{"id":"https://openalex.org/W2530533737","doi":"https://doi.org/10.1109/twc.2016.2616337","title":"MIMO Systems With Restricted Pre/Post-Coding\u2014Capacity Analysis Based on Coupled Doubly Correlated Wishart Matrices","display_name":"MIMO Systems With Restricted Pre/Post-Coding\u2014Capacity Analysis Based on Coupled Doubly Correlated Wishart Matrices","publication_year":2016,"publication_date":"2016-10-11","ids":{"openalex":"https://openalex.org/W2530533737","doi":"https://doi.org/10.1109/twc.2016.2616337","mag":"2530533737"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2016.2616337","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2016.2616337","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"},"type":"article","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/A5050853598","display_name":"V. V. Ratnam","orcid":"https://orcid.org/0000-0002-6599-0549"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vishnu V. Ratnam","raw_affiliation_strings":["Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Department of Electrical Engineering, University of Southern California, Los Angeles, CA , USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Department of Electrical Engineering, University of Southern California, Los Angeles, CA , USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071725365","display_name":"Andreas F. Molisch","orcid":"https://orcid.org/0000-0002-4779-4763"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andreas F. Molisch","raw_affiliation_strings":["Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Department of Electrical Engineering, University of Southern California, Los Angeles, CA , USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Department of Electrical Engineering, University of Southern California, Los Angeles, CA , USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107541137","display_name":"Haralabos Papadopoulos","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haralabos C. Papadopoulos","raw_affiliation_strings":["Docomo Innovations, Palo Alto, CA, USA","[Docomo Innovations, Palo Alto, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Docomo Innovations, Palo Alto, CA, USA","institution_ids":[]},{"raw_affiliation_string":"[Docomo Innovations, Palo Alto, CA, USA]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050853598"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":0.5513,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71519199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"12","first_page":"8537","last_page":"8550"},"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":0.9997000098228455,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9984999895095825,"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/precoding","display_name":"Precoding","score":0.8857038021087646},{"id":"https://openalex.org/keywords/wishart-distribution","display_name":"Wishart distribution","score":0.8413814306259155},{"id":"https://openalex.org/keywords/codebook","display_name":"Codebook","score":0.6331830024719238},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6261980533599854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5080387592315674},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4593721628189087},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4579464793205261},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4459100365638733},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44303110241889954},{"id":"https://openalex.org/keywords/communications-system","display_name":"Communications system","score":0.42679840326309204},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4049646854400635},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38817787170410156},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3585289716720581},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33742696046829224},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.31006649136543274},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2665347158908844},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.21447569131851196},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16154149174690247},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08897632360458374},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08211782574653625}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.8857038021087646},{"id":"https://openalex.org/C33962027","wikidata":"https://www.wikidata.org/wiki/Q1930697","display_name":"Wishart distribution","level":3,"score":0.8413814306259155},{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.6331830024719238},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6261980533599854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5080387592315674},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4593721628189087},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4579464793205261},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4459100365638733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44303110241889954},{"id":"https://openalex.org/C101765175","wikidata":"https://www.wikidata.org/wiki/Q577764","display_name":"Communications