2002•Unpublished venueRequires access

Discrete fractional Fourier transform

Soo‐Chang Pei, Min-Hung Yeh

Abstract

The continuous fractional Fourier transform (FRFT) represents a rotation of signal in time-frequency plane, and it has become an important tool for signal analysis. A discrete version of fractional Fourier transform has been developed but its results do not match those of continuous case. In this paper, we propose a new version of discrete fractional Fourier transform (DFRFT). This new DFRFT will provide similar transforms as those of continuous fractional Fourier transform and also hold the rotation properties.

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Available abstract

Key concepts: Fractional Fourier transform, Non-uniform discrete Fourier transform, Discrete Fourier transform (general), Discrete-time Fourier transform, Short-time Fourier transform, Fourier transform, Discrete sine transform, Discrete Hartley transform