Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform

The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform. In this article, we first present a direct interaction between the linear canonical transform and Fourier transform to obtain the generalization...

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Bibliographic Details
Published in:Mathematics (Basel) 2022-09, Vol.10 (19), p.3502
Main Authors: Bahri, Mawardi, Karim, Samsul Ariffin Abdul
Format: Article
Language:English
Subjects:
Food science
Fourier transformations
Fourier transforms
linear canonical wavelet transform
logarithmic uncertainty principle
Mathematical functions
Pitt’s inequality
Principles
Quantum physics
Uncertainty (Information theory)
uncertainty principle
Uncertainty principles
Wavelet transforms
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Summary:The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform. In this article, we first present a direct interaction between the linear canonical transform and Fourier transform to obtain the generalization of the uncertainty principles related to the linear canonical transform. We develop these principles for constructing some uncertainty principles concerning the linear canonical wavelet transform.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10193502