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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 ...
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, ...
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 ...
A fault location method using Lamb waves and discrete wavelet transform
(Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM, 2012)
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 ...