{"id":"https://openalex.org/W2128093037","doi":"https://doi.org/10.1109/tim.2009.2032967","title":"Nonlinear Induced Variance of Frequency Response Function Measurements","display_name":"Nonlinear Induced Variance of Frequency Response Function Measurements","publication_year":2009,"publication_date":"2009-11-03","ids":{"openalex":"https://openalex.org/W2128093037","doi":"https://doi.org/10.1109/tim.2009.2032967","mag":"2128093037"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2009.2032967","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2009.2032967","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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076996530","display_name":"J. Schoukens","orcid":"https://orcid.org/0000-0003-0492-6137"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["BE","NL"],"is_corresponding":false,"raw_author_name":"Johan Schoukens","raw_affiliation_strings":["Department of Fundamental Electricity and Instrumentation (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","Dept. of Fundamental Electr. & Instrum. (ELEC), Vrije Univ. Brussel, Brussels, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Fundamental Electricity and Instrumentation (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Dept. of Fundamental Electr. & Instrum. (ELEC), Vrije Univ. Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019777536","display_name":"Kurt Barb\u00e9","orcid":"https://orcid.org/0000-0002-7825-9077"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["BE","NL"],"is_corresponding":false,"raw_author_name":"Kurt Barb\u00e9","raw_affiliation_strings":["Department of Fundamental Electricity and Instrumentation (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","Dept. of Fundamental Electr. & Instrum. (ELEC), Vrije Univ. Brussel, Brussels, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Fundamental Electricity and Instrumentation (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Dept. of Fundamental Electr. & Instrum. (ELEC), Vrije Univ. Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028673957","display_name":"Laurent Vanbeylen","orcid":null},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["BE","NL"],"is_corresponding":false,"raw_author_name":"Laurent Vanbeylen","raw_affiliation_strings":["Department of Fundamental Electricity and Instrumentation (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","Dept. of Fundamental Electr. & Instrum. (ELEC), Vrije Univ. Brussel, Brussels, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Fundamental Electricity and Instrumentation (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Dept. of Fundamental Electr. & Instrum. (ELEC), Vrije Univ. Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I865915315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034235885","display_name":"Rik Pintelon","orcid":"https://orcid.org/0000-0003-2389-2075"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]},{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]}],"countries":["BE","NL"],"is_corresponding":false,"raw_author_name":"Rik Pintelon","raw_affiliation_strings":["Department of Fundamental Electricity and Instrumentation (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","Dept. of Fundamental Electr. & Instrum. (ELEC), Vrije Univ. Brussel, Brussels, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Fundamental Electricity and Instrumentation (ELEC), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]},{"raw_affiliation_string":"Dept. of Fundamental Electr. & Instrum. (ELEC), Vrije Univ. Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I865915315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4479,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.91352384,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"59","issue":"9","first_page":"2468","last_page":"2474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9991999864578247,"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":0.9991999864578247,"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/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10876","display_name":"Fault Detection and Control Systems","score":0.9976000189781189,"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/nonlinear-system","display_name":"Nonlinear system","score":0.5791789293289185},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5440711975097656},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5078032612800598},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4361025094985962},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39055755734443665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33321183919906616},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32012641429901123},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19993683695793152}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5791789293289185},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5440711975097656},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5078032612800598},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4361025094985962},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39055755734443665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33321183919906616},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32012641429901123},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19993683695793152},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tim.2009.2032967","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2009.2032967","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:62241","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/nonlinear-induced-variance-of-frequency-response-function-measurements(f94c3470-eef5-4941-9f41-8a70b0c68ae9).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W178056938","https://openalex.org/W296863324","https://openalex.org/W1494908267","https://openalex.org/W1515361063","https://openalex.org/W1521591241","https://openalex.org/W1965324089","https://openalex.org/W1983888154","https://openalex.org/W1991777572","https://openalex.org/W2023326286","https://openalex.org/W2023609935","https://openalex.org/W2041030128","https://openalex.org/W2086248552","https://openalex.org/W2091116596","https://openalex.org/W2125351848","https://openalex.org/W2134572560","https://openalex.org/W2150648248","https://openalex.org/W2151383158","https://openalex.org/W2913465992","https://openalex.org/W3127485836","https://openalex.org/W4249762338"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2317200988","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537"],"abstract_inverted_index":{"This":[0,86],"paper":[1],"analyzes":[2],"the":[3,6,13,32,44,48,53,61,68,77,83,88,93],"variance":[4,62,78],"of":[5,43],"estimated":[7],"frequency":[8],"response":[9],"function":[10],"(FRF)":[11],"\u011cBLAof":[12],"best":[14],"linear":[15,69,94],"approximation":[16],"\u011cBLAto":[17],"a":[18],"nonlinear":[19,49,84,101],"system":[20],"that":[21,60,79],"is":[22,65,80,97],"driven":[23],"by":[24,82],"random":[25,45],"excitations.":[26],"\u011cBLAvaries":[27],"not":[28],"only":[29],"due":[30],"to":[31,75],"disturbing":[33],"measurement":[34],"and":[35],"process":[36],"noise":[37],"but":[38],"also":[39,72],"over":[40],"different":[41],"realizations":[42],"excitation":[46],"because":[47],"distortions":[50],"depend":[51],"on":[52],"input":[54],"realization.":[55],"It":[56],"will":[57],"be":[58,73],"shown":[59],"expression":[63],"\u03c3\u011cBLA2that":[64],"obtained":[66],"in":[67],"framework":[70],"can":[71],"used":[74,99],"calculate":[76],"induced":[81],"distortions.":[85],"validates":[87],"common":[89],"engineering":[90],"practice,":[91],"where":[92],"FRF":[95],"methodology":[96],"often":[98],"under":[100],"conditions.":[102]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
