单稳系统的脉冲响应研究

冷永刚; 赵跃

doi:10.7498/aps.64.210503

摘要

针对单稳系统检测脉冲信号的参数调节方法很难达到理想随机共振效果的难点, 本文提出了脉冲序列整体平移的方法. 该方法不采用系统参数调节, 而是通过偏移量的设置来实现并达到增强单稳随机共振的目的. 为了减小单稳脉冲响应波形的失真, 探讨了该方法减小脉冲响应失真的机理. 在噪声存在的情况下, 揭示了该平移方法调节噪声使噪声产生积极作用从而改善单稳随机共振的机理, 表明所提方法有利于含噪脉冲信号的检测.

关键词:

单稳系统 /
脉冲信号 /
噪声

The potential function of a mono-stable system is studied in this paper. The response of pulse series with different half-peak width via the mono-stable system is analysed. Our conclusion is that the larger the half-peak width of the input pulse series, the higher the height of the output pulse series . Distortion of the pulse response wave appears. This is the reason that the potential function of the mono-stable system is similar to the horizontal line around zero point.#br#In view of the difficulties of adjusting parameter of the mono-stable system to reach stochastic resonance, a method of moving pulse series is put forward. Adjusting the system parameter is not considered but the stochastic resonance of the pulse signal is realized by setting an offset in the method. To reduce the response pulse wave distortion, a mechanism for the proposed method to reduce the distortion is discussed in detail. When noise exists, the mechanism reveals that the moving pulse series method can adjust the distribution of the noise power spectrum and improve the mono-stable stochastic resonance. Therefore, the method proposed in this paper is helpful to detect pulse signal masked by noise.

Keywords:

作者及机构信息

冷永刚^1,2,
赵跃¹

1.
天津大学机械工程学院, 天津 300072;

2.
天津大学机构理论与装备设计教育部重点实验室, 天津 300072

通信作者: 赵跃, carrot2000@tju.edu.cn

基金项目: 国家自然科学基金(批准号: 51275336)和天津市应用基础与前沿技术研究计划(批准号: 15JCZDJC32200)资助的课题.

Authors and contacts

Leng Yong-Gang^1,2,
Zhao Yue¹

1.
School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;

2.
Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin 300072, China

Corresponding author: Zhao Yue, carrot2000@tju.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51275336), and the Tianjin Research Program of Application Foundation and Advanced Technology, China (Grant No. 15JCZDJC32200).

参考文献

[1]	Benzi R, Sutera A, VulPiani A 1981 J. Phys.A 14 L453
[2]	Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[3]	Dylov D V, Fleischer J W 2010 Nat. Photonics 4 323
[4]	Xu B H, Zeng L Z, Li J L 2007 J. Sound Vib. 303 255
[5]	He Q, Wang J 2012 Digit. Signal Process. 22 614
[6]	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 61 080501]
[7]	Li J, Chen X, Du Z, Fang Z, He Z 2013 Renew. Energ. 60 7
[8]	Wei Y G, Zeng C H, Wang H, Li K Z, Hu J H 2013 Chin. Phys.B 22 060503
[9]	Fan J, Zhao W L, Zhang M L, Tan R H, Wang W Q 2014 Acta Phys. Sin. 63 110506 (in Chinese) [范剑, 赵文礼, 张明路, 檀润华, 王万强 2014 63 110506]
[10]	Li J L, Zhou H 2012 Chin. Phys. B 21 110502
[11]	Lu K, Wang F Z, Zhang G L, Fu W H 2013 Chin. Phys. B 22 120202
[12]	Du L C, Mei D C 2011 PhysicaA 390 3262
[13]	Leng Y G, Lai Z H 2014 Acta Phys. Sin. 63 020502 (in Chinese) [冷永刚, 赖志慧 2014 63 020502]
[14]	Zhang Y, Wang T Y, Leng Y G, Deng H 2009 Chin. J. Mech. Eng. 22 542
[15]	Lopes M A, Lee K E, Goltsev A V, Mendes J F F 2014 Phys. Rev.E 90 052709
[16]	Duan F, Abbott D, Gao Q 2005 Fluct. Noise Lett. 5 L127
[17]	Hu N Q 2012 Stochastic Resonance Weak Characteristic Signal Detection Theory and Methods (Beijing: National Defend Industy Press) pp97-117 (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97–117页]
[18]	Tan J Y, Chen X F, He Z J 2010 Chin. J. Mech. Eng. 46 61 (in Chinese) [谭继勇, 陈雪峰, 何正嘉 2010 机械工程学报 46 61]
[19]	Li J, Pan X 2007 Mech. Syst. Signal Pr. 21 1223
[20]	Shi P, Leng Y G, Fan S B, Li X L 2012 J. Vib. and Shock 31 150 (in Chinese) [石鹏, 冷永刚, 范胜波, 李小龙 2012 振动与冲击 31 150]
[21]	Li J M, Chen X F, He Z J 2011 Chin. J. Mech. Eng. 47 58 (in Chinese) [李继猛, 陈雪峰, 何正嘉 2011 机械工程学报 47 58]
[22]	Yao M L, Xu W, Ning L J 2012 Nonlinear Dynam. 67 329
[23]	Fang X N, Li J, Xiang L, Ni Q 2011 J. Sichuan Univ Sci & Eng.(Nat. Sci. Ed.) 24 459 (in Chinese) [方秀宁, 李健, 向林, 倪强 2011 四川理工学院学报(自然科学版) 24 459]
[24]	Leng Y G, Wang T Y, Guo Y, Xu Y G, Fang S B 2007 Mech. Syst. Sign. Proces. 21 138

