{"id":"https://openalex.org/W1585639223","doi":"https://doi.org/10.1109/pimrc.2005.1651387","title":"Optimum Power Control for a Multi-User MIMO System with Beamforming","display_name":"Optimum Power Control for a Multi-User MIMO System with Beamforming","publication_year":2006,"publication_date":"2006-08-03","ids":{"openalex":"https://openalex.org/W1585639223","doi":"https://doi.org/10.1109/pimrc.2005.1651387","mag":"1585639223"},"language":"en","primary_location":{"id":"doi:10.1109/pimrc.2005.1651387","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2005.1651387","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications","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/A5102787645","display_name":"Batu K. Chalise","orcid":"https://orcid.org/0000-0002-7798-5202"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"B.K. Chalise","raw_affiliation_strings":["Department of Communication Systems, University of Duisburg-Essen, Duisburg, Germany","Dept. of Commun. Syst., Duisburg-Essen Univ., Duisburg"],"affiliations":[{"raw_affiliation_string":"Department of Communication Systems, University of Duisburg-Essen, Duisburg, Germany","institution_ids":["https://openalex.org/I62318514"]},{"raw_affiliation_string":"Dept. of Commun. Syst., Duisburg-Essen Univ., Duisburg","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105841681","display_name":"Andreas Czylwik","orcid":null},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Czylwik","raw_affiliation_strings":["Department of Communication Systems, University of Duisburg-Essen, Duisburg, Germany","Dept. of Commun. Syst., Duisburg-Essen Univ., Duisburg"],"affiliations":[{"raw_affiliation_string":"Department of Communication Systems, University of Duisburg-Essen, Duisburg, Germany","institution_ids":["https://openalex.org/I62318514"]},{"raw_affiliation_string":"Dept. of Commun. Syst., Duisburg-Essen Univ., Duisburg","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102787645"],"corresponding_institution_ids":["https://openalex.org/I62318514"],"apc_list":null,"apc_paid":null,"fwci":0.3761,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61852747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"1","last_page":"5"},"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":0.9986000061035156,"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":0.9970999956130981,"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/base-station","display_name":"Base station","score":0.8272795677185059},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7619573473930359},{"id":"https://openalex.org/keywords/power-control","display_name":"Power control","score":0.722520112991333},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.7151676416397095},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.6846297979354858},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6728277206420898},{"id":"https://openalex.org/keywords/mobile-station","display_name":"Mobile station","score":0.672433614730835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6038784384727478},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5272414088249207},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.4913758337497711},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48829150199890137},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4701516628265381},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.424194872379303},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3781239986419678},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3505214750766754},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.33156388998031616},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2847575545310974},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.24054613709449768},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22929814457893372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17788004875183105},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.15940171480178833},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14457553625106812},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12367242574691772},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.10624492168426514}],"concepts":[{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.8272795677185059},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7619573473930359},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.722520112991333},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.7151676416397095},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.6846297979354858},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6728277206420898},{"id":"https://openalex.org/C207029474","wikidata":"https://www.wikidata.org/wiki/Q384018","display_name":"Mobile station","level":3,"score":0.672433614730835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6038784384727478},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5272414088249207},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.4913758337497711},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48829150199890137},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4701516628265381},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.424194872379303},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3781239986419678},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3505214750766754},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.33156388998031616},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2847575545310974},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.24054613709449768},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22929814457893372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17788004875183105},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.15940171480178833},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14457553625106812},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12367242574691772},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.10624492168426514},{"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/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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pimrc.2005.1651387","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2005.1651387","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1974598214","https://openalex.org/W2120350343","https://openalex.org/W2130509920","https://openalex.org/W2131995128","https://openalex.org/W2133475491","https://openalex.org/W2136423702","https://openalex.org/W2151339633","https://openalex.org/W4250589301","https://openalex.org/W4362230038","https://openalex.org/W6851411824"],"related_works":["https://openalex.org/W2188391530","https://openalex.org/W2090840312","https://openalex.org/W4236087151","https://openalex.org/W2090979347","https://openalex.org/W4302353319","https://openalex.org/W2761543104","https://openalex.org/W2153521861","https://openalex.org/W1510659114","https://openalex.org/W2139868601","https://openalex.org/W4235212607"],"abstract_inverted_index":{"A":[0,23],"multi-user":[1],"Multiple":[2,4],"Input":[3],"Output":[5],"(MIMO)":[6],"system":[7,45],"with":[8],"beamforming":[9],"based":[10,79],"on":[11,80],"Maximum":[12],"Ratio":[13],"Transmission":[14],"(MRT)":[15],"is":[16,46,69,96,118,143],"analyzed":[17],"in":[18,88],"a":[19,36,44,59,100,136,157],"Rayleigh":[20],"fading":[21],"environment.":[22],"simple":[24],"closed":[25],"and":[26,145],"compact":[27],"form":[28],"approximate":[29],"expression":[30],"for":[31,39,99],"the":[32,40,52,67,81,89,92,105,112,121,128],"outage":[33,82,93,129],"probability":[34,83,94,130],"of":[35,42,66,84,131],"mobile":[37,53,86,106,133],"station":[38,87,123],"downlink":[41,90],"such":[43,156],"obtained":[47],"by":[48,58,111,126],"considering":[49],"that":[50,70],"all":[51,104,132],"stations":[54,107,134],"are":[55,108],"power":[56,73,109,125],"controlled":[57,110],"single":[60,113],"base":[61,114,122],"station.":[62,115],"An":[63],"interesting":[64],"observation":[65],"analysis":[68],"an":[71,149],"optimum":[72],"control":[74],"problem":[75,142],"can":[76],"be":[77],"formulated":[78],"each":[85],"because":[91],"computation":[95],"easily":[97],"simplified":[98],"cellular":[101],"environment":[102],"where":[103],"The":[116,140],"objective":[117],"to":[119,154],"minimize":[120],"transmission":[124],"keeping":[127],"below":[135],"specified":[137],"threshold":[138],"value.":[139],"optimization":[141,159],"non-convex":[144,158],"non-linear.":[146],"We":[147],"use":[148],"Evolutionary":[150],"Strategy":[151],"(EV)":[152],"[1]":[153],"solve":[155],"problem.":[160]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-02-25T21:11:00.739837","created_date":"2025-10-10T00:00:00"}