{"id":"https://openalex.org/W2117038284","doi":"https://doi.org/10.1109/tsp.2011.2166389","title":"A Dual-Tree Rational-Dilation Complex Wavelet Transform","display_name":"A Dual-Tree Rational-Dilation Complex Wavelet Transform","publication_year":2011,"publication_date":"2011-09-01","ids":{"openalex":"https://openalex.org/W2117038284","doi":"https://doi.org/10.1109/tsp.2011.2166389","mag":"2117038284"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.2166389","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2166389","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/170664","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046157113","display_name":"\u0130lker Bayram","orcid":"https://orcid.org/0000-0002-4829-5827"},"institutions":[{"id":"https://openalex.org/I4210133377","display_name":"Centre d'Imagerie BioMedicale","ror":"https://ror.org/03fw2bn12","country_code":"CH","type":"facility","lineage":["https://openalex.org/I4210133377"]},{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH","TR"],"is_corresponding":true,"raw_author_name":"\u0130lker Bayram","raw_affiliation_strings":["Biomedical Imaging Group, EPFL, Switzerland","Department of Electronics and Communication Engineering, Istanbul Technical University, Maslak, Istanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, EPFL, Switzerland","institution_ids":["https://openalex.org/I4210133377","https://openalex.org/I5124864"]},{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Istanbul Technical University, Maslak, Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058321875","display_name":"Ivan Selesnick","orcid":"https://orcid.org/0000-0002-4939-3971"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]},{"id":"https://openalex.org/I90965887","display_name":"SUNY Polytechnic Institute","ror":"https://ror.org/000fxgx19","country_code":"US","type":"education","lineage":["https://openalex.org/I90965887"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ivan W. Selesnick","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY, USA","institution_ids":["https://openalex.org/I90965887","https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046157113"],"corresponding_institution_ids":["https://openalex.org/I4210133377","https://openalex.org/I48912391","https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":2.0933,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.89618732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"59","issue":"12","first_page":"6251","last_page":"6256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9973999857902527,"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":0.9973999857902527,"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":0.9835000038146973,"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/T11309","display_name":"Music and Audio Processing","score":0.9783999919891357,"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/complex-wavelet-transform","display_name":"Complex wavelet transform","score":0.8493106961250305},{"id":"https://openalex.org/keywords/constant-q-transform","display_name":"Constant Q transform","score":0.7829702496528625},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.7521489858627319},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.6854878664016724},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.6330354809761047},{"id":"https://openalex.org/keywords/second-generation-wavelet-transform","display_name":"Second-generation wavelet transform","score":0.6146259903907776},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.5652872323989868},{"id":"https://openalex.org/keywords/stationary-wavelet-transform","display_name":"Stationary wavelet transform","score":0.5214290618896484},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5149012804031372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5143983960151672},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4804536700248718},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.4484548270702362},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4426581561565399},{"id":"https://openalex.org/keywords/hartley-transform","display_name":"Hartley transform","score":0.41692855954170227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38887229561805725},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31679949164390564},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20638516545295715},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.2021367847919464}],"concepts":[{"id":"https://openalex.org/C2777885455","wikidata":"https://www.wikidata.org/wiki/Q5156615","display_name":"Complex wavelet transform","level":5,"score":0.8493106961250305},{"id":"https://openalex.org/C153705960","wikidata":"https://www.wikidata.org/wiki/Q5163634","display_name":"Constant Q transform","level":5,"score":0.7829702496528625},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.7521489858627319},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.6854878664016724},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.6330354809761047},{"id":"https://openalex.org/C111350171","wikidata":"https://www.wikidata.org/wiki/Q7443700","display_name":"Second-generation wavelet transform","level":5,"score":0.6146259903907776},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.5652872323989868},{"id":"https://openalex.org/C73339587","wikidata":"https://www.wikidata.org/wiki/Q1375942","display_name":"Stationary wavelet transform","level":5,"score":0.5214290618896484},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5149012804031372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5143983960151672},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4804536700248718},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.4484548270702362},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4426581561565399},{"id":"https://openalex.org/C67757890","wikidata":"https://www.wikidata.org/wiki/Q1567607","display_name":"Hartley transform","level":5,"score":0.41692855954170227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38887229561805725},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31679949164390564},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20638516545295715},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.2021367847919464}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2011.2166389","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2166389","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:170664","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/170664","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:polen.itu.edu.tr:11527/54548","is_oa":false,"landing_page_url":"https://hdl.handle.net/11527/54548","pdf_url":null,"source":{"id":"https://openalex.org/S4306400460","display_name":"Istanbul Technical University Academic Open Archive (Istanbul Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48912391","host_organization_name":"Istanbul Technical University","host_organization_lineage":["https://openalex.org/I48912391"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:170664","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/170664","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W590134283","https://openalex.org/W1530838232","https://openalex.org/W1535737202","https://openalex.org/W1766888123","https://openalex.org/W1838323663","https://openalex.org/W2000406016","https://openalex.org/W2018332268","https://openalex.org/W2042105302","https://openalex.org/W2043843997","https://openalex.org/W2076608692","https://openalex.org/W2093824445","https://openalex.org/W2111561372","https://openalex.org/W2115755118","https://openalex.org/W2116428736","https://openalex.org/W2123664929","https://openalex.org/W2129062834","https://openalex.org/W2129276048","https://openalex.org/W2146994091","https://openalex.org/W2155214087","https://openalex.org/W2155441809","https://openalex.org/W2160490282","https://openalex.org/W2188563164","https://openalex.org/W2478884216","https://openalex.org/W2585653178","https://openalex.org/W3151807103","https://openalex.org/W6632053188"],"related_works":["https://openalex.org/W2117038284","https://openalex.org/W1034517188","https://openalex.org/W2222331773","https://openalex.org/W2359200359","https://openalex.org/W3142921214","https://openalex.org/W19668000","https://openalex.org/W2900022195","https://openalex.org/W237185286","https://openalex.org/W2377922705","https://openalex.org/W2048730702"],"abstract_inverted_index":{"In":[0],"this":[1],"correspondence,":[2],"we":[3],"introduce":[4],"a":[5,49,55,88],"dual-tree":[6,23,94],"rational-dilation":[7],"complex":[8,24,95],"wavelet":[9,25,46,96],"transform":[10,19,29,47,69,102],"for":[11,72,105],"oscillatory":[12,107],"signal":[13],"processing.":[14],"Like":[15],"the":[16,21,27,41,59,67,79,92,100],"short-time":[17,60],"Fourier":[18,61],"and":[20,112],"dyadic":[22,93],"transform,":[26,54,62,97],"introduced":[28,45,68,101],"employs":[30],"quadrature":[31],"pairs":[32],"of":[33],"time-frequency":[34],"atoms":[35],"which":[36,63,98],"allow":[37],"to":[38],"work":[39],"with":[40],"analytic":[42],"signal.":[43],"The":[44],"is":[48],"constant-":[50],"<i":[51],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[52],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Q</i>":[53],"property":[56,89],"lacked":[57,90],"by":[58,91],"in":[64],"turn":[65],"makes":[66,99],"more":[70,103],"suitable":[71,104],"models":[73],"that":[74],"depend":[75],"on":[76],"scale.":[77],"Also,":[78],"frequency":[80],"resolution":[81],"can":[82],"be":[83],"as":[84,86],"high":[85],"desired,":[87],"processing":[106],"signals":[108],"like":[109],"speech,":[110],"audio":[111],"various":[113],"biomedical":[114],"signals.":[115]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}