基于模拟退火算法的连续时间系统的时域综合  

Time-domain synthesis of continuous-time systems based on particle swarm optimization

作　　者：曾靖 李文 李宏民 谢喜云 杨艳凤 Zen Jing;Li Wen;Li Hongmin;Xie Xiyun;Yang Yanfeng(School of Information and Communication Engineering,Hunan Institute of Science and Technology,Yueyang 414006,China;School of Physics and Electronics Sciences,Hunan Institute of Science and Technology,Yueyang 414006,China)

机构地区：[1]湖南理工学院信息科学与工程学院,岳阳414006 [2]湖南理工学院物理与电子科学学院,岳阳414006

出　　处：《电子测量与仪器学报》2019年第12期183-189,共7页Journal of Electronic Measurement and Instrumentation

基　　金：湖南省2016教育厅科学研究项目(16K037);湖南省2017科技计划项目(2017SK2164);2018年湖南理工学院研究生科研创新项目(YCX2018A05);湖南省教育厅重点科研项目(14A062)资助。

摘　　要：提出一种近似给定脉冲响应的连续时间系统的时域综合方法。首先,基于最小均方误差准则,利用一个物理可实现的函数无限逼近给定的脉冲响应,从而形成约束优化问题,并通过模拟退火算法求解构造的优化模型最优值。将该方法应用于连续时间小波滤波器的设计和高压脉冲形成网络,以5阶Morlet小波基、7阶Marr小波基和14阶准矩形脉冲为例进行优化逼近,实验结果分析表明,其逼近误差分别仅为7.3987×10-6、2.1396×10-5和5.6827×10-6,从而从实验角度进一步证实所提理论方法具有很高的逼近精度,该方法也适用于高阶系统的设计。In this paper,a time domain synthesis method for a continuous time system with a given impulse response is proposed.First,based on the minimum mean square error criterion,the method uses the physical realizable function to approach the given impulse response infinitely to construct a multi-constraint optimization problem model.Then,the optimal value of the constructed optimization model is solved by the simulated annealing algorithm.The method is applied to the design of continuous-time wavelet filter and high-voltage pulse forming network.The 5 th order Morlet wavelet basis,7 th order marr wavelet basis and 14 th order quasi-rectangular pulse are used as examples for the optimization approximation operation,the approximation error is 7.3987×10-6,2.1396×10-5 and 5.6827×10-6,respectively.From the experimental point of view,it is further proved that the proposed method has high approximation accuracy.In addition,the method is suitable for the design of high-order systems.

关 键 词：脉冲响应 最小均方 模拟退火算法 脉冲形成网络 小波滤波器 

分 类 号：TP1[自动化与计算机技术—控制理论与控制工程] TN711.1[自动化与计算机技术—控制科学与工程]