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Numerical research of signal-to-noise ratio gain on a monostable stochastic resonance

Wan Pin Li Xue-Cong Wang Yong-Hua Zhan Yi-Ju

Numerical research of signal-to-noise ratio gain on a monostable stochastic resonance

Wan Pin, Li Xue-Cong, Wang Yong-Hua, Zhan Yi-Ju
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  • We report a stochastic resonance with the signal-to-noise ratio gain in a monostable system, by the fourth-order Runge-Kutta method, and on some occasions the signal-to-noise ratio gain exceeds 1. Tuning the parameters in the monostable stochastic resonance system can change the signal-to-noise ratio gain. This research result is the latest development of the monostable stochastic resonance, and has potential applications in the signal detection, processing and communications.
    • Funds:
    [1]

    Stocks N G,Stein N D,McClintock P V E 1993 J. Phys. A: Math. Gen. 26 L385

    [2]

    Vilar J M G,Rubí J M 1996 Phys. Rev. Lett. 77 2863

    [3]

    Lindner J F,Breen B J,Wills M E,Bulsara A R,Ditto W L 2001 Phys. Rev. E 63 051107

    [4]

    Grigorenko A N,Nikitin S I,Roschepkin G V 1997 Phys. Rev. E 56 R4907

    [5]

    Vilar J M G,Rubí J M 1997 Phys. Rev. Lett. 78 2882

    [6]

    Pérez-Madrid A,Rubí J M 1995 Phys. Rev. E 51 4159

    [7]

    Raikher Y L,Stepanov V I 1995 Phys. Rev. B 52 3493

    [8]

    Guo F,Zhou Y R,Jiang S Q,Gu T X 2006 J. Phys. A: Math. Gen. 39 13861

    [9]

    Guo F,Luo X D,Li S F,Zhou Y R 2010 Chin. Phys. B 19 080504

    [10]

    Agudov N V,Krichigin A V 2008 Radiophysics and Quantum Electronics 51 812

    [11]

    Agudov N V,Krichigin A V,Valenti D,Spagnolo B 2010 Phys. Rev. E 81 051123

    [12]

    Kang Y M,Xu J X,Xie Y 2003 Acta Phys. Sin. 52 2712 ( in Chinese) [康艳梅、徐健学、谢 勇 2003 物理学报 52 2712]

    [13]

    Evstigneev M,Reimann P,Pankov V,Prince R H 2004 Europhys. Lett. 65 7

    [14]

    Gammaitoni L,Hanggi P,Jung P,Marchesoni F 1998 Rev. Mod. Phys. 70 223

    [15]

    Jung P,Hanggi P 1991 Phys. Rev. A 44 8032

    [16]

    Evstigneev M,Pankov V,Prince R H 2001 J. Phys. A: Math. Gen. 34 2595

    [17]

    Mitaim S,Kosko B 1998 Proceedings of the IEEE 86 2152

    [18]

    Wang Y G,Wu L N 2009 Acta Electronica Sinica 37 2273 ( in Chinese) [王友国、吴乐南 2009 电子学报 37 2273]

    [19]

    Gingl Z,Vajtai R,Kiss L B 2000 Chaos, Solitons & Fractals 11 1929

    [20]

    Fauve S,Heslot F 1983 Phys. Lett. A 97 5

    [21]

    Bulsara AR,Gammaitoni L 1996 Phys. Tod. 49 39

    [22]

    Xu B,Duan F,Bao R,Li J 2002 Chaos, Solitons & Fractals 13 633

    [23]

    Leng Y G 2009 Acta Phys. Sin. 58 5196 ( in Chinese) [冷永刚 2009 物理学报 58 5196]

    [24]

    Li J L,Xu B H 2006 Chin. Phys. 15 2867

    [25]

    Leng Y G, Wang T Y,Qin X D,Li R X,Guo Y 2004 Acta Phys. Sin. 53 717 ( in Chinese) [冷永刚、王太勇、秦旭达、李瑞欣、郭 焱 2004 物理学报 53 717]

  • [1]

