Title

On the relationship between the Fourier and fractional Fourier transforms

Abstract

In recent years, the fractional Fourier transform has been the focus of many research papers. In this letter, we show that the fractional Fourier transform is nothing more than a variation of the standard Fourier transform and, as such, many of its properties, such as its inversion formula and sampling theorems, can be deduced from those of the Fourier transform by a simple change of variable.

Publication Date

12-1-1996

Publication Title

IEEE Signal Processing Letters

Volume

3

Issue

12

Number of Pages

310-311

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/97.544785

Socpus ID

0030413251 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0030413251

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