	21	of	of	ADP
ap-282	217	22	two	two	NUM
ap-282	217	23	following	follow	VERB
ap-282	217	24	time	time	NOUN
ap-282	217	25	samples	sample	NOUN
ap-282	217	26	.	.	PUNCT
ap-282	218	1	the	the	DET
ap-282	218	2	maximum	maximum	PROPN
ap-282	218	3	gradient	gradient	NOUN
ap-282	218	4	that	that	PRON
ap-282	218	5	can	can	AUX
ap-282	218	6	be	be	AUX
ap-282	218	7	reached	reach	VERB
ap-282	218	8	by	by	ADP
ap-282	218	9	numerical	numerical	ADJ
ap-282	218	10	calculation	calculation	NOUN
ap-282	218	11	is	be	AUX
ap-282	218	12	given	give	VERB
ap-282	218	13	by	by	ADP
ap-282	218	14	�	�	PROPN
ap-282	218	15	�	�	PROPN
ap-282	218	16	�	�	PROPN
ap-282	218	17	�	�	PROPN
ap-282	218	18	s	s	PART
ap-282	218	19	g	g	PROPN
ap-282	218	20	e	e	PROPN
ap-282	218	21	fmax	fmax	PROPN
ap-282	218	22	�	�	PROPN
ap-282	218	23	�	�	PROPN
ap-282	218	24	180	180	NUM
ap-282	218	25	�	�	PROPN
ap-282	218	26	atan	atan	PROPN
ap-282	218	27	vz	vz	PROPN
ap-282	218	28	where	where	SCONJ
ap-282	218	29	fvz	fvz	PROPN
ap-282	218	30	is	be	AUX
ap-282	218	31	the	the	DET
ap-282	218	32	sampling	sample	VERB
ap-282	218	33	frequency	frequency	NOUN
ap-282	218	34	.	.	PUNCT
ap-282	219	1	it	it	PRON
ap-282	219	2	is	be	AUX
ap-282	219	3	possible	possible	ADJ
ap-282	219	4	to	to	PART
ap-282	219	5	reach	reach	VERB
ap-282	219	6	the	the	DET
ap-282	219	7	gradient	gradient	NOUN
ap-282	219	8	smax	smax	PROPN
ap-282	219	9	=	=	PUNCT
ap-282	220	1	89.936	89.936	NUM
ap-282	220	2	°	°	NOUN
ap-282	220	3	for	for	ADP
ap-282	220	4	fvz	fvz	NOUN
ap-282	220	5	=	=	SYM
ap-282	220	6	1	1	NUM
ap-282	220	7	khz	khz	NOUN
ap-282	220	8	and	and	CCONJ
ap-282	220	9	g	g	NOUN
ap-282	220	10	–	–	PUNCT
ap-282	220	11	e	e	NOUN
ap-282	220	12	=	=	SYM
ap-282	220	13	1	1	NUM
ap-282	220	14	,	,	PUNCT
ap-282	220	15	smax	smax	PROPN
ap-282	220	16	=	=	PROPN
ap-282	221	1	89.999	89.999	NUM
ap-282	221	2	°	°	NOUN
ap-282	221	3	for	for	ADP
ap-282	221	4	fvz	fvz	NOUN
ap-282	221	5	=	=	SYM
ap-282	221	6	1	1	NUM
ap-282	221	7	mhz	mhz	NOUN
ap-282	221	8	.	.	PUNCT
ap-282	222	1	a	a	DET
ap-282	222	2	further	further	ADJ
ap-282	222	3	increase	increase	NOUN
ap-282	222	4	in	in	ADP
ap-282	222	5	sampling	sample	VERB
ap-282	222	6	frequency	frequency	NOUN
ap-282	222	7	only	only	ADV
ap-282	222	8	very	very	ADV
ap-282	222	9	slowly	slowly	ADV
ap-282	222	10	approaches	approach	VERB
ap-282	222	11	to	to	ADP
ap-282	222	12	the	the	DET
ap-282	222	13	theoretical	theoretical	ADJ
ap-282	222	14	amplitude	amplitude	NOUN
ap-282	222	15	.	.	PUNCT
ap-282	223	1	4	4	NUM
ap-282	223	2	conclusion	conclusion	NOUN
ap-282	223	3	the	the	DET
ap-282	223	4	dependency	dependency	NOUN
ap-282	223	5	of	of	ADP
ap-282	223	6	the	the	DET
ap-282	223	7	size	size	NOUN
