1970•Electronics LettersRequires access

Family of equiripple lowpass digital filters

A.G. Constantinides

Abstract

The letter deals with the special case of general-parameter filters that yield Cheby̅shev characteristics. The solution gives a family of Cheby̅shev responses with monotonic stopband and equiripple passband characteristics. These characteristics belong to combinations of the sin (ωT/2) and tan (ωT/2) formulations and it is shown that under the condition of maximum sharpness at cutoff the tan (ωT/2) formulation is unique.

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Key concepts: Passband, Monotonic function, Stopband, Mathematics, Chebyshev filter, Low-pass filter, Control theory (sociology), Cutoff frequency