ICASSP 2026poster0 citations

On Multiangle Discrete Fractional Periodic Transforms

Christian Oswald

Abstract

The efficient multiangle centered discrete fractional Fourier transform (MA-CDFRFT) [1] has proven to be a useful tool for time-frequency analysis; in this paper, we generalize the MA-CDFRFT to general M -periodic transforms, which, among others, include the standard discrete Fourier, discrete sine, discrete cosine, Hadamard and discrete Hartley transform. Furthermore, we exploit the symmetries inherent to the MA-CDFRFT and our novel multiangle standard discrete fractional Fourier transform (MA-DFRFT) to halve the number of FFTs needed to compute these transforms, which paves the way for applications in resource-constrained environments.

BibTeX
@inproceedings{icassp2026_onmultiangledisc,
  title = {On Multiangle Discrete Fractional Periodic Transforms},
  author = {Christian Oswald},
  booktitle = {ICASSP 2026},
  year = {2026}
}