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CWT x DWT x DTWT x SDTWT: Clarifying terminologies and roles of different types of wavelet transforms
(2020-01-01)
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 ...
Stereographic wavelet frames on the sphere
(Academic Press Inc Elsevier Science, 2005-09)
In this paper we exploit the continuous wavelet transform (CWT) on the two-dimensional sphere S2, introduced previously by two of us, to build associated discrete wavelet frames. We first explore half-continuous frames, ...
Projeto de bancos de filtros wavelet quase-ortogonais simétricos e de suporte compacto baseado no processo de ortogonalização wavelet
(Universidade Estadual Paulista (Unesp), 2021-02-09)
A análise wavelet baseada em um banco de filtros de dois canais tem sido usada com frequência em várias aplicações. O algoritmo utilizado para tal propósito é a transformada wavelet rápida, que permite obter os coeficientes ...
Some scale-time localization properties of the continuous wavelet transform
(Asociación Argentina de Matemática Aplicada, Computacional e Industrial, 2017)
Time-Frequency localization or concentration principles are fundamental concepts of signal processing and related fields. We shall prove some simultaneous localization or concentration inequalities for the ContinuousWavelet ...
A note on directional wavelet transform: distributional boundary values and analytic wavefront sets
(International Journal of Mathematics and Mathematical Sciences, 2018)
Estudo da transformada rápida wavelet e sua conexão com banco de filtros
(Universidade Federal do Rio Grande do NorteBRUFRNPrograma de Pós-Graduação em Matemática Aplicada e EstatísticaProbabilidade e Estatística; Modelagem Matemática, 2008-09-17)
In this work we presented an exhibition of the mathematical theory of orthogonal compact support wavelets in the context of multiresoluction analysis. These are particularly attractive wavelets because they lead to a stable ...
ALTERNATIVE APPROACHES TO THE SPECTRAL QUANTITATIVE RESOLUTION of TWO-COMPONENT MIXTURE BY WAVELET FAMILIES
(Sociedad Chilena de Química, 2009)
Non-decimated Wavelet Transform for a Shift-invariant Analysis
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2018)
Due to the ability of time-frequency location, the wavelet transform has been applied in several areas of research involving signal analysis and processing, often replacing the conventional Fourier transform. The discrete ...
Analog realizations for decomposition and reconstruction of real time signals using the wavelet transform
(Instituto Nacional de Astrofísica, Óptica y Electrónica, 2009)
Analog realizations for decomposition and reconstruction of real time signals using the wavelet transform
(Instituto Nacional de Astrofísica, Óptica y Electrónica, 2009)