id	sid	tid	token	lemma	pos
bibechana-11681	1	1	microsoft	microsoft	PROPN
bibechana-11681	1	2	word	word	PROPN
bibechana-11681	1	3	md	md	PROPN
bibechana-11681	1	4	yasin	yasin	PROPN
bibechana-11681	2	1	_	_	PRON
bibechana-11681	2	2	13	13	NUM
bibechana-11681	2	3	-	-	SYM
bibechana-11681	2	4	19_.doc	19_.doc	NUM
bibechana-11681	2	5	r	r	NOUN
bibechana-11681	2	6	c	c	NOUN
bibechana-11681	3	1	o	o	NOUN
bibechana-11681	3	2	s	s	PROPN
bibechana-11681	3	3	t	t	PROPN
bibechana-11681	3	4	n	n	PRON
bibechana-11681	3	5	publisher	publisher	NOUN
bibechana-11681	3	6	:	:	PUNCT
bibechana-11681	3	7	research	research	PROPN
bibechana-11681	3	8	council	council	PROPN
bibechana-11681	3	9	of	of	ADP
bibechana-11681	3	10	science	science	NOUN
bibechana-11681	3	11	and	and	CCONJ
bibechana-11681	3	12	technology	technology	NOUN
bibechana-11681	3	13	,	,	PUNCT
bibechana-11681	3	14	biratnagar	biratnagar	NOUN
bibechana-11681	3	15	,	,	PUNCT
bibechana-11681	3	16	nepal	nepal	ADJ
bibechana-11681	3	17	p.	p.	NOUN
bibechana-11681	3	18	13	13	NUM
bibechana-11681	3	19	bibechana	bibechana	NOUN
bibechana-11681	3	20	a	a	DET
bibechana-11681	3	21	multidisciplinary	multidisciplinary	ADJ
bibechana-11681	3	22	journal	journal	NOUN
bibechana-11681	3	23	of	of	ADP
bibechana-11681	3	24	science	science	NOUN
bibechana-11681	3	25	,	,	PUNCT
bibechana-11681	3	26	technology	technology	NOUN
bibechana-11681	3	27	and	and	CCONJ
bibechana-11681	3	28	mathematics	mathematic	NOUN
bibechana-11681	3	29	issn	issn	VERB
bibechana-11681	3	30	2091	2091	NUM
bibechana-11681	3	31	-	-	SYM
bibechana-11681	3	32	0762	0762	NUM
bibechana-11681	3	33	(	(	PUNCT
bibechana-11681	3	34	print	print	NOUN
bibechana-11681	3	35	)	)	PUNCT
bibechana-11681	3	36	,	,	PUNCT
bibechana-11681	3	37	2382	2382	NUM
bibechana-11681	3	38	-	-	SYM
bibechana-11681	3	39	5340	5340	NUM
bibechana-11681	3	40	(	(	PUNCT
bibechana-11681	3	41	online	online	ADJ
bibechana-11681	3	42	)	)	PUNCT
bibechana-11681	3	43	journal	journal	NOUN
bibechana-11681	3	44	homepage	homepage	NOUN
bibechana-11681	3	45	:	:	PUNCT
bibechana-11681	3	46	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-11681	3	47	simplified	simplify	VERB
bibechana-11681	3	48	approach	approach	NOUN
bibechana-11681	3	49	to	to	ADP
bibechana-11681	3	50	dft	dft	VERB
bibechana-11681	3	51	computation	computation	NOUN
bibechana-11681	3	52	for	for	ADP
bibechana-11681	3	53	nonprogrammable	nonprogrammable	ADJ
bibechana-11681	3	54	scientific	scientific	ADJ
bibechana-11681	3	55	calculators	calculator	NOUN
bibechana-11681	3	56	mohd	mohd	PROPN
bibechana-11681	3	57	yusuf	yusuf	PROPN
bibechana-11681	3	58	yasin	yasin	PROPN
bibechana-11681	3	59	ece	ece	PROPN
bibechana-11681	3	60	department	department	PROPN
bibechana-11681	3	61	,	,	PUNCT
bibechana-11681	3	62	integral	integral	ADJ
bibechana-11681	3	63	university	university	NOUN
bibechana-11681	3	64	,	,	PUNCT
bibechana-11681	3	65	kursi	kursi	NOUN
bibechana-11681	3	66	road	road	NOUN
bibechana-11681	3	67	,	,	PUNCT
bibechana-11681	3	68	lucknow	lucknow	PROPN
bibechana-11681	3	69	,	,	PUNCT
bibechana-11681	3	70	uttar	uttar	PROPN
bibechana-11681	3	71	pradesh	pradesh	PROPN
bibechana-11681	3	72	,	,	PUNCT
bibechana-11681	3	73	india	india	PROPN
bibechana-11681	3	74	,	,	PUNCT
bibechana-11681	3	75	pin	pin	PROPN
bibechana-11681	3	76	226026	226026	NUM
bibechana-11681	3	77	,	,	PUNCT
bibechana-11681	3	78	email	email	NOUN
bibechana-11681	3	79	:	:	PUNCT
bibechana-11681	3	80	mmyasin@rediffmail.com	mmyasin@rediffmail.com	X
bibechana-11681	3	81	accepted	accept	VERB
bibechana-11681	3	82	for	for	ADP
bibechana-11681	3	83	publication	publication	NOUN
bibechana-11681	3	84	:	:	PUNCT
bibechana-11681	3	85	december	december	PROPN
bibechana-11681	3	86	6	6	NUM
bibechana-11681	3	87	,	,	PUNCT
bibechana-11681	3	88	2014	2014	NUM
bibechana-11681	3	89	abstract	abstract	ADJ
bibechana-11681	3	90	fourier	fourier	NOUN
bibechana-11681	3	91	analysis	analysis	NOUN
bibechana-11681	3	92	is	be	AUX
bibechana-11681	3	93	an	an	DET
bibechana-11681	3	94	important	important	ADJ
bibechana-11681	3	95	tool	tool	NOUN
bibechana-11681	3	96	used	use	VERB
bibechana-11681	3	97	as	as	SCONJ
bibechana-11681	3	98	it	it	PRON
bibechana-11681	3	99	is	be	AUX
bibechana-11681	3	100	or	or	CCONJ
bibechana-11681	3	101	it	it	PRON
bibechana-11681	3	102	’s	’	VERB
bibechana-11681	3	103	different	different	ADJ
bibechana-11681	3	104	variants	variant	NOUN
bibechana-11681	3	105	in	in	ADP
bibechana-11681	3	106	many	many	ADJ
bibechana-11681	3	107	fields	field	NOUN
bibechana-11681	3	108	of	of	ADP
bibechana-11681	3	109	sciences	science	NOUN
bibechana-11681	3	110	and	and	CCONJ
bibechana-11681	3	111	engineering	engineering	NOUN
bibechana-11681	3	112	.	.	PUNCT
bibechana-11681	4	1	it	it	PRON
bibechana-11681	4	2	’s	’	VERB
bibechana-11681	4	3	importance	importance	NOUN
bibechana-11681	4	4	is	be	AUX
bibechana-11681	4	5	due	due	ADJ
bibechana-11681	4	6	to	to	ADP
bibechana-11681	4	7	it	it	PRON
bibechana-11681	4	8	’s	’	VERB
bibechana-11681	4	9	simplicity	simplicity	NOUN
bibechana-11681	4	10	with	with	ADP
bibechana-11681	4	11	which	which	PRON
bibechana-11681	4	12	it	it	PRON
bibechana-11681	4	13	expands	expand	VERB
bibechana-11681	4	14	a	a	DET
bibechana-11681	4	15	given	give	VERB
bibechana-11681	4	16	function	function	NOUN
bibechana-11681	4	17	in	in	ADP
bibechana-11681	4	18	terms	term	NOUN
bibechana-11681	4	19	of	of	ADP
bibechana-11681	4	20	circular	circular	ADJ
bibechana-11681	4	21	or	or	CCONJ
bibechana-11681	4	22	complex	complex	ADJ
bibechana-11681	4	23	exponents	exponent	NOUN
bibechana-11681	4	24	.	.	PUNCT
bibechana-11681	5	1	further	far	ADV
bibechana-11681	5	2	it	it	PRON
bibechana-11681	5	3	is	be	AUX
bibechana-11681	5	4	quite	quite	ADV
bibechana-11681	5	5	versatile	versatile	ADJ
bibechana-11681	5	6	to	to	PART
bibechana-11681	5	7	handle	handle	VERB
bibechana-11681	5	8	many	many	ADJ
bibechana-11681	5	9	functions	function	NOUN
bibechana-11681	5	10	of	of	ADP
bibechana-11681	5	11	practical	practical	ADJ
bibechana-11681	5	12	interest	interest	NOUN
bibechana-11681	5	13	,	,	PUNCT
bibechana-11681	5	14	specifically	specifically	ADV
bibechana-11681	5	15	,	,	PUNCT
bibechana-11681	5	16	the	the	DET
bibechana-11681	5	17	functions	function	NOUN
bibechana-11681	5	18	with	with	ADP
bibechana-11681	5	19	several	several	ADJ
bibechana-11681	5	20	mathematical	mathematical	ADJ
bibechana-11681	5	21	disabilities	disability	NOUN
bibechana-11681	5	22	that	that	PRON
bibechana-11681	5	23	are	be	AUX
bibechana-11681	5	24	hard	hard	ADJ
bibechana-11681	5	25	to	to	PART
bibechana-11681	5	26	be	be	AUX
bibechana-11681	5	27	handled	handle	VERB
bibechana-11681	5	28	with	with	ADP
bibechana-11681	5	29	tools	tool	NOUN
bibechana-11681	5	30	like	like	ADP
bibechana-11681	5	31	taylor	taylor	PROPN
bibechana-11681	5	32	series	series	PROPN
bibechana-11681	5	33	.	.	PUNCT
bibechana-11681	6	1	discrete	discrete	ADJ
bibechana-11681	6	2	fourier	fourier	NOUN
bibechana-11681	6	3	transform	transform	NOUN
bibechana-11681	6	4	(	(	PUNCT
bibechana-11681	6	5	dft	dft	NOUN
bibechana-11681	6	6	)	)	PUNCT
bibechana-11681	6	7	is	be	AUX
bibechana-11681	6	8	a	a	DET
bibechana-11681	6	9	form	form	NOUN
bibechana-11681	6	10	of	of	ADP
bibechana-11681	6	11	fourier	fourier	ADJ
bibechana-11681	6	12	analysis	analysis	NOUN
bibechana-11681	6	13	where	where	SCONJ
bibechana-11681	6	14	the	the	DET
bibechana-11681	6	15	discrete	discrete	ADJ
bibechana-11681	6	16	function	function	NOUN
bibechana-11681	6	17	and	and	CCONJ
bibechana-11681	6	18	it	it	PRON
bibechana-11681	6	19	’s	’	VERB
bibechana-11681	6	20	transform	transform	VERB
bibechana-11681	6	21	are	be	AUX
bibechana-11681	6	22	both	both	PRON
bibechana-11681	6	23	of	of	ADP
bibechana-11681	6	24	finite	finite	ADJ
bibechana-11681	6	25	length	length	NOUN
bibechana-11681	6	26	.	.	PUNCT
bibechana-11681	7	1	this	this	DET
bibechana-11681	7	2	processing	processing	NOUN
bibechana-11681	7	3	requires	require	VERB
bibechana-11681	7	4	lot	lot	NOUN
bibechana-11681	7	5	many	many	ADJ
bibechana-11681	7	6	computations	computation	NOUN
bibechana-11681	7	7	.	.	PUNCT
bibechana-11681	8	1	here	here	ADV
bibechana-11681	8	2	in	in	ADP
bibechana-11681	8	3	this	this	DET
bibechana-11681	8	4	work	work	NOUN
bibechana-11681	8	5	a	a	DET
bibechana-11681	8	6	simplified	simplified	ADJ
bibechana-11681	8	7	and	and	CCONJ
bibechana-11681	8	8	non	non	ADJ
bibechana-11681	8	9	programmable	programmable	ADJ
bibechana-11681	8	10	calculator	calculator	NOUN
bibechana-11681	8	11	based	base	VERB
bibechana-11681	8	12	scheme	scheme	NOUN
bibechana-11681	8	13	is	be	AUX
bibechana-11681	8	14	presented	present	VERB
bibechana-11681	8	15	with	with	ADP
bibechana-11681	8	16	which	which	PRON
bibechana-11681	8	17	one	one	PRON
bibechana-11681	8	18	can	can	AUX
bibechana-11681	8	19	easily	easily	ADV
bibechana-11681	8	20	determine	determine	VERB
bibechana-11681	8	21	the	the	DET
bibechana-11681	8	22	dft	dft	NOUN
bibechana-11681	8	23	of	of	ADP
bibechana-11681	8	24	the	the	DET
bibechana-11681	8	25	given	give	VERB
bibechana-11681	8	26	function	function	NOUN
bibechana-11681	8	27	by	by	ADP
bibechana-11681	8	28	feeding	feed	VERB
bibechana-11681	8	29	in	in	ADP
bibechana-11681	8	30	the	the	DET
bibechana-11681	8	31	dft	dft	PROPN
bibechana-11681	8	32	equation	equation	NOUN
bibechana-11681	8	33	once	once	ADV
bibechana-11681	8	34	and	and	CCONJ
bibechana-11681	8	35	a	a	DET
bibechana-11681	8	36	few	few	ADJ
bibechana-11681	8	37	presses	press	NOUN
bibechana-11681	8	38	of	of	ADP
bibechana-11681	8	39	the	the	DET
bibechana-11681	8	40	calculator	calculator	NOUN
bibechana-11681	8	41	keys	key	NOUN
bibechana-11681	8	42	.	.	PUNCT
bibechana-11681	9	1	doi	doi	NOUN
bibechana-11681	9	2	:	:	PUNCT
bibechana-11681	9	3	http://dx.doi.org/10.3126/bibechana.v12i0.11681	http://dx.doi.org/10.3126/bibechana.v12i0.11681	PROPN
bibechana-11681	9	4	©	©	PROPN
bibechana-11681	9	5	2014	2014	NUM
bibechana-11681	9	6	rcost	rcost	NOUN
bibechana-11681	9	7	:	:	PUNCT
bibechana-11681	9	8	all	all	DET
bibechana-11681	9	9	rights	right	NOUN
bibechana-11681	9	10	reserved	reserve	VERB
bibechana-11681	9	11	.	.	PUNCT
bibechana-11681	10	1	keywords	keyword	NOUN
bibechana-11681	10	2	:	:	PUNCT
bibechana-11681	10	3	fourier	fourier	ADJ
bibechana-11681	10	4	analysis	analysis	NOUN
bibechana-11681	10	5	;	;	PUNCT
bibechana-11681	10	6	dft	dft	NOUN
bibechana-11681	10	7	computation	computation	NOUN
bibechana-11681	10	8	;	;	PUNCT
bibechana-11681	10	9	scientific	scientific	ADJ
bibechana-11681	10	10	calculator	calculator	NOUN
bibechana-11681	10	11	.	.	PUNCT
bibechana-11681	11	1	1	1	X
bibechana-11681	11	2	.	.	X
bibechana-11681	11	3	introduction	introduction	NOUN
bibechana-11681	11	4	engineering	engineering	NOUN
bibechana-11681	11	5	is	be	AUX
bibechana-11681	11	6	so	so	ADV
bibechana-11681	11	7	heavily	heavily	ADV
bibechana-11681	11	8	endowed	endow	VERB
bibechana-11681	11	9	with	with	ADP
bibechana-11681	11	10	the	the	DET
bibechana-11681	11	11	mathematics	mathematic	NOUN
bibechana-11681	11	12	that	that	PRON
bibechana-11681	11	13	it	it	PRON
bibechana-11681	11	14	may	may	AUX
bibechana-11681	11	15	be	be	AUX
bibechana-11681	11	16	hard	hard	ADJ
bibechana-11681	11	17	to	to	PART
bibechana-11681	11	18	find	find	VERB
bibechana-11681	11	19	out	out	ADP
bibechana-11681	11	20	a	a	DET
bibechana-11681	11	21	single	single	ADJ
bibechana-11681	11	22	topic	topic	NOUN
bibechana-11681	11	23	of	of	ADP
bibechana-11681	11	24	mathematics	mathematic	NOUN
bibechana-11681	11	25	that	that	PRON
bibechana-11681	11	26	is	be	AUX
bibechana-11681	11	27	never	never	ADV
bibechana-11681	11	28	used	use	VERB
bibechana-11681	11	29	in	in	ADP
bibechana-11681	11	30	any	any	DET
bibechana-11681	11	31	application	application	NOUN
bibechana-11681	11	32	;	;	PUNCT
bibechana-11681	11	33	engineering	engineering	NOUN
bibechana-11681	11	34	and	and	CCONJ
bibechana-11681	11	35	mathematics	mathematic	NOUN
bibechana-11681	11	36	run	run	VERB
bibechana-11681	11	37	side	side	NOUN
bibechana-11681	11	38	by	by	ADP
bibechana-11681	11	39	side	side	NOUN
bibechana-11681	11	40	and	and	CCONJ
bibechana-11681	11	41	are	be	AUX
bibechana-11681	11	42	naturally	naturally	ADV
bibechana-11681	11	43	inseparable	inseparable	ADJ
bibechana-11681	11	44	from	from	ADP
bibechana-11681	11	45	one	one	NUM
bibechana-11681	11	46	another	another	DET
bibechana-11681	11	47	.	.	PUNCT
bibechana-11681	12	1	more	more	ADV
bibechana-11681	12	2	sophisticated	sophisticated	ADJ
bibechana-11681	12	3	engineering	engineering	NOUN
bibechana-11681	12	4	applications	application	NOUN
bibechana-11681	12	5	usually	usually	ADV
bibechana-11681	12	6	involve	involve	VERB
bibechana-11681	12	7	advanced	advanced	ADJ
bibechana-11681	12	8	mathematics	mathematic	NOUN
bibechana-11681	12	9	.	.	PUNCT
bibechana-11681	13	1	engineering	engineering	NOUN
