Convolution, Correlation and Uncertainty Principle in the One-Dimensional Quaternion Quadratic-Phase Fourier Transform Domain

Autor:	Mohammad Younus Bhat, Aamir H. Dar, Mohra Zayed, Altaf A. Bhat
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	quadratic-phase Fourier transform quaternion quadratic-phase Fourier transform convolution two-dimensional inversion formula Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 13, p 3002 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11133002
Popis:	In this paper, we present a novel integral transform known as the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT) of integrable (and square integrable) functions on R. Later on, we show that 1D-QQPFT satisfies all the respective properties such as inversion formula, linearity, Moyal’s formula, convolution theorem, correlation theorem and uncertainty principle. Moreover, we use the proposed transform to obtain an inversion formula for two-dimensional quaternion quadratic-phase Fourier transform. Finally, we highlight our paper with some possible applications.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/5d2f949f44bb4cab81fc64e7a16f851e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.