id	sid	tid	token	lemma	pos
ap-1245	1	1	ap-4-10.dvi	ap-4-10.dvi	PROPN
ap-1245	1	2	acta	acta	PROPN
ap-1245	1	3	polytechnica	polytechnica	PROPN
ap-1245	1	4	vol	vol	NOUN
ap-1245	1	5	.	.	PROPN
ap-1245	2	1	50	50	NUM
ap-1245	2	2	no	no	NOUN
ap-1245	2	3	.	.	PUNCT
ap-1245	3	1	4/2010	4/2010	NUM
ap-1245	3	2	parameter	parameter	NOUN
ap-1245	3	3	-	-	PUNCT
ap-1245	3	4	invariant	invariant	ADJ
ap-1245	3	5	hierarchical	hierarchical	ADJ
ap-1245	3	6	exclusive	exclusive	ADJ
ap-1245	3	7	alphabet	alphabet	NOUN
ap-1245	3	8	design	design	NOUN
ap-1245	3	9	for	for	ADP
ap-1245	3	10	2	2	NUM
ap-1245	3	11	-	-	PUNCT
ap-1245	3	12	wrc	wrc	NOUN
ap-1245	3	13	with	with	ADP
ap-1245	3	14	hdf	hdf	PROPN
ap-1245	3	15	strategy	strategy	PROPN
ap-1245	3	16	t.	t.	PROPN
ap-1245	3	17	uřičář	uřičář	PROPN
ap-1245	3	18	abstract	abstract	ADV
ap-1245	3	19	hierarchical	hierarchical	ADJ
ap-1245	3	20	exclusive	exclusive	ADJ
ap-1245	3	21	code	code	NOUN
ap-1245	3	22	(	(	PUNCT
ap-1245	3	23	hxc	hxc	PROPN
ap-1245	3	24	)	)	PUNCT
ap-1245	3	25	for	for	ADP
ap-1245	3	26	the	the	DET
ap-1245	3	27	hierarchical	hierarchical	ADJ
ap-1245	3	28	decode	decode	NOUN
ap-1245	3	29	and	and	CCONJ
ap-1245	3	30	forward	forward	ADV
ap-1245	3	31	(	(	PUNCT
ap-1245	3	32	hdf	hdf	PROPN
ap-1245	3	33	)	)	PUNCT
ap-1245	3	34	strategy	strategy	NOUN
ap-1245	3	35	in	in	ADP
ap-1245	3	36	the	the	DET
ap-1245	3	37	wireless	wireless	ADJ
ap-1245	3	38	2	2	NUM
ap-1245	3	39	-	-	PUNCT
ap-1245	3	40	way	way	NOUN
ap-1245	3	41	relay	relay	NOUN
ap-1245	3	42	channel	channel	NOUN
ap-1245	3	43	(	(	PUNCT
ap-1245	3	44	2	2	NUM
ap-1245	3	45	-	-	PUNCT
ap-1245	3	46	wrc	wrc	NOUN
ap-1245	3	47	)	)	PUNCT
ap-1245	3	48	has	have	VERB
ap-1245	3	49	the	the	DET
ap-1245	3	50	achievable	achievable	ADJ
ap-1245	3	51	rate	rate	NOUN
ap-1245	3	52	region	region	NOUN
ap-1245	3	53	extended	extend	VERB
ap-1245	3	54	beyond	beyond	ADP
ap-1245	3	55	the	the	DET
ap-1245	3	56	classical	classical	ADJ
ap-1245	3	57	mac	mac	NOUN
ap-1245	3	58	region	region	NOUN
ap-1245	3	59	.	.	PUNCT
ap-1245	4	1	although	although	SCONJ
ap-1245	4	2	direct	direct	ADJ
ap-1245	4	3	hxc	hxc	PROPN
ap-1245	4	4	design	design	NOUN
ap-1245	4	5	is	be	AUX
ap-1245	4	6	in	in	ADP
ap-1245	4	7	general	general	ADJ
ap-1245	4	8	highly	highly	ADV
ap-1245	4	9	complex	complex	ADJ
ap-1245	4	10	,	,	PUNCT
ap-1245	4	11	a	a	DET
ap-1245	4	12	layered	layered	ADJ
ap-1245	4	13	approach	approach	NOUN
ap-1245	4	14	to	to	ADP
ap-1245	4	15	hxc	hxc	PROPN
ap-1245	4	16	design	design	NOUN
ap-1245	4	17	is	be	AUX
ap-1245	4	18	a	a	DET
ap-1245	4	19	feasible	feasible	ADJ
ap-1245	4	20	solution	solution	NOUN
ap-1245	4	21	.	.	PUNCT
ap-1245	5	1	while	while	SCONJ
ap-1245	5	2	the	the	DET
ap-1245	5	3	outer	outer	ADJ
ap-1245	5	4	layer	layer	NOUN
ap-1245	5	5	code	code	NOUN
ap-1245	5	6	of	of	ADP
ap-1245	5	7	the	the	DET
ap-1245	5	8	layered	layer	VERB
ap-1245	5	9	hxc	hxc	PROPN
ap-1245	5	10	can	can	AUX
ap-1245	5	11	be	be	AUX
ap-1245	5	12	any	any	DET
ap-1245	5	13	state	state	NOUN
ap-1245	5	14	-	-	PUNCT
ap-1245	5	15	of	of	ADP
ap-1245	5	16	-	-	PUNCT
ap-1245	5	17	the	the	DET
ap-1245	5	18	-	-	PUNCT
ap-1245	5	19	art	art	NOUN
ap-1245	5	20	capacity	capacity	NOUN
ap-1245	5	21	approaching	approach	VERB
ap-1245	5	22	code	code	NOUN
ap-1245	5	23	,	,	PUNCT
ap-1245	5	24	the	the	DET
ap-1245	5	25	inner	inner	ADJ
ap-1245	5	26	layer	layer	NOUN
ap-1245	5	27	must	must	AUX
ap-1245	5	28	be	be	AUX
ap-1245	5	29	designed	design	VERB
ap-1245	5	30	in	in	ADP
ap-1245	5	31	such	such	DET
ap-1245	5	32	a	a	DET
ap-1245	5	33	way	way	NOUN
ap-1245	5	34	that	that	PRON
ap-1245	5	35	the	the	DET
ap-1245	5	36	exclusive	exclusive	ADJ
ap-1245	5	37	property	property	NOUN
ap-1245	5	38	of	of	ADP
ap-1245	5	39	hierarchical	hierarchical	ADJ
ap-1245	5	40	symbols	symbol	NOUN
ap-1245	5	41	(	(	PUNCT
ap-1245	5	42	received	receive	VERB
ap-1245	5	43	at	at	ADP
ap-1245	5	44	the	the	DET
ap-1245	5	45	relay	relay	NOUN
ap-1245	5	46	)	)	PUNCT
ap-1245	5	47	will	will	AUX
ap-1245	5	48	be	be	AUX
ap-1245	5	49	provided	provide	VERB
ap-1245	5	50	.	.	PUNCT
ap-1245	6	1	the	the	DET
ap-1245	6	2	simplest	simple	ADJ
ap-1245	6	3	case	case	NOUN
ap-1245	6	4	of	of	ADP
ap-1245	6	5	the	the	DET
ap-1245	6	6	inner	inner	ADJ
ap-1245	6	7	hxc	hxc	PROPN
ap-1245	6	8	layer	layer	NOUN
ap-1245	6	9	is	be	AUX
ap-1245	6	10	a	a	DET
ap-1245	6	11	simple	simple	ADJ
ap-1245	6	12	signal	signal	NOUN
ap-1245	6	13	space	space	NOUN
ap-1245	6	14	channel	channel	NOUN
ap-1245	6	15	symbol	symbol	PROPN
ap-1245	6	16	memoryless	memoryless	PROPN
ap-1245	6	17	mapper	mapper	PROPN
ap-1245	6	18	called	call	VERB
ap-1245	6	19	hierarchical	hierarchical	ADJ
ap-1245	6	20	exclusive	exclusive	ADJ
ap-1245	6	21	alphabet	alphabet	NOUN
ap-1245	6	22	(	(	PUNCT
ap-1245	6	23	hxa	hxa	PROPN
ap-1245	6	24	)	)	PUNCT
ap-1245	6	25	.	.	PUNCT
ap-1245	7	1	the	the	DET
ap-1245	7	2	proper	proper	ADJ
ap-1245	7	3	design	design	NOUN
ap-1245	7	4	of	of	ADP
ap-1245	7	5	hxa	hxa	NOUN
ap-1245	7	6	is	be	AUX
ap-1245	7	7	important	important	ADJ
ap-1245	7	8	,	,	PUNCT
ap-1245	7	9	especially	especially	ADV
ap-1245	7	10	in	in	ADP
ap-1245	7	11	the	the	DET
ap-1245	7	12	case	case	NOUN
ap-1245	7	13	of	of	ADP
ap-1245	7	14	parametric	parametric	ADJ
ap-1245	7	15	channels	channel	NOUN
ap-1245	7	16	,	,	PUNCT
ap-1245	7	17	where	where	SCONJ
ap-1245	7	18	channel	channel	NOUN
ap-1245	7	19	parametrization	parametrization	NOUN
ap-1245	7	20	(	(	PUNCT
ap-1245	7	21	e.g.	e.g.	ADV
ap-1245	7	22	phase	phase	NOUN
ap-1245	7	23	rotation	rotation	NOUN
ap-1245	7	24	)	)	PUNCT
ap-1245	7	25	can	can	AUX
ap-1245	7	26	violate	violate	VERB
ap-1245	7	27	the	the	DET
ap-1245	7	28	exclusive	exclusive	ADJ
ap-1245	7	29	property	property	NOUN
ap-1245	7	30	of	of	ADP
ap-1245	7	31	hierarchical	hierarchical	ADJ
ap-1245	7	32	symbols	symbol	NOUN
ap-1245	7	33	(	(	PUNCT
ap-1245	7	34	as	as	SCONJ
ap-1245	7	35	seen	see	VERB
ap-1245	7	36	by	by	ADP
ap-1245	7	37	the	the	DET
ap-1245	7	38	relay	relay	NOUN
ap-1245	7	39	)	)	PUNCT
ap-1245	7	40	,	,	PUNCT
ap-1245	7	41	resulting	result	VERB
ap-1245	7	42	in	in	ADP
ap-1245	7	43	significant	significant	ADJ
ap-1245	7	44	capacity	capacity	NOUN
ap-1245	7	45	degradation	degradation	NOUN
ap-1245	7	46	.	.	PUNCT
ap-1245	8	1	in	in	ADP
ap-1245	8	2	this	this	DET
ap-1245	8	3	paper	paper	NOUN
ap-1245	8	4	we	we	PRON
ap-1245	8	5	introduce	introduce	VERB
ap-1245	8	6	an	an	DET
ap-1245	8	7	example	example	NOUN
ap-1245	8	8	of	of	ADP
ap-1245	8	9	a	a	DET
ap-1245	8	10	geometrical	geometrical	ADJ
ap-1245	8	11	approach	approach	NOUN
ap-1245	8	12	to	to	ADP
ap-1245	8	13	parameter	parameter	NOUN
ap-1245	8	14	-	-	PUNCT
ap-1245	8	15	invariant	invariant	ADJ
ap-1245	8	16	hxa	hxa	ADJ
ap-1245	8	17	design	design	NOUN
ap-1245	8	18	,	,	PUNCT
ap-1245	8	19	and	and	CCONJ
ap-1245	8	20	we	we	PRON
ap-1245	8	21	show	show	VERB
ap-1245	8	22	that	that	SCONJ
ap-1245	8	23	the	the	DET
ap-1245	8	24	corresponding	corresponding	ADJ
ap-1245	8	25	hierarchical	hierarchical	ADJ
ap-1245	8	26	mac	mac	PROPN
ap-1245	8	27	capacity	capacity	NOUN
ap-1245	8	28	region	region	NOUN
ap-1245	8	29	extends	extend	VERB
ap-1245	8	30	beyond	beyond	ADP
ap-1245	8	31	the	the	DET
ap-1245	8	32	classical	classical	ADJ
ap-1245	8	33	mac	mac	NOUN
ap-1245	8	34	region	region	NOUN
ap-1245	8	35	,	,	PUNCT
ap-1245	8	36	irrespective	irrespective	ADV
ap-1245	8	37	of	of	ADP
ap-1245	8	38	the	the	DET
ap-1245	8	39	channel	channel	NOUN
ap-1245	8	40	parametrization	parametrization	NOUN
ap-1245	8	41	.	.	PUNCT
ap-1245	9	1	keywords	keyword	NOUN
ap-1245	9	2	:	:	PUNCT
ap-1245	9	3	physical	physical	ADJ
ap-1245	9	4	layer	layer	NOUN
ap-1245	9	5	network	network	NOUN
ap-1245	9	6	coding	coding	NOUN
ap-1245	9	7	,	,	PUNCT
ap-1245	9	8	wireless	wireless	ADJ
ap-1245	9	9	2	2	NUM
ap-1245	9	10	-	-	PUNCT
ap-1245	9	11	way	way	NOUN
ap-1245	9	12	relay	relay	NOUN
ap-1245	9	13	channel	channel	NOUN
ap-1245	9	14	,	,	PUNCT
ap-1245	9	15	hdf	hdf	PROPN
ap-1245	9	16	strategy	strategy	NOUN
ap-1245	9	17	,	,	PUNCT
ap-1245	9	18	hxa	hxa	PROPN
ap-1245	9	19	design	design	NOUN
ap-1245	9	20	.	.	PUNCT
ap-1245	10	1	1	1	NUM
ap-1245	10	2	introduction	introduction	NOUN
ap-1245	10	3	1.1	1.1	NUM
ap-1245	10	4	background	background	NOUN
ap-1245	10	5	and	and	CCONJ
ap-1245	10	6	related	related	ADJ
ap-1245	10	7	work	work	NOUN
ap-1245	10	8	communication	communication	NOUN
ap-1245	10	9	scenarios	scenario	NOUN
ap-1245	10	10	based	base	VERB
ap-1245	10	11	on	on	ADP
ap-1245	10	12	principles	principle	NOUN
ap-1245	10	13	similar	similar	ADJ
ap-1245	10	14	to	to	ADP
ap-1245	10	15	network	network	NOUN
ap-1245	10	16	coding	code	VERB
ap-1245	10	17	(	(	PUNCT
ap-1245	10	18	nc	nc	PROPN
ap-1245	10	19	)	)	PUNCT
ap-1245	11	1	[	[	X
ap-1245	11	2	1	1	NUM
ap-1245	11	3	]	]	PUNCT
ap-1245	11	4	are	be	AUX
ap-1245	11	5	expected	expect	VERB
ap-1245	11	6	to	to	PART
ap-1245	11	7	have	have	VERB
ap-1245	11	8	great	great	ADJ
ap-1245	11	9	potential	potential	NOUN
ap-1245	11	10	for	for	ADP
ap-1245	11	11	wireless	wireless	ADJ
ap-1245	11	12	communication	communication	NOUN
ap-1245	11	13	networks	network	NOUN
ap-1245	11	14	.	.	PUNCT
ap-1245	12	1	although	although	SCONJ
ap-1245	12	2	pure	pure	ADJ
ap-1245	12	3	nc	nc	PROPN
ap-1245	12	4	operates	operate	VERB
ap-1245	12	5	with	with	ADP
ap-1245	12	6	a	a	DET
ap-1245	12	7	discrete	discrete	ADJ
ap-1245	12	8	(	(	PUNCT
ap-1245	12	9	typically	typically	ADV
ap-1245	12	10	binary	binary	ADJ
ap-1245	12	11	)	)	PUNCT
ap-1245	12	12	alphabet	alphabet	NOUN
ap-1245	12	13	over	over	ADP
ap-1245	12	14	lossless	lossless	PROPN
ap-1245	12	15	discrete	discrete	ADJ
ap-1245	12	16	channels	channel	NOUN
ap-1245	12	17	,	,	PUNCT
ap-1245	12	18	its	its	PRON
ap-1245	12	19	principles	principle	NOUN
ap-1245	12	20	can	can	AUX
ap-1245	12	21	be	be	AUX
ap-1245	12	22	extended	extend	VERB
ap-1245	12	23	into	into	ADP
ap-1245	12	24	the	the	DET
ap-1245	12	25	wireless	wireless	ADJ
ap-1245	12	26	domain	domain	NOUN
ap-1245	12	27	.	.	PUNCT
ap-1245	13	1	such	such	DET
ap-1245	13	2	an	an	DET
ap-1245	13	3	extension	extension	NOUN
ap-1245	13	4	is	be	AUX
ap-1245	13	5	however	however	ADV
ap-1245	13	6	non	non	ADJ
ap-1245	13	7	-	-	ADJ
ap-1245	13	8	trivial	trivial	ADJ
ap-1245	13	9	,	,	PUNCT
ap-1245	13	10	because	because	SCONJ
ap-1245	13	11	signal	signal	ADJ
ap-1245	13	12	space	space	NOUN
ap-1245	13	13	link	link	NOUN
ap-1245	13	14	models	model	NOUN
ap-1245	13	15	(	(	PUNCT
ap-1245	13	16	e.g.	e.g.	ADV
ap-1245	13	17	the	the	DET
ap-1245	13	18	mac	mac	PROPN
ap-1245	13	19	phase	phase	NOUN
ap-1245	13	20	in	in	ADP
ap-1245	13	21	relay	relay	NOUN
ap-1245	13	22	communications	communication	NOUN
ap-1245	13	23	)	)	PUNCT
ap-1245	13	24	lack	lack	VERB
ap-1245	13	25	the	the	DET
ap-1245	13	26	simple	simple	ADJ
ap-1245	13	27	finite	finite	ADJ
ap-1245	13	28	field	field	NOUN
ap-1245	13	29	properties	property	NOUN
ap-1245	13	30	found	find	VERB
ap-1245	13	31	and	and	CCONJ
ap-1245	13	32	used	use	VERB
ap-1245	13	33	in	in	ADP
ap-1245	13	34	pure	pure	ADJ
ap-1245	13	35	discrete	discrete	PROPN
ap-1245	13	36	nc	nc	PROPN
ap-1245	13	37	.	.	PROPN
ap-1245	13	38	nc	nc	PROPN
ap-1245	13	39	-	-	PUNCT
ap-1245	13	40	based	base	VERB
ap-1245	13	41	approaches	approach	NOUN
ap-1245	13	42	in	in	ADP
ap-1245	13	43	the	the	DET
ap-1245	13	44	signal	signal	ADJ
ap-1245	13	45	space	space	NOUN
ap-1245	13	46	domain	domain	NOUN
ap-1245	13	47	are	be	AUX
ap-1245	13	48	called	call	VERB
ap-1245	13	49	physical	physical	ADJ
ap-1245	13	50	network	network	NOUN
ap-1245	13	51	coding	code	VERB
ap-1245	13	52	(	(	PUNCT
ap-1245	13	53	pnc	pnc	PROPN
ap-1245	13	54	)	)	PUNCT
ap-1245	13	55	or	or	CCONJ
ap-1245	13	56	network	network	NOUN
ap-1245	13	57	coded	code	VERB
ap-1245	13	58	modulation	modulation	NOUN
ap-1245	13	59	(	(	PUNCT
ap-1245	13	60	ncm	ncm	PROPN
ap-1245	13	61	)	)	PUNCT
ap-1245	13	62	.	.	PUNCT
ap-1245	14	1	the	the	DET
ap-1245	14	2	major	major	ADJ
ap-1245	14	3	benefit	benefit	NOUN
ap-1245	14	4	of	of	ADP
ap-1245	14	5	ncm	ncm	PROPN
ap-1245	14	6	is	be	AUX
ap-1245	14	7	the	the	DET
ap-1245	14	8	possibility	possibility	NOUN
ap-1245	14	9	to	to	PART
ap-1245	14	10	increase	increase	VERB
ap-1245	14	11	the	the	DET
ap-1245	14	12	throughput	throughput	NOUN
ap-1245	14	13	in	in	ADP
ap-1245	14	14	the	the	DET
ap-1245	14	15	mac	mac	NOUN
ap-1245	14	16	phase	phase	NOUN
ap-1245	14	17	of	of	ADP
ap-1245	14	18	bidirectional	bidirectional	ADJ
ap-1245	14	19	communication	communication	NOUN
ap-1245	14	20	,	,	PUNCT
ap-1245	14	21	which	which	PRON
ap-1245	14	22	is	be	AUX
ap-1245	14	23	believed	believe	VERB
ap-1245	14	24	to	to	PART
ap-1245	14	25	be	be	AUX
ap-1245	14	26	the	the	DET
ap-1245	14	27	bottleneck	bottleneck	NOUN
ap-1245	14	28	in	in	ADP
ap-1245	14	29	the	the	DET
ap-1245	14	30	overall	overall	ADJ
ap-1245	14	31	system	system	NOUN
ap-1245	14	32	.	.	PUNCT
ap-1245	15	1	the	the	DET
ap-1245	15	2	strategy	strategy	NOUN
ap-1245	15	3	where	where	SCONJ
ap-1245	15	4	the	the	DET
ap-1245	15	5	relay	relay	NOUN
ap-1245	15	6	decodes	decode	VERB
ap-1245	15	7	only	only	ADV
ap-1245	15	8	hierarchical	hierarchical	ADJ
ap-1245	15	9	symbols	symbol	NOUN
ap-1245	15	10	(	(	PUNCT
ap-1245	15	11	codewords	codeword	NOUN
ap-1245	15	12	)	)	PUNCT
ap-1245	15	13	,	,	PUNCT
ap-1245	15	14	which	which	PRON
ap-1245	15	15	jointly	jointly	ADV
ap-1245	15	16	represent	represent	VERB
ap-1245	15	17	information	information	NOUN
ap-1245	15	18	received	receive	VERB
ap-1245	15	19	from	from	ADP
ap-1245	15	20	both	both	DET
ap-1245	15	21	sources	source	NOUN
ap-1245	15	22	,	,	PUNCT
ap-1245	15	23	is	be	AUX
ap-1245	15	24	called	call	VERB
ap-1245	15	25	the	the	DET
ap-1245	15	26	hierarchical	hierarchical	ADJ
ap-1245	15	27	decode	decode	NOUN
ap-1245	15	28	and	and	CCONJ
ap-1245	15	29	forward	forward	ADV
ap-1245	15	30	(	(	PUNCT
ap-1245	15	31	hdf	hdf	PROPN
ap-1245	15	32	)	)	PUNCT
ap-1245	15	33	strategy	strategy	NOUN
ap-1245	16	1	[	[	X
ap-1245	16	2	2	2	NUM
ap-1245	16	3	,	,	PUNCT
ap-1245	16	4	3	3	NUM
ap-1245	16	5	]	]	PUNCT
ap-1245	16	6	.	.	PUNCT
ap-1245	17	1	the	the	DET
ap-1245	17	2	increased	increase	VERB
ap-1245	17	3	mac	mac	NOUN
ap-1245	17	4	phase	phase	NOUN
ap-1245	17	5	throughput	throughput	NOUN
ap-1245	17	6	of	of	ADP
ap-1245	17	7	the	the	DET
ap-1245	17	8	hdf	hdf	PROPN
ap-1245	17	9	strategy	strategy	NOUN
ap-1245	17	10	provides	provide	VERB
ap-1245	17	11	a	a	DET
ap-1245	17	12	performance	performance	NOUN
ap-1245	17	13	improvement	improvement	NOUN
ap-1245	17	14	over	over	ADP
ap-1245	17	15	standard	standard	ADJ
ap-1245	17	16	techniques	technique	NOUN
ap-1245	17	17	based	base	VERB
ap-1245	17	18	on	on	ADP
ap-1245	17	19	the	the	DET
ap-1245	17	20	amplify	amplify	NOUN
ap-1245	17	21	&	&	CCONJ
ap-1245	17	22	forward	forward	ADV
ap-1245	17	23	or	or	CCONJ
ap-1245	17	24	joint	joint	ADJ
ap-1245	17	25	decode	decode	PROPN
ap-1245	17	26	&	&	CCONJ
ap-1245	17	27	forward	forward	ADV
ap-1245	17	28	paradigms	paradigms	PROPN
ap-1245	17	29	.	.	PUNCT
ap-1245	18	1	the	the	DET
ap-1245	18	2	authors	author	NOUN
ap-1245	18	3	of	of	ADP
ap-1245	18	4	[	[	X
ap-1245	18	5	4	4	NUM
ap-1245	18	6	]	]	PUNCT
ap-1245	18	7	present	present	VERB
ap-1245	18	8	the	the	DET
ap-1245	18	9	simplest	simple	ADJ
ap-1245	18	10	realization	realization	NOUN
ap-1245	18	11	of	of	ADP
ap-1245	18	12	hdf	hdf	PROPN
ap-1245	18	13	strategy	strategy	NOUN
ap-1245	18	14	with	with	ADP
ap-1245	18	15	minimal	minimal	ADJ
ap-1245	18	16	cardinality	cardinality	NOUN
ap-1245	18	17	mapping	mapping	NOUN
ap-1245	18	18	,	,	PUNCT
ap-1245	18	19	which	which	PRON
ap-1245	18	20	they	they	PRON
ap-1245	18	21	call	call	VERB
ap-1245	18	22	“	"	PUNCT
ap-1245	18	23	modulo	modulo	NOUN
ap-1245	18	24	decoding	decoding	NOUN
ap-1245	18	25	”	"	PUNCT
ap-1245	18	26	.	.	PUNCT
ap-1245	19	1	more	more	ADJ
ap-1245	19	2	general	general	ADJ
ap-1245	19	3	relay	relay	NOUN
ap-1245	19	4	output	output	NOUN
ap-1245	19	5	mapping	mapping	NOUN
ap-1245	19	6	,	,	PUNCT
ap-1245	19	7	which	which	PRON
ap-1245	19	8	also	also	ADV
ap-1245	19	9	takes	take	VERB
ap-1245	19	10	into	into	ADP
ap-1245	19	11	account	account	NOUN
ap-1245	19	12	the	the	DET
ap-1245	19	13	possibility	possibility	NOUN
ap-1245	19	14	of	of	ADP
ap-1245	19	15	extended	extended	ADJ
ap-1245	19	16	cardinality	cardinality	NOUN
ap-1245	19	17	,	,	PUNCT
ap-1245	19	18	is	be	AUX
ap-1245	19	19	introduced	introduce	VERB
ap-1245	19	20	in	in	ADP
ap-1245	19	21	[	[	X
ap-1245	19	22	2	2	NUM
ap-1245	19	23	]	]	PUNCT
ap-1245	19	24	.	.	PUNCT
ap-1245	20	1	only	only	ADV
ap-1245	20	2	limited	limited	ADJ
ap-1245	20	3	code	code	NOUN
ap-1245	20	4	design	design	NOUN
ap-1245	20	5	and	and	CCONJ
ap-1245	20	6	capacity	capacity	NOUN
ap-1245	20	7	region	region	NOUN
ap-1245	20	8	results	result	NOUN
ap-1245	20	9	are	be	AUX
ap-1245	20	10	available	available	ADJ
ap-1245	20	11	even	even	ADV
ap-1245	20	12	for	for	ADP
ap-1245	20	13	the	the	DET
ap-1245	20	14	simplest	simple	ADJ
ap-1245	20	15	possible	possible	ADJ
ap-1245	20	16	scenario	scenario	NOUN
ap-1245	20	17	of	of	ADP
ap-1245	20	18	the	the	DET
ap-1245	20	19	parametric	parametric	ADJ
ap-1245	20	20	2	2	NUM
ap-1245	20	21	-	-	PUNCT
ap-1245	20	22	way	way	NOUN
ap-1245	20	23	relay	relay	NOUN
ap-1245	20	24	channel	channel	NOUN
ap-1245	20	25	(	(	PUNCT
ap-1245	20	26	2wrc	2wrc	NOUN
ap-1245	20	27	)	)	PUNCT
ap-1245	20	28	,	,	PUNCT
ap-1245	20	29	see	see	VERB
ap-1245	20	30	[	[	X
ap-1245	20	31	5	5	NUM
ap-1245	20	32	,	,	PUNCT
ap-1245	20	33	6	6	NUM
ap-1245	20	34	,	,	PUNCT
ap-1245	20	35	7	7	NUM
ap-1245	20	36	,	,	PUNCT
ap-1245	20	37	8	8	NUM
ap-1245	20	38	]	]	PUNCT
ap-1245	20	39	.	.	PUNCT
ap-1245	21	1	lattice	lattice	NOUN
ap-1245	21	2	-	-	PUNCT
ap-1245	21	3	based	base	VERB
ap-1245	21	4	code	code	NOUN
ap-1245	21	5	construction	construction	NOUN
ap-1245	21	6	[	[	X
ap-1245	21	7	4	4	NUM
ap-1245	21	8	,	,	PUNCT
ap-1245	21	9	9	9	NUM
ap-1245	21	10	]	]	PUNCT
ap-1245	21	11	using	use	VERB
ap-1245	21	12	the	the	DET
ap-1245	21	13	principles	principle	NOUN
ap-1245	21	14	from	from	ADP
ap-1245	21	15	[	[	X
ap-1245	21	16	10	10	NUM
ap-1245	21	17	]	]	PUNCT
ap-1245	21	18	is	be	AUX
ap-1245	21	19	limited	limit	VERB
ap-1245	21	20	to	to	ADP
ap-1245	21	21	non	non	ADJ
ap-1245	21	22	-	-	ADJ
ap-1245	21	23	parametric	parametric	ADJ
ap-1245	21	24	gaussian	gaussian	ADJ
ap-1245	21	25	channels	channel	NOUN
ap-1245	21	26	.	.	PUNCT
ap-1245	22	1	references	reference	NOUN
ap-1245	22	2	[	[	X
ap-1245	22	3	2	2	NUM
ap-1245	22	4	,	,	PUNCT
ap-1245	22	5	3	3	NUM
ap-1245	22	6	]	]	PUNCT
ap-1245	22	7	present	present	ADJ
ap-1245	22	8	a	a	DET
ap-1245	22	9	layered	layered	ADJ
ap-1245	22	10	approach	approach	NOUN
ap-1245	22	11	to	to	ADP
ap-1245	22	12	hierarchical	hierarchical	ADJ
ap-1245	22	13	exclusive	exclusive	ADJ
ap-1245	22	14	code	code	NOUN
ap-1245	22	15	(	(	PUNCT
ap-1245	22	16	hxc	hxc	NOUN
ap-1245	22	17	)	)	PUNCT
ap-1245	22	18	design	design	NOUN
ap-1245	22	19	for	for	ADP
ap-1245	22	20	parametric	parametric	ADJ
ap-1245	22	21	2	2	NUM
ap-1245	22	22	-	-	PUNCT
ap-1245	22	23	wrc	wrc	NOUN
ap-1245	22	24	,	,	PUNCT
ap-1245	22	25	based	base	VERB
ap-1245	22	26	on	on	ADP
ap-1245	22	27	the	the	DET
ap-1245	22	28	hierarchical	hierarchical	ADJ
ap-1245	22	29	exclusive	exclusive	ADJ
ap-1245	22	30	alphabet	alphabet	NOUN
ap-1245	22	31	(	(	PUNCT
ap-1245	22	32	hxa	hxa	PROPN
ap-1245	22	33	)	)	PUNCT
ap-1245	22	34	.	.	PUNCT
ap-1245	23	1	hierarchical	hierarchical	ADJ
ap-1245	23	2	mac	mac	PROPN
ap-1245	23	3	capacity	capacity	NOUN
ap-1245	23	4	regions	region	NOUN
ap-1245	23	5	for	for	ADP
ap-1245	23	6	various	various	ADJ
ap-1245	23	7	alphabets	alphabet	NOUN
ap-1245	23	8	,	,	PUNCT
ap-1245	23	9	constellation	constellation	NOUN
ap-1245	23	10	point	point	NOUN
ap-1245	23	11	indexing	indexing	NOUN
ap-1245	23	12	and	and	CCONJ
ap-1245	23	13	channel	channel	NOUN
ap-1245	23	14	parametrization	parametrization	NOUN
ap-1245	23	15	are	be	AUX
ap-1245	23	16	evaluated	evaluate	VERB
ap-1245	23	17	in	in	ADP
ap-1245	23	18	[	[	X
ap-1245	23	19	3	3	NUM
ap-1245	23	20	]	]	PUNCT
ap-1245	23	21	.	.	PUNCT
ap-1245	24	1	significant	significant	ADJ
ap-1245	24	2	capacity	capacity	NOUN
ap-1245	24	3	degradation	degradation	NOUN
ap-1245	24	4	is	be	AUX
ap-1245	24	5	caused	cause	VERB
ap-1245	24	6	by	by	ADP
ap-1245	24	7	channel	channel	NOUN
ap-1245	24	8	parametrization	parametrization	NOUN
ap-1245	24	9	,	,	PUNCT
ap-1245	24	10	which	which	PRON
ap-1245	24	11	highlights	highlight	VERB
ap-1245	24	12	the	the	DET
ap-1245	24	13	importance	importance	NOUN
ap-1245	24	14	of	of	ADP
ap-1245	24	15	hxa	hxa	ADJ
ap-1245	24	16	design	design	NOUN
ap-1245	24	17	resistant	resistant	ADJ
ap-1245	24	18	to	to	PART
ap-1245	24	19	channel	channel	VERB
ap-1245	24	20	parametrization	parametrization	NOUN
ap-1245	24	21	.	.	PUNCT
ap-1245	25	1	1.2	1.2	NUM
ap-1245	25	2	goals	goal	NOUN
ap-1245	25	3	and	and	CCONJ
ap-1245	25	4	contribution	contribution	NOUN
ap-1245	25	5	of	of	ADP
ap-1245	25	6	this	this	DET
ap-1245	25	7	paper	paper	NOUN
ap-1245	25	8	the	the	DET
ap-1245	25	9	proper	proper	ADJ
ap-1245	25	10	design	design	NOUN
ap-1245	25	11	of	of	ADP
ap-1245	25	12	hxa	hxa	NOUN
ap-1245	25	13	is	be	AUX
ap-1245	25	14	critical	critical	ADJ
ap-1245	25	15	for	for	ADP
ap-1245	25	16	overall	overall	ADJ
ap-1245	25	17	system	system	NOUN
ap-1245	25	18	performance	performance	NOUN
ap-1245	25	19	,	,	PUNCT
ap-1245	25	20	especially	especially	ADV
ap-1245	25	21	in	in	ADP
ap-1245	25	22	the	the	DET
ap-1245	25	23	case	case	NOUN
ap-1245	25	24	of	of	ADP
ap-1245	25	25	parametric	parametric	ADJ
ap-1245	25	26	2wrc	2wrc	NOUN
ap-1245	25	27	,	,	PUNCT
ap-1245	25	28	where	where	SCONJ
ap-1245	25	29	the	the	DET
ap-1245	25	30	channel	channel	NOUN
ap-1245	25	31	parametrization	parametrization	NOUN
ap-1245	25	32	(	(	PUNCT
ap-1245	25	33	e.g.	e.g.	ADV
ap-1245	25	34	phase	phase	NOUN
ap-1245	25	35	rotation	rotation	NOUN
ap-1245	25	36	)	)	PUNCT
ap-1245	25	37	can	can	AUX
ap-1245	25	38	cause	cause	VERB
ap-1245	25	39	significant	significant	ADJ
ap-1245	25	40	capacity	capacity	NOUN
ap-1245	25	41	degradation	degradation	NOUN
ap-1245	25	42	.	.	PUNCT
ap-1245	26	1	the	the	DET
ap-1245	26	2	parametrization	parametrization	NOUN
ap-1245	26	3	should	should	AUX
ap-1245	26	4	be	be	AUX
ap-1245	26	5	taken	take	VERB
ap-1245	26	6	into	into	ADP
ap-1245	26	7	account	account	NOUN
ap-1245	26	8	in	in	ADP
ap-1245	26	9	the	the	DET
ap-1245	26	10	design	design	NOUN
ap-1245	26	11	process	process	NOUN
ap-1245	26	12	,	,	PUNCT
ap-1245	26	13	and	and	CCONJ
ap-1245	26	14	hxa	hxa	ADJ
ap-1245	26	15	resistant	resistant	ADJ
ap-1245	26	16	to	to	ADP
ap-1245	26	17	the	the	DET
ap-1245	26	18	effects	effect	NOUN
ap-1245	26	19	of	of	ADP
ap-1245	26	20	channel	channel	NOUN
ap-1245	26	21	parametrization	parametrization	NOUN
ap-1245	26	22	should	should	AUX
ap-1245	26	23	be	be	AUX
ap-1245	26	24	found	find	VERB
ap-1245	26	25	.	.	PUNCT
ap-1245	27	1	one	one	NUM
ap-1245	27	2	way	way	NOUN
ap-1245	27	3	to	to	PART
ap-1245	27	4	achieve	achieve	VERB
ap-1245	27	5	this	this	PRON
ap-1245	27	6	is	be	AUX
ap-1245	27	7	by	by	ADP
ap-1245	27	8	designing	design	VERB
ap-1245	27	9	the	the	DET
ap-1245	27	10	hxa	hxa	NOUN
ap-1245	27	11	with	with	ADP
ap-1245	27	12	parameter	parameter	NOUN
ap-1245	27	13	invariant	invariant	ADJ
ap-1245	27	14	hierarchical	hierarchical	ADJ
ap-1245	27	15	decision	decision	NOUN
ap-1245	27	16	maps	map	NOUN
ap-1245	27	17	(	(	PUNCT
ap-1245	27	18	hdm	hdm	PROPN
ap-1245	27	19	)	)	PUNCT
ap-1245	27	20	at	at	ADP
ap-1245	27	21	the	the	DET
ap-1245	27	22	relay	relay	NOUN
ap-1245	27	23	.	.	PUNCT
