{"id":"https://openalex.org/W2017351116","doi":"https://doi.org/10.1109/tit.1984.1056896","title":"Convergence analysis of self-adaptive equalizers","display_name":"Convergence analysis of self-adaptive equalizers","publication_year":1984,"publication_date":"1984-03-01","ids":{"openalex":"https://openalex.org/W2017351116","doi":"https://doi.org/10.1109/tit.1984.1056896","mag":"2017351116"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1984.1056896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1984.1056896","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5037413131","display_name":"Odile Macchi","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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"O. Macchi","raw_affiliation_strings":["Laboratoire desSignaux et Systemes, CNRS ESE, France","[Laboratoire desSignaux et Systemes, CNRS ESE, France]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire desSignaux et Systemes, CNRS ESE, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"[Laboratoire desSignaux et Systemes, CNRS ESE, France]","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062032528","display_name":"E. Eweda","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100308","display_name":"Military Technical College","ror":"https://ror.org/01337pb37","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210100308"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"E. Eweda","raw_affiliation_strings":["Military Technical College, Cairo, Egypt","[Military Technical College, Cairo, Egypt]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Military Technical College, Cairo, Egypt","institution_ids":["https://openalex.org/I4210100308"]},{"raw_affiliation_string":"[Military Technical College, Cairo, Egypt]","institution_ids":["https://openalex.org/I4210100308"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.84,"has_fulltext":false,"cited_by_count":181,"citation_normalized_percentile":{"value":0.91931097,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"30","issue":"2","first_page":"161","last_page":"176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9940000176429749,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6633599996566772},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5740100145339966},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5611316561698914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5084146857261658},{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.5046287775039673},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5042823553085327},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5001730918884277},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4876519441604614},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.47840532660484314},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.47050637006759644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46068599820137024},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4567694365978241},{"id":"https://openalex.org/keywords/equalization","display_name":"Equalization (audio)","score":0.4472563564777374},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4189682900905609},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4141112267971039},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4107302129268646},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.16936159133911133},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13707560300827026},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1338210105895996},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09088757634162903}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6633599996566772},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5740100145339966},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5611316561698914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5084146857261658},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.5046287775039673},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5042823553085327},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5001730918884277},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4876519441604614},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.47840532660484314},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.47050637006759644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46068599820137024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4567694365978241},{"id":"https://openalex.org/C75755367","wikidata":"https://www.wikidata.org/wiki/Q104531076","display_name":"Equalization (audio)","level":3,"score":0.4472563564777374},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4189682900905609},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4141112267971039},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4107302129268646},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.16936159133911133},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13707560300827026},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1338210105895996},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09088757634162903},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1984.1056896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1984.1056896","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.44999998807907104,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W238176571","https://openalex.org/W853885607","https://openalex.org/W1535810436","https://openalex.org/W1904546528","https://openalex.org/W1966092724","https://openalex.org/W1972095580","https://openalex.org/W2030979863","https://openalex.org/W2041273777","https://openalex.org/W2052149760","https://openalex.org/W2055738057","https://openalex.org/W2083394445","https://openalex.org/W2096727359","https://openalex.org/W2097987904","https://openalex.org/W2125812768","https://openalex.org/W2131086249","https://openalex.org/W2170459977","https://openalex.org/W4252100784","https://openalex.org/W6623694102","https://openalex.org/W6632223199"],"related_works":["https://openalex.org/W2313545085","https://openalex.org/W2381286475","https://openalex.org/W2152685658","https://openalex.org/W3091331701","https://openalex.org/W2392918297","https://openalex.org/W2102951916","https://openalex.org/W3124353475","https://openalex.org/W4287660309","https://openalex.org/W2560380744","https://openalex.org/W2160518870"],"abstract_inverted_index":{"A":[0],"theoretical":[1],"analysis":[2],"of":[3,33,38,46,98,104,110,121,135,150,154,160,163],"self-adaptive":[4],"equalization":[5],"for":[6,16,30,51,101,128],"data-transmission":[7],"is":[8,61,85,157,173],"carried":[9],"out":[10],"starting":[11],"from":[12,133],"known":[13],"convergence":[14,64,89],"results":[15,65,153],"the":[17,31,36,39,44,47,59,75,82,99,129,136,142,144,146,151,158,161,164,170],"corresponding":[18],"trained":[19],"adaptive":[20],"filter.":[21],"The":[22,119,140],"development":[23],"relies":[24],"on":[25],"a":[26,70,115,122],"suitable":[27],"ergodicity":[28],"model":[29],"sequence":[32],"observations":[34],"at":[35],"output":[37],"transmission":[40],"channel.":[41],"Thanks":[42],"to":[43,79],"boundedness":[45],"decision":[48,166],"function":[49],"used":[50],"data":[52],"recovery,":[53],"it":[54,80],"can":[55,66],"be":[56,67],"proved":[57],"that":[58,131],"algorithm":[60,76,100,130],"bounded.":[62],"Strong":[63],"reached":[68],"when":[69],"perfect":[71],"(noiseless)":[72],"equalizer":[73],"exists:":[74],"will":[77,112],"converge":[78],"if":[81],"eye":[83],"pattern":[84],"initially":[86],"open.":[87],"Otherwise":[88],"may":[90],"take":[91],"place":[92],"towards":[93],"certain":[94],"other":[95],"stationary":[96],"points":[97,127],"which":[102],"domains":[103],"attraction":[105],"have":[106],"been":[107],"defined.":[108],"Some":[109],"them":[111],"result":[113],"in":[114],"poor":[116],"error":[117],"rate.":[118],"case":[120],"noisy":[123],"channel":[124],"exhibits":[125],"limit":[126],"differ":[132],"those":[134],"classical":[137],"(trained)":[138],"algorithm.":[139],"stronger":[141],"noise,":[143],"greater":[145],"difference":[147],"is.":[148],"One":[149],"principal":[152],"this":[155],"study":[156],"proof":[159],"stability":[162],"usual":[165],"feedback":[167],"algorithms":[168],"once":[169],"learning":[171],"period":[172],"over.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":10}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
