复杂象函数Laplace反变换与信号精确时域解  

Inversion of Laplace transforms on complex transform functions and the signal's time domain accurate solution

作　　者：唐正明[1] 郝希准[1] 肖顺文[1] 刘汉奎[1] 王云秀[1] 

机构地区：[1]西华师范大学物理与电子信息学院,四川南充637002

出　　处：《数字技术与应用》2010年第5期163-165,共3页Digital Technology & Application

基　　金：四川省教育厅科研基金重点项目(07ZA127)

摘　　要：Laplace变换在分析计算线性时不变系统的系统响应时应用广泛,现有研究未涉及到复杂象函数情况下对时域解析解的求取。然而,电子信息系统的某些信号具有其特定的形式,得到符合常见信号形式的解析解具有重要意义。基于MATLAB提出了一种反变换解析求解法,给出了对应的理论推导、应用示例及其主要的MATLAB程序语句。该方法通用性强,求解复杂象函数的反变换简便快捷,且所得结果符合常见信号特有形式,利于信号的分解和系统的仿真测试。Laplace Transformation is widely used in analyzing the respond of LTI systems, researches haven＇t covered the method of getting the parsed answer in the instance of complex transform functions. However,the existence of signals are formally determined and it is of great significance to get the parsed answer. A new method based on MATLAB is presented,the process of deducing,example and its main programs are given.The method is universal and efficient especially in solving the response of LTI systems with complicated functions and the answer of which is accordant with familiar signals,therefore,benefitting the analysis of signals and the systems＇ simulation and testing.

关 键 词：多项式 部分分式 导数 拉普拉斯反变换 MATLAB 

分 类 号：TP312[自动化与计算机技术—计算机软件与理论]