ap-1245	28	1	the	the	DET
ap-1245	28	2	first	first	ADJ
ap-1245	28	3	design	design	NOUN
ap-1245	28	4	approaches	approach	NOUN
ap-1245	28	5	of	of	ADP
ap-1245	28	6	this	this	DET
ap-1245	28	7	kind	kind	NOUN
ap-1245	28	8	(	(	PUNCT
ap-1245	28	9	e	e	NOUN
ap-1245	28	10	-	-	NOUN
ap-1245	28	11	phxc	phxc	ADJ
ap-1245	28	12	design	design	NOUN
ap-1245	28	13	criteria	criterion	NOUN
ap-1245	28	14	[	[	X
ap-1245	28	15	11	11	NUM
ap-1245	28	16	,	,	PUNCT
ap-1245	28	17	12	12	NUM
ap-1245	28	18	]	]	PUNCT
ap-1245	28	19	)	)	PUNCT
ap-1245	28	20	have	have	AUX
ap-1245	28	21	led	lead	VERB
ap-1245	28	22	so	so	ADV
ap-1245	28	23	far	far	ADV
ap-1245	28	24	only	only	ADV
ap-1245	28	25	79	79	NUM
ap-1245	28	26	acta	acta	PROPN
ap-1245	28	27	polytechnica	polytechnica	PROPN
ap-1245	28	28	vol	vol	NOUN
ap-1245	28	29	.	.	PROPN
ap-1245	29	1	50	50	NUM
ap-1245	29	2	no	no	NOUN
ap-1245	29	3	.	.	PUNCT
ap-1245	30	1	4/2010	4/2010	NOUN
ap-1245	30	2	to	to	PART
ap-1245	30	3	orthogonal	orthogonal	ADJ
ap-1245	30	4	or	or	CCONJ
ap-1245	30	5	non	non	ADJ
ap-1245	30	6	-	-	ADJ
ap-1245	30	7	zero	zero	NUM
ap-1245	30	8	mean	mean	NOUN
ap-1245	30	9	hxa	hxa	ADJ
ap-1245	30	10	with	with	ADP
ap-1245	30	11	unsatisfactory	unsatisfactory	ADJ
ap-1245	30	12	performance	performance	NOUN
ap-1245	30	13	(	(	PUNCT
ap-1245	30	14	capacity	capacity	NOUN
ap-1245	30	15	limited	limit	VERB
ap-1245	30	16	by	by	ADP
ap-1245	30	17	classical	classical	ADJ
ap-1245	30	18	mac	mac	PROPN
ap-1245	30	19	)	)	PUNCT
ap-1245	30	20	.	.	PUNCT
ap-1245	31	1	in	in	ADP
ap-1245	31	2	this	this	DET
ap-1245	31	3	paper	paper	NOUN
ap-1245	31	4	,	,	PUNCT
ap-1245	31	5	we	we	PRON
ap-1245	31	6	introduce	introduce	VERB
ap-1245	31	7	an	an	DET
ap-1245	31	8	example	example	NOUN
ap-1245	31	9	of	of	ADP
ap-1245	31	10	a	a	DET
ap-1245	31	11	geometrical	geometrical	ADJ
ap-1245	31	12	approach	approach	NOUN
ap-1245	31	13	to	to	ADP
ap-1245	31	14	the	the	DET
ap-1245	31	15	design	design	NOUN
ap-1245	31	16	of	of	ADP
ap-1245	31	17	a	a	DET
ap-1245	31	18	multi	multi	ADJ
ap-1245	31	19	-	-	ADJ
ap-1245	31	20	dimensional	dimensional	ADJ
ap-1245	31	21	hxa	hxa	NOUN
ap-1245	31	22	which	which	PRON
ap-1245	31	23	extends	extend	VERB
ap-1245	31	24	the	the	DET
ap-1245	31	25	hierarchical	hierarchical	ADJ
ap-1245	31	26	mac	mac	PROPN
ap-1245	31	27	capacity	capacity	NOUN
ap-1245	31	28	region	region	NOUN
ap-1245	31	29	beyond	beyond	ADP
ap-1245	31	30	the	the	DET
ap-1245	31	31	classical	classical	ADJ
ap-1245	31	32	mac	mac	NOUN
ap-1245	31	33	region	region	NOUN
ap-1245	31	34	irrespective	irrespective	ADV
ap-1245	31	35	of	of	ADP
ap-1245	31	36	the	the	DET
ap-1245	31	37	channel	channel	NOUN
ap-1245	31	38	parametrization	parametrization	NOUN
ap-1245	31	39	.	.	PUNCT
ap-1245	32	1	2	2	NUM
ap-1245	32	2	system	system	NOUN
ap-1245	32	3	model	model	NOUN
ap-1245	32	4	and	and	CCONJ
ap-1245	32	5	definitions	definition	NOUN
ap-1245	32	6	we	we	PRON
ap-1245	32	7	adopt	adopt	VERB
ap-1245	32	8	the	the	DET
ap-1245	32	9	system	system	NOUN
ap-1245	32	10	model	model	NOUN
ap-1245	32	11	presented	present	VERB
ap-1245	32	12	in	in	ADP
ap-1245	32	13	[	[	X
ap-1245	32	14	3	3	NUM
ap-1245	32	15	]	]	PUNCT
ap-1245	32	16	.	.	PUNCT
ap-1245	33	1	we	we	PRON
ap-1245	33	2	consider	consider	VERB
ap-1245	33	3	a	a	DET
ap-1245	33	4	parametric	parametric	ADJ
ap-1245	33	5	wireless	wireless	ADJ
ap-1245	33	6	2	2	NUM
ap-1245	33	7	-	-	PUNCT
ap-1245	33	8	wrc	wrc	NOUN
ap-1245	33	9	system	system	NOUN
ap-1245	33	10	(	(	PUNCT
ap-1245	33	11	fig	fig	NOUN
ap-1245	33	12	.	.	NOUN
ap-1245	33	13	1	1	NUM
ap-1245	33	14	)	)	PUNCT
ap-1245	33	15	,	,	PUNCT
ap-1245	33	16	which	which	PRON
ap-1245	33	17	has	have	VERB
ap-1245	33	18	3	3	NUM
ap-1245	33	19	physically	physically	ADV
ap-1245	33	20	separated	separate	VERB
ap-1245	33	21	nodes	node	NOUN
ap-1245	33	22	(	(	PUNCT
ap-1245	33	23	sources	source	NOUN
ap-1245	33	24	a	a	PRON
ap-1245	33	25	,	,	PUNCT
ap-1245	33	26	b	b	NOUN
ap-1245	33	27	and	and	CCONJ
ap-1245	33	28	relay	relay	NOUN
ap-1245	33	29	r	r	NOUN
ap-1245	33	30	)	)	PUNCT
ap-1245	33	31	supporting	support	VERB
ap-1245	33	32	two	two	NUM
ap-1245	33	33	-	-	PUNCT
ap-1245	33	34	way	way	NOUN
ap-1245	33	35	communication	communication	NOUN
ap-1245	33	36	through	through	ADP
ap-1245	33	37	a	a	DET
ap-1245	33	38	common	common	ADJ
ap-1245	33	39	shared	shared	ADJ
ap-1245	33	40	relay	relay	NOUN
ap-1245	33	41	r.	r.	VERB
ap-1245	33	42	the	the	DET
ap-1245	33	43	source	source	NOUN
ap-1245	33	44	for	for	ADP
ap-1245	33	45	data	datum	NOUN
ap-1245	33	46	a	a	PRON
ap-1245	33	47	is	be	AUX
ap-1245	33	48	co	co	VERB
ap-1245	33	49	-	-	VERB
ap-1245	33	50	located	locate	VERB
ap-1245	33	51	with	with	ADP
ap-1245	33	52	the	the	DET
ap-1245	33	53	destination	destination	NOUN
ap-1245	33	54	for	for	ADP
ap-1245	33	55	data	data	NOUN
ap-1245	33	56	b	b	NOUN
ap-1245	33	57	,	,	PUNCT
ap-1245	33	58	and	and	CCONJ
ap-1245	33	59	vice	vice	NOUN
ap-1245	33	60	-	-	NOUN
ap-1245	33	61	versa	versa	ADJ
ap-1245	33	62	.	.	PUNCT
ap-1245	34	1	the	the	DET
ap-1245	34	2	transmitted	transmit	VERB
ap-1245	34	3	data	datum	NOUN
ap-1245	34	4	of	of	ADP
ap-1245	34	5	each	each	DET
ap-1245	34	6	source	source	NOUN
ap-1245	34	7	serves	serve	VERB
ap-1245	34	8	at	at	ADP
ap-1245	34	9	the	the	DET
ap-1245	34	10	same	same	ADJ
ap-1245	34	11	time	time	NOUN
ap-1245	34	12	as	as	ADP
ap-1245	34	13	side	side	NOUN
ap-1245	34	14	information	information	NOUN
ap-1245	34	15	(	(	PUNCT
ap-1245	34	16	si	si	NOUN
ap-1245	34	17	)	)	PUNCT
ap-1245	34	18	for	for	ADP
ap-1245	34	19	the	the	DET
ap-1245	34	20	reverse	reverse	NOUN
ap-1245	34	21	link	link	NOUN
ap-1245	34	22	.	.	PUNCT
ap-1245	35	1	the	the	DET
ap-1245	35	2	system	system	NOUN
ap-1245	35	3	is	be	AUX
ap-1245	35	4	wireless	wireless	ADJ
ap-1245	35	5	,	,	PUNCT
ap-1245	35	6	and	and	CCONJ
ap-1245	35	7	all	all	PRON
ap-1245	35	8	transmitted	transmit	VERB
ap-1245	35	9	and	and	CCONJ
ap-1245	35	10	received	receive	VERB
ap-1245	35	11	symbols	symbol	NOUN
ap-1245	35	12	are	be	AUX
ap-1245	35	13	signal	signal	ADJ
ap-1245	35	14	space	space	NOUN
ap-1245	35	15	symbols	symbol	NOUN
ap-1245	35	16	.	.	PUNCT
ap-1245	36	1	the	the	DET
ap-1245	36	2	channel	channel	NOUN
ap-1245	36	3	is	be	AUX
ap-1245	36	4	assumed	assume	VERB
ap-1245	36	5	to	to	PART
ap-1245	36	6	be	be	AUX
ap-1245	36	7	a	a	DET
ap-1245	36	8	linear	linear	ADJ
ap-1245	36	9	frequency	frequency	NOUN
ap-1245	36	10	flat	flat	ADJ
ap-1245	36	11	with	with	ADP
ap-1245	36	12	additive	additive	ADJ
ap-1245	36	13	white	white	ADJ
ap-1245	36	14	gaussian	gaussian	PROPN
ap-1245	36	15	noise	noise	NOUN
ap-1245	36	16	(	(	PUNCT
ap-1245	36	17	awgn	awgn	NOUN
ap-1245	36	18	)	)	PUNCT
ap-1245	36	19	.	.	PUNCT
ap-1245	37	1	the	the	DET
ap-1245	37	2	whole	whole	ADJ
ap-1245	37	3	system	system	NOUN
ap-1245	37	4	operates	operate	VERB
ap-1245	37	5	in	in	ADP
ap-1245	37	6	a	a	DET
ap-1245	37	7	half	half	ADJ
ap-1245	37	8	-	-	PUNCT
ap-1245	37	9	duplex	duplex	NOUN
ap-1245	37	10	mode	mode	NOUN
ap-1245	37	11	(	(	PUNCT
ap-1245	37	12	one	one	NUM
ap-1245	37	13	node	node	NOUN
ap-1245	37	14	can	can	AUX
ap-1245	37	15	not	not	PART
ap-1245	37	16	simultaneously	simultaneously	ADV
ap-1245	37	17	receive	receive	VERB
ap-1245	37	18	and	and	CCONJ
ap-1245	37	19	transmit	transmit	VERB
ap-1245	37	20	)	)	PUNCT
ap-1245	37	21	.	.	PUNCT
ap-1245	38	1	the	the	DET
ap-1245	38	2	overall	overall	ADJ
ap-1245	38	3	bi	bi	ADJ
ap-1245	38	4	-	-	ADJ
ap-1245	38	5	directional	directional	ADJ
ap-1245	38	6	communication	communication	NOUN
ap-1245	38	7	is	be	AUX
ap-1245	38	8	split	split	VERB
ap-1245	38	9	into	into	ADP
ap-1245	38	10	a	a	DET
ap-1245	38	11	multiple	multiple	ADJ
ap-1245	38	12	access	access	NOUN
ap-1245	38	13	(	(	PUNCT
ap-1245	38	14	mac	mac	NOUN
ap-1245	38	15	)	)	PUNCT
ap-1245	38	16	phase	phase	NOUN
ap-1245	38	17	and	and	CCONJ
ap-1245	38	18	a	a	DET
ap-1245	38	19	broadcast	broadcast	NOUN
ap-1245	38	20	(	(	PUNCT
ap-1245	38	21	bc	bc	ADJ
ap-1245	38	22	)	)	PUNCT
ap-1245	38	23	phase	phase	NOUN
ap-1245	38	24	.	.	PUNCT
ap-1245	39	1	mac	mac	PROPN
ap-1245	39	2	phase	phase	NOUN
ap-1245	39	3	bc	bc	PROPN
ap-1245	39	4	phase	phase	NOUN
ap-1245	39	5	si	si	PROPN
ap-1245	39	6	si	si	PROPN
ap-1245	39	7	a	a	DET
ap-1245	39	8	r	r	NOUN
ap-1245	39	9	b	b	NOUN
ap-1245	39	10	fig	fig	NOUN
ap-1245	39	11	.	.	PUNCT
ap-1245	40	1	1	1	NUM
ap-1245	40	2	:	:	PUNCT
ap-1245	40	3	model	model	NOUN
ap-1245	40	4	of	of	ADP
ap-1245	40	5	2	2	NUM
ap-1245	40	6	-	-	PUNCT
ap-1245	40	7	wrc	wrc	NOUN
ap-1245	40	8	with	with	ADP
ap-1245	40	9	side	side	ADJ
ap-1245	40	10	information	information	NOUN
ap-1245	40	11	2.1	2.1	NUM
ap-1245	40	12	mac	mac	NOUN
ap-1245	40	13	phase	phase	NOUN
ap-1245	40	14	now	now	ADV
ap-1245	40	15	,	,	PUNCT
ap-1245	40	16	we	we	PRON
ap-1245	40	17	define	define	VERB
ap-1245	40	18	all	all	DET
ap-1245	40	19	formal	formal	ADJ
ap-1245	40	20	details	detail	NOUN
ap-1245	40	21	.	.	PUNCT
ap-1245	41	1	subscripts	subscript	NOUN
ap-1245	41	2	a	a	DET
ap-1245	41	3	and	and	CCONJ
ap-1245	41	4	b	b	NOUN
ap-1245	41	5	denotes	denote	NOUN
ap-1245	41	6	variables	variable	NOUN
ap-1245	41	7	associated	associate	VERB
ap-1245	41	8	with	with	ADP
ap-1245	41	9	node	node	PROPN
ap-1245	41	10	a	a	PRON
ap-1245	41	11	and	and	CCONJ
ap-1245	41	12	b	b	NOUN
ap-1245	41	13	,	,	PUNCT
ap-1245	41	14	respectively	respectively	ADV
ap-1245	41	15	.	.	PUNCT
ap-1245	42	1	the	the	DET
ap-1245	42	2	source	source	NOUN
ap-1245	42	3	data	data	NOUN
ap-1245	42	4	messages	message	NOUN
ap-1245	42	5	are	be	AUX
ap-1245	42	6	da	da	ADJ
ap-1245	42	7	,	,	PUNCT
ap-1245	42	8	db	db	ADJ
ap-1245	42	9	,	,	PUNCT
ap-1245	42	10	and	and	CCONJ
ap-1245	42	11	they	they	PRON
ap-1245	42	12	are	be	AUX
ap-1245	42	13	composed	compose	VERB
ap-1245	42	14	of	of	ADP
ap-1245	42	15	data	datum	NOUN
ap-1245	42	16	symbols	symbol	NOUN
ap-1245	42	17	da	da	PROPN
ap-1245	42	18	,	,	PUNCT
ap-1245	42	19	db	db	PROPN
ap-1245	42	20	∈	∈	NOUN
ap-1245	42	21	ad	ad	NOUN
ap-1245	42	22	=	=	SYM
ap-1245	42	23	{	{	PUNCT
ap-1245	42	24	0	0	NUM
ap-1245	42	25	,	,	PUNCT
ap-1245	42	26	1	1	NUM
ap-1245	42	27	,	,	PUNCT
ap-1245	42	28	.	.	PUNCT
ap-1245	42	29	.	.	PUNCT
ap-1245	42	30	.	.	PUNCT
ap-1245	43	1	,	,	PUNCT
ap-1245	43	2	md	md	PROPN
ap-1245	43	3	−	−	PROPN
ap-1245	43	4	1	1	NUM
ap-1245	43	5	}	}	PUNCT
ap-1245	43	6	,	,	PUNCT
ap-1245	43	7	with	with	ADP
ap-1245	43	8	alphabet	alphabet	PROPN
ap-1245	43	9	cardinality	cardinality	PROPN
ap-1245	43	10	|ad|	|ad|	PROPN
ap-1245	43	11	=	=	SYM
ap-1245	43	12	md	md	PROPN
ap-1245	43	13	.	.	PROPN
ap-1245	44	1	for	for	ADP
ap-1245	44	2	notational	notational	ADJ
ap-1245	44	3	simplicity	simplicity	NOUN
ap-1245	44	4	,	,	PUNCT
ap-1245	44	5	we	we	PRON
ap-1245	44	6	omit	omit	VERB
ap-1245	44	7	the	the	DET
ap-1245	44	8	sequence	sequence	NOUN
ap-1245	44	9	number	number	NOUN
ap-1245	44	10	indices	index	NOUN
ap-1245	44	11	of	of	ADP
ap-1245	44	12	the	the	DET
ap-1245	44	13	individual	individual	ADJ
ap-1245	44	14	symbols	symbol	NOUN
ap-1245	44	15	.	.	PUNCT
ap-1245	45	1	the	the	DET
ap-1245	45	2	source	source	NOUN
ap-1245	45	3	node	node	NOUN
ap-1245	45	4	codewords	codeword	NOUN
ap-1245	45	5	are	be	AUX
ap-1245	45	6	ca	ca	PROPN
ap-1245	45	7	,	,	PUNCT
ap-1245	45	8	cb	cb	PROPN
ap-1245	45	9	with	with	ADP
ap-1245	45	10	code	code	NOUN
ap-1245	45	11	symbols	symbol	NOUN
ap-1245	45	12	ca	can	AUX
ap-1245	45	13	,	,	PUNCT
ap-1245	45	14	cb	cb	PROPN
ap-1245	45	15	∈	∈	PROPN
ap-1245	45	16	ac	ac	PROPN
ap-1245	45	17	,	,	PUNCT
ap-1245	45	18	|ac|	|ac|	PROPN
ap-1245	45	19	=	=	SYM
ap-1245	45	20	mc	mc	PROPN
ap-1245	45	21	.	.	PUNCT
ap-1245	46	1	the	the	DET
ap-1245	46	2	encoding	encoding	NOUN
ap-1245	46	3	operation	operation	NOUN
ap-1245	46	4	is	be	AUX
ap-1245	46	5	performed	perform	VERB
ap-1245	46	6	by	by	ADP
ap-1245	46	7	the	the	DET
ap-1245	46	8	encoders	encoder	NOUN
ap-1245	46	9	ca	can	AUX
ap-1245	46	10	,	,	PUNCT
ap-1245	46	11	cb	cb	PROPN
ap-1245	46	12	with	with	ADP
ap-1245	46	13	codebooks	codebook	NOUN
ap-1245	47	1	ca	can	AUX
ap-1245	47	2	∈	∈	PROPN
ap-1245	47	3	ca	ca	NOUN
ap-1245	47	4	and	and	CCONJ
ap-1245	47	5	cb	cb	PROPN
ap-1245	47	6	∈	∈	PROPN
ap-1245	47	7	cb	cb	PROPN
ap-1245	47	8	.	.	PROPN
ap-1245	48	1	a	a	DET
ap-1245	48	2	signal	signal	ADJ
ap-1245	48	3	space	space	NOUN
ap-1245	48	4	representation	representation	NOUN
ap-1245	48	5	(	(	PUNCT
ap-1245	48	6	with	with	ADP
ap-1245	48	7	an	an	DET
ap-1245	48	8	orthonormal	orthonormal	ADJ
ap-1245	48	9	basis	basis	NOUN
ap-1245	48	10	)	)	PUNCT
ap-1245	48	11	of	of	ADP
ap-1245	48	12	the	the	DET
ap-1245	48	13	transmitted	transmit	VERB
ap-1245	48	14	channel	channel	NOUN
ap-1245	48	15	symbols	symbol	NOUN
ap-1245	48	16	is	be	AUX
ap-1245	48	17	sa	sa	NOUN
ap-1245	48	18	=	=	PUNCT
ap-1245	48	19	s(ca	s(ca	PROPN
ap-1245	48	20	)	)	PUNCT
ap-1245	48	21	,	,	PUNCT
ap-1245	48	22	sb	sb	PROPN
ap-1245	48	23	=	=	PUNCT
ap-1245	48	24	s(cb	s(cb	PROPN
ap-1245	48	25	)	)	PUNCT
ap-1245	48	26	,	,	PUNCT
ap-1245	48	27	sa	sa	PROPN
ap-1245	48	28	,	,	PUNCT
ap-1245	48	29	sb	sb	PROPN
ap-1245	48	30	∈	∈	PROPN
ap-1245	48	31	as	as	ADP
ap-1245	48	32	⊂	⊂	PROPN
ap-1245	48	33	c	c	PROPN
ap-1245	48	34	n	n	PROPN
ap-1245	48	35	.	.	PUNCT
ap-1245	49	1	we	we	PRON
ap-1245	49	2	assume	assume	VERB
ap-1245	49	3	a	a	DET
ap-1245	49	4	common	common	ADJ
ap-1245	49	5	channel	channel	NOUN
ap-1245	49	6	symbol	symbol	NOUN
ap-1245	49	7	mapper	mapper	PROPN
ap-1245	49	8	as(•	as(•	PROPN
ap-1245	49	9	)	)	PUNCT
ap-1245	49	10	.	.	PUNCT
ap-1245	50	1	a	a	DET
ap-1245	50	2	signal	signal	ADJ
ap-1245	50	3	space	space	NOUN
ap-1245	50	4	representation	representation	NOUN
ap-1245	50	5	of	of	ADP
ap-1245	50	6	the	the	DET
ap-1245	50	7	overall	overall	ADJ
ap-1245	50	8	coded	code	VERB
ap-1245	50	9	frame	frame	NOUN
ap-1245	50	10	is	be	AUX
ap-1245	50	11	sa(ca	sa(ca	PROPN
ap-1245	50	12	)	)	PUNCT
ap-1245	50	13	and	and	CCONJ
ap-1245	50	14	sb(cb	sb(cb	PROPN
ap-1245	50	15	)	)	PUNCT
ap-1245	50	16	.	.	PUNCT
ap-1245	51	1	the	the	DET
ap-1245	51	2	received	receive	VERB
ap-1245	51	3	useful	useful	ADJ
ap-1245	51	4	signal	signal	NOUN
ap-1245	51	5	is	be	AUX
ap-1245	51	6	u	u	NOUN
ap-1245	51	7	=	=	PROPN
ap-1245	51	8	sa	sa	PROPN
ap-1245	51	9	+	+	NUM
ap-1245	51	10	αsb	αsb	NUM
ap-1245	51	11	.	.	PUNCT
ap-1245	52	1	(	(	PUNCT
ap-1245	52	2	1	1	X
ap-1245	52	3	)	)	PUNCT
ap-1245	52	4	it	it	PRON
ap-1245	52	5	equivalently	equivalently	ADV
ap-1245	52	6	represents	represent	VERB
ap-1245	52	7	the	the	DET
ap-1245	52	8	parametric	parametric	ADJ
ap-1245	52	9	channel	channel	NOUN
ap-1245	52	10	with	with	ADP
ap-1245	52	11	both	both	DET
ap-1245	52	12	links	link	NOUN
ap-1245	52	13	parametrized	parametrize	VERB
ap-1245	52	14	according	accord	VERB
ap-1245	52	15	to	to	ADP
ap-1245	52	16	the	the	DET
ap-1245	52	17	flat	flat	ADJ
ap-1245	52	18	fading	fading	NOUN
ap-1245	52	19	,	,	PUNCT
ap-1245	52	20	which	which	PRON
ap-1245	52	21	is	be	AUX
ap-1245	52	22	assumed	assume	VERB
ap-1245	52	23	to	to	PART
ap-1245	52	24	be	be	AUX
ap-1245	52	25	constant	constant	ADJ
ap-1245	52	26	over	over	ADP
ap-1245	52	27	the	the	DET
ap-1245	52	28	frame	frame	NOUN
ap-1245	52	29	.	.	PUNCT
ap-1245	53	1	it	it	PRON
ap-1245	53	2	is	be	AUX
ap-1245	53	3	obtained	obtain	VERB
ap-1245	53	4	by	by	ADP
ap-1245	53	5	proper	proper	ADJ
ap-1245	53	6	common	common	ADJ
ap-1245	53	7	rescaling	rescaling	NOUN
ap-1245	53	8	of	of	ADP
ap-1245	53	9	the	the	DET
ap-1245	53	10	true	true	ADJ
ap-1245	53	11	channel	channel	NOUN
ap-1245	53	12	response	response	NOUN
ap-1245	53	13	u′	u′	PROPN
ap-1245	53	14	=	=	SYM
ap-1245	53	15	hasa+hbsb	hasa+hbsb	PROPN
ap-1245	53	16	by	by	ADP
ap-1245	53	17	1	1	NUM
ap-1245	53	18	/	/	SYM
ap-1245	53	19	ha	ha	INTJ
ap-1245	53	20	and	and	CCONJ
ap-1245	53	21	denoting	denote	VERB
ap-1245	53	22	α	α	PROPN
ap-1245	53	23	=	=	SYM
ap-1245	53	24	hb	hb	PROPN
ap-1245	53	25	/	/	SYM
ap-1245	53	26	ha	ha	INTJ
ap-1245	53	27	,	,	PUNCT
ap-1245	53	28	ha	ha	INTJ
ap-1245	53	29	,	,	PUNCT
ap-1245	53	30	hb	hb	PROPN
ap-1245	53	31	,	,	PUNCT
ap-1245	53	32	α	α	PROPN
ap-1245	53	33	∈	∈	PROPN
ap-1245	53	34	c	c	NOUN
ap-1245	53	35	1	1	NUM
ap-1245	53	36	.	.	PUNCT
ap-1245	54	1	the	the	DET
ap-1245	54	2	received	receive	VERB
ap-1245	54	3	signal	signal	NOUN
ap-1245	54	4	at	at	ADP
ap-1245	54	5	the	the	DET
ap-1245	54	6	relay	relay	NOUN
ap-1245	54	7	is	be	AUX
ap-1245	54	8	x	x	X
ap-1245	54	9	=	=	SYM
ap-1245	54	10	hau+	hau+	PROPN
ap-1245	54	11	w	w	PROPN
ap-1245	54	12	(	(	PUNCT
ap-1245	54	13	2	2	NUM
ap-1245	54	14	)	)	PUNCT
ap-1245	54	15	where	where	SCONJ
ap-1245	54	16	the	the	DET
ap-1245	54	17	circularly	circularly	ADJ
ap-1245	54	18	symmetric	symmetric	ADJ
ap-1245	54	19	complex	complex	ADJ
ap-1245	54	20	gaussian	gaussian	NOUN
ap-1245	54	21	noise	noise	NOUN
ap-1245	54	22	w	w	NOUN
ap-1245	54	23	has	have	VERB
ap-1245	54	24	variance	variance	NOUN
ap-1245	54	25	σ2w	σ2w	NOUN
ap-1245	54	26	per	per	ADP
ap-1245	54	27	complex	complex	ADJ
ap-1245	54	28	dimension	dimension	NOUN
ap-1245	54	29	.	.	PUNCT
ap-1245	55	1	2.2	2.2	NUM
ap-1245	55	2	bc	bc	PROPN
ap-1245	55	3	phase	phase	NOUN
ap-1245	55	4	the	the	DET
ap-1245	55	5	relay	relay	NOUN
ap-1245	55	6	receives	receive	VERB
ap-1245	55	7	signal	signal	NOUN
ap-1245	55	8	x	x	PUNCT
ap-1245	55	9	and	and	CCONJ
ap-1245	55	10	processes	process	VERB
ap-1245	55	11	it	it	PRON
ap-1245	55	12	using	use	VERB
ap-1245	55	13	a	a	DET
ap-1245	55	14	hierarchical	hierarchical	ADJ
ap-1245	55	15	decode	decode	NOUN
ap-1245	55	16	and	and	CCONJ
ap-1245	55	17	forward	forward	ADV
ap-1245	55	18	(	(	PUNCT
ap-1245	55	19	hdf	hdf	NOUN
ap-1245	55	20	)	)	PUNCT
ap-1245	55	21	strategy	strategy	NOUN
ap-1245	55	22	.	.	PUNCT
ap-1245	56	1	more	more	ADJ
ap-1245	56	2	details	detail	NOUN
ap-1245	56	3	will	will	AUX
ap-1245	56	4	be	be	AUX
ap-1245	56	5	given	give	VERB
ap-1245	56	6	in	in	ADP
ap-1245	56	7	section	section	NOUN
ap-1245	56	8	3	3	NUM
ap-1245	56	9	.	.	PUNCT
ap-1245	57	1	the	the	DET
ap-1245	57	2	output	output	NOUN
ap-1245	57	3	codeword	codeword	NOUN
ap-1245	57	4	and	and	CCONJ
ap-1245	57	5	its	its	PRON
ap-1245	57	6	code	code	NOUN
ap-1245	57	7	symbols	symbol	NOUN
ap-1245	57	8	are	be	AUX
ap-1245	57	9	cr	cr	NOUN
ap-1245	57	10	and	and	CCONJ
ap-1245	57	11	cr	cr	PROPN
ap-1245	57	12	.	.	PUNCT
ap-1245	58	1	these	these	PRON
ap-1245	58	2	are	be	AUX
ap-1245	58	3	mapped	map	VERB
ap-1245	58	4	into	into	ADP
ap-1245	58	5	signal	signal	ADJ
ap-1245	58	6	space	space	NOUN
ap-1245	58	7	channel	channel	NOUN
ap-1245	58	8	symbols	symbol	NOUN
ap-1245	58	9	v	v	ADP
ap-1245	58	10	∈	∈	PROPN
ap-1245	58	11	ar	ar	PROPN
ap-1245	58	12	and	and	CCONJ
ap-1245	58	13	signal	signal	PROPN
ap-1245	58	14	space	space	NOUN
ap-1245	58	15	codewords	codeword	NOUN
ap-1245	58	16	v	v	NOUN
ap-1245	58	17	with	with	ADP
ap-1245	58	18	the	the	DET
ap-1245	58	19	codebook	codebook	NOUN
ap-1245	58	20	v	v	ADP
ap-1245	58	21	∈	∈	PROPN
ap-1245	58	22	cr	cr	NOUN
ap-1245	58	23	and	and	CCONJ
ap-1245	58	24	are	be	AUX
ap-1245	58	25	broadcast	broadcast	VERB
ap-1245	58	26	to	to	ADP
ap-1245	58	27	destinations	destination	NOUN
ap-1245	58	28	a	a	PRON
ap-1245	58	29	and	and	CCONJ
ap-1245	58	30	b.	b.	PROPN
ap-1245	58	31	at	at	ADP
ap-1245	58	32	node	node	PROPN
ap-1245	58	33	b	b	PROPN
ap-1245	58	34	(	(	PUNCT
ap-1245	58	35	the	the	DET
ap-1245	58	36	destination	destination	NOUN
ap-1245	58	37	for	for	ADP
ap-1245	58	38	data	datum	NOUN
ap-1245	58	39	a	a	PRON
ap-1245	58	40	)	)	PUNCT
ap-1245	58	41	,	,	PUNCT
ap-1245	58	42	the	the	DET
ap-1245	58	43	received	receive	VERB
ap-1245	58	44	signal	signal	NOUN
ap-1245	58	45	space	space	NOUN
ap-1245	58	46	symbols	symbol	NOUN
ap-1245	58	47	are	be	AUX
ap-1245	58	48	ya	ya	PROPN
ap-1245	58	49	=	=	PUNCT
ap-1245	58	50	v	v	PROPN
ap-1245	58	51	+	+	X
ap-1245	58	52	wa	wa	ADJ
ap-1245	58	53	(	(	PUNCT
ap-1245	58	54	3	3	NUM
ap-1245	58	55	)	)	PUNCT
ap-1245	58	56	where	where	SCONJ
ap-1245	58	57	the	the	DET
ap-1245	58	58	complex	complex	ADJ
ap-1245	58	59	circularly	circularly	ADJ
ap-1245	58	60	symmetric	symmetric	ADJ
ap-1245	58	61	awgn	awgn	NOUN
ap-1245	58	62	wa	wa	NOUN
ap-1245	58	63	has	have	AUX
ap-1245	58	64	variance	variance	NOUN
ap-1245	58	65	σ2a	σ2a	PROPN
ap-1245	58	66	per	per	ADP
ap-1245	58	67	complex	complex	ADJ
ap-1245	58	68	dimension	dimension	NOUN
ap-1245	58	69	.	.	PUNCT
ap-1245	59	1	we	we	PRON
ap-1245	59	2	denote	denote	VERB
ap-1245	59	3	the	the	DET
ap-1245	59	4	signal	signal	ADJ
ap-1245	59	5	space	space	NOUN
ap-1245	59	6	symbols	symbol	NOUN
ap-1245	59	7	at	at	ADP
ap-1245	59	8	node	node	PROPN
ap-1245	59	9	a	a	DET
ap-1245	59	10	(	(	PUNCT
ap-1245	59	11	a	a	DET
ap-1245	59	12	destination	destination	NOUN
ap-1245	59	13	for	for	ADP
ap-1245	59	14	data	datum	NOUN
ap-1245	59	15	b	b	NOUN
ap-1245	59	16	)	)	PUNCT
ap-1245	59	17	similarly	similarly	ADV
ap-1245	59	18	yb	yb	PROPN
ap-1245	59	19	=	=	SYM
ap-1245	59	20	v	v	PROPN
ap-1245	59	21	+	+	CCONJ
ap-1245	59	22	wb	wb	NOUN
ap-1245	59	23	.	.	PUNCT
ap-1245	60	1	3	3	NUM
ap-1245	60	2	hierarchical	hierarchical	ADJ
ap-1245	60	3	exclusive	exclusive	ADJ
ap-1245	60	4	code	code	NOUN
ap-1245	60	5	3.1	3.1	NUM
ap-1245	60	6	hierarchical	hierarchical	ADJ
ap-1245	60	7	decode	decode	NOUN
ap-1245	60	8	and	and	CCONJ
ap-1245	60	9	forward	forward	ADJ
ap-1245	60	10	strategy	strategy	NOUN
ap-1245	60	11	the	the	DET
ap-1245	60	12	hdf	hdf	PROPN
ap-1245	60	13	strategy	strategy	NOUN
ap-1245	60	14	is	be	AUX
ap-1245	60	15	based	base	VERB
ap-1245	60	16	on	on	ADP
ap-1245	60	17	relay	relay	NOUN
ap-1245	60	18	processing	processing	NOUN
ap-1245	60	19	,	,	PUNCT
ap-1245	60	20	which	which	PRON
ap-1245	60	21	fully	fully	ADV
ap-1245	60	22	decodes	decode	VERB
ap-1245	60	23	the	the	DET
ap-1245	60	24	hierarchical	hierarchical	ADJ
ap-1245	60	25	data	datum	NOUN
ap-1245	60	26	(	(	PUNCT
ap-1245	60	27	hd	hd	NOUN
ap-1245	60	28	)	)	PUNCT
ap-1245	60	29	message	message	NOUN
ap-1245	60	30	dab(da	dab(da	NOUN
ap-1245	60	31	,	,	PUNCT
ap-1245	60	32	db	db	PROPN
ap-1245	60	33	)	)	PUNCT
ap-1245	60	34	and	and	CCONJ
ap-1245	60	35	sends	send	VERB
ap-1245	60	36	out	out	ADP
ap-1245	60	37	the	the	DET
ap-1245	60	38	corresponding	corresponding	ADJ
ap-1245	60	39	codeword	codeword	NOUN
ap-1245	60	40	v	v	ADP
ap-1245	60	41	=	=	SYM
ap-1245	60	42	v(dab	v(dab	PROPN
ap-1245	60	43	)	)	PUNCT
ap-1245	60	44	which	which	PRON
ap-1245	60	45	represents	represent	VERB
ap-1245	60	46	the	the	DET
ap-1245	60	47	original	original	ADJ
ap-1245	60	48	data	data	NOUN
ap-1245	60	49	messages	message	NOUN
ap-1245	60	50	da	da	VERB
ap-1245	60	51	and	and	CCONJ
ap-1245	60	52	db	db	VERB
ap-1245	60	53	only	only	ADV
ap-1245	60	54	through	through	ADP
ap-1245	60	55	the	the	DET
ap-1245	60	56	exclusive	exclusive	ADJ
ap-1245	60	57	law	law	NOUN
ap-1245	60	58	[	[	X
ap-1245	60	59	6	6	NUM
ap-1245	60	60	]	]	SYM
ap-1245	60	61	v	v	NOUN
ap-1245	60	62	(	(	PUNCT
ap-1245	60	63	dab(da	dab(da	NOUN
ap-1245	60	64	,	,	PUNCT
ap-1245	60	65	db	db	NOUN
ap-1245	60	66	)	)	PUNCT
ap-1245	60	67	)	)	PUNCT
ap-1245	60	68	�	�	PROPN
ap-1245	61	1	=	=	SYM
ap-1245	61	2	v	v	X
ap-1245	61	3	(	(	PUNCT
ap-1245	61	4	dab(d′a	dab(d′a	PROPN
ap-1245	61	5	,	,	PUNCT
ap-1245	61	6	db	db	PROPN
ap-1245	61	7	)	)	PUNCT
ap-1245	61	8	)	)	PUNCT
ap-1245	61	9	,	,	PUNCT
ap-1245	61	10	∀da	∀da	PROPN
ap-1245	61	11	�	�	PROPN
ap-1245	61	12	=	=	SYM
ap-1245	61	13	d′a	d′a	PROPN
ap-1245	61	14	,	,	PUNCT
ap-1245	61	15	(	(	PUNCT
ap-1245	61	16	4	4	X
ap-1245	61	17	)	)	PUNCT
ap-1245	61	18	v	v	NOUN
ap-1245	61	19	(	(	PUNCT
ap-1245	61	20	dab(da	dab(da	NOUN
ap-1245	61	21	,	,	PUNCT
ap-1245	61	22	db	db	NOUN
ap-1245	61	23	)	)	PUNCT
ap-1245	61	24	)	)	PUNCT
