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

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.

Abstract:

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.