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投稿时间：2011-09-06 修订日期：2012-01-06
投稿时间：2011-09-06 修订日期：2012-01-06
中文摘要: 应用连分式理论设计1/2^n阶模拟分抗逼近电路。基于分数阶微积分理论，推导理想模拟分抗的网络函数。对1/2阶理想分抗的网络函数进行连分式分解，得到相应模拟分抗逼近电路的网络函数，并将其推广到1/2^n阶。采用无源RC器件设计电路的具体结构，并通过multisim10仿真。实验结果证明，由连分式分解理论设计的1/2^n阶分抗逼近电路具有良好的幅频响应和相频响应，能有效地逼近理想分抗。
Abstract:Continued fraction theory was applied to design the 1/2^n order analog fractance approximation circuit. Based on the fractional calculus theory, the network function of ideal fractance was derived. Continued fraction decomposition was applied to the network function of 1/2 order ideal fractance. The network function of the correponding analog fractance approximation circuit was obtained, and generalized to 1/2^n. The circuit structure was constructed by ordinary RC component, and simulated through multisim10. It was proved that the 1/2^norder analog fractance approximation circuit has good performance in both amplitude-frequency response and phase-frequency response, and it’s approximation to ideal fractance is effective.
keywords: fractional calculus fractance continued fractions approximation analog circuit complex variables functions approximation
文章编号：201100791 中图分类号： 文献标志码：
基金项目:国家自然科学基金资助项目(60972131)
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引用文本：
刘彦,蒲亦非,沈晓东,周激流.基于连分式分解的1/2^n阶模拟分抗逼近电路设计[J].工程科学与技术,2012,44(3):153-158.
Liu Yan,Pu Yifei,Shen Xiaodong,Zhou Jiliu.Design of 1/2^nOrder Analog Fractance Approximation Circuit Based on Continued Fractions Decomposition[J].Advanced Engineering Sciences,2012,44(3):153-158.
引用文本：
刘彦,蒲亦非,沈晓东,周激流.基于连分式分解的1/2^n阶模拟分抗逼近电路设计[J].工程科学与技术,2012,44(3):153-158.
Liu Yan,Pu Yifei,Shen Xiaodong,Zhou Jiliu.Design of 1/2^nOrder Analog Fractance Approximation Circuit Based on Continued Fractions Decomposition[J].Advanced Engineering Sciences,2012,44(3):153-158.