ap-1245	61	25	�	�	PROPN
ap-1245	61	26	=	=	SYM
ap-1245	61	27	v	v	NOUN
ap-1245	61	28	(	(	PUNCT
ap-1245	61	29	dab(da	dab(da	NOUN
ap-1245	61	30	,	,	PUNCT
ap-1245	61	31	d′b	d′b	PROPN
ap-1245	61	32	)	)	PUNCT
ap-1245	61	33	)	)	PUNCT
ap-1245	61	34	,	,	PUNCT
ap-1245	61	35	∀db	∀db	PROPN
ap-1245	61	36	�	�	PROPN
ap-1245	61	37	=	=	SYM
ap-1245	61	38	d′b	d′b	PROPN
ap-1245	61	39	.	.	PUNCT
ap-1245	62	1	(	(	PUNCT
ap-1245	62	2	5	5	X
ap-1245	62	3	)	)	PUNCT
ap-1245	62	4	the	the	DET
ap-1245	62	5	hierarchical	hierarchical	ADJ
ap-1245	62	6	data	data	NOUN
ap-1245	62	7	is	be	AUX
ap-1245	62	8	a	a	DET
ap-1245	62	9	joint	joint	ADJ
ap-1245	62	10	representation	representation	NOUN
ap-1245	62	11	of	of	ADP
ap-1245	62	12	the	the	DET
ap-1245	62	13	data	datum	NOUN
ap-1245	62	14	from	from	ADP
ap-1245	62	15	both	both	DET
ap-1245	62	16	sources	source	NOUN
ap-1245	62	17	such	such	ADJ
ap-1245	62	18	that	that	SCONJ
ap-1245	62	19	they	they	PRON
ap-1245	62	20	uniquely	uniquely	ADV
ap-1245	62	21	represent	represent	VERB
ap-1245	62	22	one	one	NUM
ap-1245	62	23	data	data	NOUN
ap-1245	62	24	source	source	NOUN
ap-1245	62	25	given	give	VERB
ap-1245	62	26	full	full	ADJ
ap-1245	62	27	knowledge	knowledge	NOUN
ap-1245	62	28	of	of	ADP
ap-1245	62	29	the	the	DET
ap-1245	62	30	other	other	ADJ
ap-1245	62	31	source	source	NOUN
ap-1245	62	32	.	.	PUNCT
ap-1245	63	1	assuming	assume	VERB
ap-1245	63	2	that	that	SCONJ
ap-1245	63	3	destination	destination	NOUN
ap-1245	63	4	node	node	PROPN
ap-1245	63	5	b	b	PROPN
ap-1245	63	6	has	have	VERB
ap-1245	63	7	perfect	perfect	ADJ
ap-1245	63	8	side	side	NOUN
ap-1245	63	9	information	information	NOUN
ap-1245	63	10	(	(	PUNCT
ap-1245	63	11	si	si	NOUN
ap-1245	63	12	)	)	PUNCT
ap-1245	63	13	on	on	ADP
ap-1245	63	14	the	the	DET
ap-1245	63	15	node	node	NOUN
ap-1245	63	16	’s	’s	PART
ap-1245	63	17	own	own	ADJ
ap-1245	63	18	data	datum	NOUN
ap-1245	63	19	db	db	ADP
ap-1245	63	20	it	it	PRON
ap-1245	63	21	can	can	AUX
ap-1245	63	22	then	then	ADV
ap-1245	63	23	decode	decode	VERB
ap-1245	63	24	the	the	DET
ap-1245	63	25	message	message	NOUN
ap-1245	63	26	da	da	NOUN
ap-1245	63	27	(	(	PUNCT
ap-1245	63	28	and	and	CCONJ
ap-1245	63	29	similarly	similarly	ADV
ap-1245	63	30	for	for	ADP
ap-1245	63	31	node	node	NOUN
ap-1245	63	32	a	a	PRON
ap-1245	63	33	)	)	PUNCT
ap-1245	63	34	.	.	PUNCT
ap-1245	64	1	data	datum	NOUN
ap-1245	64	2	db	db	PROPN
ap-1245	64	3	will	will	AUX
ap-1245	64	4	be	be	AUX
ap-1245	64	5	called	call	VERB
ap-1245	64	6	complementary	complementary	ADJ
ap-1245	64	7	data	datum	NOUN
ap-1245	64	8	from	from	ADP
ap-1245	64	9	the	the	DET
ap-1245	64	10	perspective	perspective	NOUN
ap-1245	64	11	of	of	ADP
ap-1245	64	12	the	the	DET
ap-1245	64	13	data	datum	NOUN
ap-1245	64	14	da	da	PROPN
ap-1245	64	15	operations	operation	NOUN
ap-1245	64	16	.	.	PUNCT
ap-1245	65	1	the	the	DET
ap-1245	65	2	si	si	NOUN
ap-1245	65	3	on	on	ADP
ap-1245	65	4	the	the	DET
ap-1245	65	5	complementary	complementary	ADJ
ap-1245	65	6	data	datum	NOUN
ap-1245	65	7	will	will	AUX
ap-1245	65	8	be	be	AUX
ap-1245	65	9	denoted	denote	VERB
ap-1245	65	10	as	as	ADP
ap-1245	65	11	complementary	complementary	ADJ
ap-1245	65	12	si	si	X
ap-1245	65	13	(	(	PUNCT
ap-1245	65	14	c	c	NOUN
ap-1245	65	15	-	-	PUNCT
ap-1245	65	16	si	si	NOUN
ap-1245	65	17	)	)	PUNCT
ap-1245	66	1	[	[	X
ap-1245	66	2	3	3	NUM
ap-1245	66	3	]	]	PUNCT
ap-1245	66	4	.	.	PUNCT
ap-1245	67	1	a	a	DET
ap-1245	67	2	code	code	NOUN
ap-1245	67	3	(	(	PUNCT
ap-1245	67	4	codebook	codebook	NOUN
ap-1245	67	5	)	)	PUNCT
ap-1245	67	6	satisfying	satisfy	VERB
ap-1245	67	7	the	the	DET
ap-1245	67	8	exclusive	exclusive	ADJ
ap-1245	67	9	law	law	NOUN
ap-1245	67	10	at	at	ADP
ap-1245	67	11	the	the	DET
ap-1245	67	12	signal	signal	ADJ
ap-1245	67	13	space	space	NOUN
ap-1245	67	14	codeword	codeword	NOUN
ap-1245	67	15	level	level	NOUN
ap-1245	67	16	(	(	PUNCT
ap-1245	67	17	for	for	ADP
ap-1245	67	18	the	the	DET
ap-1245	67	19	hd	hd	NOUN
ap-1245	67	20	messages	message	NOUN
ap-1245	67	21	)	)	PUNCT
ap-1245	67	22	is	be	AUX
ap-1245	67	23	called	call	VERB
ap-1245	67	24	a	a	DET
ap-1245	67	25	hierarchical	hierarchical	ADJ
ap-1245	67	26	exclusive	exclusive	ADJ
ap-1245	67	27	code	code	NOUN
ap-1245	67	28	(	(	PUNCT
ap-1245	67	29	hxc	hxc	X
ap-1245	67	30	)	)	PUNCT
ap-1245	68	1	[	[	X
ap-1245	68	2	3	3	NUM
ap-1245	68	3	]	]	PUNCT
ap-1245	68	4	.	.	PUNCT
ap-1245	69	1	we	we	PRON
ap-1245	69	2	will	will	AUX
ap-1245	69	3	denote	denote	VERB
ap-1245	69	4	the	the	DET
ap-1245	69	5	mapping	mapping	NOUN
ap-1245	69	6	satisfying	satisfy	VERB
ap-1245	69	7	the	the	DET
ap-1245	69	8	exclusive	exclusive	ADJ
ap-1245	69	9	law	law	NOUN
ap-1245	69	10	by	by	ADP
ap-1245	69	11	the	the	DET
ap-1245	69	12	operator	operator	NOUN
ap-1245	69	13	x	x	SYM
ap-1245	69	14	(	(	PUNCT
ap-1245	69	15	•	•	NOUN
ap-1245	69	16	,	,	PUNCT
ap-1245	69	17	•	•	NUM
ap-1245	69	18	)	)	PUNCT
ap-1245	69	19	.	.	PUNCT
ap-1245	70	1	80	80	NUM
ap-1245	70	2	acta	acta	PROPN
ap-1245	70	3	polytechnica	polytechnica	PROPN
ap-1245	70	4	vol	vol	NOUN
ap-1245	70	5	.	.	PROPN
ap-1245	71	1	50	50	NUM
ap-1245	71	2	no	no	NOUN
ap-1245	71	3	.	.	PUNCT
ap-1245	72	1	4/2010	4/2010	NUM
ap-1245	72	2	unlike	unlike	ADP
ap-1245	72	3	the	the	DET
ap-1245	72	4	standard	standard	ADJ
ap-1245	72	5	relaying	relaying	NOUN
ap-1245	72	6	techniques	technique	NOUN
ap-1245	72	7	based	base	VERB
ap-1245	72	8	on	on	ADP
ap-1245	72	9	the	the	DET
ap-1245	72	10	joint	joint	PROPN
ap-1245	72	11	decode	decode	PROPN
ap-1245	72	12	&	&	CCONJ
ap-1245	72	13	forward	forward	ADJ
ap-1245	72	14	paradigm	paradigm	NOUN
ap-1245	72	15	,	,	PUNCT
ap-1245	72	16	where	where	SCONJ
ap-1245	72	17	the	the	DET
ap-1245	72	18	nc	nc	PROPN
ap-1245	72	19	approach	approach	NOUN
ap-1245	72	20	is	be	AUX
ap-1245	72	21	used	use	VERB
ap-1245	72	22	mainly	mainly	ADV
ap-1245	72	23	for	for	ADP
ap-1245	72	24	a	a	DET
ap-1245	72	25	bc	bc	ADJ
ap-1245	72	26	phase	phase	NOUN
ap-1245	72	27	of	of	ADP
ap-1245	72	28	communication	communication	NOUN
ap-1245	72	29	,	,	PUNCT
ap-1245	72	30	in	in	ADP
ap-1245	72	31	the	the	DET
ap-1245	72	32	hierarchical	hierarchical	ADJ
ap-1245	72	33	approach	approach	NOUN
ap-1245	72	34	(	(	PUNCT
ap-1245	72	35	hdf	hdf	PROPN
ap-1245	72	36	)	)	PUNCT
ap-1245	72	37	the	the	DET
ap-1245	72	38	hierarchical	hierarchical	ADJ
ap-1245	72	39	data	datum	NOUN
ap-1245	72	40	is	be	AUX
ap-1245	72	41	directly	directly	ADV
ap-1245	72	42	obtained	obtain	VERB
ap-1245	72	43	from	from	ADP
ap-1245	72	44	the	the	DET
ap-1245	72	45	received	receive	VERB
ap-1245	72	46	signal	signal	NOUN
ap-1245	72	47	observations	observation	NOUN
ap-1245	72	48	without	without	ADP
ap-1245	72	49	the	the	DET
ap-1245	72	50	need	need	NOUN
ap-1245	72	51	to	to	PART
ap-1245	72	52	decode	decode	VERB
ap-1245	72	53	the	the	DET
ap-1245	72	54	individual	individual	ADJ
ap-1245	72	55	data	datum	NOUN
ap-1245	72	56	streams	stream	NOUN
ap-1245	72	57	.	.	PUNCT
ap-1245	73	1	the	the	DET
ap-1245	73	2	fact	fact	NOUN
ap-1245	73	3	that	that	SCONJ
ap-1245	73	4	only	only	ADV
ap-1245	73	5	the	the	DET
ap-1245	73	6	hierarchical	hierarchical	ADJ
ap-1245	73	7	data	datum	NOUN
ap-1245	73	8	(	(	PUNCT
ap-1245	73	9	not	not	PART
ap-1245	73	10	the	the	DET
ap-1245	73	11	individual	individual	ADJ
ap-1245	73	12	data	datum	NOUN
ap-1245	73	13	streams	stream	NOUN
ap-1245	73	14	)	)	PUNCT
ap-1245	73	15	is	be	AUX
ap-1245	73	16	decoded	decode	VERB
ap-1245	73	17	at	at	ADP
ap-1245	73	18	the	the	DET
ap-1245	73	19	relay	relay	NOUN
ap-1245	73	20	in	in	ADP
ap-1245	73	21	the	the	DET
ap-1245	73	22	mac	mac	NOUN
ap-1245	73	23	phase	phase	NOUN
ap-1245	73	24	allows	allow	VERB
ap-1245	73	25	the	the	DET
ap-1245	73	26	system	system	NOUN
ap-1245	73	27	throughput	throughput	NOUN
ap-1245	73	28	to	to	PART
ap-1245	73	29	be	be	AUX
ap-1245	73	30	increased	increase	VERB
ap-1245	73	31	above	above	ADP
ap-1245	73	32	the	the	DET
ap-1245	73	33	constraints	constraint	NOUN
ap-1245	73	34	given	give	VERB
ap-1245	73	35	by	by	ADP
ap-1245	73	36	the	the	DET
ap-1245	73	37	classical	classical	ADJ
ap-1245	73	38	mac	mac	NOUN
ap-1245	73	39	region	region	NOUN
ap-1245	73	40	.	.	PUNCT
ap-1245	74	1	to	to	PART
ap-1245	74	2	facilitate	facilitate	VERB
ap-1245	74	3	this	this	DET
ap-1245	74	4	potential	potential	ADJ
ap-1245	74	5	throughput	throughput	NOUN
ap-1245	74	6	benefit	benefit	NOUN
ap-1245	74	7	,	,	PUNCT
ap-1245	74	8	the	the	DET
ap-1245	74	9	mac	mac	PROPN
ap-1245	74	10	stage	stage	NOUN
ap-1245	74	11	encoding	encoding	NOUN
ap-1245	74	12	must	must	AUX
ap-1245	74	13	be	be	AUX
ap-1245	74	14	such	such	ADJ
ap-1245	74	15	that	that	SCONJ
ap-1245	74	16	the	the	DET
ap-1245	74	17	observation	observation	NOUN
ap-1245	74	18	at	at	ADP
ap-1245	74	19	the	the	DET
ap-1245	74	20	relay	relay	NOUN
ap-1245	74	21	allows	allow	VERB
ap-1245	74	22	direct	direct	ADJ
ap-1245	74	23	hxc	hxc	NOUN
ap-1245	74	24	mapping	mapping	NOUN
ap-1245	74	25	to	to	ADP
ap-1245	74	26	the	the	DET
ap-1245	74	27	hierarchical	hierarchical	ADJ
ap-1245	74	28	data	datum	NOUN
ap-1245	74	29	.	.	PUNCT
ap-1245	75	1	in	in	ADP
ap-1245	75	2	other	other	ADJ
ap-1245	75	3	words	word	NOUN
ap-1245	75	4	,	,	PUNCT
ap-1245	75	5	alongside	alongside	ADP
ap-1245	75	6	the	the	DET
ap-1245	75	7	complete	complete	ADJ
ap-1245	75	8	signal	signal	NOUN
ap-1245	75	9	path	path	NOUN
ap-1245	75	10	(	(	PUNCT
ap-1245	75	11	mac	mac	PROPN
ap-1245	75	12	and	and	CCONJ
ap-1245	75	13	bc	bc	PROPN
ap-1245	75	14	)	)	PUNCT
ap-1245	75	15	the	the	DET
ap-1245	75	16	coding	coding	NOUN
ap-1245	75	17	must	must	AUX
ap-1245	75	18	always	always	ADV
ap-1245	75	19	be	be	AUX
ap-1245	75	20	hxc	hxc	PROPN
ap-1245	75	21	w.r.t	w.r.t	NOUN
ap-1245	75	22	.	.	PUNCT
ap-1245	76	1	the	the	DET
ap-1245	76	2	hierarchical	hierarchical	ADJ
ap-1245	76	3	data	datum	NOUN
ap-1245	76	4	[	[	X
ap-1245	76	5	3	3	NUM
ap-1245	76	6	]	]	PUNCT
ap-1245	76	7	.	.	PUNCT
ap-1245	77	1	throughout	throughout	ADP
ap-1245	77	2	this	this	DET
ap-1245	77	3	paper	paper	NOUN
ap-1245	77	4	we	we	PRON
ap-1245	77	5	assume	assume	VERB
ap-1245	77	6	only	only	ADV
ap-1245	77	7	the	the	DET
ap-1245	77	8	hxc	hxc	NOUN
ap-1245	77	9	with	with	ADP
ap-1245	77	10	minimal	minimal	ADJ
ap-1245	77	11	cardinality	cardinality	NOUN
ap-1245	77	12	of	of	ADP
ap-1245	77	13	the	the	DET
ap-1245	77	14	relay	relay	NOUN
ap-1245	77	15	hierarchical	hierarchical	ADJ
ap-1245	77	16	codebook	codebook	NOUN
ap-1245	77	17	(	(	PUNCT
ap-1245	77	18	|cr|	|cr|	PROPN
ap-1245	77	19	=	=	SYM
ap-1245	77	20	max(|ca|	max(|ca|	X
ap-1245	77	21	,	,	PUNCT
ap-1245	77	22	|cb|	|cb|	NOUN
ap-1245	77	23	)	)	PUNCT
ap-1245	77	24	)	)	PUNCT
ap-1245	77	25	,	,	PUNCT
ap-1245	77	26	which	which	PRON
ap-1245	77	27	requires	require	VERB
ap-1245	77	28	that	that	SCONJ
ap-1245	77	29	both	both	DET
ap-1245	77	30	nodes	node	NOUN
ap-1245	77	31	(	(	PUNCT
ap-1245	77	32	a	a	DET
ap-1245	77	33	,	,	PUNCT
ap-1245	77	34	b	b	NOUN
ap-1245	77	35	)	)	PUNCT
ap-1245	77	36	have	have	VERB
ap-1245	77	37	perfect	perfect	ADJ
ap-1245	77	38	c	c	NOUN
ap-1245	77	39	-	-	PUNCT
ap-1245	77	40	si	si	NOUN
ap-1245	77	41	on	on	ADP
ap-1245	77	42	the	the	DET
ap-1245	77	43	complementary	complementary	ADJ
ap-1245	77	44	data	datum	NOUN
ap-1245	77	45	.	.	PUNCT
ap-1245	78	1	a	a	DET
ap-1245	78	2	general	general	ADJ
ap-1245	78	3	discussion	discussion	NOUN
ap-1245	78	4	on	on	ADP
ap-1245	78	5	the	the	DET
ap-1245	78	6	relay	relay	NOUN
ap-1245	78	7	hierarchical	hierarchical	ADJ
ap-1245	78	8	codebook	codebook	NOUN
ap-1245	78	9	cardinality	cardinality	NOUN
ap-1245	78	10	can	can	AUX
ap-1245	78	11	be	be	AUX
ap-1245	78	12	found	find	VERB
ap-1245	78	13	in	in	ADP
ap-1245	78	14	[	[	X
ap-1245	78	15	3	3	NUM
ap-1245	78	16	]	]	PUNCT
ap-1245	78	17	.	.	PUNCT
ap-1245	78	18	3.2	3.2	NUM
ap-1245	78	19	layered	layer	VERB
ap-1245	78	20	hxc	hxc	PROPN
ap-1245	78	21	design	design	NOUN
ap-1245	78	22	for	for	ADP
ap-1245	78	23	perfect	perfect	ADJ
ap-1245	78	24	c	c	NOUN
ap-1245	78	25	-	-	PUNCT
ap-1245	78	26	si	si	ADJ
ap-1245	78	27	direct	direct	ADJ
ap-1245	78	28	design	design	NOUN
ap-1245	78	29	of	of	ADP
ap-1245	78	30	the	the	DET
ap-1245	78	31	hxc	hxc	PROPN
ap-1245	78	32	codebook	codebook	NOUN
ap-1245	78	33	cr	cr	NOUN
ap-1245	78	34	providing	provide	VERB
ap-1245	78	35	the	the	DET
ap-1245	78	36	mapping	mapping	NOUN
ap-1245	78	37	v	v	NOUN
ap-1245	78	38	(	(	PUNCT
ap-1245	78	39	dab(da	dab(da	NOUN
ap-1245	78	40	,	,	PUNCT
ap-1245	78	41	db	db	NOUN
ap-1245	78	42	)	)	PUNCT
ap-1245	78	43	)	)	PUNCT
ap-1245	78	44	is	be	AUX
ap-1245	78	45	evidently	evidently	ADV
ap-1245	78	46	highly	highly	ADV
ap-1245	78	47	complex	complex	ADJ
ap-1245	78	48	.	.	PUNCT
ap-1245	79	1	an	an	DET
ap-1245	79	2	alternative	alternative	ADJ
ap-1245	79	3	approach	approach	NOUN
ap-1245	79	4	based	base	VERB
ap-1245	79	5	on	on	ADP
ap-1245	79	6	layered	layered	ADJ
ap-1245	79	7	hxc	hxc	PROPN
ap-1245	79	8	design	design	NOUN
ap-1245	79	9	is	be	AUX
ap-1245	79	10	presented	present	VERB
ap-1245	79	11	in	in	ADP
ap-1245	79	12	[	[	X
ap-1245	79	13	2	2	NUM
ap-1245	79	14	,	,	PUNCT
ap-1245	79	15	3	3	NUM
ap-1245	79	16	]	]	PUNCT
ap-1245	79	17	.	.	PUNCT
ap-1245	80	1	layered	layer	VERB
ap-1245	80	2	hxc	hxc	PROPN
ap-1245	80	3	(	(	PUNCT
ap-1245	80	4	fig	fig	NOUN
ap-1245	80	5	.	.	PUNCT
ap-1245	80	6	2	2	X
ap-1245	80	7	)	)	PUNCT
ap-1245	80	8	consists	consist	VERB
ap-1245	80	9	of	of	ADP
ap-1245	80	10	the	the	DET
ap-1245	80	11	outer	outer	ADJ
ap-1245	80	12	layer	layer	NOUN
ap-1245	80	13	(	(	PUNCT
ap-1245	80	14	error	error	NOUN
ap-1245	80	15	correcting	correcting	NOUN
ap-1245	80	16	)	)	PUNCT
ap-1245	80	17	code	code	NOUN
ap-1245	80	18	and	and	CCONJ
ap-1245	80	19	the	the	DET
ap-1245	80	20	inner	inner	ADJ
ap-1245	80	21	layer	layer	NOUN
ap-1245	80	22	(	(	PUNCT
ap-1245	80	23	closer	close	ADJ
ap-1245	80	24	to	to	ADP
ap-1245	80	25	the	the	DET
ap-1245	80	26	channel	channel	NOUN
ap-1245	80	27	symbols	symbol	NOUN
ap-1245	80	28	)	)	PUNCT
ap-1245	80	29	,	,	PUNCT
ap-1245	80	30	which	which	PRON
ap-1245	80	31	provides	provide	VERB
ap-1245	80	32	the	the	DET
ap-1245	80	33	exclusive	exclusive	ADJ
ap-1245	80	34	property	property	NOUN
ap-1245	80	35	of	of	ADP
ap-1245	80	36	the	the	DET
ap-1245	80	37	hierarchical	hierarchical	ADJ
ap-1245	80	38	symbols	symbol	NOUN
ap-1245	80	39	.	.	PUNCT
ap-1245	81	1	the	the	DET
ap-1245	81	2	outer	outer	ADJ
ap-1245	81	3	layer	layer	NOUN
ap-1245	81	4	code	code	NOUN
ap-1245	81	5	can	can	AUX
ap-1245	81	6	be	be	AUX
ap-1245	81	7	an	an	DET
ap-1245	81	8	arbitrary	arbitrary	ADJ
ap-1245	81	9	state	state	NOUN
ap-1245	81	10	-	-	PUNCT
ap-1245	81	11	of	of	ADP
ap-1245	81	12	-	-	PUNCT
ap-1245	81	13	the	the	DET
ap-1245	81	14	-	-	PUNCT
ap-1245	81	15	art	art	NOUN
ap-1245	81	16	capacity	capacity	NOUN
ap-1245	81	17	achieving	achieve	VERB
ap-1245	81	18	code	code	NOUN
ap-1245	81	19	(	(	PUNCT
ap-1245	81	20	e.g.	e.g.	ADV
ap-1245	81	21	turbo	turbo	NOUN
ap-1245	81	22	code	code	NOUN
ap-1245	81	23	or	or	CCONJ
ap-1245	81	24	ldpc	ldpc	NOUN
ap-1245	81	25	)	)	PUNCT
ap-1245	81	26	,	,	PUNCT
ap-1245	81	27	and	and	CCONJ
ap-1245	81	28	the	the	DET
ap-1245	81	29	inner	inner	ADJ
ap-1245	81	30	layer	layer	NOUN
ap-1245	81	31	can	can	AUX
ap-1245	81	32	be	be	AUX
ap-1245	81	33	designed	design	VERB
ap-1245	81	34	(	(	PUNCT
ap-1245	81	35	in	in	ADP
ap-1245	81	36	the	the	DET
ap-1245	81	37	simplest	simple	ADJ
ap-1245	81	38	case	case	NOUN
ap-1245	81	39	)	)	PUNCT
ap-1245	81	40	as	as	ADP
ap-1245	81	41	a	a	DET
ap-1245	81	42	simple	simple	ADJ
ap-1245	81	43	signal	signal	NOUN
ap-1245	81	44	space	space	NOUN
ap-1245	81	45	channel	channel	NOUN
ap-1245	81	46	symbol	symbol	PROPN
ap-1245	81	47	memoryless	memoryless	PROPN
ap-1245	81	48	mapper	mapper	PROPN
ap-1245	81	49	.	.	PUNCT
ap-1245	82	1	an	an	DET
ap-1245	82	2	alphabet	alphabet	PROPN
ap-1245	82	3	memoryless	memoryless	PROPN
ap-1245	82	4	mapper	mapper	PROPN
ap-1245	82	5	cab	cab	PROPN
ap-1245	82	6	=	=	PROPN
ap-1245	82	7	xc(ca	xc(ca	PROPN
ap-1245	82	8	,	,	PUNCT
ap-1245	82	9	cb	cb	PROPN
ap-1245	82	10	)	)	PUNCT
ap-1245	82	11	(	(	PUNCT
ap-1245	82	12	6	6	X
ap-1245	82	13	)	)	PUNCT
ap-1245	82	14	fulfilling	fulfil	VERB
ap-1245	82	15	the	the	DET
ap-1245	82	16	exclusive	exclusive	ADJ
ap-1245	82	17	law	law	NOUN
ap-1245	82	18	will	will	AUX
ap-1245	82	19	be	be	AUX
ap-1245	82	20	called	call	VERB
ap-1245	82	21	a	a	DET
ap-1245	82	22	hierarchical	hierarchical	ADJ
ap-1245	82	23	exclusive	exclusive	ADJ
ap-1245	82	24	alphabet	alphabet	NOUN
ap-1245	82	25	(	(	PUNCT
ap-1245	82	26	hxa	hxa	PROPN
ap-1245	82	27	)	)	PUNCT
ap-1245	82	28	.	.	PUNCT
ap-1245	83	1	the	the	DET
ap-1245	83	2	entire	entire	ADJ
ap-1245	83	3	model	model	NOUN
ap-1245	83	4	of	of	ADP
ap-1245	83	5	the	the	DET
ap-1245	83	6	layered	layered	ADJ
ap-1245	83	7	system	system	NOUN
ap-1245	83	8	can	can	AUX
ap-1245	83	9	be	be	AUX
ap-1245	83	10	found	find	VERB
ap-1245	83	11	e.g.	e.g.	ADV
ap-1245	83	12	in	in	ADP
ap-1245	83	13	[	[	X
ap-1245	83	14	3	3	NUM
ap-1245	83	15	]	]	PUNCT
ap-1245	83	16	.	.	PUNCT
ap-1245	84	1	fig	fig	NOUN
ap-1245	84	2	.	.	PUNCT
ap-1245	85	1	2	2	NUM
ap-1245	85	2	:	:	PUNCT
ap-1245	85	3	layered	layered	ADJ
ap-1245	85	4	hierarchical	hierarchical	ADJ
ap-1245	85	5	exclusive	exclusive	ADJ
ap-1245	85	6	code	code	NOUN
ap-1245	85	7	theorems	theorem	NOUN
ap-1245	85	8	in	in	ADP
ap-1245	85	9	[	[	X
ap-1245	85	10	2	2	NUM
ap-1245	85	11	]	]	PUNCT
ap-1245	85	12	show	show	VERB
ap-1245	85	13	the	the	DET
ap-1245	85	14	viability	viability	NOUN
ap-1245	85	15	of	of	ADP
ap-1245	85	16	the	the	DET
ap-1245	85	17	layered	layered	ADJ
ap-1245	85	18	approach	approach	NOUN
ap-1245	85	19	to	to	ADP
ap-1245	85	20	hxc	hxc	PROPN
ap-1245	85	21	design	design	NOUN
ap-1245	85	22	.	.	PUNCT
ap-1245	86	1	the	the	DET
ap-1245	86	2	capacity	capacity	NOUN
ap-1245	86	3	is	be	AUX
ap-1245	86	4	alphabet	alphabet	ADV
ap-1245	86	5	constrained	constrain	VERB
ap-1245	86	6	by	by	ADP
ap-1245	86	7	hierarchical	hierarchical	ADJ
ap-1245	86	8	-	-	PUNCT
ap-1245	86	9	mac	mac	NOUN
ap-1245	86	10	(	(	PUNCT
ap-1245	86	11	h	h	NOUN
ap-1245	86	12	-	-	PUNCT
ap-1245	86	13	mac	mac	NOUN
ap-1245	86	14	)	)	PUNCT
ap-1245	86	15	channel	channel	NOUN
ap-1245	86	16	hierarchical	hierarchical	ADJ
ap-1245	86	17	symbols	symbol	NOUN
ap-1245	86	18	and	and	CCONJ
ap-1245	86	19	is	be	AUX
ap-1245	86	20	achievable	achievable	ADJ
ap-1245	86	21	by	by	ADP
ap-1245	86	22	the	the	DET
ap-1245	86	23	outer	outer	ADJ
ap-1245	86	24	standard	standard	ADJ
ap-1245	86	25	channel	channel	NOUN
ap-1245	86	26	code	code	NOUN
ap-1245	86	27	ca	ca	NOUN
ap-1245	86	28	=	=	SYM
ap-1245	86	29	cb	cb	PROPN
ap-1245	86	30	=	=	SYM
ap-1245	86	31	c	c	PROPN
ap-1245	86	32	combined	combine	VERB
ap-1245	86	33	with	with	ADP
ap-1245	86	34	inner	inner	ADJ
ap-1245	86	35	symbol	symbol	NOUN
ap-1245	86	36	-	-	PUNCT
ap-1245	86	37	wise	wise	ADJ
ap-1245	86	38	hxa	hxa	ADJ
ap-1245	86	39	as	as	ADP
ap-1245	86	40	.	.	PUNCT
ap-1245	87	1	the	the	DET
ap-1245	87	2	h	h	NOUN
ap-1245	87	3	-	-	PUNCT
ap-1245	87	4	mac	mac	PROPN
ap-1245	87	5	rate	rate	NOUN
ap-1245	87	6	region	region	NOUN
ap-1245	87	7	has	have	VERB
ap-1245	87	8	a	a	DET
ap-1245	87	9	rectangular	rectangular	ADJ
ap-1245	87	10	shape	shape	NOUN
ap-1245	87	11	ra	ra	PROPN
ap-1245	87	12	=	=	NOUN
ap-1245	87	13	rb	rb	PROPN
ap-1245	87	14	=	=	SYM
ap-1245	87	15	rab	rab	PROPN
ap-1245	87	16	≤	≤	PROPN
ap-1245	87	17	i(cab;x	i(cab;x	NOUN
ap-1245	87	18	)	)	PUNCT
ap-1245	87	19	.	.	PUNCT
ap-1245	88	1	(	(	PUNCT
ap-1245	88	2	7	7	X
ap-1245	88	3	)	)	PUNCT
ap-1245	88	4	the	the	DET
ap-1245	88	5	exclusive	exclusive	ADJ
ap-1245	88	6	property	property	NOUN
ap-1245	88	7	at	at	ADP
ap-1245	88	8	the	the	DET
ap-1245	88	9	symbol	symbol	NOUN
ap-1245	88	10	level	level	NOUN
ap-1245	88	11	allows	allow	VERB
ap-1245	88	12	simple	simple	ADJ
ap-1245	88	13	determination	determination	NOUN
ap-1245	88	14	of	of	ADP
ap-1245	88	15	the	the	DET
ap-1245	88	16	soft	soft	ADJ
ap-1245	88	17	per	per	ADP
ap-1245	88	18	-	-	PUNCT
ap-1245	88	19	symbol	symbol	NOUN
ap-1245	88	20	measure	measure	NOUN
ap-1245	88	21	decoding	decode	VERB
ap-1245	88	22	metric	metric	ADJ
ap-1245	88	23	for	for	ADP
ap-1245	88	24	hierarchical	hierarchical	ADJ
ap-1245	88	25	symbols	symbol	NOUN
ap-1245	88	26	at	at	ADP
ap-1245	88	27	the	the	DET
ap-1245	88	28	relay	relay	NOUN
ap-1245	88	29	.	.	PUNCT
ap-1245	89	1	it	it	PRON
ap-1245	89	2	can	can	AUX
ap-1245	89	3	either	either	CCONJ
ap-1245	89	4	be	be	AUX
ap-1245	89	5	directly	directly	ADV
ap-1245	89	6	used	use	VERB
ap-1245	89	7	by	by	ADP
ap-1245	89	8	the	the	DET
ap-1245	89	9	full	full	ADJ
ap-1245	89	10	hierarchical	hierarchical	ADJ
ap-1245	89	11	relay	relay	NOUN
ap-1245	89	12	decoder	decoder	NOUN
ap-1245	89	13	or	or	CCONJ
ap-1245	89	14	properly	properly	ADV
ap-1245	89	15	source	source	NOUN
ap-1245	89	16	encoded	encode	VERB
ap-1245	89	17	and	and	CCONJ
ap-1245	89	18	sent	send	VERB
ap-1245	89	19	on	on	ADP
ap-1245	89	20	a	a	DET
ap-1245	89	21	per	per	ADP
ap-1245	89	22	-	-	PUNCT
ap-1245	89	23	symbol	symbol	NOUN
ap-1245	89	24	basis	basis	NOUN
ap-1245	89	25	without	without	ADP
ap-1245	89	26	decoding	decode	VERB
ap-1245	89	27	.	.	PUNCT
ap-1245	89	28	4	4	NUM
ap-1245	89	29	parameter	parameter	NOUN
ap-1245	89	30	-	-	PUNCT
ap-1245	89	31	invariant	invariant	ADJ
ap-1245	89	32	hxa	hxa	NOUN
ap-1245	89	33	the	the	DET
ap-1245	89	34	complexity	complexity	NOUN
ap-1245	89	35	of	of	ADP
ap-1245	89	36	the	the	DET
ap-1245	89	37	proper	proper	ADJ
ap-1245	89	38	hxa	hxa	ADJ
ap-1245	89	39	design	design	NOUN
ap-1245	89	40	increases	increase	NOUN
ap-1245	89	41	in	in	ADP
ap-1245	89	42	the	the	DET
ap-1245	89	43	case	case	NOUN
ap-1245	89	44	of	of	ADP
ap-1245	89	45	layered	layer	VERB
ap-1245	89	46	hxc	hxc	PROPN
ap-1245	89	47	design	design	NOUN
ap-1245	89	48	for	for	ADP
ap-1245	89	49	a	a	DET
ap-1245	89	50	parametric	parametric	ADJ
ap-1245	89	51	channel	channel	NOUN
ap-1245	89	52	.	.	PUNCT
ap-1245	90	1	some	some	DET
ap-1245	90	2	specific	specific	ADJ
ap-1245	90	3	channel	channel	NOUN
ap-1245	90	4	parameter	parameter	NOUN
ap-1245	90	5	values	value	NOUN
ap-1245	90	6	can	can	AUX
ap-1245	90	7	cause	cause	VERB
ap-1245	90	8	the	the	DET
ap-1245	90	9	signal	signal	ADJ
ap-1245	90	10	space	space	NOUN
ap-1245	90	11	points	point	NOUN
ap-1245	90	12	corresponding	correspond	VERB
ap-1245	90	13	to	to	ADP
ap-1245	90	14	different	different	ADJ
ap-1245	90	15	hierarchical	hierarchical	ADJ
ap-1245	90	16	symbols	symbol	NOUN
ap-1245	90	17	to	to	PART
ap-1245	90	18	fall	fall	VERB
ap-1245	90	19	into	into	ADP
ap-1245	90	20	the	the	DET
ap-1245	90	21	same	same	ADJ
ap-1245	90	22	useful	useful	ADJ
ap-1245	90	23	signal	signal	NOUN
ap-1245	90	24	(	(	PUNCT
ap-1245	90	25	1	1	NUM
ap-1245	90	26	)	)	PUNCT
ap-1245	90	27	and	and	CCONJ
ap-1245	90	28	thereby	thereby	ADV
ap-1245	90	29	break	break	VERB
ap-1245	90	30	the	the	DET
ap-1245	90	31	exclusive	exclusive	ADJ
ap-1245	90	32	property	property	NOUN
ap-1245	90	33	,	,	PUNCT
ap-1245	90	34	resulting	result	VERB
ap-1245	90	35	in	in	ADP
ap-1245	90	36	significant	significant	ADJ
ap-1245	90	37	capacity	capacity	NOUN
ap-1245	90	38	degradation	degradation	NOUN
ap-1245	91	1	[	[	X
ap-1245	91	2	3	3	NUM
ap-1245	91	3	]	]	PUNCT
ap-1245	91	4	.	.	PUNCT
ap-1245	92	1	one	one	NUM
ap-1245	92	2	possible	possible	ADJ
ap-1245	92	3	solution	solution	NOUN
ap-1245	92	4	to	to	ADP
ap-1245	92	5	this	this	DET
ap-1245	92	6	inconvenience	inconvenience	NOUN
ap-1245	92	7	is	be	AUX
ap-1245	92	8	to	to	PART
ap-1245	92	9	take	take	VERB
ap-1245	92	10	the	the	DET
ap-1245	92	11	channel	channel	NOUN
