{"id":"https://openalex.org/W2222331773","doi":"https://doi.org/10.1360/02yf9013","title":"Subspaces of FMmlet transform","display_name":"Subspaces of FMmlet transform","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W2222331773","doi":"https://doi.org/10.1360/02yf9013","mag":"2222331773"},"language":"en","primary_location":{"id":"doi:10.1360/02yf9013","is_oa":false,"landing_page_url":"https://doi.org/10.1360/02yf9013","pdf_url":null,"source":{"id":"https://openalex.org/S4210224633","display_name":"Science in China Series F Information Sciences","issn_l":"1009-2757","issn":["1009-2757","1862-2836"],"is_oa":false,"is_in_doaj":false,"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":"Science in China Series F Information Sciences","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/A5078419612","display_name":"Hongxing Zou","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongxing Zou","raw_affiliation_strings":["Department of Automation, Tsinghua University, 100084, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Tsinghua University, 100084, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080722708","display_name":"Qionghai Dai","orcid":"https://orcid.org/0000-0001-7043-3061"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qionghai Dai","raw_affiliation_strings":["Department of Automation, Tsinghua University, 100084, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Tsinghua University, 100084, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108950956","display_name":"Ke Zhao","orcid":"https://orcid.org/0000-0003-1284-6962"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Zhao","raw_affiliation_strings":["Department of Automation, Tsinghua University, 100084, Beijing, China","The Second Artillery Institute of Engineering, 710025, Xi\u2019an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Tsinghua University, 100084, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"The Second Artillery Institute of Engineering, 710025, Xi\u2019an, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022903653","display_name":"Guiming Chen","orcid":"https://orcid.org/0000-0002-5629-9043"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guiming Chen","raw_affiliation_strings":["The Second Artillery Institute of Engineering, 710025, Xi\u2019an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Second Artillery Institute of Engineering, 710025, Xi\u2019an, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033512723","display_name":"Yanda Li","orcid":"https://orcid.org/0000-0002-9439-202X"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanda Li","raw_affiliation_strings":["The Second Artillery Institute of Engineering, 710025, Xi\u2019an, China","Department of Automation, Tsinghua University, 100084, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Second Artillery Institute of Engineering, 710025, Xi\u2019an, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"Department of Automation, Tsinghua University, 100084, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078419612"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.9597,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81257509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"45","issue":"2","first_page":"152","last_page":"160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9976000189781189,"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":0.9976000189781189,"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":0.9902999997138977,"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"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9851999878883362,"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/s-transform","display_name":"S transform","score":0.8482354879379272},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.8282895684242249},{"id":"https://openalex.org/keywords/constant-q-transform","display_name":"Constant Q transform","score":0.8164255619049072},{"id":"https://openalex.org/keywords/gabor-transform","display_name":"Gabor transform","score":0.7774396538734436},{"id":"https://openalex.org/keywords/hartley-transform","display_name":"Hartley transform","score":0.7450085282325745},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.7211300730705261},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.5965644121170044},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5371613502502441},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.5213978886604309},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.518131673336029},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.5131469368934631},{"id":"https://openalex.org/keywords/non-uniform-discrete-fourier-transform","display_name":"Non-uniform discrete Fourier transform","score":0.49933505058288574},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4799897372722626},{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.4263278841972351},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.4228576719760895},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3312069773674011},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2871999442577362},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27818039059638977},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2537761330604553},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.21258369088172913},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.20010393857955933},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.18668586015701294},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.15334466099739075},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11774089932441711},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.09793999791145325}],"concepts":[{"id":"https://openalex.org/C99234102","wikidata":"https://www.wikidata.org/wiki/Q7395403","display_name":"S transform","level":5,"score":0.8482354879379272},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.8282895684242249},{"id":"https://openalex.org/C153705960","wikidata":"https://www.wikidata.org/wiki/Q5163634","display_name":"Constant Q transform","level":5,"score":0.8164255619049072},{"id":"https://openalex.org/C173149727","wikidata":"https://www.wikidata.org/wiki/Q996397","display_name":"Gabor transform","level":4,"score":0.7774396538734436},{"id":"https://openalex.org/C67757890","wikidata":"https://www.wikidata.org/wiki/Q1567607","display_name":"Hartley transform","level":5,"score":0.7450085282325745},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.7211300730705261},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.5965644121170044},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5371613502502441},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.5213978886604309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.518131673336029},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.5131469368934631},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.49933505058288574},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4799897372722626},{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.4263278841972351},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.4228576719760895},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3312069773674011},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2871999442577362},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27818039059638977},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2537761330604553},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.21258369088172913},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.20010393857955933},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.18668586015701294},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.15334466099739075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11774089932441711},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.09793999791145325}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1360/02yf9013","is_oa":false,"landing_page_url":"https://doi.org/10.1360/02yf9013","pdf_url":null,"source":{"id":"https://openalex.org/S4210224633","display_name":"Science in China Series F Information Sciences","issn_l":"1009-2757","issn":["1009-2757","1862-2836"],"is_oa":false,"is_in_doaj":false,"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":"Science in China Series F Information Sciences","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":16,"referenced_works":["https://openalex.org/W1995376165","https://openalex.org/W2007088219","https://openalex.org/W2078685049","https://openalex.org/W2097530131","https://openalex.org/W2106056443","https://openalex.org/W2110926936","https://openalex.org/W2117761544","https://openalex.org/W2118675089","https://openalex.org/W2134283197","https://openalex.org/W2140638566","https://openalex.org/W2151693816","https://openalex.org/W2164298252","https://openalex.org/W2278551754","https://openalex.org/W2354402153","https://openalex.org/W2372554847","https://openalex.org/W2604562233"],"related_works":["https://openalex.org/W2563742385","https://openalex.org/W1546716936","https://openalex.org/W407975135","https://openalex.org/W2766296718","https://openalex.org/W237185286","https://openalex.org/W2551275593","https://openalex.org/W2033418985","https://openalex.org/W1507457523","https://openalex.org/W2809170010","https://openalex.org/W2040957817"],"abstract_inverted_index":{"The":[0],"subspaces":[1],"of":[2,14,33,49,72],"FM":[3,37,50,56],"m":[4,51,57],"let":[5,39,52,58],"transform":[6,59],"are":[7,45],"investigated.":[8],"It":[9],"is":[10,60],"shown":[11],"that":[12],"some":[13],"the":[15,19,31,36,42,55,66],"existing":[16],"transforms":[17],"like":[18],"Fourier":[20,23],"transform,":[21,24,26,28,30,40],"short-time":[22],"Gabor":[25],"wavelet":[27],"chirplet":[29],"mean":[32],"signal,":[34],"and":[35,41,68],"\u22121":[38],"butterfly":[43],"subspace":[44],"all":[46],"special":[47],"cases":[48],"transform.":[53],"Therefore":[54],"more":[61],"flexible":[62],"for":[63],"delineating":[64],"both":[65],"linear":[67],"nonlinear":[69],"time-varying":[70],"structures":[71],"a":[73],"signal.":[74]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
