{"id":"https://openalex.org/W2017159651","doi":"https://doi.org/10.1155/2009/304579","title":"Pitch- and Formant-Based Order Adaptation of the Fractional Fourier Transform and Its Application to Speech Recognition","display_name":"Pitch- and Formant-Based Order Adaptation of the Fractional Fourier Transform and Its Application to Speech Recognition","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2017159651","doi":"https://doi.org/10.1155/2009/304579","mag":"2017159651"},"language":"en","primary_location":{"id":"doi:10.1155/2009/304579","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/304579","pdf_url":null,"source":{"id":"https://openalex.org/S19605986","display_name":"EURASIP Journal on Audio Speech and Music Processing","issn_l":"1687-4714","issn":["1687-4714","1687-4722"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Audio, Speech, and Music Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1155/2009/304579","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060046851","display_name":"Hui Yin","orcid":"https://orcid.org/0000-0002-1786-4951"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Hui Yin","raw_affiliation_strings":["TALP Research Center, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain and Department of Electronic Engineering, Beijing Institute of Technology, Beijing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"TALP Research Center, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain and Department of Electronic Engineering, Beijing Institute of Technology, Beijing, China#TAB#","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060675701","display_name":"Climent Nadeu","orcid":"https://orcid.org/0000-0002-5863-0983"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Climent Nadeu","raw_affiliation_strings":["TALP Research Center, Universitat Politecnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"TALP Research Center, Universitat Politecnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002002386","display_name":"Volker Hohmann","orcid":"https://orcid.org/0000-0001-7056-1880"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Volker Hohmann","raw_affiliation_strings":["TALP Research Center, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain and Medizinische Physik, Universit\u00e4t Oldenburg, Oldenburg, Germany"],"affiliations":[{"raw_affiliation_string":"TALP Research Center, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain and Medizinische Physik, Universit\u00e4t Oldenburg, Oldenburg, Germany","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060046851"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":1115,"currency":"GBP","value_usd":1367},"apc_paid":{"value":1115,"currency":"GBP","value_usd":1367},"fwci":0.8095,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.68560334,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2009","issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9977999925613403,"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":0.9977999925613403,"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":0.9962999820709229,"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":0.9897000193595886,"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/formant","display_name":"Formant","score":0.8555248379707336},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.77362060546875},{"id":"https://openalex.org/keywords/mel-frequency-cepstrum","display_name":"Mel-frequency cepstrum","score":0.6447237730026245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6206178069114685},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.5563706159591675},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5024969577789307},{"id":"https://openalex.org/keywords/vowel","display_name":"Vowel","score":0.4909215569496155},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.471394807100296},{"id":"https://openalex.org/keywords/cepstrum","display_name":"Cepstrum","score":0.4709269404411316},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.45278024673461914},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.44437286257743835},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.4198918342590332},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38771772384643555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30766651034355164},{"id":"https://openalex.org/keywords/feature-extraction","display_name":"Feature extraction","score":0.26294124126434326},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.13664758205413818}],"concepts":[{"id":"https://openalex.org/C158215666","wikidata":"https://www.wikidata.org/wiki/Q1414685","display_name":"Formant","level":3,"score":0.8555248379707336},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.77362060546875},{"id":"https://openalex.org/C151989614","wikidata":"https://www.wikidata.org/wiki/Q440370","display_name":"Mel-frequency cepstrum","level":3,"score":0.6447237730026245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6206178069114685},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.5563706159591675},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5024969577789307},{"id":"https://openalex.org/C2779581591","wikidata":"https://www.wikidata.org/wiki/Q36244","display_name":"Vowel","level":2,"score":0.4909215569496155},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.471394807100296},{"id":"https://openalex.org/C88485024","wikidata":"https://www.wikidata.org/wiki/Q1054571","display_name":"Cepstrum","level":2,"score":0.4709269404411316},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.45278024673461914},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.44437286257743835},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.4198918342590332},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38771772384643555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30766651034355164},{"id":"https://openalex.org/C52622490","wikidata":"https://www.wikidata.org/wiki/Q1026626","display_name":"Feature