ap-1245	92	12	parametrization	parametrization	NOUN
ap-1245	92	13	into	into	ADP
ap-1245	92	14	account	account	NOUN
ap-1245	92	15	inherently	inherently	ADV
ap-1245	92	16	from	from	ADP
ap-1245	92	17	the	the	DET
ap-1245	92	18	beginning	beginning	NOUN
ap-1245	92	19	of	of	ADP
ap-1245	92	20	the	the	DET
ap-1245	92	21	hxa	hxa	ADJ
ap-1245	92	22	design	design	NOUN
ap-1245	92	23	,	,	PUNCT
ap-1245	92	24	e.g.	e.g.	ADV
ap-1245	92	25	by	by	ADP
ap-1245	92	26	forcing	force	VERB
ap-1245	92	27	the	the	DET
ap-1245	92	28	hierarchical	hierarchical	ADJ
ap-1245	92	29	decision	decision	NOUN
ap-1245	92	30	maps	map	NOUN
ap-1245	92	31	(	(	PUNCT
ap-1245	92	32	hdm	hdm	PROPN
ap-1245	92	33	)	)	PUNCT
ap-1245	92	34	at	at	ADP
ap-1245	92	35	the	the	DET
ap-1245	92	36	relay	relay	NOUN
ap-1245	92	37	to	to	PART
ap-1245	92	38	be	be	AUX
ap-1245	92	39	invariant	invariant	ADJ
ap-1245	92	40	to	to	PART
ap-1245	92	41	channel	channel	VERB
ap-1245	92	42	parameter	parameter	NOUN
ap-1245	92	43	α	α	NOUN
ap-1245	92	44	:	:	PUNCT
ap-1245	92	45	xs(α)(sa	xs(α)(sa	PROPN
ap-1245	92	46	,	,	PUNCT
ap-1245	92	47	sb	sb	X
ap-1245	92	48	)	)	PUNCT
ap-1245	93	1	=	=	SYM
ap-1245	93	2	xs(sa	xs(sa	PROPN
ap-1245	93	3	,	,	PUNCT
ap-1245	93	4	sb	sb	PROPN
ap-1245	93	5	)	)	PUNCT
ap-1245	93	6	,	,	PUNCT
ap-1245	93	7	∀α	∀α	NOUN
ap-1245	93	8	(	(	PUNCT
ap-1245	93	9	8)	8)	NUM
ap-1245	93	10	hxas	hxas	NOUN
ap-1245	93	11	that	that	PRON
ap-1245	93	12	have	have	VERB
ap-1245	93	13	the	the	DET
ap-1245	93	14	hdm	hdm	PROPN
ap-1245	93	15	invariant	invariant	ADJ
ap-1245	93	16	to	to	PART
ap-1245	93	17	channel	channel	NOUN
ap-1245	93	18	parametrization	parametrization	NOUN
ap-1245	93	19	will	will	AUX
ap-1245	93	20	be	be	AUX
ap-1245	93	21	called	call	VERB
ap-1245	93	22	parameter	parameter	NOUN
ap-1245	93	23	-	-	PUNCT
ap-1245	93	24	invariant	invariant	ADJ
ap-1245	93	25	hxas	hxas	NOUN
ap-1245	93	26	(	(	PUNCT
ap-1245	93	27	pi	pi	NOUN
ap-1245	93	28	-	-	PUNCT
ap-1245	93	29	hxa	hxa	ADJ
ap-1245	93	30	)	)	PUNCT
ap-1245	93	31	.	.	PUNCT
ap-1245	94	1	4.1	4.1	NUM
ap-1245	94	2	e	e	NOUN
ap-1245	94	3	-	-	NOUN
ap-1245	94	4	phxc	phxc	NOUN
ap-1245	94	5	design	design	NOUN
ap-1245	94	6	criteria	criterion	NOUN
ap-1245	94	7	a	a	DET
ap-1245	94	8	first	first	ADJ
ap-1245	94	9	attempt	attempt	NOUN
ap-1245	94	10	to	to	PART
ap-1245	94	11	design	design	VERB
ap-1245	94	12	the	the	DET
ap-1245	94	13	pi	pi	NOUN
ap-1245	94	14	-	-	PUNCT
ap-1245	94	15	hxa	hxa	NOUN
ap-1245	94	16	for	for	ADP
ap-1245	94	17	the	the	DET
ap-1245	94	18	layered	layer	VERB
ap-1245	94	19	hxc	hxc	PROPN
ap-1245	94	20	in	in	ADP
ap-1245	94	21	2	2	NUM
ap-1245	94	22	-	-	PUNCT
ap-1245	94	23	wrc	wrc	NOUN
ap-1245	94	24	was	be	AUX
ap-1245	94	25	given	give	VERB
ap-1245	94	26	by	by	ADP
ap-1245	94	27	the	the	DET
ap-1245	94	28	extended	extended	ADJ
ap-1245	94	29	parametric	parametric	NOUN
ap-1245	94	30	hxc	hxc	PROPN
ap-1245	94	31	(	(	PUNCT
ap-1245	94	32	e	e	NOUN
ap-1245	94	33	-	-	NOUN
ap-1245	94	34	phxc	phxc	ADJ
ap-1245	94	35	)	)	PUNCT
ap-1245	94	36	design	design	NOUN
ap-1245	94	37	criteria	criterion	NOUN
ap-1245	94	38	[	[	X
ap-1245	94	39	11	11	NUM
ap-1245	94	40	]	]	PUNCT
ap-1245	94	41	.	.	PUNCT
ap-1245	95	1	these	these	DET
ap-1245	95	2	criteria	criterion	NOUN
ap-1245	95	3	utilize	utilize	VERB
ap-1245	95	4	the	the	DET
ap-1245	95	5	criterion	criterion	NOUN
ap-1245	95	6	for	for	ADP
ap-1245	95	7	the	the	DET
ap-1245	95	8	α	α	NOUN
ap-1245	95	9	-	-	PUNCT
ap-1245	95	10	invariant	invariant	ADJ
ap-1245	95	11	hierarchical	hierarchical	ADJ
ap-1245	95	12	decision	decision	NOUN
ap-1245	95	13	region	region	NOUN
ap-1245	95	14	pairwise	pairwise	PROPN
ap-1245	95	15	boundary	boundary	PROPN
ap-1245	95	16	rkl	rkl	PROPN
ap-1245	95	17	(	(	PUNCT
ap-1245	95	18	i.e.	i.e.	X
ap-1245	95	19	the	the	DET
ap-1245	95	20	decision	decision	NOUN
ap-1245	95	21	region	region	NOUN
ap-1245	95	22	boundary	boundary	ADJ
ap-1245	95	23	between	between	ADP
ap-1245	95	24	the	the	DET
ap-1245	95	25	useful	useful	ADJ
ap-1245	95	26	signal	signal	NOUN
ap-1245	95	27	pair	pair	NOUN
ap-1245	95	28	uk(ia	uk(ia	PROPN
ap-1245	95	29	,	,	PUNCT
ap-1245	95	30	ib	ib	NOUN
ap-1245	95	31	)	)	PUNCT
ap-1245	95	32	=	=	SYM
ap-1245	96	1	sia	sia	PROPN
ap-1245	96	2	+	+	CCONJ
ap-1245	96	3	αsib	αsib	PROPN
ap-1245	96	4	and	and	CCONJ
ap-1245	96	5	ul(i′a	ul(i′a	ADV
ap-1245	96	6	,	,	PUNCT
ap-1245	96	7	i′b	i′b	ADJ
ap-1245	96	8	)	)	PUNCT
ap-1245	96	9	=	=	SYM
ap-1245	97	1	si′	si′	VERB
ap-1245	97	2	a	a	DET
ap-1245	97	3	+	+	CCONJ
ap-1245	97	4	αsi′	αsi′	PROPN
ap-1245	97	5	b	b	PROPN
ap-1245	97	6	):	):	PUNCT
ap-1245	97	7	〈	〈	PROPN
ap-1245	97	8	sia	sia	NOUN
ap-1245	97	9	−	−	PROPN
ap-1245	97	10	si′	si′	NOUN
ap-1245	97	11	a	a	PRON
ap-1245	97	12	;	;	PUNCT
ap-1245	97	13	sib	sib	NOUN
ap-1245	97	14	−	−	PROPN
ap-1245	97	15	si′	si′	NOUN
ap-1245	97	16	b	b	X
ap-1245	97	17	〉	〉	NOUN
ap-1245	97	18	=	=	SYM
ap-1245	97	19	0	0	NUM
ap-1245	97	20	,	,	PUNCT
ap-1245	97	21	(	(	PUNCT
ap-1245	97	22	9	9	X
ap-1245	97	23	)	)	PUNCT
ap-1245	97	24	〈	〈	PROPN
ap-1245	97	25	sib	sib	NOUN
ap-1245	97	26	−	−	PROPN
ap-1245	97	27	si′	si′	NOUN
ap-1245	97	28	b	b	NOUN
ap-1245	97	29	;	;	PUNCT
ap-1245	97	30	sib	sib	NOUN
ap-1245	97	31	+	+	CCONJ
ap-1245	97	32	si′	si′	NOUN
ap-1245	97	33	b	b	X
ap-1245	97	34	〉	〉	NOUN
ap-1245	97	35	=	=	SYM
ap-1245	97	36	0	0	NUM
ap-1245	97	37	,	,	PUNCT
ap-1245	97	38	(	(	PUNCT
ap-1245	97	39	10	10	NUM
ap-1245	97	40	)	)	PUNCT
ap-1245	97	41	to	to	PART
ap-1245	97	42	force	force	VERB
ap-1245	97	43	some	some	DET
ap-1245	97	44	subset	subset	NOUN
ap-1245	97	45	of	of	ADP
ap-1245	97	46	the	the	DET
ap-1245	97	47	decision	decision	NOUN
ap-1245	97	48	region	region	NOUN
ap-1245	97	49	boundaries	boundary	NOUN
ap-1245	97	50	to	to	PART
ap-1245	97	51	be	be	AUX
ap-1245	97	52	invariant	invariant	ADJ
ap-1245	97	53	to	to	PART
ap-1245	97	54	channel	channel	VERB
ap-1245	97	55	parametrization	parametrization	NOUN
ap-1245	97	56	(	(	PUNCT
ap-1245	97	57	see	see	VERB
ap-1245	97	58	[	[	X
ap-1245	97	59	13	13	NUM
ap-1245	97	60	]	]	PUNCT
ap-1245	97	61	for	for	ADP
ap-1245	97	62	details	detail	NOUN
ap-1245	97	63	)	)	PUNCT
ap-1245	97	64	.	.	PUNCT
ap-1245	98	1	as	as	SCONJ
ap-1245	98	2	shown	show	VERB
ap-1245	98	3	in	in	ADP
ap-1245	98	4	[	[	X
ap-1245	98	5	12	12	NUM
ap-1245	98	6	]	]	PUNCT
ap-1245	98	7	,	,	PUNCT
ap-1245	98	8	the	the	DET
ap-1245	98	9	e	e	NOUN
ap-1245	98	10	-	-	ADJ
ap-1245	98	11	phxc	phxc	ADJ
ap-1245	98	12	design	design	NOUN
ap-1245	98	13	criteria	criterion	NOUN
ap-1245	98	14	result	result	VERB
ap-1245	98	15	in	in	ADP
ap-1245	98	16	hxas	hxas	NOUN
ap-1245	98	17	which	which	PRON
ap-1245	98	18	have	have	VERB
ap-1245	98	19	all	all	DET
ap-1245	98	20	permissible	permissible	ADJ
ap-1245	98	21	decision	decision	NOUN
ap-1245	98	22	region	region	NOUN
ap-1245	98	23	boundaries	boundary	NOUN
ap-1245	98	24	invariant	invariant	VERB
ap-1245	98	25	to	to	PART
ap-1245	98	26	channel	channel	VERB
ap-1245	98	27	parametrization	parametrization	NOUN
ap-1245	98	28	,	,	PUNCT
ap-1245	98	29	hence	hence	ADV
ap-1245	98	30	the	the	DET
ap-1245	98	31	condition	condition	NOUN
ap-1245	98	32	for	for	ADP
ap-1245	98	33	a	a	DET
ap-1245	98	34	parameter	parameter	NOUN
ap-1245	98	35	invariant	invariant	PROPN
ap-1245	98	36	hdm	hdm	PROPN
ap-1245	98	37	is	be	AUX
ap-1245	98	38	naturally	naturally	ADV
ap-1245	98	39	satisfied	satisfied	ADJ
ap-1245	98	40	.	.	PUNCT
ap-1245	99	1	although	although	SCONJ
ap-1245	99	2	the	the	DET
ap-1245	99	3	e	e	NOUN
ap-1245	99	4	-	-	NOUN
ap-1245	99	5	phxc	phxc	ADJ
ap-1245	99	6	design	design	NOUN
ap-1245	99	7	criteria	criterion	NOUN
ap-1245	99	8	provide	provide	VERB
ap-1245	99	9	a	a	DET
ap-1245	99	10	feasible	feasible	ADJ
ap-1245	99	11	way	way	NOUN
ap-1245	99	12	to	to	PART
ap-1245	99	13	design	design	VERB
ap-1245	99	14	the	the	DET
ap-1245	99	15	hxa	hxa	NOUN
ap-1245	99	16	with	with	ADP
ap-1245	99	17	parameter	parameter	NOUN
ap-1245	99	18	invariant	invariant	PROPN
ap-1245	99	19	hdm	hdm	PROPN
ap-1245	99	20	,	,	PUNCT
ap-1245	99	21	the	the	DET
ap-1245	99	22	resulting	result	VERB
ap-1245	99	23	pi	pi	NOUN
ap-1245	99	24	-	-	PUNCT
ap-1245	99	25	hxa	hxa	NOUN
ap-1245	99	26	has	have	VERB
ap-1245	99	27	a	a	DET
ap-1245	99	28	number	number	NOUN
ap-1245	99	29	of	of	ADP
ap-1245	99	30	drawbacks	drawback	NOUN
ap-1245	99	31	and	and	CCONJ
ap-1245	99	32	only	only	ADV
ap-1245	99	33	limited	limited	ADJ
ap-1245	99	34	performance	performance	NOUN
ap-1245	99	35	(	(	PUNCT
ap-1245	99	36	see	see	VERB
ap-1245	99	37	[	[	X
ap-1245	99	38	12	12	NUM
ap-1245	99	39	]	]	PUNCT
ap-1245	99	40	for	for	ADP
ap-1245	99	41	details	detail	NOUN
ap-1245	99	42	)	)	PUNCT
ap-1245	99	43	.	.	PUNCT
ap-1245	100	1	the	the	DET
ap-1245	100	2	strictness	strictness	NOUN
ap-1245	100	3	of	of	ADP
ap-1245	100	4	the	the	DET
ap-1245	100	5	e	e	NOUN
ap-1245	100	6	-	-	NOUN
ap-1245	100	7	phxc	phxc	ADJ
ap-1245	100	8	design	design	NOUN
ap-1245	100	9	criteria	criterion	NOUN
ap-1245	100	10	forces	force	NOUN
ap-1245	100	11	sources	source	NOUN
ap-1245	100	12	(	(	PUNCT
ap-1245	100	13	a	a	DET
ap-1245	100	14	,	,	PUNCT
ap-1245	100	15	b	b	NOUN
ap-1245	100	16	)	)	PUNCT
ap-1245	100	17	to	to	PART
ap-1245	100	18	use	use	VERB
ap-1245	100	19	different	different	ADJ
ap-1245	100	20	channel	channel	NOUN
ap-1245	100	21	symbol	symbol	NOUN
ap-1245	100	22	mappers	mapper	NOUN
ap-1245	100	23	(	(	PUNCT
ap-1245	100	24	aa(•	aa(•	NOUN
ap-1245	100	25	)	)	PUNCT
ap-1245	100	26	and	and	CCONJ
ap-1245	100	27	ab(•	ab(•	NOUN
ap-1245	100	28	)	)	PUNCT
ap-1245	100	29	)	)	PUNCT
ap-1245	100	30	and	and	CCONJ
ap-1245	100	31	the	the	DET
ap-1245	100	32	solution	solution	NOUN
ap-1245	100	33	leads	lead	VERB
ap-1245	100	34	to	to	ADP
ap-1245	100	35	mutually	mutually	ADV
ap-1245	100	36	orthogonal	orthogonal	ADJ
ap-1245	100	37	alphabets	alphabet	NOUN
ap-1245	100	38	or	or	CCONJ
ap-1245	100	39	alphabets	alphabet	NOUN
ap-1245	100	40	with	with	ADP
ap-1245	100	41	nonzero	nonzero	PROPN
ap-1245	100	42	mean	mean	ADJ
ap-1245	100	43	and	and	CCONJ
ap-1245	100	44	non	non	ADJ
ap-1245	100	45	-	-	ADJ
ap-1245	100	46	equal	equal	ADJ
ap-1245	100	47	distance	distance	NOUN
ap-1245	100	48	(	(	PUNCT
ap-1245	100	49	which	which	PRON
ap-1245	100	50	is	be	AUX
ap-1245	100	51	apparently	apparently	ADV
ap-1245	100	52	81	81	NUM
ap-1245	100	53	acta	acta	PROPN
ap-1245	100	54	polytechnica	polytechnica	PROPN
ap-1245	100	55	vol	vol	NOUN
ap-1245	100	56	.	.	PROPN
ap-1245	101	1	50	50	NUM
ap-1245	101	2	no	no	NOUN
ap-1245	101	3	.	.	PUNCT
ap-1245	102	1	4/2010	4/2010	NUM
ap-1245	102	2	not	not	PART
ap-1245	102	3	optimal	optimal	ADJ
ap-1245	102	4	)	)	PUNCT
ap-1245	102	5	.	.	PUNCT
ap-1245	103	1	the	the	DET
ap-1245	103	2	solution	solution	NOUN
ap-1245	103	3	with	with	ADP
ap-1245	103	4	mutually	mutually	ADV
ap-1245	103	5	orthogonal	orthogonal	ADJ
ap-1245	103	6	alphabets	alphabet	NOUN
ap-1245	103	7	has	have	VERB
ap-1245	103	8	the	the	DET
ap-1245	103	9	mac	mac	PROPN
ap-1245	103	10	capacity	capacity	NOUN
ap-1245	103	11	region	region	NOUN
ap-1245	103	12	equivalent	equivalent	ADJ
ap-1245	103	13	to	to	ADP
ap-1245	103	14	the	the	DET
ap-1245	103	15	classical	classical	ADJ
ap-1245	103	16	-	-	PUNCT
ap-1245	103	17	mac	mac	NOUN
ap-1245	103	18	decoding	decode	VERB
ap-1245	103	19	[	[	X
ap-1245	103	20	12	12	NUM
ap-1245	103	21	]	]	PUNCT
ap-1245	103	22	.	.	PUNCT
ap-1245	104	1	4.2	4.2	NUM
ap-1245	104	2	generalized	generalized	ADJ
ap-1245	104	3	approach	approach	NOUN
ap-1245	104	4	to	to	ADP
ap-1245	104	5	the	the	DET
ap-1245	104	6	design	design	NOUN
ap-1245	104	7	the	the	DET
ap-1245	104	8	strictness	strictness	NOUN
ap-1245	104	9	of	of	ADP
ap-1245	104	10	the	the	DET
ap-1245	104	11	e	e	NOUN
ap-1245	104	12	-	-	NOUN
ap-1245	104	13	phxc	phxc	ADJ
ap-1245	104	14	design	design	NOUN
ap-1245	104	15	criteria	criterion	NOUN
ap-1245	104	16	(	(	PUNCT
ap-1245	104	17	which	which	PRON
ap-1245	104	18	in	in	ADP
ap-1245	104	19	turn	turn	NOUN
ap-1245	104	20	causes	cause	VERB
ap-1245	104	21	only	only	ADV
ap-1245	104	22	the	the	DET
ap-1245	104	23	orthogonal	orthogonal	ADJ
ap-1245	104	24	solution	solution	NOUN
ap-1245	104	25	to	to	ADP
ap-1245	104	26	pi	pi	NOUN
ap-1245	104	27	-	-	PUNCT
ap-1245	104	28	hxa	hxa	NOUN
ap-1245	104	29	design	design	NOUN
ap-1245	104	30	to	to	PART
ap-1245	104	31	be	be	AUX
ap-1245	104	32	feasible	feasible	ADJ
ap-1245	104	33	)	)	PUNCT
ap-1245	104	34	is	be	AUX
ap-1245	104	35	due	due	ADJ
ap-1245	104	36	to	to	ADP
ap-1245	104	37	the	the	DET
ap-1245	104	38	fact	fact	NOUN
ap-1245	104	39	that	that	SCONJ
ap-1245	104	40	all	all	DET
ap-1245	104	41	permissible	permissible	ADJ
ap-1245	104	42	pairwise	pairwise	NOUN
ap-1245	104	43	boundaries	boundary	NOUN
ap-1245	104	44	are	be	AUX
ap-1245	104	45	forced	force	VERB
ap-1245	104	46	to	to	PART
ap-1245	104	47	be	be	AUX
ap-1245	104	48	parameter	parameter	NOUN
ap-1245	104	49	invariant	invariant	ADJ
ap-1245	104	50	.	.	PUNCT
ap-1245	105	1	this	this	PRON
ap-1245	105	2	is	be	AUX
ap-1245	105	3	obviously	obviously	ADV
ap-1245	105	4	not	not	PART
ap-1245	105	5	necessary	necessary	ADJ
ap-1245	105	6	since	since	SCONJ
ap-1245	105	7	some	some	DET
ap-1245	105	8	decision	decision	NOUN
ap-1245	105	9	region	region	NOUN
ap-1245	105	10	boundaries	boundary	NOUN
ap-1245	105	11	can	can	AUX
ap-1245	105	12	be	be	AUX
ap-1245	105	13	“	"	PUNCT
ap-1245	105	14	overlaid	overlay	VERB
ap-1245	105	15	”	"	PUNCT
ap-1245	105	16	by	by	ADP
ap-1245	105	17	other	other	ADJ
ap-1245	105	18	boundaries	boundary	NOUN
ap-1245	105	19	or	or	CCONJ
ap-1245	105	20	remain	remain	VERB
ap-1245	105	21	somehow	somehow	ADV
ap-1245	105	22	“	"	PUNCT
ap-1245	105	23	hidden	hide	VERB
ap-1245	105	24	”	"	PUNCT
ap-1245	105	25	inside	inside	ADP
ap-1245	105	26	the	the	DET
ap-1245	105	27	hierarchical	hierarchical	ADJ
ap-1245	105	28	decision	decision	NOUN
ap-1245	105	29	region	region	NOUN
ap-1245	105	30	.	.	PUNCT
ap-1245	106	1	in	in	ADP
ap-1245	106	2	such	such	ADJ
ap-1245	106	3	cases	case	NOUN
ap-1245	106	4	,	,	PUNCT
ap-1245	106	5	the	the	DET
ap-1245	106	6	resulting	result	VERB
ap-1245	106	7	final	final	ADJ
ap-1245	106	8	shape	shape	NOUN
ap-1245	106	9	of	of	ADP
ap-1245	106	10	the	the	DET
ap-1245	106	11	hdm	hdm	PROPN
ap-1245	106	12	will	will	AUX
ap-1245	106	13	remain	remain	VERB
ap-1245	106	14	unaffected	unaffected	ADJ
ap-1245	106	15	by	by	ADP
ap-1245	106	16	these	these	DET
ap-1245	106	17	boundaries	boundary	NOUN
ap-1245	106	18	.	.	PUNCT
ap-1245	107	1	hence	hence	ADV
ap-1245	107	2	these	these	DET
ap-1245	107	3	boundaries	boundary	NOUN
ap-1245	107	4	do	do	AUX
ap-1245	107	5	not	not	PART
ap-1245	107	6	have	have	VERB
ap-1245	107	7	to	to	PART
ap-1245	107	8	be	be	AUX
ap-1245	107	9	considered	consider	VERB
ap-1245	107	10	by	by	ADP
ap-1245	107	11	the	the	DET
ap-1245	107	12	pi	pi	NOUN
ap-1245	107	13	-	-	PUNCT
ap-1245	107	14	hxa	hxa	NOUN
ap-1245	107	15	design	design	NOUN
ap-1245	107	16	criteria	criterion	NOUN
ap-1245	107	17	.	.	PUNCT
ap-1245	108	1	this	this	DET
ap-1245	108	2	approach	approach	NOUN
ap-1245	108	3	to	to	ADP
ap-1245	108	4	pi	pi	NOUN
ap-1245	108	5	-	-	PUNCT
ap-1245	108	6	hxa	hxa	NOUN
ap-1245	108	7	design	design	NOUN
ap-1245	108	8	should	should	AUX
ap-1245	108	9	relax	relax	VERB
ap-1245	108	10	the	the	DET
ap-1245	108	11	strictness	strictness	NOUN
ap-1245	108	12	of	of	ADP
ap-1245	108	13	the	the	DET
ap-1245	108	14	design	design	NOUN
ap-1245	108	15	criteria	criterion	NOUN
ap-1245	108	16	(	(	PUNCT
ap-1245	108	17	compared	compare	VERB
ap-1245	108	18	to	to	ADP
ap-1245	108	19	e	e	NOUN
ap-1245	108	20	-	-	NOUN
ap-1245	108	21	phxc	phxc	X
ap-1245	108	22	)	)	PUNCT
ap-1245	108	23	and	and	CCONJ
ap-1245	108	24	hence	hence	ADV
ap-1245	108	25	non	non	ADJ
ap-1245	108	26	-	-	ADJ
ap-1245	108	27	orthogonal	orthogonal	ADJ
ap-1245	108	28	pi	pi	NOUN
ap-1245	108	29	-	-	PUNCT
ap-1245	108	30	hxas	hxas	NOUN
ap-1245	108	31	with	with	ADP
ap-1245	108	32	the	the	DET
ap-1245	108	33	rate	rate	NOUN
ap-1245	108	34	region	region	NOUN
ap-1245	108	35	extending	extend	VERB
ap-1245	108	36	the	the	DET
ap-1245	108	37	classical	classical	ADJ
ap-1245	108	38	mac	mac	NOUN
ap-1245	108	39	region	region	NOUN
ap-1245	108	40	can	can	AUX
ap-1245	108	41	possibly	possibly	ADV
ap-1245	108	42	be	be	AUX
ap-1245	108	43	found	find	VERB
ap-1245	108	44	.	.	PUNCT
ap-1245	109	1	a	a	DET
ap-1245	109	2	comparison	comparison	NOUN
ap-1245	109	3	of	of	ADP
ap-1245	109	4	this	this	DET
ap-1245	109	5	“	"	PUNCT
ap-1245	109	6	generalized	generalized	ADJ
ap-1245	109	7	”	"	PUNCT
ap-1245	109	8	design	design	NOUN
ap-1245	109	9	approach	approach	NOUN
ap-1245	109	10	with	with	ADP
ap-1245	109	11	e	e	NOUN
ap-1245	109	12	-	-	NOUN
ap-1245	109	13	phxc	phxc	NOUN
ap-1245	109	14	based	base	VERB
ap-1245	109	15	design	design	NOUN
ap-1245	109	16	is	be	AUX
ap-1245	109	17	shown	show	VERB
ap-1245	109	18	in	in	ADP
ap-1245	109	19	fig	fig	NOUN
ap-1245	109	20	.	.	PUNCT
ap-1245	110	1	3	3	NUM
ap-1245	110	2	.	.	NOUN
ap-1245	110	3	5	5	NUM
ap-1245	110	4	pi	pi	NOUN
ap-1245	110	5	-	-	PUNCT
ap-1245	110	6	hxa	hxa	NOUN
ap-1245	110	7	design	design	NOUN
ap-1245	110	8	5.1	5.1	NUM
ap-1245	110	9	principles	principle	NOUN
ap-1245	110	10	of	of	ADP
ap-1245	110	11	geometrical	geometrical	ADJ
ap-1245	110	12	design	design	NOUN
ap-1245	110	13	the	the	DET
ap-1245	110	14	derivation	derivation	NOUN
ap-1245	110	15	of	of	ADP
ap-1245	110	16	the	the	DET
ap-1245	110	17	systematic	systematic	ADJ
ap-1245	110	18	design	design	NOUN
ap-1245	110	19	criteria	criterion	NOUN
ap-1245	110	20	(	(	PUNCT
ap-1245	110	21	design	design	NOUN
ap-1245	110	22	algorithm	algorithm	NOUN
ap-1245	110	23	)	)	PUNCT
ap-1245	110	24	for	for	ADP
ap-1245	110	25	pi	pi	NOUN
ap-1245	110	26	-	-	PUNCT
ap-1245	110	27	hxa	hxa	NOUN
ap-1245	110	28	is	be	AUX
ap-1245	110	29	still	still	ADV
ap-1245	110	30	relatively	relatively	ADV
ap-1245	110	31	complex	complex	ADJ
ap-1245	110	32	.	.	PUNCT
ap-1245	111	1	the	the	DET
ap-1245	111	2	particular	particular	ADJ
ap-1245	111	3	constellation	constellation	NOUN
ap-1245	111	4	space	space	NOUN
ap-1245	111	5	boundaries	boundary	NOUN
ap-1245	111	6	of	of	ADP
ap-1245	111	7	the	the	DET
ap-1245	111	8	hdm	hdm	PROPN
ap-1245	111	9	at	at	ADP
ap-1245	111	10	the	the	DET
ap-1245	111	11	relay	relay	NOUN
ap-1245	111	12	result	result	NOUN
ap-1245	111	13	from	from	ADP
ap-1245	111	14	the	the	DET
ap-1245	111	15	selected	select	VERB
ap-1245	111	16	pi	pi	NOUN
ap-1245	111	17	-	-	PUNCT
ap-1245	111	18	hxa	hxa	ADJ
ap-1245	111	19	constellation	constellation	NOUN
ap-1245	111	20	(	(	PUNCT
ap-1245	111	21	i.e.	i.e.	X
ap-1245	111	22	alphabet	alphabet	PROPN
ap-1245	111	23	mapper	mapper	PROPN
ap-1245	111	24	as	as	ADP
ap-1245	111	25	)	)	PUNCT
ap-1245	111	26	,	,	PUNCT
ap-1245	111	27	and	and	CCONJ
ap-1245	111	28	the	the	DET
ap-1245	111	29	design	design	NOUN
ap-1245	111	30	criteria	criterion	NOUN
ap-1245	111	31	for	for	ADP
ap-1245	111	32	invariant	invariant	ADJ
ap-1245	111	33	decision	decision	NOUN
ap-1245	111	34	region	region	NOUN
ap-1245	111	35	boundaries	boundary	NOUN
ap-1245	111	36	directly	directly	ADV
ap-1245	111	37	affect	affect	VERB
ap-1245	111	38	the	the	DET
ap-1245	111	39	requirements	requirement	NOUN
ap-1245	111	40	given	give	VERB
ap-1245	111	41	on	on	ADP
ap-1245	111	42	the	the	DET
ap-1245	111	43	pi	pi	NOUN
ap-1245	111	44	-	-	PUNCT
ap-1245	111	45	hxa	hxa	NOUN
ap-1245	111	46	constellation	constellation	NOUN
ap-1245	111	47	.	.	PUNCT
ap-1245	112	1	this	this	DET
ap-1245	112	2	mutual	mutual	ADJ
ap-1245	112	3	relationship	relationship	NOUN
ap-1245	112	4	increases	increase	VERB
ap-1245	112	5	the	the	DET
ap-1245	112	6	complexity	complexity	NOUN
ap-1245	112	7	of	of	ADP
ap-1245	112	8	the	the	DET
ap-1245	112	9	systematic	systematic	ADJ
ap-1245	112	10	solution	solution	NOUN
ap-1245	112	11	to	to	ADP
ap-1245	112	12	pi	pi	NOUN
ap-1245	112	13	-	-	PUNCT
ap-1245	112	14	hxa	hxa	NOUN
ap-1245	112	15	design	design	NOUN
ap-1245	112	16	.	.	PUNCT
ap-1245	113	1	we	we	PRON
ap-1245	113	2	show	show	VERB
ap-1245	113	3	the	the	DET
ap-1245	113	4	viability	viability	NOUN
ap-1245	113	5	of	of	ADP
ap-1245	113	6	the	the	DET
ap-1245	113	7	layered	layer	VERB
ap-1245	113	8	hxc	hxc	PROPN
ap-1245	113	9	solution	solution	NOUN
ap-1245	113	10	in	in	ADP
ap-1245	113	11	parametric	parametric	ADJ
ap-1245	113	12	channels	channel	NOUN
ap-1245	113	13	(	(	PUNCT
ap-1245	113	14	i.e.	i.e.	X
ap-1245	113	15	the	the	DET
ap-1245	113	16	possibility	possibility	NOUN
ap-1245	113	17	to	to	PART
ap-1245	113	18	find	find	VERB
ap-1245	113	19	pi	pi	NOUN
ap-1245	113	20	-	-	PUNCT
ap-1245	113	21	hxa	hxa	NOUN
ap-1245	113	22	)	)	PUNCT
ap-1245	113	23	by	by	ADP
ap-1245	113	24	introducing	introduce	VERB
ap-1245	113	25	some	some	DET
ap-1245	113	26	major	major	ADJ
ap-1245	113	27	simplifications	simplification	NOUN
ap-1245	113	28	which	which	PRON
ap-1245	113	29	allow	allow	VERB
ap-1245	113	30	a	a	DET
ap-1245	113	31	geometric	geometric	ADJ
ap-1245	113	32	interpretation	interpretation	NOUN
ap-1245	113	33	of	of	ADP
ap-1245	113	34	the	the	DET
ap-1245	113	35	pi	pi	NOUN
ap-1245	113	36	-	-	PUNCT
ap-1245	113	37	hxa	hxa	ADJ
ap-1245	113	38	design	design	NOUN
ap-1245	113	39	problem	problem	NOUN
ap-1245	113	40	.	.	PUNCT
ap-1245	114	1	the	the	DET
ap-1245	114	2	idea	idea	NOUN
ap-1245	114	3	of	of	ADP
ap-1245	114	4	the	the	DET
ap-1245	114	5	geometric	geometric	ADJ
ap-1245	114	6	approach	approach	NOUN
ap-1245	114	7	to	to	ADP
ap-1245	114	8	pi	pi	NOUN
ap-1245	114	9	-	-	PUNCT
ap-1245	114	10	hxa	hxa	NOUN
ap-1245	114	11	design	design	NOUN
ap-1245	114	12	is	be	AUX
ap-1245	114	13	based	base	VERB
ap-1245	114	14	on	on	ADP
ap-1245	114	15	the	the	DET
ap-1245	114	16	“	"	PUNCT
ap-1245	114	17	constellation	constellation	NOUN
ap-1245	114	18	space	space	NOUN
ap-1245	114	19	patterns	pattern	NOUN
ap-1245	114	20	”	"	PUNCT
ap-1245	114	21	of	of	ADP
ap-1245	114	22	the	the	DET
ap-1245	114	23	useful	useful	ADJ
ap-1245	114	24	signal	signal	NOUN
ap-1245	114	25	u	u	NOUN
ap-1245	114	26	=	=	PROPN
ap-1245	114	27	sa	sa	PROPN
ap-1245	114	28	+	+	NUM
ap-1245	114	29	αsb	αsb	NOUN
ap-1245	114	30	.	.	PUNCT
ap-1245	115	1	definition	definition	NOUN
ap-1245	115	2	1	1	NUM
ap-1245	115	3	:	:	PUNCT
ap-1245	115	4	a	a	DET
ap-1245	115	5	constellation	constellation	NOUN
ap-1245	115	6	space	space	NOUN
ap-1245	115	7	pattern	pattern	NOUN
ap-1245	115	8	u	u	PROPN
ap-1245	115	9	ia	ia	PROPN
ap-1245	115	10	is	be	AUX
ap-1245	115	11	the	the	DET
ap-1245	115	12	subspace	subspace	NOUN
ap-1245	115	13	spanned	span	VERB
ap-1245	115	14	by	by	ADP
ap-1245	115	15	the	the	DET
ap-1245	115	16	useful	useful	ADJ
ap-1245	115	17	signal	signal	NOUN
ap-1245	115	18	u	u	NOUN
ap-1245	115	19	=	=	NOUN
ap-1245	115	20	sa+αsb	sa+αsb	NOUN
ap-1245	115	21	for	for	ADP
ap-1245	115	22	sa	sa	PROPN
ap-1245	115	23	=	=	PUNCT
ap-1245	115	24	sia	sia	PROPN
ap-1245	115	25	,	,	PUNCT
ap-1245	115	26	∀sb	∀sb	PROPN
ap-1245	115	27	∈	∈	PROPN
ap-1245	115	28	as	as	ADP
ap-1245	115	29	and	and	CCONJ
ap-1245	115	30	∀α	∀α	NOUN
ap-1245	115	31	∈	∈	PROPN
ap-1245	115	32	c	c	NOUN
ap-1245	115	33	1	1	NUM
ap-1245	115	34	.	.	PUNCT
ap-1245	116	1	the	the	DET
ap-1245	116	2	absolute	absolute	ADJ
ap-1245	116	3	value	value	NOUN
ap-1245	116	4	of	of	ADP
ap-1245	116	5	the	the	DET
ap-1245	116	6	channel	channel	NOUN
ap-1245	116	7	parameter	parameter	NOUN
ap-1245	116	8	|α|	|α|	PROPN
ap-1245	116	9	∈	∈	PROPN
ap-1245	116	10	(	(	PUNCT
ap-1245	116	11	0;∞	0;∞	PROPN
ap-1245	116	12	)	)	PUNCT
ap-1245	116	13	causes	cause	VERB
ap-1245	116	14	the	the	DET
ap-1245	116	15	constellation	constellation	NOUN
