{"id":"https://openalex.org/W2008811163","doi":"https://doi.org/10.1109/tvt.2012.2211906","title":"Two-Way Relaying With Multi-Antenna Sources: Beamforming and Antenna Selection","display_name":"Two-Way Relaying With Multi-Antenna Sources: Beamforming and Antenna Selection","publication_year":2012,"publication_date":"2012-08-07","ids":{"openalex":"https://openalex.org/W2008811163","doi":"https://doi.org/10.1109/tvt.2012.2211906","mag":"2008811163"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2012.2211906","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2012.2211906","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/A5100680993","display_name":"Nan Yang","orcid":"https://orcid.org/0000-0002-9373-5289"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nan Yang","raw_affiliation_strings":["Wireless and Networking Technologies Laboratory, Information and Communication Technologies Center, Commonwealth Scientific and Industrial Research Organization, Sydney, NSW, Australia","Wireless & Networking Technol. Lab., Commonwealth Sci. & Ind. Res. Organ. Inf. & Commun. Technol. Center, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wireless and Networking Technologies Laboratory, Information and Communication Technologies Center, Commonwealth Scientific and Industrial Research Organization, Sydney, NSW, Australia","institution_ids":[]},{"raw_affiliation_string":"Wireless & Networking Technol. Lab., Commonwealth Sci. & Ind. Res. Organ. Inf. & Commun. Technol. Center, Sydney, NSW, Australia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064721659","display_name":"Phee Lep Yeoh","orcid":"https://orcid.org/0000-0002-2516-4226"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Phee Lep Yeoh","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne, VIC, Australia","Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015335741","display_name":"Maged Elkashlan","orcid":"https://orcid.org/0000-0002-5168-0160"},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Elkashlan","raw_affiliation_strings":["School of Electronic Engineering and Computer Science, Queen Mary, University of London, London, UK","[Sch. of Electron. Eng. & Comput. Sci, Queen Mary, Univ. of London, London, UK]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering and Computer Science, Queen Mary, University of London, London, UK","institution_ids":["https://openalex.org/I166337079"]},{"raw_affiliation_string":"[Sch. of Electron. Eng. & Comput. Sci, Queen Mary, Univ. of London, London, UK]","institution_ids":["https://openalex.org/I166337079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033728735","display_name":"Iain B. Collings","orcid":"https://orcid.org/0000-0002-4857-2601"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I. B. Collings","raw_affiliation_strings":["Wireless and Networking Technologies Laboratory, Information and Communication Technologies Center, Commonwealth Scientific and Industrial Research Organization, Sydney, NSW, Australia","Wireless & Networking Technol. Lab., Commonwealth Sci. & Ind. Res. Organ. Inf. & Commun. Technol. Center, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wireless and Networking Technologies Laboratory, Information and Communication Technologies Center, Commonwealth Scientific and Industrial Research Organization, Sydney, NSW, Australia","institution_ids":[]},{"raw_affiliation_string":"Wireless & Networking Technol. Lab., Commonwealth Sci. & Ind. Res. Organ. Inf. & Commun. Technol. Center, Sydney, NSW, Australia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100620747","display_name":"Zhuo Chen","orcid":"https://orcid.org/0000-0002-2899-7565"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhuo Chen","raw_affiliation_strings":["Wireless and Networking Technologies Laboratory, Information and Communication Technologies Center, Commonwealth Scientific and Industrial Research Organization, Sydney, NSW, Australia","Wireless & Networking Technol. Lab., Commonwealth Sci. & Ind. Res. Organ. Inf. & Commun. Technol. Center, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wireless and Networking Technologies Laboratory, Information and Communication Technologies Center, Commonwealth Scientific and Industrial Research Organization, Sydney, NSW, Australia","institution_ids":[]},{"raw_affiliation_string":"Wireless & Networking Technol. Lab., Commonwealth Sci. & Ind. Res. Organ. Inf. & Commun. Technol. Center, Sydney, NSW, Australia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.8918,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.98589871,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"61","issue":"9","first_page":"3996","last_page":"4008"},"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":0.9984999895095825,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9954000115394592,"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/fading","display_name":"Fading","score":0.7492293119430542},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7180004119873047},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.5196874737739563},{"id":"https://openalex.org/keywords/phase-shift-keying","display_name":"Phase-shift keying","score":0.48205503821372986},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.4752899408340454},{"id":"https://openalex.org/keywords/nakagami-distribution","display_name":"Nakagami distribution","score":0.45953866839408875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45619019865989685},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4423177242279053},{"id":"https://openalex.org/keywords/quadrature-amplitude-modulation","display_name":"Quadrature amplitude modulation","score":0.4301843047142029},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.41016897559165955},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40023988485336304},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.32956260442733765},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.32272547483444214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29881900548934937},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2895745038986206},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18729406595230103},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16212114691734314},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15692299604415894},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14206662774085999},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.09624102711677551}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.7492293119430542},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7180004119873047},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.5196874737739563},{"id":"https://openalex.org/C186378180","wikidata":"https://www.wikidata.org/wiki/Q4874866","display_name":"Phase-shift