Description of FFTLog from the FFTLog-Website

FFTLog is a set of fortran subroutines that compute the fast Fourier or Hankel (= Fourier-Bessel) transform of a periodic sequence of logarithmically spaced points.

FFTLog can be regarded as a natural analogue to the standard Fast Fourier Transform (FFT), in the sense that, just as the normal FFT gives the exact (to machine precision) Fourier transform of a linearly spaced periodic sequence, so also FFTLog gives the exact Fourier or Hankel transform, of arbitrary order m, of a logarithmically spaced periodic sequence.

FFTLog shares with the normal FFT the problems of ringing (response to sudden steps) and aliasing (periodic folding of frequencies), but under appropriate circumstances FFTLog may approximate the results of a continuous Fourier or Hankel transform.

The FFTLog algorithm was originally proposed by Talman (1978).

For the full documentation, see jila.colorado.edu/~ajsh/FFTLog.

Installation

You can install pyfftlog either via conda:

conda install -c conda-forge pyfftlog

or via pip:

pip install pyfftlog

License, Citation, and Credits

Released to the public domain under the CC0 1.0 License.

All releases have a Zenodo-DOI, which can be found on 10.5281/zenodo.3830364.

Be kind and give credits by citing Hamilton (2000). See the references-section in the manual for full references.