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We propose a new piecewise-linear model. The principle of stochastic resonance in the new piecewise-linear model is introduced, and the formula of the signal-to-noise ratio (SNR) is deduced. It is proved that stochastic resonance characteristics can be utilized to realize the conversion of noise energy into periodic signal energy. The results clearly show the enhancement of the SNR of the output signal. The model characteristic that the weak periodic signal can be detected from noise background is investigated by the numerical simulation. The stochastic resonance system based on the model is built by using a circuit. The behaviors of stochastic resonance are studied when the circuit is driven by noise and period signal. The simulation and experimental results show that the model can effectively detect weak periodic signal, and enhance the SNR prominently.
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Keywords:
- stochastic resonance /
- piecewise-linear model /
- circuit /
- detection of weak signal
[1] Benzi R, Parisi G, Stuera A 1981 J. Phys. A: Math. Gen. 14 453
[2] Leng Y G, Wang T Y 2003 Acta Phys. Sin. 52 2431 (in Chinese) [冷永刚, 王太勇 2003 52 2431]
[3] Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Science and Technology Education Press) p219 (in Chinese) [胡岗 1994 随机力与非线性系统 (上海: 上海科学教育出版社) 第 219 页]
[4] Fauve S, Heslot F 1983 Phys. Lett. A 97 5
[5] Mantegna R N, Spagnolo B 1994 Phys. Rev. E 49 1792
[6] Lanzara E, Mantegna R N, Spagnolo B, Zangara R 1997 Amer. J. Phys. 65 341
[7] Ning L J, Xu W 2009 Acta Phys. Sin. 58 2889 (in Chinese) [宁丽娟, 徐伟 2009 58 2889]
[8] Yang D X, Hu Y Q 2003 J. Circ. Sys. 9 135 (in Chinese) [杨定新, 胡莺庆 2003 电路与系统学报 9 135]
[9] Yang D X, Hu Y Q, Wen X S 2004 J. Vibr. Eng. 17 475 (in Chinese) [杨定新, 胡莺庆, 温熙森 2004 振动工程学报 17 475]
[10] Zhao W L, Tian F, Shao L D 2007 Chin. J. Scie. Ins. 28 1787 (in Chinese) [赵文礼, 田帆, 邵柳东 2007 仪器仪表学报 28 1787]
[11] Lin L, Yan Y, Mei D C 2010 Acta Phys. Sin. 59 2240 (in Chinese) [林灵, 闫勇, 梅冬成 2010 59 2240]
[12] Zhang X Y, Xu W, Zhou B C 2011 Acta Phys. Sin. 60 514 [张晓燕, 徐伟, 周丙常 2011 60 514]
[13] Wan P, Zhan Y C, Li X C, Wang Y H 2011 Acta Phys. Sin. 60 502 (in Chinese) [万频, 詹宜臣, 李学聪, 王永华 2011 60 502]
[14] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[15] Wang L Z, Chen X, Zhao W L 2010 J. Circ. Sys. 15 32 [王林泽, 陈旋, 赵文礼 2010 电路与系统学报 15 32]
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[1] Benzi R, Parisi G, Stuera A 1981 J. Phys. A: Math. Gen. 14 453
[2] Leng Y G, Wang T Y 2003 Acta Phys. Sin. 52 2431 (in Chinese) [冷永刚, 王太勇 2003 52 2431]
[3] Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Science and Technology Education Press) p219 (in Chinese) [胡岗 1994 随机力与非线性系统 (上海: 上海科学教育出版社) 第 219 页]
[4] Fauve S, Heslot F 1983 Phys. Lett. A 97 5
[5] Mantegna R N, Spagnolo B 1994 Phys. Rev. E 49 1792
[6] Lanzara E, Mantegna R N, Spagnolo B, Zangara R 1997 Amer. J. Phys. 65 341
[7] Ning L J, Xu W 2009 Acta Phys. Sin. 58 2889 (in Chinese) [宁丽娟, 徐伟 2009 58 2889]
[8] Yang D X, Hu Y Q 2003 J. Circ. Sys. 9 135 (in Chinese) [杨定新, 胡莺庆 2003 电路与系统学报 9 135]
[9] Yang D X, Hu Y Q, Wen X S 2004 J. Vibr. Eng. 17 475 (in Chinese) [杨定新, 胡莺庆, 温熙森 2004 振动工程学报 17 475]
[10] Zhao W L, Tian F, Shao L D 2007 Chin. J. Scie. Ins. 28 1787 (in Chinese) [赵文礼, 田帆, 邵柳东 2007 仪器仪表学报 28 1787]
[11] Lin L, Yan Y, Mei D C 2010 Acta Phys. Sin. 59 2240 (in Chinese) [林灵, 闫勇, 梅冬成 2010 59 2240]
[12] Zhang X Y, Xu W, Zhou B C 2011 Acta Phys. Sin. 60 514 [张晓燕, 徐伟, 周丙常 2011 60 514]
[13] Wan P, Zhan Y C, Li X C, Wang Y H 2011 Acta Phys. Sin. 60 502 (in Chinese) [万频, 詹宜臣, 李学聪, 王永华 2011 60 502]
[14] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[15] Wang L Z, Chen X, Zhao W L 2010 J. Circ. Sys. 15 32 [王林泽, 陈旋, 赵文礼 2010 电路与系统学报 15 32]
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