| Physical mechanism of the chaotic detection of the unknown frequency of weak harmonic signal and effects of damping ratio on the detection results |
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| 引用本文： | 李月,杨宝俊,邓小英,金雷,杜立志.Physical mechanism of the chaotic detection of the unknown frequency of weak harmonic signal and effects of damping ratio on the detection results[J].中国物理 B,2004,13(9):1386-1390. |
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| 作者姓名： | 李月 杨宝俊 邓小英 金雷 杜立志 |
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| 作者单位： | (1)Department of Geophysics, Jilin University, Changchun 130026, China; (2)Department of Information Engineering, Jilin University, Changchun 130012, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 40374045). |
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| 摘 要： | In the zero-order approximation, we use the perturbation method of parameter with small magnitude to prove that the harmonic frequency in the solution of the equation is close to that of the driving force when the chaotic system from Duffing－Holmes equation stays in the stable periodic state, which is the physical mechanism of the detection of the unknown frequency of weak harmonic signal using the chaotic theory. The result of the simulation experiment shows that the method proposed in this paper, by which one can determine the frequency of the stable system from the number of circulation change of the phase state directionally across a fixed phase state point (x,\dot{x}) in fixed simulation time period, is successful. Analyzing the effects of the damping ratio on the chaotic detection result, one can see that for different frequency ranges it is necessary to carefully choose corresponding damping ratio α.
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| 关 键 词： | 弱谐波信号 浑沌探测 衰减率 未知频率 混沌技术 |
| 收稿时间： | 2004-01-14 |
Physical mechanism of the chaotic detection of the unknown frequency of weak harmonic signal and effects of damping ratio on the detection results |
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| Li Yue,Yang Bao-Jun,Deng Xiao-Ying,Jin Lei and Du Li-Zhi.Physical mechanism of the chaotic detection of the unknown frequency of weak harmonic signal and effects of damping ratio on the detection results[J].Chinese Physics B,2004,13(9):1386-1390. |
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| Authors: | Li Yue Yang Bao-Jun Deng Xiao-Ying Jin Lei and Du Li-Zhi |
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| Affiliation: | Department of Information Engineering, Jilin University, Changchun 130012, China; Department of Geophysics, Jilin University, Changchun 130026, China |
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| Abstract: | In the zero-order approximation, we use the perturbation method of parameter with small magnitude to prove that the harmonic frequency in the solution of the equation is close to that of the driving force when the chaotic system from Duffing－Holmes equation stays in the stable periodic state, which is the physical mechanism of the detection of the unknown frequency of weak harmonic signal using the chaotic theory. The result of the simulation experiment shows that the method proposed in this paper, by which one can determine the frequency of the stable system from the number of circulation change of the phase state directionally across a fixed phase state point (x,\dot{x}) in fixed simulation time period, is successful. Analyzing the effects of the damping ratio on the chaotic detection result, one can see that for different frequency ranges it is necessary to carefully choose corresponding damping ratio α. |
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| Keywords: | weak harmonic signal unknown frequency chaotic detection damping ratio |
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