{"id":"https://openalex.org/W2133454962","doi":"https://doi.org/10.1109/tsp.2009.2031731","title":"Blind Underdetermined Mixture Identification by Joint Canonical Decomposition of HO Cumulants","display_name":"Blind Underdetermined Mixture Identification by Joint Canonical Decomposition of HO Cumulants","publication_year":2009,"publication_date":"2009-09-11","ids":{"openalex":"https://openalex.org/W2133454962","doi":"https://doi.org/10.1109/tsp.2009.2031731","mag":"2133454962"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2009.2031731","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2031731","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-00593307","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061193533","display_name":"Ahmad Karfoul","orcid":"https://orcid.org/0000-0002-3977-9141"},"institutions":[{"id":"https://openalex.org/I4210105651","display_name":"Laboratoire Traitement du Signal et de l'Image","ror":"https://ror.org/01f1amm71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I154526488","https://openalex.org/I4210105651","https://openalex.org/I4210105774","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Karfoul","raw_affiliation_strings":["LTSI, University of Rennes I, Rennes, France","LTSI, Univ. de Rennes 1, Rennes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LTSI, University of Rennes I, Rennes, France","institution_ids":["https://openalex.org/I4210105651","https://openalex.org/I56067802"]},{"raw_affiliation_string":"LTSI, Univ. de Rennes 1, Rennes, France","institution_ids":["https://openalex.org/I4210105651","https://openalex.org/I56067802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015307055","display_name":"Laurent Albera","orcid":"https://orcid.org/0000-0002-2109-5649"},"institutions":[{"id":"https://openalex.org/I4210105651","display_name":"Laboratoire Traitement du Signal et de l'Image","ror":"https://ror.org/01f1amm71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I154526488","https://openalex.org/I4210105651","https://openalex.org/I4210105774","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"L. Albera","raw_affiliation_strings":["LTSI, University of Rennes I, Rennes, France","LTSI, Univ. de Rennes 1, Rennes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LTSI, University of Rennes I, Rennes, France","institution_ids":["https://openalex.org/I4210105651","https://openalex.org/I56067802"]},{"raw_affiliation_string":"LTSI, Univ. de Rennes 1, Rennes, France","institution_ids":["https://openalex.org/I4210105651","https://openalex.org/I56067802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019483216","display_name":"Gw\u00e9na\u00ebl Birot","orcid":null},"institutions":[{"id":"https://openalex.org/I4210105651","display_name":"Laboratoire Traitement du Signal et de l'Image","ror":"https://ror.org/01f1amm71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I154526488","https://openalex.org/I4210105651","https://openalex.org/I4210105774","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"G. Birot","raw_affiliation_strings":["LTSI, University of Rennes I, Rennes, France","LTSI, Univ. de Rennes 1, Rennes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LTSI, University of Rennes I, Rennes, France","institution_ids":["https://openalex.org/I4210105651","https://openalex.org/I56067802"]},{"raw_affiliation_string":"LTSI, Univ. de Rennes 1, Rennes, France","institution_ids":["https://openalex.org/I4210105651","https://openalex.org/I56067802"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7984,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.84818097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"58","issue":"2","first_page":"638","last_page":"649"},"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9817000031471252,"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/identifiability","display_name":"Identifiability","score":0.6661916375160217},{"id":"https://openalex.org/keywords/underdetermined-system","display_name":"Underdetermined system","score":0.6420799493789673},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5506680011749268},{"id":"https://openalex.org/keywords/blind-signal-separation","display_name":"Blind signal separation","score":0.4949619174003601},{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.4561670422554016},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.43938109278678894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4392589330673218},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41726452112197876},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4103567898273468},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3466963768005371},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13424614071846008},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.13064250349998474},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11114871501922607}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.6661916375160217},{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.6420799493789673},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5506680011749268},{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.4949619174003601},{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.4561670422554016},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.43938109278678894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4392589330673218},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41726452112197876},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4103567898273468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3466963768005371},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13424614071846008},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.13064250349998474},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11114871501922607},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2009.2031731","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2031731","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"},{"id":"pmh:oai:HAL:hal-00593307v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00593307","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing, 