An interplay between quadratic-phase Fourier and Zak transforms

Abstract

The advent of the quadratic-phase Fourier transform (QPFT) is one of the contemporary developments in the context of integral transforms. This article focuses on an interplay between the well-known Zak transform and the QPFT. To begin with, we formulate the Zak transform in quadratic-phase Fourier domain, braced with an example. In addition, we establish a novel convolution structure in the context of quadratic-phase Zak transform and obtain the corresponding convolution theorem. Finally, we study the Weyl–Heisenberg frames associated with the Quadratic-phase Zak Transform.