We performed design of Low Pass and High Pass Chebyshev Filter and observed its Magnitude plots using Scilab. We have used BLT method for the filter design. We specified the stop band and pass band attenuation, stop band and pass band frequencies and sampling frequency in each case. The observed and the calculated values of the stop band and pass band attenuation are nearly same. Number of ripples in the pass band gives the order of the filter. In magnitude response, Chebyshev is equiripple in pass band and monotonic is stop band.
Chebyshev : https://drive.google.com/open?id=0BwzFGc0wvjNvNDV0c2lQdm5nOVk
Chebyshev : https://drive.google.com/open?id=0BwzFGc0wvjNvNDV0c2lQdm5nOVk
Poles are inside the unit circle thus filters are stable(HPF and LPF)
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ReplyDeleteChebyshev is preferred over Butterworth as the order of the filter is smaller for the same filter specifications so hardware requirement is less
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ReplyDeleteAnalpf() can be used in Scilab to find chebyshev-1 filter
ReplyDeleteFor same specifications, the order of Chebyshev filter is less than that of Butterworth filter, i.e. the number of poles is less in Chebyshev, thus less number of discrete components are required in Chebyshev filter, hence it is preferred
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