{"id":"https://openalex.org/W2115311694","doi":"https://doi.org/10.1109/glocom.2009.5425991","title":"Cooperative Spectrum Sensing Using Free Probability Theory","display_name":"Cooperative Spectrum Sensing Using Free Probability Theory","publication_year":2009,"publication_date":"2009-11-01","ids":{"openalex":"https://openalex.org/W2115311694","doi":"https://doi.org/10.1109/glocom.2009.5425991","mag":"2115311694"},"language":"en","primary_location":{"id":"doi:10.1109/glocom.2009.5425991","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2009.5425991","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference","raw_type":"proceedings-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/A5100435939","display_name":"Lei Wang","orcid":"https://orcid.org/0000-0002-4994-805X"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lei Wang","raw_affiliation_strings":["Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, China","Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, P. R. of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, P. R. of China#TAB#","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037092055","display_name":"Baoyu Zheng","orcid":"https://orcid.org/0000-0002-7639-9711"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baoyu Zheng","raw_affiliation_strings":["Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, China","Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, P. R. of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, P. R. of China#TAB#","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112332478","display_name":"Jingwu Cui","orcid":null},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingwu Cui","raw_affiliation_strings":["Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, China","Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, P. R. of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, P. R. of China#TAB#","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063928354","display_name":"Sulan Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sulan Tang","raw_affiliation_strings":["Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, China","Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, P. R. of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing, P. R. of China#TAB#","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040863817","display_name":"Haie Dou","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haie Dou","raw_affiliation_strings":["South-East University, Nanjing, China","Southeast University, Nanjing, P. R. of China"],"affiliations":[{"raw_affiliation_string":"South-East University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Southeast University, Nanjing, P. R. of China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100435939"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":null,"apc_paid":null,"fwci":0.848,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76222167,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"54","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":1.0,"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"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9901999831199646,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/random-matrix","display_name":"Random matrix","score":0.8049710988998413},{"id":"https://openalex.org/keywords/free-probability","display_name":"Free probability","score":0.6617655754089355},{"id":"https://openalex.org/keywords/cognitive-radio","display_name":"Cognitive radio","score":0.658452033996582},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.657922089099884},{"id":"https://openalex.org/keywords/wishart-distribution","display_name":"Wishart distribution","score":0.6222195029258728},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.5629324316978455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5517742037773132},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.4736576974391937},{"id":"https://openalex.org/keywords/probability-theory","display_name":"Probability theory","score":0.44745299220085144},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43812328577041626},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.42159998416900635},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4182708263397217},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4097495675086975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37734729051589966},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.34115344285964966},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2581036686897278},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2405356764793396},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.21322518587112427},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.18279379606246948},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.18087515234947205},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15335863828659058},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.147779643535614},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09039139747619629}],"concepts":[{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.8049710988998413},{"id":"https://openalex.org/C70120467","wikidata":"https://www.wikidata.org/wiki/Q515893","display_name":"Free probability","level":2,"score":0.6617655754089355},{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.658452033996582},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.657922089099884},{"id":"https://openalex.org/C33962027","wikidata":"https://www.wikidata.org/wiki/Q1930697","display_name":"Wishart distribution","level":3,"score":0.6222195029258728},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.5629324316978455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5517742037773132},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4736576974391937},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.44745299220085144},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43812328577041626},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.42159998416900635},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4182708263397217},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4097495675086975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37734729051589966},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.34115344285964966},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2581036686897278},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2405356764793396},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.21322518587112427},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.18279379606246948},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.18087515234947205},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15335863828659058},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.147779643535614},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09039139747619629},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/glocom.2009.5425991","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2009.5425991","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8199999928474426,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W591099569","https://openalex.org/W1572777589","https://openalex.org/W1586554030","https://openalex.org/W1995946241","https://openalex.org/W2000798729","https://openalex.org/W2072184935","https://openalex.org/W2098971218","https://openalex.org/W2108498371","https://openalex.org/W2108600031","https://openalex.org/W2110988249","https://openalex.org/W2149020265","https://openalex.org/W2150976716","https://openalex.org/W2171420707","https://openalex.org/W2465087930","https://openalex.org/W4229746864","https://openalex.org/W4239607863"],"related_works":["https://openalex.org/W780524361","https://openalex.org/W2155082016","https://openalex.org/W2013173442","https://openalex.org/W3045532399","https://openalex.org/W3088354283","https://openalex.org/W2053753275","https://openalex.org/W2933036087","https://openalex.org/W2026905365","https://openalex.org/W2115311694","https://openalex.org/W2075472583"],"abstract_inverted_index":{"Free":[0],"probability":[1,35],"theory,":[2,12,36],"which":[3,46],"has":[4,82],"became":[5],"a":[6,14,37,97],"main":[7],"branch":[8],"of":[9,22,52,58,96,100],"random":[10,28,53],"matrix":[11],"is":[13,44],"valuable":[15],"tool":[16],"for":[17,26,41,68,93],"describing":[18],"the":[19,56,79,88,94],"asymptotic":[20,49],"behavior":[21,51],"multiple":[23],"systems,":[24],"especially":[25],"large":[27],"matrices.":[29],"In":[30],"this":[31],"paper,":[32],"using":[33],"free":[34,50],"new":[38],"cooperative":[39],"scheme":[40,81],"spectrum":[42,66],"sensing":[43,67],"proposed,":[45],"shows":[47],"how":[48],"matrices":[54],"and":[55,75],"property":[57],"Wishart":[59],"distribution":[60],"can":[61],"be":[62],"used":[63],"to":[64],"assist":[65],"cognitive":[69],"radios.":[70],"Simulations":[71],"over":[72],"Rayleigh":[73],"fading":[74],"AWGN":[76],"channels":[77],"demonstrate":[78],"proposed":[80],"better":[83],"detection":[84,90],"performance":[85],"compared":[86],"with":[87],"energy":[89],"techniques":[91],"even":[92],"case":[95],"small":[98],"sample":[99],"observations.":[101]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}