id	sid	tid	token	lemma	pos
fcis-22003	1	1	frontiers	frontier	NOUN
fcis-22003	1	2	in	in	ADP
fcis-22003	1	3	computing	computing	NOUN
fcis-22003	1	4	and	and	CCONJ
fcis-22003	1	5	intelligent	intelligent	ADJ
fcis-22003	1	6	systems	system	NOUN
fcis-22003	1	7	issn	issn	VERB
fcis-22003	1	8	:	:	PUNCT
fcis-22003	1	9	2832	2832	NUM
fcis-22003	1	10	-	-	SYM
fcis-22003	1	11	6024	6024	NUM
fcis-22003	1	12	|	|	NOUN
fcis-22003	1	13	vol	vol	NOUN
fcis-22003	1	14	.	.	PROPN
fcis-22003	2	1	8	8	NUM
fcis-22003	2	2	,	,	PUNCT
fcis-22003	2	3	no	no	INTJ
fcis-22003	2	4	.	.	NOUN
fcis-22003	2	5	2	2	NUM
fcis-22003	2	6	,	,	PUNCT
fcis-22003	2	7	2024	2024	NUM
fcis-22003	2	8	29	29	NUM
fcis-22003	2	9	research	research	NOUN
fcis-22003	2	10	on	on	ADP
fcis-22003	2	11	multi	multi	ADJ
fcis-22003	2	12	-	-	ADJ
fcis-22003	2	13	beam	beam	ADJ
fcis-22003	2	14	line	line	NOUN
fcis-22003	2	15	finding	finding	NOUN
fcis-22003	2	16	problem	problem	NOUN
fcis-22003	2	17	and	and	CCONJ
fcis-22003	2	18	optimal	optimal	ADJ
fcis-22003	2	19	line	line	NOUN
fcis-22003	2	20	finding	finding	NOUN
fcis-22003	2	21	path	path	NOUN
fcis-22003	2	22	based	base	VERB
fcis-22003	2	23	on	on	ADP
fcis-22003	2	24	exhaustion	exhaustion	NOUN
fcis-22003	2	25	method	method	NOUN
fcis-22003	2	26	yuxuan	yuxuan	PROPN
fcis-22003	2	27	lu	lu	PROPN
fcis-22003	2	28	*	*	PUNCT
fcis-22003	2	29	school	school	NOUN
fcis-22003	2	30	of	of	ADP
fcis-22003	2	31	finance	finance	NOUN
fcis-22003	2	32	,	,	PUNCT
fcis-22003	2	33	central	central	ADJ
fcis-22003	2	34	university	university	NOUN
fcis-22003	2	35	of	of	ADP
fcis-22003	2	36	finance	finance	NOUN
fcis-22003	2	37	and	and	CCONJ
fcis-22003	2	38	economics	economic	NOUN
fcis-22003	2	39	,	,	PUNCT
fcis-22003	2	40	beijing	beijing	PROPN
fcis-22003	2	41	,	,	PUNCT
fcis-22003	2	42	china	china	PROPN
fcis-22003	2	43	*	*	PUNCT
fcis-22003	2	44	corresponding	correspond	VERB
fcis-22003	2	45	author	author	NOUN
fcis-22003	2	46	email	email	NOUN
fcis-22003	2	47	:	:	PUNCT
fcis-22003	2	48	lyxcufe2022@126.com	lyxcufe2022@126.com	PROPN
fcis-22003	2	49	abstract	abstract	NOUN
fcis-22003	2	50	:	:	PUNCT
fcis-22003	2	51	in	in	ADP
fcis-22003	2	52	this	this	DET
fcis-22003	2	53	paper	paper	NOUN
fcis-22003	2	54	,	,	PUNCT
fcis-22003	2	55	the	the	DET
fcis-22003	2	56	multi	multi	ADJ
fcis-22003	2	57	-	-	ADJ
fcis-22003	2	58	beam	beam	ADJ
fcis-22003	2	59	line	line	NOUN
fcis-22003	2	60	measurement	measurement	NOUN
fcis-22003	2	61	problem	problem	NOUN
fcis-22003	2	62	is	be	AUX
fcis-22003	2	63	studied	study	VERB
fcis-22003	2	64	,	,	PUNCT
fcis-22003	2	65	solving	solve	VERB
fcis-22003	2	66	the	the	DET
fcis-22003	2	67	relevant	relevant	ADJ
fcis-22003	2	68	data	datum	NOUN
fcis-22003	2	69	of	of	ADP
fcis-22003	2	70	different	different	ADJ
fcis-22003	2	71	seabed	seabed	NOUN
fcis-22003	2	72	slope	slope	NOUN
fcis-22003	2	73	and	and	CCONJ
fcis-22003	2	74	line	line	NOUN
fcis-22003	2	75	measurement	measurement	NOUN
fcis-22003	2	76	,	,	PUNCT
fcis-22003	2	77	and	and	CCONJ
fcis-22003	2	78	establishing	establish	VERB
fcis-22003	2	79	a	a	DET
fcis-22003	2	80	multi	multi	ADJ
fcis-22003	2	81	-	-	ADJ
fcis-22003	2	82	beam	beam	ADJ
fcis-22003	2	83	line	line	NOUN
fcis-22003	2	84	measurement	measurement	NOUN
fcis-22003	2	85	model	model	NOUN
fcis-22003	2	86	based	base	VERB
fcis-22003	2	87	on	on	ADP
fcis-22003	2	88	it	it	PRON
fcis-22003	2	89	,	,	PUNCT
fcis-22003	2	90	simulating	simulate	VERB
fcis-22003	2	91	the	the	DET
fcis-22003	2	92	work	work	NOUN
fcis-22003	2	93	of	of	ADP
fcis-22003	2	94	multibeam	multibeam	PROPN
fcis-22003	2	95	line	line	NOUN
fcis-22003	2	96	measurement	measurement	PROPN
fcis-22003	2	97	,	,	PUNCT
fcis-22003	2	98	using	use	VERB
fcis-22003	2	99	ergodic	ergodic	ADJ
fcis-22003	2	100	and	and	CCONJ
fcis-22003	2	101	iterative	iterative	ADJ
fcis-22003	2	102	algorithms	algorithm	NOUN
fcis-22003	2	103	,	,	PUNCT
fcis-22003	2	104	to	to	PART
fcis-22003	2	105	achieve	achieve	VERB
fcis-22003	2	106	the	the	DET
fcis-22003	2	107	best	good	ADJ
fcis-22003	2	108	line	line	NOUN
fcis-22003	2	109	measurement	measurement	NOUN
fcis-22003	2	110	path	path	NOUN
fcis-22003	2	111	design	design	NOUN
fcis-22003	2	112	and	and	CCONJ
fcis-22003	2	113	calculation	calculation	NOUN
fcis-22003	2	114	of	of	ADP
fcis-22003	2	115	uneven	uneven	ADJ
fcis-22003	2	116	sea	sea	NOUN
fcis-22003	2	117	area	area	NOUN
fcis-22003	2	118	.	.	PUNCT
fcis-22003	3	1	first	first	ADV
fcis-22003	3	2	of	of	ADP
fcis-22003	3	3	all	all	PRON
fcis-22003	3	4	,	,	PUNCT
fcis-22003	3	5	the	the	DET
fcis-22003	3	6	mathematical	mathematical	ADJ
fcis-22003	3	7	model	model	NOUN
fcis-22003	3	8	of	of	ADP
fcis-22003	3	9	multi	multi	ADJ
fcis-22003	3	10	-	-	ADJ
fcis-22003	3	11	beam	beam	ADJ
fcis-22003	3	12	line	line	NOUN
fcis-22003	3	13	surveying	survey	VERB
fcis-22003	3	14	with	with	ADP
fcis-22003	3	15	variable	variable	ADJ
fcis-22003	3	16	direction	direction	NOUN
fcis-22003	3	17	of	of	ADP
fcis-22003	3	18	line	line	NOUN
fcis-22003	3	19	surveying	surveying	NOUN
fcis-22003	3	20	is	be	AUX
fcis-22003	3	21	obtained	obtain	VERB
fcis-22003	3	22	through	through	ADP
fcis-22003	3	23	geometric	geometric	ADJ
fcis-22003	3	24	relation	relation	NOUN
fcis-22003	3	25	and	and	CCONJ
fcis-22003	3	26	sine	sine	NOUN
fcis-22003	3	27	and	and	CCONJ
fcis-22003	3	28	cosine	cosine	NOUN
fcis-22003	3	29	theorem	theorem	PROPN
fcis-22003	3	30	,	,	PUNCT
fcis-22003	3	31	etc	etc	X
fcis-22003	3	32	.	.	X
fcis-22003	3	33	,	,	PUNCT
fcis-22003	3	34	and	and	CCONJ
fcis-22003	3	35	the	the	DET
fcis-22003	3	36	coverage	coverage	NOUN
fcis-22003	3	37	width	width	NOUN
fcis-22003	3	38	𝑊	𝑊	PROPN
fcis-22003	3	39	,	,	PUNCT
fcis-22003	3	40	overlap	overlap	NOUN
fcis-22003	3	41	rate	rate	NOUN
fcis-22003	3	42	between	between	ADP
fcis-22003	3	43	lines	line	NOUN
fcis-22003	3	44	𝜂	𝜂	PROPN
fcis-22003	3	45	and	and	CCONJ
fcis-22003	3	46	sea	sea	NOUN
fcis-22003	3	47	depth	depth	NOUN
fcis-22003	3	48	𝐷	𝐷	NOUN
fcis-22003	3	49	of	of	ADP
fcis-22003	3	50	measuring	measure	VERB
fcis-22003	3	51	ships	ship	NOUN
fcis-22003	3	52	at	at	ADP
fcis-22003	3	53	different	different	ADJ
fcis-22003	3	54	positions	position	NOUN
fcis-22003	3	55	are	be	AUX
fcis-22003	3	56	solved	solve	VERB
fcis-22003	3	57	.	.	PUNCT
fcis-22003	4	1	secondly	secondly	ADV
fcis-22003	4	2	,	,	PUNCT
fcis-22003	4	3	the	the	DET
fcis-22003	4	4	characteristics	characteristic	NOUN
fcis-22003	4	5	of	of	ADP
fcis-22003	4	6	sea	sea	NOUN
fcis-22003	4	7	terrain	terrain	NOUN
fcis-22003	4	8	are	be	AUX
fcis-22003	4	9	analyzed	analyze	VERB
fcis-22003	4	10	,	,	PUNCT
fcis-22003	4	11	and	and	CCONJ
fcis-22003	4	12	the	the	DET
fcis-22003	4	13	variation	variation	NOUN
fcis-22003	4	14	law	law	NOUN
fcis-22003	4	15	of	of	ADP
fcis-22003	4	16	the	the	DET
fcis-22003	4	17	coverage	coverage	NOUN
fcis-22003	4	18	width	width	NOUN
fcis-22003	4	19	𝑊	𝑊	PROPN
fcis-22003	4	20	of	of	ADP
fcis-22003	4	21	the	the	DET
fcis-22003	4	22	measured	measured	ADJ
fcis-22003	4	23	line	line	NOUN
fcis-22003	4	24	with	with	ADP
fcis-22003	4	25	the	the	DET
fcis-22003	4	26	angle	angle	NOUN
fcis-22003	4	27	of	of	ADP
fcis-22003	4	28	the	the	DET
fcis-22003	4	29	measured	measure	VERB
fcis-22003	4	30	line	line	NOUN
fcis-22003	4	31	direction	direction	NOUN
fcis-22003	4	32	𝛽	𝛽	NOUN
fcis-22003	4	33	is	be	AUX
fcis-22003	4	34	explored	explore	VERB
fcis-22003	4	35	.	.	PUNCT
fcis-22003	5	1	finally	finally	ADV
fcis-22003	5	2	,	,	PUNCT
fcis-22003	5	3	whether	whether	SCONJ
fcis-22003	5	4	the	the	DET
fcis-22003	5	5	beginning	beginning	NOUN
fcis-22003	5	6	and	and	CCONJ
fcis-22003	5	7	end	end	VERB
fcis-22003	5	8	points	point	NOUN
fcis-22003	5	9	of	of	ADP
fcis-22003	5	10	the	the	DET
fcis-22003	5	11	survey	survey	NOUN
fcis-22003	5	12	line	line	NOUN
fcis-22003	5	13	reach	reach	VERB
fcis-22003	5	14	the	the	DET
fcis-22003	5	15	north	north	NOUN
fcis-22003	5	16	and	and	CCONJ
fcis-22003	5	17	south	south	ADJ
fcis-22003	5	18	banks	bank	NOUN
fcis-22003	5	19	is	be	AUX
fcis-22003	5	20	classified	classify	VERB
fcis-22003	5	21	and	and	CCONJ
fcis-22003	5	22	discussed	discuss	VERB
fcis-22003	5	23	,	,	PUNCT
fcis-22003	5	24	and	and	CCONJ
fcis-22003	5	25	the	the	DET
fcis-22003	5	26	traversal	traversal	NOUN
fcis-22003	5	27	calculation	calculation	NOUN
fcis-22003	5	28	method	method	NOUN
fcis-22003	5	29	is	be	AUX
fcis-22003	5	30	designed	design	VERB
fcis-22003	5	31	to	to	PART
fcis-22003	5	32	exhaustively	exhaustively	ADV
fcis-22003	5	33	explore	explore	VERB
fcis-22003	5	34	all	all	DET
fcis-22003	5	35	possible	possible	ADJ
fcis-22003	5	36	points	point	NOUN
fcis-22003	5	37	and	and	CCONJ
fcis-22003	5	38	solve	solve	VERB
fcis-22003	5	39	the	the	DET
fcis-22003	5	40	minimum	minimum	ADJ
fcis-22003	5	41	points	point	NOUN
fcis-22003	5	42	.	.	PUNCT
fcis-22003	6	1	keywords	keyword	NOUN
fcis-22003	6	2	:	:	PUNCT
fcis-22003	6	3	loop	loop	NOUN
fcis-22003	6	4	traversal	traversal	NOUN
fcis-22003	6	5	;	;	PUNCT
fcis-22003	6	6	calculation	calculation	NOUN
fcis-22003	6	7	geometry	geometry	NOUN
fcis-22003	6	8	;	;	PUNCT
fcis-22003	6	9	multi	multi	ADJ
fcis-22003	6	10	-	-	ADJ
fcis-22003	6	11	beam	beam	ADJ
fcis-22003	6	12	line	line	NOUN
fcis-22003	6	13	measurement	measurement	NOUN
fcis-22003	6	14	.	.	PUNCT
fcis-22003	7	1	1	1	X
fcis-22003	7	2	.	.	X
fcis-22003	7	3	introduction	introduction	NOUN
fcis-22003	7	4	in	in	ADP
fcis-22003	7	5	the	the	DET
fcis-22003	7	6	1980s	1980s	NUM
fcis-22003	7	7	,	,	PUNCT
fcis-22003	7	8	multi	multi	ADJ
fcis-22003	7	9	-	-	ADJ
fcis-22003	7	10	beam	beam	ADJ
fcis-22003	7	11	sounding	sound	VERB
fcis-22003	7	12	technology	technology	NOUN
fcis-22003	7	13	emerged	emerge	VERB
fcis-22003	7	14	,	,	PUNCT
fcis-22003	7	15	and	and	CCONJ
fcis-22003	7	16	has	have	AUX
fcis-22003	7	17	been	be	AUX
fcis-22003	7	18	developed	develop	VERB
fcis-22003	7	19	into	into	ADP
fcis-22003	7	20	the	the	DET
fcis-22003	7	21	mainstream	mainstream	NOUN
fcis-22003	7	22	detection	detection	NOUN
fcis-22003	7	23	mode	mode	NOUN
fcis-22003	7	24	of	of	ADP
fcis-22003	7	25	seabed	seabed	NOUN
fcis-22003	7	26	sounding	sound	VERB
fcis-22003	7	27	.	.	PUNCT
fcis-22003	8	1	multi	multi	ADJ
fcis-22003	8	2	-	-	ADJ
fcis-22003	8	3	beam	beam	ADJ
fcis-22003	8	4	sounding	sounding	NOUN
fcis-22003	8	5	is	be	AUX
fcis-22003	8	6	based	base	VERB
fcis-22003	8	7	on	on	ADP
fcis-22003	8	8	single	single	ADJ
fcis-22003	8	9	beam	beam	NOUN
fcis-22003	8	10	sounding	sounding	NOUN
fcis-22003	8	11	,	,	PUNCT
fcis-22003	8	12	which	which	PRON
fcis-22003	8	13	is	be	AUX
fcis-22003	8	14	characterized	characterize	VERB
fcis-22003	8	15	by	by	ADP
fcis-22003	8	16	full	full	ADJ
fcis-22003	8	17	coverage	coverage	NOUN
fcis-22003	8	18	and	and	CCONJ
fcis-22003	8	19	high	high	ADJ
fcis-22003	8	20	precision	precision	NOUN
fcis-22003	8	21	.	.	PUNCT
fcis-22003	9	1	the	the	DET
fcis-22003	9	2	multi	multi	ADJ
fcis-22003	9	3	-	-	ADJ
fcis-22003	9	4	beam	beam	ADJ
fcis-22003	9	5	surveying	surveying	NOUN
fcis-22003	9	6	line	line	NOUN
fcis-22003	9	7	can	can	AUX
fcis-22003	9	8	change	change	VERB
fcis-22003	9	9	the	the	DET
fcis-22003	9	10	angle	angle	NOUN
fcis-22003	9	11	of	of	ADP
fcis-22003	9	12	the	the	DET
fcis-22003	9	13	transducer	transducer	NOUN
fcis-22003	9	14	and	and	CCONJ
fcis-22003	9	15	send	send	VERB
fcis-22003	9	16	out	out	ADP
fcis-22003	9	17	dozens	dozen	NOUN
fcis-22003	9	18	or	or	CCONJ
fcis-22003	9	19	even	even	ADV
fcis-22003	9	20	hundreds	hundred	NOUN
fcis-22003	9	21	of	of	ADP
fcis-22003	9	22	beams	beam	NOUN
fcis-22003	9	23	in	in	ADP
fcis-22003	9	24	the	the	DET
fcis-22003	9	25	vertical	vertical	ADJ
fcis-22003	9	26	plane	plane	NOUN
fcis-22003	9	27	of	of	ADP
fcis-22003	9	28	the	the	DET
fcis-22003	9	29	surveying	surveying	NOUN
fcis-22003	9	30	line	line	NOUN
fcis-22003	9	31	direction	direction	NOUN
fcis-22003	9	32	at	at	ADP
fcis-22003	9	33	a	a	DET
fcis-22003	9	34	time	time	NOUN
fcis-22003	9	35	,	,	PUNCT
fcis-22003	9	36	so	so	SCONJ
fcis-22003	9	37	as	as	SCONJ
fcis-22003	9	38	to	to	PART
fcis-22003	9	39	enlarge	enlarge	VERB
fcis-22003	9	40	the	the	DET
fcis-22003	9	41	width	width	NOUN
fcis-22003	9	42	of	of	ADP
fcis-22003	9	43	the	the	DET
fcis-22003	9	44	surveying	surveying	NOUN
fcis-22003	9	45	line	line	NOUN
fcis-22003	9	46	and	and	CCONJ
fcis-22003	9	47	form	form	VERB
fcis-22003	9	48	the	the	DET
fcis-22003	9	49	purpose	purpose	NOUN
fcis-22003	9	50	of	of	ADP
fcis-22003	9	51	the	the	DET
fcis-22003	9	52	full	full	ADJ
fcis-22003	9	53	coverage	coverage	NOUN
fcis-22003	9	54	of	of	ADP
fcis-22003	9	55	the	the	DET
fcis-22003	9	56	water	water	NOUN
fcis-22003	9	57	depth	depth	NOUN
fcis-22003	9	58	strip	strip	NOUN
fcis-22003	10	1	[	[	X
fcis-22003	10	2	1	1	NUM
fcis-22003	10	3	-	-	SYM
fcis-22003	10	4	3	3	NUM
fcis-22003	10	5	]	]	PUNCT
fcis-22003	10	6	.	.	PUNCT
fcis-22003	11	1	but	but	CCONJ
fcis-22003	11	2	at	at	ADP
fcis-22003	11	3	the	the	DET
fcis-22003	11	4	same	same	ADJ
fcis-22003	11	5	time	time	NOUN
fcis-22003	11	6	,	,	PUNCT
fcis-22003	11	7	multi	multi	ADJ
fcis-22003	11	8	-	-	ADJ
fcis-22003	11	9	beam	beam	ADJ
fcis-22003	11	10	sounding	sounding	NOUN
fcis-22003	11	11	also	also	ADV
fcis-22003	11	12	faces	face	VERB
fcis-22003	11	13	the	the	DET
fcis-22003	11	14	problem	problem	NOUN
fcis-22003	11	15	of	of	ADP
fcis-22003	11	16	seabed	seabed	ADJ
fcis-22003	11	17	topography	topography	NOUN
fcis-22003	11	18	fluctuation	fluctuation	NOUN
fcis-22003	11	19	.	.	PUNCT
fcis-22003	12	1	based	base	VERB
fcis-22003	12	2	on	on	ADP
fcis-22003	12	3	the	the	DET
fcis-22003	12	4	ergodic	ergodic	ADJ
fcis-22003	12	5	exhaustive	exhaustive	ADJ
fcis-22003	12	6	algorithm	algorithm	NOUN
fcis-22003	12	7	,	,	PUNCT
fcis-22003	12	8	this	this	DET
fcis-22003	12	9	paper	paper	NOUN
fcis-22003	12	10	studies	study	NOUN
fcis-22003	12	11	how	how	SCONJ
fcis-22003	12	12	to	to	PART
fcis-22003	12	13	calculate	calculate	VERB
fcis-22003	12	14	the	the	DET
fcis-22003	12	15	coverage	coverage	NOUN
fcis-22003	12	16	width	width	NOUN
fcis-22003	12	17	and	and	CCONJ
fcis-22003	12	18	overlap	overlap	NOUN
fcis-22003	12	19	rate	rate	NOUN
fcis-22003	12	20	of	of	ADP
fcis-22003	12	21	the	the	DET
fcis-22003	12	22	survey	survey	NOUN
fcis-22003	12	23	line	line	NOUN
fcis-22003	12	24	under	under	ADP
fcis-22003	12	25	different	different	ADJ
fcis-22003	12	26	conditions	condition	NOUN
fcis-22003	12	27	and	and	CCONJ
fcis-22003	12	28	design	design	VERB
fcis-22003	12	29	a	a	DET
fcis-22003	12	30	reasonable	reasonable	ADJ
fcis-22003	12	31	survey	survey	NOUN
fcis-22003	12	32	line	line	NOUN
fcis-22003	12	33	direction	direction	NOUN
fcis-22003	12	34	in	in	ADP
fcis-22003	12	35	the	the	DET
fcis-22003	12	36	face	face	NOUN
fcis-22003	12	37	of	of	ADP
fcis-22003	12	38	the	the	DET
fcis-22003	12	39	rolling	rolling	ADJ
fcis-22003	12	40	seabed	seabed	NOUN
fcis-22003	12	41	topography	topography	NOUN
fcis-22003	12	42	,	,	PUNCT
fcis-22003	12	43	which	which	PRON
fcis-22003	12	44	is	be	AUX
fcis-22003	12	45	of	of	ADP
fcis-22003	12	46	great	great	ADJ
fcis-22003	12	47	significance	significance	NOUN
fcis-22003	12	48	for	for	ADP
fcis-22003	12	49	reducing	reduce	VERB
fcis-22003	12	50	the	the	DET
fcis-22003	12	51	phenomenon	phenomenon	NOUN
fcis-22003	12	52	of	of	ADP
fcis-22003	12	53	leakage	leakage	NOUN
fcis-22003	12	54	and	and	CCONJ
fcis-22003	12	55	data	data	NOUN
fcis-22003	12	56	redundancy	redundancy	NOUN
fcis-22003	12	57	in	in	ADP
fcis-22003	12	58	the	the	DET
fcis-22003	12	59	sea	sea	NOUN
fcis-22003	12	60	area	area	NOUN
fcis-22003	12	61	and	and	CCONJ
fcis-22003	12	62	improving	improve	VERB
fcis-22003	12	63	the	the	DET
fcis-22003	12	64	efficiency	efficiency	NOUN
fcis-22003	12	65	and	and	CCONJ
fcis-22003	12	66	accuracy	accuracy	NOUN
