Friday, 21 April 2017

Chebyshev Filter Design

When we can see ripples in a filter response, either in the stop band or the pass band, it's called a Chebyshev filter. Of course, to account for the ripple, we need to consider different equations.
The method for filter design, however, stays the same. Open Scilab, write a code and voila, your filter is ready! The only difference in the code for Chebyshev is the formula for calculating the parameters of the analog filter. The digitisation process stays the same.
We designed a Chebyshev 1 filter where the ripple exists only in the pass band and the stop band is free of it. The frequency response of the digital filter could be seen to be close enough to the desired response.

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