{"id":"https://openalex.org/W2516545426","doi":"https://doi.org/10.1109/tvt.2016.2601344","title":"Robust MMSE Beamforming for Multiantenna Relay Networks","display_name":"Robust MMSE Beamforming for Multiantenna Relay Networks","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2516545426","doi":"https://doi.org/10.1109/tvt.2016.2601344","mag":"2516545426"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2016.2601344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2016.2601344","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":true,"oa_status":"green","oa_url":"https://eprints.whiterose.ac.uk/103508/1/Robust_MSE_MIMO_relay_single_col_final_accepted_07_08_16.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067366238","display_name":"Kanapathippillai Cumanan","orcid":"https://orcid.org/0000-0002-9735-7019"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kanapathippillai Cumanan","raw_affiliation_strings":["Department of Electronics, University of York, York, U.K"],"raw_orcid":"https://orcid.org/0000-0002-9735-7019","affiliations":[{"raw_affiliation_string":"Department of Electronics, University of York, York, U.K","institution_ids":["https://openalex.org/I52099693"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002904166","display_name":"Zhiguo Ding","orcid":"https://orcid.org/0000-0001-5280-384X"},"institutions":[{"id":"https://openalex.org/I67415387","display_name":"Lancaster University","ror":"https://ror.org/04f2nsd36","country_code":"GB","type":"education","lineage":["https://openalex.org/I67415387"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Zhiguo Ding","raw_affiliation_strings":["School of Computing and Communications, Lancaster University, Lancaster, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Communications, Lancaster University, Lancaster, U.K","institution_ids":["https://openalex.org/I67415387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021724967","display_name":"Yogachandran Rahulamathavan","orcid":"https://orcid.org/0000-0002-1722-8621"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yogachandran Rahulamathavan","raw_affiliation_strings":["Institute for Digital Technologies, Loughborough University, London, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Digital Technologies, Loughborough University, London, U.K","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046979252","display_name":"Mehdi M. Molu","orcid":"https://orcid.org/0000-0003-1336-3647"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mehdi M. Molu","raw_affiliation_strings":["Department of Electronics, University of York, York, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics, University of York, York, U.K","institution_ids":["https://openalex.org/I52099693"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084739355","display_name":"Hsiao\u2010Hwa Chen","orcid":"https://orcid.org/0000-0001-8473-0729"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Hsiao Hwa Chen","raw_affiliation_strings":["Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0294,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.91931598,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998000264167786,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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":0.9991999864578247,"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/beamforming","display_name":"Beamforming","score":0.8084173202514648},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.755418062210083},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.5911734104156494},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.5709629058837891},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5504608154296875},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4886937439441681},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48726168274879456},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.4779393970966339},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.4283900856971741},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4262385666370392},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4130555987358093},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40557175874710083},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3478847146034241},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.25251272320747375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23108598589897156},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.218184232711792},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.21438753604888916},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.1487601101398468},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06975379586219788}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8084173202514648},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.755418062210083},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.5911734104156494},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.5709629058837891},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5504608154296875},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4886937439441681},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48726168274879456},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.4779393970966339},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.4283900856971741},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4262385666370392},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4130555987358093},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40557175874710083},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3478847146034241},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.25251272320747375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23108598589897156},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.218184232711792},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.21438753604888916},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.1487601101398468},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06975379586219788},{"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tvt.2016.2601344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2016.2601344","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.whiterose.ac.uk:103508","is_oa":true,"landing_page_url":"https://orcid.org/0000-0002-9735-7019>,","pdf_url":"https://eprints.whiterose.ac.uk/103508/1/Robust_MSE_MIMO_relay_single_col_final_accepted_07_08_16.pdf","source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:dspace.lboro.ac.uk:2134/22210","is_oa":true,"landing_page_url":"https://dspace.lboro.ac.uk/2134/22210","pdf_url":null,"source":{"id":"https://openalex.org/S4306401023","display_name":"Loughborough