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Differentiate between Butterworth and chebyshev filter
Butterworth Filter Chebyshev Filter
For a particular desired specification of a digital filter the order of butterworth filter will be higher than chebyshev filter For a particular desired specification of a digital filter the order of chebyshev filter will be lower as compared to butterworth filter
For a particular specification butterworth filter requires more hardware For a particular specification chebyshev filter requires less hardware
This filter has cutoff frequency not equal to passband frequency $\Omega_{c}=\Omega_{p} /\left(\frac{1}{A_{p}^{2}}-1\right)^{\frac{1}{2 N}}$ This filter has cutoff frequency equal to passband frequency $\Omega_{c}=\Omega_{p}$
The transition band of butterworth filter is wider as compared to chebyshev filter The transition band of chebyshev filter is narrow as compared to butterworth filter
All poles of filter will always lie on circle having radius $r =\Omega_{c}$ All the poles of a filter will lie on ellipse having major axis 'R', '$\zeta$', minor axis 'r'
Butterworth filter has no ripples either in passband or stopband Chebyshev filter will have ripples either in stop band or passband
Butterworth filter does not have any type It has two type i.e Type 1= Ripple in passband and Type 2=Ripple in stopband
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