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By numerical simulations we find that the Duffing state transition from big-cycle motion to chaotic motion is more suited to weak signal detection. Based on this, in this paper, we propose a new weak periodic signal detection method from the angle of theoretical analysis. The principle of the proposed method is introduced and its feasibility is analyzed. Then, the proposed method and the traditional method are compared and analyzed both in transition zone effect and detection probability, and then a contrast simulation is carried out. The analysis and simulation results both indicate, the Duffing oscillator state transition from big-cycle motion to chaotic motion is affected less by transition zone under the same condition, based on which the proposed detection method possesses better detection capability. The simulation data also show that weak signal detection with Duffing oscillator must be based on unilateral state transition. The frequency difference detection based on intermittent chaos is suited only for the case where the signal-to-noise ratio of the detected signal is relatively high.
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Keywords:
- Duffing /
- chaos /
- detection /
- transition zone
[1] Li Y, Lu P, Yang B J, Zhao X P 2006 Acta Phys. Sin. 55 1672 (in Chinese) [李月, 路鹏, 杨宝俊, 赵雪平 2006 55 1672]
[2] Birx D I 1992 IEEE Int. Joint Conf. Neural Networks 22 881
[3] Wu Y F, Zhang S P, Sun J W, Peter R 2011 Acta Phys. Sin. 60 020511 (in Chinese) [吴勇峰, 张世平, 孙金玮, Peter R 2011 60 020511]
[4] Qing W Y, Su H, Yang Y F 2008 Acta Phys. Sin.57 2704 (in Chinese) [秦卫阳, 苏浩, 杨永峰 2008 57 2704]
[5] Wang Y S, Jiang W Z, Zhao J J, Fan H D 2008 Acta Phys. Sin.57 2053 (in Chinese) [王永生, 姜文志, 赵建军, 范洪达 2008 57 2053]
[6] Nie C Y 2006 Ph. D. Dissertation (Jilin: Jilin University) p60-61 (in Chinese) [聂春燕 2006 博士学位论文 (吉林:吉林大学) 第60–61页]
[7] Nie C Y 2009 Chaotic system and weak signal detection (Beijing: Tsinghua University Press) p12, 51-52 (in Chinese) [聂春燕 2009 混沌系统与弱信号检测 (北京:清华大学出版社) 第12, 51–52页]
[8] Lai Z H, Leng Y G, Sun J Q, Fan S B 2012 Acta Phys. Sin. 61 050503 (in Chinese) [赖志慧, 冷永刚, 孙建桥, 范胜波 2012 61 050503]
[9] Li Y, Yang B J 2007 Chaotic Oscillator Systems(L-Y) and Detection (Beijing: Science Press) p16 (in Chinese) [李月, 杨宝俊 2007 混沌振子系统(L-Y)与检测 (北京:科学出版社) 第16页]
[10] Li Y, Yang B J 2004 Chaotic Oscillator Detection Introduction (Beijing: Publishing house of electronics industry) p51-55 (in Chinese) [李月, 杨宝俊 2004 混沌振子检测引论 (北京:电子工业出版社) 第51–55页]
[11] Jiang W L, Wu S Q, Zhang J C 2002 Journal of Yanshan University 26 114 (in Chinese) [姜万禄, 吴胜强, 张建成 2002 燕山大学学报 26 114]
