A convolution and product theorem for the fractional Fourier transform

    Authors

    A. I. Zayed

    Comments

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    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

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