bibechana-11681	13	2	point	point	NOUN
bibechana-11681	13	3	of	of	ADP
bibechana-11681	13	4	view	view	NOUN
bibechana-11681	13	5	is	be	AUX
bibechana-11681	13	6	to	to	PART
bibechana-11681	13	7	achieve	achieve	VERB
bibechana-11681	13	8	the	the	DET
bibechana-11681	13	9	solution	solution	NOUN
bibechana-11681	13	10	with	with	ADP
bibechana-11681	13	11	a	a	DET
bibechana-11681	13	12	certain	certain	ADJ
bibechana-11681	13	13	tolerances	tolerance	NOUN
bibechana-11681	13	14	.	.	PUNCT
bibechana-11681	14	1	this	this	PRON
bibechana-11681	14	2	is	be	AUX
bibechana-11681	14	3	a	a	DET
bibechana-11681	14	4	necessary	necessary	ADJ
bibechana-11681	14	5	design	design	NOUN
bibechana-11681	14	6	parameter	parameter	NOUN
bibechana-11681	14	7	that	that	PRON
bibechana-11681	14	8	involves	involve	VERB
bibechana-11681	14	9	a	a	DET
bibechana-11681	14	10	compromise	compromise	NOUN
bibechana-11681	14	11	between	between	ADP
bibechana-11681	14	12	the	the	DET
bibechana-11681	14	13	efforts	effort	NOUN
bibechana-11681	14	14	required	require	VERB
bibechana-11681	14	15	to	to	PART
bibechana-11681	14	16	obtain	obtain	VERB
bibechana-11681	14	17	the	the	DET
bibechana-11681	14	18	final	final	ADJ
bibechana-11681	14	19	solution	solution	NOUN
bibechana-11681	14	20	and	and	CCONJ
bibechana-11681	14	21	the	the	DET
bibechana-11681	14	22	total	total	ADJ
bibechana-11681	14	23	time	time	NOUN
bibechana-11681	14	24	spent	spend	VERB
bibechana-11681	14	25	in	in	ADP
bibechana-11681	14	26	achieving	achieve	VERB
bibechana-11681	14	27	it	it	PRON
bibechana-11681	14	28	.	.	PUNCT
bibechana-11681	15	1	bode	bode	VERB
bibechana-11681	15	2	’s	’s	PART
bibechana-11681	15	3	plotting	plotting	NOUN
bibechana-11681	15	4	is	be	AUX
bibechana-11681	15	5	a	a	DET
bibechana-11681	15	6	popular	popular	ADJ
bibechana-11681	15	7	example	example	NOUN
bibechana-11681	15	8	,	,	PUNCT
bibechana-11681	15	9	where	where	SCONJ
bibechana-11681	15	10	error	error	NOUN
bibechana-11681	15	11	at	at	ADP
bibechana-11681	15	12	a	a	DET
bibechana-11681	15	13	corner	corner	NOUN
bibechana-11681	15	14	frequency	frequency	NOUN
bibechana-11681	15	15	is	be	AUX
bibechana-11681	15	16	substantially	substantially	ADV
bibechana-11681	15	17	high	high	ADJ
bibechana-11681	15	18	(	(	PUNCT
bibechana-11681	15	19	3db	3db	ADJ
bibechana-11681	15	20	maximum	maximum	NOUN
bibechana-11681	15	21	)	)	PUNCT
bibechana-11681	15	22	,	,	PUNCT
bibechana-11681	15	23	accuracy	accuracy	NOUN
bibechana-11681	15	24	of	of	ADP
bibechana-11681	15	25	the	the	DET
bibechana-11681	15	26	function	function	NOUN
bibechana-11681	15	27	is	be	AUX
bibechana-11681	15	28	sacrificed	sacrifice	VERB
bibechana-11681	15	29	at	at	ADP
bibechana-11681	15	30	the	the	DET
bibechana-11681	15	31	corner	corner	NOUN
bibechana-11681	15	32	,	,	PUNCT
bibechana-11681	15	33	but	but	CCONJ
bibechana-11681	15	34	it	it	PRON
bibechana-11681	15	35	pays	pay	VERB
bibechana-11681	15	36	off	off	ADP
bibechana-11681	15	37	by	by	ADP
bibechana-11681	15	38	enhancing	enhance	VERB
bibechana-11681	15	39	the	the	DET
bibechana-11681	15	40	speed	speed	NOUN
bibechana-11681	15	41	in	in	ADP
bibechana-11681	15	42	estimating	estimate	VERB
bibechana-11681	15	43	the	the	DET
bibechana-11681	15	44	characteristics	characteristic	NOUN
bibechana-11681	15	45	of	of	ADP
bibechana-11681	15	46	a	a	DET
bibechana-11681	15	47	system	system	NOUN
bibechana-11681	15	48	containing	contain	VERB
bibechana-11681	15	49	several	several	ADJ
bibechana-11681	15	50	distinguished	distinguished	ADJ
bibechana-11681	15	51	poles	pole	NOUN
bibechana-11681	15	52	and	and	CCONJ
bibechana-11681	15	53	zeros	zero	NOUN
bibechana-11681	15	54	,	,	PUNCT
bibechana-11681	15	55	of	of	ADP
bibechana-11681	15	56	different	different	ADJ
bibechana-11681	15	57	types	type	NOUN
bibechana-11681	15	58	,	,	PUNCT
bibechana-11681	15	59	in	in	ADP
bibechana-11681	15	60	just	just	ADV
bibechana-11681	15	61	a	a	DET
bibechana-11681	15	62	few	few	ADJ
bibechana-11681	15	63	steps	step	NOUN
bibechana-11681	15	64	[	[	X
bibechana-11681	15	65	1	1	NUM
bibechana-11681	15	66	]	]	PUNCT
bibechana-11681	15	67	.	.	PUNCT
bibechana-11681	16	1	optimization	optimization	NOUN
bibechana-11681	16	2	of	of	ADP
bibechana-11681	16	3	speed	speed	NOUN
bibechana-11681	16	4	and	and	CCONJ
bibechana-11681	16	5	efforts	effort	NOUN
bibechana-11681	16	6	seem	seem	VERB
bibechana-11681	16	7	to	to	PART
bibechana-11681	16	8	occupy	occupy	VERB
bibechana-11681	16	9	the	the	DET
bibechana-11681	16	10	central	central	ADJ
bibechana-11681	16	11	place	place	NOUN
bibechana-11681	16	12	in	in	ADP
bibechana-11681	16	13	design	design	NOUN
bibechana-11681	16	14	and	and	CCONJ
bibechana-11681	16	15	analysis	analysis	NOUN
bibechana-11681	16	16	.	.	PUNCT
bibechana-11681	17	1	however	however	ADV
bibechana-11681	17	2	,	,	PUNCT
bibechana-11681	17	3	the	the	DET
bibechana-11681	17	4	accuracy	accuracy	NOUN
bibechana-11681	17	5	is	be	AUX
bibechana-11681	17	6	all	all	ADV
bibechana-11681	17	7	important	important	ADJ
bibechana-11681	17	8	and	and	CCONJ
bibechana-11681	17	9	may	may	AUX
bibechana-11681	17	10	not	not	PART
bibechana-11681	17	11	be	be	AUX
bibechana-11681	17	12	sacrificed	sacrifice	VERB
bibechana-11681	17	13	every	every	DET
bibechana-11681	17	14	time	time	NOUN
bibechana-11681	17	15	.	.	PUNCT
bibechana-11681	18	1	non	non	PRON
bibechana-11681	18	2	programmable	programmable	ADJ
bibechana-11681	18	3	scientific	scientific	ADJ
bibechana-11681	18	4	calculators	calculator	NOUN
bibechana-11681	18	5	are	be	AUX
bibechana-11681	18	6	a	a	DET
bibechana-11681	18	7	handy	handy	ADJ
bibechana-11681	18	8	tool	tool	NOUN
bibechana-11681	18	9	the	the	DET
bibechana-11681	18	10	engineering	engineering	NOUN
bibechana-11681	18	11	students	student	NOUN
bibechana-11681	18	12	usually	usually	ADV
bibechana-11681	18	13	are	be	AUX
bibechana-11681	18	14	equipped	equip	VERB
bibechana-11681	18	15	with	with	ADP
bibechana-11681	18	16	.	.	PUNCT
bibechana-11681	19	1	but	but	CCONJ
bibechana-11681	19	2	it	it	PRON
bibechana-11681	19	3	is	be	AUX
bibechana-11681	19	4	observed	observe	VERB
bibechana-11681	19	5	that	that	SCONJ
bibechana-11681	19	6	unskil	unskil	PROPN
bibechana-11681	19	7	lful	lful	ADJ
bibechana-11681	19	8	use	use	NOUN
bibechana-11681	19	9	of	of	ADP
bibechana-11681	19	10	the	the	DET
bibechana-11681	19	11	calculator	calculator	NOUN
bibechana-11681	19	12	leads	lead	VERB
bibechana-11681	19	13	to	to	ADP
bibechana-11681	19	14	the	the	DET
bibechana-11681	19	15	adoption	adoption	NOUN
bibechana-11681	19	16	of	of	ADP
bibechana-11681	19	17	yasin./	yasin./	PROPN
bibechana-11681	19	18	bibechana	bibechana	PROPN
bibechana-11681	19	19	12	12	NUM
bibechana-11681	19	20	(	(	PUNCT
bibechana-11681	19	21	2015	2015	NUM
bibechana-11681	19	22	)	)	PUNCT
bibechana-11681	19	23	13	13	NUM
bibechana-11681	19	24	-	-	SYM
bibechana-11681	19	25	19	19	NUM
bibechana-11681	19	26	:	:	PUNCT
bibechana-11681	20	1	p.	p.	NOUN
bibechana-11681	20	2	14	14	NUM
bibechana-11681	20	3	cumbersome	cumbersome	ADJ
bibechana-11681	20	4	computational	computational	ADJ
bibechana-11681	20	5	procedures	procedure	NOUN
bibechana-11681	20	6	,	,	PUNCT
bibechana-11681	20	7	which	which	PRON
bibechana-11681	20	8	unfortunately	unfortunately	ADV
bibechana-11681	20	9	leads	lead	VERB
bibechana-11681	20	10	to	to	ADP
bibechana-11681	20	11	the	the	DET
bibechana-11681	20	12	failure	failure	NOUN
bibechana-11681	20	13	in	in	ADP
bibechana-11681	20	14	maintaining	maintain	VERB
bibechana-11681	20	15	interest	interest	NOUN
bibechana-11681	20	16	in	in	ADP
bibechana-11681	20	17	computation	computation	NOUN
bibechana-11681	20	18	[	[	X
bibechana-11681	20	19	2	2	NUM
bibechana-11681	20	20	]	]	PUNCT
bibechana-11681	20	21	.	.	PUNCT
bibechana-11681	21	1	here	here	ADV
bibechana-11681	21	2	in	in	ADP
bibechana-11681	21	3	this	this	DET
bibechana-11681	21	4	work	work	NOUN
bibechana-11681	21	5	,	,	PUNCT
bibechana-11681	21	6	the	the	DET
bibechana-11681	21	7	discrete	discrete	ADJ
bibechana-11681	21	8	fourier	fourier	NOUN
bibechana-11681	21	9	transform	transform	NOUN
bibechana-11681	21	10	(	(	PUNCT
bibechana-11681	21	11	dft	dft	NOUN
bibechana-11681	21	12	)	)	PUNCT
bibechana-11681	21	13	computation	computation	NOUN
bibechana-11681	21	14	is	be	AUX
bibechana-11681	21	15	presented	present	VERB
bibechana-11681	21	16	,	,	PUNCT
bibechana-11681	21	17	which	which	PRON
bibechana-11681	21	18	normally	normally	ADV
bibechana-11681	21	19	demands	demand	VERB
bibechana-11681	21	20	a	a	DET
bibechana-11681	21	21	good	good	ADJ
bibechana-11681	21	22	some	some	PRON
bibechana-11681	21	23	of	of	ADP
bibechana-11681	21	24	mathematical	mathematical	ADJ
bibechana-11681	21	25	calculations	calculation	NOUN
bibechana-11681	21	26	,	,	PUNCT
bibechana-11681	21	27	usually	usually	ADV
bibechana-11681	21	28	involving	involve	VERB
bibechana-11681	21	29	complex	complex	ADJ
bibechana-11681	21	30	numbers	number	NOUN
bibechana-11681	21	31	.	.	PUNCT
bibechana-11681	22	1	computation	computation	NOUN
bibechana-11681	22	2	with	with	ADP
bibechana-11681	22	3	complex	complex	ADJ
bibechana-11681	22	4	numbers	number	NOUN
bibechana-11681	22	5	is	be	AUX
bibechana-11681	22	6	as	as	ADV
bibechana-11681	22	7	easy	easy	ADJ
bibechana-11681	22	8	a	a	DET
bibechana-11681	22	9	task	task	NOUN
bibechana-11681	22	10	as	as	ADP
bibechana-11681	22	11	the	the	DET
bibechana-11681	22	12	computation	computation	NOUN
bibechana-11681	22	13	with	with	ADP
bibechana-11681	22	14	real	real	ADJ
bibechana-11681	22	15	numbers	number	NOUN
bibechana-11681	22	16	[	[	X
bibechana-11681	22	17	3	3	NUM
bibechana-11681	22	18	]	]	PUNCT
bibechana-11681	22	19	,	,	PUNCT
bibechana-11681	22	20	and	and	CCONJ
bibechana-11681	22	21	hence	hence	ADV
bibechana-11681	22	22	the	the	DET
bibechana-11681	22	23	dft	dft	NOUN
bibechana-11681	22	24	of	of	ADP
bibechana-11681	22	25	a	a	DET
bibechana-11681	22	26	function	function	NOUN
bibechana-11681	22	27	can	can	AUX
bibechana-11681	22	28	also	also	ADV
bibechana-11681	22	29	be	be	AUX
bibechana-11681	22	30	easily	easily	ADV
bibechana-11681	22	31	computed	compute	VERB
bibechana-11681	22	32	.	.	PUNCT
bibechana-11681	23	1	2	2	X
bibechana-11681	23	2	.	.	X
bibechana-11681	23	3	fourier	fourier	NOUN
bibechana-11681	23	4	analysis	analysis	NOUN
bibechana-11681	23	5	fourier	fourier	NOUN
bibechana-11681	23	6	analysis	analysis	NOUN
bibechana-11681	23	7	expands	expand	VERB
bibechana-11681	23	8	a	a	DET
bibechana-11681	23	9	periodic	periodic	ADJ
bibechana-11681	23	10	function	function	NOUN
bibechana-11681	23	11	in	in	ADP
bibechana-11681	23	12	terms	term	NOUN
bibechana-11681	23	13	of	of	ADP
bibechana-11681	23	14	the	the	DET
bibechana-11681	23	15	sum	sum	NOUN
bibechana-11681	23	16	of	of	ADP
bibechana-11681	23	17	simple	simple	ADJ
bibechana-11681	23	18	circular	circular	ADJ
bibechana-11681	23	19	functions	function	NOUN
bibechana-11681	23	20	.	.	PUNCT
bibechana-11681	24	1	it	it	PRON
bibechana-11681	24	2	finds	find	VERB
bibechana-11681	24	3	applications	application	NOUN
bibechana-11681	24	4	in	in	ADP
bibechana-11681	24	5	engineering	engineering	NOUN
bibechana-11681	24	6	systems	system	NOUN
bibechana-11681	24	7	analysis	analysis	NOUN
bibechana-11681	24	8	,	,	PUNCT
bibechana-11681	24	9	mathematical	mathematical	ADJ
bibechana-11681	24	10	analysis	analysis	NOUN
bibechana-11681	24	11	,	,	PUNCT
bibechana-11681	24	12	mechanics	mechanic	NOUN
bibechana-11681	24	13	,	,	PUNCT
bibechana-11681	24	14	audio	audio	NOUN
bibechana-11681	24	15	and	and	CCONJ
bibechana-11681	24	16	video	video	NOUN
bibechana-11681	24	17	signal	signal	NOUN
bibechana-11681	24	18	processing	processing	NOUN
bibechana-11681	24	19	.	.	PUNCT
bibechana-11681	25	1	it	it	PRON
bibechana-11681	25	2	is	be	AUX
bibechana-11681	25	3	considered	consider	VERB
bibechana-11681	25	4	more	more	ADV
bibechana-11681	25	5	versatile	versatile	ADJ
bibechana-11681	25	6	than	than	ADP
bibechana-11681	25	7	taylor	taylor	PROPN
bibechana-11681	25	8	series	series	PROPN
bibechana-11681	25	9	,	,	PUNCT
bibechana-11681	25	10	as	as	SCONJ
bibechana-11681	25	11	it	it	PRON
bibechana-11681	25	12	can	can	AUX
bibechana-11681	25	13	expand	expand	VERB
bibechana-11681	25	14	many	many	ADJ
bibechana-11681	25	15	discontinuous	discontinuous	ADJ
bibechana-11681	25	16	functions	function	NOUN
bibechana-11681	25	17	of	of	ADP
bibechana-11681	25	18	practical	practical	ADJ
bibechana-11681	25	19	interest	interest	NOUN
bibechana-11681	26	1	[	[	X
bibechana-11681	26	2	4	4	NUM
bibechana-11681	26	3	]	]	PUNCT
bibechana-11681	26	4	.	.	PUNCT
bibechana-11681	27	1	different	different	ADJ
bibechana-11681	27	2	versions	version	NOUN
bibechana-11681	27	3	of	of	ADP
bibechana-11681	27	4	fourier	fourier	ADJ
bibechana-11681	27	5	analysis	analysis	NOUN
bibechana-11681	27	6	practically	practically	ADV
