{"id":"https://openalex.org/W1956086675","doi":"https://doi.org/10.1109/vtc.2002.1002955","title":"An efficient algorithm for optimum joint downlink beamforming and power control","display_name":"An efficient algorithm for optimum joint downlink beamforming and power control","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W1956086675","doi":"https://doi.org/10.1109/vtc.2002.1002955","mag":"1956086675"},"language":"en","primary_location":{"id":"doi:10.1109/vtc.2002.1002955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtc.2002.1002955","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vehicular Technology Conference. IEEE 55th Vehicular Technology Conference. VTC Spring 2002 (Cat. No.02CH37367)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5038859625","display_name":"Martin Schubert","orcid":"https://orcid.org/0000-0003-4495-6533"},"institutions":[{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Schubert","raw_affiliation_strings":["Heinrich-Hertz-Institut f\u00fcr Nachrichtentechnik Berlin GmbH, Berlin, Germany","Heinrich-Hertz Inst. fur Nachrichtentechnik Berlin GmbH, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heinrich-Hertz-Institut f\u00fcr Nachrichtentechnik Berlin GmbH, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]},{"raw_affiliation_string":"Heinrich-Hertz Inst. fur Nachrichtentechnik Berlin GmbH, Germany","institution_ids":["https://openalex.org/I2800274787"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000732219","display_name":"Holger Boche","orcid":"https://orcid.org/0000-0002-8375-8946"},"institutions":[{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. Boche","raw_affiliation_strings":["Heinrich-Hertz-Institut f\u00fcr Nachrichtentechnik Berlin GmbH, Berlin, Germany","Heinrich-Hertz Inst. fur Nachrichtentechnik Berlin GmbH, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heinrich-Hertz-Institut f\u00fcr Nachrichtentechnik Berlin GmbH, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]},{"raw_affiliation_string":"Heinrich-Hertz Inst. fur Nachrichtentechnik Berlin GmbH, Germany","institution_ids":["https://openalex.org/I2800274787"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2800274787"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"1911","last_page":"1915"},"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9987000226974487,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9984999895095825,"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/beamforming","display_name":"Beamforming","score":0.7624911069869995},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.7402598261833191},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6857089996337891},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.529167890548706},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5243504047393799},{"id":"https://openalex.org/keywords/power-control","display_name":"Power control","score":0.52034991979599},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.49988389015197754},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.49686649441719055},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.41402724385261536},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3625684380531311},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2483297884464264},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21641668677330017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19012123346328735},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.182376891374588}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7624911069869995},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.7402598261833191},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6857089996337891},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.529167890548706},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5243504047393799},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.52034991979599},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.49988389015197754},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.49686649441719055},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.41402724385261536},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3625684380531311},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2483297884464264},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21641668677330017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19012123346328735},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.182376891374588},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/vtc.2002.1002955","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vtc.2002.1002955","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vehicular Technology Conference. IEEE 55th Vehicular Technology Conference. VTC Spring 2002 (Cat. No.02CH37367)","raw_type":"proceedings-article"},{"id":"pmh:oai:fraunhofer.de:N-12810","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-12810.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer HHI","raw_type":"Conference Paper"},{"id":"pmh:oai:publica.fraunhofer.de:publica/340937","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/340937","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"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":"conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W312813459","https://openalex.org/W398440019","https://openalex.org/W1908191395","https://openalex.org/W1919846929","https://openalex.org/W1925950976","https://openalex.org/W1976109068","https://openalex.org/W1987121978","https://openalex.org/W2039011481","https://openalex.org/W2054099482","https://openalex.org/W2065580910","https://openalex.org/W2117329581","https://openalex.org/W2119584244","https://openalex.org/W2121233130","https://openalex.org/W2121520527","https://openalex.org/W2124250240","https://openalex.org/W2130366977","https://openalex.org/W2130386489","https://openalex.org/W2141290761","https://openalex.org/W2151795416","https://openalex.org/W2165387948","https://openalex.org/W3143910981","https://openalex.org/W6610930706","https://openalex.org/W6613785475","https://openalex.org/W6663919977","https://openalex.org/W6677571986","https://openalex.org/W6679579585","https://openalex.org/W6680734302","https://openalex.org/W6682030554","https://openalex.org/W6684123528"],"related_works":["https://openalex.org/W2724724053","https://openalex.org/W2395708164","https://openalex.org/W2115199292","https://openalex.org/W2391952834","https://openalex.org/W2188391530","https://openalex.org/W1601261305","https://openalex.org/W1984551944","https://openalex.org/W1763182976","https://openalex.org/W2166436816","https://openalex.org/W1510659114"],"abstract_inverted_index":{"We":[0],"address":[1],"the":[2,28,47,55,73,95,129,133,140,149,161,204],"problem":[3,74],"of":[4,44,86,132,139,151,163,203],"joint":[5],"downlink":[6],"beamforming":[7,168],"and":[8,126,144,180,189],"power":[9,34],"control":[10],"in":[11,52,91,148],"a":[12,21,32,41,62,117,155,200],"frequency":[13],"flat":[14],"multi-antenna":[15],"broadcast":[16],"channel.":[17],"In":[18],"this":[19],"context,":[20],"common":[22],"optimization":[23],"strategy":[24,100],"is":[25,50,75,111,142,158],"to":[26,93,199],"maximize":[27],"system":[29],"throughput":[30,45],"under":[31],"certain":[33],"constraint.":[35],"This,":[36],"however,":[37],"does":[38],"not":[39],"guarantee":[40],"fair":[42],"sharing":[43],"among":[46],"users,":[48],"which":[49,65],"required":[51],"case":[53,162],"that":[54],"receivers":[56],"cannot":[57],"cooperate.":[58],"Thus,":[59],"we":[60],"propose":[61],"different":[63],"approach,":[64],"always":[66],"assumes":[67],"optimally":[68],"balanced":[69],"data":[70],"rates.":[71],"If":[72],"feasible,":[76],"i.e.,":[77],"desired":[78],"target":[79],"rates":[80],"can":[81,88,101,169],"be":[82,89,103,170],"reached,":[83],"spare":[84],"degrees":[85],"freedom":[87],"used":[90],"order":[92],"minimize":[94],"total":[96],"transmission":[97],"power.":[98],"This":[99,197],"even":[102],"applied":[104],"if":[105],"only":[106],"spatial":[107],"covariance":[108],"channel":[109,165],"information":[110],"available.":[112],"The":[113],"authors":[114],"have":[115],"developed":[116],"theoretical":[118,156],"framework":[119],"based":[120],"upon":[121],"uplink/downlink":[122],"duality,":[123],"feasibility":[124],"considerations,":[125],"bounds":[127],"on":[128,186],"maximal":[130],"eigenvalue":[131],"resulting":[134],"coupling":[135],"matrix.":[136],"An":[137],"overview":[138],"results":[141],"given":[143],"they":[145],"are":[146],"discussed":[147],"context":[150],"existing":[152],"literature.":[153],"Finally,":[154],"benchmark":[157],"provided":[159],"for":[160],"perfect":[164],"knowledge.":[166],"Then,":[167],"combined":[171],"with":[172],"Costa":[173],"(1983)":[174],"pre-coding,":[175],"as":[176],"proposed":[177],"by":[178],"Caire":[179],"Shamai":[181],"(see":[182],"36th":[183],"Asilomar":[184,191],"Conf.":[185],"Signals,":[187],"Systems":[188],"Computers":[190],"Pacific":[192],"Grove,":[193],"CA,":[194],"Nov.":[195],"2001).":[196],"leads":[198],"closed-form":[201],"solution":[202],"problem.":[205]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}