一种单稳随机共振系统信噪比增益的数值研究

万频; 詹宜巨; 李学聪; 王永华

doi:10.7498/aps.60.040502

摘要

采用四阶Runge-Kutta数值求解方法, 发现一种单稳随机共振系统信噪比增益的随机共振现象, 并且在一定的条件下系统信噪比增益大于1.通过调节单稳随机共振系统参数可以改变信噪比增益.本文结果拓展了这类单稳的已有研究范围, 在信号检测与处理以及通信领域有着潜在的应用价值.

关键词:

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.

Keywords:

作者及机构信息

(1)广东工业大学自动化学院,广州 510006; (2)中山大学工学院,广州 510006

基金项目: 国家自然科学基金(批准号:60871025) 资助的课题.

Authors and contacts

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

参考文献

[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]

施引文献

[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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