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Fast Fourier Transforms

  • Gerlind Plonka
  • Daniel Potts
  • Gabriele Steidl
  • Manfred Tasche
Chapter
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

As shown in Chap.  3, any application of Fourier methods leads to the evaluation of a discrete Fourier transform of length N (DFT(N)). Thus the efficient computation of DFT(N) is very important. Therefore this chapter treats fast Fourier transforms. A fast Fourier transform (FFT) is an algorithm for computing the DFT(N) which needs only a relatively low number of arithmetic operations.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Gerlind Plonka
    • 1
  • Daniel Potts
    • 2
  • Gabriele Steidl
    • 3
  • Manfred Tasche
    • 4
  1. 1.University of GöttingenGöttingenGermany
  2. 2.Chemnitz University of TechnologyChemnitzGermany
  3. 3.TU KaiserslauternKaiserslauternGermany
  4. 4.University of RostockRostockGermany

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