{"id":"https://openalex.org/W1985427746","doi":"https://doi.org/10.1109/milcom.2011.6127719","title":"Downlink energy-efficient multiuser beamforming with individual SINR constraints","display_name":"Downlink energy-efficient multiuser beamforming with individual SINR constraints","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W1985427746","doi":"https://doi.org/10.1109/milcom.2011.6127719","mag":"1985427746"},"language":"en","primary_location":{"id":"doi:10.1109/milcom.2011.6127719","is_oa":false,"landing_page_url":"https://doi.org/10.1109/milcom.2011.6127719","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 - MILCOM 2011 Military Communications Conference","raw_type":"proceedings-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/A5047386892","display_name":"Chenzi Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chenzi Jiang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Delaware, DE, USA","Dept. of Electrical and Computer Engineering, University of Delaware, 19716, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Delaware, DE, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, University of Delaware, 19716, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022346187","display_name":"Leonard J. Cimini","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leonard J. Cimini","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Delaware, DE, USA","Dept. of Electrical and Computer Engineering, University of Delaware, 19716, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Delaware, DE, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, University of Delaware, 19716, USA","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047386892"],"corresponding_institution_ids":["https://openalex.org/I86501945"],"apc_list":null,"apc_paid":null,"fwci":2.1196,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.8762001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":null,"first_page":"495","last_page":"500"},"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/T10069","display_name":"Antenna Design and Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.9987999796867371,"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":0.944282054901123},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7131921052932739},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.6915799379348755},{"id":"https://openalex.org/keywords/wsdma","display_name":"WSDMA","score":0.6834427714347839},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.682766854763031},{"id":"https://openalex.org/keywords/signal-to-interference-plus-noise-ratio","display_name":"Signal-to-interference-plus-noise ratio","score":0.618690013885498},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45763352513313293},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.43414241075515747},{"id":"https://openalex.org/keywords/efficient-energy-use","display_name":"Efficient energy use","score":0.43079009652137756},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4289490282535553},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.42468297481536865},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.41563063859939575},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.39858657121658325},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.30959153175354004},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.296888530254364},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.21059677004814148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18831521272659302},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.1519455909729004},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13568037748336792},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.12200585007667542},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.10982218384742737}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.944282054901123},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7131921052932739},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.6915799379348755},{"id":"https://openalex.org/C57466844","wikidata":"https://www.wikidata.org/wiki/Q7955559","display_name":"WSDMA","level":5,"score":0.6834427714347839},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.682766854763031},{"id":"https://openalex.org/C98824394","wikidata":"https://www.wikidata.org/wiki/Q4035626","display_name":"Signal-to-interference-plus-noise ratio","level":3,"score":0.618690013885498},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45763352513313293},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.43414241075515747},{"id":"https://openalex.org/C2742236","wikidata":"https://www.wikidata.org/wiki/Q924713","display_name":"Efficient energy use","level":2,"score":0.43079009652137756},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4289490282535553},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.42468297481536865},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.41563063859939575},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.39858657121658325},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.30959153175354004},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.296888530254364},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.21059677004814148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18831521272659302},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.1519455909729004},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13568037748336792},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.12200585007667542},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.10982218384742737},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/milcom.2011.6127719","is_oa":false,"landing_page_url":"https://doi.org/10.1109/milcom.2011.6127719","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 - MILCOM 2011 Military Communications Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.9100000262260437}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W312813459","https://openalex.org/W1554956999","https://openalex.org/W1559749676","https://openalex.org/W1590012787","https://openalex.org/W1979408141","https://openalex.org/W2045311350","https://openalex.org/W2072231838","https://openalex.org/W2096041703","https://openalex.org/W2114856624","https://openalex.org/W2117014495","https://openalex.org/W2119952207","https://openalex.org/W2128811149","https://openalex.org/W2145977952","https://openalex.org/W2147437672","https://openalex.org/W2152481521","https://openalex.org/W2161473225","https://openalex.org/W2164613767","https://openalex.org/W2296319761","https://openalex.org/W2317002898","https://openalex.org/W2951378836","https://openalex.org/W4231670616","https://openalex.org/W4234030535","https://openalex.org/W4250589301","https://openalex.org/W4299687603","https://openalex.org/W6610930706"],"related_works":["https://openalex.org/W1880939738","https://openalex.org/W3178786436","https://openalex.org/W2787827467","https://openalex.org/W2110219864","https://openalex.org/W2738062192","https://openalex.org/W1517150187","https://openalex.org/W2528414118","https://openalex.org/W1984158264","https://openalex.org/W2097201307","https://openalex.org/W2338598869"],"abstract_inverted_index":{"Transmit":[0],"beamforming":[1,88,106,114,135,158,172,177],"in":[2],"multiuser":[3,104,171],"wireless":[4],"systems":[5],"is":[6,33,108,138,160],"typically":[7],"designed":[8],"to":[9,15,55,90],"minimize":[10],"the":[11,22,38,43,68,76,87,112,117,133,142,165,168],"transmit":[12,27,31],"power":[13,28,32,40,128,152],"subject":[14],"signal-to-interference-plus-noise":[16],"ratio":[17],"(SINR)":[18],"constraints,":[19],"or":[20],"maximize":[21,91],"SINR":[23,96],"with":[24,94,132],"a":[25],"total":[26,39],"constraint.":[29],"However,":[30],"only":[34],"one":[35],"part":[36],"of":[37,78,127,167],"consumption":[41],"during":[42],"transmission.":[44],"Circuit":[45],"power,":[46],"incurred":[47],"by":[48],"devices":[49],"and":[50,116],"signal":[51],"processing,":[52],"also":[53,139],"needs":[54],"be":[56,73,147],"taken":[57],"into":[58],"account.":[59],"In":[60],"this":[61,151],"paper,":[62],"we":[63],"consider":[64],"energy":[65,83,92],"efficiency":[66,93],"as":[67,75],"objective":[69],"function,":[70],"which":[71,110],"can":[72,146],"defined":[74],"number":[77],"information":[79],"bits":[80],"per":[81],"unit":[82],"usage.":[84],"We":[85],"design":[86],"vectors":[89,115,136],"individual":[95],"constraints":[97],"for":[98,121],"each":[99,122],"user.":[100,123],"A":[101,124],"zero-gradient-based":[102],"energy-efficient":[103,170],"downlink":[105,176],"algorithm":[107,159],"developed":[109],"optimizes":[111],"normalized":[113,134],"transmitted":[118],"powers":[119],"jointly":[120],"simpler":[125],"method":[126],"allocation":[129,153],"among":[130,144],"users,":[131],"given,":[137],"described":[140],"when":[141],"interference":[143],"users":[145],"eliminated.":[148],"Based":[149],"on":[150],"approach,":[154],"an":[155],"additional":[156],"iterative":[157],"presented.":[161],"Simulation":[162],"results":[163],"show":[164],"advantages":[166],"proposed":[169],"algorithms":[173],"over":[174],"traditional":[175],"schemes.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