    Stocks N G,Stein N D,McClintock P V E 1993 J. Phys. A: Math. Gen. 26 L385

    [2]

    Vilar J M G,Rubí J M 1996 Phys. Rev. Lett. 77 2863

    [3]

    Lindner J F,Breen B J,Wills M E,Bulsara A R,Ditto W L 2001 Phys. Rev. E 63 051107

    [4]

    Grigorenko A N,Nikitin S I,Roschepkin G V 1997 Phys. Rev. E 56 R4907

    [5]

    Vilar J M G,Rubí J M 1997 Phys. Rev. Lett. 78 2882

    [6]

    Pérez-Madrid A,Rubí J M 1995 Phys. Rev. E 51 4159

    [7]

    Raikher Y L,Stepanov V I 1995 Phys. Rev. B 52 3493

    [8]

    Guo F,Zhou Y R,Jiang S Q,Gu T X 2006 J. Phys. A: Math. Gen. 39 13861

    [9]

    Guo F,Luo X D,Li S F,Zhou Y R 2010 Chin. Phys. B 19 080504

    [10]

    Agudov N V,Krichigin A V 2008 Radiophysics and Quantum Electronics 51 812

    [11]

    Agudov N V,Krichigin A V,Valenti D,Spagnolo B 2010 Phys. Rev. E 81 051123

    [12]

    Kang Y M,Xu J X,Xie Y 2003 Acta Phys. Sin. 52 2712 ( in Chinese) [康艳梅、徐健学、谢 勇 2003 物理学报 52 2712]

    [13]

    Evstigneev M,Reimann P,Pankov V,Prince R H 2004 Europhys. Lett. 65 7

    [14]

    Gammaitoni L,Hanggi P,Jung P,Marchesoni F 1998 Rev. Mod. Phys. 70 223

    [15]

    Jung P,Hanggi P 1991 Phys. Rev. A 44 8032

    [16]

    Evstigneev M,Pankov V,Prince R H 2001 J. Phys. A: Math. Gen. 34 2595

    [17]

    Mitaim S,Kosko B 1998 Proceedings of the IEEE 86 2152

    [18]

    Wang Y G,Wu L N 2009 Acta Electronica Sinica 37 2273 ( in Chinese) [王友国、吴乐南 2009 电子学报 37 2273]

    [19]

    Gingl Z,Vajtai R,Kiss L B 2000 Chaos, Solitons & Fractals 11 1929

    [20]

    Fauve S,Heslot F 1983 Phys. Lett. A 97 5

    [21]

    Bulsara AR,Gammaitoni L 1996 Phys. Tod. 49 39

    [22]

    Xu B,Duan F,Bao R,Li J 2002 Chaos, Solitons & Fractals 13 633

    [23]

    Leng Y G 2009 Acta Phys. Sin. 58 5196 ( in Chinese) [冷永刚 2009 物理学报 58 5196]

    [24]

    Li J L,Xu B H 2006 Chin. Phys. 15 2867

    [25]

    Leng Y G, Wang T Y,Qin X D,Li R X,Guo Y 2004 Acta Phys. Sin. 53 717 ( in Chinese) [冷永刚、王太勇、秦旭达、李瑞欣、郭 焱 2004 物理学报 53 717]

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  • Received Date:  19 November 2010
  • Accepted Date:  13 December 2010
  • Published Online:  15 April 2011

Numerical research of signal-to-noise ratio gain on a monostable stochastic resonance

  • 1. (1)Faculty of Automation, Guangdong University of Technology, Guangzhou 510006, China; (2)School of Engineering, Sun Yat-Sen University, Guangzhou 510006, China

Abstract: We report a stochastic resonance with the signal-to-noise ratio gain in a monostable system, by the fourth-order Runge-Kutta method, and on some occasions the signal-to-noise ratio gain exceeds 1. Tuning the parameters in the monostable stochastic resonance system can change the signal-to-noise ratio gain. This research result is the latest development of the monostable stochastic resonance, and has potential applications in the signal detection, processing and communications.

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