{"id":"https://openalex.org/W1990847463","doi":"https://doi.org/10.1142/s0219691314500301","title":"Instantaneous frequency estimation and representation of the audio signal through Complex Wavelet Additive Synthesis","display_name":"Instantaneous frequency estimation and representation of the audio signal through Complex Wavelet Additive Synthesis","publication_year":2014,"publication_date":"2014-02-07","ids":{"openalex":"https://openalex.org/W1990847463","doi":"https://doi.org/10.1142/s0219691314500301","mag":"1990847463"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691314500301","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691314500301","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information 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/A5040139439","display_name":"Jes\u00fas Ponce de Le\u00f3n","orcid":"https://orcid.org/0000-0003-0832-6112"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jes\u00fas Ponce de Le\u00f3n","raw_affiliation_strings":["Department of Electronic Engineering and Communications, University of Zaragoza, R\u00edo Ebro Campus, Mar\u00eda de Luna 1, 50018, Zaragoza, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering and Communications, University of Zaragoza, R\u00edo Ebro Campus, Mar\u00eda de Luna 1, 50018, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110186106","display_name":"Jos\u00e9 Ram\u00f3n Beltr\u00e1n","orcid":null},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Ram\u00f3n Beltr\u00e1n","raw_affiliation_strings":["Department of Electronic Engineering and Communications, University of Zaragoza, R\u00edo Ebro Campus, Mar\u00eda de Luna 1, 50018, Zaragoza, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering and Communications, University of Zaragoza, R\u00edo Ebro Campus, Mar\u00eda de Luna 1, 50018, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082686836","display_name":"Fernando Beltr\u00e1n","orcid":null},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Fernando Beltr\u00e1n","raw_affiliation_strings":["Department of Electronic Engineering and Communications, University of Zaragoza, R\u00edo Ebro Campus, Mar\u00eda de Luna 1, 50018, Zaragoza, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering and Communications, University of Zaragoza, R\u00edo Ebro Campus, Mar\u00eda de Luna 1, 50018, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I255234318"],"apc_list":null,"apc_paid":null,"fwci":0.4852,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67385199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","issue":"03","first_page":"1450030","last_page":"1450030"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9990000128746033,"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/T10860","display_name":"Speech and Audio Processing","score":0.9936000108718872,"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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.992900013923645,"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/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.6945376396179199},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6904894113540649},{"id":"https://openalex.org/keywords/spectrogram","display_name":"Spectrogram","score":0.6675693988800049},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6231777667999268},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5478968620300293},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.4957071542739868},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.49443912506103516},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.49021536111831665},{"id":"https://openalex.org/keywords/constant-q-transform","display_name":"Constant Q transform","score":0.46494215726852417},{"id":"https://openalex.org/keywords/time\u2013frequency-representation","display_name":"Time\u2013frequency representation","score":0.4619918167591095},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4433104395866394},{"id":"https://openalex.org/keywords/instantaneous-phase","display_name":"Instantaneous phase","score":0.4377845525741577},{"id":"https://openalex.org/keywords/second-generation-wavelet-transform","display_name":"Second-generation wavelet transform","score":0.4330430030822754},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.42823362350463867},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.4254492521286011},{"id":"https://openalex.org/keywords/continuous-wavelet-transform","display_name":"Continuous wavelet transform","score":0.41618502140045166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40836408734321594},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40194156765937805},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.277235209941864},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.24954795837402344},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.061432063579559326}],"concepts":[{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.6945376396179199},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6904894113540649},{"id":"https://openalex.org/C45273575","wikidata":"https://www.wikidata.org/wiki/Q578970","display_name":"Spectrogram","level":2,"score":0.6675693988800049},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6231777667999268},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5478968620300293},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.4957071542739868},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.49443912506103516},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.49021536111831665},{"id":"https://openalex.org/C153705960","wikidata":"https://www.wikidata.org/wiki/Q5163634","display_name":"Constant Q transform","level":5,"score":0.46494215726852417},{"id":"https://openalex.org/C124062153","wikidata":"https://www.wikidata.org/wiki/Q7806645","display_name":"Time\u2013frequency