A novel wavelet transform in the quaternion quadratic-phase domain.
Published In: International Journal of Wavelets, Multiresolution & Information Processing, 2024, v. 22, n. 4. P. 1 1 of 3
Database: Academic Search Ultimate 2 of 3
Authored By: Bhat, M. Younus; Alamri, Osama Abdulaziz; Dar, Aamir H. 3 of 3
Abstract
In this paper, we propose a novel integral transform coined as quaternion quadratic-phase wavelet transform (QQPWLT) by invoking the elegant convolution structure associated with the quaternion quadratic-phase Fourier transform. First, we explore some mathematical properties of the QQPWLT, including the orthogonality relation, inversion formula, reproducing kernel and some notable inequalities. Second, we study Heisenberg's uncertainty principles and the logarithmic uncertainty principle associated with the quadratic-phase wavelet transform in quaternion domain. We culminate our investigation by presenting some illustrative examples. [ABSTRACT FROM AUTHOR]
Additional Information
- Source:International Journal of Wavelets, Multiresolution & Information Processing. 2024/07, Vol. 22, Issue 4, p1
- Document Type:Article
- Subject Area:History
- Publication Date:2024
- ISSN:0219-6913
- DOI:10.1142/S0219691324500024
- Accession Number:178557970
- Copyright Statement:Copyright of International Journal of Wavelets, Multiresolution & Information Processing is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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