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It is of significance in engineering to achieve stochastic resonance of periodic signal with large frequency by turning the parameters of a bistable system. The normalization transform of bistable system parameter is deduced. Stochastic resonance of periodic signal with large parameters is exhibited by numerical simulation based on the proposed normalization transform, by which an arbitrary high frequency periodic signal can be processed. Analog circuit is used to verify the stochastic resonance happening in the bistable system with large parameters. The mechanism of realizing a periodic signal with large parameters by twice sampling stochastic resonance is analyzed, which is compared with normalization transform method through numerical simulation. The simulation results show that the numerical solution of twice sampling stochastic resonance is prone to being unstable with the variation of mixed input signal amplitude, while the normalization transform method possesses more stability and adaptability.
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Keywords:
- bistable system /
- stochastic resonance with large parameters /
- detection of weak periodic signal /
- numerical simulation
[1] Benzi R, Sutera A, Vulpiana A 1981 Physica A 14 L453
[2] Benzi R, Parisi G, Sutera A, Vulpiana A 1982 Tellus 34 11
[3] Bulsara A R, Gammaitoni L 1996 Phys. Today 49 39
[4] Chen H, Varshney P K 2008 IEEE Trans. Signal Process. 56 5031
[5] Liu Z Q, Zhang H M, Li Y Y, Hua C C, Gu H G 2010 Physica A 389 2642
[6] Sasaki H, Sakane S, Saito H, Todorokihara M, Aoki R 2010 J. Physiol. Sci. 60 138
[7] Zhang H Q, Xu W, Sun C Y, Xu Y 2011 Int. J. Mod. Phys. B 25 1775
[8] Lin M, Huang Y M, Fang L M 2008 Acta Phys. Sin. 57 2041 (in Chinese) [林敏, 黄咏梅, 方利民 2008 57 2041]
[9] Leng Y G, Wang T Y 2003 Acta Phys. Sin. 52 2432 (in Chinese) [冷永刚, 王太勇 2003 52 2432]
[10] 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 53 717]
[11] Leng Y G, Leng Y S, Wang T Y, Guo Y 2006 J. Sound Vib. 292 788
[12] Leng Y G, Wang T Y, Guo Y, Wu Z Y 2007 Acta Phys. Sin. 56 30 (in Chinese) [冷永刚, 王太勇, 郭焱, 吴振勇 2007 56 30]
[13] Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese) [冷永刚 2009 58 5196]
[14] Zhu G Q, Ding K, Zhang Y, Zhao Y 2010 Acta Phys. Sin. 59 3001 (in Chinese) [朱光起, 丁珂, 张宇, 赵远 2010 59 3001]
[15] Chen M, Hu N Q, Qin G J, An M C 2009 Chin. J. Mech. Eng. 45 131 (in Chinese) [陈敏, 胡茑庆, 秦国军, 安茂春 2009 机械工程学报 45 131]
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[1] Benzi R, Sutera A, Vulpiana A 1981 Physica A 14 L453
[2] Benzi R, Parisi G, Sutera A, Vulpiana A 1982 Tellus 34 11
[3] Bulsara A R, Gammaitoni L 1996 Phys. Today 49 39
[4] Chen H, Varshney P K 2008 IEEE Trans. Signal Process. 56 5031
[5] Liu Z Q, Zhang H M, Li Y Y, Hua C C, Gu H G 2010 Physica A 389 2642
[6] Sasaki H, Sakane S, Saito H, Todorokihara M, Aoki R 2010 J. Physiol. Sci. 60 138
[7] Zhang H Q, Xu W, Sun C Y, Xu Y 2011 Int. J. Mod. Phys. B 25 1775
[8] Lin M, Huang Y M, Fang L M 2008 Acta Phys. Sin. 57 2041 (in Chinese) [林敏, 黄咏梅, 方利民 2008 57 2041]
[9] Leng Y G, Wang T Y 2003 Acta Phys. Sin. 52 2432 (in Chinese) [冷永刚, 王太勇 2003 52 2432]
[10] 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 53 717]
[11] Leng Y G, Leng Y S, Wang T Y, Guo Y 2006 J. Sound Vib. 292 788
[12] Leng Y G, Wang T Y, Guo Y, Wu Z Y 2007 Acta Phys. Sin. 56 30 (in Chinese) [冷永刚, 王太勇, 郭焱, 吴振勇 2007 56 30]
[13] Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese) [冷永刚 2009 58 5196]
[14] Zhu G Q, Ding K, Zhang Y, Zhao Y 2010 Acta Phys. Sin. 59 3001 (in Chinese) [朱光起, 丁珂, 张宇, 赵远 2010 59 3001]
[15] Chen M, Hu N Q, Qin G J, An M C 2009 Chin. J. Mech. Eng. 45 131 (in Chinese) [陈敏, 胡茑庆, 秦国军, 安茂春 2009 机械工程学报 45 131]
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