基于不变矩的微弱信号检测方法
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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.
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.
引文
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[2]李月,徐凯,杨宝俊,等.混沌振子系统周期几何解特征量分析与微弱周期信号的定量检测[J].物理学报,2008,57(6):3353-3358.Li Yue,Xu Kai,Yang Baojun,et al.Analysis of thegeometric characteristic quantity of the periodicsolutions of the chaotic oscillator system and thequantitative detection of weak periodic signal[J].Acta Physica Sinica,2008,57(6):3353-3358.(inChinese)
[3]张宾,李月,马海涛.微弱信号混沌检测临界阈值的Lyapunov指数算法[J].地球物理学进展,2003,18(4):748-751.Zhang Bin,Li Yue,Ma Haitao.An algorithm basedon Lyapunov exponents to determine the threshold ofchaotic detection for weak signal[J].Progress inGeophysics,2003,18(4):748-751.(in Chinese)
[4]Wang Guanyu,Zheng Wei,He Sailing.Estimation ofamplitude and phase of a weak signal by using theproperty of sensitive dependence on initial conditionsof a nonlinear oscillator[J].Signal Processing,2002,82(1):103-115.
[5]路鹏,李月.微弱正弦信号幅值混沌检测的一种改进方案[J].电子学报,2005,33(3):527-529.Lu Peng,Li Yue.A modified chaos based weaksinusoidal signal amplitude detection approach[J].Acta Electronica Sinica,2005,33(3):527-529.(inChinese)
[6]Hu M K.Visual pattern recognition by momentinvariant[J].IEEE Trans on Information Theory,1962,1(8):179-187.
[7]翁桂荣,薛峰.几种特征描述方法在轴心轨迹识别中的应用[J].振动、测试与诊断,2007,27(4):295-299.Weng Guirong,Xue Feng.Application of severalfeature description methods to identification of shaftorbit[J].Journal of Vibration,Measurement&Diagnosis,2007,27(4):295-299.(in Chinese)
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