ap-282	223	8	overshoot	overshoot	NOUN
ap-282	223	9	on	on	ADP
ap-282	223	10	the	the	DET
ap-282	223	11	gradient	gradient	ADJ
ap-282	223	12	edge	edge	NOUN
ap-282	223	13	of	of	ADP
ap-282	223	14	a	a	DET
ap-282	223	15	pulse	pulse	NOUN
ap-282	223	16	was	be	AUX
ap-282	223	17	found	find	VERB
ap-282	223	18	.	.	PUNCT
ap-282	224	1	this	this	PRON
ap-282	224	2	was	be	AUX
ap-282	224	3	done	do	VERB
ap-282	224	4	by	by	ADP
ap-282	224	5	an	an	DET
ap-282	224	6	analytical	analytical	ADJ
ap-282	224	7	calculation	calculation	NOUN
ap-282	224	8	of	of	ADP
ap-282	224	9	the	the	DET
ap-282	224	10	quadrature	quadrature	NOUN
ap-282	224	11	part	part	NOUN
ap-282	224	12	of	of	ADP
ap-282	224	13	a	a	DET
ap-282	224	14	trapezoidal	trapezoidal	ADJ
ap-282	224	15	pulse	pulse	NOUN
ap-282	224	16	and	and	CCONJ
ap-282	224	17	of	of	ADP
ap-282	224	18	a	a	DET
ap-282	224	19	harmonic	harmonic	ADJ
ap-282	224	20	signal	signal	NOUN
ap-282	224	21	modulated	modulate	VERB
ap-282	224	22	by	by	ADP
ap-282	224	23	a	a	DET
ap-282	224	24	trapezoidal	trapezoidal	ADJ
ap-282	224	25	pulse	pulse	NOUN
ap-282	224	26	.	.	PUNCT
ap-282	225	1	the	the	DET
ap-282	225	2	same	same	ADJ
ap-282	225	3	source	source	NOUN
ap-282	225	4	of	of	ADP
ap-282	225	5	the	the	DET
ap-282	225	6	envelope	envelope	NOUN
ap-282	225	7	size	size	NOUN
ap-282	225	8	overshoot	overshoot	NOUN
ap-282	225	9	is	be	AUX
ap-282	225	10	the	the	DET
ap-282	225	11	gradient	gradient	ADJ
ap-282	225	12	edge	edge	NOUN
ap-282	225	13	of	of	ADP
ap-282	225	14	a	a	DET
ap-282	225	15	pulse	pulse	NOUN
ap-282	225	16	and	and	CCONJ
ap-282	225	17	also	also	ADV
ap-282	225	18	that	that	DET
ap-282	225	19	beginning	beginning	NOUN
ap-282	225	20	and	and	CCONJ
ap-282	225	21	end	end	NOUN
ap-282	225	22	of	of	ADP
ap-282	225	23	the	the	DET
ap-282	225	24	measurement	measurement	NOUN
ap-282	225	25	interval	interval	NOUN
ap-282	225	26	.	.	PUNCT
ap-282	226	1	the	the	DET
ap-282	226	2	size	size	NOUN
ap-282	226	3	of	of	ADP
ap-282	226	4	the	the	DET
ap-282	226	5	overshoot	overshoot	NOUN
ap-282	226	6	of	of	ADP
ap-282	226	7	a	a	DET
ap-282	226	8	harmonic	harmonic	ADJ
ap-282	226	9	signal	signal	NOUN
ap-282	226	10	modulated	modulate	VERB
ap-282	226	11	by	by	ADP
ap-282	226	12	a	a	DET
ap-282	226	13	trapezoidal	trapezoidal	ADJ
ap-282	226	14	pulse	pulse	NOUN
ap-282	226	15	is	be	AUX
ap-282	226	16	80	80	NUM
ap-282	226	17	%	%	NOUN
ap-282	226	18	with	with	ADP
ap-282	226	19	a	a	DET
ap-282	226	20	gradient	gradient	NOUN
ap-282	226	21	of	of	ADP
ap-282	226	22	edge	edge	NOUN
ap-282	226	23	almost	almost	ADV
ap-282	226	24	90	90	NUM
ap-282	226	25	°	°	NOUN
ap-282	226	26	.	.	PUNCT
ap-282	227	1	the	the	DET
ap-282	227	2	size	size	NOUN
