{"id":"https://openalex.org/W2784159064","doi":"https://doi.org/10.1109/tsp.2018.2791980","title":"Using Joint Generalized Eigenvectors of a Set of Covariance Matrix Pencils for Deflationary Blind Source Extraction","display_name":"Using Joint Generalized Eigenvectors of a Set of Covariance Matrix Pencils for Deflationary Blind Source Extraction","publication_year":2018,"publication_date":"2018-01-11","ids":{"openalex":"https://openalex.org/W2784159064","doi":"https://doi.org/10.1109/tsp.2018.2791980","mag":"2784159064"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2018.2791980","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2018.2791980","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5067182929","display_name":"Mingjian Zhang","orcid":"https://orcid.org/0000-0001-6839-5051"},"institutions":[{"id":"https://openalex.org/I118612203","display_name":"Hunan Police Academy","ror":"https://ror.org/02gh10772","country_code":"CN","type":"education","lineage":["https://openalex.org/I118612203"]},{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mingjian Zhang","raw_affiliation_strings":["Hunan Police Academy, Changsha, China","School of Information Science and Engineering, Central South University, Changsha,, China"],"raw_orcid":"https://orcid.org/0000-0001-6839-5051","affiliations":[{"raw_affiliation_string":"Hunan Police Academy, Changsha, China","institution_ids":["https://openalex.org/I118612203"]},{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha,, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100434102","display_name":"Xiaohua Li","orcid":"https://orcid.org/0000-0002-1209-7837"},"institutions":[{"id":"https://openalex.org/I123946342","display_name":"Binghamton University","ror":"https://ror.org/008rmbt77","country_code":"US","type":"education","lineage":["https://openalex.org/I123946342"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaohua Li","raw_affiliation_strings":["Department of Electrical and Computer Engineering, State University of New York at Binghamton, Binghamton, NY, USA"],"raw_orcid":"https://orcid.org/0000-0002-1209-7837","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, State University of New York at Binghamton, Binghamton, NY, USA","institution_ids":["https://openalex.org/I123946342"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052901606","display_name":"Jun Peng","orcid":"https://orcid.org/0000-0001-6269-6929"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Peng","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-6269-6929","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067182929"],"corresponding_institution_ids":["https://openalex.org/I118612203","https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":0.8281,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72250798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"66","issue":"11","first_page":"2892","last_page":"2904"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":1.0,"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"}},{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9771999716758728,"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"}},{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9445000290870667,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/blind-signal-separation","display_name":"Blind signal separation","score":0.7218692302703857},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6183096766471863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5700803399085999},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5485513806343079},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5237219929695129},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5197172164916992},{"id":"https://openalex.org/keywords/generalized-eigenvector","display_name":"Generalized eigenvector","score":0.5111077427864075},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4667981266975403},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44408372044563293},{"id":"https://openalex.org/keywords/eigendecomposition-of-a-matrix","display_name":"Eigendecomposition of a matrix","score":0.4276009500026703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35148823261260986},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.29533669352531433},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.09279826283454895}],"concepts":[{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.7218692302703857},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6183096766471863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5700803399085999},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5485513806343079},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5237219929695129},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5197172164916992},{"id":"https://openalex.org/C147925508","wikidata":"https://www.wikidata.org/wiki/Q970767","display_name":"Generalized