基于微分方程解法的MATLAB函数实现离散LTI系统响应  

MATLAB function based on the solution of differential equation in solving the discrete LTI system response

作　　者：孙树平[1] 王海滨[1] 

机构地区：[1]西华大学电气信息学院,成都610039

出　　处：《电子测试》2008年第11期5-11,共7页Electronic Test

基　　金：西华大学人才引进项目(R0620907);西华大学学科建设项目(XZD0702-2)资助

摘　　要：针对信号系统中求解离散系统和连续系统响应不统一性问题,本文研究了求解离散系统和连续系统响应间的共性,为了能够用像求解连续系统响应的方法解决离散系统响应,提出了通过对离散系统进行简单的变换利用解决连续系统响应的方法解决离散系统响应的方法,并利用MATLAB实现其函数化,进而可以利用此MATLAB函数实现微分方程解差分方程的问题。仿真结果表明,此方法可以很好的应用到离散系统求解响应和求解差分方程中。According to block of wood unitarity problem about solving the discrete LTI respond and continuous LTI respond, this paper studies the generality of solving the discrete LTI respond and the continuous LTI respond, In order to solve the discrete LTI respond such as solving the continuous LTI respond, it puts forward a technique of solving the discrete LTI using the method of solving the continuous LTI respond, and uses MATLAB function to realize. Then it may solve the difference equation using the method of difference equation by MATLAB function. Simulation results show that the method may use in solving discrete LTI respond and the difference equation.

关 键 词：微分方程 差分方程 拉普拉斯变换(ST) Z变换(ZT) MATLAB函数 

分 类 号：O175.7[理学—数学]