{"id":"https://openalex.org/W1969026779","doi":"https://doi.org/10.1109/tvt.2012.2227344","title":"On the Asymptotic Spectral Efficiency of Uplink MIMO-CDMA Systems Over Rayleigh Fading Channels With Arbitrary Spatial Correlation","display_name":"On the Asymptotic Spectral Efficiency of Uplink MIMO-CDMA Systems Over Rayleigh Fading Channels With Arbitrary Spatial Correlation","publication_year":2012,"publication_date":"2012-11-21","ids":{"openalex":"https://openalex.org/W1969026779","doi":"https://doi.org/10.1109/tvt.2012.2227344","mag":"1969026779"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2012.2227344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2012.2227344","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","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/A5101668133","display_name":"Peng Pan","orcid":"https://orcid.org/0000-0002-6885-7727"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Pan","raw_affiliation_strings":["College of Communication Engineering, Hangzhou Dianzi University, Hangzhou, China","College of Communication Engineering Hangzhou DianZi University Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Communication Engineering, Hangzhou Dianzi University, Hangzhou, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"College of Communication Engineering Hangzhou DianZi University Hangzhou, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018693228","display_name":"Youguang Zhang","orcid":"https://orcid.org/0009-0008-0928-4210"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Youguang Zhang","raw_affiliation_strings":["School of Electronic and Information Engineering, Beihang University, Beijing, China","Sch. of Electron. & Inf. Eng., Beihang Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Sch. of Electron. & Inf. Eng., Beihang Univ., Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078413536","display_name":"Yuquan Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuquan Sun","raw_affiliation_strings":["School of Electronic and Information Engineering, Beihang University, Beijing, China","Sch. of Electron. & Inf. Eng., Beihang Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Sch. of Electron. & Inf. Eng., Beihang Univ., Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100329747","display_name":"Lie\u2010Liang Yang","orcid":"https://orcid.org/0000-0002-2032-9327"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lie-Liang Yang","raw_affiliation_strings":["School of Electronics and Computer Science,, University of Southampton, Southampton, UK","Sch. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Computer Science,, University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]},{"raw_affiliation_string":"Sch. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK#TAB#","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5414,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.89277723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"62","issue":"2","first_page":"679","last_page":"691"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9995999932289124,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9993000030517578,"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/telecommunications-link","display_name":"Telecommunications link","score":0.6224960684776306},{"id":"https://openalex.org/keywords/wishart-distribution","display_name":"Wishart distribution","score":0.6200014352798462},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6126410365104675},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.5716921091079712},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5200890302658081},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.4902835190296173},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.48578575253486633},{"id":"https://openalex.org/keywords/code-division-multiple-access","display_name":"Code division multiple access","score":0.46590977907180786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4282231330871582},{"id":"https://openalex.org/keywords/spectral-efficiency","display_name":"Spectral efficiency","score":0.4180951714515686},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38877803087234497},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37881362438201904},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.25715726613998413},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.2107751965522766},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2043743133544922},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1691245436668396},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14583027362823486},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14236688613891602}],"concepts":[{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.6224960684776306},{"id":"https://openalex.org/C33962027","wikidata":"https://www.wikidata.org/wiki/Q1930697","display_name":"Wishart distribution","level":3,"score":0.6200014352798462},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6126410365104675},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.5716921091079712},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5200890302658081},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.4902835190296173},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.48578575253486633},{"id":"https://openalex.org/C47696715","wikidata":"https://www.wikidata.org/wiki/Q233394","display_name":"Code