bibechana-11681	27	7	exist	exist	VERB
bibechana-11681	27	8	,	,	PUNCT
bibechana-11681	27	9	for	for	ADP
bibechana-11681	27	10	periodic	periodic	ADJ
bibechana-11681	27	11	and	and	CCONJ
bibechana-11681	27	12	non	non	ADJ
bibechana-11681	27	13	periodic	periodic	ADJ
bibechana-11681	27	14	functions	function	NOUN
bibechana-11681	27	15	,	,	PUNCT
bibechana-11681	27	16	which	which	PRON
bibechana-11681	27	17	may	may	AUX
bibechana-11681	27	18	be	be	AUX
bibechana-11681	27	19	continuous	continuous	ADJ
bibechana-11681	27	20	or	or	CCONJ
bibechana-11681	27	21	discrete	discrete	ADJ
bibechana-11681	27	22	.	.	PUNCT
bibechana-11681	28	1	fourier	fourier	PROPN
bibechana-11681	28	2	series	series	PROPN
bibechana-11681	28	3	is	be	AUX
bibechana-11681	28	4	used	use	VERB
bibechana-11681	28	5	for	for	ADP
bibechana-11681	28	6	periodic	periodic	ADJ
bibechana-11681	28	7	functions	function	NOUN
bibechana-11681	28	8	whereas	whereas	SCONJ
bibechana-11681	28	9	fourier	fourier	NOUN
bibechana-11681	28	10	transforms	transform	NOUN
bibechana-11681	28	11	are	be	AUX
bibechana-11681	28	12	used	use	VERB
bibechana-11681	28	13	for	for	ADP
bibechana-11681	28	14	aperiodic	aperiodic	ADJ
bibechana-11681	28	15	functions	function	NOUN
bibechana-11681	28	16	.	.	PUNCT
bibechana-11681	29	1	it	it	PRON
bibechana-11681	29	2	is	be	AUX
bibechana-11681	29	3	of	of	ADP
bibechana-11681	29	4	particular	particular	ADJ
bibechana-11681	29	5	importance	importance	NOUN
bibechana-11681	29	6	that	that	SCONJ
bibechana-11681	29	7	when	when	SCONJ
bibechana-11681	29	8	a	a	DET
bibechana-11681	29	9	discrete	discrete	ADJ
bibechana-11681	29	10	function	function	NOUN
bibechana-11681	29	11	of	of	ADP
bibechana-11681	29	12	finite	finite	ADJ
bibechana-11681	29	13	sample	sample	NOUN
bibechana-11681	29	14	length	length	NOUN
bibechana-11681	29	15	is	be	AUX
bibechana-11681	29	16	analyzed	analyze	VERB
bibechana-11681	29	17	,	,	PUNCT
bibechana-11681	29	18	the	the	DET
bibechana-11681	29	19	corresponding	corresponding	ADJ
bibechana-11681	29	20	fourier	fourier	NOUN
bibechana-11681	29	21	transform	transform	NOUN
bibechana-11681	29	22	is	be	AUX
bibechana-11681	29	23	also	also	ADV
bibechana-11681	29	24	discrete	discrete	ADJ
bibechana-11681	29	25	.	.	PUNCT
bibechana-11681	30	1	such	such	DET
bibechana-11681	30	2	a	a	DET
bibechana-11681	30	3	function	function	NOUN
bibechana-11681	30	4	has	have	VERB
bibechana-11681	30	5	both	both	CCONJ
bibechana-11681	30	6	the	the	DET
bibechana-11681	30	7	fourier	fourier	ADJ
bibechana-11681	30	8	series	series	NOUN
bibechana-11681	30	9	and	and	CCONJ
bibechana-11681	30	10	fourier	fourier	NOUN
bibechana-11681	30	11	transforms	transform	VERB
bibechana-11681	30	12	similar	similar	ADJ
bibechana-11681	30	13	[	[	X
bibechana-11681	30	14	5	5	NUM
bibechana-11681	30	15	]	]	PUNCT
bibechana-11681	30	16	.	.	PUNCT
bibechana-11681	31	1	let	let	VERB
bibechana-11681	31	2	{	{	PUNCT
bibechana-11681	31	3	x[n]}be	x[n]}be	NOUN
bibechana-11681	31	4	an	an	DET
bibechana-11681	31	5	aperiodic	aperiodic	ADJ
bibechana-11681	31	6	finite	finite	ADJ
bibechana-11681	31	7	energy	energy	NOUN
bibechana-11681	31	8	sequence	sequence	NOUN
bibechana-11681	31	9	of	of	ADP
bibechana-11681	31	10	sample	sample	NOUN
bibechana-11681	31	11	length	length	NOUN
bibechana-11681	31	12	n	n	PROPN
bibechana-11681	31	13	,	,	PUNCT
bibechana-11681	31	14	x[n	x[n	PROPN
bibechana-11681	31	15	]	]	PUNCT
bibechana-11681	31	16	being	be	AUX
bibechana-11681	31	17	a	a	DET
bibechana-11681	31	18	discrete	discrete	ADJ
bibechana-11681	31	19	function	function	NOUN
bibechana-11681	31	20	,	,	PUNCT
bibechana-11681	31	21	‘	'	PUNCT
bibechana-11681	31	22	n	n	CCONJ
bibechana-11681	31	23	’	'	PUNCT
bibechana-11681	31	24	being	be	AUX
bibechana-11681	31	25	integer	integer	NOUN
bibechana-11681	31	26	and	and	CCONJ
bibechana-11681	31	27	is	be	AUX
bibechana-11681	31	28	uniformly	uniformly	ADV
bibechana-11681	31	29	spaced	space	VERB
bibechana-11681	31	30	in	in	ADP
bibechana-11681	31	31	time	time	NOUN
bibechana-11681	31	32	.	.	PUNCT
bibechana-11681	32	1	actually	actually	ADV
bibechana-11681	32	2	the	the	DET
bibechana-11681	32	3	independent	independent	ADJ
bibechana-11681	32	4	variable	variable	NOUN
bibechana-11681	32	5	n	n	ADV
bibechana-11681	32	6	being	be	AUX
bibechana-11681	32	7	‘	'	PUNCT
bibechana-11681	32	8	nt	nt	ADJ
bibechana-11681	32	9	’	'	PUNCT
bibechana-11681	32	10	,	,	PUNCT
bibechana-11681	32	11	t	t	PROPN
bibechana-11681	32	12	is	be	AUX
bibechana-11681	32	13	the	the	DET
bibechana-11681	32	14	time	time	NOUN
bibechana-11681	32	15	period	period	NOUN
bibechana-11681	32	16	of	of	ADP
bibechana-11681	32	17	sampling	sample	VERB
bibechana-11681	32	18	function	function	NOUN
bibechana-11681	32	19	,	,	PUNCT
bibechana-11681	32	20	though	though	SCONJ
bibechana-11681	32	21	t	t	PROPN
bibechana-11681	32	22	is	be	AUX
bibechana-11681	32	23	dropped	drop	VERB
bibechana-11681	32	24	for	for	ADP
bibechana-11681	32	25	the	the	DET
bibechana-11681	32	26	sake	sake	NOUN
bibechana-11681	32	27	of	of	ADP
bibechana-11681	32	28	simplicity	simplicity	NOUN
bibechana-11681	32	29	.	.	PUNCT
bibechana-11681	33	1	a	a	DET
bibechana-11681	33	2	periodic	periodic	ADJ
bibechana-11681	33	3	representation	representation	NOUN
bibechana-11681	33	4	of	of	ADP
bibechana-11681	33	5	the	the	DET
bibechana-11681	33	6	function	function	NOUN
bibechana-11681	33	7	x[n	x[n	PROPN
bibechana-11681	33	8	]	]	PUNCT
bibechana-11681	33	9	is	be	AUX
bibechana-11681	33	10	defined	define	VERB
bibechana-11681	33	11	by	by	ADP
bibechana-11681	33	12	∑	∑	PROPN
bibechana-11681	33	13	−=	−=	PROPN
bibechana-11681	33	14	∞	∞	PROPN
bibechana-11681	33	15	−∞=l	−∞=l	NOUN
bibechana-11681	33	16	p	p	X
bibechana-11681	33	17	lnnxnx	lnnxnx	NOUN
bibechana-11681	33	18	)	)	PUNCT
bibechana-11681	33	19	(	(	PUNCT
bibechana-11681	33	20	)	)	PUNCT
bibechana-11681	33	21	(	(	PUNCT
bibechana-11681	33	22	(	(	PUNCT
bibechana-11681	33	23	1	1	X
bibechana-11681	33	24	)	)	PUNCT
bibechana-11681	33	25	fourier	fourier	NOUN
bibechana-11681	33	26	series	series	NOUN
bibechana-11681	33	27	representation	representation	NOUN
bibechana-11681	33	28	of	of	ADP
bibechana-11681	33	29	(	(	PUNCT
bibechana-11681	33	30	1	1	NUM
bibechana-11681	33	31	)	)	PUNCT
bibechana-11681	33	32	over	over	ADP
bibechana-11681	33	33	n	n	ADP
bibechana-11681	33	34	samples	sample	NOUN
bibechana-11681	33	35	can	can	AUX
bibechana-11681	33	36	be	be	AUX
bibechana-11681	33	37	given	give	VERB
bibechana-11681	33	38	by	by	ADP
bibechana-11681	33	39	the	the	DET
bibechana-11681	33	40	following	follow	VERB
bibechana-11681	33	41	synthesis	synthesis	NOUN
bibechana-11681	33	42	–	–	PUNCT
bibechana-11681	33	43	analysis	analysis	NOUN
bibechana-11681	33	44	pair	pair	NOUN
bibechana-11681	33	45	.	.	PUNCT
bibechana-11681	34	1	∑	∑	PUNCT
bibechana-11681	35	1	−≤≤=	−≤≤=	X
bibechana-11681	35	2	−	−	PROPN
bibechana-11681	36	1	=	=	SYM
bibechana-11681	36	2	−1	−1	NOUN
bibechana-11681	36	3	0	0	NUM
bibechana-11681	36	4	2	2	NUM
bibechana-11681	36	5	10	10	NUM
bibechana-11681	36	6	)	)	PUNCT
bibechana-11681	36	7	(	(	PUNCT
bibechana-11681	36	8	1	1	NUM
bibechana-11681	36	9	n	n	CCONJ
bibechana-11681	36	10	n	n	NOUN
bibechana-11681	36	11	nk	nk	PROPN
bibechana-11681	36	12	n	n	PROPN
bibechana-11681	36	13	j	j	PROPN
bibechana-11681	36	14	pk	pk	NOUN
bibechana-11681	36	15	nkenx	nkenx	NOUN
bibechana-11681	37	1	n	n	INTJ
bibechana-11681	37	2	c	c	NOUN
bibechana-11681	37	3	π	π	X
bibechana-11681	37	4	(	(	PUNCT
bibechana-11681	37	5	2	2	NUM
bibechana-11681	37	6	)	)	PUNCT
bibechana-11681	37	7	∑	∑	PUNCT
bibechana-11681	37	8	∞<<−∞=	∞<<−∞=	VERB
bibechana-11681	37	9	−	−	PROPN
bibechana-11681	37	10	=	=	SYM
bibechana-11681	37	11	1	1	NUM
bibechana-11681	37	12	0	0	NUM
bibechana-11681	37	13	2	2	NUM
bibechana-11681	37	14	)	)	PUNCT
bibechana-11681	37	15	(	(	PUNCT
bibechana-11681	37	16	n	n	X
bibechana-11681	37	17	k	k	PROPN
bibechana-11681	37	18	nk	nk	PROPN
bibechana-11681	37	19	n	n	PROPN
bibechana-11681	37	20	j	j	PROPN
bibechana-11681	37	21	kp	kp	PROPN
bibechana-11681	37	22	necnx	necnx	PROPN
bibechana-11681	37	23	π	π	PROPN
bibechana-11681	37	24	(	(	PUNCT
bibechana-11681	37	25	3	3	NUM
bibechana-11681	37	26	)	)	PUNCT
bibechana-11681	37	27	similarly	similarly	ADV
bibechana-11681	37	28	the	the	DET
bibechana-11681	37	29	fourier	fourier	NOUN
bibechana-11681	37	30	transform	transform	VERB
bibechana-11681	37	31	pair	pair	NOUN
bibechana-11681	37	32	for	for	ADP
bibechana-11681	37	33	the	the	DET
bibechana-11681	37	34	finite	finite	ADJ
bibechana-11681	37	35	sequence	sequence	NOUN
bibechana-11681	37	36	{	{	PUNCT
bibechana-11681	37	37	x(n	x(n	NOUN
bibechana-11681	37	38	)	)	PUNCT
bibechana-11681	37	39	}	}	PUNCT
bibechana-11681	37	40	can	can	AUX
bibechana-11681	37	41	be	be	AUX
bibechana-11681	37	42	given	give	VERB
bibechana-11681	37	43	by	by	ADP
bibechana-11681	37	44	.	.	PUNCT
bibechana-11681	38	1	∑	∑	PUNCT
bibechana-11681	39	1	−≤≤=	−≤≤=	X
bibechana-11681	40	1	−	−	PROPN
bibechana-11681	41	1	=	=	SYM
bibechana-11681	41	2	−1	−1	NOUN
bibechana-11681	41	3	0	0	NUM
bibechana-11681	41	4	2	2	NUM
bibechana-11681	41	5	10	10	NUM
bibechana-11681	41	6	)	)	PUNCT
bibechana-11681	41	7	(	(	PUNCT
bibechana-11681	41	8	)	)	PUNCT
bibechana-11681	41	9	(	(	PUNCT
bibechana-11681	41	10	n	n	CCONJ
bibechana-11681	41	11	n	n	CCONJ
bibechana-11681	41	12	nk	nk	PROPN
bibechana-11681	41	13	n	n	PROPN
bibechana-11681	41	14	j	j	PROPN
bibechana-11681	41	15	nkenxkx	nkenxkx	PROPN
bibechana-11681	41	16	π	π	PROPN
bibechana-11681	41	17	(	(	PUNCT
bibechana-11681	41	18	4	4	NUM
bibechana-11681	41	19	)	)	PUNCT
bibechana-11681	41	20	∑	∑	NOUN
bibechana-11681	41	21	−≤≤=	−≤≤=	X
bibechana-11681	41	22	−	−	PROPN
bibechana-11681	42	1	=	=	NOUN
bibechana-11681	43	1	1	1	NUM
bibechana-11681	43	2	0	0	NUM
bibechana-11681	43	3	2	2	NUM
bibechana-11681	43	4	10	10	NUM
bibechana-11681	43	5	)	)	PUNCT
bibechana-11681	43	6	(	(	PUNCT
bibechana-11681	43	7	1	1	NUM
bibechana-11681	43	8	)	)	PUNCT
bibechana-11681	43	9	(	(	PUNCT
bibechana-11681	43	10	n	n	X
bibechana-11681	43	11	k	k	PROPN
bibechana-11681	43	12	nk	nk	PROPN
bibechana-11681	43	13	n	n	PROPN
bibechana-11681	43	14	j	j	PROPN
bibechana-11681	43	15	nnekx	nnekx	PROPN
bibechana-11681	43	16	n	n	PROPN
bibechana-11681	43	17	nx	nx	PROPN
bibechana-11681	43	18	π	π	PROPN
bibechana-11681	43	19	(	(	PUNCT
bibechana-11681	43	20	5	5	NUM
bibechana-11681	43	21	)	)	PUNCT
bibechana-11681	43	22	comparing	compare	VERB
bibechana-11681	43	23	the	the	DET
bibechana-11681	43	24	pairs	pair	NOUN
bibechana-11681	43	25	of	of	ADP
bibechana-11681	43	26	equations	equation	NOUN
bibechana-11681	43	27	(	(	PUNCT
bibechana-11681	43	28	2	2	NUM
bibechana-11681	43	29	)	)	PUNCT
bibechana-11681	43	30	–	–	PUNCT
bibechana-11681	43	31	(	(	PUNCT
bibechana-11681	43	32	3	3	X
bibechana-11681	43	33	)	)	PUNCT
bibechana-11681	43	34	and	and	CCONJ
bibechana-11681	43	35	(	(	PUNCT
bibechana-11681	43	36	4	4	NUM
bibechana-11681	43	37	)	)	PUNCT
bibechana-11681	43	38	–	–	PUNCT
bibechana-11681	43	39	(	(	PUNCT
bibechana-11681	43	40	5	5	NUM
bibechana-11681	43	41	)	)	PUNCT
bibechana-11681	43	42	,	,	PUNCT
bibechana-11681	43	43	it	it	PRON
bibechana-11681	43	44	is	be	AUX
bibechana-11681	43	45	evident	evident	ADJ
bibechana-11681	43	46	that	that	SCONJ
bibechana-11681	43	47	the	the	DET
bibechana-11681	43	48	fourier	fourier	NOUN
bibechana-11681	43	49	transform	transform	NOUN
bibechana-11681	43	50	of	of	ADP
bibechana-11681	43	51	the	the	DET
bibechana-11681	43	52	aperiodic	aperiodic	ADJ
bibechana-11681	43	53	sequence	sequence	NOUN
bibechana-11681	43	54	{	{	PUNCT
bibechana-11681	43	55	x(n	x(n	NOUN
bibechana-11681	43	56	)	)	PUNCT
bibechana-11681	43	57	}	}	PUNCT
bibechana-11681	43	58	of	of	ADP
bibechana-11681	43	59	length	length	NOUN
bibechana-11681	43	60	n	n	CCONJ
bibechana-11681	43	61	,	,	PUNCT
bibechana-11681	43	62	and	and	CCONJ
bibechana-11681	43	63	its	its	PRON
bibechana-11681	43	64	periodically	periodically	ADV
bibechana-11681	43	65	expressed	express	VERB
bibechana-11681	43	66	sequence	sequence	NOUN
bibechana-11681	43	67	{	{	PUNCT
bibechana-11681	43	68	xp(n)}can	xp(n)}can	NOUN
bibechana-11681	43	69	be	be	AUX
bibechana-11681	43	70	defined	define	VERB
bibechana-11681	43	71	by	by	ADP
bibechana-11681	43	72	one	one	NUM
bibechana-11681	43	73	another	another	DET
bibechana-11681	43	74	,	,	PUNCT
bibechana-11681	43	75	as	as	ADP
bibechana-11681	43	76	below	below	ADV
bibechana-11681	43	77	:	:	PUNCT
bibechana-11681	43	78	yasin./	yasin./	NOUN
bibechana-11681	43	79	bibechana	bibechana	NOUN
bibechana-11681	43	80	12	12	NUM
bibechana-11681	43	81	(	(	PUNCT
bibechana-11681	43	82	2015	2015	NUM
bibechana-11681	43	83	)	)	PUNCT
bibechana-11681	43	84	13	13	NUM
bibechana-11681	43	85	-	-	SYM
bibechana-11681	43	86	19	19	NUM
bibechana-11681	43	87	:	:	PUNCT
bibechana-11681	43	88	p.	p.	NOUN
