基于Duffing振子的微弱信号参数估计  

Estimation of weak signal parameters based on Duffing oscillator

作　　者：冀常鹏[1,2] 许素娜 冀雯靖 JI Changpeng;XU Suna;JI Wenjing(School of Electronic and Information Engineering,Liaoning Technical University,Huludao 125105,P.R.China;Liaoning Open-pit Mining Equipment Engineering Technology Research Center,Fuxin 123000,P.R.China;Graduate School,Liaoning Technical University,Huludao 125105,P.R.China;School of Science and Engineering,The Chinese University of Hong Kong(Shenzhen),Shenzhen 518172,P.R.China)

机构地区：[1]辽宁工程技术大学电子与信息工程学院,辽宁葫芦岛125105 [2]辽宁省露天矿山装备工程研究技术中心,辽宁阜新123009 [3]辽宁工程技术大学研究生院,辽宁葫芦岛125105 [4]香港中文大学(深圳)理工学院,广东深圳518172

出　　处：《重庆邮电大学学报（自然科学版）》2020年第2期263-270,共8页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：辽宁省教育厅一般项目(L2015209)。

摘　　要：针对传统Duffing系统在检测频率未知的微弱信号时用振子阵列会增加复杂度的问题,提出结合频谱分析和Duffing振子的频率检测方法,此外还给出信号幅度和初相位的估计方法。将待测信号输入到内置周期驱动力为0的Duffing振子检测系统,对其输出量作频谱分析得出信号频率;利用Lyapunov指数方法得到临界阈值f_d;把待测信号分别输入到内置周期驱动力初相为0和π的Duffing振子检测系统,并通过Lyapunov指数方法求出系统发生相变时所对应的内置周期驱动力幅值,计算可得信号的幅度和初相位。仿真实验证明,该方法可检信噪比低至-43.01 dB,与传统Duffing振子系统相比,具有检测精度高、复杂度低的优点。The traditional Duffing system will increase the complexity when detecting the weak signal with unknown frequency by using the vibrator array.To solve this problem,a frequency detection method combining spectrum analysis and Duffing oscillator is proposed.Besides,this paper puts forward a method which can estimate the amplitude and initial phase of the signal to be detected.It inputs the signal to be detected into the Duffing oscillator detection system with zero periodic driving force,and makes spectrum analysis of oscillator output to get signal frequency.It uses the Lyapunov exponent method to obtain the critical threshold fd.It inputs the signal to be detected into the Duffing oscillator detection system in which the initial phase of the periodic driving force is 0 andπrespectively,and the corresponding inner phase of the system is obtained by Lyapunov exponent method,the amplitude and initial phase of the signal to be detected can be obtained by calculation.Simulation results show that the proposed method can detect the SNR as low as-43.01 dB,and compared with the traditional Duffing oscillator system,it has high detection accuracy and low complexity in implementation.

关 键 词：频谱分析 DUFFING振子 LYAPUNOV指数 微弱信号 

分 类 号：TN957.51[电子电信—信号与信息处理]