fcis-22003	12	67	of	of	ADP
fcis-22003	12	68	multi	multi	ADJ
fcis-22003	12	69	-	-	ADJ
fcis-22003	12	70	beam	beam	ADJ
fcis-22003	12	71	sounding	sound	VERB
fcis-22003	12	72	technology	technology	NOUN
fcis-22003	12	73	.	.	PUNCT
fcis-22003	13	1	2	2	X
fcis-22003	13	2	.	.	X
fcis-22003	13	3	mathematical	mathematical	ADJ
fcis-22003	13	4	model	model	NOUN
fcis-22003	13	5	of	of	ADP
fcis-22003	13	6	multi	multi	ADJ
fcis-22003	13	7	-	-	ADJ
fcis-22003	13	8	beam	beam	ADJ
fcis-22003	13	9	survey	survey	NOUN
fcis-22003	13	10	line	line	NOUN
fcis-22003	13	11	assuming	assume	VERB
fcis-22003	13	12	that	that	SCONJ
fcis-22003	13	13	the	the	DET
fcis-22003	13	14	slope	slope	NOUN
fcis-22003	13	15	𝛼	𝛼	PROPN
fcis-22003	13	16	,	,	PUNCT
fcis-22003	13	17	the	the	DET
fcis-22003	13	18	opening	opening	NOUN
fcis-22003	13	19	angle	angle	NOUN
fcis-22003	13	20	of	of	ADP
fcis-22003	13	21	the	the	DET
fcis-22003	13	22	multibeam	multibeam	NOUN
fcis-22003	13	23	transducer	transducer	NOUN
fcis-22003	13	24	𝛽	𝛽	PROPN
fcis-22003	13	25	and	and	CCONJ
fcis-22003	13	26	the	the	DET
fcis-22003	13	27	water	water	NOUN
fcis-22003	13	28	depth	depth	NOUN
fcis-22003	13	29	𝐷	𝐷	NOUN
fcis-22003	13	30	of	of	ADP
fcis-22003	13	31	the	the	DET
fcis-22003	13	32	center	center	ADJ
fcis-22003	13	33	point	point	NOUN
fcis-22003	13	34	of	of	ADP
fcis-22003	13	35	the	the	DET
fcis-22003	13	36	sea	sea	NOUN
fcis-22003	13	37	area	area	NOUN
fcis-22003	13	38	are	be	AUX
fcis-22003	13	39	known	know	VERB
fcis-22003	13	40	,	,	PUNCT
fcis-22003	13	41	this	this	DET
fcis-22003	13	42	chapter	chapter	NOUN
fcis-22003	13	43	establishes	establish	VERB
fcis-22003	13	44	a	a	DET
fcis-22003	13	45	mathematical	mathematical	ADJ
fcis-22003	13	46	model	model	NOUN
fcis-22003	13	47	of	of	ADP
fcis-22003	13	48	the	the	DET
fcis-22003	13	49	coverage	coverage	NOUN
fcis-22003	13	50	width	width	NOUN
fcis-22003	13	51	of	of	ADP
fcis-22003	13	52	the	the	DET
fcis-22003	13	53	multi	multi	ADJ
fcis-22003	13	54	-	-	ADJ
fcis-22003	13	55	beam	beam	ADJ
fcis-22003	13	56	sounding	sounding	NOUN
fcis-22003	13	57	and	and	CCONJ
fcis-22003	13	58	the	the	DET
fcis-22003	13	59	overlap	overlap	NOUN
fcis-22003	13	60	rate	rate	NOUN
fcis-22003	13	61	of	of	ADP
fcis-22003	13	62	adjacent	adjacent	ADJ
fcis-22003	13	63	strips	strip	NOUN
fcis-22003	13	64	under	under	ADP
fcis-22003	13	65	these	these	DET
fcis-22003	13	66	conditions	condition	NOUN
fcis-22003	13	67	,	,	PUNCT
fcis-22003	13	68	and	and	CCONJ
fcis-22003	13	69	uses	use	VERB
fcis-22003	13	70	the	the	DET
fcis-22003	13	71	model	model	NOUN
fcis-22003	13	72	to	to	PART
fcis-22003	13	73	solve	solve	VERB
fcis-22003	13	74	the	the	DET
fcis-22003	13	75	seawater	seawater	NOUN
fcis-22003	13	76	depth	depth	NOUN
fcis-22003	13	77	,	,	PUNCT
fcis-22003	13	78	coverage	coverage	NOUN
fcis-22003	13	79	width	width	NOUN
fcis-22003	13	80	and	and	CCONJ
fcis-22003	13	81	overlap	overlap	NOUN
fcis-22003	13	82	rate	rate	NOUN
fcis-22003	13	83	of	of	ADP
fcis-22003	13	84	the	the	DET
fcis-22003	13	85	lines	line	NOUN
fcis-22003	13	86	with	with	ADP
fcis-22003	13	87	different	different	ADJ
fcis-22003	13	88	distances	distance	NOUN
fcis-22003	13	89	from	from	ADP
fcis-22003	13	90	the	the	DET
fcis-22003	13	91	center	center	NOUN
fcis-22003	13	92	of	of	ADP
fcis-22003	13	93	the	the	DET
fcis-22003	13	94	sea	sea	NOUN
fcis-22003	13	95	area	area	NOUN
fcis-22003	13	96	.	.	PUNCT
fcis-22003	14	1	2.1	2.1	NUM
fcis-22003	14	2	.	.	PUNCT
fcis-22003	15	1	the	the	DET
fcis-22003	15	2	mathematical	mathematical	ADJ
fcis-22003	15	3	model	model	NOUN
fcis-22003	15	4	of	of	ADP
fcis-22003	15	5	multi	multi	ADJ
fcis-22003	15	6	-	-	ADJ
fcis-22003	15	7	beam	beam	ADJ
fcis-22003	15	8	line	line	NOUN
fcis-22003	15	9	measurement	measurement	NOUN
fcis-22003	15	10	with	with	ADP
fcis-22003	15	11	constant	constant	ADJ
fcis-22003	15	12	line	line	NOUN
fcis-22003	15	13	direction	direction	NOUN
fcis-22003	15	14	2.1.1	2.1.1	NUM
fcis-22003	15	15	.	.	PUNCT
fcis-22003	15	16	coverage	coverage	NOUN
fcis-22003	15	17	width	width	ADJ
fcis-22003	15	18	calculation	calculation	NOUN
fcis-22003	15	19	formula	formula	NOUN
fcis-22003	15	20	set	set	VERB
fcis-22003	15	21	the	the	DET
fcis-22003	15	22	edge	edge	NOUN
fcis-22003	15	23	and	and	CCONJ
fcis-22003	15	24	angle	angle	NOUN
fcis-22003	15	25	and	and	CCONJ
fcis-22003	15	26	construct	construct	VERB
fcis-22003	15	27	the	the	DET
fcis-22003	15	28	static	static	ADJ
fcis-22003	15	29	plane	plane	NOUN
fcis-22003	15	30	geometry	geometry	NOUN
fcis-22003	15	31	diagram	diagram	NOUN
fcis-22003	15	32	when	when	SCONJ
fcis-22003	15	33	the	the	DET
fcis-22003	15	34	surveying	surveying	NOUN
fcis-22003	15	35	ship	ship	NOUN
fcis-22003	15	36	is	be	AUX
fcis-22003	15	37	in	in	ADP
fcis-22003	15	38	a	a	DET
fcis-22003	15	39	certain	certain	ADJ
fcis-22003	15	40	position	position	NOUN
fcis-22003	15	41	,	,	PUNCT
fcis-22003	15	42	as	as	SCONJ
fcis-22003	15	43	shown	show	VERB
fcis-22003	15	44	in	in	ADP
fcis-22003	15	45	figure	figure	NOUN
fcis-22003	15	46	1	1	NUM
fcis-22003	15	47	.	.	PUNCT
fcis-22003	15	48	as	as	SCONJ
fcis-22003	15	49	shown	show	VERB
fcis-22003	15	50	in	in	ADP
fcis-22003	15	51	figure	figure	NOUN
fcis-22003	15	52	1	1	NUM
fcis-22003	15	53	,	,	PUNCT
fcis-22003	15	54	according	accord	VERB
fcis-22003	15	55	to	to	ADP
fcis-22003	15	56	the	the	DET
fcis-22003	15	57	geometric	geometric	ADJ
fcis-22003	15	58	relationship	relationship	NOUN
fcis-22003	15	59	,	,	PUNCT
fcis-22003	15	60	the	the	DET
fcis-22003	15	61	angles	angle	NOUN
fcis-22003	15	62	established	establish	VERB
fcis-22003	15	63	meet	meet	VERB
fcis-22003	15	64	the	the	DET
fcis-22003	15	65	following	follow	VERB
fcis-22003	15	66	requirements	requirement	NOUN
fcis-22003	15	67	:	:	PUNCT
fcis-22003	15	68	{	{	PUNCT
fcis-22003	15	69	𝜃1	𝜃1	NOUN
fcis-22003	15	70	=	=	SYM
fcis-22003	15	71	𝜋	𝜋	NOUN
fcis-22003	15	72	2	2	NUM
fcis-22003	15	73	+	+	NUM
fcis-22003	15	74	𝛼	𝛼	NOUN
fcis-22003	15	75	𝜃2	𝜃2	NOUN
fcis-22003	15	76	=	=	PUNCT
fcis-22003	15	77	𝜋	𝜋	ADP
fcis-22003	15	78	2	2	NUM
fcis-22003	15	79	−	−	NOUN
fcis-22003	15	80	𝛼	𝛼	NOUN
fcis-22003	15	81	𝜃3	𝜃3	NOUN
fcis-22003	15	82	=	=	SYM
fcis-22003	15	83	𝜋	𝜋	ADP
fcis-22003	15	84	2	2	NUM
fcis-22003	15	85	−	−	NOUN
fcis-22003	15	86	𝜃	𝜃	NUM
fcis-22003	15	87	2	2	NUM
fcis-22003	15	88	−	−	NOUN
fcis-22003	15	89	𝛼	𝛼	NOUN
fcis-22003	15	90	𝜃4	𝜃4	NOUN
fcis-22003	16	1	=	=	PUNCT
fcis-22003	16	2	𝜋	𝜋	NOUN
fcis-22003	16	3	2	2	NUM
fcis-22003	16	4	−	−	NOUN
fcis-22003	16	5	𝜃	𝜃	NOUN
fcis-22003	16	6	2	2	NUM
fcis-22003	16	7	+	+	NUM
fcis-22003	16	8	𝛼	𝛼	PROPN
fcis-22003	16	9	(	(	PUNCT
fcis-22003	16	10	1	1	NUM
fcis-22003	16	11	)	)	PUNCT
fcis-22003	16	12	therefore	therefore	ADV
fcis-22003	16	13	,	,	PUNCT
fcis-22003	16	14	according	accord	VERB
fcis-22003	16	15	to	to	ADP
fcis-22003	16	16	the	the	DET
fcis-22003	16	17	law	law	NOUN
fcis-22003	16	18	of	of	ADP
fcis-22003	16	19	sine	sine	NOUN
fcis-22003	16	20	and	and	CCONJ
fcis-22003	16	21	the	the	DET
fcis-22003	16	22	law	law	NOUN
fcis-22003	16	23	of	of	ADP
fcis-22003	16	24	cosine	cosine	NOUN
fcis-22003	16	25	,	,	PUNCT
fcis-22003	16	26	the	the	DET
fcis-22003	16	27	covering	covering	NOUN
fcis-22003	16	28	width	width	NOUN
fcis-22003	16	29	𝑊	𝑊	PROPN
fcis-22003	16	30	can	can	AUX
fcis-22003	16	31	be	be	AUX
fcis-22003	16	32	expressed	express	VERB
fcis-22003	16	33	as	as	ADP
fcis-22003	16	34	:	:	PUNCT
fcis-22003	16	35	𝑊	𝑊	NOUN
fcis-22003	16	36	=	=	PUNCT
fcis-22003	16	37	𝐷𝑐𝑜𝑠2𝛼√	𝐷𝑐𝑜𝑠2𝛼√	NOUN
fcis-22003	16	38	1	1	NUM
fcis-22003	16	39	𝑐𝑜𝑠2	𝑐𝑜𝑠2	PROPN
fcis-22003	16	40	(	(	PUNCT
fcis-22003	16	41	𝜃	𝜃	NOUN
fcis-22003	16	42	2	2	NUM
fcis-22003	16	43	−𝛼	−𝛼	ADJ
fcis-22003	16	44	)	)	PUNCT
fcis-22003	17	1	+	+	CCONJ
fcis-22003	17	2	1	1	NUM
fcis-22003	17	3	𝑐𝑜𝑠2	𝑐𝑜𝑠2	NOUN
fcis-22003	17	4	(	(	PUNCT
fcis-22003	17	5	𝜃	𝜃	NOUN
fcis-22003	17	6	2	2	NUM
fcis-22003	17	7	+	+	NOUN
fcis-22003	17	8	𝛼	𝛼	NOUN
fcis-22003	17	9	)	)	PUNCT
fcis-22003	17	10	−	−	PROPN
fcis-22003	18	1	2𝑐𝑜𝑠𝜃	2𝑐𝑜𝑠𝜃	NUM
fcis-22003	18	2	𝑐𝑜𝑠	𝑐𝑜𝑠	NOUN
fcis-22003	18	3	(	(	PUNCT
fcis-22003	18	4	𝜃	𝜃	NOUN
fcis-22003	18	5	2	2	NUM
fcis-22003	18	6	−𝛼)𝑐𝑜𝑠	−𝛼)𝑐𝑜𝑠	X
fcis-22003	18	7	(	(	PUNCT
fcis-22003	18	8	𝜃	𝜃	NOUN
fcis-22003	18	9	2	2	NUM
fcis-22003	18	10	+	+	NOUN
fcis-22003	18	11	𝛼	𝛼	X
fcis-22003	18	12	)	)	PUNCT
fcis-22003	18	13	(	(	PUNCT
fcis-22003	18	14	2	2	NUM
fcis-22003	18	15	)	)	PUNCT
fcis-22003	18	16	2.1.2	2.1.2	NUM
fcis-22003	18	17	.	.	PUNCT
fcis-22003	18	18	formula	formula	NOUN
fcis-22003	18	19	for	for	ADP
fcis-22003	18	20	calculating	calculate	VERB
fcis-22003	18	21	overlap	overlap	NOUN
fcis-22003	18	22	rate	rate	NOUN
fcis-22003	18	23	assuming	assume	VERB
fcis-22003	18	24	that	that	SCONJ
fcis-22003	18	25	the	the	DET
fcis-22003	18	26	opening	opening	NOUN
fcis-22003	18	27	angle	angle	NOUN
fcis-22003	18	28	of	of	ADP
fcis-22003	18	29	the	the	DET
fcis-22003	18	30	transducer	transducer	NOUN
fcis-22003	18	31	is	be	AUX
fcis-22003	18	32	unchanged	unchanged	ADJ
fcis-22003	18	33	,	,	PUNCT
fcis-22003	18	34	the	the	DET
fcis-22003	18	35	schematic	schematic	ADJ
fcis-22003	18	36	diagram	diagram	NOUN
fcis-22003	18	37	of	of	ADP
fcis-22003	18	38	two	two	NUM
fcis-22003	18	39	adjacent	adjacent	ADJ
fcis-22003	18	40	multibeam	multibeam	NOUN
fcis-22003	18	41	survey	survey	NOUN
fcis-22003	18	42	lines	line	NOUN
fcis-22003	18	43	on	on	ADP
fcis-22003	18	44	two	two	NUM
fcis-22003	18	45	different	different	ADJ
fcis-22003	18	46	positions	position	NOUN
fcis-22003	18	47	𝐴	𝐴	PROPN
fcis-22003	18	48	and	and	CCONJ
fcis-22003	18	49	𝐵	𝐵	NOUN
fcis-22003	18	50	from	from	ADP
fcis-22003	18	51	the	the	DET
fcis-22003	18	52	center	center	NOUN
fcis-22003	18	53	of	of	ADP
fcis-22003	18	54	the	the	DET
fcis-22003	18	55	sea	sea	NOUN
fcis-22003	18	56	area	area	NOUN
fcis-22003	18	57	is	be	AUX
fcis-22003	18	58	constructed	construct	VERB
fcis-22003	18	59	by	by	ADP
fcis-22003	18	60	the	the	DET
fcis-22003	18	61	survey	survey	NOUN
fcis-22003	18	62	ship	ship	NOUN
fcis-22003	18	63	as	as	SCONJ
fcis-22003	18	64	shown	show	VERB
fcis-22003	18	65	in	in	ADP
fcis-22003	18	66	figure	figure	NOUN
fcis-22003	18	67	2	2	NUM
fcis-22003	18	68	.	.	PUNCT
fcis-22003	19	1	according	accord	VERB
fcis-22003	19	2	to	to	ADP
fcis-22003	19	3	the	the	DET
fcis-22003	19	4	sine	sine	NOUN
fcis-22003	19	5	theorem	theorem	NOUN
fcis-22003	19	6	:	:	PUNCT
fcis-22003	19	7	𝐿1	𝐿1	PROPN
fcis-22003	19	8	𝑠𝑖𝑛	𝑠𝑖𝑛	PROPN
fcis-22003	19	9	(	(	PUNCT
fcis-22003	19	10	𝜋	𝜋	NOUN
fcis-22003	19	11	2	2	NUM
fcis-22003	19	12	+	+	NUM
fcis-22003	19	13	𝜃	𝜃	NUM
fcis-22003	19	14	2	2	X
fcis-22003	19	15	)	)	PUNCT
fcis-22003	19	16	=	=	SYM
fcis-22003	19	17	𝑙1	𝑙1	PROPN
fcis-22003	19	18	𝑠𝑖𝑛𝛼	𝑠𝑖𝑛𝛼	NOUN
fcis-22003	19	19	(	(	PUNCT
fcis-22003	19	20	3	3	X
fcis-22003	19	21	)	)	PUNCT
fcis-22003	19	22	𝐿2	𝐿2	NOUN
fcis-22003	19	23	𝑠𝑖𝑛	𝑠𝑖𝑛	NOUN
fcis-22003	19	24	(	(	PUNCT
fcis-22003	19	25	𝜋	𝜋	NOUN
fcis-22003	19	26	2	2	NUM
fcis-22003	19	27	−𝛼	−𝛼	ADJ
fcis-22003	19	28	)	)	PUNCT
fcis-22003	19	29	=	=	SYM
fcis-22003	19	30	𝐷	𝐷	PROPN
fcis-22003	19	31	𝑠𝑖𝑛𝛼	𝑠𝑖𝑛𝛼	NOUN
fcis-22003	19	32	(	(	PUNCT
fcis-22003	19	33	4	4	NUM
fcis-22003	19	34	)	)	PUNCT
fcis-22003	19	35	according	accord	VERB
fcis-22003	19	36	to	to	ADP
fcis-22003	19	37	the	the	DET
fcis-22003	19	38	proportional	proportional	ADJ
fcis-22003	19	39	relationship	relationship	NOUN
fcis-22003	19	40	between	between	ADP
fcis-22003	19	41	parallel	parallel	ADJ
fcis-22003	19	42	lines	line	NOUN
fcis-22003	19	43	,	,	PUNCT
fcis-22003	19	44	the	the	DET
fcis-22003	19	45	sea	sea	NOUN
fcis-22003	19	46	surface	surface	NOUN
fcis-22003	19	47	height	height	NOUN
fcis-22003	19	48	𝐷′	𝐷′	NOUN
fcis-22003	19	49	at	at	ADP
fcis-22003	19	50	the	the	DET
fcis-22003	19	51	second	second	ADJ
fcis-22003	19	52	line	line	NOUN
fcis-22003	19	53	can	can	AUX
fcis-22003	19	54	be	be	AUX
fcis-22003	19	55	measured	measure	VERB
fcis-22003	19	56	.	.	PUNCT
fcis-22003	20	1	𝐷′	𝐷′	NOUN
fcis-22003	20	2	𝐷	𝐷	PROPN
fcis-22003	20	3	=	=	SYM
fcis-22003	20	4	𝐿2−𝑑	𝐿2−𝑑	PUNCT
fcis-22003	20	5	𝐿2	𝐿2	NOUN
fcis-22003	20	6	(	(	PUNCT
fcis-22003	20	7	5	5	NUM
fcis-22003	20	8	)	)	PUNCT
fcis-22003	20	9	then	then	ADV
fcis-22003	20	10	the	the	DET
fcis-22003	20	11	overlapping	overlap	VERB
fcis-22003	20	12	area	area	NOUN
fcis-22003	20	13	𝑋	𝑋	NOUN
fcis-22003	20	14	is	be	AUX
fcis-22003	20	15	:	:	PUNCT
fcis-22003	20	16	𝑋	𝑋	NOUN
fcis-22003	20	17	=	=	SYM
fcis-22003	20	18	𝑊	𝑊	PROPN
fcis-22003	20	19	−	−	PROPN
fcis-22003	20	20	𝑥3	𝑥3	NOUN
fcis-22003	20	21	(	(	PUNCT
fcis-22003	20	22	6	6	NUM
fcis-22003	20	23	)	)	SYM
fcis-22003	20	24	30	30	NUM
fcis-22003	20	25	figure	figure	NOUN
fcis-22003	20	26	1	1	NUM
fcis-22003	20	27	.	.	PUNCT
fcis-22003	20	28	static	static	ADJ
fcis-22003	20	29	plane	plane	NOUN
fcis-22003	20	30	geometry	geometry	NOUN
fcis-22003	20	31	diagram	diagram	NOUN
fcis-22003	20	32	figure	figure	NOUN
fcis-22003	20	33	2	2	NUM
fcis-22003	20	34	.	.	X
fcis-22003	20	35	diagram	diagram	NOUN
fcis-22003	20	36	of	of	ADP
fcis-22003	20	37	adjacent	adjacent	ADJ
fcis-22003	20	38	multi	multi	ADJ
fcis-22003	20	39	-	-	ADJ
fcis-22003	20	40	beam	beam	ADJ
fcis-22003	20	41	line	line	NOUN
fcis-22003	20	42	measurement	measurement	NOUN
fcis-22003	20	43	get	get	VERB
fcis-22003	20	44	the	the	DET
fcis-22003	20	45	overlap	overlap	NOUN
fcis-22003	20	46	rate	rate	NOUN
fcis-22003	20	47	𝜂	𝜂	NOUN
fcis-22003	20	48	between	between	ADP
fcis-22003	20	49	the	the	DET
fcis-22003	20	50	second	second	ADJ
fcis-22003	20	51	measurement	measurement	NOUN
fcis-22003	20	52	and	and	CCONJ
fcis-22003	20	53	the	the	DET
fcis-22003	20	54	first	first	ADJ
fcis-22003	20	55	measurement	measurement	NOUN
fcis-22003	20	56	as	as	ADP
fcis-22003	20	57	:	:	PUNCT
fcis-22003	20	58	𝜂	𝜂	NOUN
fcis-22003	20	59	=	=	SYM
fcis-22003	20	60	𝑋	𝑋	PROPN
fcis-22003	20	61	𝑊	𝑊	PROPN
fcis-22003	20	62	(	(	PUNCT
fcis-22003	20	63	7	7	NUM
fcis-22003	20	64	)	)	PUNCT
fcis-22003	20	65	in	in	ADP
fcis-22003	20	66	summary	summary	NOUN
fcis-22003	20	67	,	,	PUNCT
fcis-22003	20	68	the	the	DET
fcis-22003	20	69	expression	expression	NOUN
fcis-22003	20	70	obtained	obtain	VERB
fcis-22003	20	71	is	be	AUX
fcis-22003	20	72	as	as	SCONJ
fcis-22003	20	73	follows	follow	VERB
fcis-22003	20	74	:	:	PUNCT
fcis-22003	20	75	𝜂	𝜂	NOUN
fcis-22003	20	76	=	=	SYM
fcis-22003	20	77	𝐷	𝐷	PROPN
fcis-22003	20	78	𝐷−𝑑𝑡𝑎𝑛𝛼	𝐷−𝑑𝑡𝑎𝑛𝛼	PUNCT
fcis-22003	20	79	−	−	PROPN
fcis-22003	20	80	𝑑	𝑑	PROPN
fcis-22003	20	81	𝜃	𝜃	PROPN
fcis-22003	20	82	2	2	NUM
fcis-22003	20	83	𝑑𝑐𝑜𝑠	𝑑𝑐𝑜𝑠	X
fcis-22003	20	84	(	(	PUNCT
fcis-22003	20	85	𝜃	𝜃	NOUN
fcis-22003	20	86	2	2	NUM
fcis-22003	20	87	+	+	NOUN
fcis-22003	20	88	𝛼)𝑡𝑎𝑛𝛼√	𝛼)𝑡𝑎𝑛𝛼√	PROPN
fcis-22003	20	89	1	1	NUM
fcis-22003	20	90	𝑐𝑜𝑠2	𝑐𝑜𝑠2	PROPN
fcis-22003	20	91	(	(	PUNCT
fcis-22003	20	92	𝜃	𝜃	NOUN
fcis-22003	20	93	2−𝛼	2−𝛼	NUM
fcis-22003	20	94	)	)	PUNCT
fcis-22003	21	1	+	+	CCONJ
fcis-22003	21	2	1	1	NUM
fcis-22003	21	3	𝑐𝑜𝑠2	𝑐𝑜𝑠2	NOUN
fcis-22003	21	4	(	(	PUNCT
fcis-22003	21	5	𝜃	𝜃	NOUN
fcis-22003	21	6	2+𝛼	2+𝛼	NUM
fcis-22003	21	7	)	)	PUNCT
fcis-22003	21	8	−	−	PROPN
fcis-22003	22	1	2𝑐𝑜𝑠𝜃	2𝑐𝑜𝑠𝜃	NUM
fcis-22003	22	2	𝑐𝑜𝑠	𝑐𝑜𝑠	NOUN
fcis-22003	22	3	(	(	PUNCT
fcis-22003	22	4	𝜃	𝜃	NOUN
fcis-22003	22	5	2−𝛼	2−𝛼	NUM
fcis-22003	22	6	)	)	PUNCT
fcis-22003	22	7	𝑐𝑜𝑠	𝑐𝑜𝑠	NOUN
fcis-22003	22	8	(	(	PUNCT
fcis-22003	22	9	𝜃	𝜃	NOUN
fcis-22003	22	10	2+𝛼	2+𝛼	NUM
fcis-22003	22	11	)	)	PUNCT
fcis-22003	22	12	(	(	PUNCT
fcis-22003	22	13	8)	8)	NUM
fcis-22003	22	14	therefore	therefore	ADV
fcis-22003	22	15	,	,	PUNCT
fcis-22003	22	16	𝜂	𝜂	NOUN
fcis-22003	22	17	is	be	AUX
fcis-22003	22	18	a	a	DET
fcis-22003	22	19	function	function	NOUN
fcis-22003	22	20	related	relate	VERB
fcis-22003	22	21	to	to	ADP
fcis-22003	22	22	the	the	DET
fcis-22003	22	23	depth	depth	NOUN
fcis-22003	22	24	and	and	CCONJ
