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For an over-damped linear system subjected to correlated additive and multiplicative noise and a periodic signal, when the cross-correlation intensity between noises is a time-periodic function, the analytical expression of the output signal-to-noise ratio (SNR) is derived by means of the stochastic averaging method. It is found that this system has richer dynamic behaviors than the linear systems in which cross-correlation intensity between noises is constant, that the evolution of the output SNR with the cross-correlation modulation frequency presents periodic oscillation, and that the parameters of cross-correlation intensity between noises diversify the stochastic resonance phenomena.The time-periodic modulation of cross-correlation intensity between noises is conductive to enhancing the sensitivity to weak periodic signal detection and implementing the frequency estimation of weak periodic signal.
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Keywords:
- stochastic resonance /
- periodic oscillation /
- cross-correlation intensity between noises /
- signal-to-noise ratio
[1] Benzi R, Sutera A, Vulpiani A 1981 J. phys. A: Math. Gen. 14 L453
[2] Gitterman M 2005 Physica A 352 309
[3] Fulinski A, Telejko T 1991 Phys. Lett. A 152 11
[4] Jia Y, Li J R 1997 Phys. Rev. Lett. 78 994
[5] Denisov S I, Vitrenko A N, Horsthemke W 2003 Phys. Rev. E 68 046132
[6] Ai B Q, Wang X J, Liu G T, Liu L G 2003 Phys. Rev. E 67 022903
[7] Mei D C, Xie G Z, Cao L, Wu D J 1999 Phys. Rev. E 59 3880
[8] Jin Y F, Xu W 2005 Chaos, Solitons Fractals 23 275
[9] Wang B, Wu X Q, Shao J H 2009 Acta Phys. Sin. 58 1391 (in Chinese) [王兵, 吴秀清, 邵继红 2009 58 1391]
[10] Wang B, Yan S P, Wu X Q 2009 Acta Phys. Sin. 58 5191 (in Chinese) [王兵, 严少平, 吴秀清 2009 58 5191]
[11] Yang J H, Liu X B 2010 Acta Phys. Sin. 59 3727 (in Chinese) [杨建华, 刘先斌 2010 59 3727]
[12] Yang L J, Dai Z C 2012 Acta Phys. Sin. 61 100509 (in Chinese) [杨林静, 戴祖诚 2012 61 100509]
[13] Ning L J, Xu W, Yao M L 2008 Chin. Phys. B 17 486
[14] Guo F, Zhou Y R, Jiang S Q, Gu T X 2006 Chin. Phys. 15 947
[15] Du L C, Mei D C 2009 Chin. Phys. B 18 946
[16] Xu W, Jin Y F, Xu M, Li W 2005 Acta Phys. Sin. 54 5027 (in Chinese) [徐伟, 靳艳飞, 徐猛, 李伟 2005 54 5027]
[17] Yang M, Li X L, Wu D J 2012 Acta Phys. Sin. 61 160502 (in Chinese) [杨明, 李香莲, 吴大进 2012 61 160502]
[18] Zhou Y R 2011 Chin. Phys. B 20 010501
[19] Zhang L, Liu L, Cao L 2010 Acta Phys. Sin. 59 1494 (in Chinese) [张莉, 刘立, 曹力 2010 59 1494]
[20] Lu Z X, Cao L 2011 Acta Phys. Sin. 60 110501 (in Chinese) [陆志新, 曹力 2011 60 110501]
[21] Zhang L, Zhong S C, Peng H, Luo M K 2012 Acta Phys. Sin. 61 130503 (in Chinese) [张路, 钟苏川, 彭皓, 罗懋康 2012 61 130503]
[22] Zhang X Y, Xu W, Zhou B C 2011 Acta Phys. Sin. 60 060514 (in Chinese) [张晓燕, 徐伟, 周丙常 2011 60 060514]
[23] Chen D Y, Wang Z L 2008 Acta Phys. Sin. 57 3333 (in Chinese) [陈德彝, 王忠龙 2008 57 3333]
[24] Chen D Y, Wang Z L 2009 Acta Phys. Sin. 58 2907 (in Chinese) [陈德彝, 王忠龙 2009 58 2907]