representation","level":4,"score":0.4619918167591095},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4433104395866394},{"id":"https://openalex.org/C137798554","wikidata":"https://www.wikidata.org/wiki/Q6038852","display_name":"Instantaneous phase","level":3,"score":0.4377845525741577},{"id":"https://openalex.org/C111350171","wikidata":"https://www.wikidata.org/wiki/Q7443700","display_name":"Second-generation wavelet transform","level":5,"score":0.4330430030822754},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.42823362350463867},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.4254492521286011},{"id":"https://openalex.org/C95722684","wikidata":"https://www.wikidata.org/wiki/Q2622756","display_name":"Continuous wavelet transform","level":5,"score":0.41618502140045166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40836408734321594},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40194156765937805},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.277235209941864},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.24954795837402344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.061432063579559326},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691314500301","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691314500301","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W154488289","https://openalex.org/W177015040","https://openalex.org/W186277787","https://openalex.org/W383914434","https://openalex.org/W1510182197","https://openalex.org/W1569542462","https://openalex.org/W1620449130","https://openalex.org/W1971696102","https://openalex.org/W1973156270","https://openalex.org/W1974354169","https://openalex.org/W1994380434","https://openalex.org/W2004055815","https://openalex.org/W2006273067","https://openalex.org/W2013013264","https://openalex.org/W2013454018","https://openalex.org/W2014412042","https://openalex.org/W2014757225","https://openalex.org/W2024753239","https://openalex.org/W2028497691","https://openalex.org/W2038042584","https://openalex.org/W2039942287","https://openalex.org/W2042291666","https://openalex.org/W2047190976","https://openalex.org/W2048508162","https://openalex.org/W2049686551","https://openalex.org/W2057266214","https://openalex.org/W2067616908","https://openalex.org/W2079938542","https://openalex.org/W2082978565","https://openalex.org/W2092409600","https://openalex.org/W2096684483","https://openalex.org/W2100159550","https://openalex.org/W2102353396","https://openalex.org/W2104721231","https://openalex.org/W2111259476","https://openalex.org/W2113174199","https://openalex.org/W2116966666","https://openalex.org/W2117668484","https://openalex.org/W2121898104","https://openalex.org/W2123063325","https://openalex.org/W2127836593","https://openalex.org/W2130014182","https://openalex.org/W2132085292","https://openalex.org/W2132984323","https://openalex.org/W2140147143","https://openalex.org/W2149975670","https://openalex.org/W2150738741","https://openalex.org/W2156225460","https://openalex.org/W2157880870","https://openalex.org/W2164549078","https://openalex.org/W2164847051","https://openalex.org/W2168581654","https://openalex.org/W2244760216","https://openalex.org/W2273346152","https://openalex.org/W2973818247","https://openalex.org/W3161439748","https://openalex.org/W3165898261","https://openalex.org/W3216068995","https://openalex.org/W4247727628","https://openalex.org/W4249528182","https://openalex.org/W4255272544","https://openalex.org/W4299552129"],"related_works":["https://openalex.org/W129848221","https://openalex.org/W2090582869","https://openalex.org/W2039931329","https://openalex.org/W2134218616","https://openalex.org/W2376125734","https://openalex.org/W3108989203","https://openalex.org/W2178843752","https://openalex.org/W2355283778","https://openalex.org/W1970853565","https://openalex.org/W1531467239"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"an":[3],"improvement":[4],"of":[5,23,72,101,110,120,160],"the":[6,24,32,53,60,73,76,94,97,104,114,131,135,141,148,161,165],"Complex":[7,25,149],"Wavelet":[8,27,151],"Additive":[9],"Synthesis":[10],"(CWAS)":[11],"algorithm":[12,16,167],"is":[13,17,81],"presented.":[14,169],"This":[15],"based":[18],"on":[19,93],"a":[20,36,69],"discrete":[21],"version":[22],"Continuous":[26,150],"Transform":[28,58,152],"(CCWT)":[29],"which":[30],"analyzes":[31],"input":[33],"signal":[34,89],"in":[35,75],"frame-to-frame":[37],"approach":[38],"and":[39,66,113,146,156],"under":[40],"variable":[41],"frequency":[42,78],"resolution":[43],"per":[44],"octave.":[45],"After":[46],"summarizing":[47],"several":[48],"Time-Frequency":[49,98,158],"Distributions":[50],"(TFD),":[51],"concretely":[52],"standard":[54],"Short":[55],"Time":[56],"Fourier":[57],"(STFT),":[59],"Pseudo":[61],"Wigner\u2013Ville":[62],"Distribution":[63],"(PWVD),":[64],"reassignment":[65],"complex":[67],"wavelets,":[68],"comparative":[70,84],"study":[71,85],"accuracy":[74],"instantaneous":[77],"(IF)":[79],"estimation":[80],"shown.":[82],"The":[83],"includes":[86],"three":[87],"different":[88,129],"processing":[90],"tools":[91],"(based":[92],"summarized":[95],"TFD):":[96],"Toolbox":[99],"(TFTB)":[100],"Fran\u00e7ois":[102],"Auger,":[103],"High":[105],"Resolution":[106],"Spectrographic":[107],"Routines":[108],"(HRSR)":[109],"Sean":[111],"Fulop":[112],"proposed":[115],"CWAS":[116,166],"algorithm.":[117],"A":[118],"set":[119],"eight":[121],"synthetic":[122],"signals":[123],"have":[124],"been":[125],"analyzed":[126],"using":[127],"six":[128],"methods:":[130],"regular":[132],"STFT":[133],"spectrogram,":[134],"PWVD,":[136],"their":[137],"corresponding":[138],"reassigned":[139],"versions,":[140],"Nelson":[142],"crossed":[143],"spectrum":[144],"method":[145],"finally":[147],"(CCWT).":[153],"Finally,":[154],"two-":[155],"three-dimensional":[157],"representations":[159],"IF":[162],"provided":[163],"by":[164],"are":[168]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}