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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 ...
A note on a practical relationship between filter coefficients and scaling and wavelet functions of Discrete Wavelet Transforms
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
In this paper, the relationship between the filter coefficients and the scaling and wavelet functions of the Discrete Wavelet Transform is presented and exemplified from a practical point-of-view. The explanations complement ...
Common architecture for discrete wavelet transform analysis and synthesis with sequential and constant processing elements
(2004-10-08)
This paper adresses the problem on processing biological data such as cardiac beats, audio and ultrasonic range, calculating wavelet coefficients in real time, with processor clock running at frequency of present ASIC's ...
Common architecture for discrete wavelet transform analysis and synthesis with sequential and constant processing elements
(2004-10-08)
This paper adresses the problem on processing biological data such as cardiac beats, audio and ultrasonic range, calculating wavelet coefficients in real time, with processor clock running at frequency of present ASIC's ...
Fusing time, frequency and shape-related information: Introduction to the Discrete Shapelet Transform's second generation (DST-II)
(2018-05-01)
This article introduces the second generation of the Discrete Shapelet Transform (DST-II), a tool created for fusing three types of information: time, frequency and shape-related. Considered a particular Discrete Wavelet ...
Nearly symmetric orthogonal wavelets for time-frequency-shape joint analysis: Introducing the discrete shapelet transform's third generation (DST-III) for nonlinear signal analysis
(2021-06-01)
This article introduces the third generation of an interesting tool created for time-frequency-shape (TFS) joint analysis. Called Discrete Shapelet Transform (DST-III), it improves both its predecessors, i.e., DST-I and ...
Multiscale Analysis of GPS Time Series from Non-decimated Wavelet to Investigate the Effects of Ionospheric Scintillation
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2015-08-01)
Due to the numerous application possibilities, the theory of wavelets has been applied in several areas of research. The Discrete Wavelet Transform is the most known version. However, the downsampling required for its ...
A fault location method using Lamb waves and discrete wavelet transform
(Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM, 2012)
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 ...