{"id":"https://openalex.org/W2146539131","doi":"https://doi.org/10.1016/s0165-1684(03)00197-x","title":"Time\u2013frequency signal analysis based on the windowed fractional Fourier transform","display_name":"Time\u2013frequency signal analysis based on the windowed fractional Fourier transform","publication_year":2003,"publication_date":"2003-09-12","ids":{"openalex":"https://openalex.org/W2146539131","doi":"https://doi.org/10.1016/s0165-1684(03)00197-x","mag":"2146539131"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-1684(03)00197-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-1684(03)00197-x","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"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/A5074877434","display_name":"Ljubi\u0161a Stankovi\u0107","orcid":"https://orcid.org/0000-0002-9736-9036"},"institutions":[{"id":"https://openalex.org/I5936373","display_name":"University of Montenegro","ror":"https://ror.org/02drrjp49","country_code":"ME","type":"education","lineage":["https://openalex.org/I5936373"]}],"countries":["ME"],"is_corresponding":true,"raw_author_name":"LJubi\u0161a Stankovi\u0107","raw_affiliation_strings":["Elektrotehnicki Fakultet, University of Montenegro, 81000 Podgorica, Montenegro, Yugoslavia","Elektrotehnicki Fakultet, University of Montenegro, 81000 Podgorica, Montenegro, Yugoslavia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Elektrotehnicki Fakultet, University of Montenegro, 81000 Podgorica, Montenegro, Yugoslavia","institution_ids":["https://openalex.org/I5936373"]},{"raw_affiliation_string":"Elektrotehnicki Fakultet, University of Montenegro, 81000 Podgorica, Montenegro, Yugoslavia#TAB#","institution_ids":["https://openalex.org/I5936373"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039325555","display_name":"Tatiana Alieva","orcid":"https://orcid.org/0000-0002-7638-9150"},"institutions":[{"id":"https://openalex.org/I121748325","display_name":"Universidad Complutense de Madrid","ror":"https://ror.org/02p0gd045","country_code":"ES","type":"education","lineage":["https://openalex.org/I121748325"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Tatiana Alieva","raw_affiliation_strings":["Facultad de Ciencias F\u0131\u0301sicas, Universidad Complutense de Madrid, 28040 Madrid, Spain","Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, 28040 Madrid, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias F\u0131\u0301sicas, Universidad Complutense de Madrid, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I121748325"]},{"raw_affiliation_string":"Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, 28040 Madrid, Spain#TAB#","institution_ids":["https://openalex.org/I121748325"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109552004","display_name":"Martin J. Bastiaans","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Martin J. Bastiaans","raw_affiliation_strings":["Faculteit Elektrotechniek, Technische Universiteit Eindhoven, Postbus 513, 5600 MB Eindhoven, Netherlands","Faculteit Elektrotechniek, Technische Universiteit Eindhoven, Postbus 513, 5600 MB Eindhoven, Netherlands#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculteit Elektrotechniek, Technische Universiteit Eindhoven, Postbus 513, 5600 MB Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Faculteit Elektrotechniek, Technische Universiteit Eindhoven, Postbus 513, 5600 MB Eindhoven, Netherlands#TAB#","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074877434"],"corresponding_institution_ids":["https://openalex.org/I5936373"],"apc_list":{"value":3200,"currency":"USD","value_usd":3200},"apc_paid":null,"fwci":4.0025,"has_fulltext":false,"cited_by_count":108,"citation_normalized_percentile":{"value":0.94079689,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"83","issue":"11","first_page":"2459","last_page":"2468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9945999979972839,"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"}},{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.983299970626831,"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/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.8425500392913818},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.7236826419830322},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6402761340141296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6082180142402649},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.5742588043212891},{"id":"https://openalex.org/keywords/non-uniform-discrete-fourier-transform","display_name":"Non-uniform discrete Fourier transform","score":0.5629490613937378},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4819481074810028},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.4698689877986908},{"id":"https://openalex.org/keywords/discrete-time-fourier-transform","display_name":"Discrete-time Fourier transform","score":0.4530678391456604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4506915509700775},{"id":"https://openalex.org/keywords/window-function","display_name":"Window function","score":0.4458829462528229},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44028499722480774},{"id":"https://openalex.org/keywords/wigner-distribution-function","display_name":"Wigner distribution function","score":0.4383963346481323},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.4365556538105011},{"id":"https://openalex.org/keywords/spectral-density-estimation","display_name":"Spectral density