Short time coupled fractional fourier transform and the uncertainty principle-Reference-Cited by-同舟云学术

Short time coupled fractional fourier transform and the uncertainty principle

Published:2021-06-01 Issue:3 Volume:24 Page:667-688
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Kamalakkannan Ramanathan¹,Roopkumar Rajakumar¹,Zayed Ahmed²

Affiliation:

1. Department of Mathematics Central University of Tamil Nadu Thiruvarur , India

2. Department of Mathematical Sciences DePaul University Chicago, IL , , USA

Abstract

Abstract In this paper, we introduce a short-time coupled fractional Fourier transform (scfrft) using the kernel of the coupled fractional Fourier transform (cfrft). We then prove that it satisfies Parseval’s relation, derive its inversion and addition formulas, and characterize its range on ℒ 2(ℝ2). We also study its time delay and frequency shift properties and conclude the article by a derivation of an uncertainty principle for both the coupled fractional Fourier transform and short-time coupled fractional Fourier transform.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2021-0029/pdf

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