fcis-22003	22	25	the	the	DET
fcis-22003	22	26	distance	distance	NOUN
fcis-22003	22	27	between	between	ADP
fcis-22003	22	28	the	the	DET
fcis-22003	22	29	two	two	NUM
fcis-22003	22	30	measurement	measurement	NOUN
fcis-22003	22	31	lines	line	NOUN
fcis-22003	22	32	.	.	PUNCT
fcis-22003	23	1	2.2	2.2	NUM
fcis-22003	23	2	.	.	PUNCT
fcis-22003	24	1	multi	multi	ADJ
fcis-22003	24	2	-	-	ADJ
fcis-22003	24	3	beam	beam	ADJ
fcis-22003	24	4	line	line	NOUN
fcis-22003	24	5	measurement	measurement	PROPN
fcis-22003	24	6	mathematical	mathematical	ADJ
fcis-22003	24	7	model	model	NOUN
fcis-22003	24	8	with	with	ADP
fcis-22003	24	9	variable	variable	ADJ
fcis-22003	24	10	direction	direction	NOUN
fcis-22003	24	11	of	of	ADP
fcis-22003	24	12	line	line	NOUN
fcis-22003	24	13	measurement	measurement	NOUN
fcis-22003	24	14	2.2.1	2.2.1	NUM
fcis-22003	24	15	.	.	PUNCT
fcis-22003	24	16	coverage	coverage	NOUN
fcis-22003	24	17	width	width	NOUN
fcis-22003	24	18	solution	solution	NOUN
fcis-22003	24	19	as	as	SCONJ
fcis-22003	24	20	shown	show	VERB
fcis-22003	24	21	in	in	ADP
fcis-22003	24	22	figure	figure	NOUN
fcis-22003	24	23	3	3	NUM
fcis-22003	24	24	,	,	PUNCT
fcis-22003	24	25	when	when	SCONJ
fcis-22003	24	26	the	the	DET
fcis-22003	24	27	angle	angle	NOUN
fcis-22003	24	28	between	between	ADP
fcis-22003	24	29	the	the	DET
fcis-22003	24	30	survey	survey	NOUN
fcis-22003	24	31	line	line	NOUN
fcis-22003	24	32	direction	direction	NOUN
fcis-22003	24	33	and	and	CCONJ
fcis-22003	24	34	the	the	DET
fcis-22003	24	35	direction	direction	NOUN
fcis-22003	24	36	of	of	ADP
fcis-22003	24	37	ship	ship	NOUN
fcis-22003	24	38	navigation	navigation	NOUN
fcis-22003	24	39	is	be	AUX
fcis-22003	24	40	𝛽	𝛽	NOUN
fcis-22003	24	41	,	,	PUNCT
fcis-22003	24	42	the	the	DET
fcis-22003	24	43	inclination	inclination	NOUN
fcis-22003	24	44	angle	angle	NOUN
fcis-22003	24	45	𝜃1	𝜃1	NOUN
fcis-22003	24	46	′	′	NUM
fcis-22003	24	47	in	in	ADP
fcis-22003	24	48	the	the	DET
fcis-22003	24	49	cross	cross	ADJ
fcis-22003	24	50	-	-	ADJ
fcis-22003	24	51	sectional	sectional	ADJ
fcis-22003	24	52	view	view	NOUN
fcis-22003	24	53	perpendicular	perpendicular	NOUN
fcis-22003	24	54	to	to	ADP
fcis-22003	24	55	the	the	DET
fcis-22003	24	56	survey	survey	NOUN
fcis-22003	24	57	line	line	NOUN
fcis-22003	24	58	direction	direction	NOUN
fcis-22003	24	59	(	(	PUNCT
fcis-22003	24	60	as	as	SCONJ
fcis-22003	24	61	shown	show	VERB
fcis-22003	24	62	in	in	ADP
fcis-22003	24	63	figure	figure	NOUN
fcis-22003	24	64	3	3	NUM
fcis-22003	24	65	)	)	PUNCT
fcis-22003	24	66	differs	differ	VERB
fcis-22003	24	67	from	from	ADP
fcis-22003	24	68	𝜃1	𝜃1	NOUN
fcis-22003	24	69	(	(	PUNCT
fcis-22003	24	70	as	as	SCONJ
fcis-22003	24	71	shown	show	VERB
fcis-22003	24	72	in	in	ADP
fcis-22003	24	73	figure	figure	NOUN
fcis-22003	24	74	1	1	NUM
fcis-22003	24	75	)	)	PUNCT
fcis-22003	24	76	because	because	SCONJ
fcis-22003	24	77	the	the	DET
fcis-22003	24	78	slope	slope	NOUN
fcis-22003	24	79	also	also	ADV
fcis-22003	24	80	changes	change	VERB
fcis-22003	24	81	when	when	SCONJ
fcis-22003	24	82	viewed	view	VERB
fcis-22003	24	83	from	from	ADP
fcis-22003	24	84	this	this	DET
fcis-22003	24	85	section	section	NOUN
fcis-22003	24	86	.	.	PUNCT
fcis-22003	25	1	the	the	DET
fcis-22003	25	2	new	new	ADJ
fcis-22003	25	3	slope	slope	NOUN
fcis-22003	25	4	𝛼′	𝛼′	PROPN
fcis-22003	25	5	can	can	AUX
fcis-22003	25	6	be	be	AUX
fcis-22003	25	7	calculated	calculate	VERB
fcis-22003	25	8	from	from	ADP
fcis-22003	25	9	the	the	DET
fcis-22003	25	10	geometric	geometric	ADJ
fcis-22003	25	11	relationships	relationship	NOUN
fcis-22003	25	12	shown	show	VERB
fcis-22003	25	13	in	in	ADP
fcis-22003	25	14	the	the	DET
fcis-22003	25	15	figure	figure	NOUN
fcis-22003	25	16	,	,	PUNCT
fcis-22003	25	17	satisfying	satisfy	VERB
fcis-22003	25	18	the	the	DET
fcis-22003	25	19	following	follow	VERB
fcis-22003	25	20	equation	equation	NOUN
fcis-22003	25	21	:	:	PUNCT
fcis-22003	25	22	𝑡𝑎𝑛𝛼′	𝑡𝑎𝑛𝛼′	X
fcis-22003	25	23	=	=	SYM
fcis-22003	25	24	𝑡𝑎𝑛𝛼𝑠𝑖𝑛𝛽	𝑡𝑎𝑛𝛼𝑠𝑖𝑛𝛽	VERB
fcis-22003	25	25	(	(	PUNCT
fcis-22003	25	26	9	9	NUM
fcis-22003	25	27	)	)	PUNCT
fcis-22003	25	28	by	by	ADP
fcis-22003	25	29	replacing	replace	VERB
fcis-22003	25	30	the	the	DET
fcis-22003	25	31	original	original	ADJ
fcis-22003	25	32	slope	slope	NOUN
fcis-22003	25	33	𝛼	𝛼	NOUN
fcis-22003	25	34	with	with	ADP
fcis-22003	25	35	the	the	DET
fcis-22003	25	36	new	new	ADJ
fcis-22003	25	37	slope	slope	NOUN
fcis-22003	25	38	𝛼′	𝛼′	PROPN
fcis-22003	25	39	,	,	PUNCT
fcis-22003	25	40	the	the	DET
fcis-22003	25	41	coverage	coverage	NOUN
fcis-22003	25	42	width	width	NOUN
fcis-22003	25	43	of	of	ADP
fcis-22003	25	44	multi	multi	ADJ
fcis-22003	25	45	-	-	ADJ
fcis-22003	25	46	beam	beam	ADJ
fcis-22003	25	47	sounding	sounding	NOUN
fcis-22003	25	48	can	can	AUX
fcis-22003	25	49	be	be	AUX
fcis-22003	25	50	obtained	obtain	VERB
fcis-22003	25	51	:	:	PUNCT
fcis-22003	25	52	𝑊′	𝑊′	PROPN
fcis-22003	25	53	=	=	PUNCT
fcis-22003	25	54	𝐷𝑐𝑜𝑠2	𝐷𝑐𝑜𝑠2	PROPN
fcis-22003	25	55	𝛼′√	𝛼′√	NOUN
fcis-22003	26	1	1	1	NUM
fcis-22003	26	2	𝑐𝑜𝑠2	𝑐𝑜𝑠2	PROPN
fcis-22003	26	3	(	(	PUNCT
fcis-22003	26	4	𝜃	𝜃	NOUN
fcis-22003	26	5	2	2	NUM
fcis-22003	26	6	−	−	PROPN
fcis-22003	26	7	𝛼′	𝛼′	NUM
fcis-22003	26	8	)	)	PUNCT
fcis-22003	27	1	+	+	CCONJ
fcis-22003	27	2	1	1	NUM
fcis-22003	27	3	𝑐𝑜𝑠2	𝑐𝑜𝑠2	NOUN
fcis-22003	27	4	(	(	PUNCT
fcis-22003	27	5	𝜃	𝜃	NOUN
fcis-22003	27	6	2	2	NUM
fcis-22003	27	7	+	+	SYM
fcis-22003	27	8	𝛼′	𝛼′	NUM
fcis-22003	27	9	)	)	PUNCT
fcis-22003	27	10	−	−	PROPN
fcis-22003	28	1	2𝑐𝑜𝑠𝜃	2𝑐𝑜𝑠𝜃	NUM
fcis-22003	28	2	𝑐𝑜𝑠	𝑐𝑜𝑠	NOUN
fcis-22003	28	3	(	(	PUNCT
fcis-22003	28	4	𝜃	𝜃	NOUN
fcis-22003	28	5	2	2	NUM
fcis-22003	28	6	−	−	PROPN
fcis-22003	28	7	𝛼′)cos	𝛼′)cos	PROPN
fcis-22003	28	8	(	(	PUNCT
fcis-22003	28	9	𝜃	𝜃	NOUN
fcis-22003	28	10	2	2	NUM
fcis-22003	28	11	+	+	SYM
fcis-22003	28	12	𝛼′	𝛼′	NUM
fcis-22003	28	13	)	)	PUNCT
fcis-22003	28	14	(	(	PUNCT
fcis-22003	28	15	10	10	NUM
fcis-22003	28	16	)	)	PUNCT
fcis-22003	28	17	2.2.2	2.2.2	NUM
fcis-22003	28	18	.	.	PUNCT
fcis-22003	28	19	seawater	seawater	NOUN
fcis-22003	28	20	depth	depth	NOUN
fcis-22003	28	21	solution	solution	NOUN
fcis-22003	28	22	according	accord	VERB
fcis-22003	28	23	to	to	ADP
fcis-22003	28	24	the	the	DET
fcis-22003	28	25	proportionality	proportionality	NOUN
fcis-22003	28	26	relationship	relationship	NOUN
fcis-22003	28	27	between	between	ADP
fcis-22003	28	28	parallel	parallel	ADJ
fcis-22003	28	29	lines	line	NOUN
fcis-22003	28	30	,	,	PUNCT
fcis-22003	28	31	the	the	DET
fcis-22003	28	32	sea	sea	NOUN
fcis-22003	28	33	surface	surface	NOUN
fcis-22003	28	34	height	height	NOUN
fcis-22003	28	35	(	(	PUNCT
fcis-22003	28	36	𝐷𝑖	𝐷𝑖	PROPN
fcis-22003	28	37	)	)	PUNCT
fcis-22003	28	38	measured	measure	VERB
fcis-22003	28	39	at	at	ADP
fcis-22003	28	40	the	the	PRON
fcis-22003	28	41	𝑖	𝑖	X
fcis-22003	28	42	−	−	PROPN
fcis-22003	28	43	𝑡ℎ	𝑡ℎ	NOUN
fcis-22003	28	44	survey	survey	NOUN
fcis-22003	28	45	line	line	NOUN
fcis-22003	28	46	can	can	AUX
fcis-22003	28	47	be	be	AUX
fcis-22003	28	48	obtained	obtain	VERB
fcis-22003	28	49	as	as	SCONJ
fcis-22003	28	50	follows	follow	VERB
fcis-22003	28	51	:	:	PUNCT
fcis-22003	28	52	𝐷𝑖	𝐷𝑖	PROPN
fcis-22003	28	53	𝐷	𝐷	NOUN
fcis-22003	28	54	=	=	SYM
fcis-22003	28	55	𝐿2−𝑑	𝐿2−𝑑	NOUN
fcis-22003	28	56	𝐿2	𝐿2	NOUN
fcis-22003	28	57	(	(	PUNCT
fcis-22003	28	58	11	11	NUM
fcis-22003	28	59	)	)	PUNCT
fcis-22003	28	60	where	where	SCONJ
fcis-22003	28	61	the	the	DET
fcis-22003	28	62	positive	positive	ADJ
fcis-22003	28	63	direction	direction	NOUN
fcis-22003	28	64	𝑑	𝑑	NOUN
fcis-22003	28	65	is	be	AUX
fcis-22003	28	66	the	the	DET
fcis-22003	28	67	direction	direction	NOUN
fcis-22003	28	68	from	from	ADP
fcis-22003	28	69	the	the	DET
fcis-22003	28	70	depth	depth	NOUN
fcis-22003	28	71	of	of	ADP
fcis-22003	28	72	water	water	NOUN
fcis-22003	28	73	to	to	ADP
fcis-22003	28	74	the	the	DET
fcis-22003	28	75	shallow	shallow	ADJ
fcis-22003	28	76	water	water	NOUN
fcis-22003	28	77	,	,	PUNCT
fcis-22003	28	78	the	the	DET
fcis-22003	28	79	value	value	NOUN
fcis-22003	28	80	𝐿2	𝐿2	NOUN
fcis-22003	28	81	is	be	AUX
fcis-22003	28	82	obtained	obtain	VERB
fcis-22003	28	83	from	from	ADP
fcis-22003	28	84	the	the	DET
fcis-22003	28	85	following	follow	VERB
fcis-22003	28	86	formula	formula	NOUN
fcis-22003	28	87	:	:	PUNCT
fcis-22003	28	88	𝐿2	𝐿2	PROPN
fcis-22003	28	89	sin	sin	NOUN
fcis-22003	28	90	(	(	PUNCT
fcis-22003	28	91	𝜋	𝜋	NOUN
fcis-22003	28	92	2	2	NUM
fcis-22003	28	93	−𝛼	−𝛼	ADJ
fcis-22003	28	94	)	)	PUNCT
fcis-22003	28	95	=	=	SYM
fcis-22003	28	96	𝐷	𝐷	PROPN
fcis-22003	28	97	𝑠𝑖𝑛𝛼	𝑠𝑖𝑛𝛼	NOUN
fcis-22003	28	98	(	(	PUNCT
fcis-22003	28	99	12	12	NUM
fcis-22003	28	100	)	)	PUNCT
fcis-22003	28	101	however	however	ADV
fcis-22003	28	102	,	,	PUNCT
fcis-22003	28	103	it	it	PRON
fcis-22003	28	104	is	be	AUX
fcis-22003	28	105	important	important	ADJ
fcis-22003	28	106	to	to	PART
fcis-22003	28	107	note	note	VERB
fcis-22003	28	108	that	that	SCONJ
fcis-22003	28	109	different	different	ADJ
fcis-22003	28	110	values	value	NOUN
fcis-22003	28	111	of	of	ADP
fcis-22003	28	112	the	the	DET
fcis-22003	28	113	angle	angle	NOUN
fcis-22003	28	114	𝛽	𝛽	NOUN
fcis-22003	28	115	require	require	VERB
fcis-22003	28	116	separate	separate	ADJ
fcis-22003	28	117	considerations	consideration	NOUN
fcis-22003	28	118	.	.	PUNCT
fcis-22003	29	1	figure	figure	VERB
fcis-22003	29	2	4	4	NUM
fcis-22003	29	3	illustrates	illustrate	VERB
fcis-22003	29	4	a	a	DET
fcis-22003	29	5	plan	plan	NOUN
fcis-22003	29	6	view	view	NOUN
fcis-22003	29	7	of	of	ADP
fcis-22003	29	8	the	the	DET
fcis-22003	29	9	measurement	measurement	NOUN
fcis-22003	29	10	of	of	ADP
fcis-22003	29	11	the	the	DET
fcis-22003	29	12	ship	ship	NOUN
fcis-22003	29	13	's	's	PART
fcis-22003	29	14	survey	survey	NOUN
fcis-22003	29	15	line	line	NOUN
fcis-22003	29	16	direction	direction	NOUN
fcis-22003	29	17	for	for	ADP
fcis-22003	29	18	different	different	ADJ
fcis-22003	29	19	values	value	NOUN
fcis-22003	29	20	of	of	ADP
fcis-22003	29	21	𝛽.	𝛽.	NOUN
fcis-22003	29	22	figure	figure	NOUN
fcis-22003	29	23	3	3	NUM
fcis-22003	29	24	.	.	PUNCT
fcis-22003	30	1	a	a	DET
fcis-22003	30	2	geometric	geometric	ADJ
fcis-22003	30	3	diagram	diagram	NOUN
fcis-22003	30	4	in	in	ADP
fcis-22003	30	5	the	the	DET
fcis-22003	30	6	direction	direction	NOUN
fcis-22003	30	7	of	of	ADP
fcis-22003	30	8	an	an	DET
fcis-22003	30	9	angular	angular	ADJ
fcis-22003	30	10	line	line	NOUN
fcis-22003	30	11	figure	figure	NOUN
fcis-22003	30	12	4	4	NUM
fcis-22003	30	13	.	.	PUNCT
fcis-22003	30	14	top	top	ADJ
fcis-22003	30	15	view	view	NOUN
fcis-22003	30	16	of	of	ADP
fcis-22003	30	17	line	line	NOUN
fcis-22003	30	18	direction	direction	NOUN
fcis-22003	30	19	in	in	ADP
fcis-22003	30	20	the	the	DET
fcis-22003	30	21	first	first	ADJ
fcis-22003	30	22	scenario	scenario	NOUN
fcis-22003	30	23	,	,	PUNCT
fcis-22003	30	24	when	when	SCONJ
fcis-22003	30	25	the	the	DET
fcis-22003	30	26	angle	angle	NOUN
fcis-22003	30	27	𝛽	𝛽	NOUN
fcis-22003	30	28	between	between	ADP
fcis-22003	30	29	the	the	DET
fcis-22003	30	30	survey	survey	NOUN
fcis-22003	30	31	line	line	NOUN
fcis-22003	30	32	directions	direction	NOUN
fcis-22003	30	33	is	be	AUX
fcis-22003	30	34	0	0	NUM
fcis-22003	30	35	°	°	NUM
fcis-22003	30	36	,	,	PUNCT
fcis-22003	30	37	and	and	CCONJ
fcis-22003	30	38	when	when	SCONJ
fcis-22003	30	39	𝛽𝑖	𝛽𝑖	ADV
fcis-22003	30	40	=	=	SYM
fcis-22003	30	41	0	0	NUM
fcis-22003	30	42	,	,	PUNCT
fcis-22003	30	43	the	the	DET
fcis-22003	30	44	cross	cross	ADJ
fcis-22003	30	45	-	-	ADJ
fcis-22003	30	46	sectional	sectional	ADJ
fcis-22003	30	47	triangle	triangle	NOUN
fcis-22003	30	48	no	no	ADV
fcis-22003	30	49	longer	long	ADV
fcis-22003	30	50	has	have	VERB
fcis-22003	30	51	a	a	DET
fcis-22003	30	52	slope	slope	NOUN
fcis-22003	30	53	,	,	PUNCT
fcis-22003	30	54	and	and	CCONJ
fcis-22003	30	55	𝛼′	𝛼′	PROPN
fcis-22003	30	56	is	be	AUX
fcis-22003	30	57	also	also	ADV
fcis-22003	30	58	0	0	NUM
fcis-22003	30	59	°	°	PROPN
fcis-22003	30	60	,	,	PUNCT
fcis-22003	30	61	making	make	VERB
fcis-22003	30	62	the	the	DET
fcis-22003	30	63	equation	equation	NOUN
fcis-22003	30	64	unable	unable	ADJ
fcis-22003	30	65	to	to	PART
fcis-22003	30	66	be	be	AUX
fcis-22003	30	67	solved	solve	VERB
fcis-22003	30	68	.	.	PUNCT
fcis-22003	31	1	when	when	SCONJ
fcis-22003	31	2	the	the	DET
fcis-22003	31	3	slope	slope	NOUN
fcis-22003	31	4	is	be	AUX
fcis-22003	31	5	0	0	NUM
fcis-22003	31	6	°	°	NUM
fcis-22003	31	7	,	,	PUNCT
fcis-22003	31	8	the	the	DET
fcis-22003	31	9	crosssection	crosssection	NOUN
fcis-22003	31	10	forms	form	VERB
fcis-22003	31	11	an	an	DET
fcis-22003	31	12	equilateral	equilateral	ADJ
fcis-22003	31	13	triangle	triangle	NOUN
fcis-22003	31	14	with	with	ADP
fcis-22003	31	15	a	a	DET
fcis-22003	31	16	vertex	vertex	NOUN
fcis-22003	31	17	angle	angle	NOUN
fcis-22003	31	18	𝜃	𝜃	NOUN
fcis-22003	31	19	of	of	ADP
fcis-22003	31	20	120	120	NUM
fcis-22003	31	21	°	°	NOUN
fcis-22003	31	22	.	.	PUNCT
fcis-22003	32	1	when	when	SCONJ
fcis-22003	32	2	the	the	DET
fcis-22003	32	3	depth	depth	NOUN
fcis-22003	32	4	is	be	AUX
fcis-22003	32	5	𝐷𝑖	𝐷𝑖	PROPN
fcis-22003	32	6	′	′	NOUN
fcis-22003	32	7	,	,	PUNCT
fcis-22003	32	8	the	the	DET
fcis-22003	32	9	width	width	NOUN
fcis-22003	32	10	𝑊	𝑊	PROPN
fcis-22003	32	11	is	be	AUX
fcis-22003	32	12	2√3𝐷𝑖.	2√3𝐷𝑖.	NUM
fcis-22003	32	13	for	for	ADP
fcis-22003	32	14	180	180	NUM
fcis-22003	32	15	°	°	NOUN
fcis-22003	32	16	,	,	PUNCT
fcis-22003	32	17	the	the	DET
fcis-22003	32	18	reverse	reverse	ADJ
fcis-22003	32	19	situation	situation	NOUN
fcis-22003	32	20	of	of	ADP
fcis-22003	32	21	0	0	NUM
fcis-22003	32	22	°	°	NUM
fcis-22003	32	23	,	,	PUNCT
fcis-22003	32	24	the	the	DET
fcis-22003	32	25	calculation	calculation	NOUN
fcis-22003	32	26	is	be	AUX
fcis-22003	32	27	similar	similar	ADJ
fcis-22003	32	28	.	.	PUNCT
fcis-22003	33	1	31	31	NUM
fcis-22003	33	2	the	the	DET
fcis-22003	33	3	second	second	ADJ
fcis-22003	33	4	case	case	NOUN
fcis-22003	33	5	,	,	PUNCT
fcis-22003	33	6	when	when	SCONJ
fcis-22003	33	7	the	the	DET
fcis-22003	33	8	angle	angle	NOUN
fcis-22003	33	9	is	be	AUX
fcis-22003	33	10	90	90	NUM
fcis-22003	33	11	°	°	NUM
fcis-22003	33	12	or	or	CCONJ
fcis-22003	33	13	270	270	NUM
fcis-22003	33	14	°	°	NOUN
fcis-22003	33	15	.	.	PUNCT
fcis-22003	34	1	when	when	SCONJ
fcis-22003	34	2	the	the	DET
fcis-22003	34	3	survey	survey	NOUN
fcis-22003	34	4	boat	boat	NOUN
fcis-22003	34	5	is	be	AUX
fcis-22003	34	6	traveling	travel	VERB
fcis-22003	34	7	along	along	ADP
fcis-22003	34	8	the	the	DET
fcis-22003	34	9	survey	survey	NOUN
fcis-22003	34	10	line	line	NOUN
fcis-22003	34	11	,	,	PUNCT
fcis-22003	34	12	it	it	PRON
fcis-22003	34	13	is	be	AUX
fcis-22003	34	14	parallel	parallel	ADJ
fcis-22003	34	15	to	to	ADP
fcis-22003	34	16	the	the	DET
fcis-22003	34	17	slope	slope	NOUN
fcis-22003	34	18	and	and	CCONJ
fcis-22003	34	19	the	the	DET
fcis-22003	34	20	depth	depth	NOUN
fcis-22003	34	21	remains	remain	VERB
fcis-22003	34	22	the	the	DET
fcis-22003	34	23	same	same	ADJ
fcis-22003	34	24	.	.	PUNCT
fcis-22003	35	1	other	other	ADJ
fcis-22003	35	2	angles	angle	NOUN
fcis-22003	35	3	can	can	AUX
fcis-22003	35	4	be	be	AUX
fcis-22003	35	5	calculated	calculate	VERB
fcis-22003	35	6	normally	normally	ADV
fcis-22003	35	7	.	.	PUNCT
fcis-22003	36	1	3	3	X
fcis-22003	36	2	.	.	X
fcis-22003	36	3	build	build	VERB
fcis-22003	36	4	the	the	DET
fcis-22003	36	5	optimal	optimal	ADJ
fcis-22003	36	6	line	line	NOUN
fcis-22003	36	7	path	path	NOUN
fcis-22003	36	8	design	design	NOUN
fcis-22003	36	9	model	model	NOUN
fcis-22003	36	10	based	base	VERB
fcis-22003	36	11	on	on	ADP
fcis-22003	36	12	exhaustion	exhaustion	NOUN
fcis-22003	36	13	based	base	VERB
fcis-22003	36	14	on	on	ADP
fcis-22003	36	15	the	the	DET
