应用卷积和的离散线性时不变因果系统零输入响应求解

Solution to Zero-Input Response for Discrete Linear Shift-Invariant Causal System Based on Convolution Method

离散线性时不变因果系统的时域分析通常应用时域经典方法或卷积和方法。通常定义因果激励与系统脉冲响应的卷积和是系统的零状态响应。本文针对全激励序列输入时,给出求解离散线性时不变系统零输入响应的卷积和方法,并证明与等效激励法等价。同时,给出例题介绍提出的卷积和方法如何应用。

Classical time-domain method or convolution method are commonly applied for time-domain analysis of discrete linear shift-invariant casual system.In general,the convolution of casual input sequence and unit pulse response of system is defined as the zero-state response.In this paper,when all excitation sequence is given,the convolution method for discrete linear time-invariant system is presented to solve zero-input response and it is proved to be equivalent to approach using equivalent excitation.Exampleis introduced to indicate how to apply the method.