ap-282	227	3	of	of	ADP
ap-282	227	4	the	the	DET
ap-282	227	5	overshoot	overshoot	NOUN
ap-282	227	6	of	of	ADP
ap-282	227	7	the	the	DET
ap-282	227	8	trapezoidal	trapezoidal	ADJ
ap-282	227	9	pulse	pulse	NOUN
ap-282	227	10	is	be	AUX
ap-282	227	11	250	250	NUM
ap-282	227	12	%	%	NOUN
ap-282	227	13	.	.	PUNCT
ap-282	228	1	the	the	DET
ap-282	228	2	analytical	analytical	ADJ
ap-282	228	3	dependency	dependency	NOUN
ap-282	228	4	of	of	ADP
ap-282	228	5	the	the	DET
ap-282	228	6	size	size	NOUN
ap-282	228	7	of	of	ADP
ap-282	228	8	the	the	DET
ap-282	228	9	overshoot	overshoot	NOUN
ap-282	228	10	as	as	SCONJ
ap-282	228	11	not	not	PART
ap-282	228	12	found	find	VERB
ap-282	228	13	,	,	PUNCT
ap-282	228	14	due	due	ADP
ap-282	228	15	to	to	ADP
ap-282	228	16	mathematical	mathematical	ADJ
ap-282	228	17	complexity	complexity	NOUN
ap-282	228	18	.	.	PUNCT
ap-282	229	1	only	only	ADV
ap-282	229	2	numerical	numerical	ADJ
ap-282	229	3	calculation	calculation	NOUN
ap-282	229	4	was	be	AUX
ap-282	229	5	done	do	VERB
ap-282	229	6	,	,	PUNCT
ap-282	229	7	based	base	VERB
ap-282	229	8	on	on	ADP
ap-282	229	9	previous	previous	ADJ
ap-282	229	10	analytical	analytical	ADJ
ap-282	229	11	calculation	calculation	NOUN
ap-282	229	12	of	of	ADP
ap-282	229	13	the	the	DET
ap-282	229	14	quadrature	quadrature	NOUN
ap-282	229	15	part	part	NOUN
ap-282	229	16	.	.	PUNCT
ap-282	230	1	acknowledgement	acknowledgement	NOUN
ap-282	230	2	this	this	DET
ap-282	230	3	research	research	NOUN
ap-282	230	4	work	work	NOUN
ap-282	230	5	has	have	AUX
ap-282	230	6	received	receive	VERB
ap-282	230	7	support	support	NOUN
ap-282	230	8	from	from	ADP
ap-282	230	9	research	research	NOUN
ap-282	230	10	program	program	NOUN
ap-282	230	11	no	no	DET
ap-282	230	12	j04/98:210000015	j04/98:210000015	NOUN
ap-282	230	13	“	"	PUNCT
ap-282	230	14	research	research	NOUN
ap-282	230	15	of	of	ADP
ap-282	230	16	new	new	ADJ
ap-282	230	17	methods	method	NOUN
ap-282	230	18	for	for	ADP
ap-282	230	19	physical	physical	ADJ
ap-282	230	20	quantities	quantity	NOUN
ap-282	230	21	measurement	measurement	NOUN
ap-282	230	22	and	and	CCONJ
ap-282	230	23	their	their	PRON
ap-282	230	24	application	application	NOUN
ap-282	230	25	in	in	ADP
ap-282	230	26	instrumentation	instrumentation	NOUN
ap-282	230	27	”	"	PUNCT
ap-282	230	28	of	of	ADP
ap-282	230	29	the	the	DET
ap-282	230	30	czech	czech	PROPN
ap-282	230	31	technical	technical	PROPN
ap-282	230	32	university	university	PROPN
ap-282	230	33	in	in	ADP
ap-282	230	34	prague	prague	PROPN
ap-282	230	35	(	(	PUNCT
ap-282	230	36	sponsored	sponsor	VERB
ap-282	230	37	by	by	ADP
ap-282	230	38	the	the	DET
ap-282	230	39	ministry	ministry	PROPN
