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

Autor(es)

Guido, Rodrigo Capobianco ^[1] ; Pedroso, Fernando ^{[1, 2]} ; Furlan, Andre ^{[1, 2]} ; Contreras, Rodrigo Colnago ^{[1, 3]} ; Caobianco, Luiz Gustavo ^{[1, 3]} ; Neto, Jogi Suda ^[1]

Afiliação do(s) autor(es)

^[1] Sao Paulo State Univ, Unesp Univ Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

^[2] Ctr Estadual Educ Tecnol Paula Souza CEETEPS, Sao Paulo, SP - Brazil

^[3] Univ Sao Paullo USP, Av Trabalhador SaoCarlense 400, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo de Revisão
• Fonte: INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING; v. 18, n. 6 NOV 2020.
• Citações Web of Science: 0

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. (AU)

• Processo FAPESP: 19/04475-0 - Análise Paraconsistente de Características dos Sinais de Fala: combatendo os ataques de voice spoofing
• Beneficiário: Rodrigo Capobianco Guido
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 15/14358-0 - Uso de Simetrias em Análise Visual de Dados Massivos
• Beneficiário: Rodrigo Colnago Contreras
• Modalidade de apoio: Bolsas no Brasil - Doutorado