bibechana-11681	43	89	15	15	NUM
bibechana-11681	44	1	knckx	knckx	NOUN
bibechana-11681	44	2	=)	=)	PROPN
bibechana-11681	44	3	(	(	PUNCT
bibechana-11681	44	4	(	(	PUNCT
bibechana-11681	44	5	6	6	NUM
bibechana-11681	44	6	)	)	PUNCT
bibechana-11681	44	7	this	this	DET
bibechana-11681	44	8	type	type	NOUN
bibechana-11681	44	9	of	of	ADP
bibechana-11681	44	10	analysis	analysis	NOUN
bibechana-11681	44	11	requires	require	VERB
bibechana-11681	44	12	a	a	DET
bibechana-11681	44	13	set	set	NOUN
bibechana-11681	44	14	of	of	ADP
bibechana-11681	44	15	cumbersome	cumbersome	ADJ
bibechana-11681	44	16	computations	computation	NOUN
bibechana-11681	44	17	as	as	SCONJ
bibechana-11681	44	18	it	it	PRON
bibechana-11681	44	19	involves	involve	VERB
bibechana-11681	44	20	complex	complex	ADJ
bibechana-11681	44	21	numbers	number	NOUN
bibechana-11681	44	22	.	.	PUNCT
bibechana-11681	45	1	the	the	DET
bibechana-11681	45	2	equations	equation	NOUN
bibechana-11681	45	3	(	(	PUNCT
bibechana-11681	45	4	2	2	NUM
bibechana-11681	45	5	–	–	SYM
bibechana-11681	45	6	5	5	NUM
bibechana-11681	45	7	)	)	PUNCT
bibechana-11681	45	8	are	be	AUX
bibechana-11681	45	9	in	in	ADP
bibechana-11681	45	10	fact	fact	NOUN
bibechana-11681	45	11	n	n	ADP
bibechana-11681	45	12	equations	equation	NOUN
bibechana-11681	45	13	each	each	DET
bibechana-11681	45	14	one	one	NUM
bibechana-11681	45	15	containing	contain	VERB
bibechana-11681	45	16	n	n	PRON
bibechana-11681	45	17	terms	term	NOUN
bibechana-11681	45	18	with	with	ADP
bibechana-11681	45	19	a	a	DET
bibechana-11681	45	20	weight	weight	NOUN
bibechana-11681	45	21	nk	nk	PROPN
bibechana-11681	45	22	n	n	PROPN
bibechana-11681	45	23	j	j	PROPN
bibechana-11681	45	24	e	e	X
bibechana-11681	45	25	π2	π2	X
bibechana-11681	45	26	±	±	NOUN
bibechana-11681	45	27	but	but	CCONJ
bibechana-11681	45	28	in	in	ADP
bibechana-11681	45	29	practical	practical	ADJ
bibechana-11681	45	30	computations	computation	NOUN
bibechana-11681	45	31	,	,	PUNCT
bibechana-11681	45	32	a	a	DET
bibechana-11681	45	33	little	little	ADJ
bibechana-11681	45	34	manipulation	manipulation	NOUN
bibechana-11681	45	35	can	can	AUX
bibechana-11681	45	36	lead	lead	VERB
bibechana-11681	45	37	to	to	ADP
bibechana-11681	45	38	simpler	simple	ADJ
bibechana-11681	45	39	computations	computation	NOUN
bibechana-11681	45	40	for	for	ADP
bibechana-11681	45	41	the	the	DET
bibechana-11681	45	42	above	above	ADJ
bibechana-11681	45	43	analysis	analysis	NOUN
bibechana-11681	45	44	,	,	PUNCT
bibechana-11681	45	45	which	which	PRON
bibechana-11681	45	46	can	can	AUX
bibechana-11681	45	47	be	be	AUX
bibechana-11681	45	48	run	run	VERB
bibechana-11681	45	49	on	on	ADP
bibechana-11681	45	50	a	a	DET
bibechana-11681	45	51	simple	simple	ADJ
bibechana-11681	45	52	non	non	ADJ
bibechana-11681	45	53	-	-	ADJ
bibechana-11681	45	54	programmable	programmable	ADJ
bibechana-11681	45	55	calculator	calculator	NOUN
bibechana-11681	45	56	.	.	PUNCT
bibechana-11681	46	1	here	here	ADV
bibechana-11681	46	2	it	it	PRON
bibechana-11681	46	3	is	be	AUX
bibechana-11681	46	4	demonstrated	demonstrate	VERB
bibechana-11681	46	5	through	through	ADP
bibechana-11681	46	6	an	an	DET
bibechana-11681	46	7	example	example	NOUN
bibechana-11681	46	8	,	,	PUNCT
bibechana-11681	46	9	how	how	SCONJ
bibechana-11681	46	10	this	this	PRON
bibechana-11681	46	11	can	can	AUX
bibechana-11681	46	12	be	be	AUX
bibechana-11681	46	13	accomplished	accomplish	VERB
bibechana-11681	46	14	with	with	ADP
bibechana-11681	46	15	affordable	affordable	ADJ
bibechana-11681	46	16	simple	simple	ADJ
bibechana-11681	46	17	equation(s	equation(s	PROPN
bibechana-11681	46	18	)	)	PUNCT
bibechana-11681	46	19	.	.	PUNCT
bibechana-11681	47	1	6	6	NUM
bibechana-11681	47	2	point	point	NOUN
bibechana-11681	47	3	analysis	analysis	NOUN
bibechana-11681	47	4	of	of	ADP
bibechana-11681	47	5	an	an	DET
bibechana-11681	47	6	arbitrary	arbitrary	ADJ
bibechana-11681	47	7	sequence	sequence	NOUN
bibechana-11681	47	8	x(n	x(n	NOUN
bibechana-11681	47	9	)	)	PUNCT
bibechana-11681	47	10	=	=	PRON
bibechana-11681	47	11	{	{	PUNCT
bibechana-11681	47	12	2	2	NUM
bibechana-11681	47	13	,	,	PUNCT
bibechana-11681	47	14	1	1	NUM
bibechana-11681	47	15	,	,	PUNCT
bibechana-11681	47	16	-3	-3	INTJ
bibechana-11681	47	17	,	,	PUNCT
bibechana-11681	47	18	4	4	NUM
bibechana-11681	47	19	}	}	PUNCT
bibechana-11681	47	20	can	can	AUX
bibechana-11681	47	21	be	be	AUX
bibechana-11681	47	22	performed	perform	VERB
bibechana-11681	47	23	by	by	ADP
bibechana-11681	47	24	using	use	VERB
bibechana-11681	47	25	equation	equation	NOUN
bibechana-11681	47	26	(	(	PUNCT
bibechana-11681	47	27	4	4	NUM
bibechana-11681	47	28	)	)	PUNCT
bibechana-11681	47	29	.	.	PUNCT
bibechana-11681	48	1	∑=∑=	∑=∑=	PUNCT
bibechana-11681	48	2	=	=	PUNCT
bibechana-11681	48	3	−−	−−	NOUN
bibechana-11681	48	4	=	=	SYM
bibechana-11681	48	5	−	−	PROPN
bibechana-11681	48	6	5	5	NUM
bibechana-11681	48	7	0	0	NUM
bibechana-11681	48	8	3	3	NUM
bibechana-11681	48	9	1	1	NUM
bibechana-11681	48	10	0	0	NUM
bibechana-11681	48	11	2	2	NUM
bibechana-11681	48	12	)	)	PUNCT
bibechana-11681	48	13	(	(	PUNCT
bibechana-11681	48	14	)	)	PUNCT
bibechana-11681	48	15	(	(	PUNCT
bibechana-11681	48	16	)	)	PUNCT
bibechana-11681	48	17	(	(	PUNCT
bibechana-11681	48	18	n	n	CCONJ
bibechana-11681	48	19	nkjn	nkjn	VERB
bibechana-11681	48	20	n	n	VERB
bibechana-11681	48	21	nk	nk	PROPN
bibechana-11681	48	22	n	n	PROPN
bibechana-11681	48	23	j	j	PROPN
bibechana-11681	48	24	enxenxkx	enxenxkx	PROPN
bibechana-11681	48	25	ππ	ππ	ADP
bibechana-11681	48	26	(	(	PUNCT
bibechana-11681	48	27	7	7	NUM
bibechana-11681	48	28	)	)	PUNCT
bibechana-11681	48	29	5,4,3,2,1,0;4312	5,4,3,2,1,0;4312	NUM
bibechana-11681	48	30	)	)	PUNCT
bibechana-11681	48	31	(	(	PUNCT
bibechana-11681	48	32	3	3	NUM
bibechana-11681	48	33	3	3	NUM
bibechana-11681	48	34	2	2	NUM
bibechana-11681	48	35	33	33	NUM
bibechana-11681	48	36	=	=	SYM
bibechana-11681	48	37	+	+	NOUN
bibechana-11681	48	38	−+=	−+=	X
bibechana-11681	48	39	−−−	−−−	AUX
bibechana-11681	48	40	keeekx	keeekx	PROPN
bibechana-11681	48	41	kjkjkj	kjkjkj	PROPN
bibechana-11681	48	42	πππ	πππ	PROPN
bibechana-11681	49	1	(	(	PUNCT
bibechana-11681	49	2	8)	8)	NUM
bibechana-11681	49	3	the	the	DET
bibechana-11681	49	4	exponent	exponent	NOUN
bibechana-11681	49	5	of	of	ADP
bibechana-11681	49	6	(	(	PUNCT
bibechana-11681	49	7	7	7	NUM
bibechana-11681	49	8	)	)	PUNCT
bibechana-11681	49	9	,	,	PUNCT
bibechana-11681	49	10	could	could	AUX
bibechana-11681	49	11	be	be	AUX
bibechana-11681	49	12	expressed	express	VERB
bibechana-11681	49	13	in	in	ADP
bibechana-11681	49	14	calculator	calculator	NOUN
bibechana-11681	49	15	syntax	syntax	NOUN
bibechana-11681	49	16	.	.	PUNCT
bibechana-11681	50	1	(	(	PUNCT
bibechana-11681	50	2	)	)	PUNCT
bibechana-11681	50	3	nk	nk	PROPN
bibechana-11681	50	4	nknk	nknk	PROPN
bibechana-11681	50	5	jnkj	jnkj	PROPN
bibechana-11681	50	6	ee	ee	VERB
bibechana-11681	50	7	601	601	NUM
bibechana-11681	50	8	3	3	NUM
bibechana-11681	50	9	133	133	NUM
bibechana-11681	50	10	−∠=	−∠=	NOUN
bibechana-11681	50	11			PROPN
bibechana-11681	50	12			PROPN
bibechana-11681	50	13			PROPN
bibechana-11681	51	1			NOUN
bibechana-11681	51	2			VERB
bibechana-11681	51	3	−∠=	−∠=	NOUN
bibechana-11681	51	4			NOUN
bibechana-11681	51	5			PUNCT
bibechana-11681	52	1			PROPN
bibechana-11681	52	2			PROPN
bibechana-11681	52	3			NOUN
bibechana-11681	52	4			NOUN
bibechana-11681	52	5			NOUN
bibechana-11681	52	6	=	=	SYM
bibechana-11681	52	7	−−	−−	NOUN
bibechana-11681	52	8	πππ	πππ	ADJ
bibechana-11681	52	9	(	(	PUNCT
bibechana-11681	52	10	9	9	NUM
bibechana-11681	52	11	)	)	PUNCT
bibechana-11681	52	12	(	(	PUNCT
bibechana-11681	52	13	)	)	PUNCT
bibechana-11681	52	14	16013	16013	NUM
bibechana-11681	53	1	=	=	SYM
bibechana-11681	53	2	−∠=	−∠=	PROPN
bibechana-11681	53	3	−	−	PROPN
bibechana-11681	53	4	nk	nk	PROPN
bibechana-11681	53	5	nk	nk	PROPN
bibechana-11681	53	6	j	j	PROPN
bibechana-11681	53	7	e	e	PROPN
bibechana-11681	53	8	π	π	PROPN
bibechana-11681	53	9	(	(	PUNCT
bibechana-11681	53	10	10	10	NUM
bibechana-11681	53	11	)	)	PUNCT
bibechana-11681	53	12	(	(	PUNCT
bibechana-11681	53	13	)	)	PUNCT
bibechana-11681	53	14	(	(	PUNCT
bibechana-11681	53	15	)	)	PUNCT
bibechana-11681	53	16	m	m	VERB
bibechana-11681	53	17	m	m	VERB
bibechana-11681	53	18	601601	601601	NUM
bibechana-11681	53	19	−∠=−∠	−∠=−∠	SYM
bibechana-11681	53	20	(	(	PUNCT
bibechana-11681	53	21	11	11	NUM
bibechana-11681	53	22	)	)	PUNCT
bibechana-11681	53	23	using	use	VERB
bibechana-11681	53	24	equations	equation	NOUN
bibechana-11681	53	25	(	(	PUNCT
bibechana-11681	53	26	9	9	NUM
bibechana-11681	53	27	)	)	PUNCT
bibechana-11681	53	28	and	and	CCONJ
bibechana-11681	53	29	(	(	PUNCT
bibechana-11681	53	30	11	11	NUM
bibechana-11681	53	31	)	)	PUNCT
bibechana-11681	53	32	,	,	PUNCT
bibechana-11681	53	33	equation	equation	NOUN
bibechana-11681	53	34	(	(	PUNCT
bibechana-11681	53	35	8)	8)	NUM
bibechana-11681	53	36	can	can	AUX
bibechana-11681	53	37	be	be	AUX
bibechana-11681	53	38	rewritten	rewrite	VERB
bibechana-11681	53	39	as	as	ADP
bibechana-11681	53	40	fig	fig	NOUN
bibechana-11681	53	41	.	.	PUNCT
bibechana-11681	54	1	1	1	NUM
bibechana-11681	54	2	:	:	PUNCT
bibechana-11681	54	3	points	point	NOUN
bibechana-11681	54	4	of	of	ADP
bibechana-11681	54	5	dft	dft	PROPN
bibechana-11681	54	6	computation	computation	NOUN
bibechana-11681	54	7	uniformly	uniformly	ADV
bibechana-11681	54	8	placed	place	VERB
bibechana-11681	54	9	on	on	ADP
bibechana-11681	54	10	the	the	DET
bibechana-11681	54	11	unit	unit	NOUN
bibechana-11681	54	12	circle	circle	NOUN
bibechana-11681	54	13	,	,	PUNCT
bibechana-11681	54	14	alongwith	alongwith	NOUN
bibechana-11681	54	15	the	the	DET
bibechana-11681	54	16	points	point	NOUN
bibechana-11681	54	17	of	of	ADP
bibechana-11681	54	18	data	datum	NOUN
bibechana-11681	54	19	of	of	ADP
bibechana-11681	54	20	the	the	DET
bibechana-11681	54	21	function	function	NOUN
bibechana-11681	54	22	x(n	x(n	NOUN
bibechana-11681	54	23	)	)	PUNCT
bibechana-11681	54	24	mapped	map	VERB
bibechana-11681	54	25	to	to	ADP
bibechana-11681	54	26	the	the	DET
bibechana-11681	54	27	circle	circle	NOUN
bibechana-11681	54	28	.	.	PUNCT
bibechana-11681	55	1	(	(	PUNCT
bibechana-11681	55	2	)	)	PUNCT
bibechana-11681	55	3	(	(	PUNCT
bibechana-11681	55	4	)	)	PUNCT
bibechana-11681	55	5	(	(	PUNCT
bibechana-11681	55	6	)	)	PUNCT
bibechana-11681	55	7	kkk	kkk	PROPN
bibechana-11681	55	8	kx	kx	PROPN
bibechana-11681	55	9	kkk	kkk	PROPN
bibechana-11681	55	10	1801	1801	NUM
bibechana-11681	55	11	*	*	SYM
bibechana-11681	55	12	41201	41201	NUM
bibechana-11681	55	13	*	*	SYM
bibechana-11681	55	14	3601	3601	NUM
bibechana-11681	55	15	*	*	SYM
bibechana-11681	55	16	12	12	NUM
bibechana-11681	55	17	141201360112	141201360112	NUM
bibechana-11681	55	18	)	)	PUNCT
bibechana-11681	55	19	(	(	PUNCT
bibechana-11681	55	20	−∠+−∠−−∠+=	−∠+−∠−−∠+=	NOUN
bibechana-11681	55	21	−+−∠−−∠+=	−+−∠−−∠+=	NOUN
bibechana-11681	55	22	(	(	PUNCT
bibechana-11681	55	23	12	12	NUM
bibechana-11681	55	24	)	)	PUNCT
bibechana-11681	56	1	o601	o601	PRON
bibechana-11681	56	2	−∠	−∠	PROPN
bibechana-11681	57	1	o2401	o2401	NOUN
bibechana-11681	57	2	−∠	−∠	PROPN
bibechana-11681	58	1	o1801	o1801	ADJ
bibechana-11681	58	2	−∠	−∠	PROPN
bibechana-11681	59	1	o1201	o1201	VERB
bibechana-11681	59	2	−∠	−∠	PROPN
bibechana-11681	60	1	o3001	o3001	NUM
bibechana-11681	60	2	−∠	−∠	NOUN
bibechana-11681	60	3	o01∠	o01∠	PUNCT
bibechana-11681	60	4	)	)	PUNCT
bibechana-11681	60	5	0(x	0(x	NUM
bibechana-11681	60	6	)	)	PUNCT
bibechana-11681	60	7	1(x)2(x	1(x)2(x	NUM
bibechana-11681	60	8	)	)	PUNCT
bibechana-11681	60	9	3(x	3(x	NUM
bibechana-11681	60	10	)	)	PUNCT
bibechana-11681	60	11	4(x	4(x	NUM
bibechana-11681	60	12	)	)	PUNCT
bibechana-11681	61	1	5(x	5(x	NUM
bibechana-11681	61	2	yasin./	yasin./	NOUN
bibechana-11681	61	3	bibechana	bibechana	NOUN
bibechana-11681	61	4	12	12	NUM
bibechana-11681	61	5	(	(	PUNCT
bibechana-11681	61	6	2015	2015	NUM
bibechana-11681	61	7	)	)	PUNCT
bibechana-11681	61	8	13	13	NUM
bibechana-11681	61	9	-	-	SYM
bibechana-11681	61	10	19	19	NUM
bibechana-11681	61	11	:	:	PUNCT
bibechana-11681	61	12	p.	p.	NOUN
bibechana-11681	61	13	16	16	NUM
bibechana-11681	61	14	equation	equation	NOUN
bibechana-11681	61	15	(	(	PUNCT
bibechana-11681	61	16	12	12	NUM
bibechana-11681	61	17	)	)	PUNCT
bibechana-11681	61	18	can	can	AUX
bibechana-11681	61	19	be	be	AUX
bibechana-11681	61	20	implemented	implement	VERB
bibechana-11681	61	21	directly	directly	ADV
bibechana-11681	61	22	on	on	ADP
bibechana-11681	61	23	a	a	DET
bibechana-11681	61	24	calculator	calculator	NOUN
bibechana-11681	61	25	,	,	PUNCT
bibechana-11681	61	26	k	k	PROPN
bibechana-11681	61	27	replaced	replace	VERB
bibechana-11681	61	28	by	by	ADP
bibechana-11681	61	29	a	a	DET
bibechana-11681	61	30	memory	memory	NOUN
bibechana-11681	61	31	,	,	PUNCT