ap-282	230	40	of	of	ADP
ap-282	230	41	education	education	PROPN
ap-282	230	42	,	,	PUNCT
ap-282	230	43	youth	youth	NOUN
ap-282	230	44	and	and	CCONJ
ap-282	230	45	sports	sport	NOUN
ap-282	230	46	of	of	ADP
ap-282	230	47	the	the	DET
ap-282	230	48	czech	czech	PROPN
ap-282	230	49	republic	republic	NOUN
ap-282	230	50	)	)	PUNCT
ap-282	230	51	.	.	PUNCT
ap-282	231	1	references	reference	NOUN
ap-282	231	2	[	[	X
ap-282	231	3	1	1	NUM
ap-282	231	4	]	]	PUNCT
ap-282	231	5	hahn	hahn	PROPN
ap-282	231	6	,	,	PUNCT
ap-282	231	7	s.	s.	PROPN
ap-282	231	8	l.	l.	PROPN
ap-282	231	9	:	:	PUNCT
ap-282	231	10	hilbert	hilbert	NOUN
ap-282	231	11	transforms	transform	VERB
ap-282	231	12	in	in	ADP
ap-282	231	13	signal	signal	ADJ
ap-282	231	14	processing	processing	NOUN
ap-282	231	15	.	.	PUNCT
ap-282	232	1	artech	artech	PROPN
ap-282	232	2	house	house	PROPN
ap-282	232	3	,	,	PUNCT
ap-282	232	4	boston	boston	PROPN
ap-282	232	5	,	,	PUNCT
ap-282	232	6	1966	1966	NUM
ap-282	233	1	[	[	X
ap-282	233	2	2	2	NUM
ap-282	233	3	]	]	X
ap-282	233	4	doubek	doubek	PROPN
ap-282	233	5	,	,	PUNCT
ap-282	233	6	j.	j.	PROPN
ap-282	233	7	:	:	PUNCT
ap-282	233	8	integrální	integrální	ADJ
ap-282	233	9	transformace	transformace	NOUN
ap-282	233	10	ve	ve	VERB
ap-282	233	11	zpracování	zpracování	PROPN
ap-282	233	12	vibrodiagnostického	vibrodiagnostického	PROPN
ap-282	233	13	signálu	signálu	PROPN
ap-282	233	14	.	.	PROPN
ap-282	234	1	dizertační	dizertační	PROPN
ap-282	234	2	práce	práce	PROPN
ap-282	234	3	,	,	PUNCT
ap-282	234	4	čvut	čvut	PROPN
ap-282	234	5	fakulta	fakulta	NOUN
ap-282	234	6	elektrotechnická	elektrotechnická	PROPN
ap-282	234	7	,	,	PUNCT
ap-282	234	8	2001	2001	NUM
ap-282	234	9	,	,	PUNCT
ap-282	234	10	(	(	PUNCT
ap-282	234	11	in	in	ADP
ap-282	234	12	czech	czech	PROPN
ap-282	234	13	:	:	PUNCT
ap-282	234	14	integral	integral	ADJ
ap-282	234	15	transform	transform	NOUN
ap-282	234	16	in	in	ADP
ap-282	234	17	a	a	DET
ap-282	234	18	vibrodiagnostic	vibrodiagnostic	ADJ
ap-282	234	19	signal	signal	NOUN
ap-282	234	20	)	)	PUNCT
ap-282	234	21	,	,	PUNCT
ap-282	234	22	ph.d	ph.d	PROPN
ap-282	234	23	.	.	PUNCT
ap-282	235	1	thesis	thesis	NOUN
ap-282	235	2	,	,	PUNCT
ap-282	235	3	fee	fee	NOUN
ap-282	235	4	,	,	PUNCT
ap-282	235	5	ctu	ctu	NOUN
ap-282	235	6	,	,	PUNCT
ap-282	235	7	prague	prague	NOUN
ap-282	235	8	,	,	PUNCT
ap-282	235	9	2001	2001	NUM
ap-282	235	10	[	[	X
ap-282	235	11	3	3	NUM
ap-282	235	12	]	]	PUNCT
ap-282	235	13	čížek	čížek	NOUN
ap-282	235	14	,	,	PUNCT
ap-282	235	15	v.	v.	CCONJ
ap-282	235	16	:	:	PUNCT
ap-282	235	17	discrete	discrete	ADJ
ap-282	235	18	hilbert	hilbert	NOUN
ap-282	235	19	transform	transform	NOUN
ap-282	235	20	.	.	PUNCT
