太赫兹科学与电子信息学报, 2017, 15 (1): 98, 网络出版: 2017-03-31
分形分抗逼近电路零极点的数值求解与验证
Numerical solution and verification of zero-pole for some fractal fractance approximation circuits
分数阶微积分 阻抗函数 迭代矩阵 根的验证 矩阵实验室 fractional calculus impedance function iterative 皿atrix roots checking Matrix Laboratory
摘要
随着分抗逼近电路理论的高速发展,如何求解分抗电路的零极点是研究的重点问题之一。利用常规友矩阵求解分抗逼近电路的零极点,出现虚根而得不到正确的解。为了解决这个 问题,基于分抗逼近电路的迭代电路和迭代矩阵,利用矩阵实验室 (MATLAB) 中的"solve"和"root8" 函 数实现分抗逼近电路归一化零极点的数值求解,并比较两者的精确度和运算速度。对求得的解进 行直接验证和间接验证。仿真结果表明,该方法实现了分抗逼近电路极点的准确求解,对于分 抗逼近电路的分析具有指导性意义。
Abstract
With the development of the theory of fractance approximation circuits ,one of the hot topics is how to solve the zero-pole of the circuits. The precise solution cannot be obtained by companion matrix.To solve the problem ,based 00 the iterative circuit and iterative malrix ,numerical solution of normalized zero-pole offractance approximation circuit is achieved by two functions ,"solve" and "[00t8" ,in Matrix Laboratory(MATLAB). The accuracy and speed of these two operations are compared. Then the zero-pole is verified by direct ways and indirect ways. The simulation results indicate that the accurate solution is obtained. The solution of zero-pole shows a guiding significance on analyzing the fractance approximation C1rcUlts
易舟, 袁晓. 分形分抗逼近电路零极点的数值求解与验证[J]. 太赫兹科学与电子信息学报, 2017, 15(1): 98. YI Zhou, YUAN Xiao. Numerical solution and verification of zero-pole for some fractal fractance approximation circuits[J]. Journal of terahertz science and electronic information technology, 2017, 15(1): 98.