Title
A convolution and product theorem for the fractional Fourier transform
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
DOI Link
Language
English
First Page
101
Last Page
103
WOS Identifier
ISSN
1070-9908
Recommended Citation
"A convolution and product theorem for the fractional Fourier transform" (1998). Faculty Bibliography 1990s. 2517.
https://stars.library.ucf.edu/facultybib1990/2517
Comments
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