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<p>The purpose of this paper is to efficiently design half and one fourth infinite impulse response type fractional digital differentiator using Bat optimization algorithm (BOA). The optimize filter coefficients are obtained by adopting objective function as <i>L</i>1-Norm based error one by the application of BOA. The superiority of proposed algorithm compared to other existing works like real coded Genetic algorithm, Multiverse optimization and Particle swarm optimization based designs and etc. The efficacy of the proposed designs evaluated in terms of maximum normalized magnitude error (MNME) values. The MNME values of proposed fractional digital differentiators are reasonably better compared to the existed designs.</p>

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\(L_1\)-Norm Based IIR Type Fractional Differentiator Design with the Application of Bat Optimization

  • 期刊论文

  • 发表日期：

    2025年1月9日

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  • K Rajasekhar

摘要

The purpose of this paper is to efficiently design half and one fourth infinite impulse response type fractional digital differentiator using Bat optimization algorithm (BOA). The optimize filter coefficients are obtained by adopting objective function as L1-Norm based error one by the application of BOA. The superiority of proposed algorithm compared to other existing works like real coded Genetic algorithm, Multiverse optimization and Particle swarm optimization based designs and etc. The efficacy of the proposed designs evaluated in terms of maximum normalized magnitude error (MNME) values. The MNME values of proposed fractional digital differentiators are reasonably better compared to the existed designs.