{"id":"https://openalex.org/W2006666682","doi":"https://doi.org/10.1109/tcomm.2015.2391104","title":"Transmit Beamforming for MISO Broadcast Channels With Statistical and Delayed CSIT","display_name":"Transmit Beamforming for MISO Broadcast Channels With Statistical and Delayed CSIT","publication_year":2015,"publication_date":"2015-01-12","ids":{"openalex":"https://openalex.org/W2006666682","doi":"https://doi.org/10.1109/tcomm.2015.2391104","mag":"2006666682"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2015.2391104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2015.2391104","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","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/A5027597097","display_name":"Mingbo Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mingbo Dai","raw_affiliation_strings":["Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070530952","display_name":"Bruno Clerckx","orcid":"https://orcid.org/0000-0001-5949-6459"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bruno Clerckx","raw_affiliation_strings":["Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.2504,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.88306308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"63","issue":"4","first_page":"1202","last_page":"1215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T10125","display_name":"Advanced Wireless Communication Techniques","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"}},{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.7796200513839722},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7509301900863647},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.6632177233695984},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.6465922594070435},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.5958703756332397},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5883896350860596},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.5813190937042236},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.5560874342918396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.501715898513794},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4627988040447235},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.43061378598213196},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.42439544200897217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38414883613586426},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35883739590644836},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.32639241218566895},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.2853260636329651},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.23573309183120728},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22798022627830505}],"concepts":[{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.7796200513839722},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7509301900863647},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.6632177233695984},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.6465922594070435},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.5958703756332397},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5883896350860596},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.5813190937042236},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.5560874342918396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.501715898513794},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4627988040447235},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.43061378598213196},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.42439544200897217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38414883613586426},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35883739590644836},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.32639241218566895},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.2853260636329651},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.23573309183120728},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22798022627830505},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcomm.2015.2391104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2015.2391104","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","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":41,"referenced_works":["https://openalex.org/W61918253","https://openalex.org/W198979891","https://openalex.org/W225487592","https://openalex.org/W604181985","https://openalex.org/W1654063178","https://openalex.org/W1694183347","https://openalex.org/W1968154520","https://openalex.org/W1968192955","https://openalex.org/W1988442902","https://openalex.org/W1991936941","https://openalex.org/W1999833500","https://openalex.org/W2053896644","https://openalex.org/W2072265605","https://openalex.org/W2085046959","https://openalex.org/W2090072317","https://openalex.org/W2095368393","https://openalex.org/W2102171442","https://openalex.org/W2104044096","https://openalex.org/W2108897727","https://openalex.org/W2109005286","https://openalex.org/W2112300062","https://openalex.org/W2112820013","https://openalex.org/W2116420503","https://openalex.org/W2121485091","https://openalex.org/W2124982134","https://openalex.org/W2136110459","https://openalex.org/W2145993461","https://openalex.org/W2148904388","https://openalex.org/W2149416133","https://openalex.org/W2163844889","https://openalex.org/W2165927302","https://openalex.org/W2168280267","https://openalex.org/W2556358157","https://openalex.org/W2610857016","https://openalex.org/W3100042858","https://openalex.org/W3105238962","https://openalex.org/W4229706427","https://openalex.org/W4299356270","https://openalex.org/W6648346586","https://openalex.org/W6674605816","https://openalex.org/W6684920999"],"related_works":["https://openalex.org/W1981158318","https://openalex.org/W4367186753","https://openalex.org/W4288092242","https://openalex.org/W2164754346","https://openalex.org/W2980744749","https://openalex.org/W2159682255","https://openalex.org/W4378551200","https://openalex.org/W2610069809","https://openalex.org/W4206704743","https://openalex.org/W2108325790"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,56,66,71],"linear":[4],"beamforming":[5,58],"design":[6,60],"and":[7,23,47,74,123,132,181],"power":[8,107,111,140,151],"allocation":[9,141,152],"strategy":[10],"for":[11,125,138],"ergodic":[12,68,103,156],"rate":[13],"optimization":[14,142],"in":[15],"a":[16,33,63,174],"two-user":[17],"Multiple-Input-Single-Output":[18],"(MISO)":[19],"system":[20],"with":[21,50,105],"statistical":[22,51,57,73],"delayed":[24,48,75],"channel":[25,45],"state":[26],"information":[27],"at":[28],"the":[29,67,84,102,113,139,146,169],"transmitter":[30],"(CSIT).We":[31],"propose":[32],"transmission":[34],"strategy,":[35],"denoted":[36],"as":[37],"Statistical":[38],"Alternative":[39,88],"MAT":[40,89],"(SAMAT),":[41],"which":[42,97],"exploits":[43],"both":[44,72,179],"statistics":[46],"CSIT.Firstly,":[49],"CSIT":[52],"only,":[53],"we":[54],"focus":[55],"(SBF)":[59],"that":[61,168],"maximizes":[62,98],"lower":[64],"bound":[65],"sum-rate.Secondly,":[69],"relying":[70],"CSIT,":[76],"an":[77,99,126,155],"iterative":[78],"algorithm":[79],"is":[80,116,143,159],"proposed":[81,92,117,170],"to":[82,118,153],"compute":[83],"precoding":[85],"vectors":[86],"of":[87,101,129],"(AMAT),":[90],"originally":[91],"by":[93],"Yang":[94],"et":[95],"al.,":[96],"approximation":[100,158],"sum-rate":[104,157,176],"equal":[106],"allocation.Finally,":[108],"via":[109],"proper":[110],"allocation,":[112],"SAMAT":[114,171],"framework":[115],"softly":[119],"bridge":[120],"between":[121],"SBF":[122,180],"AMAT":[124],"arbitrary":[127],"number":[128],"transmit":[130],"antennas":[131],"signal-to-noise":[133],"ratio":[134],"(SNR).A":[135],"necessary":[136],"condition":[137],"identified":[144],"from":[145],"Karush-Kuhn-Tucker":[147],"(KKT)":[148],"conditions.The":[149],"optimum":[150],"maximize":[154],"computed":[160],"using":[161],"Sequential":[162],"Quadratic":[163],"Programming":[164],"(SQP).Simulation":[165],"results":[166],"show":[167],"scheme":[172],"yields":[173],"significant":[175],"enhancement":[177],"over":[178],"AMAT.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
