{"id":"https://openalex.org/W2018332268","doi":"https://doi.org/10.1109/msp.2005.1550194","title":"The dual-tree complex wavelet transform","display_name":"The dual-tree complex wavelet transform","publication_year":2005,"publication_date":"2005-11-01","ids":{"openalex":"https://openalex.org/W2018332268","doi":"https://doi.org/10.1109/msp.2005.1550194","mag":"2018332268"},"language":"en","primary_location":{"id":"doi:10.1109/msp.2005.1550194","is_oa":false,"landing_page_url":"https://doi.org/10.1109/msp.2005.1550194","pdf_url":null,"source":{"id":"https://openalex.org/S120977877","display_name":"IEEE Signal Processing Magazine","issn_l":"1053-5888","issn":["1053-5888","1558-0792"],"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 Signal Processing Magazine","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/A5058321875","display_name":"Ivan Selesnick","orcid":"https://orcid.org/0000-0002-4939-3971"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"I.W. Selesnick","raw_affiliation_strings":["Univ. of Erlangen#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of Erlangen#TAB#","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072713767","display_name":"Richard G. Baraniuk","orcid":"https://orcid.org/0000-0002-0721-8999"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R.G. Baraniuk","raw_affiliation_strings":["**Rice University;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"**Rice University;","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110030519","display_name":"NG Kingsbury","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N.C. Kingsbury","raw_affiliation_strings":["IEEE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IEEE","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058321875"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":58.0161,"has_fulltext":false,"cited_by_count":2466,"citation_normalized_percentile":{"value":0.99959332,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"22","issue":"6","first_page":"123","last_page":"151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9932000041007996,"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":0.8711972236633301},{"id":"https://openalex.org/keywords/second-generation-wavelet-transform","display_name":"Second-generation wavelet transform","score":0.7379133701324463},{"id":"https://openalex.org/keywords/harmonic-wavelet-transform","display_name":"Harmonic wavelet transform","score":0.6841467618942261},{"id":"https://openalex.org/keywords/stationary-wavelet-transform","display_name":"Stationary wavelet transform","score":0.6785256862640381},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.6513972878456116},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6463339328765869},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.6203945875167847},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.5737950205802917},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5666375756263733},{"id":"https://openalex.org/keywords/lifting-scheme","display_name":"Lifting scheme","score":0.5555145740509033},{"id":"https://openalex.org/keywords/continuous-wavelet-transform","display_name":"Continuous wavelet transform","score":0.5496087670326233},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4880339205265045},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4460321068763733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41455140709877014},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3757500946521759},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36431604623794556}],"concepts":[{"id":"https://openalex.org/C2777885455","wikidata":"https://www.wikidata.org/wiki/Q5156615","display_name":"Complex wavelet transform","level":5,"score":0.8711972236633301},{"id":"https://openalex.org/C111350171","wikidata":"https://www.wikidata.org/wiki/Q7443700","display_name":"Second-generation wavelet transform","level":5,"score":0.7379133701324463},{"id":"https://openalex.org/C1109138","wikidata":"https://www.wikidata.org/wiki/Q3280930","display_name":"Harmonic wavelet transform","level":5,"score":0.6841467618942261},{"id":"https://openalex.org/C73339587","wikidata":"https://www.wikidata.org/wiki/Q1375942","display_name":"Stationary wavelet