fcis-22003	36	16	established	establish	VERB
fcis-22003	36	17	mathematical	mathematical	ADJ
fcis-22003	36	18	model	model	NOUN
fcis-22003	36	19	of	of	ADP
fcis-22003	36	20	the	the	DET
fcis-22003	36	21	coverage	coverage	NOUN
fcis-22003	36	22	width	width	NOUN
fcis-22003	36	23	of	of	ADP
fcis-22003	36	24	multi	multi	ADJ
fcis-22003	36	25	-	-	ADJ
fcis-22003	36	26	beam	beam	ADJ
fcis-22003	36	27	sounding	sounding	NOUN
fcis-22003	36	28	,	,	PUNCT
fcis-22003	36	29	a	a	DET
fcis-22003	36	30	set	set	NOUN
fcis-22003	36	31	of	of	ADP
fcis-22003	36	32	multi	multi	ADJ
fcis-22003	36	33	-	-	ADJ
fcis-22003	36	34	beam	beam	ADJ
fcis-22003	36	35	surveying	surveying	NOUN
fcis-22003	36	36	line	line	NOUN
fcis-22003	36	37	is	be	AUX
fcis-22003	36	38	designed	design	VERB
fcis-22003	36	39	for	for	ADP
fcis-22003	36	40	the	the	DET
fcis-22003	36	41	rectangular	rectangular	ADJ
fcis-22003	36	42	sea	sea	NOUN
fcis-22003	36	43	area	area	NOUN
fcis-22003	36	44	,	,	PUNCT
fcis-22003	36	45	so	so	SCONJ
fcis-22003	36	46	that	that	SCONJ
fcis-22003	36	47	the	the	DET
fcis-22003	36	48	total	total	ADJ
fcis-22003	36	49	measuring	measuring	NOUN
fcis-22003	36	50	length	length	NOUN
fcis-22003	36	51	of	of	ADP
fcis-22003	36	52	the	the	DET
fcis-22003	36	53	surveying	surveying	NOUN
fcis-22003	36	54	line	line	NOUN
fcis-22003	36	55	is	be	AUX
fcis-22003	36	56	shortest	short	ADJ
fcis-22003	36	57	,	,	PUNCT
fcis-22003	36	58	and	and	CCONJ
fcis-22003	36	59	the	the	DET
fcis-22003	36	60	whole	whole	ADJ
fcis-22003	36	61	sea	sea	NOUN
fcis-22003	36	62	area	area	NOUN
fcis-22003	36	63	to	to	PART
fcis-22003	36	64	be	be	AUX
fcis-22003	36	65	measured	measure	VERB
fcis-22003	36	66	can	can	AUX
fcis-22003	36	67	be	be	AUX
fcis-22003	36	68	completely	completely	ADV
fcis-22003	36	69	covered	cover	VERB
fcis-22003	36	70	.	.	PUNCT
fcis-22003	37	1	3.1	3.1	NUM
fcis-22003	37	2	.	.	PUNCT
fcis-22003	37	3	establishment	establishment	NOUN
fcis-22003	37	4	of	of	ADP
fcis-22003	37	5	target	target	NOUN
fcis-22003	37	6	model	model	NOUN
fcis-22003	37	7	to	to	PART
fcis-22003	37	8	explore	explore	VERB
fcis-22003	37	9	the	the	DET
fcis-22003	37	10	relationship	relationship	NOUN
fcis-22003	37	11	between	between	ADP
fcis-22003	37	12	variables	variable	NOUN
fcis-22003	37	13	,	,	PUNCT
fcis-22003	37	14	with	with	ADP
fcis-22003	37	15	coverage	coverage	NOUN
fcis-22003	37	16	width	width	NOUN
fcis-22003	37	17	𝑊as	𝑊as	PROPN
fcis-22003	37	18	the	the	DET
fcis-22003	37	19	dependent	dependent	ADJ
fcis-22003	37	20	variable	variable	NOUN
fcis-22003	37	21	,	,	PUNCT
fcis-22003	37	22	and	and	CCONJ
fcis-22003	37	23	the	the	DET
fcis-22003	37	24	angle	angle	NOUN
fcis-22003	37	25	𝛽	𝛽	PROPN
fcis-22003	37	26	of	of	ADP
fcis-22003	37	27	the	the	DET
fcis-22003	37	28	sounding	sound	VERB
fcis-22003	37	29	line	line	NOUN
fcis-22003	37	30	direction	direction	NOUN
fcis-22003	37	31	and	and	CCONJ
fcis-22003	37	32	the	the	DET
fcis-22003	37	33	distance	distance	NOUN
fcis-22003	37	34	s	s	X
fcis-22003	37	35	of	of	ADP
fcis-22003	37	36	the	the	DET
fcis-22003	37	37	measurement	measurement	NOUN
fcis-22003	37	38	vessel	vessel	NOUN
fcis-22003	37	39	from	from	ADP
fcis-22003	37	40	the	the	DET
fcis-22003	37	41	shore	shore	NOUN
fcis-22003	37	42	as	as	ADP
fcis-22003	37	43	the	the	DET
fcis-22003	37	44	independent	independent	ADJ
fcis-22003	37	45	variables	variable	NOUN
fcis-22003	37	46	.	.	PUNCT
fcis-22003	38	1	the	the	DET
fcis-22003	38	2	study	study	NOUN
fcis-22003	38	3	found	find	VERB
fcis-22003	38	4	that	that	SCONJ
fcis-22003	38	5	when	when	SCONJ
fcis-22003	38	6	the	the	DET
fcis-22003	38	7	distance	distance	NOUN
fcis-22003	38	8	𝑠	𝑠	X
fcis-22003	38	9	from	from	ADP
fcis-22003	38	10	the	the	DET
fcis-22003	38	11	shore	shore	NOUN
fcis-22003	38	12	of	of	ADP
fcis-22003	38	13	the	the	DET
fcis-22003	38	14	measuring	measure	VERB
fcis-22003	38	15	ship	ship	NOUN
fcis-22003	38	16	is	be	AUX
fcis-22003	38	17	constant	constant	ADJ
fcis-22003	38	18	,	,	PUNCT
fcis-22003	38	19	the	the	DET
fcis-22003	38	20	function	function	NOUN
fcis-22003	38	21	image	image	NOUN
fcis-22003	38	22	of	of	ADP
fcis-22003	38	23	𝑊	𝑊	PROPN
fcis-22003	38	24	is	be	AUX
fcis-22003	38	25	an	an	DET
fcis-22003	38	26	image	image	NOUN
fcis-22003	38	27	of	of	ADP
fcis-22003	38	28	trigonometric	trigonometric	ADJ
fcis-22003	38	29	function	function	NOUN
fcis-22003	38	30	class	class	NOUN
fcis-22003	38	31	,	,	PUNCT
fcis-22003	38	32	its	its	PRON
fcis-22003	38	33	value	value	NOUN
fcis-22003	38	34	changes	change	VERB
fcis-22003	38	35	periodically	periodically	ADV
fcis-22003	38	36	with	with	ADP
fcis-22003	38	37	the	the	DET
fcis-22003	38	38	change	change	NOUN
fcis-22003	38	39	of	of	ADP
fcis-22003	38	40	𝛽	𝛽	NOUN
fcis-22003	38	41	,	,	PUNCT
fcis-22003	38	42	the	the	DET
fcis-22003	38	43	amplitude	amplitude	NOUN
fcis-22003	38	44	𝐴	𝐴	PROPN
fcis-22003	38	45	is	be	AUX
fcis-22003	38	46	determined	determine	VERB
fcis-22003	38	47	by	by	ADP
fcis-22003	38	48	the	the	DET
fcis-22003	38	49	corresponding	correspond	VERB
fcis-22003	38	50	distance	distance	NOUN
fcis-22003	38	51	s	s	VERB
fcis-22003	38	52	from	from	ADP
fcis-22003	38	53	the	the	DET
fcis-22003	38	54	shore	shore	NOUN
fcis-22003	38	55	of	of	ADP
fcis-22003	38	56	the	the	DET
fcis-22003	38	57	measuring	measure	VERB
fcis-22003	38	58	ship	ship	NOUN
fcis-22003	38	59	,	,	PUNCT
fcis-22003	38	60	and	and	CCONJ
fcis-22003	38	61	the	the	DET
fcis-22003	38	62	period	period	NOUN
fcis-22003	38	63	𝑇	𝑇	PROPN
fcis-22003	38	64	is	be	AUX
fcis-22003	38	65	constant	constant	ADJ
fcis-22003	38	66	𝜋.when	𝜋.when	ADV
fcis-22003	38	67	the	the	DET
fcis-22003	38	68	angle	angle	NOUN
fcis-22003	38	69	of	of	ADP
fcis-22003	38	70	the	the	DET
fcis-22003	38	71	direction	direction	NOUN
fcis-22003	38	72	of	of	ADP
fcis-22003	38	73	the	the	DET
fcis-22003	38	74	control	control	NOUN
fcis-22003	38	75	line	line	NOUN
fcis-22003	38	76	is	be	AUX
fcis-22003	38	77	constant	constant	ADJ
fcis-22003	38	78	𝛽	𝛽	NOUN
fcis-22003	38	79	,	,	PUNCT
fcis-22003	38	80	𝑊	𝑊	PROPN
fcis-22003	38	81	is	be	AUX
fcis-22003	38	82	proportional	proportional	ADJ
fcis-22003	38	83	to	to	ADP
fcis-22003	38	84	the	the	DET
fcis-22003	38	85	distance	distance	NOUN
fcis-22003	38	86	from	from	ADP
fcis-22003	38	87	the	the	DET
fcis-22003	38	88	measuring	measure	VERB
fcis-22003	38	89	ship	ship	NOUN
fcis-22003	38	90	to	to	ADP
fcis-22003	38	91	the	the	DET
fcis-22003	38	92	shore	shore	NOUN
fcis-22003	38	93	,	,	PUNCT
fcis-22003	38	94	and	and	CCONJ
fcis-22003	38	95	the	the	DET
fcis-22003	38	96	farther	far	ADV
fcis-22003	38	97	away	away	ADV
fcis-22003	38	98	from	from	ADP
fcis-22003	38	99	the	the	DET
fcis-22003	38	100	shore	shore	NOUN
fcis-22003	38	101	,	,	PUNCT
fcis-22003	38	102	the	the	PRON
fcis-22003	38	103	larger	large	ADJ
fcis-22003	38	104	the	the	DET
fcis-22003	38	105	coverage	coverage	NOUN
fcis-22003	38	106	width	width	NOUN
fcis-22003	38	107	.	.	PUNCT
fcis-22003	39	1	therefore	therefore	ADV
fcis-22003	39	2	,	,	PUNCT
fcis-22003	39	3	it	it	PRON
fcis-22003	39	4	can	can	AUX
fcis-22003	39	5	be	be	AUX
fcis-22003	39	6	inferred	infer	VERB
fcis-22003	39	7	that	that	SCONJ
fcis-22003	39	8	the	the	DET
fcis-22003	39	9	surveying	surveying	NOUN
fcis-22003	39	10	line	line	NOUN
fcis-22003	39	11	will	will	AUX
fcis-22003	39	12	be	be	AUX
fcis-22003	39	13	denser	dense	ADJ
fcis-22003	39	14	at	at	ADP
fcis-22003	39	15	the	the	DET
fcis-22003	39	16	shallow	shallow	ADJ
fcis-22003	39	17	water	water	NOUN
fcis-22003	39	18	and	and	CCONJ
fcis-22003	39	19	sparse	sparse	VERB
fcis-22003	39	20	at	at	ADP
fcis-22003	39	21	the	the	DET
fcis-22003	39	22	deep	deep	ADJ
fcis-22003	39	23	water	water	NOUN
fcis-22003	39	24	;	;	PUNCT
fcis-22003	39	25	𝛽𝑖	𝛽𝑖	VERB
fcis-22003	39	26	near	near	ADP
fcis-22003	39	27	90	90	NUM
fcis-22003	39	28	°	°	NOUN
fcis-22003	39	29	,	,	PUNCT
fcis-22003	39	30	the	the	DET
fcis-22003	39	31	overall	overall	ADJ
fcis-22003	39	32	length	length	NOUN
fcis-22003	39	33	of	of	ADP
fcis-22003	39	34	the	the	DET
fcis-22003	39	35	line	line	NOUN
fcis-22003	39	36	will	will	AUX
fcis-22003	39	37	be	be	AUX
fcis-22003	39	38	smaller	small	ADJ
fcis-22003	39	39	.	.	PUNCT
fcis-22003	40	1	according	accord	VERB
fcis-22003	40	2	to	to	ADP
fcis-22003	40	3	the	the	DET
fcis-22003	40	4	above	above	ADJ
fcis-22003	40	5	conjecture	conjecture	NOUN
fcis-22003	40	6	,	,	PUNCT
fcis-22003	40	7	the	the	DET
fcis-22003	40	8	optimal	optimal	ADJ
fcis-22003	40	9	solution	solution	NOUN
fcis-22003	40	10	is	be	AUX
fcis-22003	40	11	obtained	obtain	VERB
fcis-22003	40	12	when	when	SCONJ
fcis-22003	40	13	the	the	DET
fcis-22003	40	14	𝛽𝑖	𝛽𝑖	NOUN
fcis-22003	40	15	is	be	AUX
fcis-22003	40	16	fixed	fix	VERB
fcis-22003	40	17	at	at	ADP
fcis-22003	40	18	90	90	NUM
fcis-22003	40	19	°	°	NOUN
fcis-22003	40	20	,	,	PUNCT
fcis-22003	40	21	and	and	CCONJ
fcis-22003	40	22	the	the	DET
fcis-22003	40	23	approximate	approximate	ADJ
fcis-22003	40	24	range	range	NOUN
fcis-22003	40	25	of	of	ADP
fcis-22003	40	26	the	the	DET
fcis-22003	40	27	total	total	ADJ
fcis-22003	40	28	number	number	NOUN
fcis-22003	40	29	𝑛	𝑛	PROPN
fcis-22003	40	30	and	and	CCONJ
fcis-22003	40	31	the	the	DET
fcis-22003	40	32	total	total	ADJ
fcis-22003	40	33	length	length	NOUN
fcis-22003	40	34	of	of	ADP
fcis-22003	40	35	the	the	DET
fcis-22003	40	36	measured	measure	VERB
fcis-22003	40	37	lines	line	NOUN
fcis-22003	40	38	is	be	AUX
fcis-22003	40	39	determined	determine	VERB
fcis-22003	40	40	[	[	PUNCT
fcis-22003	40	41	4	4	NUM
fcis-22003	40	42	]	]	PUNCT
fcis-22003	40	43	.	.	PUNCT
fcis-22003	41	1	set	set	VERB
fcis-22003	41	2	the	the	DET
fcis-22003	41	3	coast	coast	NOUN
fcis-22003	41	4	length	length	NOUN
fcis-22003	41	5	of	of	ADP
fcis-22003	41	6	the	the	DET
fcis-22003	41	7	east	east	NOUN
fcis-22003	41	8	and	and	CCONJ
fcis-22003	41	9	west	west	ADJ
fcis-22003	41	10	coasts	coast	NOUN
fcis-22003	41	11	as	as	ADP
fcis-22003	41	12	𝑚1	𝑚1	NOUN
fcis-22003	41	13	,	,	PUNCT
fcis-22003	41	14	and	and	CCONJ
fcis-22003	41	15	the	the	DET
fcis-22003	41	16	coast	coast	NOUN
fcis-22003	41	17	length	length	NOUN
fcis-22003	41	18	of	of	ADP
fcis-22003	41	19	the	the	DET
fcis-22003	41	20	north	north	NOUN
fcis-22003	41	21	and	and	CCONJ
fcis-22003	41	22	south	south	ADJ
fcis-22003	41	23	coasts	coast	NOUN
fcis-22003	41	24	as	as	ADP
fcis-22003	41	25	𝑚2	𝑚2	NOUN
fcis-22003	41	26	,	,	PUNCT
fcis-22003	41	27	and	and	CCONJ
fcis-22003	41	28	simulate	simulate	VERB
fcis-22003	41	29	the	the	DET
fcis-22003	41	30	survey	survey	NOUN
fcis-22003	41	31	line	line	NOUN
fcis-22003	41	32	process	process	NOUN
fcis-22003	41	33	between	between	ADP
fcis-22003	41	34	the	the	DET
fcis-22003	41	35	north	north	NOUN
fcis-22003	41	36	and	and	CCONJ
fcis-22003	41	37	south	south	ADJ
fcis-22003	41	38	coasts	coast	NOUN
fcis-22003	41	39	as	as	ADP
fcis-22003	41	40	a	a	DET
fcis-22003	41	41	top	top	ADJ
fcis-22003	41	42	view	view	NOUN
fcis-22003	41	43	,	,	PUNCT
fcis-22003	41	44	as	as	SCONJ
fcis-22003	41	45	shown	show	VERB
fcis-22003	41	46	in	in	ADP
fcis-22003	41	47	figure	figure	NOUN
fcis-22003	41	48	5	5	NUM
fcis-22003	41	49	,	,	PUNCT
fcis-22003	41	50	then	then	ADV
fcis-22003	41	51	the	the	DET
fcis-22003	41	52	voyage	voyage	NOUN
fcis-22003	41	53	of	of	ADP
fcis-22003	41	54	the	the	DET
fcis-22003	41	55	survey	survey	NOUN
fcis-22003	41	56	ship	ship	NOUN
fcis-22003	41	57	in	in	ADP
fcis-22003	41	58	the	the	DET
fcis-22003	41	59	following	follow	VERB
fcis-22003	41	60	figure	figure	NOUN
fcis-22003	41	61	can	can	AUX
fcis-22003	41	62	be	be	AUX
fcis-22003	41	63	divided	divide	VERB
fcis-22003	41	64	into	into	ADP
fcis-22003	41	65	two	two	NUM
fcis-22003	41	66	situations	situation	NOUN
fcis-22003	41	67	:	:	PUNCT
fcis-22003	41	68	first	first	ADV
fcis-22003	41	69	,	,	PUNCT
fcis-22003	41	70	it	it	PRON
fcis-22003	41	71	starts	start	VERB
fcis-22003	41	72	from	from	ADP
fcis-22003	41	73	the	the	DET
fcis-22003	41	74	north	north	PROPN
fcis-22003	41	75	bank	bank	NOUN
fcis-22003	41	76	and	and	CCONJ
fcis-22003	41	77	stops	stop	VERB
fcis-22003	41	78	from	from	ADP
fcis-22003	41	79	the	the	DET
fcis-22003	41	80	south	south	PROPN
fcis-22003	41	81	bank	bank	NOUN
fcis-22003	41	82	,	,	PUNCT
fcis-22003	41	83	and	and	CCONJ
fcis-22003	41	84	the	the	DET
fcis-22003	41	85	survey	survey	NOUN
fcis-22003	41	86	line	line	NOUN
fcis-22003	41	87	reaches	reach	VERB
fcis-22003	41	88	both	both	DET
fcis-22003	41	89	sides	side	NOUN
fcis-22003	41	90	completely	completely	ADV
fcis-22003	41	91	;	;	PUNCT
fcis-22003	41	92	the	the	DET
fcis-22003	41	93	second	second	NOUN
fcis-22003	41	94	is	be	AUX
fcis-22003	41	95	the	the	DET
fcis-22003	41	96	north	north	NOUN
fcis-22003	41	97	coast	coast	NOUN
fcis-22003	41	98	,	,	PUNCT
fcis-22003	41	99	but	but	CCONJ
fcis-22003	41	100	did	do	AUX
fcis-22003	41	101	not	not	PART
fcis-22003	41	102	reach	reach	VERB
fcis-22003	41	103	the	the	DET
fcis-22003	41	104	south	south	ADJ
fcis-22003	41	105	coast	coast	NOUN
fcis-22003	41	106	,	,	PUNCT
fcis-22003	41	107	the	the	DET
fcis-22003	41	108	end	end	NOUN
fcis-22003	41	109	of	of	ADP
fcis-22003	41	110	the	the	DET
fcis-22003	41	111	east	east	ADJ
fcis-22003	41	112	or	or	CCONJ
fcis-22003	41	113	west	west	PROPN
fcis-22003	41	114	coast	coast	PROPN
fcis-22003	41	115	.	.	PUNCT
fcis-22003	42	1	3.2	3.2	NUM
fcis-22003	42	2	.	.	PUNCT
fcis-22003	43	1	algorithm	algorithm	NOUN
fcis-22003	43	2	construction	construction	NOUN
fcis-22003	43	3	as	as	SCONJ
fcis-22003	43	4	shown	show	VERB
fcis-22003	43	5	in	in	ADP
fcis-22003	43	6	figure	figure	NOUN
fcis-22003	43	7	6	6	NUM
fcis-22003	43	8	,	,	PUNCT
fcis-22003	43	9	the	the	DET
fcis-22003	43	10	total	total	ADJ
fcis-22003	43	11	length	length	NOUN
fcis-22003	43	12	of	of	ADP
fcis-22003	43	13	the	the	DET
fcis-22003	43	14	measured	measure	VERB
fcis-22003	43	15	distance	distance	NOUN
fcis-22003	43	16	at	at	ADP
fcis-22003	43	17	this	this	DET
fcis-22003	43	18	time	time	NOUN
fcis-22003	43	19	is	be	AUX
fcis-22003	43	20	[	[	X
fcis-22003	43	21	5	5	NUM
fcis-22003	43	22	]	]	PUNCT
fcis-22003	43	23	:	:	PUNCT
fcis-22003	43	24	𝐿(𝛽	𝐿(𝛽	NUM
fcis-22003	43	25	)	)	PUNCT
fcis-22003	43	26	=	=	PUNCT
fcis-22003	44	1	∑	∑	PUNCT
fcis-22003	44	2	𝐿𝑖	𝐿𝑖	VERB
fcis-22003	44	3	𝑛	𝑛	PRON
fcis-22003	44	4	𝑖=1	𝑖=1	PROPN
fcis-22003	44	5	(	(	PUNCT
fcis-22003	44	6	13	13	NUM
fcis-22003	44	7	)	)	PUNCT
fcis-22003	44	8	the	the	DET
fcis-22003	44	9	length	length	NOUN
fcis-22003	44	10	of	of	ADP
fcis-22003	44	11	the	the	PRON
fcis-22003	44	12	𝑖	𝑖	NOUN
fcis-22003	44	13	−	−	NOUN
fcis-22003	44	14	𝑡ℎ	𝑡ℎ	NOUN
fcis-22003	44	15	line	line	NOUN
fcis-22003	44	16	𝐿𝑖	𝐿𝑖	PROPN
fcis-22003	44	17	satisfies	satisfy	VERB
fcis-22003	44	18	the	the	DET
fcis-22003	44	19	equation	equation	NOUN
fcis-22003	44	20	:	:	PUNCT
fcis-22003	44	21	𝐿𝑖	𝐿𝑖	NOUN
fcis-22003	44	22	=	=	SYM
fcis-22003	44	23	𝑚1	𝑚1	NOUN
fcis-22003	44	24	𝑠𝑖𝑛𝛽𝑖	𝑠𝑖𝑛𝛽𝑖	ADJ
fcis-22003	44	25	(	(	PUNCT
fcis-22003	44	26	14	14	NUM
fcis-22003	44	27	)	)	PUNCT
fcis-22003	44	28	suppose	suppose	VERB
fcis-22003	44	29	that	that	SCONJ
fcis-22003	44	30	the	the	DET
fcis-22003	44	31	overlap	overlap	NOUN
fcis-22003	44	32	rate	rate	NOUN
fcis-22003	44	33	between	between	ADP
fcis-22003	44	34	adjacent	adjacent	ADJ
fcis-22003	44	35	strips	strip	NOUN
fcis-22003	44	36	is	be	AUX
fcis-22003	44	37	required	require	VERB
fcis-22003	44	38	to	to	PART
fcis-22003	44	39	be	be	AUX
fcis-22003	44	40	between	between	ADP
fcis-22003	44	41	10	10	NUM
fcis-22003	44	42	%	%	NOUN
fcis-22003	44	43	and	and	CCONJ
fcis-22003	44	44	20	20	NUM
fcis-22003	44	45	%	%	NOUN
fcis-22003	44	46	,	,	PUNCT
fcis-22003	44	47	that	that	PRON
fcis-22003	44	48	is	be	AUX
fcis-22003	44	49	:	:	PUNCT
fcis-22003	44	50	10	10	NUM
fcis-22003	44	51	%	%	NOUN