ap-282	236	1	ieee	ieee	NOUN
ap-282	236	2	transaction	transaction	NOUN
ap-282	236	3	on	on	ADP
ap-282	236	4	audio	audio	ADJ
ap-282	236	5	and	and	CCONJ
ap-282	236	6	electronic	electronic	ADJ
ap-282	236	7	,	,	PUNCT
ap-282	236	8	volume	volume	NOUN
ap-282	236	9	au-18	au-18	NOUN
ap-282	236	10	,	,	PUNCT
ap-282	236	11	no	no	INTJ
ap-282	236	12	.	.	NOUN
ap-282	236	13	4	4	NUM
ap-282	236	14	,	,	PUNCT
ap-282	236	15	december	december	PROPN
ap-282	236	16	1970	1970	NUM
ap-282	236	17	,	,	PUNCT
ap-282	236	18	pp	pp	ADV
ap-282	236	19	.	.	PUNCT
ap-282	237	1	340–342	340–342	NUM
ap-282	237	2	[	[	X
ap-282	237	3	4	4	NUM
ap-282	237	4	]	]	X
ap-282	237	5	doubek	doubek	PROPN
ap-282	237	6	,	,	PUNCT
ap-282	237	7	j.	j.	PROPN
ap-282	237	8	,	,	PUNCT
ap-282	237	9	kreidl	kreidl	PROPN
ap-282	237	10	,	,	PUNCT
ap-282	237	11	m.	m.	NOUN
ap-282	237	12	:	:	PUNCT
ap-282	237	13	new	new	ADJ
ap-282	237	14	algorithms	algorithm	NOUN
ap-282	237	15	of	of	ADP
ap-282	237	16	gearbox	gearbox	NOUN
ap-282	237	17	faults	fault	NOUN
ap-282	237	18	detection	detection	NOUN
ap-282	237	19	using	use	VERB
ap-282	237	20	hilbert	hilbert	NOUN
ap-282	237	21	transform	transform	NOUN
ap-282	237	22	and	and	CCONJ
ap-282	237	23	cross	cross	NOUN
ap-282	237	24	corelation	corelation	NOUN
ap-282	237	25	.	.	PUNCT
ap-282	238	1	workshop	workshop	NOUN
ap-282	238	2	,	,	PUNCT
ap-282	238	3	ctu	ctu	NOUN
ap-282	238	4	publishing	publishing	PROPN
ap-282	238	5	house	house	PROPN
ap-282	238	6	,	,	PUNCT
ap-282	238	7	prague	prague	PROPN
ap-282	238	8	,	,	PUNCT
ap-282	238	9	2001	2001	NUM
ap-282	238	10	,	,	PUNCT
ap-282	238	11	pp	pp	ADJ
ap-282	238	12	.	.	PUNCT
ap-282	239	1	320–321	320–321	NUM
ap-282	239	2	[	[	X
ap-282	239	3	5	5	NUM
ap-282	239	4	]	]	X
ap-282	239	5	kreidl	kreidl	NOUN
ap-282	239	6	,	,	PUNCT
ap-282	239	7	m.	m.	NOUN
ap-282	239	8	,	,	PUNCT
ap-282	239	9	et	et	PROPN
ap-282	239	10	al	al	PROPN
ap-282	239	11	:	:	PUNCT
ap-282	239	12	diagnostické	diagnostické	PROPN
ap-282	239	13	systémy	systémy	PROPN
ap-282	239	14	.	.	PUNCT
ap-282	240	1	monografie	monografie	PROPN
ap-282	240	2	,	,	PUNCT
ap-282	240	3	ediční	ediční	PROPN
ap-282	240	4	středisko	středisko	PROPN
ap-282	240	5	čvut	čvut	PROPN
ap-282	240	6	,	,	PUNCT
ap-282	240	7	praha	praha	PROPN
ap-282	240	8	,	,	PUNCT
ap-282	240	9	(	(	PUNCT
ap-282	240	10	in	in	ADP
ap-282	240	11	czech	czech	PROPN
ap-282	240	12	:	:	PUNCT
ap-282	240	13	diagnostic	diagnostic	ADJ
ap-282	240	14	systems	system	NOUN
ap-282	240	15	)	)	PUNCT
ap-282	240	16	.	.	PUNCT
ap-282	241	1	monograph	monograph	NOUN
ap-282	241	2	,	,	PUNCT
ap-282	241	3	fee	fee	NOUN
ap-282	241	4	cut	cut	NOUN
ap-282	241	5	,	,	PUNCT
ap-282	241	6	prague	prague	PROPN
