{"id":"https://openalex.org/W2085217330","doi":"https://doi.org/10.1155/2008/480835","title":"About Noneigenvector Source Localization Methods","display_name":"About Noneigenvector Source Localization Methods","publication_year":2008,"publication_date":"2008-05-26","ids":{"openalex":"https://openalex.org/W2085217330","doi":"https://doi.org/10.1155/2008/480835","mag":"2085217330"},"language":"en","primary_location":{"id":"doi:10.1155/2008/480835","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/480835","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2008/480835","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2008/480835","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109863626","display_name":"Salah Bourennane","orcid":null},"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/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786"]},{"id":"https://openalex.org/I4210125985","display_name":"Institut Fresnel","ror":"https://ror.org/03br1wy20","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210095849","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"S. Bourennane","raw_affiliation_strings":["Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Campus de Saint J\u00e9r\u00f4me, 13397, Marseille Cedex 20, France","Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Marseille Cedex 20, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Campus de Saint J\u00e9r\u00f4me, 13397, Marseille Cedex 20, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]},{"raw_affiliation_string":"Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Marseille Cedex 20, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I216852786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066425527","display_name":"Caroline Fossati","orcid":null},"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/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786"]},{"id":"https://openalex.org/I4210125985","display_name":"Institut Fresnel","ror":"https://ror.org/03br1wy20","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210095849","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C. Fossati","raw_affiliation_strings":["Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Campus de Saint J\u00e9r\u00f4me, 13397, Marseille Cedex 20, France","Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Marseille Cedex 20, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Campus de Saint J\u00e9r\u00f4me, 13397, Marseille Cedex 20, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]},{"raw_affiliation_string":"Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Marseille Cedex 20, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I216852786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107093585","display_name":"Julien Marot","orcid":"https://orcid.org/0000-0002-8793-816X"},"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/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786"]},{"id":"https://openalex.org/I4210125985","display_name":"Institut Fresnel","ror":"https://ror.org/03br1wy20","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210095849","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. Marot","raw_affiliation_strings":["Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Campus de Saint J\u00e9r\u00f4me, 13397, Marseille Cedex 20, France","Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Marseille Cedex 20, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Campus de Saint J\u00e9r\u00f4me, 13397, Marseille Cedex 20, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210125985","https://openalex.org/I4210142724"]},{"raw_affiliation_string":"Ecole Centrale Marseille, Institut Fresnel, UMR 6133 CNRS, Universit\u00e9s Aix Marseille, Marseille Cedex 20, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I216852786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109863626"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I216852786","https://openalex.org/I4210125985","https://openalex.org/I4210142724"],"apc_list":{"value":1665,"currency":"USD","value_usd":1665},"apc_paid":{"value":1665,"currency":"USD","value_usd":1665},"fwci":0.6803,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.7288926,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2008","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9993000030517578,"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":0.9991999864578247,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6712416410446167},{"id":"https://openalex.org/keywords/eigendecomposition-of-a-matrix","display_name":"Eigendecomposition of a matrix","score":0.6708174347877502},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6515761613845825},{"id":"https://openalex.org/keywords/power-iteration","display_name":"Power iteration","score":0.5434617400169373},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5357738137245178},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5093573331832886},{"id":"https://openalex.org/keywords/propagator","display_name":"Propagator","score":0.49615296721458435},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4545400142669678},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4478071630001068},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4338362216949463},{"id":"https://openalex.org/keywords/noise-power","display_name":"Noise power","score":0.4206307530403137},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3775521218776703},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.24226096272468567},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.1729380190372467},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11446726322174072},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06666311621665955}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6712416410446167},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.6708174347877502},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6515761613845825},{"id":"https://openalex.org/C162443888","wikidata":"https://www.wikidata.org/wiki/Q1426504","display_name":"Power