Optimizing Continued Fraction Expansion Based IIR Realization of Fractional Order Differ-Integrators with Genetic Algorithm

Saptarshi Das, Basudev Majumder, A. Pakhira, Indranil Pan, S. Das, Amitava Gupta
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引用次数: 22

Abstract

Rational approximation of fractional order (FO) differ-integrators via Continued Fraction Expansion (CFE) is a well known technique. In this paper, the nominal structures of various generating functions are optimized using Genetic Algorithm (GA) to minimize the deviation in magnitude and phase response between the original FO element and the rationalized discrete time filter in Infinite Impulse Response (IIR) structure. The optimized filter based realizations show better approximation of the FO elements in comparison with the existing methods and is demonstrated by the frequency response of the IIR filters.
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基于优化连分式展开的分数阶差分积分器的IIR遗传算法实现
利用连分数展开(CFE)对分数阶微分积分器进行有理逼近是一种众所周知的方法。本文利用遗传算法(GA)对各种生成函数的标称结构进行优化,使无限脉冲响应(IIR)结构中原始FO元素与合理化离散时间滤波器之间的幅值和相位响应偏差最小化。与现有方法相比,基于优化滤波器的实现能更好地逼近FO元素,并通过IIR滤波器的频率响应得到证明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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