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: MDPI AG 2022-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/19/3502
Description
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