Fast Fourier transforms for nonequispaced data: A tutorial

  • Potts D
  • Steidl G
  • Tasche M
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Abstract

In this section, we consider approximate methods
for the fast computiation of multivariate discrete
Fourier transforms for nonequispaced data (NDFT) in
the time domain and in the frequency domain. In
particular, we are interested in the approximation
error as function of arithmetic complexity of the
algorithm. We discuss the robustness of
NDFT-algorithms with respect to roundoff errors and
apply NDFT-algorithms for the fast computation of
Bessel transforms.

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Authors

  • Daniel Potts

  • Gabriele Steidl

  • Manfred Tasche

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