Angular decompositions for the discrete fractional signal transforms

This paper is concerned with the angular decomposition methods for the discrete fractional signal transforms. The proposed angular decomposition algorithm can be applied to many discrete fractional signal transforms, which are developed by eigen decomposition. By this angular decomposition, the discrete fractional signal transforms can be computed by a weighted summation of the transform evaluated at special angles. And the weighting coefficients are just equal to the inverse discrete Fourier transform of the eigenvalues of the fractional signal transform kernels.