{"id":"https://openalex.org/W2018348074","doi":"https://doi.org/10.1109/tit.2015.2421446","title":"Coordinated Multicell Beamforming for Massive MIMO: A Random Matrix Approach","display_name":"Coordinated Multicell Beamforming for Massive MIMO: A Random Matrix Approach","publication_year":2015,"publication_date":"2015-04-10","ids":{"openalex":"https://openalex.org/W2018348074","doi":"https://doi.org/10.1109/tit.2015.2421446","mag":"2018348074"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2421446","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2421446","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01237227","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073467476","display_name":"Subhash Lakshminarayana","orcid":"https://orcid.org/0000-0002-6349-9780"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Subhash Lakshminarayana","raw_affiliation_strings":["Singapore University of Technology and Design, Singapore","SUTD - Singapore University of Technology and Design (Singapore)"],"affiliations":[{"raw_affiliation_string":"Singapore University of Technology and Design, Singapore","institution_ids":["https://openalex.org/I152815399"]},{"raw_affiliation_string":"SUTD - Singapore University of Technology and Design (Singapore)","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002000523","display_name":"Mohamad Assaad","orcid":"https://orcid.org/0000-0003-3909-6241"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamad Assaad","raw_affiliation_strings":["Laboratoire des Signaux et Systemes, Centrale-Sup\u00e9lec, Gif-sur Yvette, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Systemes, Centrale-Sup\u00e9lec, Gif-sur Yvette, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056145687","display_name":"M\u00e9rouane Debbah","orcid":"https://orcid.org/0000-0001-8941-8080"},"institutions":[{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I4210123571","display_name":"Huawei Technologies (France)","ror":"https://ror.org/02rbzf697","country_code":"FR","type":"company","lineage":["https://openalex.org/I2250955327","https://openalex.org/I4210123571"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Meohamad Debbah","raw_affiliation_strings":["Centrale-Sup\u00e9lec, Gif-sur Yvette, France","Huawei Mathematical and Algorithmic Sciences Laboratory, Huawei France Research and Development, Paris, France","LANEAS - Large Networks and Systems Group (CentraleSup\u00e9lec\r\nPlateau du Moulon\r\n3 rue Joliot-Curie\r\n91192 Gif-sur-Yvette cedex\r\n - France)","Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Sup\u00e9lec (Plateau du Moulon 3, rue Joliot-Curie 91192 Gif-sur-Yvette Cedex - France)"],"affiliations":[{"raw_affiliation_string":"Centrale-Sup\u00e9lec, Gif-sur Yvette, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I4210107720"]},{"raw_affiliation_string":"Huawei Mathematical and Algorithmic Sciences Laboratory, Huawei France Research and Development, Paris, France","institution_ids":["https://openalex.org/I4210123571"]},{"raw_affiliation_string":"LANEAS - Large Networks and Systems Group (CentraleSup\u00e9lec\r\nPlateau du Moulon\r\n3 rue Joliot-Curie\r\n91192 Gif-sur-Yvette cedex\r\n - France)","institution_ids":["https://openalex.org/I4210107720"]},{"raw_affiliation_string":"Chaire Radio Flexible - Chaire Radio Flexible Alcatel-Lucent/Sup\u00e9lec (Plateau du Moulon 3, rue Joliot-Curie 91192 Gif-sur-Yvette Cedex - France)","institution_ids":["https://openalex.org/I102475099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073467476"],"corresponding_institution_ids":["https://openalex.org/I152815399"],"apc_list":null,"apc_paid":null,"fwci":9.0052,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.98163411,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"61","issue":"6","first_page":"3387","last_page":"3412"},"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":0.9997000098228455,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9980999827384949,"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/beamforming","display_name":"Beamforming","score":0.7912400960922241},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6869089007377625},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.552777111530304},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.49036407470703125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4808836281299591},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.47252967953681946},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.46322157979011536},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.440171480178833},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.381268173456192},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35730886459350586},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3420558273792267},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3321587145328522},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.20054194331169128},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15955320000648499},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14569911360740662}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7912400960922241},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6869089007377625},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.552777111530304},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.49036407470703125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4808836281299591},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.47252967953681946},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.46322157979011536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.440171480178833},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.381268173456192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35730886459350586},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3420558273792267},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3321587145328522},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.20054194331169128},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15955320000648499},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14569911360740662}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2015.2421446","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2421446","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:113234","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:HAL:hal-01237227v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01237227","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"IEEE