Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 13
Donoho-Stark’s and Hardy’s Uncertainty Principles for the Short-time Quaternion Offset Linear Canonical Transform
Mohammad younus Bhat
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
October 20, 2021
March 03, 2030
April 15, 2030

Abstract: The quaternion offset linear canonical transform (QOLCT) which is time- shifted and frequency-modulated version of the quaternion linear canonical transform (QLCT) provides a more general framework of most existing signal processing tools. For the generalized QOLCT, the classical Heisenberg’s and Lieb’s uncertainty principles have been studied recently. In this paper, we first define the short-time quaternion offset linear canonical transform (ST-QOLCT) and drive its relationship with the quaternion Fourier transform (QFT). The crux of the paper lies in the generalization of several well ...