DIGITAL CHEBYSHEV FILTER DESIGN
Chebyshev filter design :
A digital chebyshev filter was designed from the analog chebyshev filter.
Analog LPF poles lie on LHS of S plane and hence the filter is stable. The digital LPF poles lie inside of the unit circle, so digital filter is stable. The magnitude spectrum exhibits ripple in passband and monotonic in stopband. For LPF there is definite zero at z=-1 while for HPF there is a definite zero at z=1.
Well written conclusion
ReplyDeleteThank you
DeleteChebyshev filters require less hardware for realisation
ReplyDeleteYes, more than butterworth
DeleteChebyshev-I filter has ripples in passband.
ReplyDeleteAnd the stopband is monotonic
DeleteThis type of filter is named after Pafnuty Chebyshev because its mathematical characteristics are derived from Chebyshev polynomials
ReplyDeleteThat's an interesting fact
DeletePoles are inside the unit circle thus filters are stable(HPF and LPF)
ReplyDelete