Improved discrete fractional Fourier transform

Soo‐Chang Pei, Min-Hung Yeh

Type: Article

Publication Date: 1997-07-15

Citations: 185

DOI: https://doi.org/10.1364/ol.22.001047

Abstract

The fractional Fourier transform is a useful mathematical operation that generalizes the well-known continuous Fourier transform. Several discrete fractional Fourier transforms (DFRFT's) have been developed, but their results do not match those of the continuous case. We propose a new DFRFT. This improved DFRFT provides transforms similar to those of the continuous fractional Fourier transform and also retains the rotation properties.

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