{"id":"https://openalex.org/W2204699463","doi":"https://doi.org/10.1109/eusipco.2015.7362470","title":"Least-square approximation of second-order nonlinear systems using quasi-perfect periodic sequences","display_name":"Least-square approximation of second-order nonlinear systems using quasi-perfect periodic sequences","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2204699463","doi":"https://doi.org/10.1109/eusipco.2015.7362470","mag":"2204699463"},"language":"en","primary_location":{"id":"doi:10.1109/eusipco.2015.7362470","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362470","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 23rd European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5020166180","display_name":"Giovanni L. Sicuranza","orcid":"https://orcid.org/0000-0003-2225-280X"},"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":"Giovanni L. Sicuranza","raw_affiliation_strings":["DIA - University of Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DIA - University of Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061167441","display_name":"Alberto Carini","orcid":"https://orcid.org/0000-0003-4600-8123"},"institutions":[{"id":"https://openalex.org/I190397597","display_name":"University of Urbino","ror":"https://ror.org/04q4kt073","country_code":"IT","type":"education","lineage":["https://openalex.org/I190397597"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Carini","raw_affiliation_strings":["DiSBeF - University of Urbino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DiSBeF - University of Urbino, Italy","institution_ids":["https://openalex.org/I190397597"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":null,"first_page":"684","last_page":"688"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.996999979019165,"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/sequence","display_name":"Sequence (biology)","score":0.6790500283241272},{"id":"https://openalex.org/keywords/periodic-sequence","display_name":"Periodic sequence","score":0.667309045791626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6578550934791565},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6533414125442505},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.646935224533081},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.6436294317245483},{"id":"https://openalex.org/keywords/autocorrelation-matrix","display_name":"Autocorrelation matrix","score":0.5296587347984314},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4928140938282013},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4887573719024658},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.48168954253196716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44628024101257324},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4371989965438843},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.42094382643699646},{"id":"https://openalex.org/keywords/periodic-function","display_name":"Periodic function","score":0.4174732565879822},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37253087759017944},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24610137939453125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2250167429447174},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16190144419670105},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06943196058273315},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06895166635513306}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6790500283241272},{"id":"https://openalex.org/C120241303","wikidata":"https://www.wikidata.org/wiki/Q3503302","display_name":"Periodic sequence","level":2,"score":0.667309045791626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6578550934791565},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6533414125442505},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.646935224533081},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.6436294317245483},{"id":"https://openalex.org/C4033963","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation matrix","level":3,"score":0.5296587347984314},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4928140938282013},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4887573719024658},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.48168954253196716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44628024101257324},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4371989965438843},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.42094382643699646},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.4174732565879822},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37253087759017944},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24610137939453125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2250167429447174},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16190144419670105},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06943196058273315},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06895166635513306},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/eusipco.2015.7362470","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362470","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 23rd European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},{"id":"pmh:oai:arts.units.it:11368/2933927","is_oa":false,"landing_page_url":"http://hdl.handle.net/11368/2933927","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:ora.uniurb.it:11576/2629319","is_oa":false,"landing_page_url":"http://hdl.handle.net/11576/2629319","pdf_url":null,"source":{"id":"https://openalex.org/S4377196377","display_name":"CINECA IRIS Institutional Research information system (University of Urbino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190397597","host_organization_name":"University of Urbino","host_organization_lineage":["https://openalex.org/I190397597"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W90857013","https://openalex.org/W583903863","https://openalex.org/W587742752","https://openalex.org/W1541274513","https://openalex.org/W1965130726","https://openalex.org/W1972946121","https://openalex.org/W2012589841","https://openalex.org/W2015447388","https://openalex.org/W2049259861","https://openalex.org/W2052384107","https://openalex.org/W2057897480","https://openalex.org/W2097415784","https://openalex.org/W2129792960","https://openalex.org/W2130734626","https://openalex.org/W2145507565","https://openalex.org/W2402213521","https://openalex.org/W2499601348","https://openalex.org/W2595897327","https://openalex.org/W2964229844","https://openalex.org/W4285719527","https://openalex.org/W6713534454","https://openalex.org/W7064375183"],"related_works":["https://openalex.org/W2385169700","https://openalex.org/W2356502513","https://openalex.org/W4388320481","https://openalex.org/W1965850177","https://openalex.org/W2060682274","https://openalex.org/W2111604339","https://openalex.org/W2083232669","https://openalex.org/W2066988392","https://openalex.org/W2132268285","https://openalex.org/W2148375346"],"abstract_inverted_index":{"We":[0,59],"consider":[1],"the":[2,33,40,52,55,71,105,109,120],"identification":[3],"of":[4,84,104,111],"nonlinear":[5,28,68,114],"filters":[6],"using":[7],"periodic":[8,11,21,57,62],"sequences.":[9,58],"Perfect":[10],"sequences":[12],"have":[13],"already":[14],"been":[15],"proposed":[16],"for":[17,26,51,66,108],"this":[18,47],"purpose.":[19],"A":[20,116],"sequence":[22,63,79],"is":[23,75,80,90],"called":[24],"perfect":[25],"a":[27,61,67,85],"filter":[29,69],"if":[30,70],"it":[31],"causes":[32],"basis":[34],"functions":[35],"to":[36,43],"be":[37,44],"orthogonal":[38],"and":[39,89],"autocorrelation":[41],"matrix":[42,74],"diagonal.":[45],"In":[46],"paper,":[48],"we":[49],"introduce":[50],"same":[53],"purpose":[54],"quasi-perfect":[56,65],"define":[60],"as":[64],"resulting":[72],"auto-correlation":[73],"highly":[76],"sparse.":[77],"The":[78],"obtained":[81],"by":[82,92],"means":[83],"simple":[86],"combinatorial":[87],"rule":[88],"formed":[91],"samples":[93],"having":[94],"few":[95],"discrete":[96],"levels.":[97],"These":[98],"characteristics":[99],"allow":[100],"an":[101],"efficient":[102],"implementation":[103],"least-squares":[106],"method":[107],"approximation":[110],"certain":[112],"linear-in-the-parameters":[113],"filters.":[115],"real-world":[117],"experiment":[118],"shows":[119],"good":[121],"performance":[122],"obtained.":[123]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2016-06-24T00:00:00"}
