{"id":"https://openalex.org/W1981718778","doi":"https://doi.org/10.1109/tvt.2015.2410759","title":"Joint Optimization of Transceiver Matrices for MIMO-Aided Multiuser AF Relay Networks: Improving the QoS in the Presence of CSI Errors","display_name":"Joint Optimization of Transceiver Matrices for MIMO-Aided Multiuser AF Relay Networks: Improving the QoS in the Presence of CSI Errors","publication_year":2015,"publication_date":"2015-03-27","ids":{"openalex":"https://openalex.org/W1981718778","doi":"https://doi.org/10.1109/tvt.2015.2410759","mag":"1981718778"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2015.2410759","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2410759","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/A5083633473","display_name":"Jiaxin Yang","orcid":"https://orcid.org/0000-0002-1355-4729"},"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":"Jiaxin Yang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, QC, Canada","Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, QC, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101474760","display_name":"Beno\u0131\u0302t Champagne","orcid":"https://orcid.org/0000-0002-0022-6072"},"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":"Benoit Champagne","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, QC, Canada","Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, QC, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090513264","display_name":"Yulong Zou","orcid":"https://orcid.org/0000-0002-8461-5306"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yulong Zou","raw_affiliation_strings":["School of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China","Sch. of Telecommun. & Inf. Eng., Nanjing Univ. of Posts & Telecommun., Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"Sch. of Telecommun. & Inf. Eng., Nanjing Univ. of Posts & Telecommun., Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":null,"display_name":"Lajos Hanzo","orcid":null},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lajos Hanzo","raw_affiliation_strings":["School of Electronics and Computer Science, University of Southampton, Southampton, U.K","Sch. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K","institution_ids":["https://openalex.org/I43439940"]},{"raw_affiliation_string":"Sch. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK#TAB#","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4005,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.94751491,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"65","issue":"3","first_page":"1434","last_page":"1451"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9979000091552734,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9975000023841858,"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":0.7484824657440186},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.618547797203064},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6164716482162476},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6030895113945007},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5965837240219116},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.5745702981948853},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.5076693296432495},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32140904664993286},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.280988872051239},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.27150988578796387},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2654944062232971},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.22559380531311035},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.12299293279647827},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12173202633857727},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.08358290791511536}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.7484824657440186},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.618547797203064},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6164716482162476},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6030895113945007},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5965837240219116},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.5745702981948853},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.5076693296432495},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32140904664993286},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.280988872051239},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.27150988578796387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2654944062232971},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.22559380531311035},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.12299293279647827},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12173202633857727},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.08358290791511536},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvt.2015.2410759","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2410759","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"},{"id":"pmh:oai:eprints.soton.ac.uk:375505","is_oa":false,"landing_page_url":"http://doi.org/10.1109/TVT.2015.2410759>).","pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1632601927","https://openalex.org/W1967073510","https://openalex.org/W1968154520","https://openalex.org/W1988668230","https://openalex.org/W1993709531","https://openalex.org/W1996215314","https://openalex.org/W2016611977","https://openalex.org/W2025121098","https://openalex.org/W2025829033","https://openalex.org/W2030421949","https://openalex.org/W2064539629","https://openalex.org/W2079468604","https://openalex.org/W2092575814","https://openalex.org/W2105235982","https://openalex.org/W2106829923","https://openalex.org/W2109005286","https://openalex.org/W2113703908","https://openalex.org/W2120249541","https://openalex.org/W2120406684","https://openalex.org/W2124541995","https://openalex.org/W2128628369","https://openalex.org/W2129900378","https://openalex.org/W2130945166","https://openalex.org/W2131456079","https://openalex.org/W2140960275","https://openalex.org/W2144528478","https://openalex.org/W2152121970","https://openalex.org/W2152662633","https://openalex.org/W2152976633","https://openalex.org/W2158562737","https://openalex.org/W2165350939","https://openalex.org/W2169159983","https://openalex.org/W2170738062","https://openalex.org/W2296319761","https://openalex.org/W3101483526","https://openalex.org/W3210839039","https://openalex.org/W4244633107","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2787091472","https://openalex.org/W2059045613","https://openalex.org/W2463175948","https://openalex.org/W2561242965","https://openalex.org/W884630482","https://openalex.org/W2006290459","https://openalex.org/W2465954300","https://openalex.org/W2025723618","https://openalex.org/W2552025594","https://openalex.org/W4211013851"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,27,41,53,57,77,80,88,92,101,110,124,135,143,161,179,183,189,197,214,217,221,229],"problem":[4,89,180],"of":[5,29,39,56,90,117,134,181,236,243],"amplify-and-forward":[6],"(AF)":[7],"relaying":[8],"for":[9,52,193],"multiple-input-multiple-output":[10],"(MIMO)":[11],"multiuser":[12],"relay":[13,62,104],"networks,":[14],"where":[15],"each":[16,194],"source":[17,58,102,198],"transmits":[18],"multiple":[19,30],"data":[20],"streams":[21],"to":[22,100,160,188],"its":[23],"corresponding":[24],"destination":[25],"with":[26,168,248],"assistance":[28],"relays.":[31],"Assuming":[32],"realistic":[33],"imperfect":[34],"channel":[35],"state":[36],"information":[37],"(CSI)":[38],"all":[40],"source-relay":[42],"and":[43,65,79,103,113,126,153,171,196,220],"relay-destination":[44],"links,":[45],"we":[46],"propose":[47],"a":[48],"robust":[49,112,115,145],"optimization":[50,137,174],"framework":[51],"joint":[54,231],"design":[55,233],"transmit":[59],"precoders":[60],"(TPCs),":[61],"AF":[63],"matrices":[64],"receive":[66],"filters.":[67],"Specifically,":[68,203],"two":[69],"well-known":[70],"CSI":[71,128,244],"error":[72,82,97],"models":[73],"are":[74,131,139,156],"considered,":[75],"namely,":[76],"statistical":[78,125],"norm-bounded":[81,127],"models.":[83],"We":[84,176],"commence":[85],"by":[86,158],"considering":[87],"minimizing":[91,182],"maximum":[93,184],"per-stream":[94],"mean":[95],"square":[96],"(MSE)":[98],"subject":[99,187],"power":[105,186,199],"constraints":[106,192,200],"(min-max":[107],"problem).":[108,202],"Then,":[109],"statistically":[111],"worst-case":[114,144],"versions":[116],"this":[118],"problem,":[119],"which":[120],"take":[121],"into":[122],"account":[123],"errors,":[129],"respectively,":[130],"formulated.":[132],"Both":[133],"resultant":[136],"problems":[138],"nonconvex":[140],"(semi-infinite":[141],"in":[142],"design).":[146],"Therefore,":[147],"algorithmic":[148],"solutions":[149],"having":[150],"proven":[151],"convergence":[152],"tractable":[154],"complexity":[155],"proposed":[157,211,230],"resorting":[159],"iterative":[162],"block":[163],"coordinate":[164],"update":[165],"approach":[166],"along":[167],"matrix":[169],"transformation":[170],"convex":[172],"conic":[173],"techniques.":[175],"then":[177],"consider":[178],"per-relay":[185],"quality-of-service":[190],"(QoS)":[191],"stream":[195],"(QoS":[201],"an":[204],"efficient":[205],"initial":[206],"feasibility":[207,218],"search":[208],"algorithm":[209],"is":[210,234],"based":[212],"on":[213],"relationship":[215],"between":[216],"check":[219],"min-max":[222],"problems.":[223],"Our":[224],"simulation":[225],"results":[226],"show":[227],"that":[228],"transceiver":[232],"capable":[235],"achieving":[237],"improved":[238],"robustness":[239],"against":[240],"different":[241],"types":[242],"errors":[245],"when":[246],"compared":[247],"nonrobust":[249],"approaches.":[250]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}