{"id":"https://openalex.org/W2099520264","doi":"https://doi.org/10.1109/lsp.2012.2190279","title":"On Phase-Magnitude Relationships in the Short-Time Fourier Transform","display_name":"On Phase-Magnitude Relationships in the Short-Time Fourier Transform","publication_year":2012,"publication_date":"2012-03-07","ids":{"openalex":"https://openalex.org/W2099520264","doi":"https://doi.org/10.1109/lsp.2012.2190279","mag":"2099520264"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2012.2190279","doi":"https://doi.org/10.1109/lsp.2012.2190279","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2190279","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1"],"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 Signal Processing Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5040318267","display_name":"Fran\u00e7ois A. Auger","orcid":"https://orcid.org/0000-0001-9158-1784","observed_orcids":["https://orcid.org/0000-0001-9158-1784"]},"institutions":[{"id":"https://openalex.org/I4210152368","display_name":"Centre de Recherche en Linguistique Appliqu\u00e9e","ror":"https://ror.org/048z48z46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I188626449","https://openalex.org/I203339264","https://openalex.org/I4210152368"]},{"id":"https://openalex.org/I4392021119","display_name":"Institut de Recherche en Energie Electrique de Nantes Atlantique","ror":"https://ror.org/00z2bca79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4392021119","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Auger","raw_affiliation_strings":["IREENA, CRTT, LUNAM Universit\u00e9, Saint Nazaire, France","IREENA, LUNAM Univ., Saint-Nazaire, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IREENA, CRTT, LUNAM Universit\u00e9, Saint Nazaire, France","institution_ids":["https://openalex.org/I4210152368","https://openalex.org/I4392021119","https://openalex.org/I97188460"]},{"raw_affiliation_string":"IREENA, LUNAM Univ., Saint-Nazaire, France","institution_ids":["https://openalex.org/I4392021119","https://openalex.org/I97188460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065983209","display_name":"Eric Chassande-Mottin","orcid":"https://orcid.org/0000-0003-3768-9908","observed_orcids":["https://orcid.org/0000-0003-3768-9908"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I2802090066","display_name":"Laboratoire AstroParticule et Cosmologie","ror":"https://ror.org/03tnjrr49","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I2738703131","https://openalex.org/I2746051580","https://openalex.org/I2799535048","https://openalex.org/I2800004676","https://openalex.org/I2802090066","https://openalex.org/I4210133362"]},{"id":"https://openalex.org/I4210133362","display_name":"Institut National de Physique Nucl\u00e9aire et de Physique des Particules","ror":"https://ror.org/03fd77x13","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210133362"]},{"id":"https://openalex.org/I4387154366","display_name":"Universit\u00e9 Paris Diderot","ror":"https://ror.org/02n7qrg46","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241","https://openalex.org/I4387154366"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9ric Chassande-Mottin","raw_affiliation_strings":["Laboratoire AstroParticule et Cosmologie (ADAMIS team), CEA/Irfu, CNRS/IN2P3, Universit\u00e9 Paris Diderot, Paris, France","Lab. AstroParticule et Cosmol. (ADAMIS team), Univ. Paris Diderot, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire AstroParticule et Cosmologie (ADAMIS team), CEA/Irfu, CNRS/IN2P3, Universit\u00e9 Paris Diderot, Paris, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2738703131","https://openalex.org/I2802090066","https://openalex.org/I4210133362","https://openalex.org/I4387154366"]},{"raw_affiliation_string":"Lab. AstroParticule et Cosmol. (ADAMIS team), Univ. Paris Diderot, Paris, France","institution_ids":["https://openalex.org/I2802090066","https://openalex.org/I4387154366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054988467","display_name":"Patrick Flandrin","orcid":"https://orcid.org/0000-0003-2846-6200","observed_orcids":["https://orcid.org/0000-0003-2846-6200"]},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Patrick Flandrin","raw_affiliation_strings":["Physics Department (UMR 5672b CNRS), Ecole Normale Sup\u00e9rieure de Lyon, Lyon, France","Phys. Dept., Ecole Normale Super. de Lyon, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department (UMR 5672b CNRS), Ecole Normale Sup\u00e9rieure de Lyon, Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Phys. Dept., Ecole Normale Super. de