{"id":"https://openalex.org/W2921581203","doi":"https://doi.org/10.23919/apsipa.2018.8659649","title":"Statistical-Mechanical Analysis of the Second-Order Adaptive Volterra Filter","display_name":"Statistical-Mechanical Analysis of the Second-Order Adaptive Volterra Filter","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2921581203","doi":"https://doi.org/10.23919/apsipa.2018.8659649","mag":"2921581203"},"language":"en","primary_location":{"id":"doi:10.23919/apsipa.2018.8659649","is_oa":false,"landing_page_url":"https://doi.org/10.23919/apsipa.2018.8659649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC)","raw_type":"proceedings-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/A5058632654","display_name":"Kimiko Motonaka","orcid":"https://orcid.org/0000-0003-2471-5118"},"institutions":[{"id":"https://openalex.org/I56624758","display_name":"Kansai University","ror":"https://ror.org/03xg1f311","country_code":"JP","type":"education","lineage":["https://openalex.org/I56624758"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kimiko Motonaka","raw_affiliation_strings":["Kansai University, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Kansai University, Osaka, Japan","institution_ids":["https://openalex.org/I56624758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110136700","display_name":"Takashi Katsube","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114283","display_name":"Kyocera (Japan)","ror":"https://ror.org/025y1g718","country_code":"JP","type":"company","lineage":["https://openalex.org/I4210114283"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takashi Katsube","raw_affiliation_strings":["KYOCERA Communication Systems Co. Ltd., Japan"],"affiliations":[{"raw_affiliation_string":"KYOCERA Communication Systems Co. Ltd., Japan","institution_ids":["https://openalex.org/I4210114283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063908776","display_name":"Yoshinobu Kajikawa","orcid":"https://orcid.org/0000-0002-1735-2518"},"institutions":[{"id":"https://openalex.org/I56624758","display_name":"Kansai University","ror":"https://ror.org/03xg1f311","country_code":"JP","type":"education","lineage":["https://openalex.org/I56624758"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshinobu Kajikawa","raw_affiliation_strings":["Kansai University, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Kansai University, Osaka, Japan","institution_ids":["https://openalex.org/I56624758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103084919","display_name":"Seiji Miyoshi","orcid":"https://orcid.org/0000-0002-4756-9152"},"institutions":[{"id":"https://openalex.org/I56624758","display_name":"Kansai University","ror":"https://ror.org/03xg1f311","country_code":"JP","type":"education","lineage":["https://openalex.org/I56624758"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Seiji Miyoshi","raw_affiliation_strings":["Kansai University, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Kansai University, Osaka, Japan","institution_ids":["https://openalex.org/I56624758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058632654"],"corresponding_institution_ids":["https://openalex.org/I56624758"],"apc_list":null,"apc_paid":null,"fwci":0.2027,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54062952,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1821","last_page":"1824"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9980999827384949,"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/T10244","display_name":"Chaos control and synchronization","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.7087172269821167},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.6710113286972046},{"id":"https://openalex.org/keywords/volterra-series","display_name":"Volterra series","score":0.6380161046981812},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6042481660842896},{"id":"https://openalex.org/keywords/kernel-adaptive-filter","display_name":"Kernel adaptive filter","score":0.5518199801445007},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5143541097640991},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5026383399963379},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.45426008105278015},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.44315677881240845},{"id":"https://openalex.org/keywords/recursive-filter","display_name":"Recursive filter","score":0.44019922614097595},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4319821894168854},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4016685485839844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37959152460098267},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2785303592681885},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.2058715522289276},{"id":"https://openalex.org/keywords/root-raised-cosine-filter","display_name":"Root-raised-cosine filter","score":0.1858992576599121},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16741901636123657},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12074679136276245},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07290986180305481}],"concepts":[{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.7087172269821167},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.6710113286972046},{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.6380161046981812},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6042481660842896},{"id":"https://openalex.org/C13107197","wikidata":"https://www.wikidata.org/wiki/Q6394192","display_name":"Kernel adaptive filter","level":4,"score":0.5518199801445007},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5143541097640991},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5026383399963379},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.45426008105278015},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.44315677881240845},{"id":"https://openalex.org/C70518719","wikidata":"https://www.wikidata.org/wiki/Q16928317","display_name":"Recursive filter","level":5,"score":0.44019922614097595},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4319821894168854},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4016685485839844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37959152460098267},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2785303592681885},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.2058715522289276},{"id":"https://openalex.org/C76826599","wikidata":"https://www.wikidata.org/wiki/Q1248611","display_name":"Root-raised-cosine filter","level":4,"score":0.1858992576599121},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16741901636123657},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12074679136276245},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07290986180305481},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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":1,"locations":[{"id":"doi:10.23919/apsipa.2018.8659649","is_oa":false,"landing_page_url":"https://doi.org/10.23919/apsipa.2018.8659649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1492221128","https://openalex.org/W1515571128","https://openalex.org/W1527520754","https://openalex.org/W1535810436","https://openalex.org/W1547069917","https://openalex.org/W1995501886","https://openalex.org/W1999542175","https://openalex.org/W2065667611","https://openalex.org/W2095711409","https://openalex.org/W2121993455","https://openalex.org/W2146957973","https://openalex.org/W2149653250","https://openalex.org/W2326812357","https://openalex.org/W2581205262","https://openalex.org/W4243330440"],"related_works":["https://openalex.org/W2901858402","https://openalex.org/W2127407957","https://openalex.org/W2146067007","https://openalex.org/W2336526268","https://openalex.org/W2994419562","https://openalex.org/W2165154062","https://openalex.org/W1783504430","https://openalex.org/W1600697972","https://openalex.org/W2053408600","https://openalex.org/W2002334213"],"abstract_inverted_index":{"The":[0],"Volterra":[1,27],"filter":[2,6,28],"is":[3,44,86],"a":[4,30,56],"digital":[5],"that":[7,61],"can":[8],"describe":[9,62],"nonlinearity.":[10],"In":[11,78],"this":[12],"paper,":[13],"we":[14,50],"analyze":[15],"the":[16,26,34,37,40,63,66,71,80,83],"dynamic":[17],"behaviors":[18,64],"of":[19,36,65,82],"an":[20],"adaptive":[21],"signal-processing":[22],"system":[23],"based":[24],"on":[25],"by":[29,74,88],"statistical-mechanical":[31],"method.":[32],"On":[33],"basis":[35],"self-averaging":[38],"when":[39],"tapped":[41],"delay":[42],"line":[43],"assumed":[45],"to":[46],"be":[47],"infinitely":[48],"long,":[49],"derive":[51],"simultaneous":[52],"differential":[53],"equations":[54],"in":[55],"deterministic":[57],"and":[58,69],"closed":[59],"form":[60],"macroscopic":[67],"variables":[68],"obtain":[70],"exact":[72],"solution":[73],"solving":[75],"them":[76],"analytically.":[77],"addition,":[79],"validity":[81],"derived":[84],"theory":[85],"confirmed":[87],"comparison":[89],"with":[90],"numerical":[91],"simulations.":[92]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}