| 基于Duffing振子的变尺度微弱特征信号检测方法研究 |
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| 引用本文： | 赖志慧,冷永刚,孙建桥,范胜波.基于Duffing振子的变尺度微弱特征信号检测方法研究[J].物理学报,2012,61(5):50503-050503. |
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| 作者姓名： | 赖志慧 冷永刚 孙建桥 范胜波 |
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| 作者单位： | 天津大学机械工程学院,天津,300072 |
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| 基金项目： | 国家自然科学基金(批准号: 50975202)资助的课题. |
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| 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.
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| 关 键 词： | Duffing振子 微弱特征信号 Gauss白噪声 变尺度 |
| 收稿时间： | 6/8/2011 12:00:00 AM |
Weak characteristic signal detection based on scale transformation of Duffing oscillator |
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| Lai Zhi-Hui,Leng Yong-Gang,Sun Jian-Qiao and Fan Sheng-Bo.Weak characteristic signal detection based on scale transformation of Duffing oscillator[J].Acta Physica Sinica,2012,61(5):50503-050503. |
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| Authors: | Lai Zhi-Hui Leng Yong-Gang Sun Jian-Qiao and Fan Sheng-Bo |
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| Institution: | School of Mechanical Engineering, Tianjin University, Tianjin 200072, China;School of Mechanical Engineering, Tianjin University, Tianjin 200072, China;School of Mechanical Engineering, Tianjin University, Tianjin 200072, China;School of Mechanical Engineering, Tianjin University, Tianjin 200072, China |
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| Abstract: | 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. |
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| Keywords: | Duffing oscillator weak characteristic signal Gaussian white noise scale transformation |
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