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Two Dimensional Discrete Fractional Fourier Transform Based on the Hermite Eigenvectors

Yin-Jun Chen

Abstract

Fractional Fourier transform (FRFT) becomes an important tool for time-variant signal analysis, and performs a rotation of signals in the time-frequency plane. Because of the importance of the fractional Fourier transform, the implementation of discrete fractional Fourier transformwill be an importance issue. The 2D discrete fraction Fourier transform based on the discrete Hermite eigenvectors is used to analyze the 2D discrete signals in this paper. This DFRFT can preserve the rotation properties and provide similar results to continuous FRFT. ;;

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