extraction","level":2,"score":0.26294124126434326},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.13664758205413818},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2009/304579","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/304579","pdf_url":null,"source":{"id":"https://openalex.org/S19605986","display_name":"EURASIP Journal on Audio Speech and Music Processing","issn_l":"1687-4714","issn":["1687-4714","1687-4722"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Audio, Speech, and Music Processing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6297e891c53f4994a5dfae371534e904","is_oa":true,"landing_page_url":"https://doaj.org/article/6297e891c53f4994a5dfae371534e904","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Audio, Speech, and Music Processing, Vol 2009 (2009)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2009/304579","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/304579","pdf_url":null,"source":{"id":"https://openalex.org/S19605986","display_name":"EURASIP Journal on Audio Speech and Music Processing","issn_l":"1687-4714","issn":["1687-4714","1687-4722"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Audio, Speech, and Music Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W58712729","https://openalex.org/W82825538","https://openalex.org/W1482905464","https://openalex.org/W1485745981","https://openalex.org/W1536822605","https://openalex.org/W1549590388","https://openalex.org/W1554624397","https://openalex.org/W1584238652","https://openalex.org/W1621749469","https://openalex.org/W1915321293","https://openalex.org/W1985220763","https://openalex.org/W2008155406","https://openalex.org/W2027040164","https://openalex.org/W2105216472","https://openalex.org/W2110063971","https://openalex.org/W2119411291","https://openalex.org/W2120495350","https://openalex.org/W2123355257","https://openalex.org/W2124462755","https://openalex.org/W2125634113","https://openalex.org/W2126672499","https://openalex.org/W2127019176","https://openalex.org/W2135095411","https://openalex.org/W2135621078","https://openalex.org/W2136103097","https://openalex.org/W2145576488","https://openalex.org/W2148611943","https://openalex.org/W2154312657","https://openalex.org/W2157000920","https://openalex.org/W2160377442","https://openalex.org/W2160514069","https://openalex.org/W2163669870","https://openalex.org/W2164190605","https://openalex.org/W2165157994","https://openalex.org/W2166198239","https://openalex.org/W2166808759","https://openalex.org/W2167672384","https://openalex.org/W2172171145","https://openalex.org/W2356373556","https://openalex.org/W3200634688","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2368661496","https://openalex.org/W1593591600","https://openalex.org/W2380156283","https://openalex.org/W2085241361","https://openalex.org/W2018337942","https://openalex.org/W2137133401","https://openalex.org/W2394579548","https://openalex.org/W2049648127","https://openalex.org/W2018086531","https://openalex.org/W1980297060"],"abstract_inverted_index":{"Fractional":[0],"Fourier":[1],"transform":[2,21,73],"(FrFT)":[3],"has":[4],"been":[5],"proposed":[6,151],"to":[7,56,82,97,165],"improve":[8],"the":[9,19,24,58,72,76,99,105,112,136,143,150,166],"time-frequency":[10],"resolution":[11],"in":[12],"signal":[13],"analysis":[14,26],"and":[15,46,67,71,88,120],"processing.":[16],"However,":[17],"selecting":[18],"FrFT":[20,68,77],"order":[22,41,155],"for":[23,75],"proper":[25],"of":[27,50,101,118,122],"multicomponent":[28],"signals":[29],"like":[30],"speech":[31,130],"is":[32,69,95],"still":[33],"debated.":[34],"In":[35],"this":[36],"work,":[37],"we":[38],"investigated":[39],"several":[40],"adaptation":[42,156],"methods.":[43,59,128],"Firstly,":[44],"FFT-":[45],"FrFT-":[47],"based":[48,85],"spectrograms":[49],"an":[51,61],"artificially-generated":[52],"vowel":[53,92],"are":[54,78],"compared":[55,164],"demonstrate":[57],"Secondly,":[60],"acoustic":[62],"feature":[63,106],"set":[64,80],"combining":[65],"MFCC":[66],"proposed,":[70],"orders":[74],"adaptively":[79],"according":[81],"various":[83],"methods":[84,103,157],"on":[86,135],"pitch":[87],"formants.":[89],"A":[90],"tonal":[91],"discrimination":[93],"test":[94],"designed":[96],"compare":[98],"performance":[100],"these":[102],"using":[104,126],"set.":[107],"The":[108],"results":[109,147],"show":[110,148],"that":[111,149],"FrFT-MFCC":[113],"yields":[114],"a":[115],"better":[116],"discriminability":[117],"tones":[119],"also":[121],"vowels,":[123],"especially":[124],"by":[125,142],"multitransform-order":[127],"Thirdly,":[129],"recognition":[131,162],"experiments":[132],"were":[133],"conducted":[134],"clean":[137],"intervocalic":[138],"English":[139],"consonants":[140],"provided":[141],"Consonant":[144],"Challenge.":[145],"Experimental":[146],"features":[152],"with":[153],"different":[154],"can":[158],"obtain":[159],"slightly":[160],"higher":[161],"rates":[163],"reference":[167],"MFCC-based":[168],"recognizer.":[169]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}