Improved discrete fractional Fourier transform

1997/07/15 by Soo-Chang Pei, Soo‐Chang Pei, Min-Hung Yeh · 4 citations
Mathematics · Computer Science · #Mathematical Analysis and Transform Methods #Image and Signal Denoising Methods #Digital Filter Design and Implementation

paper · doi: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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