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

Scaling Chebyshev Cutoff

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.

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