Considering the non-differentiability and multimode of fractional delay (FD) FIR filter, this paper proposes an improved moth-flame optimization (IMFO) algorithm, which combines moth-flame optimization (MFO) algorithm with Lévy flight to improve the search ability of the algorithm. In order to improve the flexibility of traditional filter design method, amplitude and phase weighted fitness function is proposed. In order to verify the reliability of the algorithm, a simulation example is designed to prove that the optimization ability of the algorithm is better than the traditional method and the traditional MFO algorithm.
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