Frequency-Domain Design of Fractional-Order FIR Differentiators

In this paper, a fractional-order FIR differentiator design method using the differential evolution (DE) algorithm is presented. In the proposed method, the FIR digital filter is designed to meet the frequency response of a desired fractal-order differentiator, which is evaluated in the frequency domain. To verify the design performance, another design method considered in the time-domain is also provided. Simulation results reveal the efficiency of the proposed method. Keywords—Fractional-order differentiator, FIR digital filter, Differential evolution algorithm.

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