ap-282	241	7	,	,	PUNCT
ap-282	241	8	2001	2001	NUM
ap-282	241	9	doc	doc	PROPN
ap-282	241	10	.	.	PROPN
ap-282	242	1	ing	ing	PROPN
ap-282	242	2	.	.	PUNCT
ap-282	243	1	marcel	marcel	PROPN
ap-282	243	2	kreidl	kreidl	PROPN
ap-282	243	3	,	,	PUNCT
ap-282	243	4	csc	csc	PROPN
ap-282	243	5	.	.	PROPN
ap-282	244	1	e	e	X
ap-282	244	2	-	-	NOUN
ap-282	244	3	mail	mail	NOUN
ap-282	244	4	:	:	PUNCT
ap-282	244	5	kreidl@fel.cvut.cz	kreidl@fel.cvut.cz	PROPN
ap-282	244	6	ing	ing	PROPN
ap-282	244	7	.	.	PUNCT
ap-282	245	1	jan	jan	PROPN
ap-282	245	2	doubek	doubek	PROPN
ap-282	245	3	,	,	PUNCT
ap-282	245	4	ph.d	ph.d	PROPN
ap-282	245	5	.	.	PUNCT
ap-282	246	1	e	e	X
ap-282	246	2	-	-	NOUN
ap-282	246	3	mail	mail	NOUN
ap-282	246	4	:	:	PUNCT
ap-282	246	5	doubek@fel.cvut.cz	doubek@fel.cvut.cz	NOUN
ap-282	246	6	department	department	PROPN
ap-282	246	7	of	of	ADP
ap-282	246	8	measurement	measurement	PROPN
ap-282	246	9	czech	czech	PROPN
ap-282	246	10	technical	technical	PROPN
ap-282	246	11	university	university	PROPN
ap-282	246	12	in	in	ADP
ap-282	246	13	prague	prague	PROPN
ap-282	246	14	faculty	faculty	NOUN
ap-282	246	15	of	of	ADP
ap-282	246	16	electrical	electrical	ADJ
ap-282	246	17	engineering	engineering	NOUN
ap-282	246	18	technická	technická	NOUN
ap-282	246	19	2	2	NUM
ap-282	246	20	,	,	PUNCT
ap-282	246	21	166	166	NUM
ap-282	246	22	27	27	NUM
ap-282	246	23	praha	praha	NOUN
ap-282	246	24	6	6	NUM
ap-282	246	25	,	,	PUNCT
ap-282	246	26	czech	czech	PROPN
ap-282	246	27	republic	republic	NOUN
ap-282	246	28	32	32	NUM
ap-282	246	29	©	©	PROPN
ap-282	246	30	czech	czech	PROPN
ap-282	246	31	technical	technical	PROPN
ap-282	246	32	university	university	PROPN
ap-282	246	33	publishing	publishing	NOUN
ap-282	246	34	house	house	NOUN
ap-282	246	35	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-282	246	36	acta	acta	PROPN
ap-282	246	37	polytechnica	polytechnica	PROPN
ap-282	246	38	vol	vol	NOUN
ap-282	246	39	.	.	PUNCT
ap-282	247	1	41	41	NUM
ap-282	247	2	no	no	NOUN
ap-282	247	3	.	.	PUNCT
ap-282	248	1	6/2001	6/2001	NUM
ap-282	248	2	-10	-10	PUNCT
ap-282	249	1	-8	-8	NOUN
ap-282	250	1	-6	-6	INTJ
ap-282	250	2	-4	-4	INTJ
ap-282	251	1	-2	-2	NOUN
ap-282	251	2	0	0	NUM
ap-282	251	3	2	2	NUM
ap-282	251	4	4	4	NUM
ap-282	251	5	6	6	NUM
ap-282	251	6	8	8	NUM
ap-282	251	7	10	10	NUM
ap-282	251	8	-1	-1	SYM
ap-282	251	9	-0.5	-0.5	X
ap-282	251	10	0	0	NUM
ap-282	251	11	0.5	0.5	NUM
ap-282	251	12	1	1	NUM
ap-282	251	13	t	t	NOUN
ap-282	252	1	[	[	X
ap-282	252	2	s	s	X
ap-282	252	3	]	]	X
ap-282	252	4	)	)	PUNCT
ap-282	252	5	(	(	PUNCT
ap-282	252	6	tx	tx	PROPN
ap-282	252	7	)	)	PUNCT
ap-282	252	8	(	(	PUNCT
ap-282	252	9	teovershoot	teovershoot	NOUN