system","level":2,"score":0.42679840326309204},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4049646854400635},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38817787170410156},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3585289716720581},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33742696046829224},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.31006649136543274},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2665347158908844},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.21447569131851196},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16154149174690247},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08897632360458374},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08211782574653625},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/twc.2016.2616337","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2016.2616337","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W60052547","https://openalex.org/W127370987","https://openalex.org/W135467536","https://openalex.org/W1967625005","https://openalex.org/W1971398013","https://openalex.org/W2000031724","https://openalex.org/W2010828064","https://openalex.org/W2018375926","https://openalex.org/W2025138368","https://openalex.org/W2030782905","https://openalex.org/W2037801169","https://openalex.org/W2045463928","https://openalex.org/W2059126714","https://openalex.org/W2065861083","https://openalex.org/W2066086524","https://openalex.org/W2068712429","https://openalex.org/W2072184935","https://openalex.org/W2074863717","https://openalex.org/W2088011849","https://openalex.org/W2098213935","https://openalex.org/W2099298993","https://openalex.org/W2100245203","https://openalex.org/W2101341474","https://openalex.org/W2103442809","https://openalex.org/W2107286784","https://openalex.org/W2113271807","https://openalex.org/W2115404568","https://openalex.org/W2119299556","https://openalex.org/W2119456443","https://openalex.org/W2120346903","https://openalex.org/W2120867684","https://openalex.org/W2123488929","https://openalex.org/W2124988108","https://openalex.org/W2129373681","https://openalex.org/W2130510547","https://openalex.org/W2130521103","https://openalex.org/W2131187424","https://openalex.org/W2133745024","https://openalex.org/W2135688481","https://openalex.org/W2137880638","https://openalex.org/W2138702332","https://openalex.org/W2139306630","https://openalex.org/W2140650978","https://openalex.org/W2144100131","https://openalex.org/W2145412765","https://openalex.org/W2147601077","https://openalex.org/W2149752951","https://openalex.org/W2158750015","https://openalex.org/W2160585451","https://openalex.org/W2161515500","https://openalex.org/W2478708596","https://openalex.org/W2963428770","https://openalex.org/W3146387078","https://openalex.org/W4210901216","https://openalex.org/W4235371447","https://openalex.org/W4239272157","https://openalex.org/W4255333822","https://openalex.org/W6675203744"],"related_works":["https://openalex.org/W3207918248","https://openalex.org/W2130785056","https://openalex.org/W2123156148","https://openalex.org/W2506626932","https://openalex.org/W2014264654","https://openalex.org/W2037755532","https://openalex.org/W2620095399","https://openalex.org/W1488668773","https://openalex.org/W4288602396","https://openalex.org/W2914555611"],"abstract_inverted_index":{"Many":[0],"practical":[1],"communication":[2],"systems":[3,33,63],"have":[4],"some":[5],"form":[6],"of":[7,31,84,89,102,130,143,147,149],"restricted":[8],"precoding":[9,174,195],"or":[10],"postcoding,":[11],"such":[12,32,62],"as":[13,126],"antenna":[14,167],"selection,":[15,19],"selection":[16,168],"combining,":[17],"beam":[18],"and":[20,38,81,170],"limited":[21,172,198],"feedback":[22,173,199],"precoding,":[23],"to":[24,57,98,117,140,156,192],"name":[25],"a":[26,54,65,87,131,153,171],"few.":[27],"The":[28,69],"capacity":[29,60,122,164],"analysis":[30],"is,":[34],"in":[35,41,105,197],"general,":[36],"difficult":[37],"previous":[39],"works":[40],"the":[42,59,78,99,103,106,120,127,141,145,163,187,194],"literature":[43],"provide":[44],"results":[45,70,113,188],"only":[46],"for":[47,61,77,86,165],"certain":[48],"simplified":[49],"cases.":[50],"This":[51,182],"paper":[52,183],"derives":[53],"novel":[55,154],"approach":[56,155],"analyze":[58],"under":[64],"very":[66],"generic":[67],"setting.":[68],"are":[71,114],"based":[72],"on":[73],"asymptotic":[74],"closed-form":[75],"expressions":[76],"second-order":[79],"statistics":[80],"joint":[82,100],"distributions":[83],"eigenvalues":[85,104],"set":[88],"coupled,":[90],"doubly":[91],"correlated":[92,132],"Wishart":[93],"matrices.":[94],"A":[95],"tight":[96],"approximation":[97],"distribution":[101,146],"non-asymptotic":[107],"regime":[108],"is":[109,138,176],"also":[110,184],"proposed.":[111],"These":[112],"then":[115],"used":[116,191],"show":[118],"that":[119,136],"system":[121,169,175],"can":[123,189],"be":[124,190],"approximated":[125],"largest":[128],"element":[129],"Gaussian":[133],"vector.":[134],"Showing":[135],"this":[137],"equivalent":[139],"problem":[142],"finding":[144],"sum":[148],"lognormals,":[150],"we":[151],"propose":[152],"characterize":[157],"its":[158],"distribution.":[159],"As":[160],"an":[161,166],"application,":[162],"compared":[177],"with":[178],"their":[179],"respective":[180],"approximations.":[181],"demonstrates":[185],"how":[186],"design":[193],"codebook":[196],"systems.":[200]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}