噪声对基于Duffing方程弱信号检测的影响研究  

Research on the Influence of Noise to Weak Signal Detection Based on Duffing equation

作　　者：兀旦晖[1] 李秦君[1] 杨萍[1] 

机构地区：[1]陕西科技大学电气与信息工程学院,陕西西安710021

出　　处：《计算机测量与控制》2010年第1期61-63,共3页Computer Measurement &Control

基　　金：陕西省教育厅专项科研计划项目资助(05JK159)

摘　　要：针对利用混沌临界状态检测弱信号时存在误判、效率低和误差的问题,建立并分析了Duffing方程的基本形式;阐述了基于混沌信号相平面变化进行弱信号检测的工作原理;研究了混沌临界状态检测法中噪声对检测性能的影响,仿真发现了小信号条件下二维双稳非线性系统的随机共振现象,为提高强噪声背景下检测信号的信噪比奠定了一定的基础,为利用随机共振技术检测弱信号提供了一条新的途径。In view of existing questions of misjudgment, low efficiency, and error in detecting weak signal using chaos critical state. The basic form of Dulling equation is firstly established and analyzed in this paper; and then, it describes the principle of weak signal detection based on the change of phase trace; The influence of Noise to weak signal detection performance is researched using chaos critical state detection method; Stochastic resonance phenomenon of the small signal two dimensional nonlinear system is found, and that, the research in the paper provides some foundation for enhancing detection signal SNR under the strong noise background and a new way for detecting weal signal using stochastic resonance.

关 键 词：DUFFING方程 弱信号检测 噪声 随机共振 

分 类 号：TP319[自动化与计算机技术—计算机软件与理论]