{"id":"https://openalex.org/W2115923417","doi":"https://doi.org/10.1109/icc.2009.5199574","title":"Weighted Sum-Rate Maximization Using Weighted MMSE for MIMO-BC Beamforming Design","display_name":"Weighted Sum-Rate Maximization Using Weighted MMSE for MIMO-BC Beamforming Design","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2115923417","doi":"https://doi.org/10.1109/icc.2009.5199574","mag":"2115923417"},"language":"en","primary_location":{"id":"doi:10.1109/icc.2009.5199574","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc.2009.5199574","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Communications","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/files/19176960/ICC2009.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075776299","display_name":"S\u00f8ren Skovgaard Christensen","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. S. Christensen","raw_affiliation_strings":["Modem Algorithm Design, Nokia Danmark A/S, Copenhagen, Denmark","Modem Algorithm Design, Nokia Denmark, Copenhagen, Denmark"],"affiliations":[{"raw_affiliation_string":"Modem Algorithm Design, Nokia Danmark A/S, Copenhagen, Denmark","institution_ids":[]},{"raw_affiliation_string":"Modem Algorithm Design, Nokia Denmark, Copenhagen, Denmark","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068266393","display_name":"Renu Agarwal","orcid":"https://orcid.org/0000-0002-8493-7313"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Agarwal","raw_affiliation_strings":["Packard Electrical Engineering, University of Stanford, Stanford, CA, USA","[Packard Electrical Engineering, University of Stanford, Stanford, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Packard Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":[]},{"raw_affiliation_string":"[Packard Electrical Engineering, University of Stanford, Stanford, CA, USA]","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082234054","display_name":"Elisabeth de Carvalho","orcid":"https://orcid.org/0000-0002-5478-5531"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"E. de Carvalho","raw_affiliation_strings":["Department of Electronic Systems, University of Aalborg, Aalborg, Denmark","Department of Electronic Systems, University of Aalborg, Aalborg, Denmark#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Systems, University of Aalborg, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"Department of Electronic Systems, University of Aalborg, Aalborg, Denmark#TAB#","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023806580","display_name":"J.M. Cioffi","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. M. Cioffi","raw_affiliation_strings":["Packard Electrical Engineering, University of Stanford, Stanford, CA, USA","[Packard Electrical Engineering, University of Stanford, Stanford, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Packard Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":[]},{"raw_affiliation_string":"[Packard Electrical Engineering, University of Stanford, Stanford, CA, USA]","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5075776299"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3503,"has_fulltext":true,"cited_by_count":90,"citation_normalized_percentile":{"value":0.92391704,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9993000030517578,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9977999925613403,"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/maximization","display_name":"Maximization","score":0.7849657535552979},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7483918070793152},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.6882779598236084},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.6283996105194092},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5140601396560669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49549829959869385},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.4894033968448639},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48831745982170105},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46371057629585266},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4536052644252777},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.44686031341552734},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23788565397262573},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13859698176383972}],"concepts":[{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.7849657535552979},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7483918070793152},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.6882779598236084},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.6283996105194092},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5140601396560669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49549829959869385},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.4894033968448639},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48831745982170105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46371057629585266},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4536052644252777},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.44686031341552734},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23788565397262573},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13859698176383972},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/icc.2009.5199574","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc.2009.5199574","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Communications","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/c29dd0e0-067f-11df-9142-000ea68e967b","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/c29dd0e0-067f-11df-9142-000ea68e967b","pdf_url":"https://vbn.aau.dk/files/19176960/ICC2009.pdf","source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Christensen , S , De Carvalho , E , Agarwal , R & Cioffi , J M 2009 , Weighted Sum-Rate Maximization Using Weighted MMSE for MIMO-BC Beamforming Design . in IEEE International Conference on Communications, 2009. ICC '09 . IEEE , IEEE International Conference on Communications , Dresden , Germany , 14/06/2009 . https://doi.org/10.1109/ICC.2009.5199574","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.217.4812","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.217.4812","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.stanford.edu/~rajivag/tw-aug-07-0851.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.217.5914","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.217.5914","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.stanford.edu/~rajivag/icc2009_cameraready.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:publications/4dd42160-0284-11de-82e6-000ea68e967b","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/4dd42160-0284-11de-82e6-000ea68e967b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Christensen , S S , Agarwal , R , De Carvalho , E & Cioffi , J M 2008 , ' Weighted Sum-Rate Maximization using Weighted MMSE for MIMO-BC Beamforming Design ' , IEEE Transactions on Wireless Communications , vol. 7 , no. 12 , pp. 4792-4799 . https://doi.org/10.1109/T-WC.2008.070851","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/c29dd0e0-067f-11df-9142-000ea68e967b","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/c29dd0e0-067f-11df-9142-000ea68e967b","pdf_url":"https://vbn.aau.dk/files/19176960/ICC2009.pdf","source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Christensen , S , De Carvalho , E , Agarwal , R & Cioffi , J M 2009 , Weighted Sum-Rate Maximization Using Weighted MMSE for MIMO-BC Beamforming Design . in IEEE International Conference on Communications, 2009. ICC '09 . IEEE , IEEE International Conference on Communications , Dresden , Germany , 14/06/2009 . https://doi.org/10.1109/ICC.2009.5199574","raw_type":"contributionToPeriodical"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2115923417.pdf","grobid_xml":"https://content.openalex.org/works/W2115923417.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1974891392","https://openalex.org/W2030546921","https://openalex.org/W2099003693","https://openalex.org/W2099111195","https://openalex.org/W2101727634","https://openalex.org/W2109005286","https://openalex.org/W2111616148","https://openalex.org/W2119787584","https://openalex.org/W2130509920","https://openalex.org/W2132201981","https://openalex.org/W2143664144","https://openalex.org/W2143927285","https://openalex.org/W2145403270","https://openalex.org/W2147183767","https://openalex.org/W2151890921","https://openalex.org/W2163278024","https://openalex.org/W2167455364","https://openalex.org/W2171879683"],"related_works":["https://openalex.org/W2785601041","https://openalex.org/W2241417046","https://openalex.org/W2908598672","https://openalex.org/W2597403208","https://openalex.org/W2075897667","https://openalex.org/W4307206503","https://openalex.org/W2393900892","https://openalex.org/W4306760398","https://openalex.org/W2907746047","https://openalex.org/W3125536267"],"abstract_inverted_index":{"This":[0],"paper":[1,56],"studies":[2],"linear":[3],"transmit":[4,27],"filter":[5,28],"design":[6],"for":[7,79],"weighted":[8,61,64,83],"sum-rate":[9,62,84,93],"(WSR)":[10],"maximization":[11],"in":[12,66],"the":[13,25,44,67,96],"multiple":[14,16],"input":[15],"output":[17],"broadcast":[18],"channel":[19],"(MIMO-BC).":[20],"The":[21,69],"problem":[22],"of":[23],"finding":[24,80],"optimal":[26],"is":[29,71],"non-convex":[30],"and":[31,49,63],"intractable":[32],"to":[33,73],"solve":[34],"using":[35],"low":[36,76],"complexity":[37,77],"methods.":[38],"Motivated":[39],"by":[40],"recent":[41],"results":[42,91],"highlighting":[43],"relationship":[45,59,70],"between":[46,60],"mutual":[47],"information":[48],"Minimum":[50],"Mean":[51],"Square":[52],"Error":[53],"(MMSE),":[54],"this":[55],"establishes":[57],"a":[58,75,81],"MMSE":[65],"MIMO-BC.":[68],"used":[72],"propose":[74],"algorithm":[78,98],"local":[82],"optimum":[85],"based":[86],"on":[87],"alternating":[88],"optimization.":[89],"Numerical":[90],"studying":[92],"show":[94],"that":[95],"proposed":[97],"achieves":[99],"high":[100],"performance":[101],"with":[102],"few":[103],"iterations.":[104]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}