[12] Li Y, Yang B J, Lin H B, Liu X H 2005 Acta Phys. Sin. 54 1994 (in Chinese) [李月, 杨宝俊, 林红波, 刘晓华 2005 54 1994]
[13] Wang K, Guan X P, Ding X F, Qiao J M 2010 Acta Phys. Sin. 59 6859 (in Chinese) [王坤, 关新平, 丁喜峰, 乔杰敏 2010 59 6859]
[14] Jin T, Zhang H 2011 Sci. Chin. Info. Sci. 41 1184 (in Chinese) [金天, 张骅 2011 中国科学:信息科学 41 1184]
[15] Li Y, Yang B J, Shi Y W 2003 Acta Phys. Sin. 52 526 (in Chinese) [李月, 杨宝俊, 石要武 2003 52 526]
[16] Fu Y Q, Wu D M, Zhang L, Li X Y 2011 Sci. Chin. Inf. Sci. 54 1274
[17] Zhai D Q, Liu C X, Liu Y, Xu Z 2010 Acta Phys. Sin. 59 816 (in Chinese) [翟笃庆, 刘崇新, 刘尧, 许喆 2010 59 816]
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[1] Li Y, Lu P, Yang B J, Zhao X P 2006 Acta Phys. Sin. 55 1672 (in Chinese) [李月, 路鹏, 杨宝俊, 赵雪平 2006 55 1672]
[2] Birx D I 1992 IEEE Int. Joint Conf. Neural Networks 22 881
[3] Wu Y F, Zhang S P, Sun J W, Peter R 2011 Acta Phys. Sin. 60 020511 (in Chinese) [吴勇峰, 张世平, 孙金玮, Peter R 2011 60 020511]
[4] Qing W Y, Su H, Yang Y F 2008 Acta Phys. Sin.57 2704 (in Chinese) [秦卫阳, 苏浩, 杨永峰 2008 57 2704]
[5] Wang Y S, Jiang W Z, Zhao J J, Fan H D 2008 Acta Phys. Sin.57 2053 (in Chinese) [王永生, 姜文志, 赵建军, 范洪达 2008 57 2053]
[6] Nie C Y 2006 Ph. D. Dissertation (Jilin: Jilin University) p60-61 (in Chinese) [聂春燕 2006 博士学位论文 (吉林:吉林大学) 第60–61页]
[7] Nie C Y 2009 Chaotic system and weak signal detection (Beijing: Tsinghua University Press) p12, 51-52 (in Chinese) [聂春燕 2009 混沌系统与弱信号检测 (北京:清华大学出版社) 第12, 51–52页]
[8] Lai Z H, Leng Y G, Sun J Q, Fan S B 2012 Acta Phys. Sin. 61 050503 (in Chinese) [赖志慧, 冷永刚, 孙建桥, 范胜波 2012 61 050503]
[9] Li Y, Yang B J 2007 Chaotic Oscillator Systems(L-Y) and Detection (Beijing: Science Press) p16 (in Chinese) [李月, 杨宝俊 2007 混沌振子系统(L-Y)与检测 (北京:科学出版社) 第16页]
[10] Li Y, Yang B J 2004 Chaotic Oscillator Detection Introduction (Beijing: Publishing house of electronics industry) p51-55 (in Chinese) [李月, 杨宝俊 2004 混沌振子检测引论 (北京:电子工业出版社) 第51–55页]
[11] Jiang W L, Wu S Q, Zhang J C 2002 Journal of Yanshan University 26 114 (in Chinese) [姜万禄, 吴胜强, 张建成 2002 燕山大学学报 26 114]
[12] Li Y, Yang B J, Lin H B, Liu X H 2005 Acta Phys. Sin. 54 1994 (in Chinese) [李月, 杨宝俊, 林红波, 刘晓华 2005 54 1994]
[13] Wang K, Guan X P, Ding X F, Qiao J M 2010 Acta Phys. Sin. 59 6859 (in Chinese) [王坤, 关新平, 丁喜峰, 乔杰敏 2010 59 6859]
[14] Jin T, Zhang H 2011 Sci. Chin. Info. Sci. 41 1184 (in Chinese) [金天, 张骅 2011 中国科学:信息科学 41 1184]
[15] Li Y, Yang B J, Shi Y W 2003 Acta Phys. Sin. 52 526 (in Chinese) [李月, 杨宝俊, 石要武 2003 52 526]
[16] Fu Y Q, Wu D M, Zhang L, Li X Y 2011 Sci. Chin. Inf. Sci. 54 1274
[17] Zhai D Q, Liu C X, Liu Y, Xu Z 2010 Acta Phys. Sin. 59 816 (in Chinese) [翟笃庆, 刘崇新, 刘尧, 许喆 2010 59 816]
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