基于围线积分引理的信号变换域分析方法  

Signal Transform Domain Analysis Method based on Contour Integration Lemma

作　　者：陈绍荣 何健 陈柏良 薛在阳 CHEN Shao-rong;HE Jian;CHEN Bai-liang;XUE Zai-yang(Communication Sergeants College,PLA Army Engineering University,Chongqing 400035,China;Military Representative Office in Chengdu,the Military Representative Bureau of the Military Commission Equipment Development Department,Chengdu Sichuan 610041,China;Shenzhen Weixin Technology Co.,Ltd.,Shenzhen Guangdong 518000,China;AT&S Technology(Chongqing)Co.,Ltd.,Chongqing 401133,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]深圳市惟新科技股份有限公司,广东深圳518000 [4]奥特斯科技(重庆)有限公司,重庆401133

出　　处：《通信技术》2020年第2期293-300,共8页Communications Technology

基　　金：重庆高校创新团队建设计划资助（No.KJTD201343）~~

摘　　要：提出了一种直接利用连续时间信号的双边LT来计算相应样值序列的双边ZT的方法。首先,基于围线积分引理,研究了s域卷积运算问题,给出了利用区左极点或区右极点计算s域卷积的留数方法;然后,依据连续时间非周期信号的ILT导出了非周期序列的IZT,给出了利用区外极点计算有终序列的IZT及计算z域卷积的留数方法;最后,解决了利用连续时间信号的双边LT来计算时域卷积信号和乘积信号相应样值序列的双边ZT的问题。A method of directly calculating the bilateral ZT of the corresponding sample sequence by using the bilateral LT of the continuous time signal is proposed.First of all,based on the contour integration lemma,the problem of convolution operation in s-domain is discussed,and the residue method for calculating the s-domain convolution by using the left pole or the right pole also given.Then,according to ILT of continuous time aperiodic signal,the IZT of aperiodic sequence is derived,and by using the extra-poles,the residue method for calculating the IZT of the sequence with terminal point and the residue method forcalculating the z-domain convolution are given.Finally,the problem of using the bilateral LT of continuous time signal to calculate the bilateral ZT of the corresponding sample sequence of the time domain convolution signal is solved,including the problem of using the bilateral LT of the continuous time signal to calculate the bilateral ZT of the correspondi7ng sample sequence of the product signal.

关 键 词：围线积分引理 s域卷积 z域卷积 留数方法 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]