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Continuous Wavelet Transform Involving Linear Canonical Transform

National Academy Science Letters, 2018
The main objective of this paper is to study the continuous wavelet transform involving linear canonical transform (LCT) and some of its basic properties. The inversion formula and the Parseval’s relation of continuous wavelet transform are discussed. Moreover, discrete wavelet transform based on LCT is defined and studied its basic properties.
Akhilesh Prasad, Z. A. Ansari
openaire   +1 more source

Hardy’s theorem for the continuous wavelet transform

Journal of Pseudo-Differential Operators and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radha, R., Sarvesh, K.
openaire   +2 more sources

Optical implementation of the continuous wavelet transform

Applied Optics, 1998
A simple optical implementation for the one-dimensional wavelet transform (WT) is proposed. In contrast with previous WT optical implementations, the obtained WT is continuous along both axes (dilation and shift). An optical implementation to the inverse WT is proposed as well. Thus an optical continuous WT processor can be implemented.
G, Shabtay, D, Mendlovic, Z, Zalevsky
openaire   +2 more sources

BRIDGE INTEGRITY ASSESSMENT BY CONTINUOUS WAVELET TRANSFORMS

International Journal of Structural Stability and Dynamics, 2009
The potential of continuous wavelet transforms for damage assessment of existing bridges is investigated herein. Different types of continuous wavelet transforms have been under investigation and the most effective ones have been introduced in a toolbox to automate the damage assessment procedure.
Alvandi, A.   +3 more
openaire   +1 more source

The continuous wavelet transform in n-dimensions

International Journal of Wavelets, Multiresolution and Information Processing, 2016
Daubechies obtained the [Formula: see text]-dimensional inversion formula for the continuous wavelet transform of spherically symmetric wavelets in [Formula: see text] with convergence interpreted in the [Formula: see text]-norm. From the wavelet [Formula: see text], Daubechies generated a doubly indexed family of wavelets [Formula: see text] by ...
Pandey, J. N., Jha, N. K., Singh, O. P.
openaire   +2 more sources

Wavelet transforms and downward continuation

1994
Applications of wavelet theory [5, 6] to the numerical solution of partial differential equations and integral operators is a rapidly developing topic of research [1]. For a large class of integral operators, with smooth slowly decaying kernels, the matrices approximating these operators which are dense in the natural basis become sparser for the same ...
Ronan Bras, George Mellman
openaire   +1 more source

Continuous Wavelet and Gabor Transforms

1998
The continuous wavelet transform (CWT) as well as the continuous Gabor transform (CGT) (also known as the short-time Fourier transform) and their inverses are presented in this chapter. Both the CGT and the CWT take a one-dimensional time signal to a two-dimensional function of time and frequency.
openaire   +1 more source

Simulating nonstationary non-Gaussian vector process based on continuous wavelet transform

Mechanical Systems and Signal Processing, 2022
Xz Cui, H P Hong
exaly  

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