Type II Chebyshev Filters
Also known as inverse Chebyshev, this type is less common because it does not roll off as fast as type I, and requires more components. It has no ripple in the passband, but does have equiripple in the stopband. The gain is:
In the stopband, the Chebyshev polynomial will oscillate between 0 and 1 so that the gain will oscillate between zero and
and the smallest frequency at which this maximum is attained will be the cutoff frequency . The parameter ε is thus related to the stopband attenuation γ in decibels by:
For a stopband attenuation of 5dB, ε = 0.6801; for an attenuation of 10dB, ε = 0.3333. The frequency f0 = ω0/2π is the cutoff frequency. The 3dB frequency fH is related to f0 by:
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