Practical Filters and Couplers: A Collection from Applied Microwave & Wireless

Chebyshev low-pass filters often define cutoff as the highest ripple attenuation frequency (ripple cutoff). Since f c in the scaling equations above is a ?3 dB cutoff, the Chebyshev ripple cutoff cannot be used. Instead, the actual half-power frequency should be used for calculations. This frequency is calculated as follows:
For a low-pass filter,
and for a high-pass filter,
where f c is the desired ripple cutoff in hertz, and
where R dB is the pass band ripple in dB.