Digital Signal Processing

  • Pierre Brémaud


Suppose we need to compute numerically the FT of a stable signal s(t). In practice only a finite vector of samples is available,
$$s = \left( {{s_0},...,{s_{N - 1}}} \right)$$
where s n = s(nΔ). The Fourier sum of this vector evaluated at pulsations ω k = 2kπ/N is the discrete Fourier transform (DFT).


Impulse Response Discrete Fourier Transform Digital Signal Processing Inversion Formula Laurent Expansion 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Pierre Brémaud
    • 1
    • 2
  1. 1.École Polytechnique Fédérale de LausanneSwitzerland
  2. 2.INRIA/École Normale SupérieureFrance

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