ap-1245	116	16	space	space	NOUN
ap-1245	116	17	patterns	pattern	NOUN
ap-1245	116	18	to	to	PART
ap-1245	116	19	be	be	AUX
ap-1245	116	20	potentially	potentially	ADV
ap-1245	116	21	unbounded	unbounded	ADJ
ap-1245	116	22	.	.	PUNCT
ap-1245	117	1	this	this	PRON
ap-1245	117	2	is	be	AUX
ap-1245	117	3	the	the	DET
ap-1245	117	4	only	only	ADJ
ap-1245	117	5	remaining	remain	VERB
ap-1245	117	6	inconvenience	inconvenience	NOUN
ap-1245	117	7	for	for	ADP
ap-1245	117	8	a	a	DET
ap-1245	117	9	simple	simple	ADJ
ap-1245	117	10	geometric	geometric	ADJ
ap-1245	117	11	interpretation	interpretation	NOUN
ap-1245	117	12	of	of	ADP
ap-1245	117	13	pi	pi	NOUN
ap-1245	117	14	-	-	PUNCT
ap-1245	117	15	hxa	hxa	NOUN
ap-1245	117	16	design	design	NOUN
ap-1245	117	17	.	.	PUNCT
ap-1245	118	1	as	as	SCONJ
ap-1245	118	2	we	we	PRON
ap-1245	118	3	will	will	AUX
ap-1245	118	4	show	show	VERB
ap-1245	118	5	in	in	ADP
ap-1245	118	6	the	the	DET
ap-1245	118	7	following	follow	VERB
ap-1245	118	8	subsection	subsection	NOUN
ap-1245	118	9	,	,	PUNCT
ap-1245	118	10	the	the	DET
ap-1245	118	11	constellation	constellation	NOUN
ap-1245	118	12	space	space	NOUN
ap-1245	118	13	patterns	pattern	NOUN
ap-1245	118	14	can	can	AUX
ap-1245	118	15	be	be	AUX
ap-1245	118	16	effectively	effectively	ADV
ap-1245	118	17	bounded	bound	VERB
ap-1245	118	18	by	by	ADP
ap-1245	118	19	simple	simple	ADJ
ap-1245	118	20	processing	processing	NOUN
ap-1245	118	21	at	at	ADP
ap-1245	118	22	the	the	DET
ap-1245	118	23	relay	relay	NOUN
ap-1245	118	24	.	.	PUNCT
ap-1245	119	1	5.2	5.2	NUM
ap-1245	119	2	two	two	NUM
ap-1245	119	3	-	-	PUNCT
ap-1245	119	4	mode	mode	NOUN
ap-1245	119	5	relay	relay	NOUN
ap-1245	119	6	processing	process	VERB
ap-1245	119	7	the	the	DET
ap-1245	119	8	received	receive	VERB
ap-1245	119	9	(	(	PUNCT
ap-1245	119	10	useful	useful	ADJ
ap-1245	119	11	)	)	PUNCT
ap-1245	119	12	signal	signal	NOUN
ap-1245	119	13	u	u	NOUN
ap-1245	119	14	is	be	AUX
ap-1245	119	15	obtained	obtain	VERB
ap-1245	119	16	by	by	ADP
ap-1245	119	17	rescaling	rescale	VERB
ap-1245	119	18	the	the	DET
ap-1245	119	19	true	true	ADJ
ap-1245	119	20	channel	channel	NOUN
ap-1245	119	21	response	response	NOUN
ap-1245	119	22	(	(	PUNCT
ap-1245	119	23	u′	u′	PROPN
ap-1245	119	24	=	=	SYM
ap-1245	119	25	hasa	hasa	PROPN
ap-1245	119	26	+	+	CCONJ
ap-1245	119	27	hbsb	hbsb	NOUN
ap-1245	119	28	)	)	PUNCT
ap-1245	119	29	by	by	ADP
ap-1245	119	30	1	1	NUM
ap-1245	119	31	/	/	SYM
ap-1245	119	32	ha	ha	INTJ
ap-1245	119	33	.	.	PUNCT
ap-1245	120	1	the	the	DET
ap-1245	120	2	only	only	ADJ
ap-1245	120	3	purpose	purpose	NOUN
ap-1245	120	4	of	of	ADP
ap-1245	120	5	this	this	DET
ap-1245	120	6	rescaling	rescaling	NOUN
ap-1245	120	7	is	be	AUX
ap-1245	120	8	to	to	PART
ap-1245	120	9	obtain	obtain	VERB
ap-1245	120	10	a	a	DET
ap-1245	120	11	simplified	simplified	ADJ
ap-1245	120	12	expression	expression	NOUN
ap-1245	120	13	of	of	ADP
ap-1245	120	14	the	the	DET
ap-1245	120	15	useful	useful	ADJ
ap-1245	120	16	signal	signal	NOUN
ap-1245	120	17	(	(	PUNCT
ap-1245	120	18	1	1	NUM
ap-1245	120	19	)	)	PUNCT
ap-1245	120	20	,	,	PUNCT
ap-1245	120	21	which	which	PRON
ap-1245	120	22	is	be	AUX
ap-1245	120	23	(	(	PUNCT
ap-1245	120	24	after	after	ADP
ap-1245	120	25	rescaling	rescale	VERB
ap-1245	120	26	)	)	PUNCT
ap-1245	120	27	parametrized	parametrized	ADJ
ap-1245	120	28	only	only	ADV
ap-1245	120	29	by	by	ADP
ap-1245	120	30	a	a	DET
ap-1245	120	31	single	single	ADJ
ap-1245	120	32	complex	complex	ADJ
ap-1245	120	33	channel	channel	NOUN
ap-1245	120	34	parameter	parameter	NOUN
ap-1245	120	35	α	α	NOUN
ap-1245	121	1	=	=	SYM
ap-1245	121	2	hb	hb	PROPN
ap-1245	121	3	/	/	SYM
ap-1245	121	4	ha	ha	INTJ
ap-1245	121	5	.	.	PUNCT
ap-1245	122	1	it	it	PRON
ap-1245	122	2	is	be	AUX
ap-1245	122	3	obvious	obvious	ADJ
ap-1245	122	4	that	that	SCONJ
ap-1245	122	5	the	the	DET
ap-1245	122	6	true	true	ADJ
ap-1245	122	7	channel	channel	NOUN
ap-1245	122	8	response	response	NOUN
ap-1245	122	9	can	can	AUX
ap-1245	122	10	alternatively	alternatively	ADV
ap-1245	122	11	be	be	AUX
ap-1245	122	12	rescaled	rescale	VERB
ap-1245	122	13	by	by	ADP
ap-1245	122	14	1	1	NUM
ap-1245	122	15	/	/	SYM
ap-1245	122	16	hb	hb	PROPN
ap-1245	122	17	,	,	PUNCT
ap-1245	122	18	hence	hence	ADV
ap-1245	122	19	we	we	PRON
ap-1245	122	20	can	can	AUX
ap-1245	122	21	obtain	obtain	VERB
ap-1245	122	22	two	two	NUM
ap-1245	122	23	alternative	alternative	ADJ
ap-1245	122	24	models	model	NOUN
ap-1245	122	25	of	of	ADP
ap-1245	122	26	the	the	DET
ap-1245	122	27	useful	useful	ADJ
ap-1245	122	28	signal	signal	NOUN
ap-1245	122	29	u	u	NOUN
ap-1245	122	30	:	:	PUNCT
ap-1245	122	31	m1	m1	NOUN
ap-1245	122	32	:	:	PUNCT
ap-1245	123	1	um1	um1	PROPN
ap-1245	123	2	=	=	SYM
ap-1245	123	3	sa	sa	PROPN
ap-1245	123	4	+	+	NUM
ap-1245	123	5	αsb	αsb	PROPN
ap-1245	123	6	,	,	PUNCT
ap-1245	123	7	(	(	PUNCT
ap-1245	123	8	11	11	NUM
ap-1245	123	9	)	)	PUNCT
ap-1245	123	10	m2	m2	PROPN
ap-1245	123	11	:	:	PUNCT
ap-1245	123	12	um2	um2	X
ap-1245	123	13	=	=	NOUN
ap-1245	123	14	1	1	NUM
ap-1245	123	15	α	α	NOUN
ap-1245	123	16	sa	sa	PROPN
ap-1245	123	17	+	+	PROPN
ap-1245	123	18	sb	sb	PROPN
ap-1245	123	19	.	.	PROPN
ap-1245	124	1	(	(	PUNCT
ap-1245	124	2	12	12	NUM
ap-1245	124	3	)	)	PUNCT
ap-1245	124	4	fig	fig	NOUN
ap-1245	124	5	.	.	PUNCT
ap-1245	125	1	3	3	NUM
ap-1245	125	2	:	:	PUNCT
ap-1245	125	3	the	the	DET
ap-1245	125	4	final	final	ADJ
ap-1245	125	5	shape	shape	NOUN
ap-1245	125	6	of	of	ADP
ap-1245	125	7	the	the	DET
ap-1245	125	8	hdm	hdm	PROPN
ap-1245	125	9	at	at	ADP
ap-1245	125	10	the	the	DET
ap-1245	125	11	relay	relay	NOUN
ap-1245	125	12	is	be	AUX
ap-1245	125	13	affected	affect	VERB
ap-1245	125	14	only	only	ADV
ap-1245	125	15	by	by	ADP
ap-1245	125	16	the	the	DET
ap-1245	125	17	pairwise	pairwise	NOUN
ap-1245	125	18	boundaries	boundary	NOUN
ap-1245	125	19	between	between	ADP
ap-1245	125	20	different	different	ADJ
ap-1245	125	21	hierarchical	hierarchical	ADJ
ap-1245	125	22	codewords	codeword	NOUN
ap-1245	125	23	(	(	PUNCT
ap-1245	125	24	given	give	VERB
ap-1245	125	25	by	by	ADP
ap-1245	125	26	a	a	DET
ap-1245	125	27	different	different	ADJ
ap-1245	125	28	colour	colour	NOUN
ap-1245	125	29	of	of	ADP
ap-1245	125	30	the	the	DET
ap-1245	125	31	region	region	NOUN
ap-1245	125	32	in	in	ADP
ap-1245	125	33	the	the	DET
ap-1245	125	34	figure	figure	NOUN
ap-1245	125	35	)	)	PUNCT
ap-1245	125	36	.	.	PUNCT
ap-1245	126	1	the	the	DET
ap-1245	126	2	generalized	generalized	ADJ
ap-1245	126	3	approach	approach	NOUN
ap-1245	126	4	to	to	ADP
ap-1245	126	5	the	the	DET
ap-1245	126	6	pi	pi	NOUN
ap-1245	126	7	-	-	PUNCT
ap-1245	126	8	hxa	hxa	NOUN
ap-1245	126	9	design	design	NOUN
ap-1245	126	10	requires	require	VERB
ap-1245	126	11	only	only	ADV
ap-1245	126	12	these	these	DET
ap-1245	126	13	particular	particular	ADJ
ap-1245	126	14	boundaries	boundary	NOUN
ap-1245	126	15	to	to	PART
ap-1245	126	16	be	be	AUX
ap-1245	126	17	invariant	invariant	ADJ
ap-1245	126	18	to	to	ADP
ap-1245	126	19	the	the	DET
ap-1245	126	20	channel	channel	NOUN
ap-1245	126	21	parametrization	parametrization	NOUN
ap-1245	126	22	(	(	PUNCT
ap-1245	126	23	unlike	unlike	ADP
ap-1245	126	24	e	e	NOUN
ap-1245	126	25	-	-	NOUN
ap-1245	126	26	phxc	phxc	X
ap-1245	126	27	)	)	PUNCT
ap-1245	126	28	82	82	NUM
ap-1245	126	29	acta	acta	PROPN
ap-1245	126	30	polytechnica	polytechnica	PROPN
ap-1245	126	31	vol	vol	NOUN
ap-1245	126	32	.	.	PROPN
ap-1245	127	1	50	50	NUM
ap-1245	127	2	no	no	NOUN
ap-1245	127	3	.	.	PUNCT
ap-1245	128	1	4/2010	4/2010	NOUN
ap-1245	128	2	this	this	PRON
ap-1245	128	3	corresponds	correspond	VERB
ap-1245	128	4	to	to	ADP
ap-1245	128	5	two	two	NUM
ap-1245	128	6	alternative	alternative	ADJ
ap-1245	128	7	models	model	NOUN
ap-1245	128	8	of	of	ADP
ap-1245	128	9	the	the	DET
ap-1245	128	10	received	receive	VERB
ap-1245	128	11	signal	signal	NOUN
ap-1245	128	12	at	at	ADP
ap-1245	128	13	the	the	DET
ap-1245	128	14	relay	relay	NOUN
ap-1245	128	15	:	:	PUNCT
ap-1245	128	16	xm1	xm1	PROPN
ap-1245	128	17	=	=	PUNCT
ap-1245	129	1	haum1	haum1	PROPN
ap-1245	130	1	+	+	CCONJ
ap-1245	130	2	w	w	PROPN
ap-1245	130	3	,	,	PUNCT
ap-1245	130	4	(	(	PUNCT
ap-1245	130	5	13	13	NUM
ap-1245	130	6	)	)	PUNCT
ap-1245	130	7	xm2	xm2	PUNCT
ap-1245	130	8	=	=	PUNCT
ap-1245	131	1	hbum2	hbum2	PROPN
ap-1245	132	1	+	+	CCONJ
ap-1245	132	2	w.	w.	PROPN
ap-1245	132	3	(	(	PUNCT
ap-1245	132	4	14	14	NUM
ap-1245	132	5	)	)	PUNCT
ap-1245	132	6	the	the	DET
ap-1245	132	7	relay	relay	NOUN
ap-1245	132	8	can	can	AUX
ap-1245	132	9	potentially	potentially	ADV
ap-1245	132	10	swap	swap	VERB
ap-1245	132	11	these	these	DET
ap-1245	132	12	two	two	NUM
ap-1245	132	13	channel	channel	NOUN
ap-1245	132	14	models	model	NOUN
ap-1245	132	15	(	(	PUNCT
ap-1245	132	16	respective	respective	ADJ
ap-1245	132	17	models	model	NOUN
ap-1245	132	18	of	of	ADP
ap-1245	132	19	the	the	DET
ap-1245	132	20	useful	useful	ADJ
ap-1245	132	21	signal	signal	NOUN
ap-1245	132	22	)	)	PUNCT
ap-1245	132	23	in	in	ADP
ap-1245	132	24	such	such	DET
ap-1245	132	25	a	a	DET
ap-1245	132	26	way	way	NOUN
ap-1245	132	27	that	that	PRON
ap-1245	132	28	the	the	DET
ap-1245	132	29	absolute	absolute	ADJ
ap-1245	132	30	value	value	NOUN
ap-1245	132	31	of	of	ADP
ap-1245	132	32	the	the	DET
ap-1245	132	33	channel	channel	NOUN
ap-1245	132	34	parameter	parameter	NOUN
ap-1245	132	35	(	(	PUNCT
ap-1245	132	36	α	α	NOUN
ap-1245	132	37	for	for	ADP
ap-1245	132	38	modelm1	modelm1	NOUN
ap-1245	132	39	and	and	CCONJ
ap-1245	132	40	1	1	NUM
ap-1245	132	41	α	α	PROPN
ap-1245	132	42	form2	form2	PROPN
ap-1245	132	43	)	)	PUNCT
ap-1245	132	44	is	be	AUX
ap-1245	132	45	always	always	ADV
ap-1245	132	46	less	less	ADJ
ap-1245	132	47	than	than	ADP
ap-1245	132	48	(	(	PUNCT
ap-1245	132	49	or	or	CCONJ
ap-1245	132	50	equal	equal	ADJ
ap-1245	132	51	to	to	ADP
ap-1245	132	52	)	)	PUNCT
ap-1245	132	53	one	one	NUM
ap-1245	132	54	.	.	PUNCT
ap-1245	133	1	this	this	DET
ap-1245	133	2	processing	processing	NOUN
ap-1245	133	3	at	at	ADP
ap-1245	133	4	the	the	DET
ap-1245	133	5	relay	relay	NOUN
ap-1245	133	6	will	will	AUX
ap-1245	133	7	be	be	AUX
ap-1245	133	8	called	call	VERB
ap-1245	133	9	2	2	NUM
ap-1245	133	10	-	-	PUNCT
ap-1245	133	11	mode	mode	NOUN
ap-1245	133	12	relay	relay	NOUN
ap-1245	133	13	processing	processing	NOUN
ap-1245	133	14	.	.	PUNCT
ap-1245	134	1	if	if	SCONJ
ap-1245	134	2	the	the	DET
ap-1245	134	3	hierarchical	hierarchical	ADJ
ap-1245	134	4	mapping	mapping	NOUN
ap-1245	134	5	at	at	ADP
ap-1245	134	6	the	the	DET
ap-1245	134	7	relay	relay	NOUN
ap-1245	134	8	is	be	AUX
ap-1245	134	9	“	"	PUNCT
ap-1245	134	10	symmetric	symmetric	ADJ
ap-1245	134	11	”	"	PUNCT
ap-1245	134	12	:	:	PUNCT
ap-1245	134	13	cij	cij	PROPN
ap-1245	134	14	ab	ab	PROPN
ap-1245	134	15	=	=	PUNCT
ap-1245	134	16	xc(c	xc(c	PROPN
ap-1245	135	1	i	i	PRON
ap-1245	135	2	a	a	PROPN
ap-1245	135	3	,	,	PUNCT
ap-1245	135	4	cj	cj	PROPN
ap-1245	135	5	b	b	NOUN
ap-1245	135	6	)	)	PUNCT
ap-1245	135	7	=	=	SYM
ap-1245	136	1	xc(c	xc(c	PROPN
ap-1245	136	2	j	j	PROPN
ap-1245	136	3	a	a	PROPN
ap-1245	136	4	,	,	PUNCT
ap-1245	136	5	ci	ci	PROPN
ap-1245	136	6	b	b	PROPN
ap-1245	136	7	)	)	PUNCT
ap-1245	136	8	,	,	PUNCT
ap-1245	136	9	∀i	∀i	NOUN
ap-1245	136	10	,	,	PUNCT
ap-1245	136	11	j	j	PROPN
ap-1245	136	12	∈	∈	PROPN
ap-1245	136	13	{	{	PUNCT
ap-1245	136	14	1	1	NUM
ap-1245	136	15	,	,	PUNCT
ap-1245	136	16	.	.	PUNCT
ap-1245	136	17	.	.	PUNCT
ap-1245	136	18	.	.	PUNCT
ap-1245	137	1	|ac|	|ac|	PROPN
ap-1245	137	2	}	}	PUNCT
ap-1245	137	3	,	,	PUNCT
ap-1245	137	4	(	(	PUNCT
ap-1245	137	5	15	15	NUM
ap-1245	137	6	)	)	PUNCT
ap-1245	137	7	then	then	ADV
ap-1245	137	8	2	2	NUM
ap-1245	137	9	-	-	PUNCT
ap-1245	137	10	mode	mode	NOUN
ap-1245	137	11	relay	relay	NOUN
ap-1245	137	12	processing	processing	NOUN
ap-1245	137	13	can	can	AUX
ap-1245	137	14	be	be	AUX
ap-1245	137	15	used	use	VERB
ap-1245	137	16	transparently	transparently	ADV
ap-1245	137	17	to	to	ADP
ap-1245	137	18	both	both	DET
ap-1245	137	19	sources	source	NOUN
ap-1245	137	20	a	a	PRON
ap-1245	137	21	,	,	PUNCT
ap-1245	137	22	b	b	PROPN
ap-1245	137	23	(	(	PUNCT
ap-1245	137	24	i.e.	i.e.	X
ap-1245	137	25	the	the	DET
ap-1245	137	26	sources	source	NOUN
ap-1245	137	27	are	be	AUX
ap-1245	137	28	not	not	PART
ap-1245	137	29	aware	aware	ADJ
ap-1245	137	30	which	which	DET
ap-1245	137	31	channel	channel	NOUN
ap-1245	137	32	model	model	NOUN
ap-1245	137	33	is	be	AUX
ap-1245	137	34	in	in	ADP
ap-1245	137	35	use	use	NOUN
ap-1245	137	36	at	at	ADP
ap-1245	137	37	the	the	DET
ap-1245	137	38	relay	relay	NOUN
ap-1245	137	39	for	for	ADP
ap-1245	137	40	the	the	DET
ap-1245	137	41	current	current	ADJ
ap-1245	137	42	transmission	transmission	NOUN
ap-1245	137	43	)	)	PUNCT
ap-1245	137	44	,	,	PUNCT
ap-1245	137	45	and	and	CCONJ
ap-1245	137	46	hence	hence	ADV
ap-1245	137	47	it	it	PRON
ap-1245	137	48	is	be	AUX
ap-1245	137	49	feasible	feasible	ADJ
ap-1245	137	50	for	for	ADP
ap-1245	137	51	the	the	DET
ap-1245	137	52	hdf	hdf	PROPN
ap-1245	137	53	strategy	strategy	NOUN
ap-1245	137	54	with	with	ADP
ap-1245	137	55	hxc	hxc	PROPN
ap-1245	137	56	.	.	PUNCT
ap-1245	138	1	the	the	DET
ap-1245	138	2	symmetry	symmetry	NOUN
ap-1245	138	3	of	of	ADP
ap-1245	138	4	the	the	DET
ap-1245	138	5	relay	relay	NOUN
ap-1245	138	6	hierarchical	hierarchical	ADJ
ap-1245	138	7	mapper	mapper	NOUN
ap-1245	138	8	allows	allow	VERB
ap-1245	138	9	the	the	DET
ap-1245	138	10	relay	relay	NOUN
ap-1245	138	11	to	to	PART
ap-1245	138	12	swap	swap	VERB
ap-1245	138	13	these	these	DET
ap-1245	138	14	two	two	NUM
ap-1245	138	15	equivalent	equivalent	ADJ
ap-1245	138	16	models	model	NOUN
ap-1245	138	17	of	of	ADP
ap-1245	138	18	the	the	DET
ap-1245	138	19	useful	useful	ADJ
ap-1245	138	20	signal	signal	NOUN
ap-1245	138	21	(	(	PUNCT
ap-1245	138	22	11	11	NUM
ap-1245	138	23	)	)	PUNCT
ap-1245	138	24	,	,	PUNCT
ap-1245	138	25	(	(	PUNCT
ap-1245	138	26	12	12	NUM
ap-1245	138	27	)	)	PUNCT
ap-1245	138	28	transparently	transparently	ADV
ap-1245	138	29	to	to	ADP
ap-1245	138	30	both	both	DET
ap-1245	138	31	sources	source	NOUN
ap-1245	138	32	.	.	PUNCT
ap-1245	139	1	in	in	ADP
ap-1245	139	2	this	this	DET
ap-1245	139	3	way	way	NOUN
ap-1245	139	4	the	the	DET
ap-1245	139	5	relay	relay	NOUN
ap-1245	139	6	can	can	AUX
ap-1245	139	7	ensure	ensure	VERB
ap-1245	139	8	that	that	SCONJ
ap-1245	139	9	the	the	DET
ap-1245	139	10	value	value	NOUN
ap-1245	139	11	of	of	ADP
ap-1245	139	12	the	the	DET
ap-1245	139	13	channel	channel	NOUN
ap-1245	139	14	parameter	parameter	NOUN
ap-1245	139	15	in	in	ADP
ap-1245	139	16	the	the	DET
ap-1245	139	17	useful	useful	ADJ
ap-1245	139	18	signal	signal	NOUN
ap-1245	139	19	model	model	NOUN
ap-1245	139	20	remains	remain	VERB
ap-1245	139	21	bounded	bound	VERB
ap-1245	139	22	,	,	PUNCT
ap-1245	139	23	which	which	PRON
ap-1245	139	24	in	in	ADP
ap-1245	139	25	turn	turn	NOUN
ap-1245	139	26	affects	affect	VERB
ap-1245	139	27	the	the	DET
ap-1245	139	28	subspaces	subspace	NOUN
ap-1245	139	29	spanned	span	VERB
ap-1245	139	30	by	by	ADP
ap-1245	139	31	the	the	DET
ap-1245	139	32	useful	useful	ADJ
ap-1245	139	33	signals	signal	NOUN
ap-1245	139	34	um1	um1	PROPN
ap-1245	139	35	,	,	PUNCT
ap-1245	139	36	um2	um2	PROPN
ap-1245	139	37	,	,	PUNCT
ap-1245	139	38	i.e.	i.e.	X
ap-1245	139	39	the	the	DET
ap-1245	139	40	constellation	constellation	NOUN
ap-1245	139	41	space	space	NOUN
ap-1245	139	42	patterns	pattern	NOUN
ap-1245	139	43	.	.	PUNCT
ap-1245	140	1	definition	definition	NOUN
ap-1245	140	2	2	2	NUM
ap-1245	140	3	:	:	PUNCT
ap-1245	140	4	a	a	DET
ap-1245	140	5	constellation	constellation	NOUN
ap-1245	140	6	space	space	NOUN
ap-1245	140	7	pattern	pattern	NOUN
ap-1245	140	8	u	u	PROPN
ap-1245	140	9	ib	ib	PROPN
ap-1245	140	10	is	be	AUX
ap-1245	140	11	the	the	DET
ap-1245	140	12	subspace	subspace	NOUN
ap-1245	140	13	spanned	span	VERB
ap-1245	140	14	by	by	ADP
ap-1245	140	15	the	the	DET
ap-1245	140	16	useful	useful	ADJ
ap-1245	140	17	signal	signal	NOUN
ap-1245	140	18	um2	um2	NOUN
ap-1245	140	19	=	=	SYM
ap-1245	140	20	1	1	NUM
ap-1245	140	21	α	α	NOUN
ap-1245	140	22	sa	sa	PROPN
ap-1245	141	1	+	+	CCONJ
ap-1245	141	2	sb	sb	PROPN
ap-1245	141	3	for	for	ADP
ap-1245	141	4	sb	sb	PROPN
ap-1245	141	5	=	=	PROPN
ap-1245	141	6	sib	sib	PROPN
ap-1245	141	7	,	,	PUNCT
ap-1245	141	8	∀sa	∀sa	NOUN
ap-1245	141	9	∈	∈	NOUN
ap-1245	141	10	as	as	ADP
ap-1245	141	11	and	and	CCONJ
ap-1245	141	12	∀α	∀α	VERB
ap-1245	141	13	∈	∈	PROPN
ap-1245	141	14	c	c	NOUN
ap-1245	141	15	1	1	NUM
ap-1245	141	16	.	.	PUNCT
ap-1245	141	17	definition	definition	NOUN
ap-1245	141	18	3	3	NUM
ap-1245	141	19	:	:	PUNCT
ap-1245	141	20	a	a	DET
ap-1245	141	21	bounded	bound	VERB
ap-1245	141	22	constellation	constellation	NOUN
ap-1245	141	23	space	space	NOUN
ap-1245	141	24	pattern	pattern	NOUN
ap-1245	141	25	u	u	NOUN
ap-1245	141	26	′i	′i	PROPN
ap-1245	141	27	is	be	AUX
ap-1245	141	28	the	the	DET
ap-1245	141	29	subspace	subspace	NOUN
ap-1245	141	30	given	give	VERB
ap-1245	141	31	by	by	ADP
ap-1245	141	32	:	:	PUNCT
ap-1245	141	33	u	u	NOUN
ap-1245	141	34	′i	′i	NOUN
ap-1245	141	35	=	=	SYM
ap-1245	141	36	{	{	PUNCT
ap-1245	141	37	u	u	PROPN
ap-1245	141	38	ia	ia	PROPN
ap-1245	141	39	for	for	ADP
ap-1245	141	40	|α|	|α|	PROPN
ap-1245	141	41	≤	≤	NUM
ap-1245	141	42	1	1	NUM
ap-1245	142	1	u	u	NOUN
ap-1245	142	2	ib	ib	NOUN
ap-1245	142	3	for	for	ADP
ap-1245	142	4	|α|	|α|	PROPN
ap-1245	142	5	>	>	X
ap-1245	142	6	1	1	NUM
ap-1245	142	7	.	.	PUNCT
ap-1245	143	1	(	(	PUNCT
ap-1245	143	2	16	16	NUM
ap-1245	143	3	)	)	PUNCT
ap-1245	143	4	fig	fig	NOUN
ap-1245	143	5	.	.	PUNCT
ap-1245	144	1	4	4	NUM
ap-1245	144	2	:	:	PUNCT
ap-1245	144	3	example	example	NOUN
ap-1245	144	4	of	of	ADP
ap-1245	144	5	the	the	DET
ap-1245	144	6	constellation	constellation	NOUN
ap-1245	144	7	space	space	NOUN
ap-1245	144	8	patterns	pattern	NOUN
ap-1245	144	9	for	for	ADP
ap-1245	144	10	2	2	NUM
ap-1245	144	11	-	-	PUNCT
ap-1245	144	12	mode	mode	NOUN
ap-1245	144	13	relay	relay	NOUN
ap-1245	144	14	processing	processing	NOUN
ap-1245	144	15	(	(	PUNCT
ap-1245	144	16	|as|	|as|	PROPN
ap-1245	144	17	=	=	SYM
ap-1245	144	18	|ac|	|ac|	PROPN
ap-1245	144	19	=	=	PROPN
ap-1245	144	20	4	4	NUM
ap-1245	144	21	)	)	PUNCT
ap-1245	144	22	.	.	PUNCT
ap-1245	145	1	the	the	DET
ap-1245	145	2	particular	particular	ADJ
ap-1245	145	3	line	line	NOUN
ap-1245	145	4	style	style	NOUN
ap-1245	145	5	corresponds	correspond	VERB
ap-1245	145	6	to	to	ADP
ap-1245	145	7	the	the	DET
ap-1245	145	8	particular	particular	ADJ
ap-1245	145	9	αsb	αsb	NOUN
ap-1245	145	10	,	,	PUNCT
ap-1245	145	11	∀sb	∀sb	PROPN
ap-1245	145	12	∈	∈	NOUN
ap-1245	145	13	as	as	ADP
ap-1245	145	14	table	table	NOUN
ap-1245	145	15	1	1	NUM
ap-1245	145	16	:	:	PUNCT
ap-1245	145	17	principles	principle	NOUN
ap-1245	145	18	of	of	ADP
ap-1245	145	19	2	2	NUM
ap-1245	145	20	-	-	PUNCT
ap-1245	145	21	mode	mode	NOUN
ap-1245	145	22	relay	relay	NOUN
ap-1245	145	23	processing	processing	NOUN
ap-1245	145	24	channel	channel	NOUN
ap-1245	145	25	|α|	|α|	PROPN
ap-1245	145	26	∣∣∣∣	∣∣∣∣	PROPN
ap-1245	145	27	1α	1α	NUM
ap-1245	145	28	∣∣∣∣	∣∣∣∣	NOUN
ap-1245	145	29	u	u	NOUN
ap-1245	145	30	u	u	NOUN
ap-1245	145	31	′i	′i	NOUN
ap-1245	145	32	|ha|	|ha|	PROPN
ap-1245	145	33	≥	≥	NOUN
ap-1245	145	34	|hb|	|hb|	PROPN
ap-1245	145	35	≤	≤	NUM
ap-1245	145	36	1	1	NUM
ap-1245	145	37	≥	≥	NOUN
ap-1245	145	38	1	1	NUM
ap-1245	145	39	um1	um1	PROPN
ap-1245	145	40	u	u	PROPN
ap-1245	145	41	ia	ia	PROPN
ap-1245	145	42	|ha|	|ha|	PROPN
ap-1245	145	43	<	<	X
ap-1245	145	44	|hb|	|hb|	PROPN
ap-1245	145	45	>	>	X
ap-1245	145	46	1	1	NUM
ap-1245	145	47	<	<	SYM
ap-1245	145	48	1	1	NUM
ap-1245	145	49	um2	um2	NOUN
ap-1245	145	50	u	u	NOUN
ap-1245	145	51	ib	ib	NOUN
ap-1245	145	52	constellation	constellation	NOUN
ap-1245	145	53	space	space	NOUN
ap-1245	145	54	patterns	pattern	VERB
ap-1245	145	55	u	u	NOUN
ap-1245	145	56	′i	′i	NOUN
ap-1245	145	57	are	be	AUX
ap-1245	145	58	effectively	effectively	ADV
ap-1245	145	59	bounded	bound	VERB
ap-1245	145	60	(	(	PUNCT
ap-1245	145	61	fig	fig	NOUN
ap-1245	145	62	.	.	PUNCT
ap-1245	146	1	4	4	NUM
ap-1245	146	2	)	)	PUNCT
ap-1245	146	3	by	by	ADP
ap-1245	146	4	simple	simple	ADJ
ap-1245	146	5	swapping	swapping	NOUN
ap-1245	146	6	of	of	ADP
ap-1245	146	7	the	the	DET
ap-1245	146	8	useful	useful	ADJ
ap-1245	146	9	signal	signal	NOUN
ap-1245	146	10	models	model	NOUN
ap-1245	146	11	at	at	ADP
ap-1245	146	12	the	the	DET
ap-1245	146	13	relay	relay	NOUN
ap-1245	146	14	.	.	PUNCT
ap-1245	147	1	the	the	DET
ap-1245	147	2	only	only	ADJ
ap-1245	147	3	requirement	requirement	NOUN
ap-1245	147	4	for	for	ADP
ap-1245	147	5	this	this	DET
ap-1245	147	6	2	2	NUM
ap-1245	147	7	-	-	PUNCT
ap-1245	147	8	mode	mode	NOUN
ap-1245	147	9	relay	relay	NOUN
ap-1245	147	10	processing	processing	NOUN
ap-1245	147	11	is	be	AUX
ap-1245	147	12	symmetry	symmetry	NOUN
ap-1245	147	13	of	of	ADP
ap-1245	147	14	the	the	DET
ap-1245	147	15	relay	relay	NOUN
ap-1245	147	16	hierarchical	hierarchical	ADJ
ap-1245	147	17	output	output	NOUN
ap-1245	147	18	mapper	mapper	NOUN
ap-1245	147	19	(	(	PUNCT
ap-1245	147	20	15	15	NUM
ap-1245	147	21	)	)	PUNCT
ap-1245	147	22	.	.	PUNCT
ap-1245	148	1	we	we	PRON
ap-1245	148	2	summarize	summarize	VERB
ap-1245	148	3	the	the	DET
ap-1245	148	4	principles	principle	NOUN
ap-1245	148	5	of	of	ADP
ap-1245	148	6	2	2	NUM
ap-1245	148	7	-	-	PUNCT
ap-1245	148	8	mode	mode	NOUN
ap-1245	148	9	relay	relay	NOUN
ap-1245	148	10	processing	processing	NOUN
ap-1245	148	11	in	in	ADP
ap-1245	148	12	table	table	NOUN
ap-1245	148	13	1	1	NUM
ap-1245	148	14	.	.	X
ap-1245	148	15	5.3	5.3	NUM
ap-1245	148	16	an	an	DET
ap-1245	148	17	example	example	NOUN
ap-1245	148	18	of	of	ADP
ap-1245	148	19	2	2	NUM
ap-1245	148	20	-	-	PUNCT
ap-1245	148	21	dimensional	dimensional	ADJ
ap-1245	148	22	pi	pi	NOUN
ap-1245	148	23	-	-	PUNCT
ap-1245	148	24	hxa	hxa	NOUN
ap-1245	148	25	we	we	PRON
ap-1245	148	26	assume	assume	VERB
ap-1245	148	27	a	a	DET
ap-1245	148	28	real	real	ADV
ap-1245	148	29	-	-	PUNCT
ap-1245	148	30	valued	value	VERB
ap-1245	148	31	channel	channel	NOUN
ap-1245	148	32	symbol	symbol	NOUN
ap-1245	148	33	memoryless	memoryless	PROPN
ap-1245	148	34	mapper	mapper	PROPN
ap-1245	148	35	as	as	ADP
ap-1245	148	36	⊂	⊂	PROPN
ap-1245	148	37	r	r	NOUN
ap-1245	148	38	2	2	NUM
ap-1245	148	39	(	(	PUNCT
ap-1245	148	40	common	common	ADJ
ap-1245	148	41	to	to	ADP
ap-1245	148	42	both	both	DET
ap-1245	148	43	sources	source	NOUN
ap-1245	148	44	)	)	PUNCT
ap-1245	148	45	.	.	PUNCT
ap-1245	149	1	the	the	DET
ap-1245	149	2	channel	channel	NOUN
ap-1245	149	3	parameter	parameter	NOUN
ap-1245	149	4	is	be	AUX
ap-1245	149	5	complex	complex	ADJ
ap-1245	149	6	α	α	PRON
ap-1245	149	7	∈	∈	PROPN
ap-1245	149	8	c	c	NOUN
ap-1245	149	9	1	1	NUM
ap-1245	149	10	,	,	PUNCT
ap-1245	149	11	and	and	CCONJ
ap-1245	149	12	the	the	DET
ap-1245	149	13	useful	useful	ADJ
ap-1245	149	14	signals	signal	NOUN
ap-1245	149	15	are	be	AUX
ap-1245	149	16	um1	um1	PROPN
ap-1245	149	17	,	,	PUNCT
ap-1245	149	18	um2	um2	PROPN
ap-1245	149	19	∈	∈	PROPN
ap-1245	149	20	c	c	PROPN
ap-1245	149	21	2	2	NUM
ap-1245	149	22	.	.	PUNCT
ap-1245	150	1	the	the	DET
ap-1245	150	2	assumption	assumption	NOUN
ap-1245	150	3	of	of	ADP
ap-1245	150	4	a	a	DET
ap-1245	150	5	real	real	ADV
ap-1245	150	6	-	-	PUNCT
ap-1245	150	7	valued	value	VERB
ap-1245	150	8	alphabet	alphabet	NOUN
ap-1245	150	9	(	(	PUNCT
ap-1245	150	10	as	as	ADP
ap-1245	150	11	⊂	⊂	PROPN
ap-1245	150	12	r	r	NOUN
ap-1245	150	13	2	2	NUM
ap-1245	150	14	)	)	PUNCT
