{"id":"https://openalex.org/W2066083903","doi":"https://doi.org/10.1109/tsp.2014.2367467","title":"Recursive Even Mirror Fourier Nonlinear Filters and Simplified Structures","display_name":"Recursive Even Mirror Fourier Nonlinear Filters and Simplified Structures","publication_year":2014,"publication_date":"2014-11-04","ids":{"openalex":"https://openalex.org/W2066083903","doi":"https://doi.org/10.1109/tsp.2014.2367467","mag":"2066083903"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2014.2367467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2367467","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/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 Carlo Bo, Urbino, Italy","DiSBeF, University of Urbino \u201cCarlo Bo\u201d, Urbino, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4600-8123","affiliations":[{"raw_affiliation_string":"DiSBeF, University of Urbino Carlo Bo, Urbino, Italy","institution_ids":["https://openalex.org/I190397597"]},{"raw_affiliation_string":"DiSBeF, University of Urbino \u201cCarlo Bo\u201d, Urbino, Italy","institution_ids":["https://openalex.org/I190397597"]}]},{"author_position":"last","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, Trieste, Italy","DIA\u2014University of Trieste, Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DIA, University of Trieste, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]},{"raw_affiliation_string":"DIA\u2014University of Trieste, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.807,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.89539188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"62","issue":"24","first_page":"6534","last_page":"6544"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9983999729156494,"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":0.9983999729156494,"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/T10320","display_name":"Neural Networks and Applications","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9878000020980835,"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/bounded-function","display_name":"Bounded function","score":0.7574282884597778},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7371285557746887},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5253562331199646},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5170824527740479},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4838520586490631},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.47849029302597046},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4479524493217468},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.43300414085388184},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.42467641830444336},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4233967959880829},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40438729524612427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38591399788856506},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3631948232650757},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1721688210964203},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08957606554031372}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7574282884597778},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7371285557746887},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5253562331199646},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5170824527740479},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4838520586490631},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.47849029302597046},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4479524493217468},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.43300414085388184},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.42467641830444336},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4233967959880829},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40438729524612427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38591399788856506},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3631948232650757},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1721688210964203},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08957606554031372},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/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/tsp.2014.2367467","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2014.2367467","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arts.units.it:11368/2933865","is_oa":false,"landing_page_url":"http://hdl.handle.net/11368/2933865","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/article"},{"id":"pmh:oai:ora.uniurb.it:11576/2608225","is_oa":false,"landing_page_url":"http://hdl.handle.net/11576/2608225","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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W4877826","https://openalex.org/W583903863","https://openalex.org/W1965130726","https://openalex.org/W1966048296","https://openalex.org/W1971489952","https://openalex.org/W1974260473","https://openalex.org/W1987168580","https://openalex.org/W1989588569","https://openalex.org/W2002334213","https://openalex.org/W2027052808","https://openalex.org/W2028179206","https://openalex.org/W2032586086","https://openalex.org/W2052384107","https://openalex.org/W2053408600","https://openalex.org/W2067977964","https://openalex.org/W2068026759","https://openalex.org/W2081435593","https://openalex.org/W2108431267","https://openalex.org/W2110379664","https://openalex.org/W2112251254","https://openalex.org/W2112982287","https://openalex.org/W2116781185","https://openalex.org/W2120438021","https://openalex.org/W2122895676","https://openalex.org/W2123193976","https://openalex.org/W2126024690","https://openalex.org/W2135852297","https://openalex.org/W2140250842","https://openalex.org/W2145507565","https://openalex.org/W2155220711","https://openalex.org/W2161597212","https://openalex.org/W2169692087","https://openalex.org/W2172055358","https://openalex.org/W2402213521","https://openalex.org/W2595897327","https://openalex.org/W4233029293","https://openalex.org/W6713534454","https://openalex.org/W6998422415"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2082716031","https://openalex.org/W2370289839","https://openalex.org/W1568049691","https://openalex.org/W2094657987","https://openalex.org/W2122827492","https://openalex.org/W2320412982","https://openalex.org/W4387646299"],"abstract_inverted_index":{"In":[0,82],"this":[1],"paper,":[2],"a":[3,91],"novel":[4],"class":[5],"of":[6,15,93,111],"recursive":[7,59],"nonlinear":[8,20,44],"filters":[9,23],"is":[10,73,96],"presented":[11],"as":[12],"an":[13],"extension":[14],"finite-memory":[16,70],"even":[17],"mirror":[18],"Fourier":[19],"filters.":[21],"These":[22],"are":[24,32,49,109],"characterized":[25],"by":[26],"two":[27],"relevant":[28],"properties:":[29],"i)":[30],"they":[31,48,108],"able":[33,110],"to":[34,53,76,90],"arbitrarily":[35],"well":[36],"approximate":[37],"any":[38],"discrete-time,":[39],"time-invariant,":[40],"causal,":[41],"infinite-memory,":[42],"continuous,":[43],"system":[45],"and":[46],"ii)":[47],"always":[50],"stable":[51],"according":[52],"the":[54,100,119],"bounded-input-bounded-output":[55],"criterion.":[56],"Even":[57],"though":[58],"models":[60],"can":[61],"represent":[62],"many":[63],"systems":[64],"with":[65],"fewer":[66],"coefficients":[67],"than":[68],"their":[69,79],"counterparts,":[71],"it":[72,95],"still":[74],"possible":[75],"further":[77],"reduce":[78],"computational":[80],"complexity.":[81],"fact,":[83],"while":[84],"in":[85,99,103],"general":[86],"simplified":[87],"structures":[88],"lead":[89],"loss":[92],"performance,":[94],"pointed":[97],"out":[98],"paper":[101],"that":[102],"various":[104],"common":[105],"real-world":[106],"situations,":[107],"giving":[112],"remarkable":[113],"complexity":[114],"reductions":[115],"without":[116],"negatively":[117],"affecting":[118],"modeling":[120],"capabilities.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
