{"id":"https://openalex.org/W2155599429","doi":"https://doi.org/10.1109/97.554471","title":"A least-squares approach to joint diagonalization","display_name":"A least-squares approach to joint diagonalization","publication_year":1997,"publication_date":"1997-02-01","ids":{"openalex":"https://openalex.org/W2155599429","doi":"https://doi.org/10.1109/97.554471","mag":"2155599429"},"language":"en","primary_location":{"id":"doi:10.1109/97.554471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/97.554471","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5061391617","display_name":"M. Wax","orcid":"https://orcid.org/0000-0002-4057-8478"},"institutions":[{"id":"https://openalex.org/I16362100","display_name":"Rafael Advanced Defense Systems (Israel)","ror":"https://ror.org/016mey390","country_code":"IL","type":"company","lineage":["https://openalex.org/I16362100"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"M. Wax","raw_affiliation_strings":["RAFAEL Advanced Defense Systems Limited, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RAFAEL Advanced Defense Systems Limited, Haifa, Israel","institution_ids":["https://openalex.org/I16362100"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076668194","display_name":"J. Sheinvald","orcid":null},"institutions":[{"id":"https://openalex.org/I16362100","display_name":"Rafael Advanced Defense Systems (Israel)","ror":"https://ror.org/016mey390","country_code":"IL","type":"company","lineage":["https://openalex.org/I16362100"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"J. Sheinvald","raw_affiliation_strings":["RAFAEL Advanced Defense Systems Limited, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RAFAEL Advanced Defense Systems Limited, Haifa, Israel","institution_ids":["https://openalex.org/I16362100"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9822,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.92321755,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"4","issue":"2","first_page":"52","last_page":"53"},"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":0.9994999766349792,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9975000023841858,"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/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.6791177988052368},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.5722109079360962},{"id":"https://openalex.org/keywords/joint","display_name":"Joint (building)","score":0.571434497833252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4788360893726349},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4467405676841736},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.4450572431087494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41206058859825134},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36379101872444153},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3592921495437622},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3096272349357605},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20682740211486816},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18221113085746765}],"concepts":[{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.6791177988052368},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.5722109079360962},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.571434497833252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4788360893726349},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4467405676841736},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.4450572431087494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41206058859825134},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36379101872444153},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3592921495437622},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3096272349357605},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20682740211486816},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18221113085746765},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/97.554471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/97.554471","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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":8,"referenced_works":["https://openalex.org/W1838852802","https://openalex.org/W2020524619","https://openalex.org/W2099741732","https://openalex.org/W2114018052","https://openalex.org/W2123694204","https://openalex.org/W2124757684","https://openalex.org/W2154097842","https://openalex.org/W2157050350"],"related_works":["https://openalex.org/W2963170046","https://openalex.org/W2376244802","https://openalex.org/W2923631784","https://openalex.org/W818226659","https://openalex.org/W4311414679","https://openalex.org/W3124036039","https://openalex.org/W2130785056","https://openalex.org/W2132841313","https://openalex.org/W2727286692","https://openalex.org/W1970775648"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2],"new":[3],"least-squares-based":[4],"approach":[5],"for":[6],"the":[7,47,53],"joint":[8],"diagonalization":[9],"problem":[10],"arising":[11],"in":[12,52],"blind":[13],"beamforming.":[14],"The":[15],"resulting":[16],"estimation":[17],"criterion":[18,51],"turns":[19],"out":[20],"to":[21],"coincide":[22],"with":[23],"that":[24],"proposed":[25],"by":[26],"Cardoso":[27],"and":[28],"Souloumaic":[29],"(see":[30],"IEE":[31],"Proc.":[32],"F,":[33],"Radar":[34],"Signal":[35],"Process.,":[36],"vol.140,":[37],"no.6,":[38],"p.362-70,":[39],"Dec.":[40],"1993)":[41],"on":[42],"intuitive":[43],"grounds,":[44],"thus":[45],"establishing":[46],"optimality":[48],"of":[49],"their":[50],"least-squares":[54],"(LS)":[55],"sense.":[56]},"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":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}