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Fourier Analysis for Discrete-Time Processes

  • Suresh R. Devasahayam
Chapter
  • 1.1k Downloads
Part of the Topics in Biomedical Engineering International Book Series book series (TOBE)

Abstract

A discrete function or discrete-time signal can be decomposed into a series of discrete sinusoids. An important difference between Fourier decompositions of continuous-time functions and discrete-time functions is that the process of sampling during discretization renders the Fourier transformations of discrete-time signals periodic. The repetition period of the Fourier function corresponds to the sampling frequency. This property of discrete-time Fourier conversions places some important restrictions on analytical techniques as we shall see.

Keywords

Fast Fourier Transform Discrete Fourier Transform Frequency Resolution Window Function Fourier Domain 
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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References

  1. 1.
    A.V. Oppenheim and R.W. Schafer Discrete-Time Signal Processing, Prentice Hall, 1989.zbMATHGoogle Scholar
  2. 2.(i)
    R.E. Challis & R.I. Kitney, Biomedical Signal Processing (in four parts) Part I: Time-domain methods, Med.& Biol.Eng. & Comput., 28, 509–524, (1991).Google Scholar
  3. (ii).
    R.E. Challis & R.I. Kitney, Biomedical Signal Processing (in four parts) Part II: The frequency transforms and their interrelationships, Med.& Biol.Eng. & Comput.,29, 1–17, (1991).CrossRefGoogle Scholar
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    R.E. Challis & R.I. Kitney, Biomedical Signal Processing (in four parts) Part III: The Power Spectrum and coherence function, Med.& Biol.Eng. & Comput., 29, 225–241, (1991).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Suresh R. Devasahayam
    • 1
  1. 1.School of Biomedical EngineeringIndian Institute of TechnologyBombayIndia

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