施引文献

[1]	Benzi R, Sutera A, VulPiani A 1981 J. Phys.A 14 L453
[2]	Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[3]	Dylov D V, Fleischer J W 2010 Nat. Photonics 4 323
[4]	Xu B H, Zeng L Z, Li J L 2007 J. Sound Vib. 303 255
[5]	He Q, Wang J 2012 Digit. Signal Process. 22 614
[6]	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 61 080501]
[7]	Li J, Chen X, Du Z, Fang Z, He Z 2013 Renew. Energ. 60 7
[8]	Wei Y G, Zeng C H, Wang H, Li K Z, Hu J H 2013 Chin. Phys.B 22 060503
[9]	Fan J, Zhao W L, Zhang M L, Tan R H, Wang W Q 2014 Acta Phys. Sin. 63 110506 (in Chinese) [范剑, 赵文礼, 张明路, 檀润华, 王万强 2014 63 110506]
[10]	Li J L, Zhou H 2012 Chin. Phys. B 21 110502
[11]	Lu K, Wang F Z, Zhang G L, Fu W H 2013 Chin. Phys. B 22 120202
[12]	Du L C, Mei D C 2011 PhysicaA 390 3262
[13]	Leng Y G, Lai Z H 2014 Acta Phys. Sin. 63 020502 (in Chinese) [冷永刚, 赖志慧 2014 63 020502]
[14]	Zhang Y, Wang T Y, Leng Y G, Deng H 2009 Chin. J. Mech. Eng. 22 542
[15]	Lopes M A, Lee K E, Goltsev A V, Mendes J F F 2014 Phys. Rev.E 90 052709
[16]	Duan F, Abbott D, Gao Q 2005 Fluct. Noise Lett. 5 L127
[17]	Hu N Q 2012 Stochastic Resonance Weak Characteristic Signal Detection Theory and Methods (Beijing: National Defend Industy Press) pp97-117 (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97–117页]
[18]	Tan J Y, Chen X F, He Z J 2010 Chin. J. Mech. Eng. 46 61 (in Chinese) [谭继勇, 陈雪峰, 何正嘉 2010 机械工程学报 46 61]
[19]	Li J, Pan X 2007 Mech. Syst. Signal Pr. 21 1223
[20]	Shi P, Leng Y G, Fan S B, Li X L 2012 J. Vib. and Shock 31 150 (in Chinese) [石鹏, 冷永刚, 范胜波, 李小龙 2012 振动与冲击 31 150]
[21]	Li J M, Chen X F, He Z J 2011 Chin. J. Mech. Eng. 47 58 (in Chinese) [李继猛, 陈雪峰, 何正嘉 2011 机械工程学报 47 58]
[22]	Yao M L, Xu W, Ning L J 2012 Nonlinear Dynam. 67 329
[23]	Fang X N, Li J, Xiang L, Ni Q 2011 J. Sichuan Univ Sci & Eng.(Nat. Sci. Ed.) 24 459 (in Chinese) [方秀宁, 李健, 向林, 倪强 2011 四川理工学院学报(自然科学版) 24 459]
[24]	Leng Y G, Wang T Y, Guo Y, Xu Y G, Fang S B 2007 Mech. Syst. Sign. Proces. 21 138

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