{"id":"https://openalex.org/W2964056412","doi":"https://doi.org/10.1109/tsp.2020.3022827","title":"Cram\u00e9r\u2013Rao Bounds for Complex-Valued Independent Component Extraction: Determined and Piecewise Determined Mixing Models","display_name":"Cram\u00e9r\u2013Rao Bounds for Complex-Valued Independent Component Extraction: Determined and Piecewise Determined Mixing Models","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2964056412","doi":"https://doi.org/10.1109/tsp.2020.3022827","mag":"2964056412"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2020.3022827","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3022827","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.08790","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066677388","display_name":"V\u00e1clav Kautsk\u00fd","orcid":"https://orcid.org/0000-0002-7042-0858"},"institutions":[{"id":"https://openalex.org/I147009085","display_name":"Technical University of Liberec","ror":"https://ror.org/02jtk7k02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I147009085"]},{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Vaclav Kautsky","raw_affiliation_strings":["Faculty of Mechatronics, Informatics, and Interdisciplinary Studies, Technical University of Liberec, Liberec, Czech Republic","Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Prague, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0002-7042-0858","affiliations":[{"raw_affiliation_string":"Faculty of Mechatronics, Informatics, and Interdisciplinary Studies, Technical University of Liberec, Liberec, Czech Republic","institution_ids":["https://openalex.org/I147009085"]},{"raw_affiliation_string":"Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040855107","display_name":"Zbyn\u011bk Koldovsk\u00fd","orcid":"https://orcid.org/0000-0002-1791-5675"},"institutions":[{"id":"https://openalex.org/I147009085","display_name":"Technical University of Liberec","ror":"https://ror.org/02jtk7k02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I147009085"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Zbynek Koldovsky","raw_affiliation_strings":["Faculty of Mechatronics, Informatics, and Interdisciplinary Studies, Technical University of Liberec, Liberec, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0002-1791-5675","affiliations":[{"raw_affiliation_string":"Faculty of Mechatronics, Informatics, and Interdisciplinary Studies, Technical University of Liberec, Liberec, Czech Republic","institution_ids":["https://openalex.org/I147009085"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076229848","display_name":"Petr Tichavsk\u00fd","orcid":"https://orcid.org/0000-0003-0621-4766"},"institutions":[{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Petr Tichavsky","raw_affiliation_strings":["Czech Academy of Sciences, Institute of Information Theory and Automation, Prague 8, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0003-0621-4766","affiliations":[{"raw_affiliation_string":"Czech Academy of Sciences, Institute of Information Theory and Automation, Prague 8, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047373327","display_name":"Vicente Zarzoso","orcid":"https://orcid.org/0000-0001-9286-1163"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vicente Zarzoso","raw_affiliation_strings":["I3S Laboratory, Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, Sophia Antipolis, France","I3S Laboratory, Universit\u00e9 C\u00f4te d'Azur, CNRS, Sophia Antipolis, France"],"raw_orcid":"https://orcid.org/0000-0001-9286-1163","affiliations":[{"raw_affiliation_string":"I3S Laboratory, Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, Sophia Antipolis, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"I3S Laboratory, Universit\u00e9 C\u00f4te d'Azur, CNRS, Sophia Antipolis, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5066677388"],"corresponding_institution_ids":["https://openalex.org/I147009085","https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":1.8233,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85248255,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"68","issue":null,"first_page":"5230","last_page":"5243"},"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":0.9921000003814697,"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"}},{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9732000231742859,"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/cram\u00e9r\u2013rao-bound","display_name":"Cram\u00e9r\u2013Rao bound","score":0.8286663293838501},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7570182681083679},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.7002432346343994},{"id":"https://openalex.org/keywords/independent-component-analysis","display_name":"Independent component analysis","score":0.6625847816467285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6312795877456665},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5668401718139648},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4555772840976715},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43123048543930054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39906609058380127},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.333160936832428},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2731684446334839},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18663722276687622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17919254302978516},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13691091537475586}],"concepts":[{"id":"https://openalex.org/C4978587","wikidata":"https://www.wikidata.org/wiki/Q1138810","display_name":"Cram\u00e9r\u2013Rao bound","level":3,"score":0.8286663293838501},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7570182681083679},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.7002432346343994},{"id":"https://openalex.org/C51432778","wikidata":"https://www.wikidata.org/wiki/Q1259145","display_name":"Independent component