Parameter-induced stochastic resonance in multi-frequency weak signal detection with  stable noise

Jiao Shang-Bin; Ren Chao; Huang Wei-Chao; Liang Yan-Ming

doi:10.7498/aps.62.210501

Abstract

In this paper we combine stable noise with bistable stochastic resonance to investigate the parameter-induced stochastic resonance in the high-and low-frequency (both for multi-frequency) weak signal detection with different stable noise, and explore the action laws between the stability index (0 2) and skewness parameter (-1 1) of stable noise, and the resonance system parameters a, b on the resonant output effect. Results show that for different distribution of stable noise, the high- and low-frequency weak signal detection can be realized by tuning the system parameters a and b. The intervals of a and b which can induce stochastic resonances are multiple, and do not change with or . Moreover, while detecting the high- and low-frequency weak signal, the action laws of the resonant output effect which are affected by or are the same. These results will contribute to realize a reasonable selection of parameter-induced stochastic resonance system parameters under stable noise, and lay the foundation for a practical engineering application of multi-frequency weak signal detection based on the stochastic resonance.

Keywords:

Authors and contacts

1.
Faculty of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61203114), and the Key Project of Chinese Ministry of Education (Grant No. 212169).

References

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[22]	Zeng L Z, Xu B H 2010 Journal of Physics A: Statistical Mechanics and its Applications 22 5128
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[25]	Leccardi M 2005 ENOC’O5(Fifth EUROMECH Nonlinear Dynamics Conference), Mini Symposium on Fractional Derivatives and Their Applications Eindhoven, The Netherland 2005
[26]	Nolan J P 1999 Mathematical and Computer Modelling 29 229
[27]	Tang Y, Zou W, Lu J Q, Kurths J 2012 Phys. Rev. E 85 1539
[28]	Liang Y J, Chen W 2013 Signal Processing 93 242
[29]	Mitaim S, Kosko B l998 Process of The IEEE 86 2152
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[32]	Wan P, Zhan Y J, Li X C, Wang Y H 2011 Acta Phys. Sin. 60 040502 (in Chinese) [万频, 詹宜巨, 李学聪, 王永华 2011 物理学报 60 040502]
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[34]	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 物理学报 56 30]
[35]	Leng Y G, Wang T Y, Qin X D, Li R X, Guo Y 2004 Acta Phys. Sin. 53 0717 (in Chinese) [冷永刚, 王太勇, 秦旭达, 李瑞欣, 郭焱 2004 物理学报 53 0717]
[36]	Yang D X, Hu Z, Yang Y M 2012 Acta Phys. Sin. 61 080501 (in Chinese) [杨定新, 胡政, 杨拥民 2012 物理学报 61 080501]
[37]	Lin M, Huang Y M 2006 Acta Phys. Sin. 55 3277 (in Chinese) [林敏, 黄咏梅 2006 物理学报 55 3277]
[38]	L Y, Wang C Y, Tian Y, Hou B 2010 China Academic Journal Electronic Publishing House 8 40 (in Chinese) [吕运, 王长悦, 田野, 侯彪 2010 机械与电子 8 40]