ap-1245	150	15	allows	allow	VERB
ap-1245	150	16	the	the	DET
ap-1245	150	17	following	follow	VERB
ap-1245	150	18	simple	simple	ADJ
ap-1245	150	19	interpretation	interpretation	NOUN
ap-1245	150	20	of	of	ADP
ap-1245	150	21	the	the	DET
ap-1245	150	22	real	real	ADJ
ap-1245	150	23	and	and	CCONJ
ap-1245	150	24	imaginary	imaginary	ADJ
ap-1245	150	25	part	part	NOUN
ap-1245	150	26	of	of	ADP
ap-1245	150	27	the	the	DET
ap-1245	150	28	received	receive	VERB
ap-1245	150	29	useful	useful	ADJ
ap-1245	150	30	signal	signal	NOUN
ap-1245	150	31	um1	um1	PROPN
ap-1245	150	32	∈	∈	PROPN
ap-1245	150	33	c	c	PROPN
ap-1245	150	34	2	2	NUM
ap-1245	150	35	(	(	PUNCT
ap-1245	150	36	similarly	similarly	ADV
ap-1245	150	37	for	for	ADP
ap-1245	150	38	um2	um2	PROPN
ap-1245	150	39	):	):	PUNCT
ap-1245	150	40	�	�	PROPN
ap-1245	150	41	{	{	PUNCT
ap-1245	150	42	um1	um1	PROPN
ap-1245	150	43	}	}	PUNCT
ap-1245	150	44	=	=	SYM
ap-1245	150	45	sa	sa	PROPN
ap-1245	150	46	+	+	PROPN
ap-1245	150	47	�	�	PROPN
ap-1245	150	48	{	{	PUNCT
ap-1245	150	49	α	α	PROPN
ap-1245	150	50	}	}	PUNCT
ap-1245	150	51	sb	sb	PROPN
ap-1245	150	52	,	,	PUNCT
ap-1245	150	53	(	(	PUNCT
ap-1245	150	54	17	17	NUM
ap-1245	150	55	)	)	PUNCT
ap-1245	150	56	�	�	PROPN
ap-1245	150	57	{	{	PUNCT
ap-1245	150	58	um1	um1	PROPN
ap-1245	150	59	}	}	PUNCT
ap-1245	150	60	=	=	SYM
ap-1245	150	61	�	�	PROPN
ap-1245	150	62	{	{	PUNCT
ap-1245	150	63	α	α	PROPN
ap-1245	150	64	}	}	PUNCT
ap-1245	150	65	sb	sb	PROPN
ap-1245	150	66	,	,	PUNCT
ap-1245	150	67	(	(	PUNCT
ap-1245	150	68	18	18	NUM
ap-1245	150	69	)	)	PUNCT
ap-1245	150	70	which	which	PRON
ap-1245	150	71	corresponds	correspond	VERB
ap-1245	150	72	to	to	ADP
ap-1245	150	73	the	the	DET
ap-1245	150	74	following	follow	VERB
ap-1245	150	75	vector	vector	NOUN
ap-1245	150	76	notation	notation	NOUN
ap-1245	150	77	:	:	PUNCT
ap-1245	150	78	�	�	PROPN
ap-1245	150	79	{	{	PUNCT
ap-1245	150	80	[	[	PUNCT
ap-1245	150	81	um1,1	um1,1	ADJ
ap-1245	150	82	um1,2	um1,2	NOUN
ap-1245	150	83	]	]	X
ap-1245	150	84	}	}	PUNCT
ap-1245	150	85	=	=	SYM
ap-1245	150	86	[	[	PUNCT
ap-1245	150	87	sa,1	sa,1	PROPN
ap-1245	150	88	sa,2	sa,2	PROPN
ap-1245	150	89	]	]	PUNCT
ap-1245	151	1	+	+	PUNCT
ap-1245	151	2	�	�	PROPN
ap-1245	151	3	{	{	PUNCT
ap-1245	151	4	α	α	NOUN
ap-1245	151	5	}	}	PUNCT
ap-1245	151	6	[	[	PUNCT
ap-1245	151	7	sb,1	sb,1	PROPN
ap-1245	151	8	sb,2	sb,2	PROPN
ap-1245	151	9	]	]	PUNCT
ap-1245	151	10	,	,	PUNCT
ap-1245	151	11	(	(	PUNCT
ap-1245	151	12	19	19	NUM
ap-1245	151	13	)	)	PUNCT
ap-1245	151	14	�	�	NOUN
ap-1245	151	15	{	{	PUNCT
ap-1245	151	16	[	[	PUNCT
ap-1245	151	17	um1,1	um1,1	ADJ
ap-1245	151	18	um1,2	um1,2	NOUN
ap-1245	151	19	]	]	X
ap-1245	151	20	}	}	PUNCT
ap-1245	151	21	=	=	SYM
ap-1245	151	22	�	�	PROPN
ap-1245	151	23	{	{	PUNCT
ap-1245	151	24	α	α	NOUN
ap-1245	151	25	}	}	PUNCT
ap-1245	151	26	[	[	PUNCT
ap-1245	151	27	sb,1	sb,1	PROPN
ap-1245	151	28	sb,2	sb,2	PROPN
ap-1245	151	29	]	]	PUNCT
ap-1245	151	30	.	.	PUNCT
ap-1245	152	1	(	(	PUNCT
ap-1245	152	2	20	20	X
ap-1245	152	3	)	)	PUNCT
ap-1245	152	4	it	it	PRON
ap-1245	152	5	is	be	AUX
ap-1245	152	6	obvious	obvious	ADJ
ap-1245	152	7	that	that	SCONJ
ap-1245	152	8	the	the	DET
ap-1245	152	9	imaginary	imaginary	ADJ
ap-1245	152	10	part	part	NOUN
ap-1245	152	11	of	of	ADP
ap-1245	152	12	the	the	DET
ap-1245	152	13	useful	useful	ADJ
ap-1245	152	14	signal	signal	NOUN
ap-1245	152	15	�	�	PROPN
ap-1245	152	16	{	{	PUNCT
ap-1245	152	17	umi	umi	PROPN
ap-1245	152	18	}	}	PUNCT
ap-1245	152	19	depends	depend	VERB
ap-1245	152	20	solely	solely	ADV
ap-1245	152	21	on	on	ADP
ap-1245	152	22	the	the	DET
ap-1245	152	23	channel	channel	NOUN
ap-1245	152	24	symbols	symbol	NOUN
ap-1245	152	25	from	from	ADP
ap-1245	152	26	one	one	NUM
ap-1245	152	27	source	source	NOUN
ap-1245	152	28	(	(	PUNCT
ap-1245	152	29	source	source	NOUN
ap-1245	152	30	b	b	PROPN
ap-1245	152	31	for	for	ADP
ap-1245	152	32	modem1	modem1	NOUN
ap-1245	152	33	(	(	PUNCT
ap-1245	152	34	11	11	NUM
ap-1245	152	35	)	)	PUNCT
ap-1245	152	36	and	and	CCONJ
ap-1245	152	37	source	source	VERB
ap-1245	152	38	a	a	PRON
ap-1245	152	39	for	for	ADP
ap-1245	152	40	mode	mode	NOUN
ap-1245	152	41	m2	m2	PROPN
ap-1245	152	42	(	(	PUNCT
ap-1245	152	43	12	12	NUM
ap-1245	152	44	)	)	PUNCT
ap-1245	152	45	)	)	PUNCT
ap-1245	152	46	.	.	PUNCT
ap-1245	153	1	this	this	PRON
ap-1245	153	2	can	can	AUX
ap-1245	153	3	be	be	AUX
ap-1245	153	4	viewed	view	VERB
ap-1245	153	5	as	as	ADP
ap-1245	153	6	an	an	DET
ap-1245	153	7	additional	additional	ADJ
ap-1245	153	8	side	side	NOUN
ap-1245	153	9	information	information	NOUN
ap-1245	153	10	transmission	transmission	NOUN
ap-1245	153	11	from	from	ADP
ap-1245	153	12	the	the	DET
ap-1245	153	13	corresponding	correspond	VERB
ap-1245	153	14	source	source	NOUN
ap-1245	153	15	.	.	PUNCT
ap-1245	154	1	the	the	DET
ap-1245	154	2	relay	relay	NOUN
ap-1245	154	3	employs	employ	VERB
ap-1245	154	4	2	2	NUM
ap-1245	154	5	-	-	PUNCT
ap-1245	154	6	mode	mode	NOUN
ap-1245	154	7	processing	processing	NOUN
ap-1245	154	8	,	,	PUNCT
ap-1245	154	9	hence	hence	ADV
ap-1245	154	10	the	the	DET
ap-1245	154	11	corresponding	corresponding	ADJ
ap-1245	154	12	constellation	constellation	NOUN
ap-1245	154	13	space	space	NOUN
ap-1245	154	14	patterns	pattern	NOUN
ap-1245	154	15	u	u	NOUN
ap-1245	154	16	′i	′i	NOUN
ap-1245	154	17	are	be	AUX
ap-1245	154	18	bounded	bound	VERB
ap-1245	154	19	.	.	PUNCT
ap-1245	155	1	to	to	PART
ap-1245	155	2	simplify	simplify	VERB
ap-1245	155	3	the	the	DET
ap-1245	155	4	design	design	NOUN
ap-1245	155	5	example	example	NOUN
ap-1245	155	6	even	even	ADV
ap-1245	155	7	more	more	ADV
ap-1245	155	8	,	,	PUNCT
ap-1245	155	9	only	only	ADV
ap-1245	155	10	the	the	DET
ap-1245	155	11	real	real	ADJ
ap-1245	155	12	part	part	NOUN
ap-1245	155	13	of	of	ADP
ap-1245	155	14	the	the	DET
ap-1245	155	15	constellation	constellation	NOUN
ap-1245	155	16	space	space	NOUN
ap-1245	155	17	patterns	pattern	NOUN
ap-1245	155	18	(	(	PUNCT
ap-1245	155	19	u	u	NOUN
ap-1245	155	20	′i	′i	NOUN
ap-1245	155	21	re	re	NOUN
ap-1245	155	22	=	=	PROPN
ap-1245	155	23	�	�	PROPN
ap-1245	155	24	{	{	PUNCT
ap-1245	155	25	u	u	NOUN
ap-1245	155	26	′i	′i	NOUN
ap-1245	155	27	}	}	PUNCT
ap-1245	155	28	)	)	PUNCT
ap-1245	155	29	will	will	AUX
ap-1245	155	30	be	be	AUX
ap-1245	155	31	considered	consider	VERB
ap-1245	155	32	here	here	ADV
ap-1245	155	33	.	.	PUNCT
ap-1245	156	1	these	these	DET
ap-1245	156	2	assumptions	assumption	NOUN
ap-1245	156	3	allow	allow	VERB
ap-1245	156	4	a	a	DET
ap-1245	156	5	simple	simple	ADJ
ap-1245	156	6	geometric	geometric	ADJ
ap-1245	156	7	interpretation	interpretation	NOUN
ap-1245	156	8	of	of	ADP
ap-1245	156	9	the	the	DET
ap-1245	156	10	pi	pi	NOUN
ap-1245	156	11	-	-	PUNCT
ap-1245	156	12	hxa	hxa	NOUN
ap-1245	156	13	design	design	NOUN
ap-1245	156	14	problem	problem	NOUN
ap-1245	156	15	in	in	ADP
ap-1245	156	16	r	r	NOUN
ap-1245	156	17	2	2	NUM
ap-1245	156	18	.	.	PUNCT
ap-1245	157	1	the	the	DET
ap-1245	157	2	common	common	ADJ
ap-1245	157	3	channel	channel	NOUN
ap-1245	157	4	symbol	symbol	NOUN
ap-1245	157	5	mapper	mapper	PROPN
ap-1245	157	6	as	as	SCONJ
ap-1245	157	7	cause	cause	VERB
ap-1245	157	8	that	that	PRON
ap-1245	157	9	for	for	ADP
ap-1245	157	10	ia	ia	NOUN
ap-1245	157	11	=	=	PRON
ap-1245	157	12	ib	ib	VERB
ap-1245	157	13	the	the	DET
ap-1245	157	14	corresponding	correspond	VERB
ap-1245	157	15	patterns	pattern	NOUN
ap-1245	157	16	u	u	X
ap-1245	157	17	ia	ia	PROPN
ap-1245	157	18	and	and	CCONJ
ap-1245	157	19	u	u	NOUN
ap-1245	157	20	ib	ib	NOUN
ap-1245	157	21	define	define	VERB
ap-1245	157	22	identical	identical	ADJ
ap-1245	157	23	subspaces	subspace	NOUN
ap-1245	157	24	.	.	PUNCT
ap-1245	158	1	hence	hence	ADV
ap-1245	158	2	it	it	PRON
ap-1245	158	3	is	be	AUX
ap-1245	158	4	sufficient	sufficient	ADJ
ap-1245	158	5	to	to	PART
ap-1245	158	6	consider	consider	VERB
ap-1245	158	7	only	only	ADV
ap-1245	158	8	u	u	PROPN
ap-1245	158	9	ia	ia	NOUN
ap-1245	158	10	for	for	ADP
ap-1245	158	11	the	the	DET
ap-1245	158	12	case	case	NOUN
ap-1245	158	13	|α|	|α|	PROPN
ap-1245	158	14	≤	≤	NUM
ap-1245	158	15	1	1	NUM
ap-1245	158	16	(	(	PUNCT
ap-1245	158	17	it	it	PRON
ap-1245	158	18	is	be	AUX
ap-1245	158	19	equivalent	equivalent	ADJ
ap-1245	158	20	to	to	ADP
ap-1245	158	21	the	the	DET
ap-1245	158	22	analysis	analysis	NOUN
ap-1245	158	23	of	of	ADP
ap-1245	158	24	u	u	NOUN
ap-1245	158	25	ib	ib	NOUN
ap-1245	158	26	for	for	ADP
ap-1245	158	27	the	the	DET
ap-1245	158	28	case	case	NOUN
ap-1245	158	29	∣∣∣∣	∣∣∣∣	NOUN
ap-1245	158	30	1α	1α	NUM
ap-1245	158	31	∣∣∣∣	∣∣∣∣	NOUN
ap-1245	158	32	<	<	X
ap-1245	158	33	1	1	NUM
ap-1245	158	34	)	)	PUNCT
ap-1245	158	35	.	.	PUNCT
ap-1245	159	1	by	by	ADP
ap-1245	159	2	defining	define	VERB
ap-1245	159	3	the	the	DET
ap-1245	159	4	particular	particular	ADJ
ap-1245	159	5	channel	channel	NOUN
ap-1245	159	6	symbol	symbol	NOUN
ap-1245	159	7	mapper	mapper	NOUN
ap-1245	159	8	(	(	PUNCT
ap-1245	159	9	as	as	ADP
ap-1245	159	10	)	)	PUNCT
ap-1245	159	11	we	we	PRON
ap-1245	159	12	also	also	ADV
ap-1245	159	13	directly	directly	ADV
ap-1245	159	14	define	define	VERB
ap-1245	159	15	the	the	DET
ap-1245	159	16	corresponding	corresponding	ADJ
ap-1245	159	17	constel83	constel83	PROPN
ap-1245	159	18	acta	acta	PROPN
ap-1245	159	19	polytechnica	polytechnica	PROPN
ap-1245	159	20	vol	vol	NOUN
ap-1245	159	21	.	.	PROPN
ap-1245	160	1	50	50	NUM
ap-1245	160	2	no	no	NOUN
ap-1245	160	3	.	.	PUNCT
ap-1245	161	1	4/2010	4/2010	NUM
ap-1245	161	2	lation	lation	NOUN
ap-1245	161	3	space	space	NOUN
ap-1245	161	4	patterns	pattern	VERB
ap-1245	161	5	u	u	PROPN
ap-1245	161	6	ia	ia	PROPN
ap-1245	161	7	.	.	PUNCT
ap-1245	162	1	in	in	ADP
ap-1245	162	2	this	this	DET
ap-1245	162	3	case	case	NOUN
ap-1245	162	4	,	,	PUNCT
ap-1245	162	5	the	the	DET
ap-1245	162	6	geometrical	geometrical	ADJ
ap-1245	162	7	pi	pi	NOUN
ap-1245	162	8	-	-	PUNCT
ap-1245	162	9	hxa	hxa	NOUN
ap-1245	162	10	design	design	NOUN
ap-1245	162	11	example	example	NOUN
ap-1245	162	12	turns	turn	VERB
ap-1245	162	13	into	into	ADP
ap-1245	162	14	a	a	DET
ap-1245	162	15	puzzle	puzzle	NOUN
ap-1245	162	16	-	-	PUNCT
ap-1245	162	17	like	like	ADJ
ap-1245	162	18	problem	problem	NOUN
ap-1245	162	19	of	of	ADP
ap-1245	162	20	the	the	DET
ap-1245	162	21	constellations	constellation	NOUN
ap-1245	162	22	space	space	NOUN
ap-1245	162	23	pattern	pattern	NOUN
ap-1245	162	24	(	(	PUNCT
ap-1245	162	25	u	u	PROPN
ap-1245	162	26	ia	ia	X
ap-1245	162	27	re	re	ADP
ap-1245	162	28	for	for	ADP
ap-1245	162	29	ia	ia	PROPN
ap-1245	162	30	∈	∈	PROPN
ap-1245	162	31	{	{	PUNCT
ap-1245	162	32	1	1	NUM
ap-1245	162	33	,	,	PUNCT
ap-1245	162	34	2	2	NUM
ap-1245	162	35	,	,	PUNCT
ap-1245	162	36	.	.	PUNCT
ap-1245	162	37	.	.	PUNCT
ap-1245	162	38	.	.	PUNCT
ap-1245	163	1	|as|	|as|	X
ap-1245	163	2	}	}	PUNCT
ap-1245	163	3	)	)	PUNCT
ap-1245	163	4	arrangement	arrangement	NOUN
ap-1245	163	5	in	in	ADP
ap-1245	163	6	r	r	NOUN
ap-1245	163	7	2	2	NUM
ap-1245	163	8	.	.	PUNCT
ap-1245	164	1	the	the	DET
ap-1245	164	2	main	main	ADJ
ap-1245	164	3	goal	goal	NOUN
ap-1245	164	4	of	of	ADP
ap-1245	164	5	this	this	DET
ap-1245	164	6	“	"	PUNCT
ap-1245	164	7	puzzle	puzzle	NOUN
ap-1245	164	8	”	"	PUNCT
ap-1245	164	9	is	be	AUX
ap-1245	164	10	to	to	PART
ap-1245	164	11	find	find	VERB
ap-1245	164	12	a	a	DET
ap-1245	164	13	suitable	suitable	ADJ
ap-1245	164	14	channel	channel	NOUN
ap-1245	164	15	symbol	symbol	NOUN
ap-1245	164	16	mapper	mapper	PROPN
ap-1245	164	17	as	as	ADP
ap-1245	164	18	and	and	CCONJ
ap-1245	164	19	a	a	DET
ap-1245	164	20	proper	proper	ADJ
ap-1245	164	21	hierarchical	hierarchical	ADJ
ap-1245	164	22	exclusive	exclusive	ADJ
ap-1245	164	23	mapper	mapper	PROPN
ap-1245	164	24	cij	cij	PROPN
ap-1245	164	25	ab	ab	PROPN
ap-1245	164	26	=	=	PUNCT
ap-1245	164	27	xc(ci	xc(ci	PROPN
ap-1245	164	28	a	a	X
ap-1245	164	29	,	,	PUNCT
ap-1245	164	30	cj	cj	PROPN
ap-1245	164	31	b)=	b)=	NOUN
ap-1245	164	32	x	x	X
ap-1245	164	33	s(si	s(si	PROPN
ap-1245	164	34	a	a	X
ap-1245	164	35	,	,	PUNCT
ap-1245	164	36	sj	sj	NOUN
ap-1245	164	37	b	b	NOUN
ap-1245	164	38	)	)	PUNCT
ap-1245	164	39	,	,	PUNCT
ap-1245	164	40	which	which	PRON
ap-1245	164	41	will	will	AUX
ap-1245	164	42	jointly	jointly	ADV
ap-1245	164	43	prevent	prevent	VERB
ap-1245	164	44	the	the	DET
ap-1245	164	45	possibility	possibility	NOUN
ap-1245	164	46	of	of	ADP
ap-1245	164	47	violation	violation	NOUN
ap-1245	164	48	of	of	ADP
ap-1245	164	49	the	the	DET
ap-1245	164	50	exclusive	exclusive	ADJ
ap-1245	164	51	law	law	NOUN
ap-1245	164	52	for	for	ADP
ap-1245	164	53	arbitrary	arbitrary	ADJ
ap-1245	164	54	channel	channel	NOUN
ap-1245	164	55	parameter	parameter	NOUN
ap-1245	164	56	α	α	NOUN
ap-1245	164	57	.	.	PUNCT
ap-1245	165	1	s1	s1	PROPN
ap-1245	165	2	s2	s2	PROPN
ap-1245	165	3	s3	s3	PROPN
ap-1245	165	4	s4	s4	PROPN
ap-1245	165	5	as	as	ADP
ap-1245	165	6	(	(	PUNCT
ap-1245	165	7	−1	−1	NOUN
ap-1245	165	8	,	,	PUNCT
ap-1245	165	9	1	1	NUM
ap-1245	165	10	)	)	PUNCT
ap-1245	165	11	(	(	PUNCT
ap-1245	165	12	1	1	NUM
ap-1245	165	13	,	,	PUNCT
ap-1245	165	14	1	1	NUM
ap-1245	165	15	)	)	PUNCT
ap-1245	165	16	(	(	PUNCT
ap-1245	165	17	−1,−1	−1,−1	NOUN
ap-1245	165	18	)	)	PUNCT
ap-1245	165	19	(	(	PUNCT
ap-1245	165	20	1,−1	1,−1	NUM
ap-1245	165	21	)	)	PUNCT
ap-1245	165	22	fig	fig	NOUN
ap-1245	165	23	.	.	PUNCT
ap-1245	166	1	5	5	NUM
ap-1245	166	2	:	:	PUNCT
ap-1245	166	3	channel	channel	NOUN
ap-1245	166	4	symbol	symbol	NOUN
ap-1245	166	5	mapper	mapper	PROPN
ap-1245	166	6	(	(	PUNCT
ap-1245	166	7	as	as	ADP
ap-1245	166	8	)	)	PUNCT
ap-1245	166	9	and	and	CCONJ
ap-1245	166	10	the	the	DET
ap-1245	166	11	resulting	result	VERB
ap-1245	166	12	constellation	constellation	NOUN
ap-1245	166	13	space	space	NOUN
ap-1245	166	14	patterns	pattern	NOUN
ap-1245	166	15	(	(	PUNCT
ap-1245	166	16	u	u	NOUN
ap-1245	166	17	′i	′i	NOUN
ap-1245	166	18	re	re	NOUN
ap-1245	166	19	)	)	PUNCT
ap-1245	166	20	for	for	ADP
ap-1245	166	21	the	the	DET
ap-1245	166	22	example	example	NOUN
ap-1245	166	23	of	of	ADP
ap-1245	166	24	pihxa	pihxa	NOUN
ap-1245	166	25	here	here	ADV
ap-1245	166	26	we	we	PRON
ap-1245	166	27	show	show	VERB
ap-1245	166	28	an	an	DET
ap-1245	166	29	example	example	NOUN
ap-1245	166	30	of	of	ADP
ap-1245	166	31	a	a	DET
ap-1245	166	32	two	two	NUM
ap-1245	166	33	-	-	PUNCT
ap-1245	166	34	dimensional	dimensional	ADJ
ap-1245	166	35	4ary	4ary	NOUN
ap-1245	166	36	(	(	PUNCT
ap-1245	166	37	|as|	|as|	PROPN
ap-1245	166	38	=	=	SYM
ap-1245	166	39	|ac|	|ac|	PROPN
ap-1245	166	40	=	=	SYM
ap-1245	166	41	4	4	X
ap-1245	166	42	)	)	PUNCT
ap-1245	166	43	pi	pi	NOUN
ap-1245	166	44	-	-	PUNCT
ap-1245	166	45	hxa	hxa	ADJ
ap-1245	166	46	,	,	PUNCT
ap-1245	166	47	designed	design	VERB
ap-1245	166	48	according	accord	VERB
ap-1245	166	49	to	to	ADP
ap-1245	166	50	the	the	DET
ap-1245	166	51	assumptions	assumption	NOUN
ap-1245	166	52	given	give	VERB
ap-1245	166	53	in	in	ADP
ap-1245	166	54	this	this	DET
ap-1245	166	55	section	section	NOUN
ap-1245	166	56	.	.	PUNCT
ap-1245	167	1	the	the	DET
ap-1245	167	2	selected	select	VERB
ap-1245	167	3	constellation	constellation	NOUN
ap-1245	167	4	space	space	NOUN
ap-1245	167	5	symbols	symbol	NOUN
ap-1245	167	6	(	(	PUNCT
ap-1245	167	7	i.e.	i.e.	X
ap-1245	167	8	the	the	DET
ap-1245	167	9	chosen	choose	VERB
ap-1245	167	10	channel	channel	NOUN
ap-1245	167	11	symbol	symbol	NOUN
ap-1245	167	12	mapper	mapper	PROPN
ap-1245	167	13	as	as	ADP
ap-1245	167	14	)	)	PUNCT
ap-1245	167	15	and	and	CCONJ
ap-1245	167	16	the	the	DET
ap-1245	167	17	resulting	result	VERB
ap-1245	167	18	constellation	constellation	NOUN
ap-1245	167	19	space	space	NOUN
ap-1245	167	20	patterns	pattern	NOUN
ap-1245	167	21	(	(	PUNCT
ap-1245	167	22	u	u	NOUN
ap-1245	167	23	′i	′i	NOUN
ap-1245	167	24	re	re	NOUN
ap-1245	167	25	)	)	PUNCT
ap-1245	167	26	are	be	AUX
ap-1245	167	27	depicted	depict	VERB
ap-1245	167	28	in	in	ADP
ap-1245	167	29	fig	fig	NOUN
ap-1245	167	30	.	.	PUNCT
ap-1245	168	1	5	5	X
ap-1245	168	2	.	.	PUNCT
ap-1245	168	3	the	the	DET
ap-1245	168	4	final	final	ADJ
ap-1245	168	5	task	task	NOUN
ap-1245	168	6	of	of	ADP
ap-1245	168	7	the	the	DET
ap-1245	168	8	example	example	NOUN
ap-1245	168	9	of	of	ADP
ap-1245	168	10	geometrical	geometrical	ADJ
ap-1245	168	11	pi	pi	NOUN
ap-1245	168	12	-	-	PUNCT
ap-1245	168	13	hxa	hxa	NOUN
ap-1245	168	14	design	design	NOUN
ap-1245	168	15	is	be	AUX
ap-1245	168	16	a	a	DET
ap-1245	168	17	proper	proper	ADJ
ap-1245	168	18	choice	choice	NOUN
ap-1245	168	19	of	of	ADP
ap-1245	168	20	the	the	DET
ap-1245	168	21	hierarchical	hierarchical	ADJ
ap-1245	168	22	exclusive	exclusive	ADJ
ap-1245	168	23	mapper	mapper	NOUN
ap-1245	168	24	.	.	PUNCT
ap-1245	169	1	the	the	DET
ap-1245	169	2	selection	selection	NOUN
ap-1245	169	3	of	of	ADP
ap-1245	169	4	a	a	DET
ap-1245	169	5	suitable	suitable	ADJ
ap-1245	169	6	hierarchical	hierarchical	ADJ
ap-1245	169	7	exclusive	exclusive	ADJ
ap-1245	169	8	mapper	mapper	NOUN
ap-1245	169	9	can	can	AUX
ap-1245	169	10	be	be	AUX
ap-1245	169	11	visualized	visualize	VERB
ap-1245	169	12	as	as	ADP
ap-1245	169	13	a	a	DET
ap-1245	169	14	“	"	PUNCT
ap-1245	169	15	colouring	colouring	NOUN
ap-1245	169	16	”	"	PUNCT
ap-1245	169	17	(	(	PUNCT
ap-1245	169	18	partitioning	partitioning	NOUN
ap-1245	169	19	)	)	PUNCT
ap-1245	169	20	process	process	NOUN
ap-1245	169	21	of	of	ADP
ap-1245	169	22	the	the	DET
ap-1245	169	23	constellation	constellation	NOUN
ap-1245	169	24	space	space	NOUN
ap-1245	169	25	patterns	pattern	NOUN
ap-1245	169	26	.	.	PUNCT
ap-1245	170	1	a	a	DET
ap-1245	170	2	visualization	visualization	NOUN
ap-1245	170	3	of	of	ADP
ap-1245	170	4	this	this	DET
ap-1245	170	5	colouring	colouring	NOUN
ap-1245	170	6	process	process	NOUN
ap-1245	170	7	for	for	ADP
ap-1245	170	8	the	the	DET
ap-1245	170	9	example	example	NOUN
ap-1245	170	10	of	of	ADP
ap-1245	170	11	pi	pi	NOUN
ap-1245	170	12	-	-	PUNCT
ap-1245	170	13	hxa	hxa	NOUN
ap-1245	170	14	from	from	ADP
ap-1245	170	15	fig	fig	NOUN
ap-1245	170	16	.	.	PUNCT
ap-1245	171	1	5	5	NUM
ap-1245	171	2	is	be	AUX
ap-1245	171	3	presented	present	VERB
ap-1245	171	4	in	in	ADP
ap-1245	171	5	fig	fig	NOUN
ap-1245	171	6	.	.	PUNCT
ap-1245	172	1	6	6	NUM
ap-1245	172	2	.	.	X
ap-1245	172	3	the	the	DET
ap-1245	172	4	resulting	result	VERB
ap-1245	172	5	hierarchical	hierarchical	ADJ
ap-1245	172	6	exclusive	exclusive	ADJ
ap-1245	172	7	mapper	mapper	NOUN
ap-1245	172	8	xs(si	xs(si	PROPN
ap-1245	173	1	a	a	X
ap-1245	173	2	,	,	PUNCT
ap-1245	173	3	sj	sj	NOUN
ap-1245	173	4	b	b	NOUN
ap-1245	173	5	)	)	PUNCT
ap-1245	173	6	corresponds	correspond	VERB
ap-1245	173	7	to	to	ADP
ap-1245	173	8	a	a	DET
ap-1245	173	9	bit	bit	NOUN
ap-1245	173	10	-	-	PUNCT
ap-1245	173	11	wise	wise	ADJ
ap-1245	173	12	xor	xor	PROPN
ap-1245	173	13	of	of	ADP
ap-1245	173	14	the	the	DET
ap-1245	173	15	symbol	symbol	NOUN
ap-1245	173	16	indices	indice	VERB
ap-1245	173	17	(	(	PUNCT
ap-1245	173	18	i	i	PRON
ap-1245	173	19	∈	∈	PROPN
ap-1245	173	20	{	{	PUNCT
ap-1245	173	21	1	1	NUM
ap-1245	173	22	,	,	PUNCT
ap-1245	173	23	2	2	NUM
ap-1245	173	24	,	,	PUNCT
ap-1245	173	25	.	.	PUNCT
ap-1245	173	26	.	.	PUNCT
ap-1245	173	27	.	.	PUNCT
ap-1245	174	1	|as|	|as|	X
ap-1245	174	2	}	}	PUNCT
ap-1245	174	3	)	)	PUNCT
ap-1245	174	4	.	.	PUNCT
ap-1245	175	1	6	6	NUM
ap-1245	175	2	numerical	numerical	ADJ
ap-1245	175	3	results	result	NOUN
ap-1245	175	4	to	to	PART
ap-1245	175	5	show	show	VERB
ap-1245	175	6	the	the	DET
ap-1245	175	7	viability	viability	NOUN
ap-1245	175	8	of	of	ADP
ap-1245	175	9	the	the	DET
ap-1245	175	10	layered	layer	VERB
ap-1245	175	11	hxc	hxc	PROPN
ap-1245	175	12	design	design	NOUN
ap-1245	175	13	in	in	ADP
ap-1245	175	14	a	a	DET
ap-1245	175	15	parametric	parametric	ADJ
ap-1245	175	16	2	2	NUM
ap-1245	175	17	-	-	PUNCT
ap-1245	175	18	wrc	wrc	NOUN
ap-1245	175	19	with	with	ADP
ap-1245	175	20	hdf	hdf	PROPN
ap-1245	175	21	strategy	strategy	NOUN
ap-1245	175	22	we	we	PRON
ap-1245	175	23	present	present	VERB
ap-1245	175	24	some	some	DET
ap-1245	175	25	numerical	numerical	ADJ
ap-1245	175	26	evaluations	evaluation	NOUN
ap-1245	175	27	of	of	ADP
ap-1245	175	28	the	the	DET
ap-1245	175	29	mutual	mutual	ADJ
ap-1245	175	30	information	information	NOUN
ap-1245	175	31	(	(	PUNCT
ap-1245	175	32	capacity	capacity	NOUN
ap-1245	175	33	)	)	PUNCT
ap-1245	175	34	and	and	CCONJ
ap-1245	175	35	the	the	DET
ap-1245	175	36	minimum	minimum	ADJ
ap-1245	175	37	squared	square	VERB
ap-1245	175	38	distance	distance	NOUN
ap-1245	175	39	of	of	ADP
ap-1245	175	40	the	the	DET
ap-1245	175	41	example	example	NOUN
ap-1245	175	42	of	of	ADP
ap-1245	175	43	pi	pi	NOUN
ap-1245	175	44	-	-	PUNCT
ap-1245	175	45	hxa	hxa	NOUN
ap-1245	175	46	design	design	NOUN
ap-1245	175	47	from	from	ADP
ap-1245	175	48	fig	fig	NOUN
ap-1245	175	49	.	.	PUNCT
ap-1245	176	1	5	5	NUM
ap-1245	176	2	.	.	NOUN
ap-1245	176	3	6.1	6.1	NUM
ap-1245	176	4	mutual	mutual	ADJ
ap-1245	176	5	information	information	NOUN
ap-1245	176	6	(	(	PUNCT
ap-1245	176	7	capacity	capacity	NOUN
ap-1245	176	8	)	)	PUNCT
ap-1245	176	9	we	we	PRON
ap-1245	176	10	evaluate	evaluate	VERB
ap-1245	176	11	the	the	DET
ap-1245	176	12	hierarchical	hierarchical	ADJ
ap-1245	176	13	and	and	CCONJ
ap-1245	176	14	single	single	ADJ
ap-1245	176	15	-	-	PUNCT
ap-1245	176	16	user	user	NOUN
ap-1245	176	17	(	(	PUNCT
ap-1245	176	18	alphabet	alphabet	PROPN
ap-1245	176	19	limited	limited	ADJ
ap-1245	176	20	cut	cut	NOUN
ap-1245	176	21	-	-	PUNCT
ap-1245	176	22	set	set	VERB
ap-1245	176	23	bound	bind	VERB
ap-1245	176	24	)	)	PUNCT
ap-1245	176	25	rates	rate	NOUN
ap-1245	176	26	(	(	PUNCT
ap-1245	176	27	fig	fig	NOUN
ap-1245	176	28	.	.	PUNCT
ap-1245	177	1	7	7	NUM
ap-1245	177	2	)	)	PUNCT
ap-1245	177	3	for	for	ADP
ap-1245	177	4	an	an	DET
ap-1245	177	5	example	example	NOUN
ap-1245	177	6	alphabet	alphabet	NOUN
ap-1245	177	7	as	as	ADP
ap-1245	177	8	(	(	PUNCT
ap-1245	177	9	see	see	VERB
ap-1245	177	10	fig	fig	NOUN
ap-1245	177	11	.	.	PUNCT
ap-1245	178	1	5	5	NUM
ap-1245	178	2	)	)	PUNCT
ap-1245	178	3	and	and	CCONJ
ap-1245	178	4	various	various	ADJ
ap-1245	178	5	channel	channel	PROPN
ap-1245	178	6	sa	sa	PROPN
ap-1245	178	7	sb	sb	PROPN
ap-1245	178	8	sa	sa	PROPN
ap-1245	178	9	sb	sb	PROPN
ap-1245	178	10	sa	sa	PROPN
ap-1245	178	11	sb	sb	PROPN
ap-1245	178	12	sa	sa	PROPN
ap-1245	178	13	sb	sb	PROPN
ap-1245	178	14	fig	fig	PROPN
ap-1245	178	15	.	.	PUNCT
ap-1245	179	1	6	6	NUM
ap-1245	179	2	:	:	PUNCT
ap-1245	179	3	design	design	NOUN
ap-1245	179	4	of	of	ADP
ap-1245	179	5	a	a	DET
ap-1245	179	6	suitable	suitable	ADJ
ap-1245	179	7	hierarchical	hierarchical	ADJ
ap-1245	179	8	exclusive	exclusive	ADJ
ap-1245	179	9	mapper	mapper	NOUN
ap-1245	179	10	xs(s	xs(s	PUNCT
ap-1245	180	1	i	i	PRON
ap-1245	180	2	a	a	PRON
ap-1245	180	3	,	,	PUNCT
ap-1245	180	4	sj	sj	NOUN
ap-1245	180	5	b	b	NOUN
ap-1245	180	6	)	)	PUNCT
ap-1245	180	7	for	for	ADP
ap-1245	180	8	the	the	DET
ap-1245	180	9	example	example	NOUN
ap-1245	180	10	of	of	ADP
ap-1245	180	11	pi	pi	NOUN
ap-1245	180	12	-	-	PUNCT
ap-1245	180	13	hxa	hxa	NOUN
ap-1245	180	14	from	from	ADP
ap-1245	180	15	fig	fig	NOUN
ap-1245	180	16	.	.	PUNCT
ap-1245	181	1	5	5	X
ap-1245	181	2	.	.	X
ap-1245	181	3	the	the	DET
ap-1245	181	4	resulting	result	VERB
ap-1245	181	5	hierarchical	hierarchical	ADJ
ap-1245	181	6	exclusive	exclusive	ADJ
ap-1245	181	7	mapper	mapper	NOUN
ap-1245	181	8	corresponds	correspond	VERB
ap-1245	181	9	to	to	ADP
ap-1245	181	10	a	a	DET
ap-1245	181	11	bit	bit	NOUN
ap-1245	181	12	-	-	PUNCT
ap-1245	181	13	wise	wise	ADJ
