Some essential relations for the quaternion quadratic-phase fourier transform.

Mawardi Bahri and Samsul Ariffin Abdul Karim (2023) Some essential relations for the quaternion quadratic-phase fourier transform. MATHEMATICS, 11. p. 1235. ISSN 2227-7390

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Abstract

Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a generalized version of the quaternion Fourier transform. We first give a definition of the quaternion quadratic-phase Fourier transform. We derive in detail some essential properties related to this generalized transformation. We explore how the quaternion quadratic-phase Fourier transform is related to the quaternion Fourier transform. It is shown that this relation allows us to obtain several versions of uncertainty principles concerning the quaternion quadratic-phase Fourier transform.

Item Type:	Article
Keyword:	Quaternion Fourier transform ; quaternion quadratic-phase Fourier transform; uncertainty principles.
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA150-272.5 Algebra Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis
Department:	FACULTY > Faculty of Computing and Informatics
Depositing User:	ABDULLAH BIN SABUDIN -
Date Deposited:	01 Sep 2023 08:45
Last Modified:	01 Sep 2023 08:45
URI:	https://eprints.ums.edu.my/id/eprint/36024

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