复杂线性系统建模化简的矩阵方法

The Matrix Method for Modelling and Simplification of Complex Linear Systems

根据各组成部分的特性求出系统特性是贯穿在信控类专业许多课程中的核心内容,如信号与系统中的信号流图,数字信号处理中的滤波器计算及控制系统中的结构图化简等。讲解其理论和实际计算在各门课程中都是难点。本文导出了具有普遍意义矩阵建模公式,并可藉软件的帮助快速准确地解决这个问题,比起各课程中原有的方法有很大的优越性。

To find the resultant system characteristic from parameters of its components is always a difficult core topic for many courses of signal and control, such as signal flow graphs in signal and systems, filter calculation in signal processing, reduction of block diagrams in control, and etc. In this paper, a unified matrix modelling method is developed. By using software tool, all these problems can be solved quickly and precisely with the same concept. It prevails over some of the methods now using in these courses.