Design of efficient second and higher degree FIR digital differentiators for midband frequencies

In the paper, efficient designs for second and higher degree digital differentiators for midband frequency ranges are proposed. Exact mathematical formulas for computation of the required weighting coefficients are also derived. The designs are capable of achieving extremely low relative errors (±1%–±0.001%) in the frequency range 0.25π≤ω≤0.75π with attractively low-order filters.

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