bibechana-11681	61	32	say	say	VERB
bibechana-11681	61	33	a	a	PRON
bibechana-11681	61	34	,	,	PUNCT
bibechana-11681	61	35	and	and	CCONJ
bibechana-11681	61	36	with	with	ADP
bibechana-11681	61	37	modes	mode	NOUN
bibechana-11681	61	38	be	be	AUX
bibechana-11681	61	39	set	set	VERB
bibechana-11681	61	40	cmplx	cmplx	NOUN
bibechana-11681	61	41	and	and	CCONJ
bibechana-11681	61	42	deg	deg	NOUN
bibechana-11681	61	43	.	.	PUNCT
bibechana-11681	62	1	once	once	SCONJ
bibechana-11681	62	2	the	the	DET
bibechana-11681	62	3	equation	equation	NOUN
bibechana-11681	62	4	(	(	PUNCT
bibechana-11681	62	5	12	12	NUM
bibechana-11681	62	6	)	)	PUNCT
bibechana-11681	62	7	is	be	AUX
bibechana-11681	62	8	fed	feed	VERB
bibechana-11681	62	9	,	,	PUNCT
bibechana-11681	62	10	the	the	DET
bibechana-11681	62	11	press	press	NOUN
bibechana-11681	62	12	of	of	ADP
bibechana-11681	62	13	the	the	DET
bibechana-11681	62	14	key	key	ADJ
bibechana-11681	62	15	calc	calc	NOUN
bibechana-11681	62	16	asks	ask	VERB
bibechana-11681	62	17	for	for	ADP
bibechana-11681	62	18	the	the	DET
bibechana-11681	62	19	value	value	NOUN
bibechana-11681	62	20	of	of	ADP
bibechana-11681	62	21	“	"	PUNCT
bibechana-11681	62	22	a	a	PRON
bibechana-11681	62	23	”	"	PUNCT
bibechana-11681	62	24	and	and	CCONJ
bibechana-11681	62	25	offers	offer	VERB
bibechana-11681	62	26	the	the	DET
bibechana-11681	62	27	corresponding	corresponding	ADJ
bibechana-11681	62	28	dft	dft	PROPN
bibechana-11681	62	29	component	component	NOUN
bibechana-11681	62	30	at	at	ADP
bibechana-11681	62	31	a	a	DET
bibechana-11681	62	32	consecutive	consecutive	ADJ
bibechana-11681	62	33	press	press	NOUN
bibechana-11681	62	34	of	of	ADP
bibechana-11681	62	35	the	the	DET
bibechana-11681	62	36	=	=	PUNCT
bibechana-11681	62	37	key	key	NOUN
bibechana-11681	62	38	.	.	PUNCT
bibechana-11681	63	1	the	the	DET
bibechana-11681	63	2	result	result	NOUN
bibechana-11681	63	3	is	be	AUX
bibechana-11681	63	4	presented	present	VERB
bibechana-11681	63	5	below	below	ADV
bibechana-11681	63	6	.	.	PUNCT
bibechana-11681	64	1	{	{	PUNCT
bibechana-11681	64	2	}	}	PUNCT
bibechana-11681	64	3	732.1,464.37,6,464.37,732.1,4	732.1,464.37,6,464.37,732.1,4	ADV
bibechana-11681	64	4	)	)	PUNCT
bibechana-11681	64	5	(	(	PUNCT
bibechana-11681	64	6	jjjjkx	jjjjkx	PROPN
bibechana-11681	64	7	−+−−=	−+−−=	PROPN
bibechana-11681	64	8	(	(	PUNCT
bibechana-11681	64	9	13	13	NUM
bibechana-11681	64	10	)	)	PUNCT
bibechana-11681	64	11	the	the	DET
bibechana-11681	64	12	process	process	NOUN
bibechana-11681	64	13	to	to	PART
bibechana-11681	64	14	approach	approach	VERB
bibechana-11681	64	15	equation	equation	NOUN
bibechana-11681	64	16	(	(	PUNCT
bibechana-11681	64	17	12	12	NUM
bibechana-11681	64	18	)	)	PUNCT
bibechana-11681	64	19	is	be	AUX
bibechana-11681	64	20	still	still	ADV
bibechana-11681	64	21	simple	simple	ADJ
bibechana-11681	64	22	and	and	CCONJ
bibechana-11681	64	23	can	can	AUX
bibechana-11681	64	24	also	also	ADV
bibechana-11681	64	25	be	be	AUX
bibechana-11681	64	26	written	write	VERB
bibechana-11681	64	27	by	by	ADP
bibechana-11681	64	28	considering	consider	VERB
bibechana-11681	64	29	the	the	DET
bibechana-11681	64	30	fact	fact	NOUN
bibechana-11681	64	31	that	that	SCONJ
bibechana-11681	64	32	the	the	DET
bibechana-11681	64	33	computation	computation	NOUN
bibechana-11681	64	34	points	point	NOUN
bibechana-11681	64	35	are	be	AUX
bibechana-11681	64	36	uniformly	uniformly	ADV
bibechana-11681	64	37	distributed	distribute	VERB
bibechana-11681	64	38	over	over	ADP
bibechana-11681	64	39	the	the	DET
bibechana-11681	64	40	circle	circle	NOUN
bibechana-11681	64	41	of	of	ADP
bibechana-11681	64	42	unit	unit	NOUN
bibechana-11681	64	43	radius	radius	NOUN
bibechana-11681	64	44	by	by	ADP
bibechana-11681	64	45	a	a	DET
bibechana-11681	64	46	phase	phase	NOUN
bibechana-11681	64	47	n	n	CCONJ
bibechana-11681	64	48	π2	π2	ADJ
bibechana-11681	64	49	radians	radian	NOUN
bibechana-11681	64	50	in	in	ADP
bibechana-11681	64	51	the	the	DET
bibechana-11681	64	52	π2	π2	ADJ
bibechana-11681	64	53	phase	phase	NOUN
bibechana-11681	64	54	space	space	NOUN
bibechana-11681	64	55	.	.	PUNCT
bibechana-11681	65	1	with	with	ADP
bibechana-11681	65	2	the	the	DET
bibechana-11681	65	3	help	help	NOUN
bibechana-11681	65	4	of	of	ADP
bibechana-11681	65	5	figure	figure	NOUN
bibechana-11681	65	6	1	1	NUM
bibechana-11681	65	7	,	,	PUNCT
bibechana-11681	65	8	dft	dft	NOUN
bibechana-11681	65	9	equation	equation	NOUN
bibechana-11681	65	10	can	can	AUX
bibechana-11681	65	11	be	be	AUX
bibechana-11681	65	12	written	write	VERB
bibechana-11681	65	13	directly	directly	ADV
bibechana-11681	65	14	.	.	PUNCT
bibechana-11681	66	1	kkk	kkk	PROPN
bibechana-11681	66	2	xxxkx	xxxkx	PROPN
bibechana-11681	66	3	)	)	PUNCT
bibechana-11681	66	4	3001)(5(	3001)(5(	NUM
bibechana-11681	66	5	...	...	PUNCT
bibechana-11681	66	6	)601)(1()01)(0	)601)(1()01)(0	PUNCT
bibechana-11681	66	7	(	(	PUNCT
bibechana-11681	66	8	)	)	PUNCT
bibechana-11681	66	9	(	(	PUNCT
bibechana-11681	66	10	�	�	PROPN
bibechana-11681	66	11	�	�	PROPN
bibechana-11681	66	12	�	�	PROPN
bibechana-11681	66	13	−∠++−∠+∠=	−∠++−∠+∠=	NUM
bibechana-11681	66	14	(	(	PUNCT
bibechana-11681	66	15	14	14	NUM
bibechana-11681	66	16	)	)	PUNCT
bibechana-11681	66	17	similarly	similarly	ADV
bibechana-11681	66	18	,	,	PUNCT
bibechana-11681	66	19	the	the	DET
bibechana-11681	66	20	inverse	inverse	NOUN
bibechana-11681	66	21	dft	dft	PROPN
bibechana-11681	66	22	(	(	PUNCT
bibechana-11681	66	23	idft	idft	NOUN
bibechana-11681	66	24	)	)	PUNCT
bibechana-11681	66	25	computation	computation	NOUN
bibechana-11681	66	26	is	be	AUX
bibechana-11681	66	27	also	also	ADV
bibechana-11681	66	28	as	as	ADP
bibechana-11681	66	29	simple	simple	ADJ
bibechana-11681	66	30	,	,	PUNCT
bibechana-11681	66	31	and	and	CCONJ
bibechana-11681	66	32	can	can	AUX
bibechana-11681	66	33	again	again	ADV
bibechana-11681	66	34	be	be	AUX
bibechana-11681	66	35	directly	directly	ADV
bibechana-11681	66	36	written	write	VERB
bibechana-11681	66	37	with	with	ADP
bibechana-11681	66	38	the	the	DET
bibechana-11681	66	39	help	help	NOUN
bibechana-11681	66	40	of	of	ADP
bibechana-11681	66	41	figure	figure	NOUN
bibechana-11681	66	42	2	2	NUM
bibechana-11681	66	43	,	,	PUNCT
bibechana-11681	66	44	keeping	keep	VERB
bibechana-11681	66	45	in	in	ADP
bibechana-11681	66	46	mind	mind	NOUN
bibechana-11681	66	47	that	that	SCONJ
bibechana-11681	66	48	the	the	DET
bibechana-11681	66	49	weights	weight	NOUN
bibechana-11681	66	50	in	in	ADP
bibechana-11681	66	51	the	the	DET
bibechana-11681	66	52	idft	idft	NOUN
bibechana-11681	66	53	equation	equation	NOUN
bibechana-11681	66	54	as	as	SCONJ
bibechana-11681	66	55	follows	follow	VERB
bibechana-11681	66	56	.	.	PUNCT
bibechana-11681	67	1	fig	fig	NOUN
bibechana-11681	67	2	.	.	PUNCT
bibechana-11681	68	1	2	2	NUM
bibechana-11681	68	2	:	:	PUNCT
bibechana-11681	68	3	idft	idft	ADJ
bibechana-11681	68	4	computation	computation	NOUN
bibechana-11681	68	5	scheme	scheme	NOUN
bibechana-11681	68	6	.	.	PUNCT
bibechana-11681	69	1	idft	idft	ADJ
bibechana-11681	69	2	computation	computation	NOUN
bibechana-11681	69	3	points	point	NOUN
bibechana-11681	69	4	uniformly	uniformly	ADV
bibechana-11681	69	5	placed	place	VERB
bibechana-11681	69	6	on	on	ADP
bibechana-11681	69	7	the	the	DET
bibechana-11681	69	8	unit	unit	NOUN
bibechana-11681	69	9	circle	circle	NOUN
bibechana-11681	69	10	,	,	PUNCT
bibechana-11681	69	11	alongwith	alongwith	NOUN
bibechana-11681	69	12	the	the	DET
bibechana-11681	69	13	dft	dft	PROPN
bibechana-11681	69	14	mapped	map	VERB
bibechana-11681	69	15	on	on	ADP
bibechana-11681	69	16	the	the	DET
bibechana-11681	69	17	circle	circle	NOUN
bibechana-11681	69	18	.	.	PUNCT
bibechana-11681	70	1	(	(	PUNCT
bibechana-11681	70	2	)	)	PUNCT
bibechana-11681	70	3	nnn	nnn	PROPN
bibechana-11681	70	4	xxx	xxx	PROPN
bibechana-11681	70	5	n	n	PROPN
bibechana-11681	70	6	nx	nx	NUM
bibechana-11681	70	7	)	)	PUNCT
bibechana-11681	70	8	3001)(5(	3001)(5(	NUM
bibechana-11681	70	9	...	...	PUNCT
bibechana-11681	70	10	)601)(1()01)(0	)601)(1()01)(0	PUNCT
bibechana-11681	70	11	(	(	PUNCT
bibechana-11681	70	12	1	1	NUM
bibechana-11681	70	13	)	)	PUNCT
bibechana-11681	70	14	(	(	PUNCT
bibechana-11681	70	15	�	�	PROPN
bibechana-11681	70	16	�	�	PROPN
bibechana-11681	70	17	�	�	PROPN
bibechana-11681	70	18	∠++∠+∠=	∠++∠+∠=	PROPN
bibechana-11681	70	19	(	(	PUNCT
bibechana-11681	70	20	15	15	NUM
bibechana-11681	70	21	)	)	PUNCT
bibechana-11681	70	22	perhaps	perhaps	ADV
bibechana-11681	70	23	,	,	PUNCT
bibechana-11681	70	24	the	the	DET
bibechana-11681	70	25	equations	equation	NOUN
bibechana-11681	70	26	(	(	PUNCT
bibechana-11681	70	27	14	14	NUM
bibechana-11681	70	28	)	)	PUNCT
bibechana-11681	70	29	and	and	CCONJ
bibechana-11681	70	30	(	(	PUNCT
bibechana-11681	70	31	15	15	NUM
bibechana-11681	70	32	)	)	PUNCT
bibechana-11681	70	33	are	be	AUX
bibechana-11681	70	34	in	in	ADP
bibechana-11681	70	35	their	their	PRON
bibechana-11681	70	36	simplest	simple	ADJ
bibechana-11681	70	37	possible	possible	ADJ
bibechana-11681	70	38	form	form	NOUN
bibechana-11681	70	39	.	.	PUNCT
bibechana-11681	71	1	other	other	ADJ
bibechana-11681	71	2	forms	form	NOUN
bibechana-11681	71	3	are	be	AUX
bibechana-11681	71	4	also	also	ADV
bibechana-11681	71	5	possible	possible	ADJ
bibechana-11681	71	6	involving	involve	VERB
bibechana-11681	71	7	conjugate	conjugate	ADJ
bibechana-11681	71	8	weights	weight	NOUN
bibechana-11681	71	9	,	,	PUNCT
bibechana-11681	71	10	as	as	SCONJ
bibechana-11681	71	11	the	the	DET
bibechana-11681	71	12	weights	weight	NOUN
bibechana-11681	71	13	corresponding	correspond	VERB
bibechana-11681	71	14	to	to	ADP
bibechana-11681	71	15	�	�	PROPN
bibechana-11681	71	16	60∠	60∠	NUM
bibechana-11681	71	17	is	be	AUX
bibechana-11681	71	18	conjugate	conjugate	ADJ
bibechana-11681	71	19	to	to	ADP
bibechana-11681	71	20	�	�	PROPN
bibechana-11681	71	21	300∠	300∠	NOUN
bibechana-11681	71	22	and	and	CCONJ
bibechana-11681	71	23	vice	vice	NOUN
bibechana-11681	71	24	versa	versa	ADV
bibechana-11681	71	25	,	,	PUNCT
bibechana-11681	71	26	and	and	CCONJ
bibechana-11681	71	27	may	may	AUX
bibechana-11681	71	28	be	be	AUX
bibechana-11681	71	29	incorporated	incorporate	VERB
bibechana-11681	71	30	if	if	SCONJ
bibechana-11681	71	31	needed	need	VERB
bibechana-11681	71	32	.	.	PUNCT
bibechana-11681	72	1	generalized	generalized	ADJ
bibechana-11681	72	2	equations	equation	NOUN
bibechana-11681	72	3	based	base	VERB
bibechana-11681	72	4	on	on	ADP
bibechana-11681	72	5	the	the	DET
bibechana-11681	72	6	representations	representation	NOUN
bibechana-11681	72	7	of	of	ADP
bibechana-11681	72	8	equations	equation	NOUN
bibechana-11681	72	9	(	(	PUNCT
bibechana-11681	72	10	14	14	NUM
bibechana-11681	72	11	)	)	PUNCT
bibechana-11681	72	12	and	and	CCONJ
bibechana-11681	72	13	(	(	PUNCT
bibechana-11681	72	14	15	15	NUM
bibechana-11681	72	15	)	)	PUNCT
bibechana-11681	72	16	can	can	AUX
bibechana-11681	72	17	thus	thus	ADV
bibechana-11681	72	18	be	be	AUX
bibechana-11681	72	19	given	give	VERB
bibechana-11681	72	20	as	as	SCONJ
bibechana-11681	72	21	follows	follow	VERB
bibechana-11681	72	22	.	.	PUNCT
bibechana-11681	73	1	(	(	PUNCT
bibechana-11681	73	2	)	)	PUNCT
bibechana-11681	73	3	kn	kn	PROPN
bibechana-11681	73	4	n	n	CCONJ
bibechana-11681	73	5	n	n	ADV
bibechana-11681	73	6	nnxkx	nnxkx	VERB
bibechana-11681	73	7	∑	∑	PUNCT
bibechana-11681	73	8	−∠=	−∠=	NUM
bibechana-11681	73	9	−	−	PROPN
bibechana-11681	73	10	=	=	SYM
bibechana-11681	73	11	1	1	NUM
bibechana-11681	73	12	0	0	NUM
bibechana-11681	73	13	21	21	NUM
bibechana-11681	73	14	)	)	PUNCT
bibechana-11681	73	15	(	(	PUNCT
bibechana-11681	73	16	)	)	PUNCT
bibechana-11681	73	17	(	(	PUNCT
bibechana-11681	73	18	π	π	X
bibechana-11681	73	19	(	(	PUNCT
bibechana-11681	73	20	16	16	NUM
bibechana-11681	73	21	)	)	PUNCT
bibechana-11681	73	22	o3001∠	o3001∠	VERB
bibechana-11681	73	23	o1201∠	o1201∠	ADJ
bibechana-11681	73	24	o1801∠	o1801∠	ADJ
bibechana-11681	73	25	o2401∠	o2401∠	ADJ
bibechana-11681	73	26	o601∠	o601∠	X
bibechana-11681	73	27	o01∠	o01∠	X
bibechana-11681	73	28	)	)	PUNCT
bibechana-11681	73	29	0(x	0(x	X
bibechana-11681	73	30	)	)	PUNCT
bibechana-11681	73	31	5(x)4(x	5(x)4(x	NUM
bibechana-11681	73	32	)	)	PUNCT
bibechana-11681	73	33	3(x	3(x	NUM
bibechana-11681	73	34	)	)	PUNCT
bibechana-11681	73	35	2(x	2(x	NUM
bibechana-11681	73	36	)	)	PUNCT
bibechana-11681	73	37	1(x	1(x	NUM
bibechana-11681	73	38	yasin./	yasin./	NOUN
bibechana-11681	73	39	bibechana	bibechana	NOUN
bibechana-11681	73	40	12	12	NUM
bibechana-11681	73	41	(	(	PUNCT
bibechana-11681	73	42	2015	2015	NUM
bibechana-11681	73	43	)	)	PUNCT
bibechana-11681	73	44	13	13	NUM
bibechana-11681	73	45	-	-	SYM
bibechana-11681	73	46	19	19	NUM
bibechana-11681	73	47	:	:	PUNCT
bibechana-11681	73	48	p.	p.	NOUN
bibechana-11681	73	49	17	17	NUM