iteration","level":3,"score":0.5434617400169373},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5357738137245178},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5093573331832886},{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.49615296721458435},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4545400142669678},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4478071630001068},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4338362216949463},{"id":"https://openalex.org/C203234222","wikidata":"https://www.wikidata.org/wiki/Q2133519","display_name":"Noise power","level":3,"score":0.4206307530403137},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3775521218776703},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.24226096272468567},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.1729380190372467},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11446726322174072},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06666311621665955},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"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":2,"locations":[{"id":"doi:10.1155/2008/480835","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/480835","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2008/480835","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d28598f75e754d9b91aa8805a32765cc","is_oa":true,"landing_page_url":"https://doaj.org/article/d28598f75e754d9b91aa8805a32765cc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2008 (2008)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2008/480835","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/480835","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2008/480835","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4000000059604645,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2085217330.pdf","grobid_xml":"https://content.openalex.org/works/W2085217330.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1969803206","https://openalex.org/W1970070532","https://openalex.org/W1980191636","https://openalex.org/W2007871293","https://openalex.org/W2008205484","https://openalex.org/W2012270713","https://openalex.org/W2013442644","https://openalex.org/W2019502123","https://openalex.org/W2021604182","https://openalex.org/W2042143333","https://openalex.org/W2054658115","https://openalex.org/W2058072244","https://openalex.org/W2061947398","https://openalex.org/W2072131131","https://openalex.org/W2075355246","https://openalex.org/W2080115549","https://openalex.org/W2087543940","https://openalex.org/W2089971889","https://openalex.org/W2090022420","https://openalex.org/W2096217494","https://openalex.org/W2097670707","https://openalex.org/W2108617900","https://openalex.org/W2113638573","https://openalex.org/W2114458102","https://openalex.org/W2133884101","https://openalex.org/W2134454043","https://openalex.org/W2134609006","https://openalex.org/W2143514402"],"related_works":["https://openalex.org/W2383442806","https://openalex.org/W2289858865","https://openalex.org/W2150953077","https://openalex.org/W2110126483","https://openalex.org/W2112519774","https://openalex.org/W2548342391","https://openalex.org/W4287208482","https://openalex.org/W3168156488","https://openalex.org/W2114157553","https://openalex.org/W4313156156"],"abstract_inverted_index":{"Previous":[0],"studies":[1],"dedicated":[2],"to":[3,88,104,160,182],"source":[4],"localization":[5],"are":[6,34,81,123],"based":[7,35,44],"on":[8,36,45],"the":[9,46,66,111,139,147,162,173,185,190,193],"spectral":[10,37,47,67,148],"matrix":[11,38,48,68,149],"algebraic":[12],"properties.":[13],"In":[14,131],"particular,":[15],"two":[16],"noneigenvector":[17],"methods,":[18],"namely,":[19],"propagator":[20,100],"and":[21,23,69,119,143,153],"Ermolaev":[22],"Gershman":[24],"(EG)":[25],"algorithms,":[26],"exhibit":[27],"a":[28,71,114,157,166,197],"low":[29],"computational":[30,163],"load.":[31],"Both":[32],"methods":[33,152,195],"structure.":[39],"The":[40,50],"first":[41],"method":[42],"is":[43,101,128],"partitioning.":[49],"second":[51],"one":[52],"obtains":[53],"directly":[54],"an":[55,61],"approximation":[56],"of":[57,65,113,141,146,165,192],"noise":[58,89],"subspace":[59],"using":[60],"adjustable":[62],"power":[63],"parameter":[64],"choosing":[70],"threshold":[72,115],"value.":[73],"It":[74],"has":[75],"been":[76],"shown":[77],"that":[78,109],"these":[79,151],"algorithms":[80,95],"efficient":[82],"in":[83],"nonnoisy":[84],"or":[85],"high":[86,167],"signal":[87],"ratio":[90],"(SNR)":[91],"environments.":[92],"However,":[93],"both":[94],"will":[96],"be":[97],"improved.":[98],"Firstly,":[99],"not":[102,124,129],"robust":[103],"noise.":[105],"Secondly,":[106],"EG":[107],"algorithm":[108,169,181],"requires":[110],"knowledge":[112],"value":[116],"between":[117],"largest":[118],"smallest":[120],"eigenvalues,":[121],"which":[122],"available":[125],"as":[126],"eigendecomposition,":[127],"performed.":[130],"this":[132],"paper,":[133],"we":[134,155,178],"aim":[135],"firstly":[136],"at":[137],"demonstrating":[138],"usefulness":[140],"QR":[142],"LU":[144],"factorizations":[145],"for":[150],"secondly":[154],"propose":[156],"new":[158],"way":[159],"reduce":[161],"load":[164],"resolution":[168],"by":[170,196],"estimating":[171],"only":[172,184],"needed":[174],"eigenvectors.":[175,187],"For":[176],"this,":[177],"adapt":[179],"fixed-point":[180],"compute":[183],"leading":[186],"We":[188],"evaluate":[189],"performance":[191],"proposed":[194],"comparative":[198],"study.":[199]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
