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.
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