{"id":"https://openalex.org/W2199827055","doi":"https://doi.org/10.1109/eusipco.2015.7362521","title":"Taylor-fourier series analysis for fractional order systems","display_name":"Taylor-fourier series analysis for fractional order systems","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2199827055","doi":"https://doi.org/10.1109/eusipco.2015.7362521","mag":"2199827055"},"language":"en","primary_location":{"id":"doi:10.1109/eusipco.2015.7362521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362521","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":"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/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"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Kurt Barbe","raw_affiliation_strings":["Dept. mathematics (DWIS), Vrije Universiteit Brussel, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Dept. mathematics (DWIS), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111529507","display_name":"Lieve Lauwers","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"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Lieve Lauwers","raw_affiliation_strings":["Dept. mathematics (DWIS), Vrije Universiteit Brussel, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Dept. mathematics (DWIS), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002448126","display_name":"Lee Gonzales Fuentes","orcid":"https://orcid.org/0000-0001-5516-0245"},"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"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Lee Gonzales Fuentes","raw_affiliation_strings":["Dept. mathematics (DWIS), Vrije Universiteit Brussel, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Dept. mathematics (DWIS), Vrije Universiteit Brussel, Brussels, Belgium","institution_ids":["https://openalex.org/I13469542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019777536"],"corresponding_institution_ids":["https://openalex.org/I13469542"],"apc_list":null,"apc_paid":null,"fwci":0.2466,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61633282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"938","last_page":"942"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9896000027656555,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.7130063772201538},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.547103762626648},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5444158315658569},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5382757782936096},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.538267970085144},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.5162489414215088},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4513007700443268},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4466514587402344},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44057056307792664},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.43727853894233704},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.4214090406894684},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.41289839148521423},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3253302574157715},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23214960098266602}],"concepts":[{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.7130063772201538},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.547103762626648},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5444158315658569},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5382757782936096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.538267970085144},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.5162489414215088},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4513007700443268},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4466514587402344},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44057056307792664},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.43727853894233704},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4214090406894684},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.41289839148521423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3253302574157715},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23214960098266602},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/eusipco.2015.7362521","is_oa":false,"landing_page_url":"https://doi.org/10.1109/eusipco.2015.7362521","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:vubissmart:VUBISSMART:2000:97247","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/taylorfourier-series-analysis-for-fractional-order-systems(2f4f5d1d-52d1-477e-a380-d9f0c0b66c73).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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1486874193","https://openalex.org/W1973099745","https://openalex.org/W2023315357","https://openalex.org/W2059155627","https://openalex.org/W2076602648","https://openalex.org/W2093649112","https://openalex.org/W2119337797","https://openalex.org/W2134837756","https://openalex.org/W2135046866","https://openalex.org/W2150078764","https://openalex.org/W2155572235","https://openalex.org/W2156028150","https://openalex.org/W2157452532","https://openalex.org/W3135289802","https://openalex.org/W4205892183"],"related_works":["https://openalex.org/W4224306892","https://openalex.org/W1574935133","https://openalex.org/W2094684004","https://openalex.org/W31830636","https://openalex.org/W2370547058","https://openalex.org/W6842695","https://openalex.org/W4298260447","https://openalex.org/W2007919444","https://openalex.org/W2017823752","https://openalex.org/W2094657987"],"abstract_inverted_index":{"Dynamical":[0],"systems":[1],"describing":[2],"a":[3,7,12,35,48,65,91,105,116],"physical":[4],"process":[5],"with":[6,34],"dominant":[8],"diffusion":[9],"phenomenon":[10],"require":[11],"large":[13],"dimensional":[14],"model":[15],"due":[16],"to":[17,29,79,94,110],"their":[18],"long":[19,40],"memory.":[20],"Without":[21],"prior":[22],"knowledge,":[23],"it":[24],"is":[25,51],"however":[26],"not":[27],"straightforward":[28],"know":[30],"if/whether":[31],"one":[32],"deals":[33],"fractional":[36,49,59,86,100,117],"order":[37],"system":[38,50],"or":[39],"memory":[41],"effects.":[42],"Since":[43],"the":[44,56,74,80,99,112,119],"parametric":[45],"modeling":[46],"of":[47,108,115],"very":[52],"involved,":[53],"we":[54,71,89],"tackle":[55],"question":[57],"whether":[58],"insight":[60,97],"can":[61],"be":[62],"gathered":[63],"in":[64,98],"non-parametric":[66,96],"way.":[67],"In":[68],"this":[69],"paper":[70],"show":[72],"that":[73],"classical":[75],"Fourier":[76],"basis":[77,93],"leading":[78],"Frequency":[81],"Response":[82],"Function":[83],"(FRF)":[84],"lacks":[85],"insight.":[87],"Therefore,":[88],"introduce":[90],"TaylorFourier":[92],"obtain":[95],"system.":[101],"This":[102],"analysis":[103],"proposes":[104],"novel":[106],"type":[107],"spectrum":[109],"visualize":[111],"spectral":[113],"content":[114],"system:":[118],"Taylor-Fourier":[120],"spectrum.":[121]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}