{"id":"https://openalex.org/W2140838032","doi":"https://doi.org/10.1109/lsp.2008.2008478","title":"Second-Order Volterra System Identification With Noisy Input\u2013Output Measurements","display_name":"Second-Order Volterra System Identification With Noisy Input\u2013Output Measurements","publication_year":2008,"publication_date":"2008-12-17","ids":{"openalex":"https://openalex.org/W2140838032","doi":"https://doi.org/10.1109/lsp.2008.2008478","mag":"2140838032"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2008.2008478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2008.2008478","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5080908821","display_name":"Umut \u00d6zertem","orcid":null},"institutions":[{"id":"https://openalex.org/I4210134091","display_name":"Yahoo (United States)","ror":"https://ror.org/040dkzz12","country_code":"US","type":"company","lineage":["https://openalex.org/I4210134091"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"U. Ozertem","raw_affiliation_strings":["Yahoo, Inc., Sunnyvale, CA, USA","Yahoo! Inc., Sunnyvale, CA"],"affiliations":[{"raw_affiliation_string":"Yahoo, Inc., Sunnyvale, CA, USA","institution_ids":["https://openalex.org/I4210134091"]},{"raw_affiliation_string":"Yahoo! Inc., Sunnyvale, CA","institution_ids":["https://openalex.org/I4210134091"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083261801","display_name":"Deniz Erdo\u011fmu\u015f","orcid":"https://orcid.org/0000-0002-1114-3539"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Erdogmus","raw_affiliation_strings":["Electrical and Computer Engineering Department, Northeastern University, Boston, MA, USA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080908821"],"corresponding_institution_ids":["https://openalex.org/I4210134091"],"apc_list":null,"apc_paid":null,"fwci":3.29,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.92665921,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"1","first_page":"18","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9994000196456909,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/volterra-series","display_name":"Volterra series","score":0.6327574253082275},{"id":"https://openalex.org/keywords/nonlinear-system-identification","display_name":"Nonlinear system identification","score":0.5997511744499207},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5831298828125},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5771474242210388},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.5733858942985535},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5678331851959229},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5298858880996704},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.5007832050323486},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4198077619075775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4126124382019043},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3877197802066803},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.2067321240901947},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20092105865478516},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19252943992614746}],"concepts":[{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.6327574253082275},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.5997511744499207},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5831298828125},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5771474242210388},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5733858942985535},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5678331851959229},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5298858880996704},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.5007832050323486},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4198077619075775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4126124382019043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3877197802066803},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.2067321240901947},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20092105865478516},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19252943992614746},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2008.2008478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2008.2008478","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W95372047","https://openalex.org/W296863324","https://openalex.org/W1492221128","https://openalex.org/W1588496446","https://openalex.org/W1999542175","https://openalex.org/W2061179077","https://openalex.org/W2091476693","https://openalex.org/W2132373195","https://openalex.org/W2142963674","https://openalex.org/W2518685669","https://openalex.org/W2913465992"],"related_works":["https://openalex.org/W2000937006","https://openalex.org/W3038233516","https://openalex.org/W2355342457","https://openalex.org/W2025902812","https://openalex.org/W2886861112","https://openalex.org/W4237385668","https://openalex.org/W2181633855","https://openalex.org/W2188591009","https://openalex.org/W4240494828","https://openalex.org/W4243877632"],"abstract_inverted_index":{"System":[0],"identification":[1,117],"with":[2,63,172],"noisy":[3,163],"input-output":[4,164],"measurements":[5],"has":[6,76],"been":[7,77],"dominantly":[8],"addressed":[9,78],"through":[10],"the":[11,14,30,34,38,42,60,64,67,71,106,109,115,154,169,183],"optimization":[12],"of":[13,33,59,66,108,118,123,140,157],"mean-squared-error":[15],"criterion":[16,88,146,185],"(MSE),":[17],"especially":[18],"in":[19,79,100],"adaptive":[20],"filtering.":[21],"MSE":[22,55],"is":[23,45,143],"known":[24],"to":[25,96,114,132,151],"provide":[26],"models":[27,122],"that":[28,147,178],"approximate":[29],"conditional":[31],"expectation":[32],"target":[35],"output":[36],"given":[37],"input;":[39],"however,":[40],"when":[41],"input":[43],"signal":[44],"also":[46,167],"contaminated":[47],"by":[48],"noise":[49,72],"-":[50,54],"a":[51,144],"frequent":[52],"occurrence":[53],"yields":[56],"biased":[57],"estimates":[58],"model":[61,161],"parameters":[62,156],"severity":[65],"bias":[68],"dependent":[69],"on":[70],"power.":[73],"This":[74],"drawback":[75],"various":[80],"ways,":[81],"including":[82],"errors-in-variables":[83],"techniques.":[84],"Recently,":[85],"error":[86],"whitening":[87],"(EWC)":[89],"and":[90],"associated":[91],"adaptation":[92],"algorithms":[93,177],"were":[94],"proposed":[95,184],"address":[97],"this":[98,141],"issue":[99],"linear":[101],"system":[102],"identification.":[103],"We":[104,166],"extend":[105],"applicability":[107],"main":[110,138],"concept":[111],"behind":[112],"EWC":[113],"unbiased":[116],"order-2":[119,159],"Volterra":[120,135,160],"series":[121],"nonlinear":[124],"dynamical":[125],"systems.":[126],"The":[127,137],"extension":[128],"does":[129],"not":[130,187],"apply":[131],"higher":[133],"order":[134],"models.":[136],"contribution":[139],"letter":[142],"statistical":[145],"can":[148,179],"be":[149,180,188],"utilized":[150],"identify":[152],"analytically":[153],"true":[155],"an":[158],"from":[162],"data.":[165],"support":[168],"theoretical":[170],"results":[171],"simulations;":[173],"however":[174],"online":[175],"learning":[176],"derived":[181],"for":[182],"will":[186],"addressed.":[189]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