fcis-22003	44	52	≤	≤	NUM
fcis-22003	44	53	𝜂𝑖	𝜂𝑖	PROPN
fcis-22003	44	54	≤	≤	NUM
fcis-22003	44	55	20	20	NUM
fcis-22003	44	56	%	%	NOUN
fcis-22003	44	57	,	,	PUNCT
fcis-22003	44	58	𝑖	𝑖	NOUN
fcis-22003	44	59	=	=	SYM
fcis-22003	44	60	2	2	NUM
fcis-22003	44	61	,	,	PUNCT
fcis-22003	44	62	…	…	PUNCT
fcis-22003	44	63	,	,	PUNCT
fcis-22003	45	1	𝑛	𝑛	X
fcis-22003	45	2	(	(	PUNCT
fcis-22003	45	3	15	15	NUM
fcis-22003	45	4	)	)	PUNCT
fcis-22003	45	5	where	where	SCONJ
fcis-22003	45	6	,	,	PUNCT
fcis-22003	45	7	𝜂𝑖	𝜂𝑖	PROPN
fcis-22003	45	8	refers	refer	VERB
fcis-22003	45	9	to	to	ADP
fcis-22003	45	10	the	the	DET
fcis-22003	45	11	overlap	overlap	NOUN
fcis-22003	45	12	rate	rate	NOUN
fcis-22003	45	13	between	between	ADP
fcis-22003	45	14	the	the	DET
fcis-22003	45	15	𝑖	𝑖	X
fcis-22003	45	16	−	−	PROPN
fcis-22003	45	17	𝑡ℎ	𝑡ℎ	PROPN
fcis-22003	45	18	measurement	measurement	NOUN
fcis-22003	45	19	line	line	NOUN
fcis-22003	45	20	and	and	CCONJ
fcis-22003	45	21	the	the	DET
fcis-22003	45	22	𝑖	𝑖	NOUN
fcis-22003	45	23	−	−	PROPN
fcis-22003	45	24	1	1	NUM
fcis-22003	45	25	right	right	ADJ
fcis-22003	45	26	measurement	measurement	NOUN
fcis-22003	45	27	line	line	NOUN
fcis-22003	45	28	.	.	PUNCT
fcis-22003	46	1	since	since	SCONJ
fcis-22003	46	2	there	there	PRON
fcis-22003	46	3	is	be	VERB
fcis-22003	46	4	overlap	overlap	NOUN
fcis-22003	46	5	between	between	ADP
fcis-22003	46	6	adjacent	adjacent	ADJ
fcis-22003	46	7	strips	strip	NOUN
fcis-22003	46	8	,	,	PUNCT
fcis-22003	46	9	if	if	SCONJ
fcis-22003	46	10	you	you	PRON
fcis-22003	46	11	want	want	VERB
fcis-22003	46	12	the	the	DET
fcis-22003	46	13	survey	survey	NOUN
fcis-22003	46	14	line	line	NOUN
fcis-22003	46	15	to	to	PART
fcis-22003	46	16	completely	completely	ADV
fcis-22003	46	17	cover	cover	VERB
fcis-22003	46	18	the	the	DET
fcis-22003	46	19	entire	entire	ADJ
fcis-22003	46	20	sea	sea	NOUN
fcis-22003	46	21	area	area	NOUN
fcis-22003	46	22	to	to	PART
fcis-22003	46	23	be	be	AUX
fcis-22003	46	24	measured	measure	VERB
fcis-22003	46	25	,	,	PUNCT
fcis-22003	46	26	you	you	PRON
fcis-22003	46	27	need	need	VERB
fcis-22003	46	28	the	the	DET
fcis-22003	46	29	survey	survey	NOUN
fcis-22003	46	30	line	line	NOUN
fcis-22003	46	31	to	to	PART
fcis-22003	46	32	cover	cover	VERB
fcis-22003	46	33	the	the	DET
fcis-22003	46	34	width	width	NOUN
fcis-22003	46	35	of	of	ADP
fcis-22003	46	36	the	the	DET
fcis-22003	46	37	north	north	NOUN
fcis-22003	46	38	and	and	CCONJ
fcis-22003	46	39	south	south	ADJ
fcis-22003	46	40	sides	side	NOUN
fcis-22003	46	41	of	of	ADP
fcis-22003	46	42	the	the	DET
fcis-22003	46	43	bank	bank	NOUN
fcis-22003	46	44	greater	great	ADJ
fcis-22003	46	45	than	than	ADP
fcis-22003	46	46	the	the	DET
fcis-22003	46	47	width	width	NOUN
fcis-22003	46	48	of	of	ADP
fcis-22003	46	49	the	the	DET
fcis-22003	46	50	shore	shore	NOUN
fcis-22003	46	51	,	,	PUNCT
fcis-22003	46	52	that	that	ADV
fcis-22003	46	53	is	be	AUX
fcis-22003	46	54	:	:	PUNCT
fcis-22003	46	55	figure	figure	NOUN
fcis-22003	46	56	5	5	NUM
fcis-22003	46	57	.	.	PUNCT
fcis-22003	46	58	top	top	ADJ
fcis-22003	46	59	view	view	NOUN
fcis-22003	46	60	of	of	ADP
fcis-22003	46	61	simulated	simulated	ADJ
fcis-22003	46	62	line	line	NOUN
fcis-22003	46	63	process	process	NOUN
fcis-22003	46	64	between	between	ADP
fcis-22003	46	65	north	north	NOUN
fcis-22003	46	66	and	and	CCONJ
fcis-22003	46	67	south	south	ADJ
fcis-22003	46	68	coasts	coast	NOUN
fcis-22003	46	69	figure	figure	VERB
fcis-22003	46	70	6	6	NUM
fcis-22003	46	71	.	.	PUNCT
fcis-22003	46	72	top	top	ADJ
fcis-22003	46	73	view	view	NOUN
fcis-22003	46	74	of	of	ADP
fcis-22003	46	75	the	the	DET
fcis-22003	46	76	survey	survey	NOUN
fcis-22003	46	77	line	line	NOUN
fcis-22003	46	78	reaching	reach	VERB
fcis-22003	46	79	the	the	DET
fcis-22003	46	80	north	north	NOUN
fcis-22003	46	81	and	and	CCONJ
fcis-22003	46	82	south	south	ADJ
fcis-22003	46	83	sides	side	NOUN
fcis-22003	46	84	of	of	ADP
fcis-22003	46	85	the	the	DET
fcis-22003	46	86	starting	starting	NOUN
fcis-22003	46	87	and	and	CCONJ
fcis-22003	46	88	ending	end	VERB
fcis-22003	46	89	points	point	NOUN
fcis-22003	46	90	∑	∑	PROPN
fcis-22003	46	91	𝑊𝑁(𝛽𝑖	𝑊𝑁(𝛽𝑖	PROPN
fcis-22003	46	92	,	,	PUNCT
fcis-22003	46	93	𝑛	𝑛	PROPN
fcis-22003	46	94	)	)	PUNCT
fcis-22003	47	1	>	>	X
fcis-22003	47	2	𝑚1	𝑚1	X
fcis-22003	47	3	𝑛	𝑛	ADP
fcis-22003	47	4	𝑖=1	𝑖=1	PROPN
fcis-22003	47	5	(	(	PUNCT
fcis-22003	47	6	16	16	NUM
fcis-22003	47	7	)	)	PUNCT
fcis-22003	47	8	∑	∑	PROPN
fcis-22003	47	9	𝑊𝑆(𝛽𝑖	𝑊𝑆(𝛽𝑖	PROPN
fcis-22003	47	10	,	,	PUNCT
fcis-22003	47	11	𝑛	𝑛	PROPN
fcis-22003	47	12	)	)	PUNCT
fcis-22003	47	13	>	>	X
fcis-22003	47	14	𝑚1	𝑚1	X
fcis-22003	47	15	𝑛	𝑛	ADP
fcis-22003	47	16	𝑖=1	𝑖=1	PROPN
fcis-22003	47	17	(	(	PUNCT
fcis-22003	47	18	17	17	NUM
fcis-22003	47	19	)	)	PUNCT
fcis-22003	47	20	by	by	ADP
fcis-22003	47	21	calculating	calculate	VERB
fcis-22003	47	22	the	the	DET
fcis-22003	47	23	number	number	NOUN
fcis-22003	47	24	of	of	ADP
fcis-22003	47	25	measurements	measurement	NOUN
fcis-22003	47	26	when	when	SCONJ
fcis-22003	47	27	the	the	DET
fcis-22003	47	28	direction	direction	NOUN
fcis-22003	47	29	of	of	ADP
fcis-22003	47	30	the	the	DET
fcis-22003	47	31	survey	survey	NOUN
fcis-22003	47	32	line	line	NOUN
fcis-22003	47	33	is	be	AUX
fcis-22003	47	34	always	always	ADV
fcis-22003	47	35	90	90	NUM
fcis-22003	47	36	°	°	NOUN
fcis-22003	47	37	,	,	PUNCT
fcis-22003	47	38	the	the	DET
fcis-22003	47	39	number	number	NOUN
fcis-22003	47	40	of	of	ADP
fcis-22003	47	41	measurements	measurement	NOUN
fcis-22003	47	42	under	under	ADP
fcis-22003	47	43	the	the	DET
fcis-22003	47	44	direction	direction	NOUN
fcis-22003	47	45	of	of	ADP
fcis-22003	47	46	other	other	ADJ
fcis-22003	47	47	survey	survey	NOUN
fcis-22003	47	48	lines	line	NOUN
fcis-22003	47	49	can	can	AUX
fcis-22003	47	50	be	be	AUX
fcis-22003	47	51	roughly	roughly	ADV
fcis-22003	47	52	estimated	estimate	VERB
fcis-22003	47	53	.	.	PUNCT
fcis-22003	48	1	at	at	ADP
fcis-22003	48	2	this	this	DET
fcis-22003	48	3	time	time	NOUN
fcis-22003	48	4	,	,	PUNCT
fcis-22003	48	5	the	the	DET
fcis-22003	48	6	measurement	measurement	NOUN
fcis-22003	48	7	length	length	NOUN
fcis-22003	48	8	is	be	AUX
fcis-22003	48	9	only	only	ADV
fcis-22003	48	10	related	relate	VERB
fcis-22003	48	11	to	to	ADP
fcis-22003	48	12	the	the	DET
fcis-22003	48	13	number	number	NOUN
fcis-22003	48	14	of	of	ADP
fcis-22003	48	15	measurements	measurement	NOUN
fcis-22003	48	16	,	,	PUNCT
fcis-22003	48	17	in	in	ADP
fcis-22003	48	18	order	order	NOUN
fcis-22003	48	19	to	to	PART
fcis-22003	48	20	minimize	minimize	VERB
fcis-22003	48	21	the	the	DET
fcis-22003	48	22	number	number	NOUN
fcis-22003	48	23	of	of	ADP
fcis-22003	48	24	measurements	measurement	NOUN
fcis-22003	48	25	,	,	PUNCT
fcis-22003	48	26	we	we	PRON
fcis-22003	48	27	should	should	AUX
fcis-22003	48	28	try	try	VERB
fcis-22003	48	29	to	to	PART
fcis-22003	48	30	ensure	ensure	VERB
fcis-22003	48	31	the	the	DET
fcis-22003	48	32	maximum	maximum	ADJ
fcis-22003	48	33	gap	gap	NOUN
fcis-22003	48	34	,	,	PUNCT
fcis-22003	48	35	that	that	ADV
fcis-22003	48	36	is	is	ADV
fcis-22003	48	37	,	,	PUNCT
fcis-22003	48	38	the	the	DET
fcis-22003	48	39	minimum	minimum	ADJ
fcis-22003	48	40	overlap	overlap	NOUN
fcis-22003	48	41	rate	rate	NOUN
fcis-22003	48	42	,	,	PUNCT
fcis-22003	48	43	so	so	CCONJ
fcis-22003	48	44	the	the	DET
fcis-22003	48	45	overlap	overlap	NOUN
fcis-22003	48	46	rate	rate	NOUN
fcis-22003	48	47	is	be	AUX
fcis-22003	48	48	set	set	VERB
fcis-22003	48	49	at	at	ADP
fcis-22003	48	50	10	10	NUM
fcis-22003	48	51	%	%	NOUN
fcis-22003	48	52	.	.	PUNCT
fcis-22003	49	1	since	since	SCONJ
fcis-22003	49	2	the	the	DET
fcis-22003	49	3	west	west	NOUN
fcis-22003	49	4	is	be	AUX
fcis-22003	49	5	deep	deep	ADJ
fcis-22003	49	6	and	and	CCONJ
fcis-22003	49	7	the	the	DET
fcis-22003	49	8	east	east	NOUN
fcis-22003	49	9	is	be	AUX
fcis-22003	49	10	shallow	shallow	ADJ
fcis-22003	49	11	,	,	PUNCT
fcis-22003	49	12	the	the	DET
fcis-22003	49	13	measurement	measurement	NOUN
fcis-22003	49	14	starts	start	VERB
fcis-22003	49	15	from	from	ADP
fcis-22003	49	16	the	the	DET
fcis-22003	49	17	west	west	PROPN
fcis-22003	49	18	bank	bank	PROPN
fcis-22003	49	19	,	,	PUNCT
fcis-22003	49	20	and	and	CCONJ
fcis-22003	49	21	the	the	DET
fcis-22003	49	22	area	area	NOUN
fcis-22003	49	23	that	that	PRON
fcis-22003	49	24	the	the	DET
fcis-22003	49	25	measurement	measurement	NOUN
fcis-22003	49	26	strip	strip	NOUN
fcis-22003	49	27	can	can	AUX
fcis-22003	49	28	not	not	PART
fcis-22003	49	29	cover	cover	VERB
fcis-22003	49	30	when	when	SCONJ
fcis-22003	49	31	it	it	PRON
fcis-22003	49	32	reaches	reach	VERB
fcis-22003	49	33	the	the	DET
fcis-22003	49	34	east	east	PROPN
fcis-22003	49	35	coast	coast	NOUN
fcis-22003	49	36	is	be	AUX
fcis-22003	49	37	much	much	ADV
fcis-22003	49	38	smaller	small	ADJ
fcis-22003	49	39	than	than	ADP
fcis-22003	49	40	the	the	DET
fcis-22003	49	41	area	area	NOUN
fcis-22003	49	42	starting	start	VERB
fcis-22003	49	43	from	from	ADP
fcis-22003	49	44	the	the	DET
fcis-22003	49	45	east	east	PROPN
fcis-22003	49	46	coast	coast	NOUN
fcis-22003	49	47	,	,	PUNCT
fcis-22003	49	48	and	and	CCONJ
fcis-22003	49	49	through	through	ADP
fcis-22003	49	50	programming	programming	NOUN
fcis-22003	49	51	verification	verification	NOUN
fcis-22003	49	52	,	,	PUNCT
fcis-22003	49	53	the	the	DET
fcis-22003	49	54	number	number	NOUN
fcis-22003	49	55	of	of	ADP
fcis-22003	49	56	measurements	measurement	NOUN
fcis-22003	49	57	starting	start	VERB
fcis-22003	49	58	from	from	ADP
fcis-22003	49	59	the	the	DET
fcis-22003	49	60	west	west	PROPN
fcis-22003	49	61	bank	bank	PROPN
fcis-22003	49	62	is	be	AUX
fcis-22003	49	63	less	less	ADJ
fcis-22003	49	64	than	than	ADP
fcis-22003	49	65	the	the	DET
fcis-22003	49	66	east	east	ADJ
fcis-22003	49	67	side	side	NOUN
fcis-22003	49	68	,	,	PUNCT
fcis-22003	49	69	so	so	SCONJ
fcis-22003	49	70	it	it	PRON
fcis-22003	49	71	is	be	AUX
fcis-22003	49	72	assumed	assume	VERB
fcis-22003	49	73	that	that	SCONJ
fcis-22003	49	74	the	the	DET
fcis-22003	49	75	survey	survey	NOUN
fcis-22003	49	76	ship	ship	NOUN
fcis-22003	49	77	starts	start	VERB
fcis-22003	49	78	from	from	ADP
fcis-22003	49	79	the	the	DET
fcis-22003	49	80	west	west	PROPN
fcis-22003	49	81	bank	bank	PROPN
fcis-22003	49	82	.	.	PUNCT
fcis-22003	50	1	through	through	ADP
fcis-22003	50	2	calculation	calculation	NOUN
fcis-22003	50	3	,	,	PUNCT
fcis-22003	50	4	at	at	ADP
fcis-22003	50	5	least	least	ADJ
fcis-22003	50	6	34	34	NUM
fcis-22003	50	7	measurements	measurement	NOUN
fcis-22003	50	8	are	be	AUX
fcis-22003	50	9	obtained	obtain	VERB
fcis-22003	50	10	,	,	PUNCT
fcis-22003	50	11	and	and	CCONJ
fcis-22003	50	12	the	the	DET
fcis-22003	50	13	measurement	measurement	NOUN
fcis-22003	50	14	line	line	NOUN
fcis-22003	50	15	can	can	AUX
fcis-22003	50	16	completely	completely	ADV
fcis-22003	50	17	cover	cover	VERB
fcis-22003	50	18	the	the	DET
fcis-22003	50	19	entire	entire	ADJ
fcis-22003	50	20	sea	sea	NOUN
fcis-22003	50	21	area	area	NOUN
fcis-22003	50	22	.	.	PUNCT
fcis-22003	51	1	at	at	ADP
fcis-22003	51	2	this	this	DET
fcis-22003	51	3	time	time	NOUN
fcis-22003	51	4	,	,	PUNCT
fcis-22003	51	5	the	the	DET
fcis-22003	51	6	total	total	ADJ
fcis-22003	51	7	length	length	NOUN
fcis-22003	51	8	of	of	ADP
fcis-22003	51	9	the	the	DET
fcis-22003	51	10	measurement	measurement	NOUN
fcis-22003	51	11	line	line	NOUN
fcis-22003	51	12	is	be	AUX
fcis-22003	51	13	125936	125936	NUM
fcis-22003	51	14	m.	m.	NOUN
fcis-22003	51	15	at	at	ADP
fcis-22003	51	16	this	this	DET
fcis-22003	51	17	time	time	NOUN
fcis-22003	51	18	,	,	PUNCT
fcis-22003	51	19	the	the	DET
fcis-22003	51	20	length	length	NOUN
fcis-22003	51	21	of	of	ADP
fcis-22003	51	22	one	one	NUM
fcis-22003	51	23	measurement	measurement	NOUN
fcis-22003	51	24	is	be	AUX
fcis-22003	51	25	the	the	DET
fcis-22003	51	26	smallest	small	ADJ
fcis-22003	51	27	,	,	PUNCT
fcis-22003	51	28	so	so	CCONJ
fcis-22003	51	29	if	if	SCONJ
fcis-22003	51	30	the	the	DET
fcis-22003	51	31	measurement	measurement	NOUN
fcis-22003	51	32	length	length	NOUN
fcis-22003	51	33	is	be	AUX
fcis-22003	51	34	less	less	ADJ
fcis-22003	51	35	than	than	ADP
fcis-22003	51	36	the	the	DET
fcis-22003	51	37	direction	direction	NOUN
fcis-22003	51	38	of	of	ADP
fcis-22003	51	39	the	the	DET
fcis-22003	51	40	measurement	measurement	NOUN
fcis-22003	51	41	line	line	NOUN
fcis-22003	51	42	is	be	AUX
fcis-22003	51	43	90	90	NUM
fcis-22003	51	44	°	°	NOUN
fcis-22003	51	45	,	,	PUNCT
fcis-22003	51	46	the	the	DET
fcis-22003	51	47	number	number	NOUN
fcis-22003	51	48	of	of	ADP
fcis-22003	51	49	measurements	measurement	NOUN
fcis-22003	51	50	should	should	AUX
fcis-22003	51	51	be	be	AUX
fcis-22003	51	52	less	less	ADJ
fcis-22003	51	53	than	than	ADP
fcis-22003	51	54	34	34	NUM
fcis-22003	51	55	times	time	NOUN
fcis-22003	51	56	,	,	PUNCT
fcis-22003	51	57	so	so	ADV
fcis-22003	51	58	the	the	DET
fcis-22003	51	59	objective	objective	ADJ
fcis-22003	51	60	function	function	NOUN
fcis-22003	51	61	is	be	AUX
fcis-22003	51	62	as	as	SCONJ
fcis-22003	51	63	follows	follow	VERB
fcis-22003	51	64	:	:	PUNCT
fcis-22003	51	65	𝐿(𝛽	𝐿(𝛽	NUM
fcis-22003	51	66	)	)	PUNCT
fcis-22003	51	67	=	=	SYM
fcis-22003	51	68	∑	∑	PUNCT
fcis-22003	51	69	𝑚1	𝑚1	NOUN
fcis-22003	51	70	𝑠𝑖𝑛𝛽𝑖	𝑠𝑖𝑛𝛽𝑖	ADV
fcis-22003	51	71	,	,	PUNCT
fcis-22003	51	72	𝑛	𝑛	PRON
fcis-22003	51	73	<	<	X
fcis-22003	51	74	34𝑛	34𝑛	NUM
fcis-22003	51	75	𝑖=1	𝑖=1	PUNCT
fcis-22003	51	76	(	(	PUNCT
fcis-22003	51	77	18	18	NUM
fcis-22003	51	78	)	)	PUNCT
fcis-22003	51	79	32	32	NUM
fcis-22003	51	80	according	accord	VERB
fcis-22003	51	81	to	to	ADP
fcis-22003	51	82	the	the	DET
fcis-22003	51	83	above	above	ADJ
fcis-22003	51	84	conditions	condition	NOUN
fcis-22003	51	85	,	,	PUNCT
fcis-22003	51	86	use	use	VERB
fcis-22003	51	87	the	the	DET
fcis-22003	51	88	exhaustive	exhaustive	ADJ
fcis-22003	51	89	method	method	NOUN
fcis-22003	51	90	for	for	ADP
fcis-22003	51	91	all	all	DET
fcis-22003	51	92	possible	possible	ADJ
fcis-22003	51	93	traversal	traversal	NOUN
fcis-22003	51	94	,	,	PUNCT
fcis-22003	51	95	and	and	CCONJ
fcis-22003	51	96	iteratively	iteratively	ADV
fcis-22003	51	97	find	find	VERB
fcis-22003	51	98	the	the	DET
fcis-22003	51	99	optimal	optimal	ADJ
fcis-22003	51	100	solution	solution	NOUN
fcis-22003	51	101	[	[	X
fcis-22003	51	102	6	6	NUM
fcis-22003	51	103	]	]	PUNCT
fcis-22003	51	104	.	.	PUNCT
fcis-22003	52	1	𝑖	𝑖	PUNCT
fcis-22003	52	2	represents	represent	VERB
fcis-22003	52	3	the	the	DET
fcis-22003	52	4	cycle	cycle	NOUN
fcis-22003	52	5	of	of	ADP
fcis-22003	52	6	angle	angle	NOUN
fcis-22003	52	7	𝛽	𝛽	PROPN
fcis-22003	52	8	,	,	PUNCT
fcis-22003	52	9	with	with	ADP
fcis-22003	52	10	the	the	DET
fcis-22003	52	11	angle	angle	NOUN
fcis-22003	52	12	value	value	NOUN
fcis-22003	52	13	range	range	NOUN
fcis-22003	52	14	of	of	ADP
fcis-22003	52	15	(	(	PUNCT
fcis-22003	52	16	90	90	NUM
fcis-22003	52	17	,	,	PUNCT
fcis-22003	52	18	153	153	NUM
fcis-22003	52	19	)	)	PUNCT
fcis-22003	52	20	for	for	ADP
fcis-22003	52	21	convenience	convenience	NOUN
fcis-22003	52	22	,	,	PUNCT
fcis-22003	52	23	set	set	VERB
fcis-22003	52	24	the	the	DET
fcis-22003	52	25	value	value	NOUN
fcis-22003	52	26	range	range	NOUN
fcis-22003	52	27	of	of	ADP
fcis-22003	52	28	𝑖	𝑖	X
fcis-22003	52	29	to	to	PART
fcis-22003	52	30	(	(	PUNCT
fcis-22003	52	31	1	1	NUM
fcis-22003	52	32	,	,	PUNCT
fcis-22003	52	33	64	64	NUM
fcis-22003	52	34	)	)	PUNCT
fcis-22003	52	35	.	.	PUNCT
fcis-22003	53	1	𝑗	𝑗	PROPN
fcis-22003	53	2	represents	represent	VERB
fcis-22003	53	3	the	the	DET
fcis-22003	53	4	𝑗	𝑗	ADJ
fcis-22003	53	5	−	−	NOUN
fcis-22003	53	6	𝑡ℎ	𝑡ℎ	NOUN
fcis-22003	53	7	line	line	NOUN
fcis-22003	53	8	of	of	ADP
fcis-22003	53	9	the	the	DET
