{"id":"https://openalex.org/W2119043701","doi":"https://doi.org/10.1109/tassp.1985.1164730","title":"Second-order Volterra filtering and its application to nonlinear system identification","display_name":"Second-order Volterra filtering and its application to nonlinear system identification","publication_year":1985,"publication_date":"1985-12-01","ids":{"openalex":"https://openalex.org/W2119043701","doi":"https://doi.org/10.1109/tassp.1985.1164730","mag":"2119043701"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1985.1164730","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1985.1164730","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and 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/A5111802000","display_name":"Taiho Koh","orcid":null},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]},{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Taiho Koh","raw_affiliation_strings":["AT and T Bell Laboratories, Inc., Murray Hill, NJ, USA","AT&T Bell Labs.,Murray Hill, NJ"],"affiliations":[{"raw_affiliation_string":"AT and T Bell Laboratories, Inc., Murray Hill, NJ, USA","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"AT&T Bell Labs.,Murray Hill, NJ","institution_ids":["https://openalex.org/I72090969"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007011124","display_name":"E.J. Powers","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114573","display_name":"Applied Physical Electronics (United States)","ror":"https://ror.org/028btas66","country_code":"US","type":"company","lineage":["https://openalex.org/I4210114573"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. Powers","raw_affiliation_strings":["Department of Electrical Engineering and the Electronics Research Laboratory, University of Technology, Austin, TX, USA","[Department of Electrical Engineering and the Electronics Research Laboratory, University of Technology, Austin, TX, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and the Electronics Research Laboratory, University of Technology, Austin, TX, USA","institution_ids":["https://openalex.org/I4210114573","https://openalex.org/I86519309"]},{"raw_affiliation_string":"[Department of Electrical Engineering and the Electronics Research Laboratory, University of Technology, Austin, TX, USA]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111802000"],"corresponding_institution_ids":["https://openalex.org/I1283103587","https://openalex.org/I72090969"],"apc_list":null,"apc_paid":null,"fwci":4.251,"has_fulltext":false,"cited_by_count":373,"citation_normalized_percentile":{"value":0.94409052,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"33","issue":"6","first_page":"1445","last_page":"1455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9990000128746033,"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":0.9990000128746033,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9934999942779541,"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/volterra-series","display_name":"Volterra series","score":0.7182003855705261},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6389936804771423},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.635200560092926},{"id":"https://openalex.org/keywords/kernel-adaptive-filter","display_name":"Kernel adaptive filter","score":0.6309045553207397},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6278063654899597},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5581672787666321},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5164034962654114},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.5057613849639893},{"id":"https://openalex.org/keywords/nonlinear-filter","display_name":"Nonlinear filter","score":0.4607348144054413},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.438933402299881},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.400918185710907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3534680902957916},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3044339418411255},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06774130463600159},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05905929207801819}],"concepts":[{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.7182003855705261},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6389936804771423},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.635200560092926},{"id":"https://openalex.org/C13107197","wikidata":"https://www.wikidata.org/wiki/Q6394192","display_name":"Kernel adaptive filter","level":4,"score":0.6309045553207397},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6278063654899597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5581672787666321},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5164034962654114},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.5057613849639893},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.4607348144054413},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.438933402299881},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.400918185710907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3534680902957916},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3044339418411255},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06774130463600159},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05905929207801819},{"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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":1,"locations":[{"id":"doi:10.1109/tassp.1985.1164730","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1985.1164730","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1544742111","https://openalex.org/W1559536185","https://openalex.org/W1843208781","https://openalex.org/W1979505073","https://openalex.org/W1982585638","https://openalex.org/W1991366567","https://openalex.org/W2009799515","https://openalex.org/W2023323864","https://openalex.org/W2026656496","https://openalex.org/W2031019611","https://openalex.org/W2055185709","https://openalex.org/W2058522416","https://openalex.org/W2067050880","https://openalex.org/W2075444547","https://openalex.org/W2090284217","https://openalex.org/W2124734274","https://openalex.org/W2133247229","https://openalex.org/W2140380394","https://openalex.org/W2149777284","https://openalex.org/W2152287301","https://openalex.org/W2163546906","https://openalex.org/W2163550888","https://openalex.org/W2293237729","https://openalex.org/W4213230606","https://openalex.org/W4236087597","https://openalex.org/W4236428000","https://openalex.org/W4298563212","https://openalex.org/W6632726151"],"related_works":["https://openalex.org/W2354812741","https://openalex.org/W2333256306","https://openalex.org/W4205364631","https://openalex.org/W2035423492","https://openalex.org/W2172055867","https://openalex.org/W2023209729","https://openalex.org/W2078971444","https://openalex.org/W4248148385","https://openalex.org/W2132248025","https://openalex.org/W2080577510"],"abstract_inverted_index":{"Some":[0],"recent":[1],"results":[2],"on":[3,43],"the":[4,23,37,44,47,64,70,73,82,98,101],"design":[5,60],"and":[6,92],"implementation":[7],"of":[8,26,63,72,100,111,115],"second-order":[9],"Volterra":[10,16,28,38,65,83,102],"filters":[11],"are":[12],"presented.":[13],"The":[14],"(second-order)":[15,27],"filter":[17,21,24,39,48,84,103],"is":[18,40,50,85,104],"a":[19,61],"nonlinear":[20,112],"with":[22,88],"structure":[25],"series.":[29],"A":[30],"simple":[31],"minimum":[32],"mean-square":[33,95],"error":[34],"solution":[35],"for":[36,81],"derived,":[41],"based":[42],"assumption":[45],"that":[46],"input":[49],"Gaussian.":[51],"Also,":[52],"we":[53],"propose":[54],"an":[55,78],"iterative":[56],"factorization":[57],"technique":[58],"to":[59,119],"subclass":[62],"filters,":[66],"which":[67],"can":[68],"alleviate":[69],"complexity":[71],"filtering":[74],"operations":[75],"considerably.":[76],"Furthermore,":[77],"adaptive":[79],"algorithm":[80],"investigated":[86],"along":[87],"its":[89],"mean":[90],"convergence":[91],"asymptotic":[93],"excess":[94],"error.":[96],"Finally,":[97],"utility":[99],"demonstrated":[105],"by":[106],"utilizing":[107],"it":[108],"in":[109],"studies":[110],"drift":[113],"oscillations":[114],"moored":[116],"vessels":[117],"subject":[118],"random":[120],"sea":[121],"waves.":[122]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