University Institutional Repository (Loughborough University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I143804889","host_organization_name":"Loughborough University","host_organization_lineage":["https://openalex.org/I143804889"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:figshare.com:article/9463745","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Robust_MMSE_beamforming_for_multiantenna_relay_networks/9463745","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:eprints.whiterose.ac.uk:103508","is_oa":true,"landing_page_url":"https://orcid.org/0000-0002-9735-7019>,","pdf_url":"https://eprints.whiterose.ac.uk/103508/1/Robust_MSE_MIMO_relay_single_col_final_accepted_07_08_16.pdf","source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2088751994","display_name":null,"funder_award_id":"EP/N005597/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3038755879","display_name":null,"funder_award_id":"EP/L025272/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2516545426.pdf","grobid_xml":"https://content.openalex.org/works/W2516545426.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1509805685","https://openalex.org/W1971177458","https://openalex.org/W1977958403","https://openalex.org/W1982472349","https://openalex.org/W1987363843","https://openalex.org/W1989137224","https://openalex.org/W1998530521","https://openalex.org/W2019080991","https://openalex.org/W2042687712","https://openalex.org/W2072603128","https://openalex.org/W2077647448","https://openalex.org/W2077922910","https://openalex.org/W2083805054","https://openalex.org/W2086984327","https://openalex.org/W2094889523","https://openalex.org/W2098126478","https://openalex.org/W2102024788","https://openalex.org/W2110497942","https://openalex.org/W2110757521","https://openalex.org/W2113026489","https://openalex.org/W2113168978","https://openalex.org/W2119280464","https://openalex.org/W2119887065","https://openalex.org/W2120406684","https://openalex.org/W2121342401","https://openalex.org/W2124412092","https://openalex.org/W2124541995","https://openalex.org/W2130613910","https://openalex.org/W2139991056","https://openalex.org/W2140960275","https://openalex.org/W2143722559","https://openalex.org/W2144281073","https://openalex.org/W2149237351","https://openalex.org/W2152976633","https://openalex.org/W2154119053","https://openalex.org/W2164171933","https://openalex.org/W2166046026","https://openalex.org/W2166117654","https://openalex.org/W2167282237","https://openalex.org/W2168470385","https://openalex.org/W2168481029","https://openalex.org/W2296319761","https://openalex.org/W2963103095","https://openalex.org/W3210839039","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W4220680272","https://openalex.org/W2088352174","https://openalex.org/W1965566556","https://openalex.org/W3084132786","https://openalex.org/W4327661444","https://openalex.org/W2034991012","https://openalex.org/W2595297530","https://openalex.org/W2110879650","https://openalex.org/W2787091472","https://openalex.org/W2119435011"],"abstract_inverted_index":{"In":[0,190],"this":[1],"paper,":[2],"we":[3,192],"propose":[4,88],"a":[5,20,34,89,94,166,210],"robust":[6,90,112],"minimum":[7],"mean":[8,202],"square":[9,203],"error":[10,204],"(MMSE)-based":[11],"beamforming":[12,91,148],"technique":[13,92],"for":[14,93,209],"multiantenna":[15,21,35],"relay":[16,57,107,155],"broadcast":[17],"channels,":[18],"where":[19,55],"base":[22,42,63,152],"station":[23,43,64],"transmits":[24],"signal":[25,38,60,76],"to":[26,44,77,142,197,220],"single":[27,46],"antenna":[28,47],"users":[29,48,79],"with":[30,98,187],"the":[31,41,45,56,59,62,66,74,106,109,118,123,130,151,154,172,199,222,225],"help":[32],"of":[33,147,185,206,213,224],"relay.":[36],"The":[37,132],"transmission":[39],"from":[40,61],"is":[49,114,136,179],"completed":[50],"in":[51,65,129,145],"two":[52],"time":[53,68],"slots,":[54],"receives":[58],"first":[67],"slot,":[69],"and":[70,83,108,122,158,175],"it":[71],"then":[72],"forwards":[73],"received":[75],"different":[78],"based":[80,116],"on":[81,117],"amplify":[82],"forward":[84],"(AF)":[85],"protocol.":[86],"We":[87],"sum-power":[95],"minimization":[96],"problem":[97,135],"an":[99,176,194],"imperfect":[100],"channel":[101,188],"state":[102],"information":[103],"(CSI)":[104],"between":[105],"users.":[110],"This":[111],"scheme":[113],"developed":[115,180],"worst-case":[119,201],"optimization":[120,134,168,195],"framework":[121,169,196],"Nemirovski":[124,173],"Lemma":[125],"by":[126,170,181],"incorporating":[127],"uncertainties":[128],"CSI.":[131],"original":[133],"divided":[137],"into":[138,165],"three":[139],"subproblems":[140,162],"due":[141],"joint":[143],"nonconvexity":[144],"terms":[146],"vectors":[149],"at":[150],"station,":[153],"amplification":[156],"matrix,":[157],"receiver":[159],"coefficients.":[160],"These":[161],"are":[163,218],"formulated":[164],"convex":[167],"exploiting":[171],"Lemma,":[174],"iterative":[177],"algorithm":[178],"alternatively":[182],"optimizing":[183],"each":[184,207],"them":[186],"uncertainties.":[189],"addition,":[191],"provide":[193],"evaluate":[198],"achievable":[200],"(MSE)":[205],"user":[208],"given":[211],"set":[212],"design":[214],"parameters.":[215],"Simulation":[216],"results":[217],"provided":[219],"validate":[221],"convergence":[223],"proposed":[226],"algorithm.":[227]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