fcis-22003	53	10	ship	ship	NOUN
fcis-22003	53	11	moving	move	VERB
fcis-22003	53	12	forward	forward	ADV
fcis-22003	53	13	when	when	SCONJ
fcis-22003	53	14	the	the	DET
fcis-22003	53	15	angle	angle	NOUN
fcis-22003	53	16	is	be	AUX
fcis-22003	53	17	𝑖.	𝑖.	ADJ
fcis-22003	53	18	𝛽𝑖,𝑗	𝛽𝑖,𝑗	PUNCT
fcis-22003	53	19	represents	represent	VERB
fcis-22003	53	20	the	the	DET
fcis-22003	53	21	line	line	NOUN
fcis-22003	53	22	angle	angle	NOUN
fcis-22003	53	23	of	of	ADP
fcis-22003	53	24	the	the	DET
fcis-22003	53	25	𝑗	𝑗	NOUN
fcis-22003	53	26	−	−	NOUN
fcis-22003	53	27	𝑡ℎ	𝑡ℎ	NOUN
fcis-22003	53	28	line	line	NOUN
fcis-22003	53	29	determined	determine	VERB
fcis-22003	53	30	from	from	ADP
fcis-22003	53	31	the	the	DET
fcis-22003	53	32	previous	previous	ADJ
fcis-22003	53	33	line	line	NOUN
fcis-22003	53	34	after	after	SCONJ
fcis-22003	53	35	the	the	DET
fcis-22003	53	36	angle	angle	NOUN
fcis-22003	53	37	represented	represent	VERB
fcis-22003	53	38	by	by	ADP
fcis-22003	53	39	the	the	DET
fcis-22003	53	40	first	first	ADJ
fcis-22003	53	41	ship	ship	NOUN
fcis-22003	53	42	value	value	NOUN
fcis-22003	53	43	is	be	AUX
fcis-22003	53	44	𝑖.	𝑖.	ADJ
fcis-22003	53	45	(	(	PUNCT
fcis-22003	53	46	1	1	X
fcis-22003	53	47	)	)	PUNCT
fcis-22003	53	48	when	when	SCONJ
fcis-22003	53	49	𝑗	𝑗	X
fcis-22003	53	50	=	=	SYM
fcis-22003	53	51	1	1	NUM
fcis-22003	53	52	,	,	PUNCT
fcis-22003	53	53	the	the	DET
fcis-22003	53	54	angle	angle	NOUN
fcis-22003	53	55	of	of	ADP
fcis-22003	53	56	pinch	pinch	NOUN
fcis-22003	53	57	𝛽𝑖,𝑗	𝛽𝑖,𝑗	PUNCT
fcis-22003	53	58	is	be	AUX
fcis-22003	53	59	91	91	NUM
fcis-22003	53	60	.	.	PUNCT
fcis-22003	54	1	in	in	ADP
fcis-22003	54	2	order	order	NOUN
fcis-22003	54	3	to	to	PART
fcis-22003	54	4	ensure	ensure	VERB
fcis-22003	54	5	that	that	SCONJ
fcis-22003	54	6	the	the	DET
fcis-22003	54	7	total	total	ADJ
fcis-22003	54	8	length	length	NOUN
fcis-22003	54	9	of	of	ADP
fcis-22003	54	10	the	the	DET
fcis-22003	54	11	measuring	measure	VERB
fcis-22003	54	12	line	line	NOUN
fcis-22003	54	13	is	be	AUX
fcis-22003	54	14	minimum	minimum	ADJ
fcis-22003	54	15	and	and	CCONJ
fcis-22003	54	16	the	the	DET
fcis-22003	54	17	number	number	NOUN
fcis-22003	54	18	of	of	ADP
fcis-22003	54	19	measuring	measure	VERB
fcis-22003	54	20	lines	line	NOUN
fcis-22003	54	21	is	be	AUX
fcis-22003	54	22	small	small	ADJ
fcis-22003	54	23	,	,	PUNCT
fcis-22003	54	24	the	the	DET
fcis-22003	54	25	distance	distance	NOUN
fcis-22003	54	26	between	between	ADP
fcis-22003	54	27	each	each	DET
fcis-22003	54	28	measuring	measure	VERB
fcis-22003	54	29	line	line	NOUN
fcis-22003	54	30	should	should	AUX
fcis-22003	54	31	be	be	AUX
fcis-22003	54	32	as	as	ADV
fcis-22003	54	33	far	far	ADV
fcis-22003	54	34	as	as	ADP
fcis-22003	54	35	possible	possible	ADJ
fcis-22003	54	36	.	.	PUNCT
fcis-22003	55	1	it	it	PRON
fcis-22003	55	2	is	be	AUX
fcis-22003	55	3	necessary	necessary	ADJ
fcis-22003	55	4	to	to	PART
fcis-22003	55	5	ensure	ensure	VERB
fcis-22003	55	6	that	that	SCONJ
fcis-22003	55	7	the	the	DET
fcis-22003	55	8	distance	distance	NOUN
fcis-22003	55	9	between	between	ADP
fcis-22003	55	10	the	the	DET
fcis-22003	55	11	north	north	NOUN
fcis-22003	55	12	end	end	NOUN
fcis-22003	55	13	of	of	ADP
fcis-22003	55	14	the	the	DET
fcis-22003	55	15	initial	initial	ADJ
fcis-22003	55	16	position	position	NOUN
fcis-22003	55	17	of	of	ADP
fcis-22003	55	18	the	the	DET
fcis-22003	55	19	ship	ship	NOUN
fcis-22003	55	20	and	and	CCONJ
fcis-22003	55	21	the	the	DET
fcis-22003	55	22	west	west	PROPN
fcis-22003	55	23	bank	bank	PROPN
fcis-22003	55	24	can	can	AUX
fcis-22003	55	25	be	be	AUX
fcis-22003	55	26	fully	fully	ADV
fcis-22003	55	27	covered	cover	VERB
fcis-22003	55	28	and	and	CCONJ
fcis-22003	55	29	the	the	DET
fcis-22003	55	30	distance	distance	NOUN
fcis-22003	55	31	from	from	ADP
fcis-22003	55	32	the	the	DET
fcis-22003	55	33	left	left	ADJ
fcis-22003	55	34	side	side	NOUN
fcis-22003	55	35	is	be	AUX
fcis-22003	55	36	farthest	farth	ADJ
fcis-22003	55	37	.	.	PUNCT
fcis-22003	56	1	based	base	VERB
fcis-22003	56	2	on	on	ADP
fcis-22003	56	3	the	the	DET
fcis-22003	56	4	mathematical	mathematical	ADJ
fcis-22003	56	5	model	model	NOUN
fcis-22003	56	6	of	of	ADP
fcis-22003	56	7	multi	multi	ADJ
fcis-22003	56	8	-	-	ADJ
fcis-22003	56	9	beam	beam	ADJ
fcis-22003	56	10	measuring	measure	VERB
fcis-22003	56	11	line	line	NOUN
fcis-22003	56	12	,	,	PUNCT
fcis-22003	56	13	the	the	DET
fcis-22003	56	14	farthest	farth	ADJ
fcis-22003	56	15	𝑑	𝑑	NOUN
fcis-22003	56	16	is	be	AUX
fcis-22003	56	17	solved	solve	VERB
fcis-22003	56	18	under	under	ADP
fcis-22003	56	19	this	this	DET
fcis-22003	56	20	fixed	fix	VERB
fcis-22003	56	21	angle	angle	NOUN
fcis-22003	56	22	.	.	PUNCT
fcis-22003	57	1	at	at	ADP
fcis-22003	57	2	the	the	DET
fcis-22003	57	3	same	same	ADJ
fcis-22003	57	4	time	time	NOUN
fcis-22003	57	5	,	,	PUNCT
fcis-22003	57	6	when	when	SCONJ
fcis-22003	57	7	the	the	DET
fcis-22003	57	8	ship	ship	NOUN
fcis-22003	57	9	is	be	AUX
fcis-22003	57	10	in	in	ADP
fcis-22003	57	11	the	the	DET
fcis-22003	57	12	initial	initial	ADJ
fcis-22003	57	13	position	position	NOUN
fcis-22003	57	14	,	,	PUNCT
fcis-22003	57	15	the	the	DET
fcis-22003	57	16	geometric	geometric	ADJ
fcis-22003	57	17	model	model	NOUN
fcis-22003	57	18	is	be	AUX
fcis-22003	57	19	established	establish	VERB
fcis-22003	57	20	,	,	PUNCT
fcis-22003	57	21	as	as	SCONJ
fcis-22003	57	22	shown	show	VERB
fcis-22003	57	23	in	in	ADP
fcis-22003	57	24	figure	figure	NOUN
fcis-22003	57	25	7	7	NUM
fcis-22003	57	26	,	,	PUNCT
fcis-22003	57	27	to	to	PART
fcis-22003	57	28	solve	solve	VERB
fcis-22003	57	29	the	the	DET
fcis-22003	57	30	total	total	ADJ
fcis-22003	57	31	coverage	coverage	NOUN
fcis-22003	57	32	length	length	NOUN
fcis-22003	57	33	𝑤𝑆𝑖,𝑗	𝑤𝑆𝑖,𝑗	NOUN
fcis-22003	57	34	and	and	CCONJ
fcis-22003	57	35	uncovered	uncover	VERB
fcis-22003	57	36	length	length	NOUN
fcis-22003	57	37	𝑥0	𝑥0	NOUN
fcis-22003	57	38	of	of	ADP
fcis-22003	57	39	the	the	DET
fcis-22003	57	40	south	south	PROPN
fcis-22003	57	41	bank	bank	PROPN
fcis-22003	57	42	of	of	ADP
fcis-22003	57	43	the	the	DET
fcis-22003	57	44	initial	initial	ADJ
fcis-22003	57	45	position	position	NOUN
fcis-22003	57	46	survey	survey	NOUN
fcis-22003	57	47	line	line	NOUN
fcis-22003	57	48	.	.	PUNCT
fcis-22003	58	1	suppose	suppose	VERB
fcis-22003	58	2	the	the	DET
fcis-22003	58	3	distance	distance	NOUN
fcis-22003	58	4	from	from	ADP
fcis-22003	58	5	the	the	DET
fcis-22003	58	6	bow	bow	NOUN
fcis-22003	58	7	to	to	ADP
fcis-22003	58	8	the	the	DET
fcis-22003	58	9	west	west	PROPN
fcis-22003	58	10	bank	bank	PROPN
fcis-22003	58	11	𝑥𝑖,𝑗	𝑥𝑖,𝑗	NOUN
fcis-22003	58	12	,	,	PUNCT
fcis-22003	58	13	which	which	PRON
fcis-22003	58	14	can	can	AUX
fcis-22003	58	15	be	be	AUX
fcis-22003	58	16	obtained	obtain	VERB
fcis-22003	58	17	from	from	ADP
fcis-22003	58	18	the	the	DET
fcis-22003	58	19	knowledge	knowledge	NOUN
fcis-22003	58	20	of	of	ADP
fcis-22003	58	21	geometric	geometric	ADJ
fcis-22003	58	22	relations	relation	NOUN
fcis-22003	58	23	and	and	CCONJ
fcis-22003	58	24	trigonometric	trigonometric	ADJ
fcis-22003	58	25	functions	function	NOUN
fcis-22003	58	26	:	:	PUNCT
fcis-22003	58	27	𝑥𝑖,𝑗	𝑥𝑖,𝑗	X
fcis-22003	59	1	=	=	SYM
fcis-22003	59	2	𝑑	𝑑	PROPN
fcis-22003	59	3	+	+	NUM
fcis-22003	59	4	𝑚1	𝑚1	X
fcis-22003	59	5	𝑡𝑎𝑛𝛽𝑖,𝑗	𝑡𝑎𝑛𝛽𝑖,𝑗	X
fcis-22003	59	6	(	(	PUNCT
fcis-22003	59	7	19	19	NUM
fcis-22003	59	8	)	)	PUNCT
fcis-22003	59	9	based	base	VERB
fcis-22003	59	10	on	on	ADP
fcis-22003	59	11	the	the	DET
fcis-22003	59	12	mathematical	mathematical	ADJ
fcis-22003	59	13	model	model	NOUN
fcis-22003	59	14	of	of	ADP
fcis-22003	59	15	strip	strip	PROPN
fcis-22003	59	16	coverage	coverage	NOUN
fcis-22003	59	17	width	width	NOUN
fcis-22003	59	18	,	,	PUNCT
fcis-22003	59	19	𝑊𝑆	𝑊𝑆	PROPN
fcis-22003	59	20	,	,	PUNCT
fcis-22003	59	21	𝑊𝑆𝐿	𝑊𝑆𝐿	PROPN
fcis-22003	59	22	and	and	CCONJ
fcis-22003	59	23	𝑊𝑆𝑅	𝑊𝑆𝑅	PROPN
fcis-22003	59	24	are	be	AUX
fcis-22003	59	25	obtained	obtain	VERB
fcis-22003	59	26	without	without	ADP
fcis-22003	59	27	coverage	coverage	NOUN
fcis-22003	59	28	:	:	PUNCT
fcis-22003	59	29	𝑥0	𝑥0	PROPN
fcis-22003	59	30	=	=	SYM
fcis-22003	59	31	𝑥1	𝑥1	PROPN
fcis-22003	59	32	−𝑊𝑆𝐿	−𝑊𝑆𝐿	PROPN
fcis-22003	59	33	(	(	PUNCT
fcis-22003	59	34	20	20	NUM
fcis-22003	59	35	)	)	PUNCT
fcis-22003	59	36	then	then	ADV
fcis-22003	59	37	,	,	PUNCT
fcis-22003	59	38	the	the	DET
fcis-22003	59	39	total	total	ADJ
fcis-22003	59	40	coverage	coverage	NOUN
fcis-22003	59	41	length	length	NOUN
fcis-22003	59	42	of	of	ADP
fcis-22003	59	43	the	the	DET
fcis-22003	59	44	south	south	PROPN
fcis-22003	59	45	bank	bank	PROPN
fcis-22003	59	46	is	be	AUX
fcis-22003	59	47	:	:	PUNCT
fcis-22003	59	48	𝑊𝑆	𝑊𝑆	PROPN
fcis-22003	59	49	=	=	SYM
fcis-22003	59	50	𝑥1	𝑥1	PROPN
fcis-22003	59	51	+	+	PROPN
fcis-22003	59	52	𝑊𝑆𝑅	𝑊𝑆𝑅	PROPN
fcis-22003	59	53	(	(	PUNCT
fcis-22003	59	54	21	21	NUM
fcis-22003	59	55	)	)	PUNCT
fcis-22003	59	56	(	(	PUNCT
fcis-22003	59	57	2	2	X
fcis-22003	59	58	)	)	PUNCT
fcis-22003	59	59	let	let	VERB
fcis-22003	59	60	𝑗	𝑗	NOUN
fcis-22003	59	61	=	=	X
fcis-22003	59	62	𝑗	𝑗	PROPN
fcis-22003	60	1	+	+	NOUN
fcis-22003	60	2	1	1	NUM
fcis-22003	60	3	.	.	PUNCT
fcis-22003	61	1	the	the	DET
fcis-22003	61	2	overlap	overlap	NOUN
fcis-22003	61	3	rate	rate	NOUN
fcis-22003	61	4	𝜂𝑖,𝑗	𝜂𝑖,𝑗	PUNCT
fcis-22003	61	5	between	between	ADP
fcis-22003	61	6	this	this	DET
fcis-22003	61	7	line	line	NOUN
fcis-22003	61	8	and	and	CCONJ
fcis-22003	61	9	the	the	DET
fcis-22003	61	10	previous	previous	ADJ
fcis-22003	61	11	line	line	NOUN
fcis-22003	61	12	𝑗	𝑗	INTJ
fcis-22003	61	13	−	−	PROPN
fcis-22003	61	14	1	1	NUM
fcis-22003	61	15	is	be	AUX
fcis-22003	61	16	calculated	calculate	VERB
fcis-22003	61	17	according	accord	VERB
fcis-22003	61	18	to	to	ADP
fcis-22003	61	19	the	the	DET
fcis-22003	61	20	mathematical	mathematical	ADJ
fcis-22003	61	21	model	model	NOUN
fcis-22003	61	22	of	of	ADP
fcis-22003	61	23	multi	multi	ADJ
fcis-22003	61	24	-	-	ADJ
fcis-22003	61	25	beam	beam	ADJ
fcis-22003	61	26	line	line	NOUN
fcis-22003	61	27	measurement	measurement	NOUN
fcis-22003	61	28	,	,	PUNCT
fcis-22003	61	29	so	so	SCONJ
fcis-22003	61	30	that	that	SCONJ
fcis-22003	61	31	it	it	PRON
fcis-22003	61	32	meets	meet	VERB
fcis-22003	61	33	the	the	DET
fcis-22003	61	34	extreme	extreme	ADJ
fcis-22003	61	35	value	value	NOUN
fcis-22003	61	36	𝜂𝑖,𝑗	𝜂𝑖,𝑗	PUNCT
fcis-22003	61	37	=	=	SYM
fcis-22003	61	38	0.1	0.1	NUM
fcis-22003	61	39	.	.	PUNCT
fcis-22003	62	1	subsequently	subsequently	ADV
fcis-22003	62	2	,	,	PUNCT
fcis-22003	62	3	the	the	DET
fcis-22003	62	4	unique	unique	ADJ
fcis-22003	62	5	line	line	NOUN
fcis-22003	62	6	angle	angle	NOUN
fcis-22003	62	7	𝛽𝑖,𝑗	𝛽𝑖,𝑗	PUNCT
fcis-22003	62	8	corresponding	correspond	VERB
fcis-22003	62	9	to	to	ADP
fcis-22003	62	10	the	the	DET
fcis-22003	62	11	ship	ship	NOUN
fcis-22003	62	12	under	under	ADP
fcis-22003	62	13	this	this	DET
fcis-22003	62	14	line	line	NOUN
fcis-22003	62	15	of	of	ADP
fcis-22003	62	16	survey	survey	NOUN
fcis-22003	62	17	can	can	AUX
fcis-22003	62	18	be	be	AUX
fcis-22003	62	19	calculated	calculate	VERB
fcis-22003	62	20	.	.	PUNCT
fcis-22003	63	1	the	the	DET
fcis-22003	63	2	geometric	geometric	ADJ
fcis-22003	63	3	model	model	NOUN
fcis-22003	63	4	of	of	ADP
fcis-22003	63	5	the	the	DET
fcis-22003	63	6	ship	ship	NOUN
fcis-22003	63	7	under	under	ADP
fcis-22003	63	8	the	the	DET
fcis-22003	63	9	survey	survey	NOUN
fcis-22003	63	10	line	line	NOUN
fcis-22003	63	11	was	be	AUX
fcis-22003	63	12	established	establish	VERB
fcis-22003	63	13	as	as	SCONJ
fcis-22003	63	14	shown	show	VERB
fcis-22003	63	15	in	in	ADP
fcis-22003	63	16	figure	figure	NOUN
fcis-22003	63	17	8	8	NUM
fcis-22003	63	18	,	,	PUNCT
fcis-22003	63	19	and	and	CCONJ
fcis-22003	63	20	the	the	DET
fcis-22003	63	21	total	total	ADJ
fcis-22003	63	22	coverage	coverage	NOUN
fcis-22003	63	23	length	length	NOUN
fcis-22003	63	24	of	of	ADP
fcis-22003	63	25	all	all	DET
fcis-22003	63	26	the	the	DET
fcis-22003	63	27	survey	survey	NOUN
fcis-22003	63	28	lines	line	NOUN
fcis-22003	63	29	measured	measure	VERB
fcis-22003	63	30	by	by	ADP
fcis-22003	63	31	the	the	DET
fcis-22003	63	32	ship	ship	NOUN
fcis-22003	63	33	on	on	ADP
fcis-22003	63	34	the	the	DET
fcis-22003	63	35	north	north	NOUN
fcis-22003	63	36	and	and	CCONJ
fcis-22003	63	37	south	south	ADJ
fcis-22003	63	38	banks	bank	NOUN
fcis-22003	63	39	was	be	AUX
fcis-22003	63	40	solved	solve	VERB
fcis-22003	63	41	respectively	respectively	ADV
fcis-22003	63	42	.	.	PUNCT
fcis-22003	64	1	figure	figure	VERB
fcis-22003	64	2	7	7	NUM
fcis-22003	64	3	.	.	PUNCT
fcis-22003	65	1	a	a	DET
fcis-22003	65	2	geometric	geometric	ADJ
fcis-22003	65	3	diagram	diagram	NOUN
fcis-22003	65	4	of	of	ADP
fcis-22003	65	5	the	the	DET
fcis-22003	65	6	ship	ship	NOUN
fcis-22003	65	7	's	's	PART
fcis-22003	65	8	initial	initial	ADJ
fcis-22003	65	9	position	position	NOUN
fcis-22003	65	10	figure	figure	NOUN
fcis-22003	65	11	8	8	NUM
fcis-22003	65	12	.	.	PUNCT
fcis-22003	66	1	article	article	NOUN
fcis-22003	66	2	𝑗	𝑗	PROPN
fcis-22003	66	3	geometric	geometric	ADJ
fcis-22003	66	4	diagram	diagram	NOUN
fcis-22003	66	5	under	under	ADP
fcis-22003	66	6	the	the	DET
fcis-22003	66	7	measurement	measurement	NOUN
fcis-22003	66	8	line	line	NOUN
fcis-22003	66	9	as	as	SCONJ
fcis-22003	66	10	shown	show	VERB
fcis-22003	66	11	in	in	ADP
fcis-22003	66	12	the	the	DET
fcis-22003	66	13	figure	figure	NOUN
fcis-22003	66	14	,	,	PUNCT
fcis-22003	66	15	the	the	DET
fcis-22003	66	16	distance	distance	NOUN
fcis-22003	66	17	from	from	ADP
fcis-22003	66	18	the	the	DET
fcis-22003	66	19	measuring	measure	VERB
fcis-22003	66	20	ship	ship	NOUN
fcis-22003	66	21	to	to	ADP
fcis-22003	66	22	the	the	DET
fcis-22003	66	23	west	west	PROPN
fcis-22003	66	24	bank	bank	PROPN
fcis-22003	66	25	is	be	AUX
fcis-22003	66	26	𝑋𝑊(𝑖,𝑗	𝑋𝑊(𝑖,𝑗	NOUN
fcis-22003	66	27	)	)	PUNCT
fcis-22003	66	28	,	,	PUNCT
fcis-22003	66	29	the	the	DET
fcis-22003	66	30	total	total	ADJ
fcis-22003	66	31	coverage	coverage	NOUN
fcis-22003	66	32	length	length	NOUN
fcis-22003	66	33	of	of	ADP
fcis-22003	66	34	the	the	DET
fcis-22003	66	35	previous	previous	ADJ
fcis-22003	66	36	measuring	measure	VERB
fcis-22003	66	37	strip	strip	NOUN
fcis-22003	66	38	on	on	ADP
fcis-22003	66	39	the	the	DET
fcis-22003	66	40	north	north	NOUN
fcis-22003	66	41	bank	bank	PROPN
fcis-22003	66	42	is	be	AUX
fcis-22003	66	43	𝑊𝑛(𝑖,𝑗−1	𝑊𝑛(𝑖,𝑗−1	NOUN
fcis-22003	66	44	)	)	PUNCT
fcis-22003	66	45	,	,	PUNCT
fcis-22003	66	46	the	the	DET
fcis-22003	66	47	coverage	coverage	NOUN
fcis-22003	66	48	length	length	NOUN
fcis-22003	66	49	of	of	ADP
fcis-22003	66	50	the	the	DET
fcis-22003	66	51	right	right	ADJ
fcis-22003	66	52	side	side	NOUN
fcis-22003	66	53	of	of	ADP
fcis-22003	66	54	the	the	DET
fcis-22003	66	55	previous	previous	ADJ
fcis-22003	66	56	measuring	measure	VERB
fcis-22003	66	57	strip	strip	NOUN
fcis-22003	66	58	is	be	AUX
fcis-22003	66	59	𝑋𝑅(𝑖,𝑗−1	𝑋𝑅(𝑖,𝑗−1	PROPN
fcis-22003	66	60	)	)	PUNCT
fcis-22003	66	61	,	,	PUNCT
fcis-22003	66	62	and	and	CCONJ
fcis-22003	66	63	the	the	DET
fcis-22003	66	64	distance	distance	NOUN
fcis-22003	66	65	between	between	ADP
fcis-22003	66	66	the	the	DET
fcis-22003	66	67	two	two	NUM
fcis-22003	66	68	measuring	measure	VERB
fcis-22003	66	69	ships	ship	NOUN
fcis-22003	66	70	is	be	AUX
fcis-22003	66	71	𝑑𝑖,𝑗	𝑑𝑖,𝑗	NOUN
fcis-22003	66	72	,	,	PUNCT
fcis-22003	66	73	then	then	ADV
fcis-22003	66	74	:	:	PUNCT
fcis-22003	66	75	𝑋𝑊(𝑖,𝑗	𝑋𝑊(𝑖,𝑗	NOUN
fcis-22003	66	76	)	)	PUNCT
fcis-22003	66	77	=	=	SYM
fcis-22003	66	78	𝑊𝑛(𝑖,𝑗−1	𝑊𝑛(𝑖,𝑗−1	NOUN
fcis-22003	66	79	)	)	PUNCT
fcis-22003	66	80	−𝑊𝑅(𝑖,𝑗−1	−𝑊𝑅(𝑖,𝑗−1	NOUN
fcis-22003	66	81	)	)	PUNCT
fcis-22003	67	1	+	+	NUM
fcis-22003	67	2	𝑑𝑖,𝑗	𝑑𝑖,𝑗	PUNCT
fcis-22003	67	3	(	(	PUNCT
