| 混沌态杜芬振子与弱正弦信号参量估计 |
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| 引用本文： | 衣文索,石要武,聂春燕.混沌态杜芬振子与弱正弦信号参量估计[J].计量学报,2006,27(2):156-159. |
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| 作者姓名： | 衣文索 石要武 聂春燕 |
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| 作者单位： | 吉林大学通信工程学院,吉林,长春,130025 |
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| 摘 要： | 建立了一个对微弱正弦信号参量变化极其敏感的动力学系统.首先对多参量简化杜芬方程进行了改进,采用梅尔尼科夫过程函数讨论了方程的解和微分流形的演化情况;分析了非高斯色噪声对杜芬振子混沌运动行为的影响;进而提出了一种新的非高斯色噪声背景下正弦信号参量估计方法.理论分析和仿真实验都表明,此杜芬振子混沌状态下对任何零均值噪声具有免疫力,对正弦信号参量变化极为敏感.
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| 关 键 词： | 计量学 非高斯色噪声 混沌 杜芬振子 参量估计 |
| 文章编号： | 1000-1158（2006）02-0156-04 |
| 收稿时间： | 2004-06-15 |
| 修稿时间： | 2004-11-08 |
Methods of Duffing Oscillator Chaotic Movement for Sine Wave Parameter Estimation |
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| YI Wen-suo,SHI Yao-wu,NIE Chun-yan.Methods of Duffing Oscillator Chaotic Movement for Sine Wave Parameter Estimation[J].Acta Metrologica Sinica,2006,27(2):156-159. |
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| Authors: | YI Wen-suo SHI Yao-wu NIE Chun-yan |
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| Affiliation: | College of Communication Technology, Jilin University, Changchun, Jilin 130025, China |
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| Abstract: | A dynamic system which is very sensitive to weak sine wave parameters is established, the multi-parameter complete Duffing equation is studied in detail. Methods of random Melnikov process function are introduced to analyze the equation and the differential trajectory, the influence of non-Gaussian color noise on Duffing oscillator chaotic motion behavior is also studied, a new chaotic method for the sine wave parameter estimation in non-Gaussian color noise environment is given. The theoretic analysis and the numerical result confirm the conclusion that the chaotic oscillator is immune to zero mean-square nonGanssian color noise and very sensitive to weak variation for sine wave parameters. |
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| Keywords: | Metrology Non-Gaussian color noise Chaos Duffing oscillator Parameter estimation |
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