Chebyshev Filters

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 33. This chapter presents the information
needed to use Chebyshev filters without wading through a mire of advanced mathematics.
CHAPTER
Chebyshev Filters
20

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 33. This chapter presents the information
needed to use Chebyshev filters without wading through a mire of advanced mathematics.




The Chebyshev and Butterworth Responses
The Chebyshev re