{"id":"https://openalex.org/W2115908423","doi":"https://doi.org/10.1109/wsa.2008.4475569","title":"Per-antenna power constrained rate optimization for multiuser MIMO systems","display_name":"Per-antenna power constrained rate optimization for multiuser MIMO systems","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W2115908423","doi":"https://doi.org/10.1109/wsa.2008.4475569","mag":"2115908423"},"language":"en","primary_location":{"id":"doi:10.1109/wsa.2008.4475569","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsa.2008.4475569","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International ITG Workshop on Smart Antennas","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/A5102135603","display_name":"Shuying Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Shuying Shi","raw_affiliation_strings":["Mobile Communications, Technical University of Berlin, Einsteinufer 25, 10587 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mobile Communications, Technical University of Berlin, Einsteinufer 25, 10587 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038859625","display_name":"Martin Schubert","orcid":"https://orcid.org/0000-0003-4495-6533"},"institutions":[{"id":"https://openalex.org/I4923324","display_name":"Fraunhofer-Gesellschaft","ror":"https://ror.org/05hkkdn48","country_code":"DE","type":"government","lineage":["https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Schubert","raw_affiliation_strings":["Fraunhofer German-Sino Lab for Mobile Communications MCI, Germany","Fraunhofer German-Sino Laboratory for Mobile Communications (MCI), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fraunhofer German-Sino Lab for Mobile Communications MCI, Germany","institution_ids":[]},{"raw_affiliation_string":"Fraunhofer German-Sino Laboratory for Mobile Communications (MCI), Germany","institution_ids":["https://openalex.org/I4923324"]}]},{"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"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Holger Boche","raw_affiliation_strings":["Mobile Communications, Technical University of Berlin, Einsteinufer 25, 10587 Berlin, Germany","Fraunhofer Institute for Telecommunications, Heinrich-Hertz-Institut, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mobile Communications, Technical University of Berlin, Einsteinufer 25, 10587 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Fraunhofer Institute for Telecommunications, Heinrich-Hertz-Institut, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"270","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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":1.0,"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":0.9998999834060669,"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/T11409","display_name":"Advanced Wireless Network 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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7248965501785278},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6361632943153381},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5841314792633057},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5545821189880371},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5541208386421204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5404115915298462},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.47565290331840515},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.46529754996299744},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.45681700110435486},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4517034590244293},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4425645172595978},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4172063171863556},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4150159955024719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3395007848739624},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15019500255584717},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.13537967205047607},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.08703115582466125}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7248965501785278},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6361632943153381},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5841314792633057},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5545821189880371},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5541208386421204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5404115915298462},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.47565290331840515},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.46529754996299744},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.45681700110435486},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4517034590244293},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4425645172595978},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4172063171863556},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4150159955024719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3395007848739624},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15019500255584717},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.13537967205047607},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.08703115582466125},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/wsa.2008.4475569","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsa.2008.4475569","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International ITG Workshop on Smart Antennas","raw_type":"proceedings-article"},{"id":"pmh:oai:fraunhofer.de:N-95492","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-95492.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/360123","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/360123","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1632601927","https://openalex.org/W1971127223","https://openalex.org/W1985682733","https://openalex.org/W1997988602","https://openalex.org/W2032834460","https://openalex.org/W2072228515","https://openalex.org/W2101727634","https://openalex.org/W2105235982","https://openalex.org/W2112820013","https://openalex.org/W2119787584","https://openalex.org/W2134233838","https://openalex.org/W2153339777","https://openalex.org/W2171048418","https://openalex.org/W2296319761","https://openalex.org/W4250589301","https://openalex.org/W4297970685"],"related_works":["https://openalex.org/W4389849086","https://openalex.org/W4281957576","https://openalex.org/W2005013113","https://openalex.org/W2164621095","https://openalex.org/W1545461878","https://openalex.org/W2952133296","https://openalex.org/W3130449832","https://openalex.org/W3120050151","https://openalex.org/W2096962213","https://openalex.org/W4254682493"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,42,53,64,69,81,137,141,147,156,159],"problem":[4,84,91,105],"of":[5,29,68,95,140,155,164],"linear":[6],"transceiver":[7],"design":[8,36],"for":[9,31,85],"rate":[10,45,56],"optimization":[11,87,120],"in":[12],"multiuser":[13],"Gaussian":[14],"Multi-Input-Multi-Output":[15],"(MIMO)":[16],"systems.":[17],"We":[18],"focus":[19],"on":[20],"a":[21,32,90,118],"scenario":[22],"with":[23,161],"per-antenna":[24,48,59],"power":[25,49,60,82,165],"constraint,":[26],"which":[27,97],"is":[28,98],"importance":[30],"realistic":[33],"implementation.":[34],"Two":[35],"criteria":[37],"are":[38,111],"considered:":[39],"1)":[40],"maximizing":[41,52],"weighted":[43],"sum":[44],"subject":[46,57],"to":[47,58,74,89,152],"constraints;":[50],"2)":[51],"minimum":[54],"user":[55],"constraints.":[61,166],"Non-convexity":[62],"and":[63,125,135,158],"complicated":[65],"mathematical":[66],"structure":[67],"problems":[70,108,157,160],"make":[71],"it":[72],"difficult":[73],"derive":[75,132],"efficient,":[76],"globally":[77],"optimal":[78],"algorithms.":[79,142],"Even":[80],"allocation":[83],"sum-rate":[86],"leads":[88],"formulation":[92],"involving":[93],"ratios":[94],"posynomials,":[96],"generally":[99],"an":[100],"intrinsically":[101],"intractable,":[102],"NP":[103],"hard":[104],"[1].":[106],"The":[107],"studied":[109],"here":[110],"even":[112],"more":[113],"complicated,":[114],"since":[115],"we":[116,131,144],"consider":[117],"joint":[119],"over":[121],"powers,":[122],"transmit":[123],"filters":[124],"receive":[126],"filters.":[127],"For":[128],"these":[129],"problems,":[130],"iterative":[133],"algorithms":[134],"prove":[136],"monotonic":[138],"convergence":[139],"Additionally,":[143],"show":[145],"that":[146],"results":[148],"can":[149],"be":[150],"extended":[151],"other":[153,162],"variations":[154],"kinds":[163]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":7}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}