Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform

Mawardi Bahri and Samsul Ariffin Abdul Karim ()
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Mawardi Bahri: Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia
Samsul Ariffin Abdul Karim: Software Engineering Programme, Faculty of Computing and Informatics, University Malaysia Sabah, Kota Kinabalu 88400, Malaysia

Mathematics, 2022, vol. 10, issue 19, 1-17

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.

Keywords: linear canonical wavelet transform; uncertainty principle; Pitt’s inequality; logarithmic uncertainty principle (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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