In this experiment we had to design Digital Chebyshev using Analog Chebyshev Filter by using Scilab. Chebyshev filters have sharp cutoff characteristics and exhibits ripples in either Pass band or Stop band depending upon the type of filter. Inputs - Stop band attenuation (As), Pass band attenuation (Ap), Pass band frequency(wp) & Stop band frequency(ws) were taken from the user, same as that of Butterworth Filter, so that comparison can be made between the two
It was observed that magnitude response was equiripple in pass band and monotonic in stop band.Also the order of Chebyshev Filter for same characteristics was small when compared with Butterworth Filter.The number of valleys and peak in the pass band determined the order of the filter.
Chebyshev Filter is an IIR filter and the disadvantage of IIR filter design method is that they are harder to implement using fixed point arithematic
ReplyDeleteThe ripples in passband of Chebyshev-1 filters can prove as a disadvantage as it introduces differences in gain for the passband signal.
ReplyDeleteWhile in Chebyshev-II filters, we observe ripples in the stop band
DeleteChebyshev filter has ripples in pass band and stop band
ReplyDeleteChebyshev filters are preferred for low-end applications.
ReplyDeleteTransition width is less than that of butterworth filter
ReplyDeleteMinimum order of chebyshev filter is 2
ReplyDeleteFor same analog filter input parameters, Chebyshev has lower order than butterworth hence it is easier to implement on hardware.
ReplyDeleteExplain Frequency Warping in BLT method
ReplyDeleteChebyshev is characterized by ripples in pass band and monotonic in stop band.
ReplyDeleteIn frequency warping analog frequency from 0 to infinity is mapped into 0 to pie.
ReplyDeleteBecause of BLT, there is one to one mapping, this can be used for design of any filter
ReplyDelete