基于遗传算法优化连分式展开的分数阶微积分器IIR实现
Optimizing Continued Fraction Expansion Based IIR Realization of Fractional Order Differ-Integrators with Genetic Algorithm
AI总结：
本文利用遗传算法优化连分式展开中生成函数的标称结构，以最小化分数阶微积分器与有理化离散时间IIR滤波器之间的幅相偏差，实现更优的近似。
摘要：
通过连分式展开对分数阶微积分器进行有理逼近是一种众所周知的技术。本文利用遗传算法优化各种生成函数的标称结构，以最小化原始分数阶元件与有理化离散时间无限脉冲响应（IIR）结构滤波器之间的幅度和相位响应偏差。与现有方法相比，基于优化滤波器的实现显示出对分数阶元件更好的逼近，并通过IIR滤波器的频率响应进行了验证。
英文摘要：
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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