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Signals and Systems

  • David F. Walnut
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

In the previous chapter, we considered piecewise continuous functions with period 1 and showed that it is possible to represent such functions as an infinite superposition of exponentials e n (t) = e 2πint , nZ. Each such exponential has period 1/n and hence completes n cycles per unit length (which we can interpret as measuring time).

Keywords

Impulse Response Discrete Fourier Transform Periodic Signal Finite Impulse Response Frequency Representation 
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 2004

Authors and Affiliations

  • David F. Walnut
    • 1
  1. 1.Department of Mathematical SciencesGeorge Mason UniversityFairfaxUSA

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