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Bandlimited Functions Sampling and the Discrete Fourier Transform

  • Wasyl Wasylkiwskyj
Chapter

Abstract

In the preceding chapters we have dealt exclusively with signals and their transformations defined on a continuous time interval. Such signals can be referred to as analogue signals. In this chapter we introduce the important topic of discrete signals, i.e., signals that are represented by sequences of numbers. Sometimes these numbers can be interpreted as samples of a continuous signal taken at discrete time intervals. Such an interpretation is, however, not always possible or for that matter even necessary. Nevertheless, the subject is best introduced by starting with the idea of sampling. For this purpose we shall initially restrict the class of analogue signals which we propose to sample to so-called bandlimited functions.

Keywords

Discrete Fourier Transform Interpolation Formula Stationary Random Process Inverse Discrete Fourier Transform Bandlimited Function 
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.

Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  • Wasyl Wasylkiwskyj
    • 1
  1. 1.Engineering and Applied ScienceThe George Washington UniversityWashington, DCUSA

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