{"id":"https://openalex.org/W2042612370","doi":"https://doi.org/10.3390/e14112122","title":"Optimization of MIMO Systems Capacity Using Large Random Matrix Methods","display_name":"Optimization of MIMO Systems Capacity Using Large Random Matrix Methods","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W2042612370","doi":"https://doi.org/10.3390/e14112122","mag":"2042612370"},"language":"en","primary_location":{"id":"doi:10.3390/e14112122","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14112122","pdf_url":"https://www.mdpi.com/1099-4300/14/11/2122/pdf?version=1424784890","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/14/11/2122/pdf?version=1424784890","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047553593","display_name":"Florian Dupuy","orcid":"https://orcid.org/0000-0003-3270-3125"},"institutions":[{"id":"https://openalex.org/I4210140930","display_name":"Thales (France)","ror":"https://ror.org/04emwm605","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210140930"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210156960","display_name":"Louvre","ror":"https://ror.org/05k441034","country_code":"FR","type":"archive","lineage":["https://openalex.org/I4210156960"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Florian Dupuy","raw_affiliation_strings":["Thales Communications & Security, 4 av. des Louvresses, 92622 Gennevilliers, France","Laboratoire d'Informatique Gaspard-Monge"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Thales Communications & Security, 4 av. des Louvresses, 92622 Gennevilliers, France","institution_ids":["https://openalex.org/I4210140930","https://openalex.org/I4210156960"]},{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111783204","display_name":"Philippe Loubaton","orcid":"https://orcid.org/0000-0002-5145-9319"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe Loubaton","raw_affiliation_strings":["Universit\u00e9 Paris-Est/Marne la Vall\u00e9e, LIGM, UMR CNRS 8049, 5 Bd. Descartes, Champs/Marne, 77454 Marne la Vall\u00e9e Cedex 2, France","Laboratoire d'Informatique Gaspard-Monge"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Est/Marne la Vall\u00e9e, LIGM, UMR CNRS 8049, 5 Bd. Descartes, Champs/Marne, 77454 Marne la Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge","institution_ids":["https://openalex.org/I4210152518"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047553593"],"corresponding_institution_ids":["https://openalex.org/I4210140930","https://openalex.org/I4210152518","https://openalex.org/I4210156960"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10611104,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"11","first_page":"2122","last_page":"2142"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9991000294685364,"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/T10069","display_name":"Antenna Design and Analysis","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.6855900287628174},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6729650497436523},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6166720986366272},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5868794322013855},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5334197878837585},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45288586616516113},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.44348251819610596},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44312193989753723},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4333876967430115},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34279343485832214},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1473323106765747},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.14723506569862366}],"concepts":[{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.6855900287628174},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6729650497436523},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6166720986366272},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5868794322013855},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5334197878837585},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45288586616516113},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.44348251819610596},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44312193989753723},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4333876967430115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34279343485832214},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1473323106765747},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.14723506569862366},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e14112122","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14112122","pdf_url":"https://www.mdpi.com/1099-4300/14/11/2122/pdf?version=1424784890","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00790072v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00790072","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, 2012, 14 (11), pp.2122-2142. ⟨10.3390/e14112122⟩","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:0070990c173f403a9bebca912b308611","is_oa":true,"landing_page_url":"https://doaj.org/article/0070990c173f403a9bebca912b308611","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 14, Iss 11, Pp 2122-2142 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e14112122","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14112122","pdf_url":"https://www.mdpi.com/1099-4300/14/11/2122/pdf?version=1424784890","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation","score":0.8299999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W650759447","https://openalex.org/W1509803206","https://openalex.org/W1534416612","https://openalex.org/W1575795454","https://openalex.org/W1580589996","https://openalex.org/W1586554030","https://openalex.org/W1973812611","https://openalex.org/W2060581589","https://openalex.org/W2072184935","https://openalex.org/W2086323639","https://openalex.org/W2097486310","https://openalex.org/W2100711986","https://openalex.org/W2107416670","https://openalex.org/W2109213734","https://openalex.org/W2112923538","https://openalex.org/W2120781903","https://openalex.org/W2128865660","https://openalex.org/W2129755576","https://openalex.org/W2130509920","https://openalex.org/W2130563116","https://openalex.org/W2136180922","https://openalex.org/W2141668793","https://openalex.org/W2144497295","https://openalex.org/W2149217686","https://openalex.org/W2153904265","https://openalex.org/W2165943096","https://openalex.org/W2169348101","https://openalex.org/W2175446003","https://openalex.org/W2296319761","https://openalex.org/W3100848270","https://openalex.org/W3103096700","https://openalex.org/W3103692684","https://openalex.org/W4229746864","https://openalex.org/W4250589301","https://openalex.org/W4302155765"],"related_works":["https://openalex.org/W2466816617","https://openalex.org/W1970834875","https://openalex.org/W842936808","https://openalex.org/W3174028392","https://openalex.org/W2000517284","https://openalex.org/W2365318811","https://openalex.org/W2136503713","https://openalex.org/W2375330620","https://openalex.org/W2363755581","https://openalex.org/W2378091429"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"a":[3,106,114],"comprehensive":[4],"introduction":[5],"of":[6,16,19,31,40,64,69,72,77,87,92,117],"large":[7,28,79,119],"random":[8],"matrix":[9,14],"methods":[10,103],"for":[11],"input":[12],"covariance":[13],"optimization":[15,39,95],"mutual":[17,32],"information":[18,33],"MIMO":[20],"systems.":[21],"It":[22],"is":[23,43],"first":[24],"recalled":[25],"informally":[26],"how":[27],"system":[29,80,120],"approximations":[30,42],"can":[34],"be":[35],"derived.":[36],"Then,":[37],"the":[38,41,55,61,65,67,70,75,78,85,90,98,118],"discussed,":[44],"and":[45],"important":[46],"methodological":[47],"points":[48],"that":[49],"are":[50,58],"not":[51],"necessarily":[52],"covered":[53],"by":[54],"existing":[56,99],"literature":[57],"addressed,":[59],"including":[60],"strict":[62],"concavity":[63],"approximation,":[66],"structure":[68],"argument":[71],"its":[73],"maximum,":[74],"accuracy":[76],"approach":[81],"with":[82],"regard":[83],"to":[84,105,112],"number":[86],"antennas,":[88],"or":[89],"justification":[91],"iterative":[93],"water-filling":[94],"algorithms.":[96],"While":[97],"papers":[100],"have":[101],"developed":[102],"adapted":[104],"specific":[107],"model,":[108],"this":[109],"contribution":[110],"tries":[111],"provide":[113],"unified":[115],"view":[116],"approximation":[121],"approach.":[122]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2016-06-24T00:00:00"}