transform","level":5,"score":0.6785256862640381},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.6513972878456116},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6463339328765869},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.6203945875167847},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.5737950205802917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5666375756263733},{"id":"https://openalex.org/C199550912","wikidata":"https://www.wikidata.org/wiki/Q3238415","display_name":"Lifting scheme","level":5,"score":0.5555145740509033},{"id":"https://openalex.org/C95722684","wikidata":"https://www.wikidata.org/wiki/Q2622756","display_name":"Continuous wavelet transform","level":5,"score":0.5496087670326233},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4880339205265045},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4460321068763733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41455140709877014},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3757500946521759},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36431604623794556},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/msp.2005.1550194","is_oa":false,"landing_page_url":"https://doi.org/10.1109/msp.2005.1550194","pdf_url":null,"source":{"id":"https://openalex.org/S120977877","display_name":"IEEE Signal Processing Magazine","issn_l":"1053-5888","issn":["1053-5888","1558-0792"],"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 Signal Processing Magazine","raw_type":"journal-article"},{"id":"pmh:oai:generic.eprints.org:334543","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/334543/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","issn_l":null,"issn":null,"is_oa":false,"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":"Article"},{"id":"pmh:oai:scholarship.rice.edu:1911/20355","is_oa":false,"landing_page_url":"http://hdl.handle.net/1911/20355","pdf_url":null,"source":{"id":"https://openalex.org/S4306401268","display_name":"Rice Digital Scholarship Archive (Rice University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74775410","host_organization_name":"Rice University","host_organization_lineage":["https://openalex.org/I74775410"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":131,"referenced_works":["https://openalex.org/W17264277","https://openalex.org/W59771946","https://openalex.org/W619413120","https://openalex.org/W1481646516","https://openalex.org/W1487477392","https://openalex.org/W1507817276","https://openalex.org/W1517207589","https://openalex.org/W1529121176","https://openalex.org/W1533408562","https://openalex.org/W1560910787","https://openalex.org/W1580875459","https://openalex.org/W1589041673","https://openalex.org/W1598254090","https://openalex.org/W1658679052","https://openalex.org/W1677381129","https://openalex.org/W1708257072","https://openalex.org/W1834590380","https://openalex.org/W1835905189","https://openalex.org/W1953417832","https://openalex.org/W1963595452","https://openalex.org/W1965789929","https://openalex.org/W1966152401","https://openalex.org/W1974140551","https://openalex.org/W1984488877","https://openalex.org/W1986724790","https://openalex.org/W1991605728","https://openalex.org/W1996021349","https://openalex.org/W2010326997","https://openalex.org/W2019042019","https://openalex.org/W2020781433","https://openalex.org/W2022905067","https://openalex.org/W2026517469","https://openalex.org/W2031257497","https://openalex.org/W2031836675","https://openalex.org/W2041752335","https://openalex.org/W2043583598","https://openalex.org/W2044202777","https://openalex.org/W2050880896","https://openalex.org/W2057986894","https://openalex.org/W2062024414","https://openalex.org/W2065391104","https://openalex.org/W2067091080","https://openalex.org/W2069899688","https://openalex.org/W2092211473","https://openalex.org/W2096684483","https://openalex.org/W2096932156","https://openalex.org/W2098914003","https://openalex.org/W2099401808","https://openalex.org/W2099563019","https://openalex.org/W2099922990","https://openalex.org/W2101437090","https://openalex.org/W2102682303","https://openalex.org/W2103732729","https://openalex.org/W2105464873","https://openalex.org/W2105950496","https://openalex.org/W2106296405","https://openalex.org/W2106304347","https://openalex.org/W2106829325","https://openalex.org/W2107099926","https://openalex.org/W2107312853","https://openalex.org/W2107790757","https://openalex.org/W2109627206","https://openalex.org/W2109812093","https://openalex.org/W2110260597","https://openalex.org/W2111561372","https://openalex.org/W2113945798","https://openalex.org/W2114535400","https://openalex.org/W2115755118","https://openalex.org/W2116484432","https://openalex.org/W2117097721","https://openalex.org/W2117737314","https://openalex.org/W2119445186","https://openalex.org/W2120038204","https://openalex.org/W2120041316","https://openalex.org/W2120731967","https://openalex.org/W2121690517","https://openalex.org/W2123664929","https://openalex.org/W2124283738","https://openalex.org/W2125580763","https://openalex.org/W2129276048","https://openalex.org/W2129491250","https://openalex.org/W2130343993","https://openalex.org/W2130414230","https://openalex.org/W2131408363","https://openalex.org/W2131766700","https://openalex.org/W2132334273","https://openalex.org/W2132680427","https://openalex.org/W2132984323","https://openalex.org/W2133359282","https://openalex.org/W2134446325","https://openalex.org/W2134929491","https://openalex.org/W2135512264","https://openalex.org/W2140386412","https://openalex.org/W2141431859","https://openalex.org/W2144797085","https://openalex.org/W2145952630","https://openalex.org/W2147484047","https://openalex.org/W2150905949","https://openalex.org/W2151045274","https://openalex.org/W2151481672","https://openalex.org/W2151623272","https://openalex.org/W2152047336","https://openalex.org/W2152193740","https://openalex.org/W2152928896","https://openalex.org/W2154725633","https://openalex.org/W2154741821","https://openalex.org/W2155595938","https://openalex.org/W2158530844","https://openalex.org/W2158757538","https://openalex.org/W2159442103","https://openalex.org/W2166796177","https://openalex.org/W2167507984","https://openalex.org/W2167642257","https://openalex.org/W2168717169","https://openalex.org/W2171852536","https://openalex.org/W2177031359","https://openalex.org/W2219581328","https://openalex.org/W2637223734","https://openalex.org/W2798506522","https://openalex.org/W2916291010","https://openalex.org/W4255272544","https://openalex.org/W6629171681","https://openalex.org/W6630705433","https://openalex.org/W6634791665","https://openalex.org/W6637641960","https://openalex.org/W6667371194","https://openalex.org/W6675676077","https://openalex.org/W6679285675","https://openalex.org/W6679511516","https://openalex.org/W6683661927","https://openalex.org/W6685648643"],"related_works":["https://openalex.org/W1588899229","https://openalex.org/W2085792030","https://openalex.org/W2059234650","https://openalex.org/W1918078477","https://openalex.org/W2023142747","https://openalex.org/W3093113980","https://openalex.org/W383996997","https://openalex.org/W1973592186","https://openalex.org/W2373036300","https://openalex.org/W1864655828"],"abstract_inverted_index":{"The":[0,30,54],"paper":[1],"discusses":[2],"the":[3,6,33,44,49,96],"theory":[4],"behind":[5],"dual-tree":[7,76,97],"transform,":[8],"shows":[9],"how":[10],"complex":[11,34],"wavelets":[12],"with":[13,43,80],"good":[14],"properties":[15],"can":[16,91],"be":[17,93],"designed,":[18],"and":[19,27,62],"illustrates":[20],"a":[21],"range":[22],"of":[23,59],"applications":[24],"in":[25,38],"signal":[26],"image":[28],"processing.":[29],"authors":[31],"use":[32],"number":[35],"symbol":[36],"C":[37],"CWT":[39,47,77],"to":[40],"avoid":[41],"confusion":[42],"often-used":[45],"acronym":[46],"for":[48,70,75],"(different)":[50],"continuous":[51],"wavelet":[52,60,89],"transform.":[53],"four":[55],"fundamentals,":[56],"intertwined":[57],"shortcomings":[58],"transform":[61,90],"some":[63],"solutions":[64],"are":[65,73],"also":[66],"discussed.":[67],"Several":[68],"methods":[69],"filter":[71],"design":[72],"described":[74],"that":[78],"demonstrates":[79],"relatively":[81],"short":[82],"filters,":[83],"an":[84],"effective":[85],"invertible":[86],"approximately":[87],"analytic":[88],"indeed":[92],"implemented":[94],"using":[95],"approach.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":27},{"year":2025,"cited_by_count":66},{"year":2024,"cited_by_count":66},{"year":2023,"cited_by_count":74},{"year":2022,"cited_by_count":105},{"year":2021,"cited_by_count":161},{"year":2020,"cited_by_count":101},{"year":2019,"cited_by_count":137},{"year":2018,"cited_by_count":138},{"year":2017,"cited_by_count":155},{"year":2016,"cited_by_count":168},{"year":2015,"cited_by_count":171},{"year":2014,"cited_by_count":180},{"year":2013,"cited_by_count":168},{"year":2012,"cited_by_count":143}],"updated_date":"2026-05-29T09:21:14.243279","created_date":"2025-10-10T00:00:00"}
