Chin. Phys. Lett.  2011, Vol. 28 Issue (4): 040502    DOI: 10.1088/0256-307X/28/4/040502
GENERAL |
Weak Signal Frequency Detection Method Based on Generalized Duffing Oscillator
SHI Si-Hong, YUAN Yong, WANG Hui-Qi, LUO Mao-Kang**
College of Mathematics, Sichuan University, Chengdu 610064
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SHI Si-Hong, YUAN Yong, WANG Hui-Qi et al  2011 Chin. Phys. Lett. 28 040502
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Abstract The sensitive characteristic to the initial value of chaos system sufficiently demonstrates the superiority in weak signal parameters detection. Analyzing the current chaos-based frequency detection method, a novel generalized Duffing equation is proposed to detect weak signal frequency. By choosing a suitable adjusting factor, when the outside driving force frequency is equal to that of the detected signal, the generalized Duffing oscillator is in great period state, which can obtain the frequency information of the detected signal. The simulation results indicate this method is rapidly convenient and shows better accuracy.
Keywords: 05.10.-a      05.45.-a      05.45.Gg      05.45.Pq     
Received: 03 September 2010      Published: 29 March 2011
PACS:  05.10.-a (Computational methods in statistical physics and nonlinear dynamics)  
  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/4/040502       OR      https://cpl.iphy.ac.cn/Y2011/V28/I4/040502
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Articles by authors
SHI Si-Hong
YUAN Yong
WANG Hui-Qi
LUO Mao-Kang
[1] Tang Q and Wang X Y 2010 Chin. Phys. Lett. 27 030508
[2] Zhang Y, Lu S and Wang Y H 2009 Chin. Phys. Lett. 26 090501
[3] Feng J C and Lu R H 2002 Chin. Phys. Lett. 19 302
[4] Nie C Y, 2009 Chaos System and Weak Signal Detection (Beijing: Tsinghua University Press) (in Chinese)
[5] Li Y, Shi Y W, Ma H T and Yang B J 2004 Acta. Electron. Sin. 1 87 (in Chinese)
[6] Wang Y S, Jiang W Z, Zhao J J and Fan H D 2008 Acta. Phys. Sin. 57 2053 (in Chinese)
[7] Wang G Y and He S L 2003 IEEE Trans. Circuits Syst. I: Fundam. Theor. Appl. 50 945
[8] Nie C Y, Shi Y W, Wang Z W and Guo B 2006 ISICT'2006 p10
[9] Nie C Y, Shi Y W, Yi W S and Wang Y W 2004 J. Trans. Technol. 23 57 (in Chinese)
[10] Li Y, Yang B J, Lin H B and Liu X H 2005 Acta. Phys. Sin. 54 1994 (in Chinese)
[11] Lou T L 2008 Internat. Sem. Biomed. l Inform. Eng. p361
[12] Melnikov V K 1963 Trans. Moscow Math 12 1
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