fcis-22003	67	4	22	22	NUM
fcis-22003	67	5	)	)	PUNCT
fcis-22003	67	6	according	accord	VERB
fcis-22003	67	7	to	to	ADP
fcis-22003	67	8	the	the	DET
fcis-22003	67	9	mathematical	mathematical	ADJ
fcis-22003	67	10	model	model	NOUN
fcis-22003	67	11	of	of	ADP
fcis-22003	67	12	multi	multi	ADJ
fcis-22003	67	13	-	-	ADJ
fcis-22003	67	14	beam	beam	ADJ
fcis-22003	67	15	measurement	measurement	NOUN
fcis-22003	67	16	line	line	NOUN
fcis-22003	67	17	,	,	PUNCT
fcis-22003	67	18	the	the	DET
fcis-22003	67	19	depth	depth	NOUN
fcis-22003	67	20	of	of	ADP
fcis-22003	67	21	the	the	DET
fcis-22003	67	22	sea	sea	NOUN
fcis-22003	67	23	water	water	NOUN
fcis-22003	67	24	where	where	SCONJ
fcis-22003	67	25	the	the	DET
fcis-22003	67	26	measurement	measurement	NOUN
fcis-22003	67	27	ship	ship	NOUN
fcis-22003	67	28	is	be	AUX
fcis-22003	67	29	at	at	ADP
fcis-22003	67	30	this	this	DET
fcis-22003	67	31	time	time	NOUN
fcis-22003	67	32	and	and	CCONJ
fcis-22003	67	33	the	the	DET
fcis-22003	67	34	coverage	coverage	NOUN
fcis-22003	67	35	width	width	NOUN
fcis-22003	67	36	of	of	ADP
fcis-22003	67	37	the	the	DET
fcis-22003	67	38	measured	measured	ADJ
fcis-22003	67	39	strip	strip	NOUN
fcis-22003	67	40	here	here	ADV
fcis-22003	67	41	,	,	PUNCT
fcis-22003	67	42	as	as	ADV
fcis-22003	67	43	well	well	ADV
fcis-22003	67	44	as	as	ADP
fcis-22003	67	45	its	its	PRON
fcis-22003	67	46	left	left	ADJ
fcis-22003	67	47	and	and	CCONJ
fcis-22003	67	48	right	right	ADJ
fcis-22003	67	49	coverage	coverage	NOUN
fcis-22003	67	50	width	width	NOUN
fcis-22003	67	51	,	,	PUNCT
fcis-22003	67	52	𝑑𝑖,𝑗	𝑑𝑖,𝑗	PUNCT
fcis-22003	67	53	can	can	AUX
fcis-22003	67	54	be	be	AUX
fcis-22003	67	55	obtained	obtain	VERB
fcis-22003	67	56	.	.	PUNCT
fcis-22003	68	1	the	the	DET
fcis-22003	68	2	distance	distance	NOUN
fcis-22003	68	3	from	from	ADP
fcis-22003	68	4	the	the	DET
fcis-22003	68	5	measuring	measure	VERB
fcis-22003	68	6	ship	ship	NOUN
fcis-22003	68	7	on	on	ADP
fcis-22003	68	8	the	the	DET
fcis-22003	68	9	south	south	PROPN
fcis-22003	68	10	bank	bank	PROPN
fcis-22003	68	11	to	to	ADP
fcis-22003	68	12	the	the	DET
fcis-22003	68	13	west	west	PROPN
fcis-22003	68	14	bank	bank	PROPN
fcis-22003	68	15	can	can	AUX
fcis-22003	68	16	be	be	AUX
fcis-22003	68	17	obtained	obtain	VERB
fcis-22003	68	18	according	accord	VERB
fcis-22003	68	19	to	to	ADP
fcis-22003	68	20	the	the	DET
fcis-22003	68	21	geometric	geometric	ADJ
fcis-22003	68	22	relationship	relationship	NOUN
fcis-22003	68	23	:	:	PUNCT
fcis-22003	68	24	𝑋𝑆(𝑖,𝑗	𝑋𝑆(𝑖,𝑗	PROPN
fcis-22003	68	25	)	)	PUNCT
fcis-22003	69	1	=	=	SYM
fcis-22003	69	2	𝑊𝑆(𝑖,𝑗−1	𝑊𝑆(𝑖,𝑗−1	PROPN
fcis-22003	69	3	)	)	PUNCT
fcis-22003	69	4	−𝑊𝑆𝑅(𝑖,𝑗−1	−𝑊𝑆𝑅(𝑖,𝑗−1	PROPN
fcis-22003	69	5	)	)	PUNCT
fcis-22003	70	1	+	+	NUM
fcis-22003	70	2	𝑑𝑖,𝑗	𝑑𝑖,𝑗	PUNCT
fcis-22003	70	3	+	+	CCONJ
fcis-22003	70	4	𝑚1	𝑚1	X
fcis-22003	70	5	𝑡𝑎𝑛𝛽𝑖,𝑗	𝑡𝑎𝑛𝛽𝑖,𝑗	X
fcis-22003	70	6	(	(	PUNCT
fcis-22003	70	7	23	23	NUM
fcis-22003	70	8	)	)	PUNCT
fcis-22003	70	9	from	from	ADP
fcis-22003	70	10	this	this	PRON
fcis-22003	70	11	,	,	PUNCT
fcis-22003	70	12	we	we	PRON
fcis-22003	70	13	can	can	AUX
fcis-22003	70	14	solve	solve	VERB
fcis-22003	70	15	𝛽𝑖,𝑗	𝛽𝑖,𝑗	PUNCT
fcis-22003	70	16	.	.	PUNCT
fcis-22003	71	1	according	accord	VERB
fcis-22003	71	2	to	to	ADP
fcis-22003	71	3	this	this	PRON
fcis-22003	71	4	,	,	PUNCT
fcis-22003	71	5	the	the	DET
fcis-22003	71	6	covering	covering	NOUN
fcis-22003	71	7	length	length	NOUN
fcis-22003	71	8	of	of	ADP
fcis-22003	71	9	the	the	DET
fcis-22003	71	10	south	south	PROPN
fcis-22003	71	11	bank	bank	PROPN
fcis-22003	71	12	and	and	CCONJ
fcis-22003	71	13	the	the	DET
fcis-22003	71	14	north	north	PROPN
fcis-22003	71	15	bank	bank	NOUN
fcis-22003	71	16	can	can	AUX
fcis-22003	71	17	be	be	AUX
fcis-22003	71	18	solved	solve	VERB
fcis-22003	71	19	as	as	SCONJ
fcis-22003	71	20	follows	follow	VERB
fcis-22003	71	21	:	:	PUNCT
fcis-22003	71	22	𝜔𝑆	𝜔𝑆	NOUN
fcis-22003	71	23	=	=	NOUN
fcis-22003	71	24	𝑋𝑆(𝑖,𝑗	𝑋𝑆(𝑖,𝑗	NOUN
fcis-22003	71	25	)	)	PUNCT
fcis-22003	72	1	+	+	ADJ
fcis-22003	72	2	𝑊𝑆𝑅(𝑖,𝑗−1	𝑊𝑆𝑅(𝑖,𝑗−1	NOUN
fcis-22003	72	3	)	)	PUNCT
fcis-22003	72	4	(	(	PUNCT
fcis-22003	72	5	24	24	NUM
fcis-22003	72	6	)	)	PUNCT
fcis-22003	72	7	𝜔𝑁	𝜔𝑁	NOUN
fcis-22003	72	8	=	=	SYM
fcis-22003	72	9	𝑋𝑁(𝑖,𝑗	𝑋𝑁(𝑖,𝑗	NOUN
fcis-22003	72	10	)	)	PUNCT
fcis-22003	73	1	+	+	NUM
fcis-22003	73	2	𝑊𝑁𝑅(𝑖,𝑗−1	𝑊𝑁𝑅(𝑖,𝑗−1	NOUN
fcis-22003	73	3	)	)	PUNCT
fcis-22003	73	4	(	(	PUNCT
fcis-22003	73	5	25	25	NUM
fcis-22003	73	6	)	)	PUNCT
fcis-22003	73	7	determine	determine	VERB
fcis-22003	73	8	whether	whether	SCONJ
fcis-22003	73	9	the	the	DET
fcis-22003	73	10	ship	ship	NOUN
fcis-22003	73	11	has	have	AUX
fcis-22003	73	12	completed	complete	VERB
fcis-22003	73	13	the	the	DET
fcis-22003	73	14	survey	survey	NOUN
fcis-22003	73	15	of	of	ADP
fcis-22003	73	16	the	the	DET
fcis-22003	73	17	sea	sea	NOUN
fcis-22003	73	18	area	area	NOUN
fcis-22003	73	19	at	at	ADP
fcis-22003	73	20	this	this	DET
fcis-22003	73	21	time	time	NOUN
fcis-22003	73	22	.	.	PUNCT
fcis-22003	74	1	according	accord	VERB
fcis-22003	74	2	to	to	ADP
fcis-22003	74	3	the	the	DET
fcis-22003	74	4	obtained	obtain	VERB
fcis-22003	74	5	total	total	ADJ
fcis-22003	74	6	coverage	coverage	NOUN
fcis-22003	74	7	length	length	NOUN
fcis-22003	74	8	𝑋𝑆(𝑖,𝑗	𝑋𝑆(𝑖,𝑗	NOUN
fcis-22003	74	9	)	)	PUNCT
fcis-22003	74	10	and	and	CCONJ
fcis-22003	74	11	𝑋𝑁(𝑖,𝑗	𝑋𝑁(𝑖,𝑗	NOUN
fcis-22003	74	12	)	)	PUNCT
fcis-22003	74	13	of	of	ADP
fcis-22003	74	14	the	the	DET
fcis-22003	74	15	north	north	NOUN
fcis-22003	74	16	and	and	CCONJ
fcis-22003	74	17	south	south	ADJ
fcis-22003	74	18	coasts	coast	NOUN
fcis-22003	74	19	,	,	PUNCT
fcis-22003	74	20	if	if	SCONJ
fcis-22003	74	21	the	the	DET
fcis-22003	74	22	coverage	coverage	NOUN
fcis-22003	74	23	length	length	NOUN
fcis-22003	74	24	of	of	ADP
fcis-22003	74	25	the	the	DET
fcis-22003	74	26	sea	sea	NOUN
fcis-22003	74	27	area	area	NOUN
fcis-22003	74	28	greater	great	ADJ
fcis-22003	74	29	than	than	ADP
fcis-22003	74	30	that	that	PRON
fcis-22003	74	31	of	of	ADP
fcis-22003	74	32	the	the	DET
fcis-22003	74	33	north	north	NOUN
fcis-22003	74	34	and	and	CCONJ
fcis-22003	74	35	south	south	ADJ
fcis-22003	74	36	coasts	coast	NOUN
fcis-22003	74	37	is	be	AUX
fcis-22003	74	38	satisfied	satisfied	ADJ
fcis-22003	74	39	as	as	SCONJ
fcis-22003	74	40	follows	follow	VERB
fcis-22003	74	41	,	,	PUNCT
fcis-22003	74	42	then	then	ADV
fcis-22003	74	43	the	the	DET
fcis-22003	74	44	cycle	cycle	NOUN
fcis-22003	74	45	is	be	AUX
fcis-22003	74	46	withdrawn	withdraw	VERB
fcis-22003	74	47	and	and	CCONJ
fcis-22003	74	48	a	a	DET
fcis-22003	74	49	set	set	NOUN
fcis-22003	74	50	of	of	ADP
fcis-22003	74	51	survey	survey	NOUN
fcis-22003	74	52	line	line	NOUN
fcis-22003	74	53	scheme	scheme	NOUN
fcis-22003	74	54	covering	cover	VERB
fcis-22003	74	55	the	the	DET
fcis-22003	74	56	entire	entire	ADJ
fcis-22003	74	57	sea	sea	NOUN
fcis-22003	74	58	area	area	NOUN
fcis-22003	74	59	is	be	AUX
fcis-22003	74	60	obtained	obtain	VERB
fcis-22003	74	61	,	,	PUNCT
fcis-22003	74	62	and	and	CCONJ
fcis-22003	74	63	the	the	DET
fcis-22003	74	64	total	total	ADJ
fcis-22003	74	65	length	length	NOUN
fcis-22003	74	66	of	of	ADP
fcis-22003	74	67	survey	survey	NOUN
fcis-22003	74	68	line	line	NOUN
fcis-22003	74	69	𝐿𝑖,𝑗	𝐿𝑖,𝑗	PROPN
fcis-22003	74	70	at	at	ADP
fcis-22003	74	71	this	this	DET
fcis-22003	74	72	time	time	NOUN
fcis-22003	74	73	is	be	AUX
fcis-22003	74	74	recorded	record	VERB
fcis-22003	74	75	.	.	PUNCT
fcis-22003	75	1	𝑋𝑆(𝑖,𝑗	𝑋𝑆(𝑖,𝑗	PROPN
fcis-22003	75	2	)	)	PUNCT
fcis-22003	75	3	≥	≥	NOUN
fcis-22003	75	4	𝑚2	𝑚2	NOUN
fcis-22003	75	5	∥	∥	X
fcis-22003	75	6	𝑋𝑁(𝑖,𝑗	𝑋𝑁(𝑖,𝑗	NOUN
fcis-22003	75	7	)	)	PUNCT
fcis-22003	75	8	≥	≥	NOUN
fcis-22003	75	9	𝑚2	𝑚2	NOUN
fcis-22003	75	10	(	(	PUNCT
fcis-22003	75	11	26	26	NUM
fcis-22003	75	12	)	)	PUNCT
fcis-22003	75	13	(	(	PUNCT
fcis-22003	75	14	3	3	X
fcis-22003	75	15	)	)	PUNCT
fcis-22003	75	16	the	the	DET
fcis-22003	75	17	end	end	NOUN
fcis-22003	75	18	of	of	ADP
fcis-22003	75	19	the	the	DET
fcis-22003	75	20	cycle	cycle	NOUN
fcis-22003	75	21	𝑖	𝑖	NOUN
fcis-22003	75	22	=	=	NOUN
fcis-22003	75	23	1	1	X
fcis-22003	75	24	.	.	PUNCT
fcis-22003	75	25	let	let	VERB
fcis-22003	75	26	𝑖	𝑖	VERB
fcis-22003	75	27	=	=	PUNCT
fcis-22003	75	28	𝑖	𝑖	PROPN
fcis-22003	76	1	+	+	NOUN
fcis-22003	76	2	1	1	NUM
fcis-22003	76	3	,	,	PUNCT
fcis-22003	76	4	iterate	iterate	NOUN
fcis-22003	76	5	to	to	PART
fcis-22003	76	6	solve	solve	VERB
fcis-22003	76	7	the	the	DET
fcis-22003	76	8	next	next	ADJ
fcis-22003	76	9	set	set	NOUN
fcis-22003	76	10	of	of	ADP
fcis-22003	76	11	test	test	NOUN
fcis-22003	76	12	lines	line	NOUN
fcis-22003	76	13	that	that	PRON
fcis-22003	76	14	meet	meet	VERB
fcis-22003	76	15	the	the	DET
fcis-22003	76	16	conditions	condition	NOUN
fcis-22003	76	17	.	.	PUNCT
fcis-22003	77	1	(	(	PUNCT
fcis-22003	77	2	4	4	X
fcis-22003	77	3	)	)	PUNCT
fcis-22003	77	4	loop	loop	NOUN
fcis-22003	77	5	through	through	ADV
fcis-22003	77	6	until	until	ADP
fcis-22003	77	7	𝑖	𝑖	PROPN
fcis-22003	77	8	=	=	SYM
fcis-22003	77	9	64	64	NUM
fcis-22003	77	10	ends	end	VERB
fcis-22003	77	11	.	.	PUNCT
fcis-22003	78	1	according	accord	VERB
fcis-22003	78	2	to	to	ADP
fcis-22003	78	3	the	the	DET
fcis-22003	78	4	above	above	ADJ
fcis-22003	78	5	model	model	NOUN
fcis-22003	78	6	and	and	CCONJ
fcis-22003	78	7	code	code	NOUN
fcis-22003	78	8	calculation	calculation	NOUN
fcis-22003	78	9	,	,	PUNCT
fcis-22003	78	10	it	it	PRON
fcis-22003	78	11	is	be	AUX
fcis-22003	78	12	found	find	VERB
fcis-22003	78	13	that	that	SCONJ
fcis-22003	78	14	there	there	PRON
fcis-22003	78	15	is	be	VERB
fcis-22003	78	16	no	no	DET
fcis-22003	78	17	direction	direction	NOUN
fcis-22003	78	18	of	of	ADP
fcis-22003	78	19	the	the	DET
fcis-22003	78	20	survey	survey	NOUN
fcis-22003	78	21	line	line	NOUN
fcis-22003	78	22	except	except	SCONJ
fcis-22003	78	23	90	90	NUM
fcis-22003	78	24	°	°	NOUN
fcis-22003	78	25	,	,	PUNCT
fcis-22003	78	26	so	so	SCONJ
fcis-22003	78	27	that	that	SCONJ
fcis-22003	78	28	the	the	DET
fcis-22003	78	29	survey	survey	NOUN
fcis-22003	78	30	ship	ship	NOUN
fcis-22003	78	31	can	can	AUX
fcis-22003	78	32	complete	complete	VERB
fcis-22003	78	33	the	the	DET
fcis-22003	78	34	measurement	measurement	NOUN
fcis-22003	78	35	of	of	ADP
fcis-22003	78	36	the	the	DET
fcis-22003	78	37	entire	entire	ADJ
fcis-22003	78	38	sea	sea	NOUN
fcis-22003	78	39	area	area	NOUN
fcis-22003	78	40	when	when	SCONJ
fcis-22003	78	41	only	only	ADV
fcis-22003	78	42	passing	pass	VERB
fcis-22003	78	43	the	the	DET
fcis-22003	78	44	north	north	NOUN
fcis-22003	78	45	and	and	CCONJ
fcis-22003	78	46	south	south	ADJ
fcis-22003	78	47	banks	bank	NOUN
fcis-22003	78	48	.	.	PUNCT
fcis-22003	79	1	3.3	3.3	NUM
fcis-22003	79	2	.	.	PUNCT
fcis-22003	79	3	model	model	NOUN
fcis-22003	79	4	solution	solution	NOUN
fcis-22003	79	5	results	result	NOUN
fcis-22003	79	6	after	after	ADP
fcis-22003	79	7	model	model	NOUN
fcis-22003	79	8	establishment	establishment	NOUN
fcis-22003	79	9	,	,	PUNCT
fcis-22003	79	10	constraint	constraint	NOUN
fcis-22003	79	11	conditions	condition	NOUN
fcis-22003	79	12	were	be	AUX
fcis-22003	79	13	selected	select	VERB
fcis-22003	79	14	,	,	PUNCT
fcis-22003	79	15	objective	objective	ADJ
fcis-22003	79	16	function	function	NOUN
fcis-22003	79	17	was	be	AUX
fcis-22003	79	18	established	establish	VERB
fcis-22003	79	19	,	,	PUNCT
fcis-22003	79	20	and	and	CCONJ
fcis-22003	79	21	different	different	ADJ
fcis-22003	79	22	cases	case	NOUN
fcis-22003	79	23	were	be	AUX
fcis-22003	79	24	classified	classify	VERB
fcis-22003	79	25	and	and	CCONJ
fcis-22003	79	26	discussed	discuss	VERB
fcis-22003	79	27	,	,	PUNCT
fcis-22003	79	28	loop	loop	NOUN
fcis-22003	79	29	traversed	traverse	VERB
fcis-22003	79	30	,	,	PUNCT
fcis-22003	79	31	and	and	CCONJ
fcis-22003	79	32	the	the	DET
fcis-22003	79	33	33	33	NUM
fcis-22003	79	34	total	total	ADJ
fcis-22003	79	35	measurement	measurement	NOUN
fcis-22003	79	36	length	length	NOUN
fcis-22003	79	37	at	at	ADP
fcis-22003	79	38	this	this	DET
fcis-22003	79	39	time	time	NOUN
fcis-22003	79	40	was	be	AUX
fcis-22003	79	41	obtained	obtain	VERB
fcis-22003	79	42	through	through	ADP
fcis-22003	79	43	programming	programming	NOUN
fcis-22003	79	44	calculation	calculation	NOUN
fcis-22003	79	45	.	.	PUNCT
fcis-22003	80	1	it	it	PRON
fcis-22003	80	2	was	be	AUX
fcis-22003	80	3	found	find	VERB
fcis-22003	80	4	that	that	SCONJ
fcis-22003	80	5	the	the	DET
fcis-22003	80	6	minimum	minimum	ADJ
fcis-22003	80	7	value	value	NOUN
fcis-22003	80	8	of	of	ADP
fcis-22003	80	9	the	the	DET
fcis-22003	80	10	total	total	ADJ
fcis-22003	80	11	measurement	measurement	NOUN
fcis-22003	80	12	length	length	NOUN
fcis-22003	80	13	appeared	appear	VERB
fcis-22003	80	14	in	in	ADP
fcis-22003	80	15	the	the	DET
fcis-22003	80	16	range	range	NOUN
fcis-22003	80	17	of	of	ADP
fcis-22003	80	18	102	102	NUM
fcis-22003	80	19	°	°	NOUN
fcis-22003	80	20	-104	-104	PROPN
fcis-22003	80	21	°	°	PROPN
fcis-22003	80	22	.	.	PUNCT
fcis-22003	81	1	therefore	therefore	ADV
fcis-22003	81	2	,	,	PUNCT
fcis-22003	81	3	we	we	PRON
fcis-22003	81	4	adjusted	adjust	VERB
fcis-22003	81	5	the	the	DET
fcis-22003	81	6	accuracy	accuracy	NOUN
fcis-22003	81	7	of	of	ADP
fcis-22003	81	8	the	the	DET
fcis-22003	81	9	program	program	NOUN
fcis-22003	81	10	to	to	ADP
fcis-22003	81	11	0.01	0.01	NUM
fcis-22003	81	12	°	°	NOUN
fcis-22003	81	13	,	,	PUNCT
fcis-22003	81	14	and	and	CCONJ
fcis-22003	81	15	found	find	VERB
fcis-22003	81	16	that	that	SCONJ
fcis-22003	81	17	the	the	DET
fcis-22003	81	18	minimum	minimum	NOUN
fcis-22003	81	19	appeared	appear	VERB
fcis-22003	81	20	when	when	SCONJ
fcis-22003	81	21	the	the	DET
fcis-22003	81	22	initial	initial	ADJ
fcis-22003	81	23	𝛽𝑖,𝑗	𝛽𝑖,𝑗	PUNCT
fcis-22003	81	24	was	be	AUX
fcis-22003	81	25	103.88	103.88	NUM
fcis-22003	81	26	°	°	NOUN
fcis-22003	81	27	,	,	PUNCT
fcis-22003	81	28	and	and	CCONJ
fcis-22003	81	29	there	there	PRON
fcis-22003	81	30	were	be	VERB
fcis-22003	81	31	36	36	NUM
fcis-22003	81	32	measuring	measure	VERB
fcis-22003	81	33	lines	line	NOUN
fcis-22003	81	34	with	with	ADP
fcis-22003	81	35	a	a	DET
fcis-22003	81	36	total	total	ADJ
fcis-22003	81	37	length	length	NOUN
fcis-22003	81	38	of	of	ADP
fcis-22003	81	39	124414.50	124414.50	NUM
fcis-22003	81	40	meters	meter	NOUN
fcis-22003	81	41	.	.	PUNCT
fcis-22003	82	1	4	4	X
fcis-22003	82	2	.	.	X
fcis-22003	82	3	conclusion	conclusion	NOUN
fcis-22003	82	4	in	in	ADP
fcis-22003	82	5	this	this	DET
fcis-22003	82	6	paper	paper	NOUN
fcis-22003	82	7	,	,	PUNCT
fcis-22003	82	8	the	the	DET
fcis-22003	82	9	working	work	VERB
fcis-22003	82	10	principle	principle	NOUN
fcis-22003	82	11	and	and	CCONJ
fcis-22003	82	12	measuring	measure	VERB
fcis-22003	82	13	process	process	NOUN
fcis-22003	82	14	of	of	ADP
fcis-22003	82	15	multi	multi	ADJ
fcis-22003	82	16	-	-	ADJ
fcis-22003	82	17	beam	beam	ADJ
fcis-22003	82	18	line	line	NOUN
fcis-22003	82	19	are	be	AUX
fcis-22003	82	20	analyzed	analyze	VERB
fcis-22003	82	21	theoretically	theoretically	ADV
fcis-22003	82	22	,	,	PUNCT
fcis-22003	82	23	and	and	CCONJ
fcis-22003	82	24	the	the	DET
fcis-22003	82	25	mathematical	mathematical	ADJ
fcis-22003	82	26	model	model	NOUN
fcis-22003	82	27	of	of	ADP
fcis-22003	82	28	multi	multi	ADJ
fcis-22003	82	29	-	-	ADJ
fcis-22003	82	30	beam	beam	ADJ
fcis-22003	82	31	line	line	NOUN
fcis-22003	82	32	is	be	AUX
fcis-22003	82	33	constructed	construct	VERB
fcis-22003	82	34	.	.	PUNCT
fcis-22003	83	1	it	it	PRON
fcis-22003	83	2	is	be	AUX
fcis-22003	83	3	found	find	VERB
fcis-22003	83	4	that	that	SCONJ
fcis-22003	83	5	the	the	DET
fcis-22003	83	6	coverage	coverage	NOUN
fcis-22003	83	7	width	width	NOUN
fcis-22003	83	8	of	of	ADP
fcis-22003	83	9	the	the	DET