ap-1245	181	14	xor	xor	PROPN
ap-1245	181	15	of	of	ADP
ap-1245	181	16	the	the	DET
ap-1245	181	17	symbol	symbol	NOUN
ap-1245	181	18	indices	indice	VERB
ap-1245	181	19	(	(	PUNCT
ap-1245	181	20	i	i	PRON
ap-1245	181	21	∈	∈	PROPN
ap-1245	181	22	{	{	PUNCT
ap-1245	181	23	1	1	NUM
ap-1245	181	24	,	,	PUNCT
ap-1245	181	25	2	2	NUM
ap-1245	181	26	,	,	PUNCT
ap-1245	181	27	.	.	PUNCT
ap-1245	181	28	.	.	PUNCT
ap-1245	181	29	.	.	PUNCT
ap-1245	182	1	|as|	|as|	X
ap-1245	182	2	}	}	PUNCT
ap-1245	182	3	)	)	PUNCT
ap-1245	182	4	84	84	NUM
ap-1245	182	5	acta	acta	PROPN
ap-1245	182	6	polytechnica	polytechnica	PROPN
ap-1245	182	7	vol	vol	NOUN
ap-1245	182	8	.	.	PROPN
ap-1245	183	1	50	50	NUM
ap-1245	183	2	no	no	NOUN
ap-1245	183	3	.	.	PUNCT
ap-1245	184	1	4/2010	4/2010	NUM
ap-1245	184	2	−10	−10	X
ap-1245	185	1	−5	−5	ADV
ap-1245	185	2	0	0	NUM
ap-1245	185	3	5	5	NUM
ap-1245	185	4	10	10	NUM
ap-1245	185	5	15	15	NUM
ap-1245	185	6	20	20	NUM
ap-1245	185	7	0	0	NUM
ap-1245	185	8	0.5	0.5	NUM
ap-1245	185	9	1	1	NUM
ap-1245	185	10	1.5	1.5	NUM
ap-1245	185	11	2	2	NUM
ap-1245	185	12	2.5	2.5	NUM
ap-1245	185	13	3	3	NUM
ap-1245	185	14	snr	snr	PROPN
ap-1245	185	15	γ	γ	X
ap-1245	185	16	x	x	PUNCT
ap-1245	186	1	[	[	X
ap-1245	186	2	db	db	X
ap-1245	186	3	]	]	X
ap-1245	186	4	[	[	X
ap-1245	186	5	b	b	X
ap-1245	186	6	it/	it/	NOUN
ap-1245	186	7	sy	sy	INTJ
ap-1245	186	8	m	m	NOUN
ap-1245	186	9	bo	bo	PROPN
ap-1245	186	10	l	l	PROPN
ap-1245	186	11	]	]	PUNCT
ap-1245	186	12	h−mac	h−mac	NOUN
ap-1245	186	13	capacity	capacity	NOUN
ap-1245	186	14	for	for	ADP
ap-1245	186	15	alphabets	alphabet	NOUN
ap-1245	186	16	m2n4−hxa−c1	m2n4−hxa−c1	ADV
ap-1245	186	17	eψ[c	eψ[c	PROPN
ap-1245	186	18	ab	ab	PROPN
ap-1245	186	19	(	(	PUNCT
ap-1245	186	20	ψ	ψ	NOUN
ap-1245	186	21	)	)	PUNCT
ap-1245	186	22	]	]	X
ap-1245	186	23	minψ[c	minψ[c	PROPN
ap-1245	186	24	ab	ab	PROPN
ap-1245	186	25	(	(	PUNCT
ap-1245	186	26	ψ	ψ	NOUN
ap-1245	186	27	)	)	PUNCT
ap-1245	186	28	]	]	PUNCT
ap-1245	186	29	maxψ[c	maxψ[c	PROPN
ap-1245	186	30	ab	ab	PROPN
ap-1245	186	31	(	(	PUNCT
ap-1245	186	32	ψ	ψ	NOUN
ap-1245	186	33	)	)	PUNCT
ap-1245	186	34	]	]	PUNCT
ap-1245	187	1	c	c	X
ap-1245	187	2	ab	ab	PROPN
ap-1245	187	3	(	(	PUNCT
ap-1245	187	4	ψ=0	ψ=0	PROPN
ap-1245	187	5	)	)	PUNCT
ap-1245	187	6	c	c	NOUN
ap-1245	187	7	0	0	NUM
ap-1245	187	8	cut−set	cut−set	VERB
ap-1245	187	9	bound	bind	VERB
ap-1245	187	10	finite	finite	NOUN
ap-1245	187	11	alph	alph	VERB
ap-1245	187	12	c	c	PROPN
ap-1245	187	13	s	s	NOUN
ap-1245	187	14	sum−rate	sum−rate	PROPN
ap-1245	187	15	/	/	SYM
ap-1245	187	16	user	user	NOUN
ap-1245	187	17	bound	bind	VERB
ap-1245	187	18	finite	finite	PROPN
ap-1245	187	19	alph	alph	VERB
ap-1245	187	20	c	c	NOUN
ap-1245	187	21	u	u	NOUN
ap-1245	187	22	cut−set	cut−set	VERB
ap-1245	187	23	bound	bind	VERB
ap-1245	187	24	gauss	gauss	PROPN
ap-1245	187	25	alph	alph	VERB
ap-1245	187	26	fig	fig	NOUN
ap-1245	187	27	.	.	PUNCT
ap-1245	188	1	7	7	NUM
ap-1245	188	2	:	:	PUNCT
ap-1245	188	3	capacity	capacity	NOUN
ap-1245	188	4	(	(	PUNCT
ap-1245	188	5	mutual	mutual	ADJ
ap-1245	188	6	information	information	NOUN
ap-1245	188	7	)	)	PUNCT
ap-1245	188	8	for	for	ADP
ap-1245	188	9	the	the	DET
ap-1245	188	10	example	example	NOUN
ap-1245	188	11	of	of	ADP
ap-1245	188	12	pi	pi	NOUN
ap-1245	188	13	-	-	PUNCT
ap-1245	188	14	hxa	hxa	NOUN
ap-1245	188	15	from	from	ADP
ap-1245	188	16	fig	fig	NOUN
ap-1245	188	17	.	.	PUNCT
ap-1245	189	1	5	5	NUM
ap-1245	189	2	parametrization	parametrization	NOUN
ap-1245	189	3	.	.	PUNCT
ap-1245	190	1	the	the	DET
ap-1245	190	2	signal	signal	NOUN
ap-1245	190	3	-	-	PUNCT
ap-1245	190	4	to	to	ADP
ap-1245	190	5	-	-	PUNCT
ap-1245	190	6	noise	noise	NOUN
ap-1245	190	7	ratio	ratio	NOUN
ap-1245	190	8	(	(	PUNCT
ap-1245	190	9	snr	snr	PROPN
ap-1245	190	10	)	)	PUNCT
ap-1245	190	11	is	be	AUX
ap-1245	190	12	defined	define	VERB
ap-1245	190	13	as	as	ADP
ap-1245	190	14	the	the	DET
ap-1245	190	15	ratio	ratio	NOUN
ap-1245	190	16	of	of	ADP
ap-1245	190	17	the	the	DET
ap-1245	190	18	real	real	ADJ
ap-1245	190	19	base	base	NOUN
ap-1245	190	20	-	-	PUNCT
ap-1245	190	21	band	band	NOUN
ap-1245	190	22	symbol	symbol	NOUN
ap-1245	190	23	energy	energy	NOUN
ap-1245	190	24	of	of	ADP
ap-1245	190	25	one	one	NUM
ap-1245	190	26	source	source	NOUN
ap-1245	190	27	(	(	PUNCT
ap-1245	190	28	e.g.	e.g.	ADV
ap-1245	190	29	a	a	X
ap-1245	190	30	,	,	PUNCT
ap-1245	190	31	to	to	PART
ap-1245	190	32	have	have	VERB
ap-1245	190	33	a	a	DET
ap-1245	190	34	fair	fair	ADJ
ap-1245	190	35	comparison	comparison	NOUN
ap-1245	190	36	for	for	ADP
ap-1245	190	37	reference	reference	NOUN
ap-1245	190	38	cases	case	NOUN
ap-1245	190	39	)	)	PUNCT
ap-1245	190	40	to	to	ADP
ap-1245	190	41	the	the	DET
ap-1245	190	42	noise	noise	NOUN
ap-1245	190	43	power	power	NOUN
ap-1245	190	44	spectrum	spectrum	NOUN
ap-1245	190	45	density	density	NOUN
ap-1245	190	46	ratio	ratio	NOUN
ap-1245	190	47	γ	γ	X
ap-1245	190	48	=	=	SYM
ap-1245	190	49	(	(	PUNCT
ap-1245	190	50	ēsa/2	ēsa/2	X
ap-1245	190	51	)	)	PUNCT
ap-1245	190	52	/n0	/n0	PUNCT
ap-1245	190	53	.	.	PUNCT
ap-1245	191	1	assuming	assume	VERB
ap-1245	191	2	orthonormal	orthonormal	ADJ
ap-1245	191	3	basis	basis	NOUN
ap-1245	191	4	signal	signal	NOUN
ap-1245	191	5	space	space	NOUN
ap-1245	191	6	complex	complex	NOUN
ap-1245	191	7	envelope	envelope	NOUN
ap-1245	191	8	representation	representation	NOUN
ap-1245	191	9	of	of	ADP
ap-1245	191	10	the	the	DET
ap-1245	191	11	awgn	awgn	NOUN
ap-1245	191	12	,	,	PUNCT
ap-1245	191	13	we	we	PRON
ap-1245	191	14	have	have	VERB
ap-1245	191	15	σ2w	σ2w	NOUN
ap-1245	191	16	=	=	SYM
ap-1245	191	17	2n0	2n0	NUM
ap-1245	191	18	and	and	CCONJ
ap-1245	191	19	thus	thus	ADV
ap-1245	191	20	γ	γ	X
ap-1245	191	21	=	=	SYM
ap-1245	191	22	e	e	X
ap-1245	191	23	[	[	PUNCT
ap-1245	191	24	‖sa‖2	‖sa‖2	PROPN
ap-1245	191	25	]	]	X
ap-1245	191	26	/σ2w	/σ2w	X
ap-1245	191	27	.	.	PUNCT
ap-1245	192	1	the	the	DET
ap-1245	192	2	alphabet	alphabet	NOUN
ap-1245	192	3	as	as	SCONJ
ap-1245	192	4	is	be	AUX
ap-1245	192	5	indexed	index	VERB
ap-1245	192	6	by	by	ADP
ap-1245	192	7	symbols	symbol	NOUN
ap-1245	192	8	ca	ca	PROPN
ap-1245	192	9	,	,	PUNCT
ap-1245	192	10	cb	cb	PROPN
ap-1245	192	11	∈	∈	PROPN
ap-1245	192	12	{	{	PUNCT
ap-1245	192	13	0	0	NUM
ap-1245	192	14	,	,	PUNCT
ap-1245	192	15	.	.	PUNCT
ap-1245	192	16	.	.	PUNCT
ap-1245	192	17	.	.	PUNCT
ap-1245	193	1	,	,	PUNCT
ap-1245	193	2	mc	mc	PROPN
ap-1245	193	3	−	−	PROPN
ap-1245	193	4	1	1	NUM
ap-1245	193	5	}	}	PUNCT
ap-1245	193	6	.	.	PUNCT
ap-1245	194	1	the	the	DET
ap-1245	194	2	exclusive	exclusive	ADJ
ap-1245	194	3	hierarchical	hierarchical	ADJ
ap-1245	194	4	mapping	mapping	NOUN
ap-1245	194	5	corresponds	correspond	VERB
ap-1245	194	6	to	to	ADP
ap-1245	194	7	a	a	DET
ap-1245	194	8	bit	bit	NOUN
ap-1245	194	9	-	-	PUNCT
ap-1245	194	10	wise	wise	ADJ
ap-1245	194	11	xor	xor	PROPN
ap-1245	194	12	of	of	ADP
ap-1245	194	13	the	the	DET
ap-1245	194	14	symbol	symbol	NOUN
ap-1245	194	15	indices	index	NOUN
ap-1245	194	16	(	(	PUNCT
ap-1245	194	17	fig	fig	NOUN
ap-1245	194	18	.	.	PUNCT
ap-1245	195	1	6	6	NUM
ap-1245	195	2	)	)	PUNCT
ap-1245	195	3	.	.	PUNCT
ap-1245	196	1	the	the	DET
ap-1245	196	2	graph	graph	NOUN
ap-1245	196	3	(	(	PUNCT
ap-1245	196	4	fig	fig	NOUN
ap-1245	196	5	.	.	PUNCT
ap-1245	196	6	7	7	X
ap-1245	196	7	)	)	PUNCT
ap-1245	196	8	shows	show	VERB
ap-1245	196	9	the	the	DET
ap-1245	196	10	classical	classical	ADJ
ap-1245	196	11	mac	mac	NOUN
ap-1245	196	12	cutset	cutset	NOUN
ap-1245	196	13	bounds	bound	NOUN
ap-1245	196	14	(	(	PUNCT
ap-1245	196	15	1st	1st	ADJ
ap-1245	196	16	and	and	CCONJ
ap-1245	196	17	2nd	2nd	ADJ
ap-1245	196	18	order	order	NOUN
ap-1245	196	19	)	)	PUNCT
ap-1245	196	20	related	relate	VERB
ap-1245	196	21	to	to	ADP
ap-1245	196	22	one	one	NUM
ap-1245	196	23	user	user	NOUN
ap-1245	196	24	in	in	ADP
ap-1245	196	25	comparison	comparison	NOUN
ap-1245	196	26	to	to	ADP
ap-1245	196	27	the	the	DET
ap-1245	196	28	capacity	capacity	NOUN
ap-1245	196	29	of	of	ADP
ap-1245	196	30	the	the	DET
ap-1245	196	31	hdf	hdf	PROPN
ap-1245	196	32	strategy	strategy	NOUN
ap-1245	196	33	with	with	ADP
ap-1245	196	34	the	the	DET
ap-1245	196	35	example	example	NOUN
ap-1245	196	36	of	of	ADP
ap-1245	196	37	pi	pi	NOUN
ap-1245	196	38	-	-	PUNCT
ap-1245	196	39	hxa	hxa	NOUN
ap-1245	196	40	.	.	PUNCT
ap-1245	197	1	the	the	DET
ap-1245	197	2	hdf	hdf	PROPN
ap-1245	197	3	capacity	capacity	NOUN
ap-1245	197	4	is	be	AUX
ap-1245	197	5	parametrized	parametrize	VERB
ap-1245	197	6	by	by	ADP
ap-1245	197	7	the	the	DET
ap-1245	197	8	actual	actual	ADJ
ap-1245	197	9	relative	relative	ADJ
ap-1245	197	10	phase	phase	NOUN
ap-1245	197	11	shift	shift	NOUN
ap-1245	197	12	of	of	ADP
ap-1245	197	13	the	the	DET
ap-1245	197	14	source	source	NOUN
ap-1245	197	15	-	-	PUNCT
ap-1245	197	16	relay	relay	NOUN
ap-1245	197	17	channels	channel	NOUN
ap-1245	197	18	,	,	PUNCT
ap-1245	197	19	while	while	SCONJ
ap-1245	197	20	the	the	DET
ap-1245	197	21	amplitude	amplitude	NOUN
ap-1245	197	22	is	be	AUX
ap-1245	197	23	kept	keep	VERB
ap-1245	197	24	constant	constant	ADJ
ap-1245	197	25	|α|	|α|	NOUN
ap-1245	197	26	in	in	ADP
ap-1245	197	27	our	our	PRON
ap-1245	197	28	setup	setup	NOUN
ap-1245	197	29	(	(	PUNCT
ap-1245	197	30	to	to	PART
ap-1245	197	31	respect	respect	VERB
ap-1245	197	32	the	the	DET
ap-1245	197	33	symmetry	symmetry	NOUN
ap-1245	197	34	of	of	ADP
ap-1245	197	35	the	the	DET
ap-1245	197	36	rates	rate	NOUN
ap-1245	197	37	from	from	ADP
ap-1245	197	38	a	a	PRON
ap-1245	197	39	and	and	CCONJ
ap-1245	197	40	b	b	NOUN
ap-1245	197	41	)	)	PUNCT
ap-1245	197	42	.	.	PUNCT
ap-1245	198	1	we	we	PRON
ap-1245	198	2	show	show	VERB
ap-1245	198	3	the	the	DET
ap-1245	198	4	minimal	minimal	ADJ
ap-1245	198	5	,	,	PUNCT
ap-1245	198	6	maximal	maximal	ADJ
ap-1245	198	7	and	and	CCONJ
ap-1245	198	8	mean	mean	ADJ
ap-1245	198	9	values	value	NOUN
ap-1245	198	10	of	of	ADP
ap-1245	198	11	the	the	DET
ap-1245	198	12	hdf	hdf	PROPN
ap-1245	198	13	capacity	capacity	NOUN
ap-1245	198	14	.	.	PUNCT
ap-1245	199	1	the	the	DET
ap-1245	199	2	results	result	NOUN
ap-1245	199	3	were	be	AUX
ap-1245	199	4	obtained	obtain	VERB
ap-1245	199	5	by	by	ADP
ap-1245	199	6	the	the	DET
ap-1245	199	7	technique	technique	NOUN
ap-1245	199	8	shown	show	VERB
ap-1245	199	9	in	in	ADP
ap-1245	199	10	[	[	X
ap-1245	199	11	3	3	NUM
ap-1245	199	12	]	]	PUNCT
ap-1245	199	13	,	,	PUNCT
ap-1245	199	14	where	where	SCONJ
ap-1245	199	15	details	detail	NOUN
ap-1245	199	16	can	can	AUX
ap-1245	199	17	be	be	AUX
ap-1245	199	18	found	find	VERB
ap-1245	199	19	.	.	PUNCT
ap-1245	200	1	it	it	PRON
ap-1245	200	2	is	be	AUX
ap-1245	200	3	obvious	obvious	ADJ
ap-1245	200	4	from	from	ADP
ap-1245	200	5	fig	fig	NOUN
ap-1245	200	6	.	.	PUNCT
ap-1245	201	1	7	7	NUM
ap-1245	202	1	that	that	PRON
ap-1245	202	2	the	the	DET
ap-1245	202	3	hdf	hdf	PROPN
ap-1245	202	4	capacity	capacity	NOUN
ap-1245	202	5	approaches	approach	VERB
ap-1245	202	6	the	the	DET
ap-1245	202	7	alphabet	alphabet	NOUN
ap-1245	202	8	constrained	constrain	VERB
ap-1245	202	9	cut	cut	NOUN
ap-1245	202	10	-	-	PUNCT
ap-1245	202	11	set	set	VERB
ap-1245	202	12	bound	bind	VERB
ap-1245	202	13	limit	limit	NOUN
ap-1245	202	14	for	for	ADP
ap-1245	202	15	medium	medium	NOUN
ap-1245	202	16	to	to	ADP
ap-1245	202	17	high	high	ADJ
ap-1245	202	18	snr	snr	NOUN
ap-1245	202	19	.	.	PUNCT
ap-1245	203	1	for	for	ADP
ap-1245	203	2	snr	snr	PROPN
ap-1245	203	3	values	value	NOUN
ap-1245	203	4	above	above	ADP
ap-1245	203	5	approximately	approximately	ADV
ap-1245	203	6	2	2	NUM
ap-1245	203	7	db	db	ADP
ap-1245	203	8	the	the	DET
ap-1245	203	9	capacity	capacity	NOUN
ap-1245	203	10	outperforms	outperform	VERB
ap-1245	203	11	the	the	DET
ap-1245	203	12	classical	classical	ADJ
ap-1245	203	13	mac	mac	NOUN
ap-1245	203	14	capacity	capacity	NOUN
ap-1245	203	15	,	,	PUNCT
ap-1245	203	16	irrespective	irrespective	ADV
ap-1245	203	17	of	of	ADP
ap-1245	203	18	the	the	DET
ap-1245	203	19	channel	channel	NOUN
ap-1245	203	20	parametrization	parametrization	NOUN
ap-1245	203	21	(	(	PUNCT
ap-1245	203	22	relative	relative	ADJ
ap-1245	203	23	phase	phase	NOUN
ap-1245	203	24	shift	shift	NOUN
ap-1245	203	25	of	of	ADP
ap-1245	203	26	the	the	DET
ap-1245	203	27	sourcerelay	sourcerelay	ADJ
ap-1245	203	28	channel	channel	NOUN
ap-1245	203	29	)	)	PUNCT
ap-1245	203	30	,	,	PUNCT
ap-1245	203	31	which	which	PRON
ap-1245	203	32	has	have	VERB
ap-1245	203	33	only	only	ADV
ap-1245	203	34	a	a	DET
ap-1245	203	35	minor	minor	ADJ
ap-1245	203	36	impact	impact	NOUN
ap-1245	203	37	on	on	ADP
ap-1245	203	38	the	the	DET
ap-1245	203	39	resulting	result	VERB
ap-1245	203	40	performance	performance	NOUN
ap-1245	203	41	.	.	PUNCT
ap-1245	204	1	6.2	6.2	NUM
ap-1245	204	2	minimum	minimum	NOUN
ap-1245	204	3	distance	distance	NOUN
ap-1245	204	4	the	the	DET
ap-1245	204	5	minimum	minimum	ADJ
ap-1245	204	6	distance	distance	NOUN
ap-1245	204	7	performance	performance	NOUN
ap-1245	204	8	is	be	AUX
ap-1245	204	9	quite	quite	ADV
ap-1245	204	10	closely	closely	ADV
ap-1245	204	11	connected	connect	VERB
ap-1245	204	12	with	with	ADP
ap-1245	204	13	the	the	DET
ap-1245	204	14	error	error	NOUN
ap-1245	204	15	rate	rate	NOUN
ap-1245	204	16	of	of	ADP
ap-1245	204	17	the	the	DET
ap-1245	204	18	whole	whole	ADJ
ap-1245	204	19	system	system	NOUN
ap-1245	204	20	[	[	X
ap-1245	204	21	8	8	NUM
ap-1245	204	22	]	]	PUNCT
ap-1245	204	23	.	.	PUNCT
ap-1245	205	1	we	we	PRON
ap-1245	205	2	define	define	VERB
ap-1245	205	3	the	the	DET
ap-1245	205	4	minimum	minimum	ADJ
ap-1245	205	5	squared	square	VERB
ap-1245	205	6	distance	distance	NOUN
ap-1245	205	7	as	as	ADP
ap-1245	205	8	:	:	PUNCT
ap-1245	205	9	d2min	d2min	PROPN
ap-1245	205	10	=	=	SYM
ap-1245	205	11	min	min	NOUN
ap-1245	205	12	xs(sa	xs(sa	PROPN
ap-1245	205	13	,	,	PUNCT
ap-1245	205	14	sb	sb	PROPN
ap-1245	205	15	)	)	PUNCT
ap-1245	205	16	�	�	PROPN
ap-1245	205	17	=	=	NOUN
ap-1245	205	18	xs(ŝa	xs(ŝa	PROPN
ap-1245	205	19	,	,	PUNCT
ap-1245	205	20	ŝb	ŝb	X
ap-1245	205	21	)	)	PUNCT
ap-1245	205	22	d2(sa	d2(sa	PROPN
ap-1245	205	23	,	,	PUNCT
ap-1245	205	24	sb)−(ŝa	sb)−(ŝa	PROPN
ap-1245	205	25	,	,	PUNCT
ap-1245	205	26	ŝb	ŝb	NOUN
ap-1245	205	27	)	)	PUNCT
ap-1245	205	28	,	,	PUNCT
ap-1245	205	29	(	(	PUNCT
ap-1245	205	30	21	21	NUM
ap-1245	205	31	)	)	PUNCT
ap-1245	205	32	where	where	SCONJ
ap-1245	205	33	d2	d2	PROPN
ap-1245	205	34	is	be	AUX
ap-1245	205	35	the	the	DET
ap-1245	205	36	squared	square	VERB
ap-1245	205	37	euclidean	euclidean	ADJ
ap-1245	205	38	distance	distance	NOUN
ap-1245	205	39	between	between	ADP
ap-1245	205	40	the	the	DET
ap-1245	205	41	useful	useful	ADJ
ap-1245	205	42	signal	signal	NOUN
ap-1245	205	43	u	u	NOUN
ap-1245	205	44	=	=	PROPN
ap-1245	205	45	sa	sa	PROPN
ap-1245	205	46	+	+	CCONJ
ap-1245	205	47	αsb	αsb	PROPN
ap-1245	205	48	and	and	CCONJ
ap-1245	205	49	its	its	PRON
ap-1245	205	50	candidate	candidate	NOUN
ap-1245	205	51	û	û	NUM
ap-1245	205	52	=	=	SYM
ap-1245	205	53	ŝa	ŝa	ADJ
ap-1245	205	54	+	+	ADV
ap-1245	205	55	αŝb	αŝb	ADV
ap-1245	205	56	:	:	PUNCT
ap-1245	205	57	d2(sa	d2(sa	PROPN
ap-1245	205	58	,	,	PUNCT
ap-1245	205	59	sb)−(ŝa	sb)−(ŝa	PROPN
ap-1245	205	60	,	,	PUNCT
ap-1245	205	61	ŝb	ŝb	X
ap-1245	205	62	)	)	PUNCT
ap-1245	205	63	=	=	PUNCT
ap-1245	205	64	‖(sa	‖(sa	AUX
ap-1245	205	65	−	−	NOUN
ap-1245	205	66	ŝa	ŝa	ADJ
ap-1245	205	67	)	)	PUNCT
ap-1245	205	68	+	+	CCONJ
ap-1245	205	69	α	α	PROPN
ap-1245	205	70	(	(	PUNCT
ap-1245	205	71	sb	sb	PROPN
ap-1245	205	72	−	−	PROPN
ap-1245	205	73	ŝb)‖2	ŝb)‖2	PROPN
ap-1245	205	74	.	.	PUNCT
ap-1245	206	1	(	(	PUNCT
ap-1245	206	2	22	22	NUM
ap-1245	206	3	)	)	PUNCT
ap-1245	206	4	fig	fig	NOUN
ap-1245	206	5	.	.	PUNCT
ap-1245	207	1	8	8	NUM
ap-1245	207	2	depicts	depict	VERB
ap-1245	207	3	the	the	DET
ap-1245	207	4	squared	squared	ADJ
ap-1245	207	5	minimum	minimum	ADJ
ap-1245	207	6	distance	distance	NOUN
ap-1245	207	7	as	as	ADP
ap-1245	207	8	a	a	DET
ap-1245	207	9	function	function	NOUN
ap-1245	207	10	of	of	ADP
ap-1245	207	11	channel	channel	NOUN
ap-1245	207	12	parameter	parameter	NOUN
ap-1245	207	13	α	α	NOUN
ap-1245	207	14	.	.	PUNCT
ap-1245	208	1	it	it	PRON
ap-1245	208	2	is	be	AUX
ap-1245	208	3	obvious	obvious	ADJ
ap-1245	208	4	from	from	ADP
ap-1245	208	5	this	this	DET
ap-1245	208	6	figure	figure	NOUN
ap-1245	208	7	,	,	PUNCT
ap-1245	208	8	that	that	SCONJ
ap-1245	208	9	the	the	DET
ap-1245	208	10	minimum	minimum	ADJ
ap-1245	208	11	squared	square	VERB
ap-1245	208	12	distance	distance	NOUN
ap-1245	208	13	is	be	AUX
ap-1245	208	14	highly	highly	ADV
ap-1245	208	15	resistant	resistant	ADJ
ap-1245	208	16	to	to	ADP
ap-1245	208	17	the	the	DET
ap-1245	208	18	relative	relative	ADJ
ap-1245	208	19	phase	phase	NOUN
ap-1245	208	20	shift	shift	NOUN
ap-1245	208	21	(	(	PUNCT
ap-1245	208	22	�	�	PROPN
ap-1245	208	23	α	α	NOUN
ap-1245	208	24	)	)	PUNCT
ap-1245	208	25	of	of	ADP
ap-1245	208	26	the	the	DET
ap-1245	208	27	source	source	NOUN
ap-1245	208	28	-	-	PUNCT
ap-1245	208	29	relay	relay	NOUN
ap-1245	208	30	channels	channel	NOUN
ap-1245	208	31	.	.	PUNCT
ap-1245	209	1	note	note	VERB
ap-1245	209	2	that	that	SCONJ
ap-1245	209	3	distance	distance	NOUN
ap-1245	209	4	shortening	shortening	NOUN
ap-1245	209	5	at	at	ADP
ap-1245	209	6	|α|	|α|	PROPN
ap-1245	209	7	→	→	SYM
ap-1245	209	8	0	0	NUM
ap-1245	209	9	is	be	AUX
ap-1245	209	10	inevitable	inevitable	ADJ
ap-1245	209	11	.	.	PUNCT
ap-1245	210	1	ℜ	ℜ	ADV
ap-1245	210	2	{	{	PUNCT
ap-1245	210	3	α	α	NOUN
ap-1245	210	4	}	}	PUNCT
ap-1245	210	5	ℑ	ℑ	PROPN
ap-1245	210	6	{	{	PUNCT
ap-1245	210	7	α	α	NOUN
ap-1245	210	8	}	}	PUNCT
ap-1245	210	9	d	d	NOUN
ap-1245	210	10	min	min	NOUN
ap-1245	210	11	2	2	NUM
ap-1245	210	12	(	(	PUNCT
ap-1245	210	13	α	α	NOUN
ap-1245	210	14	)	)	PUNCT
ap-1245	210	15	(	(	PUNCT
ap-1245	210	16	for	for	ADP
ap-1245	210	17	example	example	NOUN
ap-1245	210	18	of	of	ADP
ap-1245	210	19	pi−hxa	pi−hxa	NOUN
ap-1245	210	20	)	)	PUNCT
ap-1245	210	21	−1.5	−1.5	PROPN
ap-1245	210	22	−1	−1	NOUN
ap-1245	210	23	−0.5	−0.5	NOUN
ap-1245	210	24	0	0	NUM
ap-1245	210	25	0.5	0.5	NUM
ap-1245	210	26	1	1	NUM
ap-1245	210	27	1.5	1.5	NUM
ap-1245	210	28	−1.5	−1.5	NOUN
ap-1245	210	29	−1	−1	NOUN
ap-1245	210	30	−0.5	−0.5	NOUN
ap-1245	210	31	0	0	NUM
ap-1245	210	32	0.5	0.5	NUM
ap-1245	210	33	1	1	NUM
ap-1245	210	34	1.5	1.5	NUM
ap-1245	210	35	0.2	0.2	NUM
ap-1245	210	36	0.4	0.4	NUM
ap-1245	210	37	0.6	0.6	NUM
ap-1245	210	38	0.8	0.8	NUM
ap-1245	210	39	1	1	NUM
ap-1245	210	40	1.2	1.2	NUM
ap-1245	210	41	1.4	1.4	NUM
ap-1245	210	42	1.6	1.6	NUM
ap-1245	210	43	1.8	1.8	NUM
ap-1245	210	44	fig	fig	NOUN
ap-1245	210	45	.	.	PUNCT
ap-1245	211	1	8	8	NUM
ap-1245	211	2	:	:	PUNCT
ap-1245	211	3	minimum	minimum	NOUN
ap-1245	211	4	squared	square	VERB
ap-1245	211	5	distance	distance	NOUN
ap-1245	211	6	as	as	ADP
ap-1245	211	7	a	a	DET
ap-1245	211	8	function	function	NOUN
ap-1245	211	9	of	of	ADP
ap-1245	211	10	the	the	DET
ap-1245	211	11	channel	channel	NOUN
ap-1245	211	12	parameter	parameter	NOUN
ap-1245	211	13	(	(	PUNCT
ap-1245	211	14	for	for	ADP
ap-1245	211	15	the	the	DET
ap-1245	211	16	example	example	NOUN
ap-1245	211	17	of	of	ADP
ap-1245	211	18	pi	pi	NOUN
ap-1245	211	19	-	-	PUNCT
ap-1245	211	20	hxa	hxa	NOUN
ap-1245	211	21	from	from	ADP
ap-1245	211	22	fig	fig	NOUN
ap-1245	211	23	.	.	PUNCT
ap-1245	212	1	5	5	NUM
ap-1245	212	2	)	)	PUNCT
ap-1245	212	3	85	85	NUM
ap-1245	212	4	acta	acta	PROPN
ap-1245	212	5	polytechnica	polytechnica	PROPN
ap-1245	212	6	vol	vol	NOUN
ap-1245	212	7	.	.	PROPN
ap-1245	213	1	50	50	NUM
ap-1245	213	2	no	no	NOUN
ap-1245	213	3	.	.	PUNCT
ap-1245	214	1	4/2010	4/2010	NOUN
ap-1245	214	2	7	7	NUM
ap-1245	214	3	conclusion	conclusion	NOUN
ap-1245	214	4	the	the	DET
ap-1245	214	5	importance	importance	NOUN
ap-1245	214	6	of	of	ADP
ap-1245	214	7	finding	find	VERB
ap-1245	214	8	hxa	hxa	ADJ
ap-1245	214	9	resistant	resistant	ADJ
ap-1245	214	10	to	to	PART
ap-1245	214	11	channel	channel	VERB
ap-1245	214	12	parametrization	parametrization	NOUN
ap-1245	214	13	(	(	PUNCT
ap-1245	214	14	pi	pi	NOUN
ap-1245	214	15	-	-	PUNCT
ap-1245	214	16	hxa	hxa	NOUN
ap-1245	214	17	)	)	PUNCT
ap-1245	214	18	was	be	AUX
ap-1245	214	19	stated	state	VERB
ap-1245	214	20	in	in	ADP
ap-1245	214	21	[	[	X
ap-1245	214	22	3	3	NUM
ap-1245	214	23	]	]	PUNCT
ap-1245	214	24	.	.	PUNCT
ap-1245	215	1	it	it	PRON
ap-1245	215	2	was	be	AUX
ap-1245	215	3	observed	observe	VERB
ap-1245	215	4	there	there	ADV
ap-1245	215	5	that	that	SCONJ
ap-1245	215	6	some	some	DET
ap-1245	215	7	particular	particular	ADJ
ap-1245	215	8	channel	channel	NOUN
ap-1245	215	9	parametrization	parametrization	NOUN
ap-1245	215	10	values	value	NOUN
ap-1245	215	11	have	have	VERB
ap-1245	215	12	disastrous	disastrous	ADJ
ap-1245	215	13	effects	effect	NOUN
ap-1245	215	14	on	on	ADP
ap-1245	215	15	the	the	DET
ap-1245	215	16	system	system	NOUN
ap-1245	215	17	performance	performance	NOUN
ap-1245	215	18	(	(	PUNCT
ap-1245	215	19	significant	significant	ADJ
ap-1245	215	20	capacity	capacity	NOUN
ap-1245	215	21	degradation	degradation	NOUN
ap-1245	215	22	caused	cause	VERB
ap-1245	215	23	by	by	ADP
ap-1245	215	24	a	a	DET
ap-1245	215	25	violation	violation	NOUN
ap-1245	215	26	of	of	ADP
ap-1245	215	27	the	the	DET
ap-1245	215	28	exclusive	exclusive	ADJ
ap-1245	215	29	property	property	NOUN
ap-1245	215	30	)	)	PUNCT
ap-1245	215	31	.	.	PUNCT
ap-1245	216	1	the	the	DET
ap-1245	216	2	first	first	ADJ
ap-1245	216	3	approach	approach	NOUN
ap-1245	216	4	to	to	ADP
ap-1245	216	5	pi	pi	NOUN
ap-1245	216	6	-	-	PUNCT
ap-1245	216	7	hxa	hxa	NOUN
ap-1245	216	8	design	design	NOUN
ap-1245	216	9	(	(	PUNCT
ap-1245	216	10	e	e	NOUN
ap-1245	216	11	-	-	NOUN
ap-1245	216	12	phxc	phxc	ADJ
ap-1245	216	13	design	design	NOUN
ap-1245	216	14	criteria	criterion	NOUN
ap-1245	216	15	[	[	X
ap-1245	216	16	11	11	NUM
ap-1245	216	17	]	]	PUNCT
ap-1245	216	18	)	)	PUNCT
ap-1245	216	19	has	have	AUX
ap-1245	216	20	until	until	ADP
ap-1245	216	21	now	now	ADV
ap-1245	216	22	led	lead	VERB
ap-1245	216	23	only	only	ADV
ap-1245	216	24	to	to	PART
ap-1245	216	25	orthogonal	orthogonal	ADJ
ap-1245	216	26	or	or	CCONJ
ap-1245	216	27	non	non	ADJ
ap-1245	216	28	-	-	ADJ
ap-1245	216	29	zero	zero	NUM
ap-1245	216	30	mean	mean	NOUN
ap-1245	216	31	hxa	hxa	ADJ
ap-1245	216	32	with	with	ADP
ap-1245	216	33	unsatisfactory	unsatisfactory	ADJ
ap-1245	216	34	performance	performance	NOUN
ap-1245	216	35	(	(	PUNCT
ap-1245	216	36	capacity	capacity	NOUN
ap-1245	216	37	limited	limit	VERB
ap-1245	216	38	by	by	ADP
ap-1245	216	39	classical	classical	ADJ
ap-1245	216	40	mac	mac	PROPN
ap-1245	216	41	)	)	PUNCT
ap-1245	216	42	.	.	PUNCT
ap-1245	217	1	in	in	ADP
ap-1245	217	2	this	this	DET
ap-1245	217	3	paper	paper	NOUN
ap-1245	217	4	we	we	PRON
ap-1245	217	5	have	have	AUX
ap-1245	217	6	presented	present	VERB
ap-1245	217	7	an	an	DET
ap-1245	217	8	example	example	NOUN
ap-1245	217	9	of	of	ADP
ap-1245	217	10	a	a	DET
ap-1245	217	11	geometrical	geometrical	ADJ
ap-1245	217	12	approach	approach	NOUN
ap-1245	217	13	to	to	ADP
ap-1245	217	14	pi	pi	NOUN
ap-1245	217	15	-	-	PUNCT
ap-1245	217	16	hxa	hxa	NOUN
ap-1245	217	17	design	design	NOUN
ap-1245	217	18	.	.	PUNCT
ap-1245	218	1	though	though	SCONJ
ap-1245	218	2	the	the	DET
ap-1245	218	3	design	design	NOUN
ap-1245	218	4	was	be	AUX
ap-1245	218	5	based	base	VERB
ap-1245	218	6	on	on	ADP
ap-1245	218	7	many	many	ADJ
ap-1245	218	8	simplifying	simplifying	NOUN
ap-1245	218	9	assumptions	assumption	NOUN
ap-1245	218	10	,	,	PUNCT
ap-1245	218	11	the	the	DET
ap-1245	218	12	numerical	numerical	ADJ