analysis","level":2,"score":0.6625847816467285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6312795877456665},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5668401718139648},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4555772840976715},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43123048543930054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39906609058380127},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.333160936832428},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2731684446334839},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18663722276687622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17919254302978516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13691091537475586},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2020.3022827","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3022827","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:arXiv.org:1907.08790","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.08790","pdf_url":"https://arxiv.org/pdf/1907.08790","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-03563610v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03563610","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, 2020, 68, pp.5230-5243. &#x27E8;10.1109/TSP.2020.3022827&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1907.08790","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.08790","pdf_url":"https://arxiv.org/pdf/1907.08790","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G640046231","display_name":null,"funder_award_id":"SGS18/188/OHK4/3T/14","funder_id":"https://openalex.org/F4320338298","funder_display_name":"Office of Naval Research Global"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320338298","display_name":"Office of Naval Research Global","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W1489793438","https://openalex.org/W1548802052","https://openalex.org/W1582893002","https://openalex.org/W1596607002","https://openalex.org/W1637922873","https://openalex.org/W1755563775","https://openalex.org/W1964204554","https://openalex.org/W1974647903","https://openalex.org/W1977067929","https://openalex.org/W1987906574","https://openalex.org/W1989860410","https://openalex.org/W1994995468","https://openalex.org/W2027884847","https://openalex.org/W2032665768","https://openalex.org/W2055637322","https://openalex.org/W2056423366","https://openalex.org/W2056716724","https://openalex.org/W2071896649","https://openalex.org/W2076198712","https://openalex.org/W2077626982","https://openalex.org/W2091909564","https://openalex.org/W2096855653","https://openalex.org/W2099111195","https://openalex.org/W2099741732","https://openalex.org/W2108993730","https://openalex.org/W2110476671","https://openalex.org/W2112220340","https://openalex.org/W2119647652","https://openalex.org/W2124195644","https://openalex.org/W2128967371","https://openalex.org/W2131436045","https://openalex.org/W2133069808","https://openalex.org/W2136424517","https://openalex.org/W2139457438","https://openalex.org/W2140638323","https://openalex.org/W2143646747","https://openalex.org/W2145456306","https://openalex.org/W2145624369","https://openalex.org/W2149709356","https://openalex.org/W2153909896","https://openalex.org/W2154021490","https://openalex.org/W2158378650","https://openalex.org/W2166288622","https://openalex.org/W2170768669","https://openalex.org/W2180445599","https://openalex.org/W2242568341","https://openalex.org/W2344461865","https://openalex.org/W2412956798","https://openalex.org/W2478708596","https://openalex.org/W2765844457","https://openalex.org/W2771998460","https://openalex.org/W2792387430","https://openalex.org/W2804917410","https://openalex.org/W2806730552","https://openalex.org/W2913406796","https://openalex.org/W2940109416","https://openalex.org/W2951431217","https://openalex.org/W3043573050","https://openalex.org/W3100792434","https://openalex.org/W3103391113","https://openalex.org/W4205778870","https://openalex.org/W4211083646","https://openalex.org/W4238957295","https://openalex.org/W4300989551","https://openalex.org/W4362515305","https://openalex.org/W6679756777"],"related_works":["https://openalex.org/W2121429698","https://openalex.org/W1479746946","https://openalex.org/W2143803213","https://openalex.org/W2055757274","https://openalex.org/W2511739151","https://openalex.org/W2155014562","https://openalex.org/W2134404114","https://openalex.org/W1964936841","https://openalex.org/W2026659681","https://openalex.org/W2185708237"],"abstract_inverted_index":{"Blind":[0],"source":[1,9,51,176],"extraction":[2,95],"(BSE)":[3],"aims":[4],"at":[5],"recovering":[6],"an":[7],"unknown":[8],"signal":[10,42],"of":[11,16,20,45,111,190],"interest":[12],"from":[13,150],"the":[14,21,31,37,40,46,61,78,86,90,109,120,129,136,144,165,169,174,183,188,198],"observation":[15],"instantaneous":[17],"linear":[18],"mixtures":[19],"sources.":[22],"This":[23,154],"paper":[24],"presents":[25],"Cram\u00e9r-Rao":[26],"lower":[27],"bounds":[28],"(CRLB)":[29],"for":[30,77,85,92,103,158,187,197],"complex-valued":[32],"BSE":[33,199],"problem":[34],"based":[35],"on":[36],"assumption":[38],"that":[39,102],"target":[41,50,175],"is":[43,52,97,113,177],"independent":[44,93,104],"other":[47,62],"signals.":[48],"The":[49,70,185],"assumed":[53,133,178],"to":[54,99,123,134,152,173,179],"be":[55,148,180],"non-Gaussian":[56],"or":[57,68,168],"non-circular":[58],"Gaussian":[59,67],"while":[60],"signals":[63,131],"(background)":[64],"are":[65,132],"circular":[66],"non-Gaussian.":[69],"results":[71,84],"confirm":[72],"some":[73],"previous":[74],"observations":[75],"known":[76],"real":[79],"domain":[80],"and":[81],"yield":[82],"new":[83,194],"complex":[87],"domain.":[88],"Also,":[89],"CRLB":[91,121],"component":[94,105],"(ICE)":[96],"shown":[98],"coincide":[100],"with":[101],"analysis":[106,122],"(ICA)":[107],"when":[108,160],"non-Gaussianity":[110],"background":[112],"taken":[114],"into":[115],"account.":[116],"Second,":[117],"we":[118],"extend":[119],"piecewise":[124],"determined":[125,137],"mixing":[126,138,145,166],"models,":[127],"where":[128,143],"observed":[130],"obey":[135],"model":[139,155],"within":[140],"short":[141],"blocks":[142],"matrices":[146],"can":[147],"varying":[149],"block":[151],"block.":[153],"has":[156],"applications,":[157],"instance,":[159],"separating":[161,170],"dynamic":[162],"mixtures.":[163],"Either":[164],"vector":[167,171],"corresponding":[172],"constant":[181],"across":[182],"blocks.":[184],"CRLBs":[186],"parameters":[189],"these":[191],"models":[192],"bring":[193],"performance":[195],"limits":[196],"problem.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-07-30T00:00:00"}
