{"id":"https://openalex.org/W2295806640","doi":"https://doi.org/10.1109/tsp.2015.2493986","title":"Steady-State Performance of Spline Adaptive Filters","display_name":"Steady-State Performance of Spline Adaptive Filters","publication_year":2015,"publication_date":"2015-10-26","ids":{"openalex":"https://openalex.org/W2295806640","doi":"https://doi.org/10.1109/tsp.2015.2493986","mag":"2295806640"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2015.2493986","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2493986","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":["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/A5067809229","display_name":"Michele Scarpiniti","orcid":"https://orcid.org/0000-0002-3164-6256"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Michele Scarpiniti","raw_affiliation_strings":["Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3164-6256","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019647783","display_name":"Danilo Comminiello","orcid":"https://orcid.org/0000-0003-4067-4504"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Danilo Comminiello","raw_affiliation_strings":["Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053640493","display_name":"Gaetano Scarano","orcid":"https://orcid.org/0000-0002-1120-707X"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gaetano Scarano","raw_affiliation_strings":["Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090987990","display_name":"Raffaele Parisi","orcid":"https://orcid.org/0000-0002-6062-0274"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Raffaele Parisi","raw_affiliation_strings":["Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039283820","display_name":"Aurelio Uncini","orcid":"https://orcid.org/0000-0002-5793-0917"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Aurelio Uncini","raw_affiliation_strings":["Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \u201cSapienza\u201d University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Department of Information Engineering, Electronics and Telecommunications (DIET), \"Sapienza\" University of Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6848,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.92690607,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"64","issue":"4","first_page":"816","last_page":"828"},"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/T11236","display_name":"Control Systems and Identification","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/adaptive-filter","display_name":"Adaptive filter","score":0.7141250371932983},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.5859273672103882},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5523034334182739},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5497602820396423},{"id":"https://openalex.org/keywords/least-mean-squares-filter","display_name":"Least mean squares filter","score":0.5407095551490784},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5074781775474548},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.49122756719589233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.470901757478714},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4616509675979614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44657179713249207},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34274858236312866},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3388512134552002},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15176206827163696},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14235341548919678},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08196547627449036}],"concepts":[{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.7141250371932983},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.5859273672103882},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5523034334182739},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5497602820396423},{"id":"https://openalex.org/C32617633","wikidata":"https://www.wikidata.org/wiki/Q1426666","display_name":"Least mean squares filter","level":3,"score":0.5407095551490784},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5074781775474548},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.49122756719589233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.470901757478714},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4616509675979614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44657179713249207},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34274858236312866},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3388512134552002},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15176206827163696},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14235341548919678},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08196547627449036},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/tsp.2015.2493986","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2015.2493986","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:iris.uniroma1.it:11573/847290","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/847290","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6806145029","display_name":null,"funder_award_id":"C26A14L9LX","funder_id":"https://openalex.org/F4320322510","funder_display_name":"Sapienza Universit\u00e0 di Roma"}],"funders":[{"id":"https://openalex.org/F4320322510","display_name":"Sapienza Universit\u00e0 di Roma","ror":"https://ror.org/02be6w209"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1521591241","https://openalex.org/W1931784425","https://openalex.org/W1966048296","https://openalex.org/W1966992934","https://openalex.org/W1970806505","https://openalex.org/W1977312816","https://openalex.org/W1980233801","https://openalex.org/W1989588569","https://openalex.org/W2003410902","https://openalex.org/W2007336860","https://openalex.org/W2014205516","https://openalex.org/W2022669094","https://openalex.org/W2030319782","https://openalex.org/W2031863147","https://openalex.org/W2049403721","https://openalex.org/W2050075865","https://openalex.org/W2051317672","https://openalex.org/W2053904120","https://openalex.org/W2069419462","https://openalex.org/W2085953673","https://openalex.org/W2088140577","https://openalex.org/W2090139925","https://openalex.org/W2096915734","https://openalex.org/W2098392733","https://openalex.org/W2113158412","https://openalex.org/W2116514159","https://openalex.org/W2116623305","https://openalex.org/W2119099945","https://openalex.org/W2120200834","https://openalex.org/W2120894588","https://openalex.org/W2124086958","https://openalex.org/W2129450987","https://openalex.org/W2131142175","https://openalex.org/W2131174147","https://openalex.org/W2142801300","https://openalex.org/W2146725538","https://openalex.org/W2147553224","https://openalex.org/W2151578276","https://openalex.org/W2153796359","https://openalex.org/W2153946895","https://openalex.org/W2155220711","https://openalex.org/W2156081403","https://openalex.org/W2158980899","https://openalex.org/W2161664203","https://openalex.org/W2162870748","https://openalex.org/W2165591509","https://openalex.org/W2168214651","https://openalex.org/W2403035479","https://openalex.org/W2478708596","https://openalex.org/W3098226599","https://openalex.org/W4243330440","https://openalex.org/W4244992117","https://openalex.org/W4255375128","https://openalex.org/W4301253858"],"related_works":["https://openalex.org/W2287235845","https://openalex.org/W2586228848","https://openalex.org/W2081837274","https://openalex.org/W2253481662","https://openalex.org/W1998353256","https://openalex.org/W2357454918","https://openalex.org/W2189195857","https://openalex.org/W3040496336","https://openalex.org/W2370278301","https://openalex.org/W2146261928"],"abstract_inverted_index":{"Recently,":[0],"a":[1,55],"novel":[2],"class":[3],"of":[4,29,65,69,80,99,135,146],"nonlinear":[5],"adaptive":[6,10],"filters,":[7],"called":[8],"spline":[9],"filters":[11],"(SAFs),":[12],"has":[13,111],"been":[14,112],"introduced":[15],"and":[16,88,94,101],"demonstrated":[17],"to":[18,43,47,114,122],"be":[19],"very":[20],"effective":[21],"in":[22,50],"many":[23],"practical":[24],"applications.":[25],"The":[26,96,117],"learning":[27],"rules":[28],"these":[30],"architectures":[31],"are":[32,92,138],"based":[33,104],"on":[34,105],"the":[35,48,62,66,70,74,77,81,89,106,125,132,144,147],"least":[36],"mean":[37,67,84],"square":[38,85],"(LMS)":[39],"algorithm.":[40],"In":[41,59],"order":[42],"provide":[44,54],"theoretical":[45,82,119],"foundation":[46],"SAF,":[49],"this":[51],"paper":[52],"we":[53],"steady-state":[56,126],"performance":[57],"evaluation.":[58],"particular,":[60],"after":[61],"stochastic":[63],"analysis":[64,98,120,148],"behavior":[68],"SAF":[71,115],"approach":[72,109],"under":[73],"Gaussian":[75],"assumption,":[76],"analytical":[78],"derivation":[79],"excess":[83],"error":[86],"(EMSE)":[87],"normalized":[90],"misadjustment":[91,102],"derived":[93,118],"discussed.":[95],"proposed":[97],"EMSE":[100],"is":[103],"energy":[107],"conservation":[108],"that":[110],"extended":[113],"architecture.":[116],"allows":[121],"accurately":[123],"predict":[124],"performance.":[127],"Therefore,":[128],"some":[129],"properties":[130],"for":[131],"correct":[133],"choice":[134],"filter":[136],"parameters":[137],"also":[139],"provided.":[140],"Experimental":[141],"results":[142],"demonstrate":[143],"effectiveness":[145],"results.":[149]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}