bibechana-11681	73	50	(	(	PUNCT
bibechana-11681	73	51	)	)	PUNCT
bibechana-11681	73	52	nn	nn	PROPN
bibechana-11681	73	53	k	k	PROPN
bibechana-11681	73	54	n	n	X
bibechana-11681	73	55	kkx	kkx	VERB
bibechana-11681	73	56	n	n	ADV
bibechana-11681	73	57	nx	nx	INTJ
bibechana-11681	73	58	∑	∑	PROPN
bibechana-11681	73	59	∠=	∠=	PROPN
bibechana-11681	73	60	−	−	NOUN
bibechana-11681	74	1	=	=	NOUN
bibechana-11681	75	1	1	1	NUM
bibechana-11681	75	2	0	0	NUM
bibechana-11681	75	3	3601	3601	NUM
bibechana-11681	75	4	)	)	PUNCT
bibechana-11681	75	5	(	(	PUNCT
bibechana-11681	75	6	1	1	X
bibechana-11681	75	7	)	)	PUNCT
bibechana-11681	75	8	(	(	PUNCT
bibechana-11681	75	9	�	�	PROPN
bibechana-11681	75	10	(	(	PUNCT
bibechana-11681	75	11	17	17	NUM
bibechana-11681	75	12	)	)	SYM
bibechana-11681	75	13	3	3	NUM
bibechana-11681	75	14	.	.	PUNCT
bibechana-11681	75	15	dft	dft	PROPN
bibechana-11681	75	16	computation	computation	NOUN
bibechana-11681	75	17	–	–	PUNCT
bibechana-11681	75	18	schemes	scheme	NOUN
bibechana-11681	75	19	and	and	CCONJ
bibechana-11681	75	20	results	result	VERB
bibechana-11681	75	21	the	the	DET
bibechana-11681	75	22	procedure	procedure	NOUN
bibechana-11681	75	23	of	of	ADP
bibechana-11681	75	24	dft	dft	PROPN
bibechana-11681	75	25	computation	computation	NOUN
bibechana-11681	75	26	on	on	ADP
bibechana-11681	75	27	casio	casio	PROPN
bibechana-11681	75	28	calculators	calculator	NOUN
bibechana-11681	75	29	like	like	ADP
bibechana-11681	75	30	fx	fx	PROPN
bibechana-11681	75	31	991es	991es	PROPN
bibechana-11681	75	32	plus	plus	CCONJ
bibechana-11681	75	33	natural	natural	ADJ
bibechana-11681	75	34	v.p.a./m	v.p.a./m	NOUN
bibechana-11681	75	35	.	.	PROPN
bibechana-11681	75	36	,	,	PUNCT
bibechana-11681	75	37	can	can	AUX
bibechana-11681	75	38	be	be	AUX
bibechana-11681	75	39	summarized	summarize	VERB
bibechana-11681	75	40	as	as	SCONJ
bibechana-11681	75	41	follows	follow	VERB
bibechana-11681	75	42	.	.	PUNCT
bibechana-11681	76	1	use	use	NOUN
bibechana-11681	76	2	of	of	ADP
bibechana-11681	76	3	equation	equation	NOUN
bibechana-11681	76	4	(	(	PUNCT
bibechana-11681	76	5	12	12	NUM
bibechana-11681	76	6	)	)	PUNCT
bibechana-11681	76	7	or	or	CCONJ
bibechana-11681	76	8	(	(	PUNCT
bibechana-11681	76	9	14	14	NUM
bibechana-11681	76	10	)	)	PUNCT
bibechana-11681	76	11	can	can	AUX
bibechana-11681	76	12	facilitates	facilitate	VERB
bibechana-11681	76	13	to	to	PART
bibechana-11681	76	14	write	write	VERB
bibechana-11681	76	15	an	an	DET
bibechana-11681	76	16	equation	equation	NOUN
bibechana-11681	76	17	in	in	ADP
bibechana-11681	76	18	calculator	calculator	NOUN
bibechana-11681	76	19	syntax	syntax	NOUN
bibechana-11681	76	20	for	for	ADP
bibechana-11681	76	21	the	the	DET
bibechana-11681	76	22	discrete	discrete	ADJ
bibechana-11681	76	23	sequence	sequence	NOUN
bibechana-11681	76	24	x(n)={2	x(n)={2	PROPN
bibechana-11681	76	25	,	,	PUNCT
bibechana-11681	76	26	1	1	NUM
bibechana-11681	76	27	,	,	PUNCT
bibechana-11681	76	28	-3	-3	INTJ
bibechana-11681	76	29	,	,	PUNCT
bibechana-11681	76	30	4	4	NUM
bibechana-11681	76	31	}	}	PUNCT
bibechana-11681	76	32	.	.	PUNCT
bibechana-11681	77	1	the	the	DET
bibechana-11681	77	2	computation	computation	NOUN
bibechana-11681	77	3	is	be	AUX
bibechana-11681	77	4	done	do	VERB
bibechana-11681	77	5	in	in	ADP
bibechana-11681	77	6	a	a	DET
bibechana-11681	77	7	bit	bit	NOUN
bibechana-11681	77	8	interactive	interactive	ADJ
bibechana-11681	77	9	manner	manner	NOUN
bibechana-11681	77	10	as	as	SCONJ
bibechana-11681	77	11	presented	present	VERB
bibechana-11681	77	12	in	in	ADP
bibechana-11681	77	13	table	table	NOUN
bibechana-11681	77	14	1	1	NUM
bibechana-11681	77	15	below	below	ADV
bibechana-11681	77	16	.	.	PUNCT
bibechana-11681	78	1	in	in	ADP
bibechana-11681	78	2	bold	bold	ADJ
bibechana-11681	78	3	and	and	CCONJ
bibechana-11681	78	4	italic	italic	ADJ
bibechana-11681	78	5	,	,	PUNCT
bibechana-11681	78	6	are	be	AUX
bibechana-11681	78	7	the	the	DET
bibechana-11681	78	8	calculator	calculator	NOUN
bibechana-11681	78	9	key	key	NOUN
bibechana-11681	78	10	presses	press	NOUN
bibechana-11681	78	11	required	require	VERB
bibechana-11681	78	12	right	right	ADV
bibechana-11681	78	13	from	from	ADP
bibechana-11681	78	14	the	the	DET
bibechana-11681	78	15	basic	basic	ADJ
bibechana-11681	78	16	equation	equation	NOUN
bibechana-11681	78	17	and	and	CCONJ
bibechana-11681	78	18	the	the	DET
bibechana-11681	78	19	components	component	NOUN
bibechana-11681	78	20	of	of	ADP
bibechana-11681	78	21	the	the	DET
bibechana-11681	78	22	results	result	NOUN
bibechana-11681	78	23	are	be	AUX
bibechana-11681	78	24	in	in	ADP
bibechana-11681	78	25	normal	normal	ADJ
bibechana-11681	78	26	text	text	NOUN
bibechana-11681	78	27	.	.	PUNCT
bibechana-11681	79	1	aaa	aaa	PROPN
bibechana-11681	79	2	�	�	PROPN
bibechana-11681	79	3	�	�	PROPN
bibechana-11681	79	4	�	�	PROPN
bibechana-11681	79	5	180412036012	180412036012	NUM
bibechana-11681	79	6	−∠+−∠−−∠+	−∠+−∠−−∠+	NOUN
bibechana-11681	79	7	(	(	PUNCT
bibechana-11681	79	8	18	18	NUM
bibechana-11681	79	9	)	)	PUNCT
bibechana-11681	79	10	table	table	NOUN
bibechana-11681	79	11	1	1	NUM
bibechana-11681	79	12	:	:	PUNCT
bibechana-11681	79	13	implementation	implementation	NOUN
bibechana-11681	79	14	of	of	ADP
bibechana-11681	79	15	equation	equation	NOUN
bibechana-11681	79	16	(	(	PUNCT
bibechana-11681	79	17	18	18	NUM
bibechana-11681	79	18	)	)	PUNCT
bibechana-11681	79	19	calc	calc	NOUN
bibechana-11681	79	20	a=	a=	NOUN
bibechana-11681	79	21	?	?	PUNCT
bibechana-11681	79	22	0	0	PUNCT
bibechana-11681	80	1	=	=	SYM
bibechana-11681	80	2	4	4	NUM
bibechana-11681	80	3	shift	shift	NOUN
bibechana-11681	80	4	reim	reim	PROPN
bibechana-11681	80	5	j0	j0	PROPN
bibechana-11681	80	6	calc	calc	PROPN
bibechana-11681	80	7	a=	a=	PROPN
bibechana-11681	80	8	?	?	PUNCT
bibechana-11681	81	1	1	1	NUM
bibechana-11681	81	2	=	=	SYM
bibechana-11681	81	3	0	0	NUM
bibechana-11681	81	4	shift	shift	NOUN
bibechana-11681	81	5	reim	reim	PROPN
bibechana-11681	81	6	j1.732	j1.732	PROPN
bibechana-11681	81	7	calc	calc	PROPN
bibechana-11681	81	8	a=	a=	PROPN
bibechana-11681	81	9	?	?	PUNCT
bibechana-11681	82	1	2	2	NUM
bibechana-11681	82	2	=	=	SYM
bibechana-11681	82	3	7	7	NUM
bibechana-11681	82	4	shift	shift	NOUN
bibechana-11681	82	5	reim	reim	NOUN
bibechana-11681	82	6	-j3.464	-j3.464	PUNCT
bibechana-11681	82	7	calc	calc	PROPN
bibechana-11681	82	8	a=	a=	PROPN
bibechana-11681	82	9	?	?	PUNCT
bibechana-11681	82	10	3	3	NUM
bibechana-11681	82	11	=	=	SYM
bibechana-11681	82	12	-6	-6	NOUN
bibechana-11681	82	13	shift	shift	NOUN
bibechana-11681	82	14	reim	reim	PROPN
bibechana-11681	82	15	j0	j0	PROPN
bibechana-11681	82	16	calc	calc	PROPN
bibechana-11681	82	17	a=	a=	PROPN
bibechana-11681	82	18	?	?	PUNCT
bibechana-11681	82	19	4	4	NUM
bibechana-11681	82	20	=	=	SYM
bibechana-11681	82	21	7	7	NUM
bibechana-11681	82	22	shift	shift	NOUN
bibechana-11681	82	23	reim	reim	NOUN
bibechana-11681	82	24	j3.464	j3.464	PROPN
bibechana-11681	82	25	calc	calc	PROPN
bibechana-11681	82	26	a=	a=	PROPN
bibechana-11681	82	27	?	?	PUNCT
bibechana-11681	82	28	5	5	NUM
bibechana-11681	82	29	=	=	SYM
bibechana-11681	82	30	0	0	NUM
bibechana-11681	82	31	shift	shift	NOUN
bibechana-11681	82	32	reim	reim	NOUN
bibechana-11681	82	33	-j1.732	-j1.732	NOUN
bibechana-11681	82	34	hence	hence	ADV
bibechana-11681	82	35	the	the	DET
bibechana-11681	82	36	result	result	NOUN
bibechana-11681	82	37	is	be	AUX
bibechana-11681	82	38	{	{	PUNCT
bibechana-11681	82	39	}	}	PUNCT
bibechana-11681	82	40	732.1,464.37,6,464.37,732.1,4	732.1,464.37,6,464.37,732.1,4	ADV
bibechana-11681	82	41	)	)	PUNCT
bibechana-11681	82	42	(	(	PUNCT
bibechana-11681	82	43	jjjjkx	jjjjkx	PROPN
bibechana-11681	82	44	−+−−=	−+−−=	PROPN
bibechana-11681	82	45	.	.	PUNCT
bibechana-11681	83	1	similarly	similarly	ADV
bibechana-11681	83	2	the	the	DET
bibechana-11681	83	3	idft	idft	ADJ
bibechana-11681	83	4	computation	computation	NOUN
bibechana-11681	83	5	can	can	AUX
bibechana-11681	83	6	also	also	ADV
bibechana-11681	83	7	be	be	AUX
bibechana-11681	83	8	done	do	VERB
bibechana-11681	83	9	through	through	ADP
bibechana-11681	83	10	a	a	DET
bibechana-11681	83	11	similar	similar	ADJ
bibechana-11681	83	12	procedure	procedure	NOUN
bibechana-11681	83	13	.	.	PUNCT
bibechana-11681	84	1	thus	thus	ADV
bibechana-11681	84	2	(	(	PUNCT
bibechana-11681	84	3	+	+	ADJ
bibechana-11681	84	4	∠−∠−+∠+	∠−∠−+∠+	VERB
bibechana-11681	84	5	aajaj	aajaj	PROPN
bibechana-11681	84	6	�	�	PROPN
bibechana-11681	84	7	�	�	PROPN
bibechana-11681	84	8	�	�	PROPN
bibechana-11681	84	9	180611201)464.37(601	180611201)464.37(601	NUM
bibechana-11681	84	10	*	*	NOUN
bibechana-11681	84	11	17324	17324	NUM
bibechana-11681	84	12	6	6	NUM
bibechana-11681	84	13	1	1	NUM
bibechana-11681	84	14	)	)	PUNCT
bibechana-11681	84	15	ajaj	ajaj	PROPN
bibechana-11681	84	16	�	�	PROPN
bibechana-11681	84	17	�	�	PROPN
bibechana-11681	84	18	3007321.12401)464.37	3007321.12401)464.37	PROPN
bibechana-11681	84	19	(	(	PUNCT
bibechana-11681	84	20	∠−∠+	∠−∠+	PUNCT
bibechana-11681	84	21	(	(	PUNCT
bibechana-11681	84	22	19	19	NUM
bibechana-11681	84	23	)	)	PUNCT
bibechana-11681	84	24	hence	hence	ADV
bibechana-11681	84	25	the	the	DET
bibechana-11681	84	26	result	result	NOUN
bibechana-11681	84	27	of	of	ADP
bibechana-11681	84	28	idft	idft	ADJ
bibechana-11681	84	29	computation	computation	NOUN
bibechana-11681	84	30	is	be	AUX
bibechana-11681	84	31	x(n	x(n	NOUN
bibechana-11681	84	32	)	)	PUNCT
bibechana-11681	84	33	=	=	SYM
bibechana-11681	84	34	{	{	PUNCT
bibechana-11681	84	35	2	2	NUM
bibechana-11681	84	36	,	,	PUNCT
bibechana-11681	84	37	1	1	NUM
bibechana-11681	84	38	,	,	PUNCT
bibechana-11681	84	39	-3	-3	ADJ
bibechana-11681	84	40	,	,	PUNCT
bibechana-11681	84	41	4	4	NUM
bibechana-11681	84	42	,	,	PUNCT
bibechana-11681	84	43	0	0	NUM
bibechana-11681	84	44	,	,	PUNCT
bibechana-11681	84	45	0	0	NUM
bibechana-11681	84	46	}	}	PUNCT
bibechana-11681	84	47	=	=	SYM
bibechana-11681	84	48	{	{	PUNCT
bibechana-11681	84	49	2	2	NUM
bibechana-11681	84	50	,	,	PUNCT
bibechana-11681	84	51	1	1	NUM
bibechana-11681	84	52	,	,	PUNCT
bibechana-11681	84	53	-3	-3	INTJ
bibechana-11681	84	54	,	,	PUNCT
bibechana-11681	84	55	4	4	NUM
bibechana-11681	84	56	}	}	PUNCT
bibechana-11681	84	57	.	.	PUNCT
bibechana-11681	85	1	this	this	DET
bibechana-11681	85	2	method	method	NOUN
bibechana-11681	85	3	is	be	AUX
bibechana-11681	85	4	extremely	extremely	ADV
bibechana-11681	85	5	simple	simple	ADJ
bibechana-11681	85	6	,	,	PUNCT
bibechana-11681	85	7	but	but	CCONJ
bibechana-11681	85	8	is	be	AUX
bibechana-11681	85	9	not	not	PART
bibechana-11681	85	10	suitable	suitable	ADJ
bibechana-11681	85	11	for	for	ADP
bibechana-11681	85	12	ordinary	ordinary	ADJ
bibechana-11681	85	13	scientific	scientific	ADJ
bibechana-11681	85	14	calculators	calculator	NOUN
bibechana-11681	85	15	.	.	PUNCT
bibechana-11681	86	1	all	all	DET
bibechana-11681	86	2	common	common	ADJ
bibechana-11681	86	3	calculators	calculator	NOUN
bibechana-11681	86	4	do	do	AUX
bibechana-11681	86	5	not	not	PART
bibechana-11681	86	6	permit	permit	VERB
bibechana-11681	86	7	complex	complex	ADJ
bibechana-11681	86	8	computations	computation	NOUN
bibechana-11681	86	9	like	like	ADP
bibechana-11681	86	10	those	those	PRON
bibechana-11681	86	11	advised	advise	VERB
bibechana-11681	86	12	in	in	ADP
bibechana-11681	86	13	equations	equation	NOUN
bibechana-11681	86	14	(	(	PUNCT
bibechana-11681	86	15	14	14	NUM
bibechana-11681	86	16	)	)	PUNCT
bibechana-11681	86	17	(	(	PUNCT
bibechana-11681	86	18	15	15	NUM
bibechana-11681	86	19	)	)	PUNCT
bibechana-11681	86	20	or	or	CCONJ
bibechana-11681	86	21	equations	equation	NOUN
bibechana-11681	86	22	(	(	PUNCT
bibechana-11681	86	23	18	18	NUM
bibechana-11681	86	24	)	)	PUNCT
bibechana-11681	86	25	(	(	PUNCT
bibechana-11681	86	26	19	19	NUM
bibechana-11681	86	27	)	)	PUNCT
bibechana-11681	86	28	for	for	ADP
bibechana-11681	86	29	yasin./	yasin./	NOUN
bibechana-11681	86	30	bibechana	bibechana	PROPN
bibechana-11681	86	31	12	12	NUM
bibechana-11681	86	32	(	(	PUNCT
bibechana-11681	86	33	2015	2015	NUM
bibechana-11681	86	34	)	)	PUNCT
bibechana-11681	86	35	13	13	NUM
bibechana-11681	86	36	-	-	SYM
bibechana-11681	86	37	19	19	NUM
bibechana-11681	86	38	:	:	PUNCT
bibechana-11681	86	39	p.	p.	NOUN
bibechana-11681	86	40	18	18	NUM
bibechana-11681	86	41	powers	power	NOUN
bibechana-11681	86	42	higher	high	ADJ
bibechana-11681	86	43	than	than	ADP
bibechana-11681	86	44	3	3	NUM
bibechana-11681	86	45	.	.	PUNCT
bibechana-11681	87	1	for	for	ADP
bibechana-11681	87	2	example	example	NOUN
bibechana-11681	87	3	,	,	PUNCT
bibechana-11681	87	4	in	in	ADP
bibechana-11681	87	5	casio	casio	PROPN
bibechana-11681	87	6	fx-991w	fx-991w	NOUN
bibechana-11681	87	7	s	s	PROPN
bibechana-11681	87	8	-	-	PUNCT
bibechana-11681	87	9	v.p.a.m	v.p.a.m	PROPN
