Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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

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

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

Jiao Shang-Bin, Ren Chao, Huang Wei-Chao, Liang Yan-Ming
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • 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.
    • 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).
    [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]

  • [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]

  • [1] Jiao Shang-Bin, Sun Di, Liu Ding, Xie Guo, Wu Ya-Li, Zhang Qing. Vibrational resonance in a periodic potential system with stable noise. Acta Physica Sinica, 2017, 66(10): 100501. doi: 10.7498/aps.66.100501
    [2] Zhang Gang, Hu Tao, Zhang Tian-Qi. Characteristic analysis of power function type monostable stochastic resonance with Levy noise. Acta Physica Sinica, 2015, 64(22): 220502. doi: 10.7498/aps.64.220502
    [3] Zhang Guang-Li, Lü Xi-Lu, Kang Yan-Mei. Parameter-induced stochastic resonance in overdamped system with stable noise. Acta Physica Sinica, 2012, 61(4): 040501. doi: 10.7498/aps.61.040501
    [4] Jiao Shang-Bin, Ren Chao, Li Peng-Hua, Zhang Qing, Xie Guo. Stochastic resonance in an overdamped monostable system with multiplicative and additive α stable noise. Acta Physica Sinica, 2014, 63(7): 070501. doi: 10.7498/aps.63.070501
    [5] Jin Yan-Fei, Xu Wei, Li Wei, Xu Meng. Stochastic resonance for periodically modulated noise in a linear system. Acta Physica Sinica, 2005, 54(6): 2562-2567. doi: 10.7498/aps.54.2562
    [6] Zhang Li, Yuan Xiu-Hua, Wu Li. Stochastic resonance for pulse signal modulated by noise in a single-mode laser system. Acta Physica Sinica, 2012, 61(11): 110501. doi: 10.7498/aps.61.110501
    [7] Xu Wei, Li Wei, Jin Yan-Fei, Xu Meng. Stochastic resonance for bias-signal-modulated noise in a linear system. Acta Physica Sinica, 2005, 54(11): 5027-5033. doi: 10.7498/aps.54.5027
    [8] Zhou Bing-Chang, Xu Wei. Stochastic resonance in an asymmetric bistable system driven by mixed periodic force and noises. Acta Physica Sinica, 2007, 56(10): 5623-5628. doi: 10.7498/aps.56.5623
    [9] Ning Li-Juan, Xu Wei. Stochastic resonance under modulated noise in linear systems driven by dichotomous noise. Acta Physica Sinica, 2009, 58(5): 2889-2894. doi: 10.7498/aps.58.2889
    [10] Li Rong, Wen Xiao-Dong, Zhu Heng-Jiang. Extracting information signal under noise by stochastic resonance. Acta Physica Sinica, 2003, 52(10): 2404-2408. doi: 10.7498/aps.52.2404
    [11] Wang Tai-Yong, Leng Yong-Gang. Numerical research of twice sampling stochastic resonance for the detection of a weak signal submerged in a heavy Noise. Acta Physica Sinica, 2003, 52(10): 2432-2437. doi: 10.7498/aps.52.2432
    [12] Cao Li, Wang Jun, Han Li-Bo, Wu Da-Jin. Stochastic resonance in a single-mode laser driven by the direct signal-modulated correlated colored noise. Acta Physica Sinica, 2004, 53(7): 2127-2132. doi: 10.7498/aps.53.2127
    [13] Zhang Jing-Jing, Jin Yan-Fei. Mean first-passage time and stochastic resonance in an asymmetric bistable system driven by non-Gaussian noise. Acta Physica Sinica, 2011, 60(12): 120501. doi: 10.7498/aps.60.120501
    [14] Cheng Qing-Hua, Cao Li, Wu Da-Jin. Stochastic resonance in a single-mode laser driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts. Acta Physica Sinica, 2004, 53(8): 2556-2562. doi: 10.7498/aps.53.2556
    [15] Gao Shi-Long, Zhong Su-Chuan, Wei Kun, Ma Hong. Weak signal detection based on chaos and stochastic resonance. Acta Physica Sinica, 2012, 61(18): 180501. doi: 10.7498/aps.61.180501
    [16] Jiao Shang-Bin, Yang Rong, Zhang Qing, Xie Guo. Stochastic resonance of asymmetric bistable system with α stable noise. Acta Physica Sinica, 2015, 64(2): 020502. doi: 10.7498/aps.64.020502
    [17] Xiao Fang-Hong, Yan Gui-Rong, Han Yu-Hang. Numerical analysis of the signal modulation effect in bistable stochastic dynamical systems. Acta Physica Sinica, 2004, 53(2): 396-400. doi: 10.7498/aps.53.396
    [18] Lin Min, Huang Yong-Mei. Modulation and demodulation for detecting weak periodic signal of stochastic resonance. Acta Physica Sinica, 2006, 55(7): 3277-3282. doi: 10.7498/aps.55.3277
    [19] Leng Yong-Gang, Lai Zhi-Hui, Fan Sheng-Bo, Gao Yu-Ji. Large parameter stochastic resonance of two-dimensional Duffing oscillator and its application on weak signal detection. Acta Physica Sinica, 2012, 61(23): 230502. doi: 10.7498/aps.61.230502
    [20] Cao Li, Jin Guo-Xiang, Zhang Liang-Ying. Stochastic resonance in a single-mode laser with modulated noise and biased amplitude modulation. Acta Physica Sinica, 2007, 56(7): 3739-3743. doi: 10.7498/aps.56.3739
  • Citation:
Metrics
  • Abstract views:  924
  • PDF Downloads:  818
  • Cited By: 0
Publishing process
  • Received Date:  27 May 2013
  • Accepted Date:  28 July 2013
  • Published Online:  05 November 2013

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

  • 1. Faculty of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China
Fund Project:  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).

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.

Reference (38)

Catalog

    /

    返回文章
    返回