keying","level":4,"score":0.48205503821372986},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.4752899408340454},{"id":"https://openalex.org/C115098869","wikidata":"https://www.wikidata.org/wiki/Q3258347","display_name":"Nakagami distribution","level":4,"score":0.45953866839408875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45619019865989685},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4423177242279053},{"id":"https://openalex.org/C32409245","wikidata":"https://www.wikidata.org/wiki/Q749753","display_name":"Quadrature amplitude modulation","level":4,"score":0.4301843047142029},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.41016897559165955},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40023988485336304},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.32956260442733765},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.32272547483444214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29881900548934937},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2895745038986206},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18729406595230103},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16212114691734314},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15692299604415894},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14206662774085999},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.09624102711677551},{"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/tvt.2012.2211906","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2012.2211906","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W598996319","https://openalex.org/W1522045078","https://openalex.org/W1971810096","https://openalex.org/W1974598214","https://openalex.org/W1974945857","https://openalex.org/W1978665394","https://openalex.org/W1980884013","https://openalex.org/W1998958650","https://openalex.org/W2033388622","https://openalex.org/W2049483782","https://openalex.org/W2051990896","https://openalex.org/W2068712429","https://openalex.org/W2079320213","https://openalex.org/W2097536530","https://openalex.org/W2101449172","https://openalex.org/W2104211099","https://openalex.org/W2104951907","https://openalex.org/W2108282849","https://openalex.org/W2109191808","https://openalex.org/W2109827463","https://openalex.org/W2110757521","https://openalex.org/W2112995848","https://openalex.org/W2113418049","https://openalex.org/W2119523314","https://openalex.org/W2126235070","https://openalex.org/W2126761958","https://openalex.org/W2127555378","https://openalex.org/W2139794367","https://openalex.org/W2143005940","https://openalex.org/W2143310681","https://openalex.org/W2144531878","https://openalex.org/W2145730225","https://openalex.org/W2152121970","https://openalex.org/W2157005274","https://openalex.org/W2158714612","https://openalex.org/W2163892104","https://openalex.org/W2164647017","https://openalex.org/W2168814427","https://openalex.org/W2170678546","https://openalex.org/W4235371447"],"related_works":["https://openalex.org/W2142618516","https://openalex.org/W2893995248","https://openalex.org/W2148868771","https://openalex.org/W2085207364","https://openalex.org/W2901356766","https://openalex.org/W2018164385","https://openalex.org/W1993069619","https://openalex.org/W2408534990","https://openalex.org/W2258464215","https://openalex.org/W2003011219"],"abstract_inverted_index":{"We":[0,143],"propose":[1],"and":[2,41,65,87,109,139,160,213],"analyze":[3],"two":[4,53,152],"multiple-input-multiple-output":[5],"(MIMO)":[6],"two-way":[7],"relaying":[8],"schemes":[9,153],"with":[10,44,75,239],"an":[11],"amplify-and-forward":[12],"protocol":[13],"in":[14,51,154,192,233],"Nakagami-":[15],"<i":[16,48,76,83,88,96],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[17,49,77,84,89,97],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</i>":[18,50],"fading":[19,46,141],"channels,":[20],"where":[21],"multi-antenna":[22],"sources":[23,212],"communicate":[24],"via":[25],"a":[26,32,240],"single-antenna":[27],"relay.":[28,215],"Specifically,":[29],"we":[30,60,105,169],"present":[31],"new":[33,62,196],"framework":[34],"for":[35,68,199],"the":[36,52,58,69,102,113,123,131,134,140,147,151,171,178,184,193,200,206,211,214,225,231,234],"comparative":[37],"analysis":[38],"of":[39,133,136,156,174,195],"beamforming":[40,108,229],"antenna":[42,110,222],"selection":[43,111,223],"nonidentical":[45],"parameter":[47],"source-relay":[54,125],"links.":[55],"To":[56,165],"facilitate":[57],"comparison,":[59],"derive":[61],"exact,":[63],"approximate,":[64],"asymptotic":[66,103],"expressions":[67,198],"sum":[70],"symbol":[71],"error":[72],"rate":[73],"(SSER)":[74],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">M</i>":[78,85,90,98],"-ary":[79,91],"phase-shift":[80],"keying":[81],"(":[82,95],"-PSK)":[86],"quadrature":[92],"amplitude":[93],"modulation":[94],"-QAM).":[99],"Based":[100],"on":[101],"SSER,":[104],"prove":[106],"that":[107,183,203,221],"have":[112],"same":[114,226],"diversity":[115,118],"order.":[116],"The":[117],"order":[119],"is":[120,128,186,190,219,237],"dominated":[121],"by":[122,130],"weaker":[124,235],"link,":[126],"which":[127],"determined":[129],"product":[132],"number":[135],"source":[137,232],"antennas":[138],"parameter.":[142],"proceed":[144],"to":[145,176],"characterize":[146],"fundamental":[148],"difference":[149],"between":[150,210],"terms":[155],"their":[157],"array":[158],"gains":[159],"average":[161],"signal-to-noise":[162],"ratios":[163],"(SNRs).":[164],"obtain":[166],"further":[167],"insights,":[168],"address":[170],"key":[172],"question":[173],"\u201cHow":[175],"allocate":[177],"total":[179,207],"transmit":[180,208],"power":[181,209],"such":[182],"SSER":[185,227],"minimized?\u201d":[187],"Our":[188],"answer":[189],"given":[191],"form":[194],"concise":[197],"power-allocation":[201],"factor":[202],"optimally":[204],"distributes":[205],"A":[216],"pivotal":[217],"conclusion":[218],"reached":[220],"offers":[224],"as":[228],"when":[230],"link":[236],"equipped":[238],"single":[241],"antenna.":[242]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}