bibechana-11681	87	10	.	.	PROPN
bibechana-11681	87	11	,	,	PUNCT
bibechana-11681	87	12	one	one	PRON
bibechana-11681	87	13	can	can	AUX
bibechana-11681	87	14	adopt	adopt	VERB
bibechana-11681	87	15	another	another	DET
bibechana-11681	87	16	simple	simple	ADJ
bibechana-11681	87	17	yet	yet	CCONJ
bibechana-11681	87	18	elegant	elegant	ADJ
bibechana-11681	87	19	method	method	NOUN
bibechana-11681	87	20	.	.	PUNCT
bibechana-11681	88	1	let	let	VERB
bibechana-11681	88	2	n	n	PRON
bibechana-11681	88	3	j	j	PROPN
bibechana-11681	88	4	ea	ea	X
bibechana-11681	88	5	π2	π2	ADP
bibechana-11681	88	6	−	−	PROPN
bibechana-11681	88	7	=	=	SYM
bibechana-11681	88	8	,	,	PUNCT
bibechana-11681	88	9	equation	equation	NOUN
bibechana-11681	88	10	(	(	PUNCT
bibechana-11681	88	11	4	4	X
bibechana-11681	88	12	)	)	PUNCT
bibechana-11681	88	13	can	can	AUX
bibechana-11681	88	14	be	be	AUX
bibechana-11681	88	15	rearranged	rearrange	VERB
bibechana-11681	88	16	as	as	SCONJ
bibechana-11681	88	17	follows	follow	VERB
bibechana-11681	88	18	.	.	PUNCT
bibechana-11681	89	1	table	table	NOUN
bibechana-11681	89	2	2	2	NUM
bibechana-11681	89	3	:	:	PUNCT
bibechana-11681	89	4	implementation	implementation	NOUN
bibechana-11681	89	5	of	of	ADP
bibechana-11681	89	6	equation	equation	NOUN
bibechana-11681	89	7	(	(	PUNCT
bibechana-11681	89	8	19	19	NUM
bibechana-11681	89	9	)	)	PUNCT
bibechana-11681	89	10	calc	calc	NOUN
bibechana-11681	89	11	a=	a=	NOUN
bibechana-11681	89	12	?	?	PUNCT
bibechana-11681	89	13	0	0	PUNCT
bibechana-11681	90	1	=	=	SYM
bibechana-11681	90	2	2	2	NUM
bibechana-11681	90	3	shift	shift	NOUN
bibechana-11681	90	4	reim	reim	PROPN
bibechana-11681	90	5	j0	j0	PROPN
bibechana-11681	90	6	calc	calc	PROPN
bibechana-11681	90	7	a=	a=	PROPN
bibechana-11681	90	8	?	?	PUNCT
bibechana-11681	91	1	1	1	NUM
bibechana-11681	91	2	=	=	SYM
bibechana-11681	91	3	1	1	NUM
bibechana-11681	91	4	shift	shift	NOUN
bibechana-11681	91	5	reim	reim	PROPN
bibechana-11681	91	6	j0	j0	PROPN
bibechana-11681	91	7	calc	calc	PROPN
bibechana-11681	91	8	a=	a=	PROPN
bibechana-11681	91	9	?	?	PUNCT
bibechana-11681	92	1	2	2	NUM
bibechana-11681	92	2	=	=	SYM
bibechana-11681	92	3	-3	-3	PUNCT
bibechana-11681	92	4	shift	shift	NOUN
bibechana-11681	92	5	reim	reim	PROPN
bibechana-11681	92	6	j0	j0	PROPN
bibechana-11681	92	7	calc	calc	PROPN
bibechana-11681	92	8	a=	a=	PROPN
bibechana-11681	92	9	?	?	PUNCT
bibechana-11681	93	1	3	3	NUM
bibechana-11681	93	2	=	=	SYM
bibechana-11681	93	3	4	4	NUM
bibechana-11681	93	4	shift	shift	NOUN
bibechana-11681	93	5	reim	reim	PROPN
bibechana-11681	93	6	j0	j0	PROPN
bibechana-11681	93	7	calc	calc	PROPN
bibechana-11681	93	8	a=	a=	PROPN
bibechana-11681	93	9	?	?	PUNCT
bibechana-11681	93	10	4	4	NUM
bibechana-11681	93	11	=	=	SYM
bibechana-11681	93	12	0	0	NUM
bibechana-11681	93	13	shift	shift	NOUN
bibechana-11681	93	14	reim	reim	PROPN
bibechana-11681	93	15	j0	j0	PROPN
bibechana-11681	93	16	calc	calc	PROPN
bibechana-11681	93	17	a=	a=	PROPN
bibechana-11681	93	18	?	?	PUNCT
bibechana-11681	94	1	5	5	NUM
bibechana-11681	94	2	=	=	SYM
bibechana-11681	94	3	0	0	NUM
bibechana-11681	94	4	shift	shift	NOUN
bibechana-11681	94	5	reim	reim	PROPN
bibechana-11681	94	6	j0	j0	PROPN
bibechana-11681	94	7	)	)	PUNCT
bibechana-11681	94	8	)	)	PUNCT
bibechana-11681	94	9	)	)	PUNCT
bibechana-11681	94	10	)	)	PUNCT
bibechana-11681	95	1	1()2((	1()2((	NUM
bibechana-11681	95	2	...	...	PUNCT
bibechana-11681	95	3	)3(()2(()1(()0	)3(()2(()1(()0	PROPN
bibechana-11681	95	4	(	(	PUNCT
bibechana-11681	95	5	)	)	PUNCT
bibechana-11681	95	6	(	(	PUNCT
bibechana-11681	95	7	−+−++++=	−+−++++=	PROPN
bibechana-11681	95	8	nxanxaxaxaxaxkx	nxanxaxaxaxaxkx	PROPN
bibechana-11681	95	9	kkkkk	kkkkk	PROPN
bibechana-11681	95	10	(	(	PUNCT
bibechana-11681	95	11	20	20	NUM
bibechana-11681	95	12	)	)	PUNCT
bibechana-11681	95	13	use	use	NOUN
bibechana-11681	95	14	of	of	ADP
bibechana-11681	95	15	equation	equation	NOUN
bibechana-11681	95	16	(	(	PUNCT
bibechana-11681	95	17	20	20	NUM
bibechana-11681	95	18	)	)	PUNCT
bibechana-11681	95	19	can	can	AUX
bibechana-11681	95	20	facilitate	facilitate	VERB
bibechana-11681	95	21	to	to	PART
bibechana-11681	95	22	overcome	overcome	VERB
bibechana-11681	95	23	the	the	DET
bibechana-11681	95	24	complex	complex	ADJ
bibechana-11681	95	25	power	power	NOUN
bibechana-11681	95	26	limitation	limitation	NOUN
bibechana-11681	95	27	of	of	ADP
bibechana-11681	95	28	a	a	DET
bibechana-11681	95	29	calculator	calculator	NOUN
bibechana-11681	95	30	.	.	PUNCT
bibechana-11681	96	1	considering	consider	VERB
bibechana-11681	96	2	the	the	DET
bibechana-11681	96	3	use	use	NOUN
bibechana-11681	96	4	of	of	ADP
bibechana-11681	96	5	calculator	calculator	NOUN
bibechana-11681	96	6	memories	memory	NOUN
bibechana-11681	96	7	a	a	PRON
bibechana-11681	96	8	and	and	CCONJ
bibechana-11681	96	9	b	b	NOUN
bibechana-11681	96	10	,	,	PUNCT
bibechana-11681	96	11	and	and	CCONJ
bibechana-11681	96	12	the	the	DET
bibechana-11681	96	13	cmplx	cmplx	PROPN
bibechana-11681	96	14	mode	mode	NOUN
bibechana-11681	96	15	,	,	PUNCT
bibechana-11681	96	16	a	a	DET
bibechana-11681	96	17	simple	simple	ADJ
bibechana-11681	96	18	algorithm	algorithm	NOUN
bibechana-11681	96	19	can	can	AUX
bibechana-11681	96	20	be	be	AUX
bibechana-11681	96	21	suggested	suggest	VERB
bibechana-11681	96	22	as	as	SCONJ
bibechana-11681	96	23	follows	follow	VERB
bibechana-11681	96	24	.	.	PUNCT
bibechana-11681	97	1	ba	ba	PROPN
bibechana-11681	98	1	n	n	CCONJ
bibechana-11681	98	2	j	j	PROPN
bibechana-11681	98	3	n	n	ADP
bibechana-11681	98	4	e	e	PROPN
bibechana-11681	98	5	n	n	PRON
bibechana-11681	98	6	j	j	PROPN
bibechana-11681	98	7	→→−=	→→−=	PUNCT
bibechana-11681	98	8	−	−	PROPN
bibechana-11681	98	9	)	)	PUNCT
bibechana-11681	98	10	2	2	NUM
bibechana-11681	98	11	sin	sin	NOUN
bibechana-11681	98	12	(	(	PUNCT
bibechana-11681	98	13	)	)	PUNCT
bibechana-11681	98	14	2	2	NUM
bibechana-11681	98	15	cos	cos	PROPN
bibechana-11681	98	16	(	(	PUNCT
bibechana-11681	98	17	2	2	NUM
bibechana-11681	98	18	πππ	πππ	X
bibechana-11681	98	19	{	{	PUNCT
bibechana-11681	98	20	)	)	PUNCT
bibechana-11681	98	21	)	)	PUNCT
bibechana-11681	98	22	)	)	PUNCT
bibechana-11681	98	23	)	)	PUNCT
bibechana-11681	99	1	1()2((	1()2((	NUM
bibechana-11681	99	2	...	...	PUNCT
bibechana-11681	99	3	)3(()2(()1(()0	)3(()2(()1(()0	PROPN
bibechana-11681	99	4	(	(	PUNCT
bibechana-11681	99	5	)	)	PUNCT
bibechana-11681	99	6	(	(	PUNCT
bibechana-11681	99	7	−+−++++=	−+−++++=	PROPN
bibechana-11681	99	8	kaxkxaxaxaxaxkx	kaxkxaxaxaxaxkx	PROPN
bibechana-11681	99	9	baa	baa	NOUN
bibechana-11681	99	10	*	*	NOUN
bibechana-11681	99	11	=	=	PUNCT
bibechana-11681	99	12	)	)	PUNCT
bibechana-11681	99	13	(	(	PUNCT
bibechana-11681	99	14	kxcalc	kxcalc	NOUN
bibechana-11681	99	15	repeat	repeat	VERB
bibechana-11681	99	16	if	if	SCONJ
bibechana-11681	99	17	1−≤	1−≤	PROPN
bibechana-11681	99	18	nk	nk	PROPN
bibechana-11681	99	19	.	.	PUNCT
bibechana-11681	100	1	}	}	PUNCT
bibechana-11681	100	2	(	(	PUNCT
bibechana-11681	100	3	21	21	NUM
bibechana-11681	100	4	)	)	PUNCT
bibechana-11681	100	5	this	this	DET
bibechana-11681	100	6	simple	simple	ADJ
bibechana-11681	100	7	algorithm	algorithm	NOUN
bibechana-11681	100	8	may	may	AUX
bibechana-11681	100	9	be	be	AUX
bibechana-11681	100	10	demonstrated	demonstrate	VERB
bibechana-11681	100	11	on	on	ADP
bibechana-11681	100	12	casio	casio	PROPN
bibechana-11681	100	13	calculators	calculator	NOUN
bibechana-11681	100	14	like	like	ADP
bibechana-11681	100	15	fx-100ms	fx-100ms	PROPN
bibechana-11681	100	16	svpam	svpam	NOUN
bibechana-11681	100	17	.	.	PUNCT
bibechana-11681	101	1	for	for	ADP
bibechana-11681	101	2	7	7	NUM
bibechana-11681	101	3	point	point	NOUN
bibechana-11681	101	4	dft	dft	NOUN
bibechana-11681	101	5	computation	computation	NOUN
bibechana-11681	101	6	of	of	ADP
bibechana-11681	101	7	the	the	DET
bibechana-11681	101	8	data	datum	NOUN
bibechana-11681	101	9	x(n	x(n	NOUN
bibechana-11681	101	10	)	)	PUNCT
bibechana-11681	101	11	=	=	PRON
bibechana-11681	101	12	{	{	PUNCT
bibechana-11681	101	13	1	1	NUM
bibechana-11681	101	14	,	,	PUNCT
bibechana-11681	101	15	2	2	NUM
bibechana-11681	101	16	,	,	PUNCT
bibechana-11681	101	17	3	3	NUM
bibechana-11681	101	18	,	,	PUNCT
bibechana-11681	101	19	4	4	NUM
bibechana-11681	101	20	}	}	PUNCT
bibechana-11681	101	21	.	.	PUNCT
bibechana-11681	102	1	select	select	VERB
bibechana-11681	102	2	the	the	DET
bibechana-11681	102	3	cmplx	cmplx	PROPN
bibechana-11681	102	4	mode	mode	NOUN
bibechana-11681	102	5	.	.	PUNCT
bibechana-11681	103	1	step	step	NOUN
bibechana-11681	103	2	by	by	ADP
bibechana-11681	103	3	step	step	NOUN
bibechana-11681	103	4	procedure	procedure	NOUN
bibechana-11681	103	5	is	be	AUX
bibechana-11681	103	6	as	as	SCONJ
bibechana-11681	103	7	follows	follow	VERB
bibechana-11681	103	8	.	.	PUNCT
bibechana-11681	104	1	yasin./	yasin./	NOUN
bibechana-11681	104	2	bibechana	bibechana	PROPN
bibechana-11681	104	3	12	12	NUM
bibechana-11681	104	4	(	(	PUNCT
bibechana-11681	104	5	2015	2015	NUM
bibechana-11681	104	6	)	)	PUNCT
bibechana-11681	104	7	13	13	NUM
bibechana-11681	104	8	-	-	SYM
bibechana-11681	104	9	19	19	NUM
bibechana-11681	104	10	:	:	PUNCT
bibechana-11681	104	11	p.	p.	NOUN
bibechana-11681	104	12	19	19	NUM
bibechana-11681	104	13	initialize	initialize	VERB
bibechana-11681	104	14	bajje	bajje	PROPN
bibechana-11681	104	15	j	j	PROPN
bibechana-11681	104	16	→→−=−=	→→−=−=	NOUN
bibechana-11681	104	17	−	−	PROPN
bibechana-11681	104	18	78183.062349.0	78183.062349.0	PROPN
bibechana-11681	104	19	)	)	PUNCT
bibechana-11681	104	20	7	7	NUM
bibechana-11681	104	21	2	2	NUM
bibechana-11681	104	22	sin	sin	NOUN
bibechana-11681	104	23	(	(	PUNCT
bibechana-11681	104	24	)	)	PUNCT
bibechana-11681	104	25	7	7	NUM
bibechana-11681	104	26	2	2	NUM
bibechana-11681	104	27	cos(7	cos(7	NOUN
bibechana-11681	104	28	2	2	NUM
bibechana-11681	104	29	πππ	πππ	ADJ
bibechana-11681	104	30	.	.	PUNCT
bibechana-11681	105	1	feed	feed	NOUN
bibechana-11681	105	2	)	)	PUNCT
bibechana-11681	105	3	)	)	PUNCT
bibechana-11681	106	1	43(2(1	43(2(1	NUM
bibechana-11681	106	2	aaa	aaa	VERB
bibechana-11681	106	3	+	+	PROPN
bibechana-11681	107	1	+	+	ADJ
bibechana-11681	108	1	+	+	X
bibechana-11681	108	2	=	=	X
bibechana-11681	108	3	x(1)=	x(1)=	PROPN
bibechana-11681	108	4	-2.0245	-2.0245	VERB
bibechana-11681	108	5	j6.2240	j6.2240	PROPN
bibechana-11681	108	6	rcl	rcl	NOUN
bibechana-11681	108	7	a	a	DET
bibechana-11681	108	8	rcl	rcl	NOUN
bibechana-11681	108	9	b	b	NOUN
bibechana-11681	108	10	=	=	SYM
bibechana-11681	108	11	ajab	ajab	PROPN
bibechana-11681	109	1	→−−=	→−−=	PROPN
bibechana-11681	109	2	974928.022252.0	974928.022252.0	PROPN
bibechana-11681	109	3	.	.	PUNCT
bibechana-11681	109	4	display	display	NOUN
bibechana-11681	109	5	)	)	PUNCT
bibechana-11681	109	6	)	)	PUNCT
bibechana-11681	109	7	43(2(1	43(2(1	NUM
bibechana-11681	109	8	aaa	aaa	VERB
bibechana-11681	110	1	+	+	PROPN
bibechana-11681	111	1	+	+	ADJ
bibechana-11681	111	2	+	+	ADJ
bibechana-11681	111	3	,	,	PUNCT
bibechana-11681	111	4	=	=	SYM
bibechana-11681	111	5	x(2	x(2	PROPN
bibechana-11681	111	6	)	)	PUNCT
bibechana-11681	111	7	=	=	PUNCT
bibechana-11681	112	1	0.3460	0.3460	NUM
bibechana-11681	113	1	+	+	NUM
bibechana-11681	113	2	j2.4791	j2.4791	PROPN
bibechana-11681	113	3	display	display	NOUN
bibechana-11681	113	4	aab	aab	NOUN
bibechana-11681	113	5	→	→	PUNCT
bibechana-11681	113	6	=	=	SYM
bibechana-11681	113	7	-0.9010	-0.9010	ADJ
bibechana-11681	113	8	j0.4339	j0.4339	PROPN
bibechana-11681	113	9	display	display	NOUN
bibechana-11681	113	10	)	)	PUNCT
bibechana-11681	113	11	)	)	PUNCT
bibechana-11681	113	12	43(2(1	43(2(1	NUM
bibechana-11681	113	13	aaa	aaa	VERB
bibechana-11681	114	1	+	+	PROPN
bibechana-11681	115	1	+	+	ADJ
bibechana-11681	115	2	+	+	ADJ
bibechana-11681	115	3	,	,	PUNCT
bibechana-11681	115	4	=	=	SYM
bibechana-11681	115	5	x(3)=	x(3)=	PROPN
bibechana-11681	115	6	0.1784	0.1784	NUM
bibechana-11681	115	7	-j2.4220	-j2.4220	SYM
bibechana-11681	115	8	.	.	PUNCT
bibechana-11681	115	9	repeat	repeat	VERB
bibechana-11681	115	10	this	this	PRON
bibechana-11681	115	11	and	and	CCONJ
bibechana-11681	115	12	obtain	obtain	VERB
bibechana-11681	115	13	x(4)=	x(4)=	PROPN
bibechana-11681	115	14	0.1784	0.1784	NUM
bibechana-11681	115	15	+	+	CCONJ
bibechana-11681	115	16	j2.4220	j2.4220	PROPN
bibechana-11681	115	17	,	,	PUNCT
bibechana-11681	115	18	x(5)=	x(5)=	NOUN
bibechana-11681	115	19	0.3460	0.3460	NUM
bibechana-11681	115	20	j2.4791	j2.4791	PROPN
bibechana-11681	115	21	,	,	PUNCT
bibechana-11681	115	22	and	and	CCONJ
bibechana-11681	115	23	x(6)=	x(6)=	PROPN
bibechana-11681	115	24	-2.0245	-2.0245	VERB
bibechana-11681	116	1	+	+	CCONJ
bibechana-11681	117	1	j6.2240	j6.2240	PROPN
bibechana-11681	117	2	.	.	PUNCT
bibechana-11681	118	1	the	the	DET
bibechana-11681	118	2	method	method	NOUN
bibechana-11681	118	3	is	be	AUX