Cited By

[1]	Hu N Q 2012 Stochastic Resonance Weak Characteristic Signal Detection Theory and Methods (Beijing: National Defense Industry Press) p60 (in Chinese) [胡茑庆 2012 随机共振微弱特征信号检测理论与方法 (北京: 国防工业出版社) 第60页]
[2]	Basso M, Dahleh M, Mezic I, Salapaka M V 1999 Proceedings of the American Control Conference San Diego, California, June, 1999 p3774
[3]	McNamara B, Wiesenfield K, Roy R 1998 Phys. Rev. Lett. 60 2626
[4]	Wellens T, Buchleitner A 2001 Chem. Phys. 268 313
[5]	Wang L Y, Yin C S, Cai W S, Pan Z X 2001 Chem. J. Chin. U. 22 762 (in Chinese) [王利亚, 蔡文生, 印春生, 潘忠孝 2001 高等学校化学学报 22 762]
[6]	Cardo P, Timothy Inglis J, Verschueren S, Collins J J, Merfeld D M, Rosenblum S, Buckley S, Moss F 1996 Nature 383 769
[7]	Ditzinger T, Stadler M, Struber D, Kelso J A S 2000 Phys. Rev. E 62 2566
[8]	Anishchenko V S, Safonova M A, Chua L O 1993 Journal of Circuit, System and Computer 3 553
[9]	Anishchenko V S, Safonova M A, Chua L O 1992 International Journal of Bifurcation and Chaos 2 397
[10]	Xu B H, Duan F B, Bao R H, Li J L 2002 Chaos, Solitons and fractals 13 633
[11]	Xu B H, Li J L, Duan F B, Zheng J Y 2003 Chaos, Solitons and fractals 16 93
[12]	Jiang S Q, Hou M J, Jia C H, He J R, Gu T X 2009 Chin. Phys. B 18 2667
[13]	Li J L, Xu B H 2006 Chin. Phys. 15 2867
[14]	Li J L 2009 Chin. Phys. B 18 5196
[15]	Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese) [冷永刚 2009 物理学报 58 5196]
[16]	Qiu T S, Zhang X X, Li X B, Sun Y M 2004 Statistical Signal Processing-Non-Gaussian Signal Processing and its Applications (Beijing: Publishing House of Electronics Industry) p140 (in Chinese) [邱天爽, 张旭秀, 李小兵, 孙永梅 2004 统计信号处理–非高斯信号处理及其应用 (北京: 电子工业出版社) 第140页]
[17]	Dybiec B, Gudowska-Nowak E 2006 Acta Phys. Pol. B 37 1479
[18]	Srokowski T 2012 The European Physical Journal B 85 1
[19]	Zhang W Y, Wang Z L, Zhang W D 2009 Control Engineering of China 16 638 (in Chinese) [张文英, 王自力, 张卫东 2009 控制工程 16 638]
[20]	Zhang G L, L X L, Kang Y M 2012 Acta Phys. Sin. 61 040501 (in Chinese) [张广丽, 吕希路, 康艳梅 2012 物理学报 61 040501]
[21]	Zeng L Z, Bao R H, Xu B H 2007 J. Phys. A: Math. Theor. 40 7175
[22]	Zeng L Z, Xu B H 2010 Journal of Physics A: Statistical Mechanics and its Applications 22 5128
[23]	Li J L, Xu B H 2006 Phys. A 361 11
[24]	Jiao S B, He T 2013 Computer Engineering and Applications (in Chinese) [焦尚彬, 何童 2013 计算机工程与应用]
[25]	Leccardi M 2005 ENOC’O5(Fifth EUROMECH Nonlinear Dynamics Conference), Mini Symposium on Fractional Derivatives and Their Applications Eindhoven, The Netherland 2005
[26]	Nolan J P 1999 Mathematical and Computer Modelling 29 229
[27]	Tang Y, Zou W, Lu J Q, Kurths J 2012 Phys. Rev. E 85 1539
[28]	Liang Y J, Chen W 2013 Signal Processing 93 242
[29]	Mitaim S, Kosko B l998 Process of The IEEE 86 2152
[30]	Weron R 1996 Statist. Prob. Lett. 28 165
[31]	Gong D C, Qin G R, Hu G, Wen X D 1992 Sci. China A 8 828(in Chinese) [龚德纯, 秦光戎, 胡岗, 温孝东 1992 中国科学A辑 8 828]
[32]	Wan P, Zhan Y J, Li X C, Wang Y H 2011 Acta Phys. Sin. 60 040502 (in Chinese) [万频, 詹宜巨, 李学聪, 王永华 2011 物理学报 60 040502]
[33]	Leng Y G, Wang T Y 2003 Acta Phys. Sin. 52 2432 (in Chinese) [冷永刚, 王太勇 2003 物理学报 52 2432]
[34]	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 物理学报 56 30]
[35]	Leng Y G, Wang T Y, Qin X D, Li R X, Guo Y 2004 Acta Phys. Sin. 53 0717 (in Chinese) [冷永刚, 王太勇, 秦旭达, 李瑞欣, 郭焱 2004 物理学报 53 0717]
[36]	Yang D X, Hu Z, Yang Y M 2012 Acta Phys. Sin. 61 080501 (in Chinese) [杨定新, 胡政, 杨拥民 2012 物理学报 61 080501]
[37]	Lin M, Huang Y M 2006 Acta Phys. Sin. 55 3277 (in Chinese) [林敏, 黄咏梅 2006 物理学报 55 3277]
[38]	L Y, Wang C Y, Tian Y, Hou B 2010 China Academic Journal Electronic Publishing House 8 40 (in Chinese) [吕运, 王长悦, 田野, 侯彪 2010 机械与电子 8 40]

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Vol. 62, Issue 21 - 2013-11-05

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