关于LTI系统完全响应的时域解法分析

Analysis on Completely Response Method in Time Domain of LTI System

在线性时不变系统的时域经典解法中,由于输入的加入引起输出跳变问题是计算难点,而主流教材对这部分内容说明不清。本文对基于冲激函数平衡法的导出0+状态和代入法分别进行说明,并将其应用到求解系统的完全响应,使得系统的时域分析方法更加完整。通过比较,代入法计算更加简单,容易理解,便于教学。

In time domain classical solution of the linear time invariant system,the output-jumping problem caused by the input is the difficulty of calculation,and the main textbooks do not explain clearly for this part.In this paper,two methods of Deriving0+state and substitution based on impulse function balance are illustrated and used to resolve complete response of LTI system,which makes the methods of time domain analysis be more complete.By comparison,calculation of substitution is simpler,easier to understand,and teach.