{"id":"https://openalex.org/W2156662959","doi":"https://doi.org/10.1109/tvt.2011.2138176","title":"Bandwidth-Efficient Bit-Interleaved Coded Modulation Over NAF Relay Channels: Error Performance and Precoder Design","display_name":"Bandwidth-Efficient Bit-Interleaved Coded Modulation Over NAF Relay Channels: Error Performance and Precoder Design","publication_year":2011,"publication_date":"2011-04-06","ids":{"openalex":"https://openalex.org/W2156662959","doi":"https://doi.org/10.1109/tvt.2011.2138176","mag":"2156662959"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2011.2138176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2011.2138176","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080774708","display_name":"Leonardo Jim\u00e9nez Rodr\u00edguez","orcid":"https://orcid.org/0000-0003-1666-1164"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Leonardo Jime\u0301nez Rodriguez","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045721364","display_name":"Nghi H. Tran","orcid":"https://orcid.org/0000-0002-4246-0190"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Nghi H Tran","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026464766","display_name":"Tho Le\u2010Ngoc","orcid":"https://orcid.org/0000-0002-9308-8894"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tho Le-Ngoc","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.657,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.9338417,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"60","issue":"5","first_page":"2086","last_page":"2101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.5740911960601807},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5281690955162048},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.526443362236023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4983534812927246},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4911949336528778},{"id":"https://openalex.org/keywords/cram\u00e9r\u2013rao-bound","display_name":"Cram\u00e9r\u2013Rao bound","score":0.45975399017333984},{"id":"https://openalex.org/keywords/modulation","display_name":"Modulation (music)","score":0.446611613035202},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.4379828870296478},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.4209533631801605},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.4202226996421814},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4155998229980469},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3934847116470337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3755228519439697},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2503969073295593},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16060128808021545},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.15711310505867004},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.1413995623588562},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13619282841682434},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13032811880111694},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09665855765342712}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.5740911960601807},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5281690955162048},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.526443362236023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4983534812927246},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4911949336528778},{"id":"https://openalex.org/C4978587","wikidata":"https://www.wikidata.org/wiki/Q1138810","display_name":"Cram\u00e9r\u2013Rao bound","level":3,"score":0.45975399017333984},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.446611613035202},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.4379828870296478},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.4209533631801605},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.4202226996421814},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4155998229980469},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3934847116470337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3755228519439697},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2503969073295593},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16060128808021545},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.15711310505867004},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.1413995623588562},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13619282841682434},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13032811880111694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09665855765342712},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2011.2138176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2011.2138176","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1993685308","https://openalex.org/W2004496619","https://openalex.org/W2025889675","https://openalex.org/W2026898705","https://openalex.org/W2053275186","https://openalex.org/W2102934991","https://openalex.org/W2111354185","https://openalex.org/W2117778302","https://openalex.org/W2120062331","https://openalex.org/W2122574534","https://openalex.org/W2122989348","https://openalex.org/W2130347036","https://openalex.org/W2130876557","https://openalex.org/W2133338231","https://openalex.org/W2136209931","https://openalex.org/W2138208223","https://openalex.org/W2148749751","https://openalex.org/W2148963518","https://openalex.org/W2150940322","https://openalex.org/W2152121970","https://openalex.org/W2152549909","https://openalex.org/W2155722340","https://openalex.org/W2156092280","https://openalex.org/W2163708326","https://openalex.org/W2163859360","https://openalex.org/W3029645440","https://openalex.org/W4301014524"],"related_works":["https://openalex.org/W4308749380","https://openalex.org/W2164801693","https://openalex.org/W2120266201","https://openalex.org/W2585557503","https://openalex.org/W2389491004","https://openalex.org/W2384282517","https://openalex.org/W2539674285","https://openalex.org/W1976418043","https://openalex.org/W2378226311","https://openalex.org/W2035458027"],"abstract_inverted_index":{"This":[0,68],"paper":[1],"investigates":[2],"the":[3,30,53,76,84,100,119,126,135,140,146,149,153,157,161,169,174,192,197,222,238],"error":[4,33,77],"performance":[5,121],"and":[6,152,217],"precoder":[7,137],"design":[8],"for":[9,39,74,132,211,241],"a":[10,18,57,71,90,96,187,233],"bandwidth-efficient":[11],"bit-interleaved":[12],"coded":[13,85],"modulation":[14,213],"(BICM)":[15],"system":[16,87],"over":[17,237],"nonorthogonal":[19],"amplify-and-forward":[20],"(NAF)":[21],"half-duplex":[22],"single-relay":[23],"channel.":[24],"A":[25],"tight":[26],"union":[27],"bound":[28,69,101],"on":[29,105],"asymptotic":[31,120,176],"bit":[32],"probability":[34],"(BEP)":[35],"is":[36,80,102,122,183,207],"first":[37,150,162],"derived":[38,136],"an":[40,108],"arbitrary":[41],"block":[42],"length":[43],"of":[44,55,99,111,148,156,196],"2":[45,58,63,91,93,112,114],"<i":[46,59,64],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[47,60,65],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</i>":[48,61,66],",":[49],"which":[50],"corresponds":[51],"to":[52,83,118,144,172],"case":[54],"using":[56],"\u00d7":[62,92,113],"precoder.":[67],"provides":[70],"useful":[72],"tool":[73],"predicting":[75],"performance.":[78,177],"Attention":[79],"then":[81,123,208],"paid":[82],"NAF":[86,243],"that":[88,129,139,186,190,221],"uses":[89],"precoder,":[94],"where":[95],"closed-form":[97],"expression":[98],"obtained.":[103],"Based":[104],"this":[106],"expression,":[107],"optimal":[109,127,204,239],"class":[110],"precoders":[115,128,224,240],"with":[116],"respect":[117],"developed.":[124],"Unlike":[125],"are":[130],"designed":[131],"uncoded":[133,242],"systems,":[134],"indicates":[138],"source":[141],"only":[142,226],"needs":[143],"send":[145],"superposition":[147,198],"symbol":[151,159],"rotated":[154],"version":[155],"second":[158],"in":[160,168],"time":[163],"slot":[164,171],"while":[165],"being":[166],"silent":[167],"remaining":[170],"achieve":[173],"best":[175],"For":[178],"good":[179],"convergence":[180],"property,":[181],"it":[182],"further":[184],"shown":[185],"rotation":[188,205],"angle":[189,206],"maximizes":[191],"minimum":[193],"Euclidean":[194],"distance":[195],"constellation":[199],"should":[200],"be":[201],"used.":[202],"An":[203],"analytically":[209],"determined":[210],"various":[212],"schemes.":[214],"Both":[215],"analytical":[216],"simulation":[218],"results":[219],"show":[220],"proposed":[223],"not":[225],"exploit":[227],"full":[228],"cooperative":[229],"diversity":[230],"but":[231],"offer":[232],"significant":[234],"coding":[235],"gain":[236],"systems":[244],"as":[245],"well.":[246]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
