Chebyshev Filters

Chebyshev filters are designed to allow ripple in the pass-band, but steeper roll-off after the cut-off frequency. The cut-off frequency is defined as "the frequency at which the response falls below the ripple band". For a given filter order, a steeper cut-off can be achieved by allowing more pass-band ripple.

The transient response of a Chebyshev filter to a pulse input shows more overshoot and ringing than a Butterworth filter, as shown in Figure 1.

Figure 1
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