Lyon, Lyon, France","institution_ids":["https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":3.6664,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.93337836,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":100},"biblio":{"volume":"19","issue":"5","first_page":"267","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9897000193595886,"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":0.9897000193595886,"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/T11309","display_name":"Music and Audio Processing","score":0.0031999999191612005,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.002199999988079071,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"short-time Fourier transform","score":0.9980000257492065},{"id":"https://openalex.org/keywords/mixed-partial-derivatives","display_name":"mixed derivatives","score":0.5559999942779541},{"id":"https://openalex.org/keywords/time-frequency-reassignment","display_name":"time-frequency reassignment","score":0.9020000100135803}],"concepts":[{"id":"https://openalex.org/C126691448","wikidata":"https://www.wikidata.org/wiki/Q2028919","display_name":"Magnitude (astronomy)","level":2,"score":0.8426973819732666},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.8224774599075317},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.654602587223053},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5485143065452576},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.5056843757629395},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4965522885322571},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4842917323112488},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46127012372016907},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.4452873766422272},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.40696853399276733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37288960814476013},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32262498140335083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.171796053647995},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11128443479537964},{"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/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/lsp.2012.2190279","doi":"https://doi.org/10.1109/lsp.2012.2190279","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2190279","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1"],"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 Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02493052v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02493052","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1070-9908","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:in2p3-00709258v1","doi":null,"is_oa":false,"landing_page_url":"https://in2p3.hal.science/in2p3-00709258","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Signal Processing Letters, 2012, 19 (5), pp.267-270. ⟨10.1109/LSP.2012.2190279⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W175708073","https://openalex.org/W634575154","https://openalex.org/W1552202016","https://openalex.org/W1617861871","https://openalex.org/W1649011230","https://openalex.org/W2013454018","https://openalex.org/W2042291666","https://openalex.org/W2053982710","https://openalex.org/W2116966666","https://openalex.org/W2120221444","https://openalex.org/W2139734935","https://openalex.org/W2140147143","https://openalex.org/W2146414364","https://openalex.org/W2152374037","https://openalex.org/W2293520896","https://openalex.org/W3144829920"],"related_works":["https://openalex.org/W1867195828","https://openalex.org/W2696383692","https://openalex.org/W1838682048","https://openalex.org/W82005754","https://openalex.org/W7155043933","https://openalex.org/W1236588483","https://openalex.org/W1649011230","https://openalex.org/W6925510239","https://openalex.org/W4402982763","https://openalex.org/W3010751348"],"abstract_inverted_index":{"A":[0],"complete":[1],"evaluation":[2],"of":[3,18,41,48,62],"first-order,":[4],"second-order":[5],"and":[6,15],"mixed":[7],"derivatives":[8],"is":[9],"proposed":[10],"for":[11],"both":[12],"the":[13,16,60],"(log-)magnitude":[14],"phase":[17],"a":[19],"given":[20],"Short-Time":[21],"Fourier":[22],"Transform":[23],"(STFT),":[24],"leading":[25],"to":[26],"equivalent":[27],"expressions":[28],"based":[29],"on":[30],"additional":[31],"STFTs":[32,64],"with":[33],"specific":[34],"windows.":[35],"Consequences":[36],"are":[37],"drawn":[38],"in":[39,45,59,65],"terms":[40],"phase-magnitude":[42],"relationships,":[43],"resulting":[44],"new":[46,57],"formulations":[47],"time-frequency":[49],"techniques":[50],"such":[51],"as":[52,54,56],"reassignment,":[53],"well":[55],"insights":[58],"structure":[61],"admissible":[63],"some":[66],"special":[67],"cases.":[68]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":25},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}