2-DIMENSIONAL DISCRETE FRACTIONAL FOURIER-TRANSFORM

Fractional Fourier transform (FRFT) performs a rotation of signals in the time-frequency plane, and it has many theories and applications in time-varying signal analysis. Because of the importance of fractional Fourier transform, the implementation of discrete fractional Fourier transform will be an important issue. Recently, a discrete fractional Fourier transform (DFRFT) with discrete Hermite eigenvectors has been proposed, and it can provide similar results to match the continuous o utputs. On the other hand, the two dimensional continuous fractional F ourier transform is also proposed for 2D signal analysis. This paper d evelops a 2D DFRFT which can preserve the rotation properties and prov ide similar results to continuous FRFT. (C) 1998 Elsevier Science B.V. All rights reserved.