Title

A convolution and product theorem for the fractional Fourier transform

Authors

Authors

A. I. Zayed

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

IEEE Signal Process. Lett.

Keywords

convolution and product theorems; fractional Fourier transform; WIGNER; Engineering, Electrical & Electronic

Abstract

The fractional Fourier transform (FRFT), which is a generalization of the Fourier transform, has many applications in several areas, including signal processing and optics, In two recent papers, Almeida and Mendlovic et al, derived fractional Fourier transforms of a product and of a convolution of two functions, Unfortunately, their convolution formulas do not generalize very nicely the classical result for the Fourier transform, which states that the Fourier transform of the convolution of two functions is the product of their Fourier transforms, The purpose of this note is to introduce a new convolution structure for the FRFT that preserves the convolution theorem for the Fourier transform and is also easy to implement in the designing of filters.

Journal Title

Ieee Signal Processing Letters

Volume

5

Issue/Number

4

Publication Date

1-1-1998

Document Type

Article

Language

English

First Page

101

Last Page

103

WOS Identifier

WOS:000072942300008

ISSN

1070-9908

Share

COinS