离散系统系统函数和输出量的流图矩阵分析

Analysis of Systemic Function and Output in Separate System by Flow Graph Matrix

本文解决了计算离散系统系统函数和输出量困难、易引起遗漏和差错等问题。给出了基于信号流图基础上的节点间支路增益矩阵H的定义。然后利用信号流图等效化简过程同H阵变换之间的一一对应关系给出了两个等效变换的定理及证明,从而提出了流图矩阵分析法。该方法只对H阵进行严格、简明、规律的变换,而不需任何其它运算和对信号流图及其子流图的分析就可以得出结果。

This paper xolves not only the difficulty of calculating the systemic function and the output of complex system, but also the problems of common mistakes. In the paper, at first, it gives the definition of the gain matrix H of branch nodes, then, basing on the signal flow graph and by using one -one relations between the simplifying process of equivalent signal flow graph and the transformation of matrix H, two theorems with their proves are given, and the analytical method of flow graph as well. By this method, only the transformation of matrix H can be ap-plyed rigorously, concisely and regularly, no other calculation or analysis of signal flow graph and its sub-graph is needed. It is used research the separate systems,but can be adopted to continual systems too.