{"id":"https://openalex.org/W2116598909","doi":"https://doi.org/10.1109/icc.2009.5199235","title":"On Capacity Region of Two-Way Multi-Antenna Relay Channel with Analogue Network Coding","display_name":"On Capacity Region of Two-Way Multi-Antenna Relay Channel with Analogue Network Coding","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2116598909","doi":"https://doi.org/10.1109/icc.2009.5199235","mag":"2116598909"},"language":"en","primary_location":{"id":"doi:10.1109/icc.2009.5199235","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc.2009.5199235","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Communications","raw_type":"proceedings-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/A5100422102","display_name":"Rui Zhang","orcid":"https://orcid.org/0000-0002-8729-8393"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"R. Zhang","raw_affiliation_strings":["Institute for Infocomm Research, Agency for Science, Technology and Research (ASTAR), Singapore","Institute for Infocomm Research, A-star, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, Agency for Science, Technology and Research (ASTAR), Singapore","institution_ids":["https://openalex.org/I3005327000","https://openalex.org/I115228651"]},{"raw_affiliation_string":"Institute for Infocomm Research, A-star, Singapore","institution_ids":["https://openalex.org/I3005327000"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111919962","display_name":"Chin Choy Chai","orcid":null},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"C. C. Chai","raw_affiliation_strings":["Institute for Infocomm Research, Agency for Science, Technology and Research (ASTAR), Singapore","Institute for Infocomm Research, A-star, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, Agency for Science, Technology and Research (ASTAR), Singapore","institution_ids":["https://openalex.org/I3005327000","https://openalex.org/I115228651"]},{"raw_affiliation_string":"Institute for Infocomm Research, A-star, Singapore","institution_ids":["https://openalex.org/I3005327000"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007832415","display_name":"Ying\u2010Chang Liang","orcid":"https://orcid.org/0000-0003-2671-5090"},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Y.-C. Liang","raw_affiliation_strings":["Institute for Infocomm Research, Agency for Science, Technology and Research, Singapore","Institute for Infocomm Research, A-star, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, Agency for Science, Technology and Research, Singapore","institution_ids":["https://openalex.org/I3005327000","https://openalex.org/I115228651"]},{"raw_affiliation_string":"Institute for Infocomm Research, A-star, Singapore","institution_ids":["https://openalex.org/I3005327000"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009164482","display_name":"Shuguang Cui","orcid":"https://orcid.org/0000-0003-2608-775X"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Cui","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Texas A and M University, TX, USA","Department of Electrical and Computer Engineering, Texas A&M University, Texas#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A and M University, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A&M University, Texas#TAB#","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6288,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.93379307,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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":0.9941999912261963,"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":0.6645887494087219},{"id":"https://openalex.org/keywords/decodes","display_name":"Decodes","score":0.542619526386261},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5126187205314636},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.49918508529663086},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4487810730934143},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3550596237182617},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3516715168952942},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.30523359775543213},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.26213085651397705},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20340865850448608},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19815099239349365},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1115039587020874},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09563460946083069}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.6645887494087219},{"id":"https://openalex.org/C2778858076","wikidata":"https://www.wikidata.org/wiki/Q5249539","display_name":"Decodes","level":3,"score":0.542619526386261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5126187205314636},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.49918508529663086},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4487810730934143},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3550596237182617},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3516715168952942},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.30523359775543213},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.26213085651397705},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20340865850448608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19815099239349365},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1115039587020874},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09563460946083069},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icc.2009.5199235","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc.2009.5199235","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1530386473","https://openalex.org/W1949836348","https://openalex.org/W1975099099","https://openalex.org/W1984313855","https://openalex.org/W2074859470","https://openalex.org/W2082568861","https://openalex.org/W2096092982","https://openalex.org/W2113026489","https://openalex.org/W2115165535","https://openalex.org/W2126351339","https://openalex.org/W2142681562","https://openalex.org/W2144837603","https://openalex.org/W2148457751","https://openalex.org/W2152496949","https://openalex.org/W2153813871","https://openalex.org/W2167282237","https://openalex.org/W2296319761","https://openalex.org/W3105837325","https://openalex.org/W4250589301","https://openalex.org/W6631800929","https://openalex.org/W6640924813"],"related_works":["https://openalex.org/W2147073653","https://openalex.org/W2539674285","https://openalex.org/W1998322187","https://openalex.org/W1038122923","https://openalex.org/W2117230662","https://openalex.org/W2548939748","https://openalex.org/W2004047158","https://openalex.org/W2135873925","https://openalex.org/W2954052413","https://openalex.org/W2144903089"],"abstract_inverted_index":{"This":[0],"paper":[1,116],"studies":[2],"the":[3,36,51,60,65,84,88,96,118,140,149,161,174],"wireless":[4],"<i":[5,8,11,68,71,74,119,122],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,9,12,69,72,75,120,123],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">two-way</i>":[7],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">relay</i>":[10],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">channel</i>":[13],"(TWRC),":[14],"where":[15],"two":[16],"source":[17],"nodes,":[18],"S1":[19,40,56,80,101,145],"and":[20,41,46,49,57,81,93,102,111,146,157],"S2,":[21,156],"exchange":[22],"information":[23],"through":[24],"an":[25,126,169],"assisting":[26],"relay":[27,163],"node,":[28],"R.":[29,134,158],"It":[30],"is":[31],"assumed":[32],"that":[33,100],"R":[34,92,112],"receives":[35],"sum":[37],"signal":[38,53,90],"from":[39,91],"S2":[42,58,82,103,147],"in":[43,59,87],"one":[44],"time-slot,":[45],"then":[47,94],"amplifies":[48],"forwards":[50],"received":[52,89],"to":[54,172],"both":[55],"next":[61],"time-slot.":[62],"By":[63],"applying":[64],"principle":[66],"of":[67,79,125,144],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">analogue</i>":[70],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">network</i>":[73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">coding</i>":[76],"(ANC),":[77],"each":[78,105],"cancels":[83],"so-called":[85],"\"self-interference\"":[86],"decodes":[95],"desired":[97],"message.":[98],"Assuming":[99],"are":[104],"equipped":[106],"with":[107,113,129],"a":[108],"single":[109],"antenna":[110],"multi-antennas,":[114],"this":[115],"analyzes":[117],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">capacity</i>":[121],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">region</i>":[124],"ANC-based":[127],"TWRC":[128],"linear":[130],"processing":[131],"(beamforming)":[132],"at":[133,154],"The":[135],"capacity":[136],"region":[137],"contains":[138],"all":[139],"achievable":[141],"bidirectional":[142],"rate-pairs":[143],"under":[148],"given":[150],"transmit":[151],"power":[152],"constraints":[153],"S1,":[155],"We":[159],"present":[160],"optimal":[162,175],"beamforming":[164,176],"structure":[165],"as":[166,168],"well":[167],"efficient":[170],"algorithm":[171],"compute":[173],"matrix":[177],"based":[178],"on":[179],"convex":[180],"optimization":[181],"techniques.":[182]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}