Discrete quadratic-phase Fourier transform: Theory and convolution structures
Date
2022
Authors
Srivastava, H.M.
Lone, Waseem Z.
Shah, Firdous A.
Zayed, Ahmed I.
Journal Title
Journal ISSN
Volume Title
Publisher
Entropy
Abstract
The discrete Fourier transform is considered as one of the most powerful tools in digital
signal processing, which enable us to find the spectrum of finite-duration signals. In this article,
we introduce the notion of discrete quadratic-phase Fourier transform, which encompasses a wider
class of discrete Fourier transforms, including classical discrete Fourier transform, discrete fractional
Fourier transform, discrete linear canonical transform, discrete Fresnal transform, and so on. To
begin with, we examine the fundamental aspects of the discrete quadratic-phase Fourier transform,
including the formulation of Parseval’s and reconstruction formulae. To extend the scope of the
present study, we establish weighted and non-weighted convolution and correlation structures
associated with the discrete quadratic-phase Fourier transform.
Description
Keywords
quadratic-phase Fourier transform, discrete quadratic-phase Fourier transform, convolution
Citation
Srivastava, H. M., Lone, W. Z., Shah, F. A., & Zayed, A. I. (2022). “Discrete quadratic-phase Fourier transform: Theory and convolution structures.” Entropy, 24(10), 1340. https://doi.org/10.3390/e24101340