基于Hermite特征矢量的二维离散分数维变换

Two Dimensional Discrete Fractional Fourier Transform Based on the Hermite Eigenvectors

分数维变换()是分析时变信号的强有力工具之一,它可实现信号在时频域中任何角度的旋转。由于分数维变换的重要性,实FRFT现离散分数维变换()则显得很重要。根据具有的特征矢量这一特性,对二维离散信号进行二维分析,此方DFRFTDFRFTDFTHermiteDFRFT法既可满足旋转特性,且又可获得与连续相似的结果。

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. ;;