标度分形分抗逼近电路的零极点分布规律

Zero-pole distribution rules of scaling fractal fractance approximate circuits

摘要:

针对标度分形分抗逼近电路的零极点分布，利用传输矩阵算法并借助矩阵实验室(Matlab)精确求解其零极点的值，发现并验证了零极点的值在电路节数中间段具有线性的分布规律，列出并整理零极点线性分布公式.求解并整理了典型分形分抗逼近电路对应的非正则标度方程.

Abstract:

For the structural and mathematical features of some scaling fractal fractance approximation circuits,the irregular scaling equations of the typical scaling circuits have been solved and trimmed. Accurate zeropole values are computed by using the transmission matrix algorithm and the matrix labority. It is found and verified the linear distribution rule for the zerpole value which locates in the middle of the circuit section. Not only the linear distribution formula of zeros and poles are given, but also the irregular scaling equations corresponding to the typical scaling fractal fractance approximation circuits have been solved and sorted.