division multiple access","level":2,"score":0.46590977907180786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4282231330871582},{"id":"https://openalex.org/C137246740","wikidata":"https://www.wikidata.org/wiki/Q583970","display_name":"Spectral efficiency","level":3,"score":0.4180951714515686},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38877803087234497},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37881362438201904},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.25715726613998413},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.2107751965522766},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2043743133544922},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1691245436668396},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14583027362823486},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14236688613891602},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2012.2227344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2012.2227344","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W151604921","https://openalex.org/W1581476891","https://openalex.org/W1609433270","https://openalex.org/W1969521176","https://openalex.org/W1971346204","https://openalex.org/W1981373525","https://openalex.org/W1992754749","https://openalex.org/W2051113130","https://openalex.org/W2054527141","https://openalex.org/W2079678340","https://openalex.org/W2095598449","https://openalex.org/W2096127572","https://openalex.org/W2096765600","https://openalex.org/W2097780353","https://openalex.org/W2100033592","https://openalex.org/W2101008856","https://openalex.org/W2106359671","https://openalex.org/W2109286020","https://openalex.org/W2111076496","https://openalex.org/W2112171890","https://openalex.org/W2113250264","https://openalex.org/W2115543075","https://openalex.org/W2116720799","https://openalex.org/W2118040894","https://openalex.org/W2120339991","https://openalex.org/W2127995963","https://openalex.org/W2128656362","https://openalex.org/W2129144737","https://openalex.org/W2130509920","https://openalex.org/W2130510547","https://openalex.org/W2132220432","https://openalex.org/W2132473588","https://openalex.org/W2133864395","https://openalex.org/W2134504076","https://openalex.org/W2134942527","https://openalex.org/W2136208885","https://openalex.org/W2136621718","https://openalex.org/W2136979582","https://openalex.org/W2141253333","https://openalex.org/W2146082454","https://openalex.org/W2147244219","https://openalex.org/W2148644117","https://openalex.org/W2148975063","https://openalex.org/W2154118207","https://openalex.org/W2154529571","https://openalex.org/W2169561902","https://openalex.org/W2169693117","https://openalex.org/W3106282754","https://openalex.org/W4229746864","https://openalex.org/W4247112229","https://openalex.org/W6786336975"],"related_works":["https://openalex.org/W2146312983","https://openalex.org/W3125585713","https://openalex.org/W1495911156","https://openalex.org/W2100259668","https://openalex.org/W4252996645","https://openalex.org/W2038961333","https://openalex.org/W2160570982","https://openalex.org/W2100076219","https://openalex.org/W3133190471","https://openalex.org/W55148799"],"abstract_inverted_index":{"In":[0,35,66],"this":[1,67],"paper,":[2,68],"we":[3],"study":[4],"the":[5,11,32,36,40,63,69,79,86,102,105,119,122,145,158,162],"asymptotic":[6,81],"spectral":[7,123],"efficiency":[8,124],"(ASE)":[9],"of":[10,71,85,104,127,152,157],"uplink":[12],"multiple-input\u2013multiple-output":[13],"direct-sequence":[14],"code-division":[15],"multiple-access":[16],"(MIMO-CDMA)":[17],"systems":[18,38,130],"supporting":[19],"multiple":[20],"users,":[21],"when":[22],"assuming":[23],"communications":[24],"over":[25],"flat-fading":[26],"channels":[27],"with":[28],"arbitrary":[29],"correlation":[30,87],"in":[31,149],"spatial":[33,64],"domain.":[34],"MIMO-CDMA":[37,129,164],"considered,":[39],"system-channel-related":[41],"matrix":[42,88,107],"expressed":[43],"by":[44,133,161],"<formula":[45,89,108],"formulatype=\"inline\"":[46,90,109],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[47,91,110],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex":[48,92,111],"Notation=\"TeX\">${\\mmb":[49,93,112],"H}$</tex></formula>":[50,99,113],"is":[51,75,131],"a":[52],"block":[53,106],"random":[54],"matrix,":[55],"whose":[56],"entries":[57],"may":[58],"be":[59],"correlated":[60],"due":[61],"to":[62,77,115],"correlation.":[65],"theory":[70],"operator-valued":[72],"free":[73],"probability":[74],"employed":[76],"derive":[78],"approximate":[80,120],"eigenvalue":[82],"distribution":[83],"(AED)":[84],"R}_{\\mmb":[94],"H}":[95],"=":[96],"{\\mmb":[97],"H}^{H}{\\mmb":[98],",":[100],"where":[101],"size":[103],"tends":[114],"infinity.":[116],"Based":[117],"on":[118],"AED,":[121],"(SE)":[125],"performance":[126],"multiuser":[128],"studied":[132],"both":[134],"analysis":[135],"and":[136,140],"simulations.":[137],"Our":[138],"simulation":[139],"numerical":[141],"results":[142],"show":[143],"that":[144],"corresponding":[146],"ASE":[147],"is,":[148],"general,":[150],"capable":[151],"providing":[153],"very":[154],"good":[155],"prediction":[156],"SE":[159],"achieved":[160],"practical":[163],"systems.":[165]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
