DSPP Experiment 6 : Chebyshev Filter Design

In experiment 5, we designed a butterworth filter which is maximally flat which has its disadvantages of higher orders.This leads to requirement of large components for the practical design of the filter and the cost of the filter increases. Butterworth filters also do not have a steep roll off factor. Thus, in applications where frequency response is more important than the constant amplitude across the frequency range and cheaper filters are required, chebyshev filter is used.

 A Chebyshev filter is one in which we can see ripples in a filter response, either in the stop band or the pass band. This experiment is similar to Experiment 5. The only difference in the filter design is in the formulae for calculating analog parameters of the filter.

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. As in experiment 5, we designed both LPF and HPF.