{"id":"https://openalex.org/W3134556667","doi":"https://doi.org/10.1007/s00034-021-01685-x","title":"Uncertainty Principle for the Short-time Special Affine Fourier Transform","display_name":"Uncertainty Principle for the Short-time Special Affine Fourier Transform","publication_year":2021,"publication_date":"2021-03-06","ids":{"openalex":"https://openalex.org/W3134556667","doi":"https://doi.org/10.1007/s00034-021-01685-x","mag":"3134556667"},"language":"en","primary_location":{"id":"doi:10.1007/s00034-021-01685-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-021-01685-x","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and 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/A5100448318","display_name":"Rui Li","orcid":"https://orcid.org/0000-0001-5689-1170"},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Li","raw_affiliation_strings":["College of Science, Tianjin University of Technology, Tianjin, 300384, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Tianjin University of Technology, Tianjin, 300384, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043554650","display_name":"Qingyue Zhang","orcid":"https://orcid.org/0000-0002-4193-7428"},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qingyue Zhang","raw_affiliation_strings":["College of Science, Tianjin University of Technology, Tianjin, 300384, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Tianjin University of Technology, Tianjin, 300384, China","institution_ids":["https://openalex.org/I136765683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043554650"],"corresponding_institution_ids":["https://openalex.org/I136765683"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.3195,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.45236764,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"40","issue":"9","first_page":"4594","last_page":"4613"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9976999759674072,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9819999933242798,"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/fourier-transform","display_name":"Fourier transform","score":0.7545684576034546},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.7505050897598267},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6842916011810303},{"id":"https://openalex.org/keywords/non-uniform-discrete-fourier-transform","display_name":"Non-uniform discrete Fourier transform","score":0.6163334250450134},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.6113040447235107},{"id":"https://openalex.org/keywords/uncertainty-principle","display_name":"Uncertainty principle","score":0.596672534942627},{"id":"https://openalex.org/keywords/discrete-time-fourier-transform","display_name":"Discrete-time Fourier transform","score":0.5416808724403381},{"id":"https://openalex.org/keywords/constant-q-transform","display_name":"Constant Q transform","score":0.5139224529266357},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.5129796862602234},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4848993420600891},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4818926453590393},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.46905234456062317},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4637850522994995},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.41924387216567993},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.4182812571525574},{"id":"https://openalex.org/keywords/fourier-inversion-theorem","display_name":"Fourier inversion theorem","score":0.4153466820716858},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.41044723987579346},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37682825326919556},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31371355056762695},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18670061230659485},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.16719582676887512},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14584529399871826},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13155299425125122},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.0885019600391388},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.07299384474754333},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06371945142745972},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05855044722557068},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.05803042650222778}],"concepts":[{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.7545684576034546},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.7505050897598267},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6842916011810303},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.6163334250450134},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.6113040447235107},{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.596672534942627},{"id":"https://openalex.org/C122444316","wikidata":"https://www.wikidata.org/wiki/Q1440048","display_name":"Discrete-time Fourier transform","level":5,"score":0.5416808724403381},{"id":"https://openalex.org/C153705960","wikidata":"https://www.wikidata.org/wiki/Q5163634","display_name":"Constant Q transform","level":5,"score":0.5139224529266357},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.5129796862602234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4848993420600891},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4818926453590393},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.46905234456062317},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4637850522994995},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.41924387216567993},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.4182812571525574},{"id":"https://openalex.org/C175146775","wikidata":"https://www.wikidata.org/wiki/Q3984053","display_name":"Fourier inversion theorem","level":5,"score":0.4153466820716858},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.41044723987579346},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37682825326919556},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31371355056762695},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18670061230659485},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.16719582676887512},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14584529399871826},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13155299425125122},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0885019600391388},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.07299384474754333},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06371945142745972},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05855044722557068},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.05803042650222778},{"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/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00034-021-01685-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-021-01685-x","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7736555553","display_name":null,"funder_award_id":"11601383","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1605417594","https://openalex.org/W1974009602","https://openalex.org/W1975601543","https://openalex.org/W1976640663","https://openalex.org/W1992677087","https://openalex.org/W2035859245","https://openalex.org/W2044516693","https://openalex.org/W2076022265","https://openalex.org/W2083306584","https://openalex.org/W2090099030","https://openalex.org/W2101972378","https://openalex.org/W2105672294","https://openalex.org/W2107736073","https://openalex.org/W2113061967","https://openalex.org/W2123006872","https://openalex.org/W2134694367","https://openalex.org/W2336770346","https://openalex.org/W2555077400","https://openalex.org/W2785999431","https://openalex.org/W2805751152","https://openalex.org/W2805957196","https://openalex.org/W2957445488","https://openalex.org/W2963262474","https://openalex.org/W3081333113","https://openalex.org/W3098029907","https://openalex.org/W3106009638","https://openalex.org/W3114710674","https://openalex.org/W4383818563","https://openalex.org/W6721576466"],"related_works":["https://openalex.org/W4353087411","https://openalex.org/W4231427907","https://openalex.org/W4295678671","https://openalex.org/W2154898175","https://openalex.org/W37281754","https://openalex.org/W4233952437","https://openalex.org/W4206052973","https://openalex.org/W176295232","https://openalex.org/W4224265615","https://openalex.org/W4248558657"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
