一种新的间歇混沌信号Poincar映像判别方法

谢涛; 魏学业

doi:10.3724/SP.J.1146.2007.01467

一种新的间歇混沌信号Poincar映像判别方法

doi: 10.3724/SP.J.1146.2007.01467

谢涛,
魏学业

计量
- 文章访问数: 3522
- HTML全文浏览量: 94
- PDF下载量: 846
- 被引次数: 0
出版历程
- 收稿日期: 2007-09-13
- 修回日期: 2008-01-21
- 刊出日期: 2008-09-19

A New Method of Intermittent Chaotic Signal Identification Based on Poincar Map

Xie Tao,
Wei Xue-Ye

摘要

摘要: 针对混沌振子微弱信号检测中间歇混沌信号的判别问题，该文分析了噪声对Poincar截面的扰动影响，提出一种基于Poincar映像的新方法，并通过数值仿真对该方法进行了验证，结果表明在强噪声作用下，即使相空间分量输出波形难以进行判别，该方法仍然能够实现间歇混沌发生频率的有效判别，且抑制了混沌振子自发的短时间周期振荡现象，实现了强噪声背景下微弱周期信号的快速有效检测。
- 混沌振子 /
- 微弱信号检测 /
- 间歇混沌信号识别 /
- Poincar截面 /
- Poincar映像
Abstract: In view of intermittent chaotic signal identification problem for chaotic oscillator weak signal detection, noise disturbing effect on Poincar section is analyzed, a new identification method based on a Poincar map is proposed and numerical simulation is done in order to validate this method. The result shows that this method archives effective identification to intermittent chaotic signal frequency, even when the output wave of phase component is hard to identify. The short-time periodic chaotic self-oscillation is restrained, a swift and validate weak signal detection under strong noise background is realized.
- C /
- h /
- a /
- o

HTML全文

参考文献(1)

[1] Brown R, Chua L, and Popp B. Is sensitive dependence oninitial conditions natures sensory device? [J].Int. J. Bifurc.Chaos.1992, 2(1):193-199 [2] Wang Guan-yu, Chen Da-jun, and Lin Jian-ya, et al.. Theapplication of chaotic oscillators to weak signal detection.IEEE Trans. on Industrial Electronics [J]. 1999, 46(2):440-444. [3] 李月, 杨宝俊, 石要武, 等. 纳伏级正弦信号的混沌检测方法研究. 通信学报, 2003, 24(4): 25-30.Li Yue, Yang Bao-jun, and Shi Yao-wu, et al.. Study onchaotic detection method of nV-level sine signal. Journal ofChina Institute of Communications, 2003, 24(4): 25-30. [4] 李月, 路鹏, 杨宝俊, 等. 用一类特定的双耦合Duffing振子系统检测强噪声背景中的周期信号[J]. 物理学报, 2006, 55(4):1672-1677.Li Yue, Lu Peng, and Yang Bao-jun, et al.. Applying a specialkind of two coupled Duffing oscillator system to detectperiodic signals under the background of strong colored noise.Atca Physica Sinica, 2006, 55(4): 1672-1677. [5] 赵华, 尹成群, 尚秋峰, 等. 双振子差分混沌特性判断方法[J].中国电机工程学报, 2006, 26(23): 32-35.Zhao Hua, Yin Cheng-qun, and Shang Qiu-feng, et al.. Twooscillator-difference-chaotic-identification method [J]. Proceedingof the CSEE, 2006, 26(23): 32-35. [6] 刘丁, 任海鹏, 李虎明, 等. 基于Lyapunov指数的弱周期信号检测[J]. 仪器仪表学报, 2005, 26(12): 1215-1243.Liu Ding, Ren Hai-peng, and Li Hu-ming. Weak signaldetection based on Lyapunov exponents [J]. Chinese Journalof Scientific Instrumeng, 2005, 26(12): 1215-1243. [7] Kao Yao Huang, Huang Jeun Chyuan, and Gou Yi Shun.Persistent properties of crisis in a Duffing oscillator [J].Physical Review A.1987, 35(12):5228-5232 [8] Wolf A, Swift J B, and Swinney H L, et al.. DeterminingLyapunov exponents from a time series [J]. Physica, 1985,16D: 285-317. [9] 王冠宇, 陈大军, 林建亚, 等. Duffing振子微弱信号检测方法的统计特性研究[J]. 电子学报, 1998, 26(10): 38-44.Wang Guan-yu, Chen Da-jun, and Lin Jian-ya, et al.. Thestatistical characteristic of weak signal detection based onDuffing oscillator. Atca Electronica Sinica, 1998, 26(10):38-44. [10] Serletis A, Shahmoradi A, and Serletis D. Effect of noise onthe bifurcation behavior of nonlinear dynamical systems [J].Chaos, Solitons and Fractals.2007, 33(3):914-921

施引文献

资源附件(0)

访问统计