论文|Qiu-Yan He, Yi-Fei Pu, Bo Yu, Xiao Yuan：A class of fractal-chain fractance approximation circuit

本文原载International Journal of Electronics，由四川大学计算机学院蒲亦非教授等科研人员创作，系四川大学“智慧法治”超前部署学科系列学术成果。后续会持续分享四川大学“智慧法治”超前部署学科系列学术成果，欢迎大家阅读。

Abstract: A class of fractal-chain fractance approximation circuit (FCFAC) has been discussed in this paper. The FCFAC type 1 (FCFAC-1) can achieve the rational approximation of negative-half-order fractances. Changing the series and parallel connections or the positions of resistors and capacitors in FCFAC-1 produces another three FCFACs of negative-half-order. Making scaling extensions to the four original FCFACs, the scaling FCFACs can be obtained and achieve the rational approximation of fractances of arbitrary-order. The operational order, which is determined by the progression ratio of resistance α and the progression ratio of capacitance β, can be expressed as μ=−lg. The approximation performance of the scaling FCFACs has been improved and the optimised circuits are really simple. The oscillation phenomena of the frequency-domain characteristics of the scaling FCFACs have been described quantitatively. In addition, a comparison of approximation performance shows the scaling FCFACs provide a good choice in available fractance approximation circuits (FACs). 

 Qiu-Yan He, Yi-Fei Pu, Bo Yu, Xiao Yuan. “A Class of Fractal-Chain Fractance Approximation Circuit,” International Journal of Electronics, 2020. （论文下载）