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For studying the statistical properties of characteristic quantities in noise signal, such as the amplitude of extreme, the amplituds of the rising edge and the falling edge, the interval between extreme points and the product value of the quantities,the background noise signal sequence values of photoelectric sensor in suspended particle counter are recorded by using the high-speed data acquisition card. The results show that the statistical distribution of these characteristic quantities match well with the form of the log-normal distribution, with natural number l used as the independent variable. The statistical distributions of characteristic quantities show a high degree of similar characteristics. Based on this statistical similarity the transform relationship between the independent variables corresponding to different characteristic quantities by power function can be derived. The similarity between statistical distribution functions of characteristic quantities can be understood as a kind of performance of statistical fractal characteristics for noise signal collections.
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Keywords:
- fractal /
- characteristic quantity in noise signal /
- statistical similarity /
- log-normal distribution
[1] Li Y H, Chen C X, Liu Y Z, Jiang C, Zou Z Y, Ou Y, Li Z A 2008 Chin. Phys. Lett. 25 4093
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[4] Golestani A, Jahed-Motlagh M R, Ahmadian K, Omidvarnia A H, Mozayani N 2009 Am. Ins. Phys. 19 013137
[5] Zhao J, Lei L, Pu X Q 2008 Fractal Theory and Its Application in Signal Processing (Beijing: Tsinghua University Press) p7 (in Chinese) [赵健, 雷蕾, 蒲小勤 2008 分形理论及其在信号处理中的应用 (北京:清华大学出版社) 第7页]
[6] Herrmann F J, Stark C 1999 SEG Tech. Prog. Expand. Abstracts 18 1837
[7] Costa M, Goldberger A L, Peng C K 2002 Phys. Rev. Lett. 89 068102
[8] Torío P, Sánchez M G 2005 IEEE Trans. Vehicular Technol. 47 559
[9] Torío P, Sánchez M G 2007 IEEE Trans. Vehicular Technol. 56 2844
[10] Yang J, Bian B M, Peng G, Li Z H 2011 Acta Phys. Sin. 60 010508 (in Chinese) [杨娟, 卞保民, 彭刚, 李振华 2011 60 010508]
[11] Shu X M, Fang J, Shen S F, Liu Y J, Yuan H Y, Fan W D 2006 Acta Phys. Sin. 55 4466 (in Chinese) [疏学明, 方俊, 申世飞, 刘勇进, 袁宏永, 范维澄 2006 55 4466]
[12] Xu M, Alfano R R 2005 Opt. Lett. 30 3051
[13] Chamot S, Migacheva E, Seydoux O, Marquet P, Depeursinge C 2010 Opt. Soc. Am. 18 23664
[14] Yang J, Bian B M, Peng G, Yan Z G, Li Z H 2010 Acta Phys. Sin. 59 7713 (in Chinese) [杨娟, 卞保民, 彭刚, 闫振纲, 李振华 2010 59 7713]
[15] Yang J, Bian B M, Yan Z G, Wang C Y, Li Z H 2011 Acta Phys. Sin. 60 100506 (in Chinese) [杨娟, 卞保民, 闫振纲, 王春勇, 李振华 2011 60 100506]
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[1] Li Y H, Chen C X, Liu Y Z, Jiang C, Zou Z Y, Ou Y, Li Z A 2008 Chin. Phys. Lett. 25 4093
[2] Chen C E, Du L, He L, Hu J, Huang X J, Wei T 2007 Acta Phys. Sin. 56 6674 (in Chinese) [陈春霞, 杜磊, 何亮, 胡瑾, 黄小君, 卫涛 2007 56 6674]
[3] Yang S, Li Z S, Wang X L 2002 Acoust. Soc. Am. 112 172
[4] Golestani A, Jahed-Motlagh M R, Ahmadian K, Omidvarnia A H, Mozayani N 2009 Am. Ins. Phys. 19 013137
[5] Zhao J, Lei L, Pu X Q 2008 Fractal Theory and Its Application in Signal Processing (Beijing: Tsinghua University Press) p7 (in Chinese) [赵健, 雷蕾, 蒲小勤 2008 分形理论及其在信号处理中的应用 (北京:清华大学出版社) 第7页]
[6] Herrmann F J, Stark C 1999 SEG Tech. Prog. Expand. Abstracts 18 1837
[7] Costa M, Goldberger A L, Peng C K 2002 Phys. Rev. Lett. 89 068102
[8] Torío P, Sánchez M G 2005 IEEE Trans. Vehicular Technol. 47 559
[9] Torío P, Sánchez M G 2007 IEEE Trans. Vehicular Technol. 56 2844
[10] Yang J, Bian B M, Peng G, Li Z H 2011 Acta Phys. Sin. 60 010508 (in Chinese) [杨娟, 卞保民, 彭刚, 李振华 2011 60 010508]
[11] Shu X M, Fang J, Shen S F, Liu Y J, Yuan H Y, Fan W D 2006 Acta Phys. Sin. 55 4466 (in Chinese) [疏学明, 方俊, 申世飞, 刘勇进, 袁宏永, 范维澄 2006 55 4466]
[12] Xu M, Alfano R R 2005 Opt. Lett. 30 3051
[13] Chamot S, Migacheva E, Seydoux O, Marquet P, Depeursinge C 2010 Opt. Soc. Am. 18 23664
[14] Yang J, Bian B M, Peng G, Yan Z G, Li Z H 2010 Acta Phys. Sin. 59 7713 (in Chinese) [杨娟, 卞保民, 彭刚, 闫振纲, 李振华 2010 59 7713]
[15] Yang J, Bian B M, Yan Z G, Wang C Y, Li Z H 2011 Acta Phys. Sin. 60 100506 (in Chinese) [杨娟, 卞保民, 闫振纲, 王春勇, 李振华 2011 60 100506]
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