Chebyshev Filter Design
Having designed a filter by Butterworth design method previously, designing filter by Chebyshev Method requires calculation of a lot more parameters than butterworth method.
Having designed a filter by Butterworth design method previously, designing filter by Chebyshev Method requires calculation of a lot more parameters than butterworth method.
We designed Chebyshev 1 filter and simulated its magnitude and frequency response using Scilab.
The order of the filter and the Transfer Function were calculated after entering the values of various parameters like : Pass band Attenuation (Ap), Stop Band Attenuation (As), Passband frequency, Stopband frequency. The obtained frequency response was very close to the ideal response. From the obtained characteristics, we verified that, for a Chebyshev 1 filter
Pass band : Equiripple
Stop band: monotonic
No ripples in Passband
Lesser transition width, slow roll-off at high frequencies
Scilab simulation software made the process of computing Transfer Function of higher order filters and plotting the magnitude and frequency response easier and efficient.
It is used in low-cost applications where amplitude is not a concern
ReplyDeleteRipple in pass band is only in case of chebyshev 1
ReplyDeleteThe ripples in passband of Chebyshev-1 filters can prove as a disadvantage as it introduces differences in gain for the passband signal.
ReplyDelete