[picture of book]

The Scientist and Engineer's
Guide to Digital Signal Processing

by Steven W. Smith
California Technical Publishing

ISBN 0-9660176-3-3 (1997)



Chapter 11. Fourier Transform Pairs
  • Delta Function Pairs
  • The Sinc Function
  • Other Transform Pairs
  • Gibbs Effect
  • Harmonics
  • Chirp Signals
  • Summary of the key concepts
For every time domain waveform there is a corresponding frequency domain waveform, and vice versa. For example, a rectangular pulse in the time domain coincides with a sinc function in the frequency domain. Duality provides that the reverse is also true; a rectangular pulse in the frequency domain matches a sinc function in the time domain. Waveforms that correspond to each other in this manner are called Fourier transform pairs. Several common pairs are presented in this chapter.



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