基于平方误差的数字滤波器性能

Abbas T Alsahlanee
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引用次数: 1

摘要

采用混合优化方法设计了一种具有无限脉冲响应的数字滤波器。所采用的算法是一种动态-静态拓扑的粒子群优化(DS-PSO)算法。研究了在通带、阻带和过渡带中原始滤波器和所需滤波器响应之间的非线性均方误差(SE)优化,同时在这些带中容忍允许的波纹。实验结果表明,采用DS-PSO算法的数字IIR滤波器的通带和阻带的SE值显著降低,其中基于DS-PSO的数字IIR滤波器的SE值优于DI-PSO(动态惯性PSO)和MDI-PSO(改进动态惯性PSO)等进化算法,根据滤波器的阶数,SE值分别在50% ~ 90%和10% ~ 90%之间。结果表明,与进化算法相比,该方法具有更高的保真系数和稳定的数字滤波器。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Digital Filter Performance Based on Squared Error
A digital filter with infinite impulse response (IIR) was designed using the hybrid optimization methodology. The algorithm used is a dynamic-static topology of particle swarm optimization (DS-PSO) algorithm. The subject of non-linear mean square error (SE) optimization between the original and required filter responses in the passband, stopband, and transition band while tolerating permitted ripples in those bands was studied. Experimental results indicate a significant decrease in SE rates of passband and stopband with used technique, where SE values of digital IIR filter with DS-PSO were better than they were with evolutionary algorithms like DI-PSO (dynamic inertia PSO) and MDI-PSO (modified dynamic inertia PSO), at rates from about 50%–90% and 10%–90%, respectively, depending on filter’s order. As a result, as compared to evolutionary algorithms, the suggested method creates greater fidelity coefficients and stable digital filters.
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