eigenvector","level":5,"score":0.5111077427864075},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4667981266975403},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44408372044563293},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.4276009500026703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35148823261260986},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.29533669352531433},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.09279826283454895},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2018.2791980","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2018.2791980","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3720440816","display_name":null,"funder_award_id":"61672537","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G541618327","display_name":null,"funder_award_id":"61471169","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7624268886","display_name":null,"funder_award_id":"61379111","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":75,"referenced_works":["https://openalex.org/W271314235","https://openalex.org/W1514159701","https://openalex.org/W1541680940","https://openalex.org/W1548802052","https://openalex.org/W1560991867","https://openalex.org/W1573301526","https://openalex.org/W1599620178","https://openalex.org/W1656292794","https://openalex.org/W1973443204","https://openalex.org/W1976707736","https://openalex.org/W1983821361","https://openalex.org/W1985786380","https://openalex.org/W2006770310","https://openalex.org/W2011359124","https://openalex.org/W2012536634","https://openalex.org/W2022488470","https://openalex.org/W2036704249","https://openalex.org/W2042922732","https://openalex.org/W2048023990","https://openalex.org/W2050616618","https://openalex.org/W2051426805","https://openalex.org/W2070333688","https://openalex.org/W2077837459","https://openalex.org/W2078789945","https://openalex.org/W2079113737","https://openalex.org/W2080677173","https://openalex.org/W2081449713","https://openalex.org/W2086356052","https://openalex.org/W2096154138","https://openalex.org/W2096327012","https://openalex.org/W2097162250","https://openalex.org/W2097807915","https://openalex.org/W2099741732","https://openalex.org/W2103972604","https://openalex.org/W2109913859","https://openalex.org/W2112220340","https://openalex.org/W2112335201","https://openalex.org/W2114560082","https://openalex.org/W2119645668","https://openalex.org/W2122289069","https://openalex.org/W2124558689","https://openalex.org/W2124757684","https://openalex.org/W2130108515","https://openalex.org/W2130362519","https://openalex.org/W2131911936","https://openalex.org/W2132499607","https://openalex.org/W2133900413","https://openalex.org/W2134178685","https://openalex.org/W2135526217","https://openalex.org/W2136424517","https://openalex.org/W2136912397","https://openalex.org/W2138356150","https://openalex.org/W2142638745","https://openalex.org/W2144935618","https://openalex.org/W2146191472","https://openalex.org/W2146681181","https://openalex.org/W2147955712","https://openalex.org/W2158218920","https://openalex.org/W2158923808","https://openalex.org/W2159290965","https://openalex.org/W2161566590","https://openalex.org/W2172211596","https://openalex.org/W2185812380","https://openalex.org/W2189723018","https://openalex.org/W2293389874","https://openalex.org/W2405750633","https://openalex.org/W2410501318","https://openalex.org/W2607633041","https://openalex.org/W2952782491","https://openalex.org/W2963942504","https://openalex.org/W3103391113","https://openalex.org/W3105835503","https://openalex.org/W4205778870","https://openalex.org/W6634173106","https://openalex.org/W6680391196"],"related_works":["https://openalex.org/W1971296617","https://openalex.org/W2117760611","https://openalex.org/W2938584951","https://openalex.org/W2005921625","https://openalex.org/W2156673141","https://openalex.org/W2152355934","https://openalex.org/W2470850800","https://openalex.org/W4247119539","https://openalex.org/W2106353646","https://openalex.org/W2000234803"],"abstract_inverted_index":{"In":[0,169],"this":[1,158],"paper,":[2],"we":[3,73,96],"develop":[4,74],"a":[5,18,27,109,114],"new":[6,34,172],"deflationary":[7],"blind":[8,165],"source":[9,15,55,166],"extraction":[10,56],"(BSE)":[11],"algorithm":[12,121,138,159,173],"that":[13,44,98,157],"extracts":[14],"signals":[16],"in":[17],"sequential":[19],"fashion":[20],"via":[21],"the":[22,54,65,79,83,87,93,99,127,140,171],"joint":[23,37,70,88,141],"generalized":[24,38,71,89,142],"eigenvectors":[25,143],"of":[26,29,36,68,86],"set":[28],"covariance":[30],"matrix":[31,61,116,130],"pencils.":[32,62],"The":[33],"concept":[35],"eigenvector":[39],"is":[40,122,174],"defined.":[41],"We":[42],"prove":[43],"these":[45],"vectors":[46,57],"can":[47,102],"be":[48,103],"made":[49],"unique":[50],"and":[51,82,113,133,144,151,181],"identical":[52],"to":[53,177],"with":[58,92],"properly":[59],"selected":[60],"To":[63],"resolve":[64],"open":[66],"problem":[67,101],"estimating":[69],"eigenvectors,":[72],"an":[75,106],"approach":[76],"based":[77],"on":[78],"deflation":[80],"operation":[81],"proportional":[84,94],"property":[85],"eigenvectors.":[90],"Specifically,":[91],"property,":[95],"show":[97],"estimation":[100],"formulated":[104],"as":[105],"optimization":[107],"involving":[108],"quadratic":[110],"cost":[111],"function":[112],"unit-rank":[115],"constraint.":[117],"An":[118],"efficient":[119],"iterative":[120],"then":[123],"developed":[124],"by":[125],"applying":[126],"gradient":[128],"search,":[129],"shrinkage,":[131],"deflation,":[132],"symmetry-preserving":[134],"vectorization":[135],"techniques.":[136],"This":[137],"estimates":[139],"conducts":[145],"BSE":[146,163],"sequentially.":[147],"Its":[148],"computational":[149],"complexity":[150],"convergence":[152],"are":[153],"analyzed.":[154],"Simulations":[155],"demonstrate":[156],"outperforms":[160],"many":[161],"typical":[162],"or":[164],"separation":[167],"algorithms.":[168],"particular,":[170],"more":[175],"robust":[176],"both":[178],"heavy":[179],"noise":[180],"ill-conditioned":[182],"mixing":[183],"matrices.":[184]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