estimation","score":0.4309629201889038},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.4170646667480469},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.2709810733795166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23800376057624817},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13946914672851562},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12887200713157654},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09502339363098145},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.09096026420593262},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07864594459533691},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.0643014907836914}],"concepts":[{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.8425500392913818},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.7236826419830322},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6402761340141296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6082180142402649},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.5742588043212891},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.5629490613937378},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4819481074810028},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.4698689877986908},{"id":"https://openalex.org/C122444316","wikidata":"https://www.wikidata.org/wiki/Q1440048","display_name":"Discrete-time Fourier transform","level":5,"score":0.4530678391456604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4506915509700775},{"id":"https://openalex.org/C140101238","wikidata":"https://www.wikidata.org/wiki/Q1404885","display_name":"Window function","level":3,"score":0.4458829462528229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44028499722480774},{"id":"https://openalex.org/C151077058","wikidata":"https://www.wikidata.org/wiki/Q233415","display_name":"Wigner distribution function","level":3,"score":0.4383963346481323},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.4365556538105011},{"id":"https://openalex.org/C30049272","wikidata":"https://www.wikidata.org/wiki/Q6555326","display_name":"Spectral density estimation","level":3,"score":0.4309629201889038},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4170646667480469},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.2709810733795166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23800376057624817},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13946914672851562},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12887200713157654},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09502339363098145},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.09096026420593262},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07864594459533691},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.0643014907836914},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"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":6,"locations":[{"id":"doi:10.1016/s0165-1684(03)00197-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-1684(03)00197-x","pdf_url":null,"source":{"id":"https://openalex.org/S154637859","display_name":"Signal Processing","issn_l":"0165-1684","issn":["0165-1684","1872-7557"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/0d4910cc-f5b2-4c46-b105-20abfca03ee1","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/0d4910cc-f5b2-4c46-b105-20abfca03ee1","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stankovic, L, Alieva, T & Bastiaans, M J 2003, 'Time-frequency signal analysis based on the windowed fractional Fourier transform', Signal Processing, vol. 83, no. 11, pp. 2459-2468. https://doi.org/10.1016/S0165-1684(03)00197-X","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:644794","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=644794","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0165-1684","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.107.6875","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.107.6875","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.sps.ele.tue.nl/members/M.J.Bastiaans/pdfs/winfrft.pdf","raw_type":"text"},{"id":"pmh:oai:library.tue.nl:644794","is_oa":false,"landing_page_url":"http://repository.tue.nl/644794","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0165-1684","raw_type":"Article / Letter to the editor"},{"id":"pmh:tue:oai:pure.tue.nl:publications/0d4910cc-f5b2-4c46-b105-20abfca03ee1","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/0d4910cc-f5b2-4c46-b105-20abfca03ee1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Signal Processing, 83(11), 2459 - 2468. Elsevier","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323737","display_name":"Ministerio de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W54712446","https://openalex.org/W142899727","https://openalex.org/W1659874285","https://openalex.org/W2048508162","https://openalex.org/W2089413020","https://openalex.org/W2091561107","https://openalex.org/W2100175948","https://openalex.org/W2110063971","https://openalex.org/W2110310950","https://openalex.org/W2110499820","https://openalex.org/W2122006090","https://openalex.org/W2123596595","https://openalex.org/W2145589414","https://openalex.org/W2155487956","https://openalex.org/W2156170815","https://openalex.org/W2156439126","https://openalex.org/W2165878107","https://openalex.org/W2166808759","https://openalex.org/W2169175428","https://openalex.org/W3143341298","https://openalex.org/W3165898261","https://openalex.org/W4247951206","https://openalex.org/W6792258713"],"related_works":["https://openalex.org/W2354831885","https://openalex.org/W3166675296","https://openalex.org/W2001947241","https://openalex.org/W2348526654","https://openalex.org/W2149254200","https://openalex.org/W2147247884","https://openalex.org/W2045205194","https://openalex.org/W3109619766","https://openalex.org/W2540363888","https://openalex.org/W2751540326"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