2010, 58 (2), pp.638-649. ⟨10.1109/TSP.2009.2031731⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00593307v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00593307","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing, 2010, 58 (2), pp.638-649. ⟨10.1109/TSP.2009.2031731⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4510835956","display_name":"Decompositions Tensorielles et applications","funder_award_id":"ANR-06-BLAN-0074","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W137381930","https://openalex.org/W1548802052","https://openalex.org/W1829104591","https://openalex.org/W1971274817","https://openalex.org/W1983821361","https://openalex.org/W1995963238","https://openalex.org/W1996355918","https://openalex.org/W2013912476","https://openalex.org/W2024166170","https://openalex.org/W2035146430","https://openalex.org/W2039748980","https://openalex.org/W2042353857","https://openalex.org/W2043196846","https://openalex.org/W2044777402","https://openalex.org/W2057503509","https://openalex.org/W2062441527","https://openalex.org/W2068532527","https://openalex.org/W2069232849","https://openalex.org/W2099741732","https://openalex.org/W2101641981","https://openalex.org/W2102382015","https://openalex.org/W2103589531","https://openalex.org/W2105569191","https://openalex.org/W2108178038","https://openalex.org/W2108384452","https://openalex.org/W2108993730","https://openalex.org/W2112335201","https://openalex.org/W2113992915","https://openalex.org/W2122393449","https://openalex.org/W2124431883","https://openalex.org/W2124757684","https://openalex.org/W2131911936","https://openalex.org/W2139457438","https://openalex.org/W2142638745","https://openalex.org/W2145781767","https://openalex.org/W2147544992","https://openalex.org/W2147757279","https://openalex.org/W2148372454","https://openalex.org/W2150059498","https://openalex.org/W2150972651","https://openalex.org/W2154021490","https://openalex.org/W2154511091","https://openalex.org/W2156985756","https://openalex.org/W2158218920","https://openalex.org/W2158684990","https://openalex.org/W2161566590","https://openalex.org/W2163246442","https://openalex.org/W2166288622","https://openalex.org/W2170668800","https://openalex.org/W2337490104","https://openalex.org/W3100792434","https://openalex.org/W4205778870","https://openalex.org/W4232492049"],"related_works":["https://openalex.org/W4297960547","https://openalex.org/W2081047164","https://openalex.org/W2095924515","https://openalex.org/W2383973401","https://openalex.org/W2351680970","https://openalex.org/W2030887432","https://openalex.org/W2034312940","https://openalex.org/W2206857820","https://openalex.org/W2375962929","https://openalex.org/W2900617041"],"abstract_inverted_index":{"A":[0],"new":[1],"family":[2],"of":[3,16,28,36,49,99,126,147,151,160,174,181,183],"cumulant-based":[4,85],"algorithms":[5,21,120],"is":[6],"proposed":[7,61],"in":[8,47],"order":[9,31],"to":[10,66,74,77,115,157,170,178],"blindly":[11],"identify":[12],"potentially":[13],"underdetermined":[14],"mixtures":[15],"statistically":[17],"independent":[18],"sources.":[19],"These":[20,43],"perform":[22],"a":[23,34,37,56,68,89,133,148,168],"joint":[24,149],"canonical":[25],"decomposition":[26],"(CAND)":[27],"several":[29,100,152,184],"higher":[30],"cumulants":[32],"through":[33],"CAND":[35,119,150,159],"three-way":[38,103,129],"array":[39,104,176],"with":[40,95],"special":[41],"symmetries.":[42],"techniques":[44],"are":[45,63],"studied":[46],"terms":[48],"identifiability,":[50],"performance":[51],"and":[52,72],"numerical":[53,90],"complexity.":[54],"From":[55],"signal":[57],"processing":[58],"viewpoint,":[59,92],"the":[60,82,96,108,117,124,127,137,145,158,172,179],"methods":[62],"shown":[64],"i)":[65],"have":[67],"better":[69],"estimation":[70],"resolution":[71],"ii)":[73],"be":[75],"able":[76],"process":[78],"more":[79],"sources":[80],"than":[81],"other":[83],"classical":[84],"techniques.":[86],"Second,":[87],"from":[88,132],"analysis":[91],"we":[93],"deal":[94],"convergence":[97],"speed":[98],"procedures":[101],"for":[102],"decomposition,":[105],"such":[106],"as":[107,167],"ACDC":[109],"scheme.":[110],"We":[111],"also":[112],"show":[113],"how":[114],"accelerate":[116],"iterative":[118],"by":[121],"using":[122],"differently":[123],"symmetries":[125],"considered":[128],"array.":[130,163],"Next,":[131],"multilinear":[134],"algebra":[135],"viewpoint":[136],"paper":[138],"aims":[139],"at":[140],"giving":[141],"some":[142],"insights":[143],"on":[144],"uniqueness":[146],"Hermitian":[153],"multiway":[154],"arrays":[155],"compared":[156],"only":[161],"one":[162],"This":[164],"allows":[165],"us,":[166],"result,":[169],"extend":[171],"concept":[173],"virtual":[175],"(VA)":[177],"case":[180],"combination":[182],"VAs.":[185]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}