{"id":"https://openalex.org/W1993416468","doi":"https://doi.org/10.1109/lsp.2012.2221704","title":"Hierarchical Least Squares Estimation Algorithm for Hammerstein\u2013Wiener Systems","display_name":"Hierarchical Least Squares Estimation Algorithm for Hammerstein\u2013Wiener Systems","publication_year":2012,"publication_date":"2012-10-02","ids":{"openalex":"https://openalex.org/W1993416468","doi":"https://doi.org/10.1109/lsp.2012.2221704","mag":"1993416468"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2012.2221704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2221704","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/A5100670772","display_name":"Dongqing Wang","orcid":"https://orcid.org/0000-0001-8856-4289"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dong-Qing Wang","raw_affiliation_strings":["College of Automation Engineering, Qingdao University, Qingdao, PR China","College of Automation Engineering, Qingdao University, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Automation Engineering, Qingdao University, Qingdao, PR China","institution_ids":["https://openalex.org/I108688024"]},{"raw_affiliation_string":"College of Automation Engineering, Qingdao University, Qingdao, China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100717865","display_name":"Feng Ding","orcid":"https://orcid.org/0000-0002-9546-0514"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Ding","raw_affiliation_strings":["Control Science and Engineering Research Center, Jiangnan University, Wuxi, China"],"affiliations":[{"raw_affiliation_string":"Control Science and Engineering Research Center, Jiangnan University, Wuxi, China","institution_ids":["https://openalex.org/I111599522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100670772"],"corresponding_institution_ids":["https://openalex.org/I108688024"],"apc_list":null,"apc_paid":null,"fwci":39.1842,"has_fulltext":false,"cited_by_count":121,"citation_normalized_percentile":{"value":0.99852585,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"19","issue":"12","first_page":"825","last_page":"828"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9775000214576721,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9751999974250793,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.6561975479125977},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.6490635275840759},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.5917121767997742},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.5621373057365417},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5351271033287048},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5057070255279541},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49575719237327576},{"id":"https://openalex.org/keywords/parameter-identification-problem","display_name":"Parameter identification problem","score":0.47762197256088257},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.4747336804866791},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44715026021003723},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43600377440452576},{"id":"https://openalex.org/keywords/hierarchical-database-model","display_name":"Hierarchical database model","score":0.4323257505893707},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42788994312286377},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4092099666595459},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38165318965911865},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.21367615461349487},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17240086197853088},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10412940382957458},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10060125589370728},{"id":"https://openalex.org/keywords/model-parameter","display_name":"Model parameter","score":0.07255092263221741}],"concepts":[{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.6561975479125977},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.6490635275840759},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5917121767997742},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5621373057365417},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5351271033287048},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5057070255279541},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49575719237327576},{"id":"https://openalex.org/C79610928","wikidata":"https://www.wikidata.org/wiki/Q1656743","display_name":"Parameter identification problem","level":3,"score":0.47762197256088257},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.4747336804866791},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44715026021003723},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43600377440452576},{"id":"https://openalex.org/C144986985","wikidata":"https://www.wikidata.org/wiki/Q871236","display_name":"Hierarchical database model","level":2,"score":0.4323257505893707},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42788994312286377},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4092099666595459},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38165318965911865},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.21367615461349487},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17240086197853088},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10412940382957458},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10060125589370728},{"id":"https://openalex.org/C2983447341","wikidata":"https://www.wikidata.org/wiki/Q1413083","display_name":"Model parameter","level":2,"score":0.07255092263221741},{"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"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/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/lsp.2012.2221704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2221704","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":19,"referenced_works":["https://openalex.org/W1971630942","https://openalex.org/W1984066865","https://openalex.org/W1986910338","https://openalex.org/W1991382482","https://openalex.org/W1993648480","https://openalex.org/W2010954562","https://openalex.org/W2025458196","https://openalex.org/W2047183127","https://openalex.org/W2068858446","https://openalex.org/W2073114888","https://openalex.org/W2091133648","https://openalex.org/W2132894351","https://openalex.org/W2146207066","https://openalex.org/W2148352317","https://openalex.org/W2158205913","https://openalex.org/W2158383834","https://openalex.org/W2205774088","https://openalex.org/W2341573425","https://openalex.org/W2758398298"],"related_works":["https://openalex.org/W1576040274","https://openalex.org/W2156286457","https://openalex.org/W2117059447","https://openalex.org/W3088791881","https://openalex.org/W2052798316","https://openalex.org/W3101399808","https://openalex.org/W1588634046","https://openalex.org/W2186781267","https://openalex.org/W4313681606","https://openalex.org/W1937235109"],"abstract_inverted_index":{"This":[0],"letter":[1],"focuses":[2],"on":[3],"identification":[4,38,43,55,64,90,98,103],"problems":[5],"of":[6,48,68,78],"a":[7],"Hammerstein-Wiener":[8,31],"system":[9,32],"with":[10,75],"an":[11,79],"output":[12,77],"error":[13],"linear":[14],"element":[15],"embedded":[16],"between":[17],"two":[18],"static":[19],"nonlinear":[20],"elements.":[21],"A":[22],"hierarchical":[23,42,97,102],"least":[24],"squares":[25],"algorithm":[26],"is":[27,57,73,105],"presented":[28],"for":[29],"the":[30,35,41,49,54,61,69,76,84,89,96,110],"by":[33,59,94],"using":[34,60,95],"auxiliary":[36,62,80],"model":[37,56,63,91],"idea":[39,65],"and":[40,82],"principle.":[44,99],"The":[45,100],"major":[46],"contributions":[47],"present":[50],"study":[51],"are":[52,92],"that":[53,83],"formulated":[58],"(the":[66],"estimate":[67],"unknown":[70],"internal":[71],"variable":[72],"replaced":[74],"model)":[81],"bilinear":[85],"parameter":[86],"vectors":[87],"in":[88],"estimated":[93],"proposed":[101],"approach":[104],"computationally":[106],"more":[107],"efficient":[108],"than":[109],"existing":[111],"over-parametrization":[112],"method.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":32},{"year":2013,"cited_by_count":26},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}
