{"id":"https://openalex.org/W4392172710","doi":"https://doi.org/10.1109/access.2024.3370439","title":"Stochastic Modeling of the Set-Membership- Sign-NLMS Algorithm","display_name":"Stochastic Modeling of the Set-Membership- Sign-NLMS Algorithm","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4392172710","doi":"https://doi.org/10.1109/access.2024.3370439"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3370439","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3370439","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10445253.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10445253.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089629632","display_name":"Jose Victor Goncalez de Souza","orcid":"https://orcid.org/0000-0002-1172-5977"},"institutions":[{"id":"https://openalex.org/I4210136482","display_name":"Federal Center for Technological Education of Minas Gerais","ror":"https://ror.org/04ch49185","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210136482"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 V. G. De Souza","raw_affiliation_strings":["Federal Center for Technological Education, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Federal Center for Technological Education, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I4210136482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012851832","display_name":"Felipe da Rocha Henriques","orcid":"https://orcid.org/0000-0002-7221-7466"},"institutions":[{"id":"https://openalex.org/I4210136482","display_name":"Federal Center for Technological Education of Minas Gerais","ror":"https://ror.org/04ch49185","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210136482"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Felipe Da R. Henriques","raw_affiliation_strings":["Federal Center for Technological Education, Petrópolis, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-7221-7466","affiliations":[{"raw_affiliation_string":"Federal Center for Technological Education, Petrópolis, Brazil","institution_ids":["https://openalex.org/I4210136482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031226071","display_name":"Newton N. Siqueira","orcid":"https://orcid.org/0000-0002-7671-446X"},"institutions":[{"id":"https://openalex.org/I4210136482","display_name":"Federal Center for Technological Education of Minas Gerais","ror":"https://ror.org/04ch49185","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210136482"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Newton N. Siqueira","raw_affiliation_strings":["Federal Center for Technological Education, Nova Iguaçu, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-7671-446X","affiliations":[{"raw_affiliation_string":"Federal Center for Technological Education, Nova Iguaçu, Brazil","institution_ids":["https://openalex.org/I4210136482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044901219","display_name":"Lu\u00eds Tarrataca","orcid":"https://orcid.org/0000-0001-9359-5143"},"institutions":[{"id":"https://openalex.org/I4210136482","display_name":"Federal Center for Technological Education of Minas Gerais","ror":"https://ror.org/04ch49185","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210136482"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Lu\u00eds Tarrataca","raw_affiliation_strings":["Federal Center for Technological Education, Petrópolis, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-9359-5143","affiliations":[{"raw_affiliation_string":"Federal Center for Technological Education, Petrópolis, Brazil","institution_ids":["https://openalex.org/I4210136482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003870082","display_name":"Fabio Andrade","orcid":"https://orcid.org/0000-0001-5599-8080"},"institutions":[{"id":"https://openalex.org/I2801380234","display_name":"University of South-Eastern Norway","ror":"https://ror.org/05ecg5h20","country_code":"NO","type":"education","lineage":["https://openalex.org/I2801380234"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Fabio A. A. Andrade","raw_affiliation_strings":["Department of Microsystems, University of South-Eastern Norway, Horten, Borre, Norway"],"raw_orcid":"https://orcid.org/0000-0001-5599-8080","affiliations":[{"raw_affiliation_string":"Department of Microsystems, University of South-Eastern Norway, Horten, Borre, Norway","institution_ids":["https://openalex.org/I2801380234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047733466","display_name":"Diego B. Haddad","orcid":"https://orcid.org/0000-0002-7634-5481"},"institutions":[{"id":"https://openalex.org/I4210136482","display_name":"Federal Center for Technological Education of Minas Gerais","ror":"https://ror.org/04ch49185","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210136482"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Diego B. Haddad","raw_affiliation_strings":["Federal Center for Technological Education, Petrópolis, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-7634-5481","affiliations":[{"raw_affiliation_string":"Federal Center for Technological Education, Petrópolis, Brazil","institution_ids":["https://openalex.org/I4210136482"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.9818,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68047903,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"12","issue":null,"first_page":"32739","last_page":"32752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":1.0,"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":1.0,"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/T10860","display_name":"Speech and Audio Processing","score":0.9980999827384949,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9979000091552734,"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/robustness","display_name":"Robustness (evolution)","score":0.57136470079422},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5550581812858582},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5518109798431396},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.5458936095237732},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.47793343663215637},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46295103430747986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45852580666542053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.455191969871521},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09293359518051147}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.57136470079422},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5550581812858582},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5518109798431396},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.5458936095237732},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.47793343663215637},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46295103430747986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45852580666542053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.455191969871521},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09293359518051147},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3370439","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3370439","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10445253.