{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T08:54:25Z","timestamp":1775120065397,"version":"3.50.1"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2020,11]]},"abstract":"<jats:p> Wavelets have been placed at the forefront of scientific researches involving signal processing, applied mathematics, pattern recognition and related fields. Nevertheless, as we have observed, students and young researchers still make mistakes when referring to one of the most relevant tools for time\u2013frequency signal analysis. Thus, this correspondence clarifies the terminologies and specific roles of four types of wavelet transforms: the continuous wavelet transform (CWT), the discrete wavelet transform (DWT), the discrete-time wavelet transform (DTWT) and the stationary discrete-time wavelet transform (SDTWT). We believe that, after reading this correspondence, readers will be able to correctly refer to, and identify, the most appropriate type of wavelet transform for a certain application, selecting relevant and accurate material for subsequent investigation. <\/jats:p>","DOI":"10.1142\/s0219691320300017","type":"journal-article","created":{"date-parts":[[2020,7,15]],"date-time":"2020-07-15T11:26:00Z","timestamp":1594812360000},"page":"2030001","source":"Crossref","is-referenced-by-count":26,"title":["CWT \u00d7 DWT \u00d7 DTWT \u00d7 SDTWT: Clarifying terminologies and roles of different types of wavelet transforms"],"prefix":"10.1142","volume":"18","author":[{"given":"Rodrigo Capobianco","family":"Guido","sequence":"first","affiliation":[{"name":"Instituto de Bioci\u00eancias, Letras e Ci\u00eancias Exatas, Unesp \u2013 Univ Estadual Paulista (S\u00e3o Paulo State University), Rua Crist\u00f3v\u00e3o Colombo 2265, Jd Nazareth, 15054-000, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil"}]},{"given":"Fernando","family":"Pedroso","sequence":"additional","affiliation":[{"name":"Instituto de Bioci\u00eancias, Letras e Ci\u00eancias Exatas, Unesp \u2013 Univ Estadual Paulista (S\u00e3o Paulo State University), Rua Crist\u00f3v\u00e3o Colombo 2265, Jd Nazareth, 15054-000, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil"},{"name":"Centro Estadual de Educa\u00e7\u00e3o, Tecnol\u00f3gica Paula Souza (CEETEPS), State of S\u00e3o Paulo, Brazil"}]},{"given":"Andr\u00e9","family":"Furlan","sequence":"additional","affiliation":[{"name":"Instituto de Bioci\u00eancias, Letras e Ci\u00eancias Exatas, Unesp \u2013 Univ Estadual Paulista (S\u00e3o Paulo State University), Rua Crist\u00f3v\u00e3o Colombo 2265, Jd Nazareth, 15054-000, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil"},{"name":"Centro Estadual de Educa\u00e7\u00e3o, Tecnol\u00f3gica Paula Souza (CEETEPS), State of S\u00e3o Paulo, Brazil"}]},{"given":"Rodrigo Colnago","family":"Contreras","sequence":"additional","affiliation":[{"name":"Instituto de Bioci\u00eancias, Letras e Ci\u00eancias Exatas, Unesp \u2013 Univ Estadual Paulista (S\u00e3o Paulo State University), Rua Crist\u00f3v\u00e3o Colombo 2265, Jd Nazareth, 15054-000, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil"},{"name":"Universidade de S\u00e3o Paullo (USP), Av Trabalhador S\u00e3oCarlense 400, 13566-590, S\u00e3o Carlos, SP, Brazil"}]},{"given":"Luiz Gustavo","family":"Caobianco","sequence":"additional","affiliation":[{"name":"Instituto de Bioci\u00eancias, Letras e Ci\u00eancias Exatas, Unesp \u2013 Univ Estadual Paulista (S\u00e3o Paulo State University), Rua Crist\u00f3v\u00e3o Colombo 2265, Jd Nazareth, 15054-000, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil"},{"name":"Universidade de S\u00e3o Paullo (USP), Av Trabalhador S\u00e3oCarlense 400, 13566-590, S\u00e3o Carlos, SP, Brazil"}]},{"given":"Jogi Suda","family":"Neto","sequence":"additional","affiliation":[{"name":"Instituto de Bioci\u00eancias, Letras e Ci\u00eancias Exatas, Unesp \u2013 Univ Estadual Paulista (S\u00e3o Paulo State University), Rua Crist\u00f3v\u00e3o Colombo 2265, Jd Nazareth, 15054-000, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2020,8,28]]},"reference":[{"key":"S0219691320300017BIB001","volume-title":"Wavelets and Filter Banks","author":"Strang G.","year":"1997"},{"key":"S0219691320300017BIB002","volume-title":"The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance","author":"Addison P.","year":"2016","edition":"2"},{"key":"S0219691320300017BIB004","doi-asserted-by":"crossref","DOI":"10.1002\/9781119113119","volume-title":"Discrete Wavelet Transform: A Signal Processing Approach","author":"Sundararajan D.","year":"2015"},{"issue":"7","key":"S0219691320300017BIB005","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1016\/j.aml.2011.02.018","volume":"24","author":"Guido R. 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