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The output power spectrum and signal-to-noise ratio (SNR) of the first order linear system driven by sinusoidal and white noise signal are analyzed. The result shows that the linear system under additive noise does not perform traditional stochastic resonance (SR), but it reveals the parameter-adjusted SR in a broad sense, which means that a resonance peak appears in the curve of SNR versus system parameter. The output spectrum properties under different sampling frequencies are analyzed for a signal with an arbitrary frequency, leading to a conclusion that increasing sampling frequency properly can be beneficial to the detection of the character signal.
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Keywords:
- linear system /
- stochastic resonance /
- weak signal /
- tuning of system parameters
[1] Benzi R, Sutera A, Vulpiani A 1981 J. Phys. A 14 L453
[2] Hu G 1994 Stochastic Forces and Nonlinear System (Shanghai: Shanghai Science & Technology Education Press) (in Chinese) [胡岗 1994 随机力与非线性系统(上海:上海科技教育出版社)]
[3] Dykman M I, Luchinsky D G, McClintock P V E, Stein N D, Stocks N G 1992 Phys. Rev. A 46 R1713
[4] 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]
[5] Jin Y F, Hu H Y 2009 Acta Phys. Sin. 58 2895 (in Chinese) [靳艳飞, 胡海岩 2009 物理学报 58 2895]
[6] Berdichevsky V, Gitterman M 1996 Europhys. Lett. 36 161
[7] Gitterman M 2003 Phys. Rev. E 67 057103
[8] Zhou Z R, He Z Y 2011 Journal of Vibration And Shock. 30 171 (in Chinese) [周玉荣, 何正友 2011 振动与冲击 30 171]
[9] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[10] McNamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854
[11] Zhou T, Moss F 1990 Phys. Rev. A 41 4255
[12] Mitaim S, Kosko B 1998 Proceedings of the IEEE 86 2152
[13] 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]
[14] Cao L, Wu D J 2007 Physica A 376 191
[15] Lu Z X, Cao L 2011 Acta Phys. Sin. 60 110501 (in Chinese) [陆志新, 曹力 2011 物理学报 60 110501]
[16] Gingl Z, Vajtai R, Kiss L B 2000 Chaos, Solitons & Fractals 11 1929
[17] Leng Y G, Leng Y S, Guo Y 2006 Journal of Sound and Vibration 292 788
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[1] Benzi R, Sutera A, Vulpiani A 1981 J. Phys. A 14 L453
[2] Hu G 1994 Stochastic Forces and Nonlinear System (Shanghai: Shanghai Science & Technology Education Press) (in Chinese) [胡岗 1994 随机力与非线性系统(上海:上海科技教育出版社)]
[3] Dykman M I, Luchinsky D G, McClintock P V E, Stein N D, Stocks N G 1992 Phys. Rev. A 46 R1713
[4] 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]
[5] Jin Y F, Hu H Y 2009 Acta Phys. Sin. 58 2895 (in Chinese) [靳艳飞, 胡海岩 2009 物理学报 58 2895]
[6] Berdichevsky V, Gitterman M 1996 Europhys. Lett. 36 161
[7] Gitterman M 2003 Phys. Rev. E 67 057103
[8] Zhou Z R, He Z Y 2011 Journal of Vibration And Shock. 30 171 (in Chinese) [周玉荣, 何正友 2011 振动与冲击 30 171]
[9] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[10] McNamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854
[11] Zhou T, Moss F 1990 Phys. Rev. A 41 4255
[12] Mitaim S, Kosko B 1998 Proceedings of the IEEE 86 2152
[13] 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]
[14] Cao L, Wu D J 2007 Physica A 376 191
[15] Lu Z X, Cao L 2011 Acta Phys. Sin. 60 110501 (in Chinese) [陆志新, 曹力 2011 物理学报 60 110501]
[16] Gingl Z, Vajtai R, Kiss L B 2000 Chaos, Solitons & Fractals 11 1929
[17] Leng Y G, Leng Y S, Guo Y 2006 Journal of Sound and Vibration 292 788
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