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In order to detect the weak characteristic signal submerged in heavy noise with extremely low signal-to-noise ratio, a method based on singular value decomposition (SVD) and stochastic resonance is proposed. The sampling signal is first preprocessed and reconstructed by means of SVD, and then we search for a component signal. In the component signal, the components of the characteristic signal match noise strength. Then the component signal is processed with the non-linear bistable system to obtain stochastic resonance response, thus the goal of detecting the weak characteristic signal submerged in a heavy background noise is realized.
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Keywords:
- singular value decomposition /
- stochastic resonance /
- noise
[1] Benzi R, Sutera A, Vulpiana A 1981 Physica A 14 453
[2] Benzi R, Parisi G, Sutera A, Vulpiana A 1982 Tellus 34 10
[3] Levin J E, Miller J P 1996 Nature 380 165
[4] Anishchenko V S, Safonova M A, Vadivasova T E, Postnov D E 1992 Int. J. Bifuc. Chaos. 2 633
[5] Kaufman I K, Luchinsky D G, McClintock P V E, Soskin S M, Stein N D 1998 Phys. Rev. 57 78
[6] Qin G R, Gong D C, Hu G, Wen X D 1992 Acta Phys. Sin. 41 360 (in Chinese) [秦光荣, 龚徳纯, 胡岗, 温孝东 1992 41 360]
[7] Lu Z H, Lin J H, Hu G 1993 Acta Phys. Sin. 42 1556 (in Chinese) [卢志恒, 林建恒, 胡岗 1993 42 1556]
[8] Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese) [冷永刚 2009 58 5196]
[9] Leng Y G, Leng Y S, Wang T Y, Guo Y 2006 J. Sound Vib. 292 788
[10] Leng Y G 2011 Acta Phys. Sin. 60 020503 (in Chinese) [冷永刚 2011 60 020503]
[11] Gong D C, Hu G, Wen X D, Yang C Y, Qin G R, Li R, Ding D F 1992 Phys. Rev. A 46 3243
[12] Zhao X Z, Ye B Y, Chen T J 2010 J. Mech. Eng. 46 100 (in Chinese) [赵学智, 叶邦彦, 陈统坚 2010 机械工程学报 46 100]
[13] Bai Y, Liu X Y, He D W, Ru H Y, Qi L, Ji M B, Zhao W, Xie F X, Nie R J, Ma P, Dai Y D, Wang F R 2006 Acta Phys. Sin. 55 2651 (in Chinese) [白云, 刘新元, 何定武, 汝鸿羽, 齐亮, 季敏标, 赵巍, 谢飞翔, 聂瑞娟, 马平, 戴远东, 王福仁 2006 55 2651]
[14] Duan X Y, Wang Y S, Su Y S 2009 J. Vib. Shock. 28 30 (in Chinese) [段向阳, 王永生, 苏永生 2009 振动与冲击 28 30]
[15] Zhao X Z, Chen T J, Ye B Y 2007 J. Mech. Eng. 43 169 (in Chinese) [赵学智, 陈统坚, 叶邦彦 2007 机械工程学报 43 169]
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[1] Benzi R, Sutera A, Vulpiana A 1981 Physica A 14 453
[2] Benzi R, Parisi G, Sutera A, Vulpiana A 1982 Tellus 34 10
[3] Levin J E, Miller J P 1996 Nature 380 165
[4] Anishchenko V S, Safonova M A, Vadivasova T E, Postnov D E 1992 Int. J. Bifuc. Chaos. 2 633
[5] Kaufman I K, Luchinsky D G, McClintock P V E, Soskin S M, Stein N D 1998 Phys. Rev. 57 78
[6] Qin G R, Gong D C, Hu G, Wen X D 1992 Acta Phys. Sin. 41 360 (in Chinese) [秦光荣, 龚徳纯, 胡岗, 温孝东 1992 41 360]
[7] Lu Z H, Lin J H, Hu G 1993 Acta Phys. Sin. 42 1556 (in Chinese) [卢志恒, 林建恒, 胡岗 1993 42 1556]
[8] Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese) [冷永刚 2009 58 5196]
[9] Leng Y G, Leng Y S, Wang T Y, Guo Y 2006 J. Sound Vib. 292 788
[10] Leng Y G 2011 Acta Phys. Sin. 60 020503 (in Chinese) [冷永刚 2011 60 020503]
[11] Gong D C, Hu G, Wen X D, Yang C Y, Qin G R, Li R, Ding D F 1992 Phys. Rev. A 46 3243
[12] Zhao X Z, Ye B Y, Chen T J 2010 J. Mech. Eng. 46 100 (in Chinese) [赵学智, 叶邦彦, 陈统坚 2010 机械工程学报 46 100]
[13] Bai Y, Liu X Y, He D W, Ru H Y, Qi L, Ji M B, Zhao W, Xie F X, Nie R J, Ma P, Dai Y D, Wang F R 2006 Acta Phys. Sin. 55 2651 (in Chinese) [白云, 刘新元, 何定武, 汝鸿羽, 齐亮, 季敏标, 赵巍, 谢飞翔, 聂瑞娟, 马平, 戴远东, 王福仁 2006 55 2651]
[14] Duan X Y, Wang Y S, Su Y S 2009 J. Vib. Shock. 28 30 (in Chinese) [段向阳, 王永生, 苏永生 2009 振动与冲击 28 30]
[15] Zhao X Z, Chen T J, Ye B Y 2007 J. Mech. Eng. 43 169 (in Chinese) [赵学智, 陈统坚, 叶邦彦 2007 机械工程学报 43 169]
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