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Discrete Fourier Transform

  • Leland B. Jackson
Chapter

Abstract

In chapter 6, we investigated the definition and properties of the discrete-time Fourier transform X(e ), with ω being a continuous frequency variable, and found it to be very useful for analyzing a wide variety of signals and systems of theoretical interest. However, much of the practice of digital signal processing is done in computers where we cannot evaluate a continuum of frequencies ω, nor can we input and store an infinite-duration sequence x(n). Hence, for actual data sequences, as opposed to theoretically defined signals, we cannot compute the Fourier transform, in general.

Keywords

Discrete Fourier Transform Chinese Remainder Theorem Hanning Window Rectangular Window Circular Convolution 
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 1996

Authors and Affiliations

  • Leland B. Jackson
    • 1
  1. 1.University of Rhode IslandUSA

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