bibechana-11681	118	4	so	so	ADV
bibechana-11681	118	5	simple	simple	ADJ
bibechana-11681	118	6	that	that	SCONJ
bibechana-11681	118	7	the	the	DET
bibechana-11681	118	8	dft	dft	PROPN
bibechana-11681	118	9	computation	computation	NOUN
bibechana-11681	118	10	is	be	AUX
bibechana-11681	118	11	merely	merely	ADV
bibechana-11681	118	12	a	a	DET
bibechana-11681	118	13	matter	matter	NOUN
bibechana-11681	118	14	of	of	ADP
bibechana-11681	118	15	a	a	DET
bibechana-11681	118	16	minute	minute	NOUN
bibechana-11681	118	17	.	.	PUNCT
bibechana-11681	119	1	idft	idft	ADJ
bibechana-11681	119	2	computation	computation	NOUN
bibechana-11681	119	3	is	be	AUX
bibechana-11681	119	4	similar	similar	ADJ
bibechana-11681	119	5	except	except	SCONJ
bibechana-11681	119	6	the	the	DET
bibechana-11681	119	7	initialization	initialization	NOUN
bibechana-11681	119	8	of	of	ADP
bibechana-11681	119	9	memories	memory	NOUN
bibechana-11681	119	10	for	for	ADP
bibechana-11681	119	11	n	n	PRON
bibechana-11681	119	12	j	j	PROPN
bibechana-11681	119	13	e	e	X
bibechana-11681	119	14	π2	π2	PROPN
bibechana-11681	119	15	+	+	CCONJ
bibechana-11681	119	16	and	and	CCONJ
bibechana-11681	119	17	each	each	DET
bibechana-11681	119	18	x(k	x(k	PROPN
bibechana-11681	119	19	)	)	PUNCT
bibechana-11681	119	20	must	must	AUX
bibechana-11681	119	21	be	be	AUX
bibechana-11681	119	22	divided	divide	VERB
bibechana-11681	119	23	by	by	ADP
bibechana-11681	119	24	n.	n.	NOUN
bibechana-11681	119	25	unfortunately	unfortunately	ADV
bibechana-11681	119	26	,	,	PUNCT
bibechana-11681	119	27	stacking	stack	VERB
bibechana-11681	119	28	in	in	ADP
bibechana-11681	119	29	cmplx	cmplx	PROPN
bibechana-11681	119	30	mode	mode	NOUN
bibechana-11681	119	31	is	be	AUX
bibechana-11681	119	32	limited	limit	VERB
bibechana-11681	119	33	to	to	PART
bibechana-11681	119	34	level	level	VERB
bibechana-11681	119	35	2	2	NUM
bibechana-11681	119	36	only	only	ADV
bibechana-11681	119	37	.	.	PUNCT
bibechana-11681	120	1	moreover	moreover	ADV
bibechana-11681	120	2	,	,	PUNCT
bibechana-11681	120	3	the	the	DET
bibechana-11681	120	4	power	power	NOUN
bibechana-11681	120	5	of	of	ADP
bibechana-11681	120	6	complex	complex	ADJ
bibechana-11681	120	7	number	number	NOUN
bibechana-11681	120	8	is	be	AUX
bibechana-11681	120	9	up	up	ADP
bibechana-11681	120	10	to	to	ADP
bibechana-11681	120	11	only	only	ADV
bibechana-11681	120	12	3	3	NUM
bibechana-11681	120	13	,	,	PUNCT
bibechana-11681	120	14	the	the	DET
bibechana-11681	120	15	built	build	VERB
bibechana-11681	120	16	-	-	PUNCT
bibechana-11681	120	17	in	in	ADP
bibechana-11681	120	18	function	function	NOUN
bibechana-11681	120	19	.	.	PUNCT
bibechana-11681	121	1	the	the	DET
bibechana-11681	121	2	power	power	NOUN
bibechana-11681	121	3	may	may	AUX
bibechana-11681	121	4	be	be	AUX
bibechana-11681	121	5	resolved	resolve	VERB
bibechana-11681	121	6	like	like	ADP
bibechana-11681	121	7	235	235	NUM
bibechana-11681	121	8	.aaa	.aaa	NOUN
bibechana-11681	122	1	=	=	PUNCT
bibechana-11681	122	2	.	.	PUNCT
bibechana-11681	123	1	combining	combine	VERB
bibechana-11681	123	2	the	the	DET
bibechana-11681	123	3	stacking	stacking	NOUN
bibechana-11681	123	4	and	and	CCONJ
bibechana-11681	123	5	power	power	NOUN
bibechana-11681	123	6	resolving	resolving	NOUN
bibechana-11681	123	7	,	,	PUNCT
bibechana-11681	123	8	the	the	DET
bibechana-11681	123	9	range	range	NOUN
bibechana-11681	123	10	for	for	ADP
bibechana-11681	123	11	dft	dft	PROPN
bibechana-11681	123	12	/	/	SYM
bibechana-11681	123	13	idft	idft	NOUN
bibechana-11681	123	14	computation	computation	NOUN
bibechana-11681	123	15	can	can	AUX
bibechana-11681	123	16	be	be	AUX
bibechana-11681	123	17	easily	easily	ADV
bibechana-11681	123	18	raised	raise	VERB
bibechana-11681	123	19	.	.	PUNCT
bibechana-11681	124	1	4	4	X
bibechana-11681	124	2	.	.	X
bibechana-11681	124	3	conclusion	conclusion	NOUN
bibechana-11681	124	4	the	the	DET
bibechana-11681	124	5	scheme	scheme	NOUN
bibechana-11681	124	6	presented	present	VERB
bibechana-11681	124	7	above	above	ADV
bibechana-11681	124	8	can	can	AUX
bibechana-11681	124	9	be	be	AUX
bibechana-11681	124	10	applied	apply	VERB
bibechana-11681	124	11	to	to	ADP
bibechana-11681	124	12	real	real	ADJ
bibechana-11681	124	13	or	or	CCONJ
bibechana-11681	124	14	complex	complex	ADJ
bibechana-11681	124	15	functions	function	NOUN
bibechana-11681	124	16	both	both	PRON
bibechana-11681	124	17	,	,	PUNCT
bibechana-11681	124	18	with	with	ADP
bibechana-11681	124	19	the	the	DET
bibechana-11681	124	20	same	same	ADJ
bibechana-11681	124	21	ease	ease	NOUN
bibechana-11681	124	22	.	.	PUNCT
bibechana-11681	125	1	radix	radix	PROPN
bibechana-11681	125	2	–	–	PUNCT
bibechana-11681	125	3	2	2	NUM
bibechana-11681	125	4	algorithms	algorithm	NOUN
bibechana-11681	125	5	popular	popular	ADJ
bibechana-11681	125	6	for	for	ADP
bibechana-11681	125	7	dft	dft	PROPN
bibechana-11681	125	8	/	/	SYM
bibechana-11681	125	9	idft	idft	NOUN
bibechana-11681	125	10	computation	computation	NOUN
bibechana-11681	125	11	,	,	PUNCT
bibechana-11681	125	12	but	but	CCONJ
bibechana-11681	125	13	these	these	DET
bibechana-11681	125	14	algorithms	algorithm	NOUN
bibechana-11681	125	15	also	also	ADV
bibechana-11681	125	16	get	get	VERB
bibechana-11681	125	17	more	more	ADJ
bibechana-11681	125	18	and	and	CCONJ
bibechana-11681	125	19	more	more	ADV
bibechana-11681	125	20	complicated	complicated	ADJ
bibechana-11681	125	21	for	for	ADP
bibechana-11681	125	22	radix	radix	NOUN
bibechana-11681	125	23	>	>	X
bibechana-11681	125	24	3	3	NUM
bibechana-11681	125	25	.	.	PUNCT
bibechana-11681	126	1	however	however	ADV
bibechana-11681	126	2	,	,	PUNCT
bibechana-11681	126	3	the	the	DET
bibechana-11681	126	4	scheme	scheme	NOUN
bibechana-11681	126	5	presented	present	VERB
bibechana-11681	126	6	here	here	ADV
bibechana-11681	126	7	is	be	AUX
bibechana-11681	126	8	simple	simple	ADJ
bibechana-11681	126	9	and	and	CCONJ
bibechana-11681	126	10	is	be	AUX
bibechana-11681	126	11	radix	radix	PROPN
bibechana-11681	126	12	independent	independent	NOUN
bibechana-11681	126	13	and	and	CCONJ
bibechana-11681	126	14	can	can	AUX
bibechana-11681	126	15	be	be	AUX
bibechana-11681	126	16	considered	consider	VERB
bibechana-11681	126	17	as	as	ADP
bibechana-11681	126	18	a	a	DET
bibechana-11681	126	19	tool	tool	NOUN
bibechana-11681	126	20	as	as	ADV
bibechana-11681	126	21	far	far	ADV
bibechana-11681	126	22	as	as	SCONJ
bibechana-11681	126	23	the	the	DET
bibechana-11681	126	24	textual	textual	ADJ
bibechana-11681	126	25	length	length	NOUN
bibechana-11681	126	26	of	of	ADP
bibechana-11681	126	27	the	the	DET
bibechana-11681	126	28	equations	equation	NOUN
bibechana-11681	126	29	(	(	PUNCT
bibechana-11681	126	30	16	16	NUM
bibechana-11681	126	31	)	)	PUNCT
bibechana-11681	126	32	or	or	CCONJ
bibechana-11681	126	33	(	(	PUNCT
bibechana-11681	126	34	17	17	NUM
bibechana-11681	126	35	)	)	PUNCT
bibechana-11681	126	36	is	be	AUX
bibechana-11681	126	37	permissible	permissible	ADJ
bibechana-11681	126	38	by	by	ADP
bibechana-11681	126	39	a	a	DET
bibechana-11681	126	40	calculator	calculator	NOUN
bibechana-11681	126	41	display	display	NOUN
bibechana-11681	126	42	.	.	PUNCT
bibechana-11681	127	1	for	for	ADP
bibechana-11681	127	2	educational	educational	ADJ
bibechana-11681	127	3	purpose	purpose	NOUN
bibechana-11681	127	4	,	,	PUNCT
bibechana-11681	127	5	usually	usually	ADV
bibechana-11681	127	6	small	small	ADJ
bibechana-11681	127	7	order	order	NOUN
bibechana-11681	127	8	computations	computation	NOUN
bibechana-11681	127	9	are	be	AUX
bibechana-11681	127	10	considered	consider	VERB
bibechana-11681	127	11	,	,	PUNCT
bibechana-11681	127	12	therefore	therefore	ADV
bibechana-11681	127	13	,	,	PUNCT
bibechana-11681	127	14	the	the	DET
bibechana-11681	127	15	scheme	scheme	NOUN
bibechana-11681	127	16	presented	present	VERB
bibechana-11681	127	17	here	here	ADV
bibechana-11681	127	18	can	can	AUX
bibechana-11681	127	19	be	be	AUX
bibechana-11681	127	20	a	a	DET
bibechana-11681	127	21	useful	useful	ADJ
bibechana-11681	127	22	method	method	NOUN
bibechana-11681	127	23	.	.	PUNCT
bibechana-11681	128	1	references	reference	NOUN
bibechana-11681	128	2	[	[	X
bibechana-11681	128	3	1	1	X
bibechana-11681	128	4	]	]	PUNCT
bibechana-11681	128	5	j.	j.	PROPN
bibechana-11681	128	6	millman	millman	PROPN
bibechana-11681	128	7	,	,	PUNCT
bibechana-11681	128	8	a.	a.	NOUN
bibechana-11681	128	9	grabel	grabel	NOUN
bibechana-11681	128	10	,	,	PUNCT
bibechana-11681	128	11	microelectronics	microelectronic	NOUN
bibechana-11681	128	12	,	,	PUNCT
bibechana-11681	128	13	2	2	NUM
bibechana-11681	128	14	nd	nd	NOUN
bibechana-11681	128	15	edition	edition	NOUN
bibechana-11681	128	16	,	,	PUNCT
bibechana-11681	128	17	25	25	NUM
bibechana-11681	128	18	th	th	NUM
bibechana-11681	128	19	reprint	reprint	NOUN
bibechana-11681	128	20	,	,	PUNCT
bibechana-11681	128	21	india	india	PROPN
bibechana-11681	128	22	edition	edition	PROPN
bibechana-11681	128	23	,	,	PUNCT
bibechana-11681	128	24	tata	tata	NOUN
bibechana-11681	128	25	mcgrawhill	mcgrawhill	NOUN
bibechana-11681	128	26	.	.	PUNCT
bibechana-11681	129	1	(	(	PUNCT
bibechana-11681	129	2	2010	2010	NUM
bibechana-11681	129	3	)	)	PUNCT
bibechana-11681	129	4	.	.	PUNCT
bibechana-11681	130	1	[	[	X
bibechana-11681	130	2	2	2	X
bibechana-11681	130	3	]	]	PUNCT
bibechana-11681	130	4	m.	m.	NOUN
bibechana-11681	130	5	y.	y.	PROPN
bibechana-11681	130	6	yasin	yasin	PROPN
bibechana-11681	130	7	,	,	PUNCT
bibechana-11681	130	8	bibechana	bibechana	NOUN
bibechana-11681	130	9	8	8	NUM
bibechana-11681	130	10	(	(	PUNCT
bibechana-11681	130	11	2012	2012	NUM
bibechana-11681	130	12	)	)	PUNCT
bibechana-11681	130	13	31	31	NUM
bibechana-11681	130	14	-	-	SYM
bibechana-11681	130	15	36	36	NUM
bibechana-11681	130	16	.	.	PUNCT
bibechana-11681	130	17	http://dx.doi.org/10.3126/bibechana.v8i0.4702	http://dx.doi.org/10.3126/bibechana.v8i0.4702	PUNCT
bibechana-11681	131	1	[	[	X
bibechana-11681	131	2	3	3	NUM
bibechana-11681	131	3	]	]	PUNCT
bibechana-11681	131	4	m.	m.	NOUN
bibechana-11681	131	5	y.	y.	PROPN
bibechana-11681	131	6	yasin	yasin	PROPN
bibechana-11681	131	7	,	,	PUNCT
bibechana-11681	131	8	bibechana	bibechana	PROPN
bibechana-11681	131	9	9	9	NUM
bibechana-11681	131	10	(	(	PUNCT
bibechana-11681	131	11	2013	2013	NUM
bibechana-11681	131	12	)	)	PUNCT
bibechana-11681	131	13	18	18	NUM
bibechana-11681	131	14	-	-	SYM
bibechana-11681	131	15	27	27	NUM
bibechana-11681	131	16	.	.	PUNCT
bibechana-11681	132	1	http://dx.doi.org/10.3126/bibechana.v9i0.7148	http://dx.doi.org/10.3126/bibechana.v9i0.7148	X
bibechana-11681	132	2	[	[	X
bibechana-11681	132	3	4	4	X
bibechana-11681	132	4	]	]	X
bibechana-11681	132	5	e.	e.	PROPN
bibechana-11681	132	6	kreyszig	kreyszig	PROPN
bibechana-11681	132	7	,	,	PUNCT
bibechana-11681	132	8	advanced	advanced	ADJ
bibechana-11681	132	9	engineering	engineering	NOUN
bibechana-11681	132	10	mathematics	mathematic	NOUN
bibechana-11681	132	11	,	,	PUNCT
bibechana-11681	132	12	5th	5th	ADJ
bibechana-11681	132	13	edition	edition	NOUN
bibechana-11681	132	14	,	,	PUNCT
bibechana-11681	132	15	john	john	PROPN
bibechana-11681	132	16	wiley	wiley	PROPN
bibechana-11681	132	17	&	&	CCONJ
bibechana-11681	132	18	sons	sons	PROPN
bibechana-11681	132	19	.	.	PUNCT
bibechana-11681	133	1	inc	inc	PROPN
bibechana-11681	134	1	.	.	PROPN
bibechana-11681	134	2	,	,	PUNCT
bibechana-11681	134	3	5th	5th	ADJ
bibechana-11681	134	4	wiley	wiley	PROPN
bibechana-11681	134	5	eastern	eastern	PROPN
bibechana-11681	134	6	reprint	reprint	NOUN
bibechana-11681	134	7	(	(	PUNCT
bibechana-11681	134	8	1989	1989	NUM
bibechana-11681	134	9	)	)	PUNCT
bibechana-11681	134	10	.	.	PUNCT
bibechana-11681	135	1	[	[	X
bibechana-11681	135	2	5	5	X
bibechana-11681	135	3	]	]	X
bibechana-11681	135	4	john	john	PROPN
bibechana-11681	135	5	g.	g.	PROPN
bibechana-11681	135	6	proakis	proakis	PROPN
bibechana-11681	135	7	,	,	PUNCT
bibechana-11681	135	8	dimitris	dimitris	PROPN
bibechana-11681	135	9	g.	g.	PROPN
bibechana-11681	135	10	manolakis	manolakis	PROPN
bibechana-11681	135	11	,	,	PUNCT
bibechana-11681	135	12	digital	digital	ADJ
bibechana-11681	135	13	signal	signal	NOUN
bibechana-11681	135	14	processing	processing	NOUN
bibechana-11681	135	15	:	:	PUNCT
bibechana-11681	135	16	principles	principle	NOUN
bibechana-11681	135	17	,	,	PUNCT
bibechana-11681	135	18	algorithms	algorithm	NOUN
bibechana-11681	135	19	and	and	CCONJ
bibechana-11681	135	20	applications	application	NOUN
bibechana-11681	135	21	,	,	PUNCT
bibechana-11681	135	22	4th	4th	ADJ
bibechana-11681	135	23	edition	edition	NOUN
bibechana-11681	135	24	,	,	PUNCT
bibechana-11681	135	25	pearson	pearson	PROPN
bibechana-11681	135	26	education	education	PROPN
bibechana-11681	135	27	(	(	PUNCT
bibechana-11681	135	28	2007	2007	NUM
bibechana-11681	135	29	)	)	PUNCT
bibechana-11681	135	30	.	.	PUNCT