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The Chebyshev type filter is named in honor of Pafnuty Chebyshev because their mathematical characteristics are
derived from Chebyshev polynomials.
A Tee filter is a filter that has a two series elements and a parallel element connected in
the shape of letter T.
Chebyshev filters are analog or digital filters having a steeper roll-off and more passband
ripple or stopband ripple than Butterworth filters. Chebyshev filters
have the property that they minimize the error between the idealized filter characteristic
and the actual over the range of the filter, but with ripples in the passband.
Chebyshev filters provide sharper rate of attenuation beyond the -3 db point. Chebyshev filters are more sensitive to
component tolerances than Butterworth filters.
For even-order filters, all ripple is above the dc-normalized passband
gain response, so cutoff is at 0 dB. For odd-order filters, all ripple is below the
dc-normalized passband gain response, so cutoff is at -(ripple) dB.
A High pass filter is a filter that passes high frequencies, but attenuates
frequencies lower than the cutoff frequency.