部分因式展开法拉普拉斯反变换深层探析

Deep Analysis of Partial Factor Summation for Inverselaplace Transformation

运算电路的解析,常用部分因式展开法进行拉普拉斯反变换,以求取时域解。对象函数分母进行因式分解,可能出现复根情况的讨论,相关课程、文献分析不够深入,给出的求取原函数方法单一,解题容易出错。为此,对复根情况进行了较为深入的探讨,并提出了一种新颖的求解原函数的方法,消除了求解高阶象函数的原函数困惑,并很大提高了求取原函数的速度和准确率。

To solve time solution of operational equation by using Inverse Laplace Transforma- tion through partial factor summation. There are three situations to factorization of image function de- nominator, namely real single root, multiple root, complex roots. There is little information for analysis on complex roots with a few methods, that prone to error. Deep Analysis on high order image function and a new method were showed in this paper, to Improving solution of the equation of velocity and rate of accuracy.