[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 20. Chebyshev Filters
  • The Chebyshev and Butterworth Responses
  • Designing the Filter
  • Step Response Overshoot
  • Stability
  • Summary of the key concepts
Chebyshev filters are used to separate one band of frequencies from another. Although they cannot match the performance of the windowed-sinc filter, they are more than adequate for many applications. The primary attribute of Chebyshev filters is their speed, typically more than an order of magnitude faster than the windowed-sinc. This is because they are carried out by recursion rather than convolution. The design of these filters is based on a mathematical technique called the z- transform, discussed in Chapter 31. This chapter presents the information needed to use Chebyshev filters without wading through a mire of advanced mathematics.




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