Low pass and High Pass filters were designed with the input parameters As ,Ap pass band frequency and stop band frequency and sampling frequency.The order of the filter was calculated using the given values of attenuation in pass band and stop band, pass band and stop band frequencies and sampling frequency. The normalised and denormalised H(s) was calculated, from which the Transfer Function H(z) was calculated.
From the magnitude response of digital Chebyshev filter, we observe that the number of peaks and valleys in pass band equals the order of the filter.
It was also observed that for the same input specifications for Butterworth and Chebyshev Filter, Chebyshev filter had a smaller order, which means it is better for real world applications as less order translates to less components required to build the filter and, hence, lest cost. In chebyshev filter, the poles are plotted on an ellipse with imaginary axis as major axis in the s-plane.
From the magnitude response of digital Chebyshev filter, we observe that the number of peaks and valleys in pass band equals the order of the filter.
It was also observed that for the same input specifications for Butterworth and Chebyshev Filter, Chebyshev filter had a smaller order, which means it is better for real world applications as less order translates to less components required to build the filter and, hence, lest cost. In chebyshev filter, the poles are plotted on an ellipse with imaginary axis as major axis in the s-plane.
Chebyshev filters have less order for same input parameters as compared to Butterworth filters. Hence, less computation is required.
ReplyDeleteThe practical implementation involves use of difference equations.
It has ripples in the passband
ReplyDeleteThere are types of Chebyshev filters
ReplyDeleteIt was also observed that for the same input specifications for Butterworth and Chebyshev Filter
ReplyDeleteChebyshev is considered to be better
ReplyDelete