{"id":"https://openalex.org/W2161566590","doi":"https://doi.org/10.1109/78.905873","title":"A generalization of joint-diagonalization criteria for source separation","display_name":"A generalization of joint-diagonalization criteria for source separation","publication_year":2001,"publication_date":"2001-03-01","ids":{"openalex":"https://openalex.org/W2161566590","doi":"https://doi.org/10.1109/78.905873","mag":"2161566590"},"language":"en","primary_location":{"id":"doi:10.1109/78.905873","is_oa":false,"landing_page_url":"https://doi.org/10.1109/78.905873","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/A5062576682","display_name":"\u00c9ric Moreau","orcid":"https://orcid.org/0000-0001-7804-4861"},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"E. Moreau","raw_affiliation_strings":["Modelisation et Signal, Institut des Sciences de LIngenieur de Toulon et du Var, La Valette-du-Var, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Modelisation et Signal, Institut des Sciences de LIngenieur de Toulon et du Var, La Valette-du-Var, France","institution_ids":["https://openalex.org/I143002897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062576682"],"corresponding_institution_ids":["https://openalex.org/I143002897"],"apc_list":null,"apc_paid":null,"fwci":8.9671,"has_fulltext":false,"cited_by_count":168,"citation_normalized_percentile":{"value":0.98380105,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"49","issue":"3","first_page":"530","last_page":"541"},"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":0.9905999898910522,"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/blind-signal-separation","display_name":"Blind signal separation","score":0.7473068833351135},{"id":"https://openalex.org/keywords/cumulant","display_name":"Cumulant","score":0.7016723155975342},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6774169206619263},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.635257363319397},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5061735510826111},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48477262258529663},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.4730081856250763},{"id":"https://openalex.org/keywords/higher-order-statistics","display_name":"Higher-order statistics","score":0.4593186378479004},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4528906047344208},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43062782287597656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4288492798805237},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33689242601394653},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.2378683090209961},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17229583859443665},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13493001461029053},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10440289974212646}],"concepts":[{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.7473068833351135},{"id":"https://openalex.org/C172686274","wikidata":"https://www.wikidata.org/wiki/Q746007","display_name":"Cumulant","level":2,"score":0.7016723155975342},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6774169206619263},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.635257363319397},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5061735510826111},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48477262258529663},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.4730081856250763},{"id":"https://openalex.org/C2780576426","wikidata":"https://www.wikidata.org/wiki/Q5757980","display_name":"Higher-order statistics","level":4,"score":0.4593186378479004},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4528906047344208},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43062782287597656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4288492798805237},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33689242601394653},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.2378683090209961},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17229583859443665},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13493001461029053},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10440289974212646},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/78.905873","is_oa":false,"landing_page_url":"https://doi.org/10.1109/78.905873","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1486735449","https://openalex.org/W1943961782","https://openalex.org/W1987748622","https://openalex.org/W1996355918","https://openalex.org/W2050597764","https://openalex.org/W2050616618","https://openalex.org/W2096789154","https://openalex.org/W2099741732","https://openalex.org/W2100308385","https://openalex.org/W2102161668","https://openalex.org/W2102611428","https://openalex.org/W2108372395","https://openalex.org/W2113992915","https://openalex.org/W2115064739","https://openalex.org/W2124757684","https://openalex.org/W2128967371","https://openalex.org/W2142638745","https://openalex.org/W2151834013","https://openalex.org/W2155599429","https://openalex.org/W2155629736","https://openalex.org/W2157050350","https://openalex.org/W2167217202","https://openalex.org/W4285719527","https://openalex.org/W6629232479"],"related_works":["https://openalex.org/W2022749874","https://openalex.org/W2907162295","https://openalex.org/W2003857655","https://openalex.org/W2543302838","https://openalex.org/W2144304265","https://openalex.org/W2010359544","https://openalex.org/W2026563148","https://openalex.org/W1956865565","https://openalex.org/W2145781767","https://openalex.org/W2162241048"],"abstract_inverted_index":{"In":[0,47,109],"the":[1,19,40,52,85,114,136,143,148,159,164,172,185],"field":[2],"of":[3,24,42,44,61,75,113,150,181,187],"blind":[4],"source":[5],"separation,":[6],"joint-diagonalization-based":[7],"approaches":[8],"constitute":[9],"an":[10],"important":[11],"framework,":[12],"leading":[13,54],"to":[14,39,55,59,68,93,119,157],"useful":[15],"algorithms":[16,106],"such":[17],"as":[18,126],"popular":[20],"joint":[21],"approximate":[22],"diagonalization":[23,31],"eigenmatrices":[25],"(JADE)":[26],"and":[27,57,100,140,155],"simultaneous":[28],"third-order":[29],"tensor":[30],"(STOTD)":[32],"algorithms.":[33],"However,":[34],"they":[35],"are":[36,107],"often":[37],"restricted":[38],"case":[41,149],"cumulants":[43,60],"order":[45,63],"four.":[46],"this":[48],"paper,":[49],"we":[50],"extend":[51],"results":[53],"JADE":[56,139],"STOTD":[58,141],"any":[62],"greater":[64],"than":[65],"or":[66],"equal":[67],"three":[69],"by":[70,178],"exhibiting":[71],"a":[72,81,122,127,132],"new":[73,115],"family":[74,116],"contrast":[76,98,112],"functions":[77,99],"that":[78,121],"constitutes":[79],"then":[80],"unified":[82],"framework":[83],"for":[84,135,184],"above":[86],"known":[87],"results.":[88],"This":[89],"also":[90,131],"leads":[91],"us":[92,118],"generalize":[94],"some":[95,168],"links":[96],"between":[97],"joint-diagonalization":[101,186],"criteria":[102],"on":[103],"which":[104],"these":[105],"based.":[108],"turn,":[110],"one":[111,175],"allows":[117],"show":[120],"function":[123],"previously":[124],"proposed":[125],"separation":[128],"criterion":[129],"is":[130,153],"contrast.":[133],"Moreover,":[134],"two":[137,151],"generalized":[138],"contrasts,":[142],"analytical":[144],"optimal":[145],"solution":[146],"in":[147],"sources":[152],"derived":[154],"shown":[156],"keep":[158],"same":[160],"simple":[161],"expression,":[162],"whatever":[163],"cumulant":[165,188],"order.":[166],"Finally,":[167],"computer":[169],"simulations":[170],"illustrate":[171],"potential":[173],"advantage":[174],"can":[176],"take":[177],"considering":[179],"statistics":[180],"different":[182],"orders":[183],"matrices.":[189]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}