{"id":"https://openalex.org/W2092640771","doi":"https://doi.org/10.1109/tvt.2010.2090180","title":"Nonlinear Transceiver Designs in MIMO Amplify-and-Forward Relay Systems","display_name":"Nonlinear Transceiver Designs in MIMO Amplify-and-Forward Relay Systems","publication_year":2010,"publication_date":"2010-11-09","ids":{"openalex":"https://openalex.org/W2092640771","doi":"https://doi.org/10.1109/tvt.2010.2090180","mag":"2092640771"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2010.2090180","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2010.2090180","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/A5008433666","display_name":"Fan-Shuo Tseng","orcid":"https://orcid.org/0000-0003-0362-5121"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Fan-Shuo Tseng","raw_affiliation_strings":["Department of Electrical Engineering, National Chiao Tung University, Hsinchu, Taiwan","Dept. of Electr. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Chiao Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan#TAB#","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084663385","display_name":"Wen-Rong Wu","orcid":"https://orcid.org/0000-0001-8333-7124"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wen-Rong Wu","raw_affiliation_strings":["Department of Electrical Engineering, National Chiao Tung University, Hsinchu, Taiwan","Dept. of Electr. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Chiao Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan#TAB#","institution_ids":["https://openalex.org/I148366613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I148366613"],"apc_list":null,"apc_paid":null,"fwci":5.4838,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.96052928,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"2","first_page":"528","last_page":"538"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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":1.0,"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":0.9990000128746033,"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":0.9962999820709229,"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":0.8638160228729248},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6805585622787476},{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.6622804403305054},{"id":"https://openalex.org/keywords/transceiver","display_name":"Transceiver","score":0.6333737373352051},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4950934946537018},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49213260412216187},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.47643977403640747},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46290409564971924},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.37754493951797485},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3466641902923584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28702741861343384},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2864828109741211},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2253270149230957},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13906458020210266},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.11077859997749329},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.08395746350288391}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8638160228729248},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6805585622787476},{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.6622804403305054},{"id":"https://openalex.org/C7720470","wikidata":"https://www.wikidata.org/wiki/Q954187","display_name":"Transceiver","level":3,"score":0.6333737373352051},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4950934946537018},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49213260412216187},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.47643977403640747},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46290409564971924},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.37754493951797485},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3466641902923584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28702741861343384},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2864828109741211},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2253270149230957},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13906458020210266},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.11077859997749329},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.08395746350288391},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2010.2090180","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2010.2090180","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":22,"referenced_works":["https://openalex.org/W2025889675","https://openalex.org/W2029435453","https://openalex.org/W2097938368","https://openalex.org/W2102934991","https://openalex.org/W2106801259","https://openalex.org/W2113026489","https://openalex.org/W2119280464","https://openalex.org/W2120840652","https://openalex.org/W2125668934","https://openalex.org/W2133338231","https://openalex.org/W2133589459","https://openalex.org/W2140849781","https://openalex.org/W2148046981","https://openalex.org/W2152121970","https://openalex.org/W2156779572","https://openalex.org/W2160185418","https://openalex.org/W2165350939","https://openalex.org/W2167831128","https://openalex.org/W2296319761","https://openalex.org/W2798333393","https://openalex.org/W4248676392","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2020506034","https://openalex.org/W2483564578","https://openalex.org/W2885150705","https://openalex.org/W1660807705","https://openalex.org/W4379115383","https://openalex.org/W2586156038","https://openalex.org/W2045344526","https://openalex.org/W2982309375","https://openalex.org/W4293561516","https://openalex.org/W2099300057"],"abstract_inverted_index":{"Various":[0],"linear":[1,37,51,216],"transceiver":[2,33],"design":[3],"methods":[4],"have":[5,22],"been":[6],"developed":[7],"in":[8,18,171],"three-node":[9],"amplify-and-forward":[10],"(AF)":[11],"multiple-input-multiple-output":[12],"(MIMO)":[13],"relay":[14,40,54,82,169,177],"systems.":[15],"Nonlinear":[16],"designs":[17,34,64],"such":[19],"systems,":[20],"however,":[21],"yet":[23],"to":[24,99,109,187],"be":[25,134,153,162,185,198],"investigated.":[26],"In":[27],"this":[28],"paper,":[29],"we":[30,96],"propose":[31,138],"nonlinear":[32],"for":[35,142],"a":[36,75,110,113,139,156,165,175,188],"source":[38,52,80,144,159],"and":[39,49,53,81,112,116,146],"precoded":[41,55],"system":[42,56],"with":[43,57],"the":[44,58,66,69,79,85,94,100,106,118,130,143,149,158,168,172,180,201,208,214],"QR":[45],"successive-interference-cancellation":[46],"(SIC)":[47],"receiver":[48],"another":[50],"minimum-mean-squared-error":[59],"(MMSE)":[60],"SIC":[61],"receiver.":[62],"Our":[63],"minimize":[65],"criterion":[67],"of":[68,78,167],"block":[70],"error":[71],"rate,":[72],"which":[73],"is":[74,89],"complicated":[76],"function":[77,166],"precoders.":[83],"Solving":[84],"two":[86,119,124],"precoders":[87,120],"simultaneously":[88],"not":[90],"feasible.":[91],"To":[92],"overcome":[93],"difficulties,":[95],"first":[97],"resort":[98],"primal":[101],"decomposition":[102,131],"approach,":[103],"i.e.,":[104],"transferring":[105],"original":[107],"optimization":[108,191],"subproblem":[111],"master":[114,181],"problem":[115,182],"solving":[117],"individually.":[121],"However,":[122],"since":[123],"power":[125,150],"constraints":[126,151],"are":[127],"mutually":[128],"coupled,":[129],"cannot":[132],"actually":[133],"conducted.":[135],"We":[136],"then":[137],"unitary":[140],"structure":[141],"precoder":[145,160,170,178],"show":[147,206],"that":[148,207],"can":[152,161,183,196,211],"decoupled.":[154],"As":[155],"result,":[157],"solved":[163],"as":[164],"subproblem.":[173],"With":[174],"proposed":[176,209],"structure,":[179],"further":[184],"transferred":[186],"scalar-valued":[189],"concave":[190],"problem.":[192],"A":[193],"closed-form":[194],"solution":[195],"finally":[197],"derived":[199],"by":[200],"Karuch-Kuhn-Tucker":[202],"(KKT)":[203],"conditions.":[204],"Simulations":[205],"transceivers":[210],"significantly":[212],"outperform":[213],"existing":[215],"transceivers.":[217]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
