无时限信号通过LTI系统的间接复频域分析方法  

Indirect Complex Frequency Domain Analysis Method of Non-Time-Limited Signal Passing through the LTI System

作　　者：陈绍荣 何健 薛在阳 陈柏良 CHEN Shao-rong;HE Jian;XUE Zai-yang;CHEN Bai-liang(Communication Sergeant College,PLA Army Engineering University,Chongqing 400035,China;Military Representative Office of the Military Representative Bureau in Chengdu,Military Commission Equipment Development Department,Chengdu Sichuan 610041,China;AT & S Technology(Chongqing)Co.,Ltd.,Chongqing 401133,China;Shenzhen Weixin Technology Co.,Ltd.,Shenzhen Guangzhou 518000,China)

机构地区：[1]陆军工程大学通信士官学校,重庆400035 [2]军委装备发展部军事代表局驻成都地区军事代表室,四川成都610041 [3]奥特斯科技(重庆)有限公司,重庆401133 [4]深圳市惟新科技股份有限公司,广州深圳518000

出　　处：《通信技术》2019年第3期562-566,共5页Communications Technology

基　　金：重庆高校创新团队建设计划资助(No.KJTD201343)~~

摘　　要：提出了一种无时限信号通过LTI系统的间接复频域分析方法。基于信号分解的概念,将无时限复指数信号分解为反因果信号和因果信号之和,利用LTI因果系统响应的可加性,给出系统零状态响应的间接复频域分析方法,然后将周期信号分解为反因果周期信号和因果周期信号之和,借助等效Jordan引理,利用LTI因果稳定系统响应的可加性,给出系统零状态响应的间接复频域分析方法,有效地解决了无时限信号通过LTI系统时系统零状态响应的复频域求解问题。An indirect complex frequency domain analysis method of non-time-limited signal passing through the LTI system is proposed in this paper.First of all,based on the concept of signal decomposition,the non-time-limited complex exponential signal is decomposed into the sum of anti-causal signal and causal signal,and then an indirect complex frequency domain analysis method for zero-state response of the system is presented by using the additivity of LTI causal system response.Then the periodic signal is decomposed into the sum of anti-causal periodic signal and causal periodic signal,based on the equivalent Jordan lemma and the additivity of LTI causal stability system response,an indirect complex frequency domain analysis method of zero state response of the system is given,thus effectively solving the complex frequency domain solution problem of system zero state response when the non-time-limited signal passes through the LTI system.

关 键 词：无时限复指数信号 周期信号 线性时不变(LTI)系统 复频域 零状态响应 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]