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论文摘要

分抗的F特征逼近性能分析原理与应用

Approximation Performance Analysis and Application of F Characteristics in Fractance Approximation Circuit

作者:余波(成都师范学院物理与工程技术学院);何秋燕(四川大学电子信息学院);袁 晓(四川大学电子信息学院);杨丽贤(四川大学出版社有限责任公司)

Author:YU Bo(College of Physics and Engineering, Chengdu Normal University);HE Qiu-Yan(College of Electronics and Information Engineering, Sichuan University);YUAN Xiao(College of Electronics and Information Engineering, Sichuan University);YANG Li-Xian(Sichuan Uniersity Press Limited Liability Company)

收稿日期:2016-12-07          年卷(期)页码:2018,55(2):301-306

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:分数阶微积分;分数阶系统;F特征函数;运算特征

Key words:Fractional calculus; Fractional-order system; F-frequency characteristics function; Operational characteristics

基金项目:高校基金

中文摘要

F特征函数是描述分抗逼近电路集总特征值的新概念. 为全面定量分析与表征分抗逼近电路的F特征逼近性能,在F特征函数基础上,提出F特征逼近性能分析的相对误差、精度、带宽、带宽指数、K线斜率图、F指标和逼近效益等一系列概念及相应的数学函数. 并将其应用到Oldham分形链分抗逼近电路的F特征逼近性能分析,以证明其有效性.

英文摘要

F-frequency characteristics function is a new concept about lumped eigenvalue of the fractance approximation circuit. In order to quantitatively describe the approximation performance of F-frequency characteristics of the fractance approximation circuit, a series of concepts and corresponding mathematical functions about approximation performance analysis of F-frequency characteristics are proposed in this paper based on F-frequency characteristics function, including relative error, approximation accuracy, approximation bandwidth, approximation bandwidth exponent, K-diagram, F-index, approximation benefit, etc. And these concepts are used to analyze the Oldham fractal fractance approximation circuit to verify its effectiveness.

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