基于Duffing振子的变尺度微弱特征信号检测方法研究  

Weak characteristic signal detection based on scale transformation of Duffing oscillator

作　　者：赖志慧[1] 冷永刚[1] 孙建桥[1] 范胜波[1] 

机构地区：[1]天津大学机械工程学院,天津300072

出　　处：《物理学报》2012年第5期60-68,共9页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:50975202)资助的课题~~

摘　　要：研究了Holmes型Duffing方程的混沌特性用于信号检测的方法,针对该方法只适用检测特定频率成分信号、方程参数选择不便以及噪声影响检测结果等情况,提出基于Duffing振子的变尺度微弱特征信号检测方法.数值分析表明,该方法可以仅用一组确定的参数条件,检测任意频率、任意相位的特征信号.The chaos detection method based on Holmes Duffing equation is studied. Since this method is suitable only for the detection of a single signal frequency, the selection of the equation parameters is inconvenient, and the noise may affect the detection results, we propose a new method of detecting weak characteristic signals based on the scale transformation of Duffing oscillator. The numerical simulation shows that the proposed method can be used to detect harmonic signal with any frequency and phase by only a set of determined parameters.

关 键 词：DUFFING振子 微弱特征信号 Gauss白噪声 变尺度 

分 类 号：TN911.23[电子电信—通信与信息系统]