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:953dfcec93834cb58b4999a4edad71d9","is_oa":true,"landing_page_url":"https://doaj.org/article/953dfcec93834cb58b4999a4edad71d9","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":"IEEE Access, Vol 12, Pp 32739-32752 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3370439","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3370439","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10445253.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3794326933","display_name":null,"funder_award_id":"Code 001","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G6528704105","display_name":null,"funder_award_id":"001), and","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392172710.pdf","grobid_xml":"https://content.openalex.org/works/W4392172710.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W1513263705","https://openalex.org/W1951024971","https://openalex.org/W1985423116","https://openalex.org/W2030319782","https://openalex.org/W2041848269","https://openalex.org/W2058301530","https://openalex.org/W2077433303","https://openalex.org/W2084557933","https://openalex.org/W2103996619","https://openalex.org/W2106517049","https://openalex.org/W2107230901","https://openalex.org/W2109589692","https://openalex.org/W2116059849","https://openalex.org/W2119596571","https://openalex.org/W2125129419","https://openalex.org/W2128495863","https://openalex.org/W2129312400","https://openalex.org/W2132532129","https://openalex.org/W2141793797","https://openalex.org/W2142142665","https://openalex.org/W2142801300","https://openalex.org/W2150305894","https://openalex.org/W2151578276","https://openalex.org/W2152766673","https://openalex.org/W2156229817","https://openalex.org/W2165673729","https://openalex.org/W2171805467","https://openalex.org/W2339465384","https://openalex.org/W2342561345","https://openalex.org/W2518986703","https://openalex.org/W2566844154","https://openalex.org/W2591237761","https://openalex.org/W2898774023","https://openalex.org/W2942228371","https://openalex.org/W2963650899","https://openalex.org/W3032985158","https://openalex.org/W3064684002","https://openalex.org/W3088171613","https://openalex.org/W3092016453","https://openalex.org/W3119769273","https://openalex.org/W4221138852","https://openalex.org/W4239240501","https://openalex.org/W4312292560","https://openalex.org/W4313854651","https://openalex.org/W4321015248","https://openalex.org/W4328008036","https://openalex.org/W4362667678","https://openalex.org/W4376851133","https://openalex.org/W4380373687","https://openalex.org/W4383067528","https://openalex.org/W4385578544","https://openalex.org/W4386702664","https://openalex.org/W6680764771"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W2770593030","https://openalex.org/W4386900933","https://openalex.org/W3154990682","https://openalex.org/W4229058035","https://openalex.org/W3125672081","https://openalex.org/W2560201613","https://openalex.org/W196429367"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"the":[3,11,41,51,92,112,116,128,135,151,170,174,178,198,201,219,223],"Set-Membership":[4,18],"sign-NLMS":[5],"(SM-sign-NLMS)":[6],"adaptive":[7],"filter,":[8],"which":[9,214],"combines":[10],"ability":[12],"for":[13,197,209],"data":[14],"censoring":[15],"(offered":[16],"by":[17,26,63,229],"schemes)":[19],"with":[20,70],"robustness":[21],"against":[22],"impulsive":[23,46],"noise":[24,47],"(provided":[25],"signed":[27],"schemes).":[28],"The":[29,94,225],"algorithm":[30,44,152,202],"can":[31],"present":[32,49],"a":[33,57,64,71,86,105,119,124,164,186,191,206,210],"much":[34],"lower":[35],"steady-state":[36],"probability":[37],"of":[38,91,96,115,127,134,150,200,222],"update":[39],"than":[40],"standard":[42],"SM-NLMS":[43],"when":[45,173],"is":[48,54,138,153,159,195],"in":[50,80],"system.":[52],"It":[53],"derived":[55],"from":[56],"local":[58],"deterministic":[59],"optimization":[60],"problem":[61],"modulated":[62],"minimum":[65],"disturbance":[66],"cost":[67],"function":[68],"combined":[69],"bounded":[72],"error":[73],"criterion.":[74],"Several":[75],"stochastic":[76,193],"models":[77],"are":[78,227],"proposed":[79],"order":[81],"to":[82,104,162,181,185],"extract":[83],"insights":[84,217],"and":[85,130],"time-variant":[87,147],"step":[88],"size":[89],"extension":[90],"algorithm.":[93,117,224],"first":[95],"them,":[97],"based":[98,122],"on":[99,123,141],"energy":[100],"conservation":[101],"arguments,":[102],"leads":[103],"fixed-point":[106,165],"analytic":[107],"equation":[108],"whose":[109,167],"solution":[110,168],"predicts":[111],"asymptotic":[113,171,220],"performance":[114,172,221],"Further,":[118],"transient":[120],"analysis":[121,158],"statistical":[125],"decoupling":[126],"radial":[129],"(discrete)":[131],"angular":[132],"distributions":[133],"input":[136,212],"vector":[137],"derived.":[139],"Based":[140],"such":[142,156],"an":[143,145,157],"analysis,":[144],"efficient":[146],"step-size":[148],"version":[149],"proposed.":[154],"Additionally,":[155],"also":[160],"utilized":[161],"obtain":[163],"formula":[166],"describes":[169],"unknown":[175],"plant":[176],"that":[177],"filter":[179],"intends":[180],"match":[182],"varies":[183],"according":[184],"first-order":[187],"Markovian":[188],"model.":[189],"Lastly,":[190],"novel":[192],"model":[194],"advanced":[196],"description":[199],"learning":[203],"behavior":[204],"under":[205],"deficient-length":[207],"scenario":[208],"white":[211],"signal,":[213],"provides":[215],"some":[216],"about":[218],"findings":[226],"confirmed":[228],"extensive":[230],"simulations.":[231]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}