Design of FIR first order digital differentiatorsof variablefractional sample delay using maximally flat error criterion

Ewa Hermanowicz, M. Rojewski · Electronics Letters · 1994

Optimum (in a maximally flat frequency response error sense) FIR digital differentiators of variable fractional sample delay are derived that calculate the derivative of an input uniformly sampled discrete-time signal with arbitrary centre frequency at an arbitrarily chosen instant of time within each sampling interval. The proposed class of differentiators includes maximally linear differentiators for low frequencies.

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