Chebyshev Filter Design

Previously, we designed a butterworth filter which is maximally flat. However, the order of these filters are considerably higher. This results in requirement of  large number of components and hence the cost of the filter increases. Also, the roll-off of the butterworth filters are not steep. 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.
Chebyshev filters are filters which have ripple in their frequency response. Filters having ripple in the passband and monotonic in stopband are called Chebyshev-1 filters. Whereas, filters having ripple in their stopband and monotonic in passband are called Chebyshev-2 filters. Here, too, the parameters of the filter are inputted by the user and complete filter is designed. The ripples can be seen in the magnitude response.