{"id":"https://openalex.org/W2096680533","doi":"https://doi.org/10.1109/tit.2015.2482483","title":"On Optimum Asymptotic Multiuser Efficiency of Randomly Spread CDMA","display_name":"On Optimum Asymptotic Multiuser Efficiency of Randomly Spread CDMA","publication_year":2015,"publication_date":"2015-09-25","ids":{"openalex":"https://openalex.org/W2096680533","doi":"https://doi.org/10.1109/tit.2015.2482483","mag":"2096680533"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2482483","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2482483","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014884985","display_name":"Mohammad Ali Sedaghat","orcid":"https://orcid.org/0000-0003-0901-9210"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Mohammad Ali Sedaghat","raw_affiliation_strings":["Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Trondheim, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026710677","display_name":"Ralf R. M\u00fcller","orcid":"https://orcid.org/0000-0003-3780-9308"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]},{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE","NO"],"is_corresponding":false,"raw_author_name":"Ralf R. Muller","raw_affiliation_strings":["Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg, Erlangen, Germany","Norwegian University of Science and Technology, Trondheim, Norway"],"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander Universit\u00e4t Erlangen-N\u00fcrnberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069159448","display_name":"Farokh Marvasti","orcid":"https://orcid.org/0000-0002-4635-8986"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Farokh Marvasti","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014884985"],"corresponding_institution_ids":["https://openalex.org/I204778367"],"apc_list":null,"apc_paid":null,"fwci":0.3328,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65421194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"61","issue":"12","first_page":"6635","last_page":"6642"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9987000226974487,"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":0.9987000226974487,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9958000183105469,"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/T11716","display_name":"Random Matrices and Applications","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/antipodal-point","display_name":"Antipodal point","score":0.7998336553573608},{"id":"https://openalex.org/keywords/multiuser-detection","display_name":"Multiuser detection","score":0.6687514185905457},{"id":"https://openalex.org/keywords/code-division-multiple-access","display_name":"Code division multiple access","score":0.5607842803001404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5062066912651062},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4922415316104889},{"id":"https://openalex.org/keywords/synchronous-cdma","display_name":"Synchronous CDMA","score":0.4905514121055603},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.485385537147522},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46022042632102966},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4397872984409332},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.42142394185066223},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3704809248447418},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33023786544799805},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20335876941680908},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18246036767959595},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.17599815130233765},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.06388300657272339},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06294050812721252}],"concepts":[{"id":"https://openalex.org/C70943382","wikidata":"https://www.wikidata.org/wiki/Q505356","display_name":"Antipodal point","level":2,"score":0.7998336553573608},{"id":"https://openalex.org/C2777104032","wikidata":"https://www.wikidata.org/wiki/Q16324514","display_name":"Multiuser detection","level":3,"score":0.6687514185905457},{"id":"https://openalex.org/C47696715","wikidata":"https://www.wikidata.org/wiki/Q233394","display_name":"Code division multiple access","level":2,"score":0.5607842803001404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5062066912651062},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4922415316104889},{"id":"https://openalex.org/C2776153050","wikidata":"https://www.wikidata.org/wiki/Q233394","display_name":"Synchronous CDMA","level":4,"score":0.4905514121055603},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.485385537147522},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46022042632102966},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4397872984409332},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.42142394185066223},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3704809248447418},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33023786544799805},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20335876941680908},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18246036767959595},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.17599815130233765},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.06388300657272339},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06294050812721252}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2015.2482483","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2482483","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1544735579","https://openalex.org/W1986051087","https://openalex.org/W2034681107","https://openalex.org/W2046105301","https://openalex.org/W2078078912","https://openalex.org/W2094382091","https://openalex.org/W2143819079","https://openalex.org/W2144894789","https://openalex.org/W2296616510","https://openalex.org/W2324588684","https://openalex.org/W2912369344","https://openalex.org/W4238361102","https://openalex.org/W4240666298","https://openalex.org/W4250955649","https://openalex.org/W4298949291"],"related_works":["https://openalex.org/W1933375666","https://openalex.org/W2171748043","https://openalex.org/W4236271946","https://openalex.org/W2106707230","https://openalex.org/W1961421472","https://openalex.org/W2172247022","https://openalex.org/W1757249392","https://openalex.org/W2000493594","https://openalex.org/W2124894634","https://openalex.org/W2099293360"],"abstract_inverted_index":{"We":[0,37,154],"extend":[1],"the":[2,9,39,59,74,89,104,129,139,145],"result":[3],"by":[4],"Tse":[5],"and":[6,30,54,58,99,103,124,149,185],"Verd\u00fa":[7],"on":[8],"optimum":[10,40,75,130,150],"asymptotic":[11,41,131,151],"multiuser":[12,42,132,152],"efficiency":[13,43,133],"of":[14,44],"randomly":[15,80,174],"spread":[16,81],"code":[17],"division":[18],"multiple":[19],"access":[20],"(CDMA)":[21],"with":[22,48,65],"binary":[23,32,118,162],"phase":[24],"shift":[25],"keying":[26],"input.":[27],"Random":[28,117],"Gaussian":[29,79],"random":[31,168],"antipodal":[33,119],"spreading":[34,49],"are":[35,121,172],"considered.":[36],"obtain":[38,155],"a":[45,78,85,125,156,176,180],"K-user":[46],"system":[47,83,92],"gain":[50],"N":[51,55,100,165,186],"when":[52,97],"K":[53,66,98,167,184],"\u2192":[56,101,187],"\u221e":[57,102],"loading":[60,105],"factor,":[61,106],"(K/N),":[62,107],"grows":[63],"logarithmically":[64],"under":[67],"some":[68],"conditions.":[69],"It":[70],"is":[71,108,134,179],"shown":[72],"that":[73,159],"detector":[76],"in":[77,144],"CDMA":[82],"has":[84],"performance":[86],"close":[87],"to":[88],"single":[90],"user":[91],"at":[93],"high":[94],"signal-to-noise":[95],"ratio":[96],"kept":[109],"less":[110],"than":[111],"(log":[112],"<sub":[113],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[114],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sub>":[115],"K/2).":[116],"matrices":[120,143],"also":[122],"studied":[123],"lower":[126],"bound":[127],"for":[128,160],"obtained.":[135],"Furthermore,":[136],"we":[137],"investigate":[138],"connection":[140],"between":[141],"detecting":[142,181],"coin":[146],"weighing":[147],"problem":[148],"efficiency.":[153],"condition":[157],"such":[158],"any":[161],"input,":[163],"an":[164],"\u00d7":[166],"matrix,":[169],"whose":[170],"entries":[171],"chosen":[173],"from":[175],"finite":[177],"set,":[178],"matrix":[182],"as":[183],"\u221e.":[188]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}