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
Main Authors: Mawardi Bahri, Samsul Ariffin Abdul Karim
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute (MDPI) 2022
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/42507/1/FULL%20TEXT.pdf
https://eprints.ums.edu.my/id/eprint/42507/
https://doi.org/10.3390/math10193502
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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.