Signals and Systems

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


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).


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