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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.
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Keywords:
- monostable system /
- pulse signal /
- noise
[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 物理学报 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 物理学报 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 物理学报 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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[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 物理学报 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 物理学报 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 物理学报 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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