基于不变矩的微弱信号检测方法  

New Method for Weak Signal Detection Based on Invariant Moment

作　　者：胥永刚[1] 马海龙[1] 冯明时[1] 崔玲丽[1] 

机构地区：[1]北京工业大学北京市先进制造技术重点实验室,北京100124

出　　处：《振动．测试与诊断》2012年第4期568-571,687,共4页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(编号:50705001;51075009);国家高技术研究发展计划("八六三"计划)资助项目(编号:2009AA04Z417)

摘　　要：由于混沌振子从混沌状态转变到大尺度周期状态时其相图的对称性将发生较大变化,提出应用Hu氏不变矩对混沌振子相图的状态进行描述,通过不变矩-策动力关系曲线确定混沌振子相图处于大尺度周期状态的左临界阈值,根据混沌振子混沌状态和大尺度周期状态下不变矩的差异实现混沌振子相图的自动识别。对仿真和工程实测信号进行了分析,结果表明,不变矩值能够准确识别混沌振子相图的状态,并具有良好的抗噪能力。When chaotic oscillator changing from chaotic state to large-scale periodic state, its phase diagram symmetry will obviously changed. Hu invariant moment is adopted to describe the different state of chaotic oscillator phase diagram. The threshold value of chaos oscillator under the large-scale periodic state is ascertained by the curve of invariant moment-periodic driving force. According to the difference of Hu invariant moment value for different chaotic oscillator phase diagram,the state of chaos oscillator can be automatically identified. Finally, the simulated and engineering vibration signals are analyzed, and the results show that invariant moment can accurately identify the state of chaotic oscillator and have better noise-tolerance.

关 键 词：混沌振子 不变矩 故障诊断 对称性 临界阈值 

分 类 号：TN911[电子电信—通信与信息系统] TH165[电子电信—信息与通信工程]