CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms

Detalhes bibliográficos
Autor(a) principal: Guido, Rodrigo Capobianco [UNESP]
Data de Publicação: 2020
Outros Autores: Pedroso, Fernando [UNESP], Furlan, André [UNESP], Contreras, Rodrigo Colnago [UNESP], Caobianco, Luiz Gustavo [UNESP], Neto, Jogi Suda [UNESP]
Tipo de documento: Conjunto de dados
Idioma: eng
Título da fonte: Repositório Institucional da UNESP (dados de pesquisa)
Texto Completo: http://dx.doi.org/10.1142/S0219691320300017
http://hdl.handle.net/11449/208009
Resumo: 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-frequency 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.
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spelling CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transformsContinuous wavelet transformdiscrete wavelet transformdiscrete-time wavelet transformstationary discrete-time wavelet transformwavelet applicationsWavelets 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-frequency 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.Instituto de Biociências Letras e Ciências Exatas Unesp-Univ Estadual Paulista (Saõ Paulo State University), Rua Cristóvaõ Colombo 2265, Jd NazarethCentro Estadual de Educacąõ Tecnológica Paula Souza (CEETEPS)Universidade de Saõ Paullo (USP), Av Trabalhador SaõCarlense 400Instituto de Biociências Letras e Ciências Exatas Unesp-Univ Estadual Paulista (Saõ Paulo State University), Rua Cristóvaõ Colombo 2265, Jd NazarethUniversidade Estadual Paulista (Unesp)Tecnológica Paula Souza (CEETEPS)Universidade de São Paulo (USP)Guido, Rodrigo Capobianco [UNESP]Pedroso, Fernando [UNESP]Furlan, André [UNESP]Contreras, Rodrigo Colnago [UNESP]Caobianco, Luiz Gustavo [UNESP]Neto, Jogi Suda [UNESP]2021-06-25T11:04:50Z2021-06-25T11:04:50Z2020-01-01Resenhainfo:eu-repo/semantics/datasetinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/datasethttp://dx.doi.org/10.1142/S0219691320300017International Journal of Wavelets, Multiresolution and Information Processing.0219-6913http://hdl.handle.net/11449/20800910.1142/S02196913203000172-s2.0-85091873872Scopusreponame:Repositório Institucional da UNESP (dados de pesquisa)instname:Universidade Estadual Paulista (UNESP)instacron:UNSPengInternational Journal of Wavelets, Multiresolution and Information Processinginfo:eu-repo/semantics/openAccess2021-10-23T18:47:18Zoai:repositorio.unesp.br:11449/208009Repositório de Dados de PesquisaPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:2021-10-23T18:47:18Repositório Institucional da UNESP (dados de pesquisa) - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
title CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
spellingShingle CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
Guido, Rodrigo Capobianco [UNESP]
Continuous wavelet transform
discrete wavelet transform
discrete-time wavelet transform
stationary discrete-time wavelet transform
wavelet applications
title_short CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
title_full CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
title_fullStr CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
title_full_unstemmed CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
title_sort CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
author Guido, Rodrigo Capobianco [UNESP]
author_facet Guido, Rodrigo Capobianco [UNESP]
Pedroso, Fernando [UNESP]
Furlan, André [UNESP]
Contreras, Rodrigo Colnago [UNESP]
Caobianco, Luiz Gustavo [UNESP]
Neto, Jogi Suda [UNESP]
author_role author
author2 Pedroso, Fernando [UNESP]
Furlan, André [UNESP]
Contreras, Rodrigo Colnago [UNESP]
Caobianco, Luiz Gustavo [UNESP]
Neto, Jogi Suda [UNESP]
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Tecnológica Paula Souza (CEETEPS)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Guido, Rodrigo Capobianco [UNESP]
Pedroso, Fernando [UNESP]
Furlan, André [UNESP]
Contreras, Rodrigo Colnago [UNESP]
Caobianco, Luiz Gustavo [UNESP]
Neto, Jogi Suda [UNESP]
dc.subject.por.fl_str_mv Continuous wavelet transform
discrete wavelet transform
discrete-time wavelet transform
stationary discrete-time wavelet transform
wavelet applications
topic Continuous wavelet transform
discrete wavelet transform
discrete-time wavelet transform
stationary discrete-time wavelet transform
wavelet applications
description 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-frequency 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.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
2021-06-25T11:04:50Z
2021-06-25T11:04:50Z
dc.type.driver.fl_str_mv Resenha
info:eu-repo/semantics/dataset
info:eu-repo/semantics/publishedVersion
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/dataset
format dataset
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1142/S0219691320300017
International Journal of Wavelets, Multiresolution and Information Processing.
0219-6913
http://hdl.handle.net/11449/208009
10.1142/S0219691320300017
2-s2.0-85091873872
url http://dx.doi.org/10.1142/S0219691320300017
http://hdl.handle.net/11449/208009
identifier_str_mv International Journal of Wavelets, Multiresolution and Information Processing.
0219-6913
10.1142/S0219691320300017
2-s2.0-85091873872
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Wavelets, Multiresolution and Information Processing
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP (dados de pesquisa)
instname:Universidade Estadual Paulista (UNESP)
instacron:UNSP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNSP
institution UNSP
reponame_str Repositório Institucional da UNESP (dados de pesquisa)
collection Repositório Institucional da UNESP (dados de pesquisa)
repository.name.fl_str_mv Repositório Institucional da UNESP (dados de pesquisa) - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv repositoriounesp@unesp.br
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