Transactions on Information Theory, 2015, 61 (6), pp.3387-3412. &#x27E8;10.1109/TIT.2015.2421446&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01237227v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01237227","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"IEEE Transactions on Information Theory, 2015, 61 (6), pp.3387-3412. &#x27E8;10.1109/TIT.2015.2421446&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W250076511","https://openalex.org/W1590480603","https://openalex.org/W1918182261","https://openalex.org/W1965392255","https://openalex.org/W1967492869","https://openalex.org/W1971443733","https://openalex.org/W1971523416","https://openalex.org/W1974552031","https://openalex.org/W1977207404","https://openalex.org/W1987998902","https://openalex.org/W2013546591","https://openalex.org/W2015301486","https://openalex.org/W2027266580","https://openalex.org/W2039953809","https://openalex.org/W2056099894","https://openalex.org/W2056908709","https://openalex.org/W2084304524","https://openalex.org/W2086323639","https://openalex.org/W2090195299","https://openalex.org/W2092734317","https://openalex.org/W2097380044","https://openalex.org/W2106630001","https://openalex.org/W2109005286","https://openalex.org/W2113250264","https://openalex.org/W2121085736","https://openalex.org/W2121315337","https://openalex.org/W2131350052","https://openalex.org/W2141682101","https://openalex.org/W2147601077","https://openalex.org/W2153502859","https://openalex.org/W2163676306","https://openalex.org/W2164271287","https://openalex.org/W2168708240","https://openalex.org/W2296319761","https://openalex.org/W2588081979","https://openalex.org/W3098980465","https://openalex.org/W3099509308","https://openalex.org/W3103692684","https://openalex.org/W3103793889","https://openalex.org/W3104532765","https://openalex.org/W4250589301","https://openalex.org/W4299343067","https://openalex.org/W6664347460"],"related_works":["https://openalex.org/W4365807906","https://openalex.org/W2157864637","https://openalex.org/W4223416141","https://openalex.org/W2546639359","https://openalex.org/W2059045613","https://openalex.org/W2724724053","https://openalex.org/W1922070205","https://openalex.org/W2561058892","https://openalex.org/W2088352174","https://openalex.org/W884630482"],"abstract_inverted_index":{"We":[0,120,134,156],"consider":[1],"the":[2,69,77,83,88,97,109,114,131,141,149,160,167,170,178,184,190,209,218,228,231,240,254,263,283,291,297],"problem":[3],"of":[4,18,65,123,143,162,169,197,220,230,239,265,285,290,294,299],"coordinated":[5],"multicell":[6,54,151,206],"downlink":[7],"beamforming":[8,55,152,281],"in":[9,205,262],"massive":[10,58,266],"multiple":[11,13],"input":[12],"output":[14],"(MIMO)":[15],"systems":[16,60],"consisting":[17],"<inline-formula":[19,26,38],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,27,39],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[21,28,40],"<tex-math":[22,29,41],"notation=\"LaTeX\">$N$":[23],"</tex-math></inline-formula>":[24,31,43],"cells,":[25],"notation=\"LaTeX\">$N_{t}$":[30],"antennas":[32,286],"per":[33,47,287,301],"base":[34],"station":[35],"(BS)":[36],"and":[37,223,234,258],"notation=\"LaTeX\">$K$":[42],"user":[44,89],"terminals":[45],"(UTs)":[46],"cell.":[48,302],"In":[49,269],"particular,":[50],"we":[51,192,216],"formulate":[52,130,193],"a":[53,137,194,202,236],"algorithm":[56,95,153,164,172,199,241,251],"for":[57,147],"MIMO":[59,267],"that":[61,159,249],"requires":[62,96],"limited":[63],"amount":[64],"information":[66,118],"exchange":[67,100],"between":[68],"BSs.":[70],"The":[71,94],"design":[72],"objective":[73],"is":[74,154,289],"to":[75,86,99,129,200,242],"minimize":[76],"aggregate":[78,185],"transmit":[79,186,212],"power":[80,187,213,261,275],"across":[81,188],"all":[82,189],"BSs":[84,98],"subject":[85],"satisfying":[87],"signal-to-interference-noise":[90],"ratio":[91],"(SINR)":[92],"constraints.":[93,214],"parameters":[101],"which":[102,148],"can":[103],"be":[104],"computed":[105],"solely":[106],"based":[107],"on":[108,140,182,227],"channel":[110,116],"statistics":[111],"rather":[112],"than":[113],"instantaneous":[115],"state":[117],"(CSI).":[119],"make":[121],"use":[122],"tools":[124],"from":[125],"random":[126],"matrix":[127],"theory":[128],"decentralized":[132,150,232],"algorithm.":[133],"also":[135,272],"characterize":[136],"lower":[138],"bound":[139],"set":[142],"target":[144,255],"SINR":[145,256],"values":[146],"feasible.":[155],"further":[157],"show":[158],"performance":[161,168,229],"our":[163,250],"asymptotically":[165],"matches":[166],"centralized":[171],"with":[173,279],"full":[174],"CSI":[175,222],"sharing.":[176],"While":[177],"original":[179],"result":[180],"focuses":[181],"minimizing":[183],"BSs,":[191],"heuristic":[195,237],"extension":[196,238],"this":[198],"incorporate":[201],"practical":[203],"constraint":[204],"systems,":[207],"namely":[208],"individual":[210],"BS":[211,288],"Finally,":[215],"investigate":[217],"impact":[219],"imperfect":[221],"pilot":[224],"contamination":[225],"effect":[226],"algorithm,":[233],"propose":[235],"accommodate":[243],"these":[244],"issues.":[245],"Simulation":[246],"results":[247],"illustrate":[248],"closely":[252],"satisfies":[253],"constraints":[257],"achieves":[259],"minimum":[260],"regime":[264],"systems.":[268],"addition,":[270],"it":[271],"provides":[273],"substantial":[274],"savings":[276],"as":[277,296],"compared":[278],"zero-forcing":[280],"when":[282],"number":[284,298],"same":[292],"orders":[293],"magnitude":[295],"UTs":[300]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