ap-282	252	10	)	)	PUNCT
ap-282	252	11	(	(	PUNCT
ap-282	252	12	~tx	~tx	PROPN
ap-282	252	13	fig	fig	NOUN
ap-282	252	14	.	.	PUNCT
ap-282	253	1	12	12	NUM
ap-282	253	2	:	:	PUNCT
ap-282	253	3	harmonic	harmonic	ADJ
ap-282	253	4	signal	signal	NOUN
ap-282	253	5	modulated	modulate	VERB
ap-282	253	6	by	by	ADP
ap-282	253	7	trapezoidal	trapezoidal	ADJ
ap-282	253	8	pulse	pulse	NOUN
ap-282	253	9	x(t	x(t	PROPN
ap-282	253	10	)	)	PUNCT
ap-282	253	11	given	give	VERB
ap-282	253	12	(	(	PUNCT
ap-282	253	13	19	19	NUM
ap-282	253	14	)	)	PUNCT
ap-282	253	15	,	,	PUNCT
ap-282	253	16	quadrature	quadrature	NOUN
ap-282	253	17	part	part	NOUN
ap-282	253	18	�	�	PROPN
ap-282	253	19	�	�	PROPN
ap-282	253	20	~x	~x	SYM
ap-282	253	21	t	t	PROPN
ap-282	253	22	and	and	CCONJ
ap-282	253	23	envelope	envelope	NOUN
ap-282	253	24	e(t	e(t	NOUN
ap-282	253	25	)	)	PUNCT
ap-282	253	26	with	with	ADP
ap-282	253	27	parameters	parameter	NOUN
ap-282	253	28	e	e	NOUN
ap-282	253	29	=	=	SYM
ap-282	253	30	0	0	NUM
ap-282	253	31	;	;	PUNCT
ap-282	253	32	g	g	PROPN
ap-282	253	33	=	=	SYM
ap-282	253	34	1	1	NUM
ap-282	253	35	;	;	PUNCT
ap-282	253	36	t3	t3	PROPN
ap-282	253	37	=	=	SYM
ap-282	253	38	�	�	PROPN
ap-282	253	39	6.25	6.25	NUM
ap-282	253	40	s	s	NOUN
ap-282	253	41	;	;	PUNCT
ap-282	253	42	t4	t4	PROPN
ap-282	253	43	=	=	PROPN
ap-282	253	44	�	�	PROPN
ap-282	253	45	5.75	5.75	NUM
ap-282	253	46	s	s	NOUN
ap-282	253	47	;	;	PUNCT
ap-282	253	48	t5	t5	PROPN
ap-282	253	49	=	=	PUNCT
ap-282	253	50	5.75	5.75	NUM
ap-282	253	51	s	s	NOUN
ap-282	253	52	;	;	PUNCT
ap-282	253	53	t6	t6	PROPN
ap-282	253	54	=	=	PROPN
ap-282	253	55	6.25	6.25	NUM
ap-282	253	56	s	s	NOUN
ap-282	253	57	;	;	PUNCT
ap-282	253	58	�	�	SYM
ap-282	253	59	0	0	NUM
ap-282	253	60	=	=	SYM
ap-282	253	61	2	2	NUM
ap-282	253	62	�	�	PROPN
ap-282	253	63	;	;	PUNCT
ap-282	253	64	�	�	PROPN
ap-282	253	65	=	=	SYM
ap-282	253	66	0	0	NUM
ap-282	253	67	,	,	PUNCT
ap-282	253	68	fvz	fvz	NOUN
ap-282	253	69	=	=	SYM
ap-282	253	70	1	1	NUM
ap-282	253	71	khz	khz	NOUN
ap-282	253	72	notice	notice	NOUN
ap-282	253	73	:	:	PUNCT
ap-282	253	74	parameters	parameter	NOUN
ap-282	253	75	t1	t1	VERB
ap-282	253	76	and	and	CCONJ
ap-282	253	77	t8	t8	NOUN
ap-282	253	78	lose	lose	VERB
ap-282	253	79	their	their	PRON
ap-282	253	80	relevance	relevance	NOUN
ap-282	253	81	if	if	SCONJ
ap-282	253	82	the	the	DET
ap-282	253	83	parameter	parameter	NOUN
ap-282	253	84	e	e	NOUN
ap-282	253	85	=	=	SYM
ap-282	253	86	0	0	PROPN
ap-282	253	87	.	.	PUNCT
ap-282	254	1	for	for	ADP
ap-282	254	2	this	this	DET
ap-282	254	3	reason	reason	NOUN
ap-282	254	4	these	these	DET
ap-282	254	5	parameters	parameter	NOUN
ap-282	254	6	were	be	AUX
ap-282	254	7	not	not	PART
