{"id":"https://openalex.org/W1973147112","doi":"https://doi.org/10.1109/isit.2012.6283838","title":"A random matrix approach to the finite blocklength regime of MIMO fading channels","display_name":"A random matrix approach to the finite blocklength regime of MIMO fading channels","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W1973147112","doi":"https://doi.org/10.1109/isit.2012.6283838","mag":"1973147112"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2012.6283838","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2012.6283838","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-00771243","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074728359","display_name":"Jakob Hoydis","orcid":"https://orcid.org/0000-0002-0438-967X"},"institutions":[{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jakob Hoydis","raw_affiliation_strings":["Alcatel-Lucent, Bell Laboratories, Stuttgart, Germany","[Bells Labs, Alcatel-Lucent, Stuttgart, Germany]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alcatel-Lucent, Bell Laboratories, Stuttgart, Germany","institution_ids":["https://openalex.org/I1322087612"]},{"raw_affiliation_string":"[Bells Labs, Alcatel-Lucent, Stuttgart, Germany]","institution_ids":["https://openalex.org/I1322087612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021257434","display_name":"Romain Couillet","orcid":"https://orcid.org/0000-0001-5755-2090"},"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Romain Couillet","raw_affiliation_strings":["Department of Telecommunications, SUPELEC, France","Department of Telecommunications"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Telecommunications, SUPELEC, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Department of Telecommunications","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071189599","display_name":"Pablo Piantanida","orcid":"https://orcid.org/0000-0002-8717-2117"},"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pablo Piantanida","raw_affiliation_strings":["Department of Telecommunications, SUPELEC, France","Department of Telecommunications"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Telecommunications, SUPELEC, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Department of Telecommunications","institution_ids":[]}]},{"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/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Merouane Debbah","raw_affiliation_strings":["Alcatel-Lucent Chair on Flexible Radio, SUPELEC, France","Alcatel-Lucent Chair on Flexible Radio, Sup\u00e9lec France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alcatel-Lucent Chair on Flexible Radio, SUPELEC, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Alcatel-Lucent Chair on Flexible Radio, Sup\u00e9lec France","institution_ids":["https://openalex.org/I1322087612"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":null,"first_page":"2181","last_page":"2185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security 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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security 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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7478836178779602},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.6382561326026917},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.6340748071670532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6218519806861877},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.4763917326927185},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4396998882293701},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.4260013997554779},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4174090027809143},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.4130403399467468},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3277468979358673},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20881476998329163},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.20874762535095215},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17279785871505737},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.15480977296829224},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.11939159035682678},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.07583475112915039}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7478836178779602},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.6382561326026917},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.6340748071670532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6218519806861877},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.4763917326927185},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4396998882293701},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.4260013997554779},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4174090027809143},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.4130403399467468},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3277468979358673},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20881476998329163},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.20874762535095215},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17279785871505737},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.15480977296829224},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.11939159035682678},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.07583475112915039},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2012.6283838","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2012.6283838","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00771243v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-00771243","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":"2012 IEEE International Symposium on Information Theory Proceedings, Jul 2012, Cambridge, United States. pp.2181 - 2185, &#x27E8;10.1109/ISIT.2012.6283838&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00771243v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-00771243","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":"2012 IEEE International Symposium on Information Theory Proceedings, Jul 2012, Cambridge, United States. pp.2181 - 2185, &#x27E8;10.1109/ISIT.2012.6283838&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W79265410","https://openalex.org/W1993944611","https://openalex.org/W2020347709","https://openalex.org/W2044180609","https://openalex.org/W2056099894","https://openalex.org/W2074393379","https://openalex.org/W2096446769","https://openalex.org/W2104340231","https://openalex.org/W2106553657","https://openalex.org/W2106864314","https://openalex.org/W2116142289","https://openalex.org/W2123485355","https://openalex.org/W2127550669","https://openalex.org/W2131777954","https://openalex.org/W2140517850","https://openalex.org/W2162635854","https://openalex.org/W2319338832","https://openalex.org/W4251984466","https://openalex.org/W6674622313"],"related_works":["https://openalex.org/W2116044594","https://openalex.org/W2101999641","https://openalex.org/W1503152075","https://openalex.org/W301676527","https://openalex.org/W2052600062","https://openalex.org/W2124541664","https://openalex.org/W289296924","https://openalex.org/W2122920812","https://openalex.org/W2942696422","https://openalex.org/W2076148615"],"abstract_inverted_index":{"This":[0,48],"paper":[1],"provides":[2],"a":[3],"novel":[4],"central":[5],"limit":[6],"theorem":[7],"(CLT)":[8],"for":[9,89],"the":[10,14,24,29,58,73,77,84],"information":[11],"density":[12],"of":[13,31,43,46,65,76,93],"MIMO":[15],"Rayleigh":[16],"fading":[17],"channel":[18],"under":[19],"white":[20],"Gaussian":[21],"inputs,":[22],"when":[23],"data":[25],"blocklength":[26],"n":[27],"and":[28,33,37,72],"number":[30],"transmit":[32],"receive":[34],"antennas":[35],"K":[36],"N,":[38],"respectively,":[39],"are":[40],"large":[41],"but":[42],"similar":[44],"order":[45],"magnitude.":[47],"CLT":[49],"is":[50,87],"used":[51],"to":[52],"derive":[53],"closed-form":[54],"upper":[55],"bounds":[56],"on":[57],"error":[59],"probability":[60],"via":[61],"an":[62],"input-constrained":[63],"version":[64],"Feinstein's":[66],"lemma":[67],"by":[68],"Polyanskiy":[69],"et":[70],"al.":[71],"second-order":[74],"approximation":[75,86],"coding":[78],"rate.":[79],"Numerical":[80],"evaluations":[81],"suggest":[82],"that":[83],"normal":[85],"tight":[88],"reasonably":[90],"small":[91],"values":[92],"n,":[94],"K,":[95],"N.":[96]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
