{"id":"https://openalex.org/W2146681181","doi":"https://doi.org/10.1109/tsp.2011.2141667","title":"A Fast Algorithm for Nonunitary Joint Diagonalization and Its Application to Blind Source Separation","display_name":"A Fast Algorithm for Nonunitary Joint Diagonalization and Its Application to Blind Source Separation","publication_year":2011,"publication_date":"2011-04-12","ids":{"openalex":"https://openalex.org/W2146681181","doi":"https://doi.org/10.1109/tsp.2011.2141667","mag":"2146681181"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.2141667","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2141667","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/A5040327991","display_name":"Xianfeng Xu","orcid":"https://orcid.org/0000-0002-4839-9634"},"institutions":[{"id":"https://openalex.org/I25355098","display_name":"Chang'an University","ror":"https://ror.org/05mxya461","country_code":"CN","type":"education","lineage":["https://openalex.org/I25355098"]},{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xian-Feng Xu","raw_affiliation_strings":["National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China","School of Electronic and Control Engineering, Chang'an University, Xi'an, China","Nat. Lab. of Radar Signal Process., Xidian Univ., Xi'an, China#TAB#"],"affiliations":[{"raw_affiliation_string":"National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Electronic and Control Engineering, Chang'an University, Xi'an, China","institution_ids":["https://openalex.org/I25355098"]},{"raw_affiliation_string":"Nat. Lab. of Radar Signal Process., Xidian Univ., Xi'an, China#TAB#","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020544206","display_name":"Da\u2010Zheng Feng","orcid":"https://orcid.org/0000-0002-0168-8340"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Da-Zheng Feng","raw_affiliation_strings":["National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China","Nat. Lab. of Radar Signal Process., Xidian Univ., Xi'an, China#TAB#"],"affiliations":[{"raw_affiliation_string":"National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Nat. Lab. of Radar Signal Process., Xidian Univ., Xi'an, China#TAB#","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108050907","display_name":"Wei Xing Zheng","orcid":"https://orcid.org/0000-0002-0572-5938"},"institutions":[{"id":"https://openalex.org/I63525965","display_name":"Western Sydney University","ror":"https://ror.org/03t52dk35","country_code":"AU","type":"education","lineage":["https://openalex.org/I63525965"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Wei Xing Zheng","raw_affiliation_strings":["School of Computing and Mathematics, University of Western Ontario, Penrith, NSW, Australia","Sch. of Comput. & Math., Univ. of Western Sydney, Penrith, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Western Ontario, Penrith, NSW, Australia","institution_ids":["https://openalex.org/I63525965"]},{"raw_affiliation_string":"Sch. of Comput. & Math., Univ. of Western Sydney, Penrith, NSW, Australia","institution_ids":["https://openalex.org/I63525965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040327991"],"corresponding_institution_ids":["https://openalex.org/I149594827","https://openalex.org/I25355098"],"apc_list":null,"apc_paid":null,"fwci":2.7561,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.91363364,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"59","issue":"7","first_page":"3457","last_page":"3463"},"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":0.9907000064849854,"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":0.9825000166893005,"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":0.9063594341278076},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.6215864419937134},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6207653284072876},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.600433886051178},{"id":"https://openalex.org/keywords/independent-component-analysis","display_name":"Independent component analysis","score":0.5428524017333984},{"id":"https://openalex.org/keywords/source-separation","display_name":"Source separation","score":0.5364201068878174},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4810812175273895},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.40943223237991333},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38171958923339844},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3492197096347809},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3258393406867981},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.14832252264022827},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13192057609558105}],"concepts":[{"id":"https://openalex.org/C120317606","wikidata":"https://www.wikidata.org/wiki/Q17105967","display_name":"Blind signal separation","level":3,"score":0.9063594341278076},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.6215864419937134},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6207653284072876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.600433886051178},{"id":"https://openalex.org/C51432778","wikidata":"https://www.wikidata.org/wiki/Q1259145","display_name":"Independent component analysis","level":2,"score":0.5428524017333984},{"id":"https://openalex.org/C2776864781","wikidata":"https://www.wikidata.org/wiki/Q52617913","display_name":"Source separation","level":2,"score":0.5364201068878174},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4810812175273895},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.40943223237991333},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38171958923339844},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3492197096347809},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3258393406867981},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.14832252264022827},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13192057609558105},{"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/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2011.2141667","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2141667","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1989581163","https://openalex.org/W2095950579","https://openalex.org/W2106191748","https://openalex.org/W2112220340","https://openalex.org/W2114493976","https://openalex.org/W2124757684","https://openalex.org/W2142638745","https://openalex.org/W2142975003","https://openalex.org/W2144935618","https://openalex.org/W2154488158","https://openalex.org/W2158120478","https://openalex.org/W2158218920","https://openalex.org/W6681158929"],"related_works":["https://openalex.org/W2390344110","https://openalex.org/W2046761971","https://openalex.org/W2107364365","https://openalex.org/W2118307209","https://openalex.org/W1785857632","https://openalex.org/W4281722104","https://openalex.org/W2187523794","https://openalex.org/W2553224454","https://openalex.org/W2362299104","https://openalex.org/W1503525627"],"abstract_inverted_index":{"A":[0],"fast":[1],"algorithm,":[2],"named":[3],"Complex-Valued":[4],"Fast":[5],"Frobenius":[6],"DIAGonalization":[7],"(CVFFDIAG),":[8],"is":[9,53],"proposed":[10,107],"for":[11],"seeking":[12],"the":[13,33,37,58,61,69,79,83,86,93,101,106,118],"nonunitary":[14],"approximate":[15,38],"joint":[16,39],"diagonalizer":[17],"of":[18,22,36,44,60,82,89,96,105,117],"a":[19,28,47],"given":[20],"set":[21],"complex-valued":[23],"target":[24,70],"matrices.":[25],"It":[26],"adopts":[27],"multiplicative":[29,45],"update":[30],"to":[31,100,113],"minimize":[32],"Frobenius-norm":[34],"formulation":[35],"diagonalization":[40],"problem.":[41],"At":[42],"each":[43],"iterations,":[46],"strictly":[48],"diagonally":[49],"dominant":[50],"updated":[51],"matrix":[52],"obtained.":[54],"This":[55],"scheme":[56],"ensures":[57],"invertibility":[59],"diagonalizer.":[62],"The":[63],"CVFFDIAG":[64],"relaxes":[65],"several":[66],"constraints":[67],"on":[68],"matrices":[71],"and":[72,92],"thus":[73],"has":[74],"much":[75],"general":[76],"applications.":[77],"Furthermore,":[78],"special":[80],"approximation":[81],"cost":[84],"function,":[85],"ingenious":[87],"utilization":[88],"some":[90],"structures":[91],"adequate":[94],"notation":[95],"concerned":[97],"variables":[98],"lead":[99],"high":[102],"computational":[103],"efficiency":[104],"algorithm.":[108],"Numerical":[109],"simulations":[110],"are":[111],"conducted":[112],"illustrate":[114],"good":[115],"performances":[116],"CVFFDIAG.":[119]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
