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Periodic Signals and Fourier Series

  • Claude Gasquet
  • Patrick Witomski
Part of the Texts in Applied Mathematics book series (TAM, volume 30)

Abstract

The question is this: If f : ℝ → ℂ is an arbitrary function with period α, can we find a decomposition of f of the form
$$f(t) = \sum {{c_n}} {e^{2i\pi n\frac{t}{a}}}?$$
(4.1)

Keywords

Fourier Series Fourier Coefficient Periodic Signal Trigonometric Polynomial Periodic Window 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Claude Gasquet
    • 1
  • Patrick Witomski
    • 2
  1. 1.Université Joseph Fourier (Grenoble I)France
  2. 2.Laboratoire LMCIMAGTour IRMAGrenoble, Cedex 09France

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