Novel uncertainty principles concerning linear canonical wavelet transform

Mawardi Bahri and Samsul Ariffin Abdul Karim (2022) Novel uncertainty principles concerning linear canonical wavelet transform. Mathematics, 10. pp. 1-17.

[img] Text
FULL TEXT.pdf
Restricted to Registered users only

Download (314kB) | Request a copy

Abstract

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.

Item Type: Article
Keyword: Linear canonical wavelet transform, uncertainty principle, Pitt’s inequality, Logarithmic uncertainty principle
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics > QA1-43 General
Q Science > QA Mathematics > QA1-939 Mathematics > QA71-90 Instruments and machines > QA75.5-76.95 Electronic computers. Computer science
Department: FACULTY > Faculty of Computing and Informatics
Depositing User: SITI AZIZAH BINTI IDRIS -
Date Deposited: 31 Dec 2024 11:22
Last Modified: 31 Dec 2024 11:22
URI: https://eprints.ums.edu.my/id/eprint/42507

Actions (login required)

View Item View Item