[25] Chen D Y, Wang Z L 2009 Acta Phys. Sin. 58 1403 (in Chinese) [陈德彝, 王忠龙 2009 58 1403]
[26] Chen D Y, Zhang L 2009 Chin. Phys. B 18 1755
[27] Tessone C J, Wio H S 1998 Mod. Phys. Lett. B 12 1195
[28] Tessone C J, Wio H S, Hänggi P 2000 Phys. Rev. E 62 4623
[29] Shapiro V E, Loginov V M 1978 Physica A 91 563
[30] Fulinski A 1995 Acta Phys. Pol. B 26 1131
[31] Gardiner C W 1983 Handbook of Stochastic Processes (Berlin: Springer) p86
[32] Kubo R, Toda M, Hashitsume N 1986 Nonequilibrium stastical mechanics Part 2 ( Berlin: Springer)
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[1] Benzi R, Sutera A, Vulpiani A 1981 J. phys. A: Math. Gen. 14 L453
[2] Gitterman M 2005 Physica A 352 309
[3] Fulinski A, Telejko T 1991 Phys. Lett. A 152 11
[4] Jia Y, Li J R 1997 Phys. Rev. Lett. 78 994
[5] Denisov S I, Vitrenko A N, Horsthemke W 2003 Phys. Rev. E 68 046132
[6] Ai B Q, Wang X J, Liu G T, Liu L G 2003 Phys. Rev. E 67 022903
[7] Mei D C, Xie G Z, Cao L, Wu D J 1999 Phys. Rev. E 59 3880
[8] Jin Y F, Xu W 2005 Chaos, Solitons Fractals 23 275
[9] Wang B, Wu X Q, Shao J H 2009 Acta Phys. Sin. 58 1391 (in Chinese) [王兵, 吴秀清, 邵继红 2009 58 1391]
[10] Wang B, Yan S P, Wu X Q 2009 Acta Phys. Sin. 58 5191 (in Chinese) [王兵, 严少平, 吴秀清 2009 58 5191]
[11] Yang J H, Liu X B 2010 Acta Phys. Sin. 59 3727 (in Chinese) [杨建华, 刘先斌 2010 59 3727]
[12] Yang L J, Dai Z C 2012 Acta Phys. Sin. 61 100509 (in Chinese) [杨林静, 戴祖诚 2012 61 100509]
[13] Ning L J, Xu W, Yao M L 2008 Chin. Phys. B 17 486
[14] Guo F, Zhou Y R, Jiang S Q, Gu T X 2006 Chin. Phys. 15 947
[15] Du L C, Mei D C 2009 Chin. Phys. B 18 946
[16] Xu W, Jin Y F, Xu M, Li W 2005 Acta Phys. Sin. 54 5027 (in Chinese) [徐伟, 靳艳飞, 徐猛, 李伟 2005 54 5027]
[17] Yang M, Li X L, Wu D J 2012 Acta Phys. Sin. 61 160502 (in Chinese) [杨明, 李香莲, 吴大进 2012 61 160502]
[18] Zhou Y R 2011 Chin. Phys. B 20 010501
[19] Zhang L, Liu L, Cao L 2010 Acta Phys. Sin. 59 1494 (in Chinese) [张莉, 刘立, 曹力 2010 59 1494]
[20] Lu Z X, Cao L 2011 Acta Phys. Sin. 60 110501 (in Chinese) [陆志新, 曹力 2011 60 110501]
[21] Zhang L, Zhong S C, Peng H, Luo M K 2012 Acta Phys. Sin. 61 130503 (in Chinese) [张路, 钟苏川, 彭皓, 罗懋康 2012 61 130503]
[22] Zhang X Y, Xu W, Zhou B C 2011 Acta Phys. Sin. 60 060514 (in Chinese) [张晓燕, 徐伟, 周丙常 2011 60 060514]
[23] Chen D Y, Wang Z L 2008 Acta Phys. Sin. 57 3333 (in Chinese) [陈德彝, 王忠龙 2008 57 3333]
[24] Chen D Y, Wang Z L 2009 Acta Phys. Sin. 58 2907 (in Chinese) [陈德彝, 王忠龙 2009 58 2907]
[25] Chen D Y, Wang Z L 2009 Acta Phys. Sin. 58 1403 (in Chinese) [陈德彝, 王忠龙 2009 58 1403]
[26] Chen D Y, Zhang L 2009 Chin. Phys. B 18 1755
[27] Tessone C J, Wio H S 1998 Mod. Phys. Lett. B 12 1195
[28] Tessone C J, Wio H S, Hänggi P 2000 Phys. Rev. E 62 4623
[29] Shapiro V E, Loginov V M 1978 Physica A 91 563
[30] Fulinski A 1995 Acta Phys. Pol. B 26 1131
[31] Gardiner C W 1983 Handbook of Stochastic Processes (Berlin: Springer) p86
[32] Kubo R, Toda M, Hashitsume N 1986 Nonequilibrium stastical mechanics Part 2 ( Berlin: Springer)
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