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Discrete wavelet transforms for Toeplitz matrices
Linear Algebra and Its Applications, 2003 In this paper, we discuss discrete wavelet transforms for Toeplitz matrices and block-Toeplitz-Toeplitz-block matrices. The main contribution of this paper is to give the Toeplitz-like structure of the wavelet transformed Toeplitz matrices, and show that
Fu-Rong Lin +2 more
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Eye State Identification Based on Discrete Wavelet Transforms
Applied Sciences, 2021 We present a prototype to identify eye states from electroencephalography signals captured from one or two channels. The hardware is based on the integration of low-cost components, while the signal processing algorithms combine discrete wavelet ...
Francisco Laport +4 more
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Continuous and Discrete Wavelet Transforms Associated with Hermite Transform
International Journal of Analysis and Applications, 2020 In this paper, we accomplished the concept of continuous and discrete Hermite wavelet transforms. We also discussed some basic properties of Hermite wavelet transform.
C. P. Pandey, Pranami Phukan
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Fast algorithms for discrete and continuous wavelet transforms
IEEE Transactions on Information Theory, 1992 Several algorithms are reviewed for computing various types of wavelet transforms: the Mallat algorithm, the “a trous” algorithm and their generalizations by Shensa.
Olivier Rioul, P Duhamel
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Discrete Wavelet Transform [PDF]
, 1998 In general, discrete wavelet transforms are generated by samplings (in the time-scale plane) of a rorn sponding continuous wavelet transform.
Ramazan Gençay +2 more
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Discrete Wavelet Transforms [PDF]
, 2011 Discrete wavelet transform (DWT) algorithms have become standard tools for discrete-time signal and image processing in several areas in research and industry.
core +8 more sources
The Improvement of the Discrete Wavelet Transform
Mathematics, 2023 Discrete wavelet transforms are widely used in signal processing, data compression and spectral analysis. For discrete data with finite sizes, one always pads the data with zeros or extends the data into periodic data before performing the discrete ...
Zhihua Zhang
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Pearson Correlation and Discrete Wavelet Transform for Crack Identification in Steel Beams
Mathematics, 2022 Discrete wavelet transform is a useful means for crack identification of beam structures. However, its accuracy is severely dependent on the selecting mother wavelet and vanishing moments, which raises a significant challenge in practical structural ...
Morteza Saadatmorad +4 more
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Sensors, 2021 The paper aims to analyze the performance of the damage identification algorithms using the directional wavelet transforms, which reveal higher sensitivity for various orientations of spatial damage together with lower susceptibility to noise.
Andrzej Katunin
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Continuous and Discrete Wavelet Transforms [PDF]
SIAM Review, 1989 This paper is an expository survey of results on integral representations and discrete sum expansions of functions in $L^2 ({\bf R})$ in terms of coherent states. Two types of coherent states are considered: Weyl–Heisenberg coherent states, which arise from translations and modulations of a single function, and affine coherent states, called ’wavelets,’
Christopher Heil, David Francis Walnut
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