The next design was of Chebyshev filter. Again Scilab was used. The code was very similar to that of Butterworth filter, just few changes had to be done such as formula for calculating analog filter parameters. Input parameter such as attenuation and frequency for pass band band stop band had to be given with sampling frequency. Bilinear Transformation was used for converting Laplace to z domain. No ripples were observed in stop band which is the specialty of this filter further no of ripples in pass band gave the oder of the filter.
This filter has less order if compared to butterworth hence its implementation on hardware is quite better and less complicated.
ReplyDeleteThe minimum order of chebshev filter is 2
ReplyDeleteIt can be seen that Butterworth is monotonic in both stop band and pass band which is in contradiction with Chebyshev filter.
ReplyDeleteChebychev filter requires lesser hardware than Butterworth filter.
ReplyDeleteChebyshev filter has ripples in the passband.
ReplyDeleteThe ripples could be seen in the frequency response.
ReplyDeleteThis type of filter is named after Pafnuty Chebyshev because its mathematical characteristics are derived from Chebyshev polynomials.
ReplyDeleteHigh order filter gives accurate results but is computationally tedious
ReplyDeleteChebyshev Filters 1 and 2 are the two types of the Chebyshev Filter.
ReplyDelete