{"id":"https://openalex.org/W4408092213","doi":"https://doi.org/10.1109/tim.2025.3546397","title":"A Polynomial Multiple Variance Method for Volterra Filter Identification","display_name":"A Polynomial Multiple Variance Method for Volterra Filter Identification","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4408092213","doi":"https://doi.org/10.1109/tim.2025.3546397"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2025.3546397","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tim.2025.3546397","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1109/tim.2025.3546397","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061167441","display_name":"Alberto Carini","orcid":"https://orcid.org/0000-0003-4600-8123"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alberto Carini","raw_affiliation_strings":["Department of Engineering and Architecture, University of Trieste, Trieste, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4600-8123","affiliations":[{"raw_affiliation_string":"Department of Engineering and Architecture, University of Trieste, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057879546","display_name":"Riccardo Forti","orcid":"https://orcid.org/0009-0009-9463-3397"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Riccardo Forti","raw_affiliation_strings":["Department of Engineering and Architecture, University of Trieste, Trieste, Italy"],"raw_orcid":"https://orcid.org/0009-0009-9463-3397","affiliations":[{"raw_affiliation_string":"Department of Engineering and Architecture, University of Trieste, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019854095","display_name":"Simone Orcioni","orcid":"https://orcid.org/0000-0003-2526-6422"},"institutions":[{"id":"https://openalex.org/I122534668","display_name":"Marche Polytechnic University","ror":"https://ror.org/00x69rs40","country_code":"IT","type":"education","lineage":["https://openalex.org/I122534668"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Simone Orcioni","raw_affiliation_strings":["Department of Information Engineering, Università Politecnica delle Marche, Ancona, Italy","Department of Information Engineering, Universit‘a Politecnica delle Marche, Ancona, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2526-6422","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Università Politecnica delle Marche, Ancona, Italy","institution_ids":["https://openalex.org/I122534668"]},{"raw_affiliation_string":"Department of Information Engineering, Universit‘a Politecnica delle Marche, Ancona, Italy","institution_ids":["https://openalex.org/I122534668"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061167441"],"corresponding_institution_ids":["https://openalex.org/I142444530"],"apc_list":null,"apc_paid":null,"fwci":3.516,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.90425221,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"74","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9936000108718872,"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":0.9936000108718872,"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":0.9847999811172485,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9830999970436096,"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/polynomial","display_name":"Polynomial","score":0.5786941647529602},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5771641731262207},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5580793619155884},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47756654024124146},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4531741738319397},{"id":"https://openalex.org/keywords/volterra-equations","display_name":"Volterra equations","score":0.44543296098709106},{"id":"https://openalex.org/keywords/filtering-theory","display_name":"Filtering theory","score":0.43968555331230164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4350174367427826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42934244871139526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4025343060493469},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.33302071690559387},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3287779688835144},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2239130735397339},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19612008333206177},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18588539958000183},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12132051587104797}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5786941647529602},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5771641731262207},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5580793619155884},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47756654024124146},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4531741738319397},{"id":"https://openalex.org/C2983756050","wikidata":"https://www.wikidata.org/wiki/Q150052","display_name":"Volterra equations","level":3,"score":0.44543296098709106},{"id":"https://openalex.org/C2988922011","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering theory","level":2,"score":0.43968555331230164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4350174367427826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42934244871139526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4025343060493469},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.33302071690559387},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3287779688835144},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2239130735397339},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19612008333206177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18588539958000183},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12132051587104797},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"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/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tim.2025.3546397","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tim.2025.3546397","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"},{"id":"pmh:oai:arts.units.it:11368/3114220","is_oa":true,"landing_page_url":"https://ieeexplore.ieee.org/document/10908712","pdf_url":null,"source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.univpm.it:11566/347755","is_oa":true,"landing_page_url":"https://hdl.handle.net/11566/347755","pdf_url":null,"source":{"id":"https://openalex.org/S4306402571","display_name":"Universit\u00e0 Politecnica delle Marche (Universit\u00e0 Politecnica delle Marche)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122534668","host_organization_name":"Marche Polytechnic University","host_organization_lineage":["https://openalex.org/I122534668"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1109/tim.2025.3546397","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tim.2025.3546397","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1966369700","https://openalex.org/W1997329289","https://openalex.org/W2011138697","https://openalex.org/W2032586086","https://openalex.org/W2061773793","https://openalex.org/W2085633009","https://openalex.org/W2087993295","https://openalex.org/W2131353535","https://openalex.org/W2338518721","https://openalex.org/W2344463366","https://openalex.org/W2500997565","https://openalex.org/W2547564023","https://openalex.org/W2589497413","https://openalex.org/W2894908605","https://openalex.org/W2990569251","https://openalex.org/W3029536318","https://openalex.org/W3048091606","https://openalex.org/W3083392630","https://openalex.org/W3109190966","https://openalex.org/W3113020185","https://openalex.org/W3160368315","https://openalex.org/W3169227536","https://openalex.org/W3182884932","https://openalex.org/W3204788529","https://openalex.org/W4200305265","https://openalex.org/W4312665954","https://openalex.org/W4319265047","https://openalex.org/W4319830982","https://openalex.org/W4381568531","https://openalex.org/W6635025262"],"related_works":["https://openalex.org/W2898732673","https://openalex.org/W2410053581","https://openalex.org/W2383658677","https://openalex.org/W3123203398","https://openalex.org/W1972473893","https://openalex.org/W2466435674","https://openalex.org/W2765200542","https://openalex.org/W2367893528","https://openalex.org/W3107784576","https://openalex.org/W242750434"],"abstract_inverted_index":{"The":[0,28,55],"article":[1],"presents":[2],"a":[3,12,92],"methodology":[4,56],"for":[5],"accurately":[6],"estimating":[7],"the":[8,18,24,35,46,52,61,67,74,80,86,101,112,115],"Volterra":[9,25,47],"kernels":[10,48],"of":[11,23,51,66,95,114],"discrete-time":[13],"nonlinear":[14],"system,":[15],"even":[16],"when":[17],"system":[19],"order":[20],"exceeds":[21],"that":[22,78,85],"series":[26],"model.":[27],"approach":[29],"involves":[30],"conducting":[31],"multiple":[32],"measurements":[33],"with":[34],"same":[36],"excitation":[37],"signal,":[38],"scaled":[39],"by":[40],"different":[41],"gain":[42,76],"factors,":[43],"and":[44,60,108],"deriving":[45],"via":[49],"interpolation":[50],"measured":[53],"data.":[54],"is":[57,70,83],"thoroughly":[58],"discussed,":[59],"mean":[62],"square":[63],"deviation":[64],"(MSD)":[65],"estimated":[68],"coefficients":[69],"calculated":[71],"to":[72,91],"determine":[73],"optimal":[75,87],"factors":[77],"minimize":[79],"MSD.":[81],"It":[82],"demonstrated":[84],"gains":[88],"are":[89,98],"constrained":[90],"specific":[93],"set":[94],"values,":[96],"which":[97],"provided":[99],"in":[100],"article.":[102],"Experimental":[103],"results,":[104],"using":[105],"both":[106],"synthetic":[107],"real":[109],"systems,":[110],"showcase":[111],"effectiveness":[113],"proposed":[116],"methodology.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-01T08:36:08.643496","created_date":"2025-10-10T00:00:00"}