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Which academic paper does this implementation come from

Open sevagh opened this issue 4 years ago • 1 comments

Hello, I'm trying to study more about the origins of the nonuniform FFT.

It looks like the most recent research is from https://finufft.readthedocs.io/en/latest/refs.html, which derives from Greengard and Lee "Accelerating the Nonuniform Fast Fourier Transform", which in turn cites:

  • A. Dutt and V. Rokhlin,Fast Fourier transforms for nonequispaced data, SIAM J. Sci.Comput., 14 (1993), pp. 1368–1393.
  • and possibly: S. Bagchi and S. Mitra,The Nonuniform Discrete Fourier Transform and Its Applications in Signal Processing, Kluwer Academic, Boston, 1999.

Do you happen to know what the "canonical lineage" of the NUFFT is? Or, at least, the implementation in this codebase? Thanks.

sevagh avatar Mar 30 '21 14:03 sevagh

Hello,

the pnfft was implemented by Michael Pippig. Please consult the publications which you can find on his website

https://www-user.tu-chemnitz.de/~potts/workgroup/pippig/publikationen.php

You may find further relevant articles here:

https://www-user.tu-chemnitz.de/~potts/publikationen.php#preprint

best regards!

Zitat von sevagh @.***>:

Hello, I'm trying to study more about the origins of the nonuniform FFT.

It looks like the most recent research is from
https://finufft.readthedocs.io/en/latest/refs.html, which derives
from Greengard and Lee "Accelerating the Nonuniform Fast Fourier
Transform", which in turn cites:

  • A. Dutt and V. Rokhlin,Fast Fourier transforms for nonequispaced
    data, SIAM J. Sci.Comput., 14 (1993), pp. 1368–1393.
  • and possibly: S. Bagchi and S. Mitra,The Nonuniform Discrete
    Fourier Transform and Its Applicationsin Signal Processing, Kluwer
    Academic, Boston, 1999.

Do you happen to know what the "canonical lineage" of the NUFFT is?
Or, at least, the implementation in this codebase? Thanks.

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FranziskaN avatar Apr 06 '21 07:04 FranziskaN