fcis-22003	83	10	line	line	NOUN
fcis-22003	83	11	is	be	AUX
fcis-22003	83	12	affected	affect	VERB
fcis-22003	83	13	by	by	ADP
fcis-22003	83	14	the	the	DET
fcis-22003	83	15	depth	depth	NOUN
fcis-22003	83	16	of	of	ADP
fcis-22003	83	17	the	the	DET
fcis-22003	83	18	sea	sea	NOUN
fcis-22003	83	19	water	water	NOUN
fcis-22003	83	20	,	,	PUNCT
fcis-22003	83	21	the	the	DET
fcis-22003	83	22	slope	slope	NOUN
fcis-22003	83	23	of	of	ADP
fcis-22003	83	24	the	the	DET
fcis-22003	83	25	seabed	seabed	NOUN
fcis-22003	83	26	and	and	CCONJ
fcis-22003	83	27	the	the	DET
fcis-22003	83	28	angle	angle	NOUN
fcis-22003	83	29	of	of	ADP
fcis-22003	83	30	the	the	DET
fcis-22003	83	31	line	line	NOUN
fcis-22003	83	32	when	when	SCONJ
fcis-22003	83	33	the	the	DET
fcis-22003	83	34	opening	opening	NOUN
fcis-22003	83	35	angle	angle	NOUN
fcis-22003	83	36	of	of	ADP
fcis-22003	83	37	the	the	DET
fcis-22003	83	38	transducer	transducer	NOUN
fcis-22003	83	39	is	be	AUX
fcis-22003	83	40	fixed	fix	VERB
fcis-22003	83	41	.	.	PUNCT
fcis-22003	84	1	based	base	VERB
fcis-22003	84	2	on	on	ADP
fcis-22003	84	3	the	the	DET
fcis-22003	84	4	law	law	NOUN
fcis-22003	84	5	,	,	PUNCT
fcis-22003	84	6	the	the	DET
fcis-22003	84	7	optimal	optimal	ADJ
fcis-22003	84	8	layout	layout	NOUN
fcis-22003	84	9	of	of	ADP
fcis-22003	84	10	the	the	DET
fcis-22003	84	11	line	line	NOUN
fcis-22003	84	12	is	be	AUX
fcis-22003	84	13	designed	design	VERB
fcis-22003	84	14	.	.	PUNCT
fcis-22003	85	1	after	after	ADP
fcis-22003	85	2	model	model	NOUN
fcis-22003	85	3	establishment	establishment	NOUN
fcis-22003	85	4	and	and	CCONJ
fcis-22003	85	5	solution	solution	NOUN
fcis-22003	85	6	,	,	PUNCT
fcis-22003	85	7	it	it	PRON
fcis-22003	85	8	can	can	AUX
fcis-22003	85	9	be	be	AUX
fcis-22003	85	10	seen	see	VERB
fcis-22003	85	11	that	that	SCONJ
fcis-22003	85	12	when	when	SCONJ
fcis-22003	85	13	the	the	DET
fcis-22003	85	14	angle	angle	NOUN
fcis-22003	85	15	of	of	ADP
fcis-22003	85	16	the	the	DET
fcis-22003	85	17	first	first	ADJ
fcis-22003	85	18	measuring	measure	VERB
fcis-22003	85	19	line	line	NOUN
fcis-22003	85	20	is	be	AUX
fcis-22003	85	21	,	,	PUNCT
fcis-22003	85	22	the	the	DET
fcis-22003	85	23	optimal	optimal	ADJ
fcis-22003	85	24	situation	situation	NOUN
fcis-22003	85	25	is	be	AUX
fcis-22003	85	26	obtained	obtain	VERB
fcis-22003	85	27	,	,	PUNCT
fcis-22003	85	28	the	the	DET
fcis-22003	85	29	number	number	NOUN
fcis-22003	85	30	of	of	ADP
fcis-22003	85	31	measuring	measure	VERB
fcis-22003	85	32	lines	line	NOUN
fcis-22003	85	33	is	be	AUX
fcis-22003	85	34	𝛽𝑖	𝛽𝑖	VERB
fcis-22003	85	35	,	,	PUNCT
fcis-22003	85	36	1	1	NUM
fcis-22003	85	37	=	=	SYM
fcis-22003	85	38	103.88	103.88	NUM
fcis-22003	85	39	。	。	PUNCT
fcis-22003	85	40	,	,	PUNCT
fcis-22003	85	41	and	and	CCONJ
fcis-22003	85	42	the	the	DET
fcis-22003	85	43	total	total	ADJ
fcis-22003	85	44	length	length	NOUN
fcis-22003	85	45	is	be	AUX
fcis-22003	85	46	124414.5	124414.5	NUM
fcis-22003	85	47	m.	m.	NOUN
fcis-22003	85	48	at	at	ADP
fcis-22003	85	49	this	this	DET
fcis-22003	85	50	time	time	NOUN
fcis-22003	85	51	,	,	PUNCT
fcis-22003	85	52	the	the	DET
fcis-22003	85	53	measurement	measurement	NOUN
fcis-22003	85	54	lines	line	NOUN
fcis-22003	85	55	are	be	AUX
fcis-22003	85	56	more	more	ADV
fcis-22003	85	57	densely	densely	ADV
fcis-22003	85	58	distributed	distribute	VERB
fcis-22003	85	59	in	in	ADP
fcis-22003	85	60	the	the	DET
fcis-22003	85	61	shallow	shallow	ADJ
fcis-22003	85	62	part	part	NOUN
fcis-22003	85	63	of	of	ADP
fcis-22003	85	64	the	the	DET
fcis-22003	85	65	sea	sea	NOUN
fcis-22003	85	66	bottom	bottom	NOUN
fcis-22003	85	67	,	,	PUNCT
fcis-22003	85	68	and	and	CCONJ
fcis-22003	85	69	less	less	ADV
fcis-22003	85	70	distributed	distribute	VERB
fcis-22003	85	71	in	in	ADP
fcis-22003	85	72	the	the	DET
fcis-22003	85	73	deep	deep	ADJ
fcis-22003	85	74	part	part	NOUN
fcis-22003	85	75	of	of	ADP
fcis-22003	85	76	the	the	DET
fcis-22003	85	77	sea	sea	NOUN
fcis-22003	85	78	water	water	NOUN
fcis-22003	85	79	,	,	PUNCT
fcis-22003	85	80	and	and	CCONJ
fcis-22003	85	81	the	the	DET
fcis-22003	85	82	angle	angle	NOUN
fcis-22003	85	83	of	of	ADP
fcis-22003	85	84	the	the	DET
fcis-22003	85	85	measurement	measurement	NOUN
fcis-22003	85	86	lines	line	NOUN
fcis-22003	85	87	𝛽	𝛽	NOUN
fcis-22003	85	88	gradually	gradually	ADV
fcis-22003	85	89	becomes	become	VERB
fcis-22003	85	90	larger	large	ADJ
fcis-22003	85	91	as	as	SCONJ
fcis-22003	85	92	the	the	DET
fcis-22003	85	93	sea	sea	NOUN
fcis-22003	85	94	water	water	NOUN
fcis-22003	85	95	goes	go	VERB
fcis-22003	85	96	from	from	ADP
fcis-22003	85	97	shallow	shallow	ADJ
fcis-22003	85	98	to	to	AUX
fcis-22003	85	99	deep	deep	ADJ
fcis-22003	85	100	.	.	PUNCT
fcis-22003	86	1	in	in	ADP
fcis-22003	86	2	the	the	DET
fcis-22003	86	3	same	same	ADJ
fcis-22003	86	4	way	way	NOUN
fcis-22003	86	5	,	,	PUNCT
fcis-22003	86	6	the	the	DET
fcis-22003	86	7	model	model	NOUN
fcis-22003	86	8	can	can	AUX
fcis-22003	86	9	be	be	AUX
fcis-22003	86	10	extended	extend	VERB
fcis-22003	86	11	to	to	ADP
fcis-22003	86	12	ship	ship	NOUN
fcis-22003	86	13	surveying	surveying	NOUN
fcis-22003	86	14	,	,	PUNCT
fcis-22003	86	15	defense	defense	NOUN
fcis-22003	86	16	and	and	CCONJ
fcis-22003	86	17	other	other	ADJ
fcis-22003	86	18	fields	field	NOUN
fcis-22003	86	19	.	.	PUNCT
fcis-22003	87	1	references	reference	NOUN
fcis-22003	87	2	[	[	X
fcis-22003	87	3	1	1	NUM
fcis-22003	87	4	]	]	X
fcis-22003	87	5	futian	futian	PROPN
fcis-22003	87	6	xie	xie	PROPN
fcis-22003	87	7	,	,	PUNCT
fcis-22003	87	8	zehua	zehua	PROPN
fcis-22003	87	9	li	li	PROPN
fcis-22003	87	10	,	,	PUNCT
fcis-22003	87	11	chunlei	chunlei	VERB
fcis-22003	87	12	wang	wang	PROPN
fcis-22003	87	13	,	,	PUNCT
fcis-22003	87	14	jianing	jiane	VERB
fcis-22003	87	15	hou	hou	PROPN
fcis-22003	87	16	.	.	PUNCT
fcis-22003	88	1	research	research	NOUN
fcis-22003	88	2	on	on	ADP
fcis-22003	88	3	multi	multi	ADJ
fcis-22003	88	4	-	-	ADJ
fcis-22003	88	5	beam	beam	ADJ
fcis-22003	88	6	line	line	NOUN
fcis-22003	88	7	measurement	measurement	NOUN
fcis-22003	88	8	based	base	VERB
fcis-22003	88	9	on	on	ADP
fcis-22003	88	10	differential	differential	ADJ
fcis-22003	88	11	algorithm	algorithm	NOUN
fcis-22003	89	1	[	[	X
fcis-22003	89	2	a	a	X
fcis-22003	89	3	]	]	X
fcis-22003	89	4	.	.	PUNCT
fcis-22003	90	1	2023	2023	NUM
fcis-22003	90	2	ieee	ieee	PROPN
fcis-22003	90	3	international	international	ADJ
fcis-22003	90	4	conference	conference	NOUN
fcis-22003	90	5	on	on	ADP
fcis-22003	90	6	electrical	electrical	ADJ
fcis-22003	90	7	,	,	PUNCT
fcis-22003	90	8	automation	automation	NOUN
fcis-22003	90	9	and	and	CCONJ
fcis-22003	90	10	computer	computer	NOUN
fcis-22003	90	11	engineering	engineering	NOUN
fcis-22003	90	12	(	(	PUNCT
fcis-22003	90	13	iceace	iceace	NOUN
fcis-22003	90	14	)	)	PUNCT
fcis-22003	91	1	[	[	X
fcis-22003	91	2	c	c	X
fcis-22003	91	3	]	]	X
fcis-22003	91	4	,	,	PUNCT
fcis-22003	91	5	2023	2023	NUM
fcis-22003	91	6	.	.	PUNCT
fcis-22003	92	1	[	[	X
fcis-22003	92	2	2	2	NUM
fcis-22003	92	3	]	]	X
fcis-22003	92	4	xiaochen	xiaochen	PROPN
fcis-22003	92	5	yan	yan	PROPN
fcis-22003	92	6	,	,	PUNCT
fcis-22003	92	7	lingfeng	lingfeng	PROPN
fcis-22003	92	8	lv	lv	PROPN
fcis-22003	92	9	,	,	PUNCT
fcis-22003	92	10	rui	rui	PROPN
fcis-22003	92	11	xi	xi	PROPN
fcis-22003	92	12	.	.	PROPN
fcis-22003	92	13	line	line	PROPN
fcis-22003	92	14	measurement	measurement	NOUN
fcis-22003	92	15	of	of	ADP
fcis-22003	92	16	multi	multi	ADJ
fcis-22003	92	17	-	-	ADJ
fcis-22003	92	18	beam	beam	ADJ
fcis-22003	92	19	sounding	sound	VERB
fcis-22003	92	20	system	system	NOUN
fcis-22003	92	21	based	base	VERB
fcis-22003	92	22	on	on	ADP
fcis-22003	92	23	annealing	anneal	VERB
fcis-22003	92	24	algorithm	algorithm	NOUN
fcis-22003	92	25	[	[	X
fcis-22003	92	26	a	a	X
fcis-22003	92	27	]	]	X
fcis-22003	92	28	.	.	PUNCT
fcis-22003	93	1	2023	2023	NUM
fcis-22003	93	2	ieee	ieee	PROPN
fcis-22003	93	3	international	international	ADJ
fcis-22003	93	4	conference	conference	NOUN
fcis-22003	93	5	on	on	ADP
fcis-22003	93	6	electrical	electrical	ADJ
fcis-22003	93	7	,	,	PUNCT
fcis-22003	93	8	automation	automation	NOUN
fcis-22003	93	9	and	and	CCONJ
fcis-22003	93	10	computer	computer	NOUN
fcis-22003	93	11	engineering	engineering	NOUN
fcis-22003	93	12	(	(	PUNCT
fcis-22003	93	13	iceace	iceace	NOUN
fcis-22003	93	14	)	)	PUNCT
fcis-22003	94	1	[	[	X
fcis-22003	94	2	c	c	X
fcis-22003	94	3	]	]	X
fcis-22003	94	4	,	,	PUNCT
fcis-22003	94	5	2023	2023	NUM
fcis-22003	94	6	.	.	PUNCT
fcis-22003	95	1	[	[	X
fcis-22003	95	2	3	3	NUM
fcis-22003	95	3	]	]	X
fcis-22003	95	4	hsi	hsi	PROPN
fcis-22003	95	5	-	-	PUNCT
fcis-22003	95	6	tseng	tseng	PROPN
fcis-22003	95	7	chou	chou	PROPN
fcis-22003	95	8	,	,	PUNCT
fcis-22003	95	9	danai	danai	VERB
fcis-22003	95	10	torrungrueng	torrungrueng	PROPN
fcis-22003	95	11	.	.	PUNCT
fcis-22003	96	1	development	development	NOUN
fcis-22003	96	2	of	of	ADP
fcis-22003	96	3	2	2	NUM
fcis-22003	96	4	-	-	PUNCT
fcis-22003	96	5	d	d	NOUN
fcis-22003	96	6	generalized	generalized	ADJ
fcis-22003	96	7	tri	tri	ADJ
fcis-22003	96	8	-	-	ADJ
fcis-22003	96	9	focal	focal	ADJ
fcis-22003	96	10	rotman	rotman	PROPN
fcis-22003	96	11	lens	lens	NOUN
fcis-22003	96	12	beamforming	beamforme	VERB
fcis-22003	96	13	network	network	NOUN
fcis-22003	96	14	to	to	PART
fcis-22003	96	15	excite	excite	VERB
fcis-22003	96	16	conformal	conformal	ADJ
fcis-22003	96	17	phased	phase	VERB
fcis-22003	96	18	arrays	array	NOUN
fcis-22003	96	19	of	of	ADP
fcis-22003	96	20	antennas	antenna	NOUN
fcis-22003	96	21	for	for	ADP
fcis-22003	96	22	general	general	ADJ
fcis-22003	96	23	near	near	ADV
fcis-22003	96	24	/	/	SYM
fcis-22003	96	25	far	far	ADJ
fcis-22003	96	26	-	-	PUNCT
fcis-22003	96	27	field	field	NOUN
fcis-22003	96	28	multi	multi	ADJ
fcis-22003	96	29	-	-	ADJ
fcis-22003	96	30	beam	beam	ADJ
fcis-22003	96	31	radiations[j	radiations[j	PROPN
fcis-22003	96	32	]	]	PUNCT
fcis-22003	96	33	.	.	PUNCT
fcis-22003	97	1	ieee	ieee	PROPN
fcis-22003	97	2	access,2021	access,2021	PROPN
fcis-22003	97	3	,	,	PUNCT
fcis-22003	97	4	vol.9	vol.9	PROPN
fcis-22003	97	5	:	:	PUNCT
fcis-22003	97	6	49176	49176	NUM
fcis-22003	97	7	-	-	SYM
fcis-22003	97	8	49188	49188	NUM
fcis-22003	97	9	.	.	PUNCT
fcis-22003	98	1	[	[	X
fcis-22003	98	2	4	4	NUM
fcis-22003	98	3	]	]	X
fcis-22003	98	4	zakir	zakir	PROPN
fcis-22003	98	5	ullah	ullah	PROPN
fcis-22003	98	6	,	,	PUNCT
fcis-22003	98	7	xiaopeng	xiaopeng	PROPN
fcis-22003	98	8	chen	chen	PROPN
fcis-22003	98	9	;	;	PUNCT
fcis-22003	98	10	siyuan	siyuan	PROPN
fcis-22003	98	11	gou	gou	PROPN
fcis-22003	98	12	,	,	PUNCT
fcis-22003	98	13	yang	yang	PROPN
fcis-22003	98	14	xu	xu	PROPN
fcis-22003	98	15	,	,	PUNCT
fcis-22003	98	16	muhammad	muhammad	PROPN
fcis-22003	98	17	salam	salam	PROPN
fcis-22003	98	18	.	.	PUNCT
fcis-22003	98	19	fnug	fnug	PROPN
fcis-22003	98	20	:	:	PUNCT
fcis-22003	98	21	imperfect	imperfect	ADJ
fcis-22003	98	22	mazes	maze	NOUN
fcis-22003	98	23	traversal	traversal	NOUN
fcis-22003	98	24	based	base	VERB
fcis-22003	98	25	on	on	ADP
fcis-22003	98	26	detecting	detect	VERB
fcis-22003	98	27	and	and	CCONJ
fcis-22003	98	28	following	follow	VERB
fcis-22003	98	29	the	the	DET
fcis-22003	98	30	nearest	near	ADV
fcis-22003	98	31	-	-	PUNCT
fcis-22003	98	32	to	to	ADP
fcis-22003	98	33	-	-	PUNCT
fcis-22003	98	34	final	final	ADJ
fcis-22003	98	35	-	-	PUNCT
fcis-22003	98	36	goal	goal	NOUN
fcis-22003	98	37	and	and	CCONJ
fcis-22003	98	38	unvisited	unvisited	ADJ
fcis-22003	98	39	gaps[j	gaps[j	PROPN
fcis-22003	98	40	]	]	PUNCT
fcis-22003	98	41	.	.	PUNCT
fcis-22003	99	1	ieee	ieee	NOUN
fcis-22003	99	2	robotics	robotic	NOUN
fcis-22003	99	3	and	and	CCONJ
fcis-22003	99	4	automation	automation	NOUN
fcis-22003	99	5	letters	letter	NOUN
fcis-22003	99	6	,	,	PUNCT
fcis-22003	99	7	2022	2022	NUM
fcis-22003	99	8	,	,	PUNCT
fcis-22003	99	9	vol.7(2	vol.7(2	NOUN
fcis-22003	99	10	):	):	PUNCT
fcis-22003	99	11	5175	5175	NUM
fcis-22003	99	12	-	-	SYM
fcis-22003	99	13	5182	5182	NUM
fcis-22003	99	14	.	.	PUNCT
fcis-22003	100	1	[	[	X
fcis-22003	100	2	5	5	NUM
fcis-22003	100	3	]	]	X
fcis-22003	100	4	roman	roman	ADJ
fcis-22003	100	5	barth	barth	NOUN
fcis-22003	100	6	,	,	PUNCT
fcis-22003	100	7	biswajit	biswajit	PROPN
fcis-22003	100	8	pradhan	pradhan	PROPN
fcis-22003	100	9	,	,	PUNCT
fcis-22003	100	10	eugene	eugene	PROPN
fcis-22003	100	11	kim	kim	PROPN
fcis-22003	100	12	,	,	PUNCT
fcis-22003	100	13	iain	iain	PROPN
fcis-22003	100	14	f	f	PROPN
fcis-22003	100	15	davidson	davidson	PROPN
fcis-22003	100	16	,	,	PUNCT
fcis-22003	100	17	jaco	jaco	PROPN
fcis-22003	100	18	van	van	PROPN
fcis-22003	100	19	der	der	PROPN
fcis-22003	100	20	torre	torre	PROPN
fcis-22003	100	21	,	,	PUNCT
fcis-22003	100	22	jan	jan	PROPN
fcis-22003	100	23	-	-	PUNCT
fcis-22003	100	24	michael	michael	PROPN
fcis-22003	100	25	peters	peters	PROPN
fcis-22003	100	26	,	,	PUNCT
fcis-22003	100	27	cees	cees	PROPN
fcis-22003	100	28	dekker	dekker	PROPN
fcis-22003	100	29	.	.	PUNCT
fcis-22003	101	1	testing	test	VERB
fcis-22003	101	2	pseudotopological	pseudotopological	ADJ
fcis-22003	101	3	and	and	CCONJ
fcis-22003	101	4	nontopological	nontopological	ADJ
fcis-22003	101	5	models	model	NOUN
fcis-22003	101	6	for	for	ADP
fcis-22003	101	7	smc	smc	PROPN
fcis-22003	101	8	-	-	PUNCT
fcis-22003	101	9	driven	drive	VERB
fcis-22003	101	10	dna	dna	PROPN
fcis-22003	101	11	loop	loop	NOUN
fcis-22003	101	12	extrusion	extrusion	NOUN
fcis-22003	101	13	against	against	ADP
fcis-22003	101	14	roadblock	roadblock	NOUN
fcis-22003	101	15	-	-	PUNCT
fcis-22003	101	16	traversal	traversal	NOUN
fcis-22003	101	17	experiments	experiment	NOUN
fcis-22003	102	1	[	[	X
fcis-22003	102	2	j	j	X
fcis-22003	102	3	]	]	X
fcis-22003	102	4	.	.	PUNCT
fcis-22003	103	1	scientific	scientific	ADJ
fcis-22003	103	2	reports,2023	reports,2023	PROPN
fcis-22003	103	3	,	,	PUNCT
fcis-22003	103	4	vol.13(1	vol.13(1	PROPN
fcis-22003	103	5	):	):	PUNCT
fcis-22003	103	6	8100	8100	NUM
fcis-22003	103	7	.	.	PUNCT
fcis-22003	104	1	[	[	X
fcis-22003	104	2	6	6	NUM
fcis-22003	104	3	]	]	PUNCT
fcis-22003	104	4	canesche	canesche	PROPN
fcis-22003	104	5	m	m	PROPN
fcis-22003	104	6	,	,	PUNCT
fcis-22003	104	7	menezes	menezes	PROPN
fcis-22003	104	8	m	m	PROPN
fcis-22003	104	9	,	,	PUNCT
fcis-22003	104	10	carvalho	carvalho	PROPN
fcis-22003	104	11	w	w	PROPN
fcis-22003	104	12	,	,	PUNCT
fcis-22003	105	1	et	et	PROPN
fcis-22003	105	2	al	al	PROPN
fcis-22003	105	3	.	.	PROPN
fcis-22003	105	4	traversal	traversal	PROPN
fcis-22003	105	5	:	:	PUNCT
fcis-22003	105	6	a	a	DET
fcis-22003	105	7	fast	fast	ADJ
fcis-22003	105	8	and	and	CCONJ
fcis-22003	105	9	adaptive	adaptive	ADJ
fcis-22003	105	10	graph	graph	NOUN
fcis-22003	105	11	-	-	PUNCT
fcis-22003	105	12	based	base	VERB
fcis-22003	105	13	placement	placement	NOUN
fcis-22003	105	14	and	and	CCONJ
fcis-22003	105	15	routing	routing	NOUN
fcis-22003	105	16	for	for	ADP
fcis-22003	105	17	cgras[j	cgras[j	PROPN
fcis-22003	105	18	]	]	PUNCT
fcis-22003	105	19	.	.	PUNCT
fcis-22003	106	1	ieee	ieee	NOUN
fcis-22003	106	2	transactions	transaction	NOUN
fcis-22003	106	3	on	on	ADP
fcis-22003	106	4	computer	computer	NOUN
fcis-22003	106	5	-	-	PUNCT
fcis-22003	106	6	aided	aid	VERB
fcis-22003	106	7	design	design	NOUN
fcis-22003	106	8	of	of	ADP
fcis-22003	106	9	integrated	integrated	ADJ
fcis-22003	106	10	circuits	circuit	NOUN
fcis-22003	106	11	and	and	CCONJ
fcis-22003	106	12	systems	system	NOUN
fcis-22003	106	13	,	,	PUNCT
fcis-22003	106	14	2020	2020	NUM
fcis-22003	106	15	,	,	PUNCT
fcis-22003	106	16	vol.40(8	vol.40(8	PROPN
fcis-22003	106	17	):	):	PUNCT
fcis-22003	106	18	1600	1600	NUM
fcis-22003	106	19	-	-	SYM
fcis-22003	106	20	1612	1612	NUM
fcis-22003	106	21	.	.	PUNCT