ap-1245	218	13	results	result	NOUN
ap-1245	218	14	show	show	VERB
ap-1245	218	15	relatively	relatively	ADV
ap-1245	218	16	high	high	ADJ
ap-1245	218	17	resistance	resistance	NOUN
ap-1245	218	18	of	of	ADP
ap-1245	218	19	the	the	DET
ap-1245	218	20	capacity	capacity	NOUN
ap-1245	218	21	(	(	PUNCT
ap-1245	218	22	fig	fig	NOUN
ap-1245	218	23	.	.	PUNCT
ap-1245	218	24	7	7	NUM
ap-1245	218	25	)	)	PUNCT
ap-1245	218	26	and	and	CCONJ
ap-1245	218	27	the	the	DET
ap-1245	218	28	minimum	minimum	ADJ
ap-1245	218	29	distance	distance	NOUN
ap-1245	218	30	(	(	PUNCT
ap-1245	218	31	fig	fig	NOUN
ap-1245	218	32	.	.	PUNCT
ap-1245	219	1	8)	8)	NUM
ap-1245	219	2	to	to	ADP
ap-1245	219	3	the	the	DET
ap-1245	219	4	channel	channel	NOUN
ap-1245	219	5	parametrization	parametrization	NOUN
ap-1245	219	6	.	.	PUNCT
ap-1245	220	1	in	in	ADP
ap-1245	220	2	addition	addition	NOUN
ap-1245	220	3	,	,	PUNCT
ap-1245	220	4	our	our	PRON
ap-1245	220	5	setup	setup	NOUN
ap-1245	220	6	requires	require	VERB
ap-1245	220	7	no	no	DET
ap-1245	220	8	adaptation	adaptation	NOUN
ap-1245	220	9	of	of	ADP
ap-1245	220	10	the	the	DET
ap-1245	220	11	hierarchical	hierarchical	ADJ
ap-1245	220	12	exclusive	exclusive	ADJ
ap-1245	220	13	mapping	mapping	NOUN
ap-1245	220	14	(	(	PUNCT
ap-1245	220	15	unlike	unlike	ADP
ap-1245	220	16	[	[	X
ap-1245	220	17	6	6	NUM
ap-1245	220	18	,	,	PUNCT
ap-1245	220	19	8	8	NUM
ap-1245	220	20	]	]	NUM
ap-1245	220	21	)	)	PUNCT
ap-1245	220	22	.	.	PUNCT
ap-1245	221	1	hence	hence	ADV
ap-1245	221	2	the	the	DET
ap-1245	221	3	processing	processing	NOUN
ap-1245	221	4	at	at	ADP
ap-1245	221	5	the	the	DET
ap-1245	221	6	relay	relay	NOUN
ap-1245	221	7	can	can	AUX
ap-1245	221	8	always	always	ADV
ap-1245	221	9	be	be	AUX
ap-1245	221	10	kept	keep	VERB
ap-1245	221	11	transparent	transparent	ADJ
ap-1245	221	12	to	to	ADP
ap-1245	221	13	both	both	DET
ap-1245	221	14	sources	source	NOUN
ap-1245	221	15	.	.	PUNCT
ap-1245	222	1	the	the	DET
ap-1245	222	2	numerical	numerical	ADJ
ap-1245	222	3	results	result	NOUN
ap-1245	222	4	presented	present	VERB
ap-1245	222	5	in	in	ADP
ap-1245	222	6	this	this	DET
ap-1245	222	7	paper	paper	NOUN
ap-1245	222	8	show	show	VERB
ap-1245	222	9	the	the	DET
ap-1245	222	10	viability	viability	NOUN
ap-1245	222	11	of	of	ADP
ap-1245	222	12	the	the	DET
ap-1245	222	13	layered	layered	ADJ
ap-1245	222	14	approach	approach	NOUN
ap-1245	222	15	to	to	ADP
ap-1245	222	16	hxc	hxc	PROPN
ap-1245	222	17	design	design	NOUN
ap-1245	222	18	in	in	ADP
ap-1245	222	19	2	2	NUM
ap-1245	222	20	-	-	PUNCT
ap-1245	222	21	wrc	wrc	NOUN
ap-1245	222	22	with	with	ADP
ap-1245	222	23	the	the	DET
ap-1245	222	24	hdf	hdf	PROPN
ap-1245	222	25	strategy	strategy	NOUN
ap-1245	222	26	,	,	PUNCT
ap-1245	222	27	even	even	ADV
ap-1245	222	28	for	for	ADP
ap-1245	222	29	the	the	DET
ap-1245	222	30	case	case	NOUN
ap-1245	222	31	of	of	ADP
ap-1245	222	32	parametric	parametric	ADJ
ap-1245	222	33	channels	channel	NOUN
ap-1245	222	34	.	.	PUNCT
ap-1245	223	1	deriving	derive	VERB
ap-1245	223	2	systematic	systematic	ADJ
ap-1245	223	3	criteria	criterion	NOUN
ap-1245	223	4	for	for	ADP
ap-1245	223	5	pi	pi	NOUN
ap-1245	223	6	-	-	PUNCT
ap-1245	223	7	hxa	hxa	NOUN
ap-1245	223	8	design	design	NOUN
ap-1245	223	9	is	be	AUX
ap-1245	223	10	a	a	DET
ap-1245	223	11	topic	topic	NOUN
ap-1245	223	12	for	for	ADP
ap-1245	223	13	future	future	ADJ
ap-1245	223	14	work	work	NOUN
ap-1245	223	15	.	.	PUNCT
ap-1245	224	1	acknowledgement	acknowledgement	NOUN
ap-1245	224	2	this	this	DET
ap-1245	224	3	work	work	NOUN
ap-1245	224	4	was	be	AUX
ap-1245	224	5	supported	support	VERB
ap-1245	224	6	by	by	ADP
ap-1245	224	7	the	the	DET
ap-1245	224	8	fp7	fp7	PROPN
ap-1245	224	9	-	-	PROPN
ap-1245	224	10	ict	ict	PROPN
ap-1245	224	11	saphyre	saphyre	NOUN
ap-1245	224	12	project	project	NOUN
ap-1245	224	13	,	,	PUNCT
ap-1245	224	14	by	by	ADP
ap-1245	224	15	grant	grant	PROPN
ap-1245	224	16	agency	agency	NOUN
ap-1245	224	17	of	of	ADP
ap-1245	224	18	the	the	DET
ap-1245	224	19	czech	czech	PROPN
ap-1245	224	20	republic	republic	NOUN
ap-1245	224	21	,	,	PUNCT
ap-1245	224	22	project	project	NOUN
ap-1245	224	23	102/09/1624	102/09/1624	NUM
ap-1245	224	24	,	,	PUNCT
ap-1245	224	25	and	and	CCONJ
ap-1245	224	26	by	by	ADP
ap-1245	224	27	ministry	ministry	PROPN
ap-1245	224	28	of	of	ADP
ap-1245	224	29	education	education	PROPN
ap-1245	224	30	,	,	PUNCT
ap-1245	224	31	youth	youth	NOUN
ap-1245	224	32	and	and	CCONJ
ap-1245	224	33	sport	sport	NOUN
ap-1245	224	34	of	of	ADP
ap-1245	224	35	the	the	DET
ap-1245	224	36	czech	czech	PROPN
ap-1245	224	37	republic	republic	NOUN
ap-1245	224	38	,	,	PUNCT
ap-1245	224	39	programme	programme	NOUN
ap-1245	224	40	msm6840770014	msm6840770014	NOUN
ap-1245	224	41	,	,	PUNCT
ap-1245	224	42	grant	grant	PROPN
ap-1245	224	43	oc188	oc188	PROPN
ap-1245	224	44	and	and	CCONJ
ap-1245	224	45	by	by	ADP
ap-1245	224	46	the	the	DET
ap-1245	224	47	grant	grant	PROPN
ap-1245	224	48	agency	agency	NOUN
ap-1245	224	49	of	of	ADP
ap-1245	224	50	the	the	DET
ap-1245	224	51	czech	czech	PROPN
ap-1245	224	52	technical	technical	PROPN
ap-1245	224	53	university	university	PROPN
ap-1245	224	54	in	in	ADP
ap-1245	224	55	prague	prague	PROPN
ap-1245	224	56	,	,	PUNCT
ap-1245	224	57	grant	grant	VERB
ap-1245	224	58	no	no	INTJ
ap-1245	224	59	.	.	PUNCT
ap-1245	225	1	sgs10/287	sgs10/287	PROPN
ap-1245	225	2	/	/	SYM
ap-1245	225	3	ohk3/3t/13	ohk3/3t/13	PROPN
ap-1245	225	4	.	.	PUNCT
ap-1245	226	1	references	reference	NOUN
ap-1245	226	2	[	[	X
ap-1245	226	3	1	1	NUM
ap-1245	226	4	]	]	X
ap-1245	226	5	yeung	yeung	PROPN
ap-1245	226	6	,	,	PUNCT
ap-1245	226	7	r.	r.	PROPN
ap-1245	226	8	w.	w.	PROPN
ap-1245	226	9	,	,	PUNCT
ap-1245	226	10	li	li	PROPN
ap-1245	226	11	,	,	PUNCT
ap-1245	226	12	s.-y	s.-y	NOUN
ap-1245	226	13	.	.	PUNCT
ap-1245	227	1	r.	r.	PROPN
ap-1245	227	2	,	,	PUNCT
ap-1245	227	3	cai	cai	PROPN
ap-1245	227	4	,	,	PUNCT
ap-1245	227	5	n.	n.	PROPN
ap-1245	227	6	,	,	PUNCT
ap-1245	227	7	zhang	zhang	PROPN
ap-1245	227	8	,	,	PUNCT
ap-1245	227	9	z.	z.	PROPN
ap-1245	227	10	:	:	PUNCT
ap-1245	227	11	network	network	NOUN
ap-1245	227	12	coding	code	VERB
ap-1245	227	13	theory	theory	NOUN
ap-1245	227	14	.	.	PUNCT
ap-1245	228	1	now	now	ADV
ap-1245	228	2	publishers	publisher	NOUN
ap-1245	228	3	,	,	PUNCT
ap-1245	228	4	2006	2006	NUM
ap-1245	228	5	.	.	PUNCT
ap-1245	229	1	[	[	X
ap-1245	229	2	2	2	NUM
ap-1245	229	3	]	]	X
ap-1245	229	4	sykora	sykora	PROPN
ap-1245	229	5	,	,	PUNCT
ap-1245	229	6	j.	j.	PROPN
ap-1245	229	7	,	,	PUNCT
ap-1245	229	8	burr	burr	PROPN
ap-1245	229	9	,	,	PUNCT
ap-1245	229	10	a.	a.	NOUN
ap-1245	229	11	:	:	PUNCT
ap-1245	229	12	hierarchical	hierarchical	ADJ
ap-1245	229	13	exclusive	exclusive	ADJ
ap-1245	229	14	codebook	codebook	NOUN
ap-1245	229	15	design	design	NOUN
ap-1245	229	16	using	use	VERB
ap-1245	229	17	exclusive	exclusive	ADJ
ap-1245	229	18	alphabet	alphabet	NOUN
ap-1245	229	19	and	and	CCONJ
ap-1245	229	20	its	its	PRON
ap-1245	229	21	capacity	capacity	NOUN
ap-1245	229	22	regions	region	NOUN
ap-1245	229	23	for	for	ADP
ap-1245	229	24	hdf	hdf	PROPN
ap-1245	229	25	strategy	strategy	NOUN
ap-1245	229	26	in	in	ADP
ap-1245	229	27	parametric	parametric	ADJ
ap-1245	229	28	wireless	wireless	ADJ
ap-1245	229	29	2	2	NUM
ap-1245	229	30	-	-	PUNCT
ap-1245	229	31	wrc	wrc	NOUN
ap-1245	229	32	,	,	PUNCT
ap-1245	229	33	in	in	ADP
ap-1245	229	34	cost	cost	NOUN
ap-1245	229	35	2100	2100	NUM
ap-1245	229	36	mcm	mcm	PROPN
ap-1245	229	37	,	,	PUNCT
ap-1245	229	38	(	(	PUNCT
ap-1245	229	39	vienna	vienna	PROPN
ap-1245	229	40	,	,	PUNCT
ap-1245	229	41	austria	austria	PROPN
ap-1245	229	42	)	)	PUNCT
ap-1245	229	43	,	,	PUNCT
ap-1245	229	44	pp	pp	PROPN
ap-1245	229	45	.	.	PUNCT
ap-1245	230	1	1–9	1–9	NUM
ap-1245	230	2	,	,	PUNCT
ap-1245	230	3	sept	sept	PROPN
ap-1245	230	4	.	.	PROPN
ap-1245	230	5	2009	2009	NUM
ap-1245	230	6	.	.	PUNCT
ap-1245	231	1	td-09	td-09	NUM
ap-1245	231	2	-	-	PUNCT
ap-1245	231	3	933	933	NUM
ap-1245	231	4	.	.	PUNCT
ap-1245	232	1	[	[	X
ap-1245	232	2	3	3	NUM
ap-1245	232	3	]	]	X
ap-1245	232	4	sykora	sykora	PROPN
ap-1245	232	5	,	,	PUNCT
ap-1245	232	6	j.	j.	PROPN
ap-1245	232	7	,	,	PUNCT
ap-1245	232	8	burr	burr	PROPN
ap-1245	232	9	,	,	PUNCT
ap-1245	232	10	a.	a.	NOUN
ap-1245	232	11	:	:	PUNCT
ap-1245	232	12	hierarchical	hierarchical	ADJ
ap-1245	232	13	alphabet	alphabet	NOUN
ap-1245	232	14	and	and	CCONJ
ap-1245	232	15	parametric	parametric	ADJ
ap-1245	232	16	channel	channel	NOUN
ap-1245	232	17	constrained	constrain	VERB
ap-1245	232	18	capacity	capacity	NOUN
ap-1245	232	19	regions	region	NOUN
ap-1245	232	20	for	for	ADP
ap-1245	232	21	hdf	hdf	PROPN
ap-1245	232	22	strategy	strategy	NOUN
ap-1245	232	23	in	in	ADP
ap-1245	232	24	parametric	parametric	ADJ
ap-1245	232	25	wireless	wireless	ADJ
ap-1245	232	26	2	2	NUM
ap-1245	232	27	-	-	PUNCT
ap-1245	232	28	wrc	wrc	NOUN
ap-1245	232	29	,	,	PUNCT
ap-1245	232	30	in	in	ADP
ap-1245	232	31	proc	proc	NOUN
ap-1245	232	32	.	.	PUNCT
ap-1245	233	1	ieee	ieee	PROPN
ap-1245	233	2	wireless	wireless	PROPN
ap-1245	233	3	commun	commun	PROPN
ap-1245	233	4	.	.	PUNCT
ap-1245	234	1	network	network	NOUN
ap-1245	234	2	.	.	PUNCT
ap-1245	234	3	conf	conf	PROPN
ap-1245	234	4	.	.	PUNCT
ap-1245	235	1	(	(	PUNCT
ap-1245	235	2	wcnc	wcnc	NOUN
ap-1245	235	3	)	)	PUNCT
ap-1245	235	4	,	,	PUNCT
ap-1245	235	5	(	(	PUNCT
ap-1245	235	6	sydney	sydney	PROPN
ap-1245	235	7	,	,	PUNCT
ap-1245	235	8	australia	australia	PROPN
ap-1245	235	9	)	)	PUNCT
ap-1245	235	10	,	,	PUNCT
ap-1245	235	11	pp	pp	ADV
ap-1245	235	12	.	.	PUNCT
ap-1245	236	1	1–6	1–6	NUM
ap-1245	236	2	,	,	PUNCT
ap-1245	236	3	apr	apr	PROPN
ap-1245	236	4	.	.	PROPN
ap-1245	236	5	2010	2010	NUM
ap-1245	236	6	.	.	PUNCT
ap-1245	237	1	[	[	X
ap-1245	237	2	4	4	NUM
ap-1245	237	3	]	]	X
ap-1245	237	4	baik	baik	NOUN
ap-1245	237	5	,	,	PUNCT
ap-1245	237	6	i.-j	i.-j	PROPN
ap-1245	237	7	.	.	PROPN
ap-1245	237	8	,	,	PUNCT
ap-1245	237	9	chung	chung	PROPN
ap-1245	237	10	,	,	PUNCT
ap-1245	237	11	s.-y	s.-y	NOUN
ap-1245	237	12	.	.	PUNCT
ap-1245	237	13	:	:	PUNCT
ap-1245	238	1	network	network	NOUN
ap-1245	238	2	coding	code	VERB
ap-1245	238	3	for	for	ADP
ap-1245	238	4	twoway	twoway	NOUN
ap-1245	238	5	relay	relay	NOUN
ap-1245	238	6	channels	channel	NOUN
ap-1245	238	7	using	use	VERB
ap-1245	238	8	lattices	lattice	NOUN
ap-1245	238	9	,	,	PUNCT
ap-1245	238	10	in	in	ADP
ap-1245	238	11	proc	proc	NOUN
ap-1245	238	12	.	.	PUNCT
ap-1245	239	1	ieee	ieee	PROPN
ap-1245	239	2	internat	internat	PROPN
ap-1245	239	3	.	.	PUNCT
ap-1245	240	1	conf	conf	PROPN
ap-1245	240	2	.	.	PUNCT
ap-1245	241	1	on	on	ADP
ap-1245	241	2	commun	commun	PROPN
ap-1245	241	3	.	.	PUNCT
ap-1245	242	1	(	(	PUNCT
ap-1245	242	2	icc	icc	PROPN
ap-1245	242	3	)	)	PUNCT
ap-1245	242	4	,	,	PUNCT
ap-1245	242	5	2008	2008	NUM
ap-1245	242	6	.	.	PUNCT
ap-1245	243	1	[	[	X
ap-1245	243	2	5	5	NUM
ap-1245	243	3	]	]	PUNCT
ap-1245	243	4	popovski	popovski	NOUN
ap-1245	243	5	,	,	PUNCT
ap-1245	243	6	p.	p.	NOUN
ap-1245	243	7	,	,	PUNCT
ap-1245	243	8	koike	koike	NOUN
ap-1245	243	9	-	-	PUNCT
ap-1245	243	10	akino	akino	NOUN
ap-1245	243	11	,	,	PUNCT
ap-1245	243	12	t.	t.	PROPN
ap-1245	243	13	:	:	PUNCT
ap-1245	243	14	coded	code	VERB
ap-1245	243	15	bidirectional	bidirectional	ADJ
ap-1245	243	16	relaying	relaying	NOUN
ap-1245	243	17	in	in	ADP
ap-1245	243	18	wireless	wireless	ADJ
ap-1245	243	19	networks	network	NOUN
ap-1245	243	20	,	,	PUNCT
ap-1245	243	21	in	in	ADP
ap-1245	243	22	advances	advance	NOUN
ap-1245	243	23	in	in	ADP
ap-1245	243	24	wireless	wireless	ADJ
ap-1245	243	25	communications	communication	NOUN
ap-1245	243	26	(	(	PUNCT
ap-1245	243	27	v.	v.	CCONJ
ap-1245	243	28	tarokh	tarokh	ADJ
ap-1245	243	29	,	,	PUNCT
ap-1245	243	30	ed	ed	NOUN
ap-1245	243	31	.	.	PUNCT
ap-1245	243	32	)	)	PUNCT
ap-1245	243	33	,	,	PUNCT
ap-1245	243	34	springer	springer	NOUN
ap-1245	243	35	,	,	PUNCT
ap-1245	243	36	2009	2009	NUM
ap-1245	243	37	.	.	PUNCT
ap-1245	244	1	[	[	X
ap-1245	244	2	6	6	NUM
ap-1245	244	3	]	]	X
ap-1245	244	4	koike	koike	NOUN
ap-1245	244	5	-	-	PUNCT
ap-1245	244	6	akino	akino	NOUN
ap-1245	244	7	,	,	PUNCT
ap-1245	244	8	t.	t.	NOUN
ap-1245	244	9	,	,	PUNCT
ap-1245	244	10	popovski	popovski	NOUN
ap-1245	244	11	,	,	PUNCT
ap-1245	244	12	p.	p.	NOUN
ap-1245	244	13	,	,	PUNCT
ap-1245	244	14	tarokh	tarokh	VERB
ap-1245	244	15	,	,	PUNCT
ap-1245	244	16	v.	v.	ADP
ap-1245	244	17	:	:	PUNCT
ap-1245	244	18	denoising	denoise	VERB
ap-1245	244	19	maps	map	NOUN
ap-1245	244	20	and	and	CCONJ
ap-1245	244	21	constellations	constellation	NOUN
ap-1245	244	22	for	for	ADP
ap-1245	244	23	wireless	wireless	ADJ
ap-1245	244	24	network	network	NOUN
ap-1245	244	25	coding	code	VERB
ap-1245	244	26	in	in	ADP
ap-1245	244	27	two	two	NUM
ap-1245	244	28	-	-	PUNCT
ap-1245	244	29	way	way	NOUN
ap-1245	244	30	relaying	relaying	NOUN
ap-1245	244	31	systems	system	NOUN
ap-1245	244	32	,	,	PUNCT
ap-1245	244	33	in	in	ADP
ap-1245	244	34	proc	proc	NOUN
ap-1245	244	35	.	.	PUNCT
ap-1245	245	1	ieee	ieee	PROPN
ap-1245	245	2	global	global	PROPN
ap-1245	245	3	telecommun	telecommun	PROPN
ap-1245	245	4	.	.	PUNCT
ap-1245	245	5	conf	conf	PROPN
ap-1245	245	6	.	.	PUNCT
ap-1245	246	1	(	(	PUNCT
ap-1245	246	2	globecom	globecom	PROPN
ap-1245	246	3	)	)	PUNCT
ap-1245	246	4	,	,	PUNCT
ap-1245	246	5	2008	2008	NUM
ap-1245	246	6	.	.	PUNCT
ap-1245	247	1	[	[	X
ap-1245	247	2	7	7	NUM
ap-1245	247	3	]	]	X
ap-1245	247	4	koike	koike	NOUN
ap-1245	247	5	-	-	PUNCT
ap-1245	247	6	akino	akino	NOUN
ap-1245	247	7	,	,	PUNCT
ap-1245	247	8	t.	t.	NOUN
ap-1245	247	9	,	,	PUNCT
ap-1245	247	10	popovski	popovski	NOUN
ap-1245	247	11	,	,	PUNCT
ap-1245	247	12	p.	p.	NOUN
ap-1245	247	13	,	,	PUNCT
ap-1245	247	14	tarokh	tarokh	VERB
ap-1245	247	15	,	,	PUNCT
ap-1245	247	16	v.	v.	ADP
ap-1245	247	17	:	:	PUNCT
ap-1245	247	18	denoising	denoise	VERB
ap-1245	247	19	strategy	strategy	NOUN
ap-1245	247	20	for	for	ADP
ap-1245	247	21	convolutionally	convolutionally	ADV
ap-1245	247	22	-	-	PUNCT
ap-1245	247	23	coded	code	VERB
ap-1245	247	24	bidirectional	bidirectional	ADJ
ap-1245	247	25	relaying	relaying	NOUN
ap-1245	247	26	,	,	PUNCT
ap-1245	247	27	in	in	ADP
ap-1245	247	28	proc	proc	NOUN
ap-1245	247	29	.	.	PUNCT
ap-1245	248	1	ieee	ieee	PROPN
ap-1245	248	2	internat	internat	PROPN
ap-1245	248	3	.	.	PUNCT
ap-1245	249	1	conf	conf	PROPN
ap-1245	249	2	.	.	PUNCT
ap-1245	250	1	on	on	ADP
ap-1245	250	2	commun	commun	PROPN
ap-1245	250	3	.	.	PUNCT
ap-1245	251	1	(	(	PUNCT
ap-1245	251	2	icc	icc	PROPN
ap-1245	251	3	)	)	PUNCT
ap-1245	251	4	,	,	PUNCT
ap-1245	251	5	2009	2009	NUM
ap-1245	251	6	.	.	PUNCT
ap-1245	252	1	[	[	X
ap-1245	252	2	8	8	NUM
ap-1245	252	3	]	]	X
ap-1245	252	4	koike	koike	NOUN
ap-1245	252	5	-	-	PUNCT
ap-1245	252	6	akino	akino	NOUN
ap-1245	252	7	,	,	PUNCT
ap-1245	252	8	t.	t.	NOUN
ap-1245	252	9	,	,	PUNCT
ap-1245	252	10	popovski	popovski	NOUN
ap-1245	252	11	,	,	PUNCT
ap-1245	252	12	p.	p.	NOUN
ap-1245	252	13	,	,	PUNCT
ap-1245	252	14	tarokh	tarokh	VERB
ap-1245	252	15	,	,	PUNCT
ap-1245	252	16	v.	v.	ADV
ap-1245	252	17	:	:	PUNCT
ap-1245	252	18	optimized	optimize	VERB
ap-1245	252	19	constellations	constellation	NOUN
ap-1245	252	20	for	for	ADP
ap-1245	252	21	two	two	NUM
ap-1245	252	22	-	-	PUNCT
ap-1245	252	23	way	way	NOUN
ap-1245	252	24	wireless	wireless	ADJ
ap-1245	252	25	relaying	relaying	NOUN
ap-1245	252	26	with	with	ADP
ap-1245	252	27	physical	physical	ADJ
ap-1245	252	28	network	network	NOUN
ap-1245	252	29	coding	coding	NOUN
ap-1245	252	30	,	,	PUNCT
ap-1245	252	31	ieee	ieee	PROPN
ap-1245	252	32	j.	j.	PROPN
ap-1245	252	33	sel	sel	PROPN
ap-1245	252	34	.	.	PUNCT
ap-1245	253	1	areas	area	NOUN
ap-1245	253	2	commun	commun	PROPN
ap-1245	253	3	.	.	PROPN
ap-1245	253	4	,	,	PUNCT
ap-1245	253	5	vol	vol	NOUN
ap-1245	253	6	.	.	PROPN
ap-1245	253	7	27	27	NUM
ap-1245	253	8	,	,	PUNCT
ap-1245	253	9	p.	p.	NOUN
ap-1245	253	10	773–787	773–787	NUM
ap-1245	253	11	,	,	PUNCT
ap-1245	253	12	june	june	PROPN
ap-1245	253	13	2009	2009	NUM
ap-1245	253	14	.	.	PUNCT
ap-1245	254	1	[	[	X
ap-1245	254	2	9	9	NUM
ap-1245	254	3	]	]	X
ap-1245	254	4	nam	nam	PROPN
ap-1245	254	5	,	,	PUNCT
ap-1245	254	6	w.	w.	PROPN
ap-1245	254	7	,	,	PUNCT
ap-1245	254	8	chung	chung	PROPN
ap-1245	254	9	,	,	PUNCT
ap-1245	254	10	s.-y	s.-y	NOUN
ap-1245	254	11	.	.	PUNCT
ap-1245	254	12	,	,	PUNCT
ap-1245	254	13	lee	lee	PROPN
ap-1245	254	14	,	,	PUNCT
ap-1245	254	15	y.	y.	PROPN
ap-1245	254	16	h.	h.	PROPN
ap-1245	254	17	:	:	PUNCT
ap-1245	254	18	capacity	capacity	NOUN
ap-1245	254	19	bounds	bound	VERB
ap-1245	254	20	for	for	ADP
ap-1245	254	21	two	two	NUM
ap-1245	254	22	-	-	PUNCT
ap-1245	254	23	way	way	NOUN
ap-1245	254	24	relay	relay	NOUN
ap-1245	254	25	channels	channel	NOUN
ap-1245	254	26	,	,	PUNCT
ap-1245	254	27	in	in	ADP
ap-1245	254	28	proc	proc	NOUN
ap-1245	254	29	.	.	PUNCT
ap-1245	255	1	int	int	NOUN
ap-1245	255	2	.	.	PUNCT
ap-1245	256	1	zurich	zurich	PROPN
ap-1245	256	2	seminar	seminar	NOUN
ap-1245	256	3	on	on	ADP
ap-1245	256	4	communications	communication	NOUN
ap-1245	256	5	,	,	PUNCT
ap-1245	256	6	2008	2008	NUM
ap-1245	256	7	.	.	PUNCT
ap-1245	257	1	[	[	X
ap-1245	257	2	10	10	NUM
ap-1245	257	3	]	]	X
ap-1245	257	4	erez	erez	PROPN
ap-1245	257	5	,	,	PUNCT
ap-1245	257	6	u.	u.	PROPN
ap-1245	257	7	,	,	PUNCT
ap-1245	257	8	zamir	zamir	PROPN
ap-1245	257	9	,	,	PUNCT
ap-1245	257	10	r.	r.	PROPN
ap-1245	257	11	:	:	PUNCT
ap-1245	257	12	achieving	achieve	VERB
ap-1245	257	13	1/2log(1+snr	1/2log(1+snr	NUM
ap-1245	257	14	)	)	PUNCT
ap-1245	257	15	on	on	ADP
ap-1245	257	16	the	the	DET
ap-1245	257	17	awgn	awgn	NOUN
ap-1245	257	18	channel	channel	NOUN
ap-1245	257	19	with	with	ADP
ap-1245	257	20	lattice	lattice	NOUN
ap-1245	257	21	encoding	encoding	NOUN
ap-1245	257	22	and	and	CCONJ
ap-1245	257	23	decoding	decoding	NOUN
ap-1245	257	24	,	,	PUNCT
ap-1245	257	25	ieee	ieee	NOUN
ap-1245	257	26	trans	trans	PROPN
ap-1245	257	27	.	.	PROPN
ap-1245	257	28	inf	inf	PROPN
ap-1245	257	29	.	.	PUNCT
ap-1245	257	30	theory	theory	NOUN
ap-1245	257	31	,	,	PUNCT
ap-1245	257	32	vol	vol	NOUN
ap-1245	257	33	.	.	PROPN
ap-1245	257	34	50	50	NUM
ap-1245	257	35	,	,	PUNCT
ap-1245	257	36	p.	p.	NOUN
ap-1245	257	37	2	2	NUM
ap-1245	257	38	293–2	293–2	NUM
ap-1245	257	39	314	314	NUM
ap-1245	257	40	,	,	PUNCT
ap-1245	257	41	oct	oct	PROPN
ap-1245	257	42	.	.	PROPN
ap-1245	257	43	2004	2004	NUM
ap-1245	257	44	.	.	PUNCT
ap-1245	258	1	[	[	X
ap-1245	258	2	11	11	NUM
ap-1245	258	3	]	]	PUNCT
ap-1245	258	4	uricar	uricar	NOUN
ap-1245	258	5	,	,	PUNCT
ap-1245	258	6	t.	t.	PROPN
ap-1245	258	7	,	,	PUNCT
ap-1245	258	8	sykora	sykora	PROPN
ap-1245	258	9	,	,	PUNCT
ap-1245	258	10	j.	j.	PROPN
ap-1245	258	11	:	:	PUNCT
ap-1245	258	12	extended	extended	ADJ
ap-1245	258	13	design	design	NOUN
ap-1245	258	14	criteria	criterion	NOUN
ap-1245	258	15	for	for	ADP
ap-1245	258	16	hierarchical	hierarchical	ADJ
ap-1245	258	17	exclusive	exclusive	ADJ
ap-1245	258	18	code	code	NOUN
ap-1245	258	19	with	with	ADP
ap-1245	258	20	pairwise	pairwise	NOUN
ap-1245	258	21	parameter	parameter	NOUN
ap-1245	258	22	-	-	PUNCT
ap-1245	258	23	invariant	invariant	ADJ
ap-1245	258	24	boundaries	boundary	NOUN
ap-1245	258	25	for	for	ADP
ap-1245	258	26	wireless	wireless	ADJ
ap-1245	258	27	2	2	NUM
ap-1245	258	28	-	-	PUNCT
ap-1245	258	29	way	way	NOUN
ap-1245	258	30	relay	relay	NOUN
ap-1245	258	31	channel	channel	NOUN
ap-1245	258	32	,	,	PUNCT
ap-1245	258	33	in	in	ADP
ap-1245	258	34	cost	cost	NOUN
ap-1245	258	35	2100	2100	NUM
ap-1245	258	36	mcm	mcm	PROPN
ap-1245	258	37	,	,	PUNCT
ap-1245	258	38	(	(	PUNCT
ap-1245	258	39	vienna	vienna	PROPN
ap-1245	258	40	,	,	PUNCT
ap-1245	258	41	austria	austria	PROPN
ap-1245	258	42	)	)	PUNCT
ap-1245	258	43	,	,	PUNCT
ap-1245	258	44	p.	p.	NOUN
ap-1245	258	45	1–8	1–8	NUM
ap-1245	258	46	,	,	PUNCT
ap-1245	258	47	sept	sept	PROPN
ap-1245	258	48	.	.	PROPN
ap-1245	258	49	2009	2009	NUM
ap-1245	258	50	.	.	PUNCT
ap-1245	259	1	td-09	td-09	NUM
ap-1245	259	2	-	-	PUNCT
ap-1245	259	3	952	952	NUM
ap-1245	259	4	.	.	PUNCT
ap-1245	260	1	[	[	X
ap-1245	260	2	12	12	NUM
ap-1245	260	3	]	]	PUNCT
ap-1245	260	4	uricar	uricar	NOUN
ap-1245	260	5	,	,	PUNCT
ap-1245	260	6	t.	t.	PROPN
ap-1245	260	7	,	,	PUNCT
ap-1245	260	8	sykora	sykora	PROPN
ap-1245	260	9	,	,	PUNCT
ap-1245	260	10	j.	j.	PROPN
ap-1245	260	11	:	:	PUNCT
ap-1245	260	12	design	design	NOUN
ap-1245	260	13	criteria	criterion	NOUN
ap-1245	260	14	for	for	ADP
ap-1245	260	15	hierarchical	hierarchical	ADJ
ap-1245	260	16	exclusive	exclusive	ADJ
ap-1245	260	17	code	code	NOUN
ap-1245	260	18	with	with	ADP
ap-1245	260	19	parameter	parameter	NOUN
ap-1245	260	20	invariant	invariant	ADJ
ap-1245	260	21	decision	decision	NOUN
ap-1245	260	22	regions	region	NOUN
ap-1245	260	23	for	for	ADP
ap-1245	260	24	wireless	wireless	ADJ
ap-1245	260	25	2	2	NUM
ap-1245	260	26	-	-	PUNCT
ap-1245	260	27	way	way	NOUN
ap-1245	260	28	relay	relay	NOUN
ap-1245	260	29	channel	channel	NOUN
ap-1245	260	30	,	,	PUNCT
ap-1245	260	31	submitted	submit	VERB
ap-1245	260	32	for	for	ADP
ap-1245	260	33	publication	publication	NOUN
ap-1245	260	34	,	,	PUNCT
ap-1245	260	35	2010	2010	NUM
ap-1245	260	36	.	.	PUNCT
ap-1245	261	1	[	[	X
ap-1245	261	2	13	13	NUM
ap-1245	261	3	]	]	X
ap-1245	261	4	sykora	sykora	PROPN
ap-1245	261	5	,	,	PUNCT
ap-1245	261	6	j.	j.	PROPN
ap-1245	261	7	:	:	PUNCT
ap-1245	261	8	design	design	NOUN
ap-1245	261	9	criteria	criterion	NOUN
ap-1245	261	10	for	for	ADP
ap-1245	261	11	parametric	parametric	ADJ
ap-1245	261	12	hierarchical	hierarchical	ADJ
ap-1245	261	13	exclusive	exclusive	ADJ
ap-1245	261	14	constellation	constellation	NOUN
ap-1245	261	15	space	space	NOUN
ap-1245	261	16	code	code	NOUN
ap-1245	261	17	for	for	ADP
ap-1245	261	18	wireless	wireless	ADJ
ap-1245	261	19	2	2	NUM
ap-1245	261	20	-	-	PUNCT
ap-1245	261	21	way	way	NOUN
ap-1245	261	22	relay	relay	NOUN
ap-1245	261	23	channel	channel	NOUN
ap-1245	261	24	,	,	PUNCT
ap-1245	261	25	in	in	ADP
ap-1245	261	26	cost	cost	NOUN
ap-1245	261	27	2100	2100	NUM
ap-1245	261	28	mcm	mcm	PROPN
ap-1245	261	29	,	,	PUNCT
ap-1245	261	30	(	(	PUNCT
ap-1245	261	31	valencia	valencia	PROPN
ap-1245	261	32	,	,	PUNCT
ap-1245	261	33	spain	spain	PROPN
ap-1245	261	34	)	)	PUNCT
ap-1245	261	35	,	,	PUNCT
ap-1245	261	36	p.	p.	NOUN
ap-1245	261	37	1–6	1–6	NUM
ap-1245	261	38	,	,	PUNCT
ap-1245	261	39	may	may	PROPN
ap-1245	261	40	2009	2009	NUM
ap-1245	261	41	.	.	PUNCT
ap-1245	262	1	td-09	td-09	NUM
ap-1245	262	2	-	-	PUNCT
ap-1245	262	3	855	855	NUM
ap-1245	262	4	.	.	PUNCT
ap-1245	263	1	tomáš	tomáš	NOUN
ap-1245	263	2	uřičář	uřičář	PROPN
ap-1245	263	3	e	e	NOUN
ap-1245	263	4	-	-	NOUN
ap-1245	263	5	mail	mail	NOUN
ap-1245	263	6	:	:	PUNCT
ap-1245	263	7	uricatom@fel.cvut.cz	uricatom@fel.cvut.cz	NOUN
ap-1245	263	8	dept	dept	NOUN
ap-1245	263	9	.	.	PUNCT
ap-1245	264	1	of	of	ADP
ap-1245	264	2	radioelectronics	radioelectronic	NOUN
ap-1245	264	3	faculty	faculty	NOUN
ap-1245	264	4	of	of	ADP
ap-1245	264	5	electrical	electrical	ADJ
ap-1245	264	6	engineering	engineering	NOUN
ap-1245	264	7	czech	czech	PROPN
ap-1245	264	8	technical	technical	PROPN
ap-1245	264	9	university	university	PROPN
ap-1245	264	10	in	in	ADP
ap-1245	264	11	prague	prague	PROPN
ap-1245	264	12	technicka	technicka	PROPN
ap-1245	264	13	2	2	NUM
ap-1245	264	14	,	,	PUNCT
ap-1245	264	15	166	166	NUM
ap-1245	264	16	27	27	NUM
ap-1245	264	17	prague	prague	NOUN
ap-1245	264	18	,	,	PUNCT
ap-1245	264	19	czech	czech	PROPN
ap-1245	264	20	republic	republic	PROPN
ap-1245	264	21	86	86	NUM