ap-282	254	8	mentioned	mention	VERB
ap-282	254	9	.	.	PUNCT
ap-282	255	1	parameter	parameter	NOUN
ap-282	255	2	e	e	PROPN
ap-282	255	3	=	=	SYM
ap-282	255	4	0	0	NUM
ap-282	255	5	was	be	AUX
ap-282	255	6	chosen	choose	VERB
ap-282	255	7	to	to	PART
ap-282	255	8	provide	provide	VERB
ap-282	255	9	an	an	DET
ap-282	255	10	easier	easy	ADJ
ap-282	255	11	view	view	NOUN
ap-282	255	12	of	of	ADP
ap-282	255	13	the	the	DET
ap-282	255	14	quadrature	quadrature	NOUN
ap-282	255	15	part	part	NOUN
ap-282	255	16	and	and	CCONJ
ap-282	255	17	envelope	envelope	NOUN
ap-282	255	18	.	.	PUNCT
ap-282	256	1	60	60	NUM
ap-282	256	2	80	80	NUM
ap-282	256	3	100	100	NUM
ap-282	256	4	%	%	NOUN
ap-282	256	5	fig	fig	NOUN
ap-282	256	6	.	.	PUNCT
ap-282	257	1	13	13	NUM
ap-282	257	2	:	:	PUNCT
ap-282	257	3	normalized	normalize	VERB
ap-282	257	4	graph	graph	NOUN
ap-282	257	5	of	of	ADP
ap-282	257	6	overshoot	overshoot	NOUN
ap-282	257	7	dependency	dependency	NOUN
ap-282	257	8	on	on	ADP
ap-282	257	9	the	the	DET
ap-282	257	10	gradient	gradient	NOUN
ap-282	257	11	s	s	PROPN
ap-282	257	12	of	of	ADP
ap-282	257	13	the	the	DET
ap-282	257	14	signal	signal	NOUN
ap-282	257	15	(	(	PUNCT
ap-282	257	16	19	19	NUM
ap-282	257	17	)	)	PUNCT
ap-282	257	18	rising	rise	VERB
ap-282	257	19	edge	edge	NOUN
ap-282	257	20	,	,	PUNCT
ap-282	257	21	parameters	parameter	NOUN
ap-282	257	22	�	�	PROPN
ap-282	257	23	�	�	PROPN
ap-282	257	24	�	�	PROPN
ap-282	257	25	�	�	PROPN
ap-282	257	26	�	�	PROPN
ap-282	257	27	s	s	PART
ap-282	257	28	g	g	PROPN
ap-282	257	29	e	e	PROPN
ap-282	257	30	t	t	PROPN
ap-282	257	31	t	t	PROPN
ap-282	257	32	�	�	PROPN
ap-282	257	33	�	�	PROPN
ap-282	257	34	�	�	PROPN
ap-282	257	35	180	180	NUM
ap-282	257	36	6	6	NUM
ap-282	257	37	5atan	5atan	NUM
ap-282	257	38	�	�	PROPN
ap-282	257	39	,	,	PUNCT
ap-282	257	40	where	where	SCONJ
ap-282	257	41	e	e	NOUN
ap-282	257	42	=	=	SYM
ap-282	257	43	0	0	PROPN
ap-282	257	44	,	,	PUNCT
ap-282	257	45	g	g	NOUN
ap-282	257	46	=	=	SYM
ap-282	257	47	1	1	NUM
ap-282	257	48	,	,	PUNCT
ap-282	257	49	t6	t6	PROPN
ap-282	257	50	=	=	PROPN
ap-282	257	51	6	6	NUM
ap-282	257	52	s	s	PROPN
ap-282	257	53	,	,	PUNCT
ap-282	257	54	�	�	PROPN
ap-282	257	55	�	�	PROPN
ap-282	257	56	t	t	PROPN
ap-282	257	57	t6	t6	PROPN
ap-282	257	58	5	5	NUM
ap-282	257	59	0	0	NUM
ap-282	257	60	5	5	NUM
ap-282	257	61	�	�	PROPN
ap-282	257	62	�	�	PROPN
ap-282	257	63	s	s	PART
ap-282	257	64	s	s	PROPN
ap-282	257	65	,	,	PUNCT
ap-282	257	66	,	,	PUNCT
ap-282	257	67	�	�	PROPN
ap-282	257	68	0	0	NUM
ap-282	257	69	=	=	SYM
ap-282	257	70	2	2	NUM
ap-282	257	71	�	�	PROPN
ap-282	257	72	,	,	PUNCT
ap-282	257	73	�	�	PROPN
ap-282	257	74	=	=	SYM
ap-282	257	75	0	0	NUM