中国物理B ›› 2013, Vol. 22 ›› Issue (6): 60505-060505.doi: 10.1088/1674-1056/22/6/060505

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Analysis of random laser scattering pulse signals with lognormal distribution

闫振纲, 卞保民, 王绶玙, 林颖璐, 王春勇, 李振华   

  1. Department of Information Physics and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
  • 收稿日期:2013-01-10 修回日期:2013-03-13 出版日期:2013-05-01 发布日期:2013-05-01

Analysis of random laser scattering pulse signals with lognormal distribution

Yan Zhen-Gang (闫振纲), Bian Bao-Min (卞保民), Wang Shou-Yu (王绶玙), Lin Ying-Lu (林颖璐), Wang Chun-Yong (王春勇), Li Zhen-Hua (李振华)   

  1. Department of Information Physics and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
  • Received:2013-01-10 Revised:2013-03-13 Online:2013-05-01 Published:2013-05-01
  • Contact: Wang Shou-Yu, Bian Bao-Min E-mail:yzg.njust@gmail.com; bianbaomin 56@yahoo.com.cn

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摘要： The statistical distribution of natural phenomena is of great significance in studying the laws of nature. In order to study the statistical characteristics of a random pulse signal, a random process model is proposed theoretically for better studying of the random law of measured results. Moreover, a simple random pulse signal generation and testing system is designed for studying the counting distributions of three typical objects including particles suspended in the air, standard particles, and background noise. Both normal and lognormal distribution fittings are used for analyzing the experimental results and testified by chi-square distribution fit test and correlation coefficient for comparison. In addition, the statistical laws of three typical objects and the relations between them are discussed in detail. The relation is also the non-integral dimension fractal relation of statistical distributions of different random laser scattering pulse signal groups.

关键词: random pulse signal, statistical self-similarity, lognormal distribution, laser scattering

Abstract: The statistical distribution of natural phenomena is of great significance in studying the laws of nature. In order to study the statistical characteristics of a random pulse signal, a random process model is proposed theoretically for better studying of the random law of measured results. Moreover, a simple random pulse signal generation and testing system is designed for studying the counting distributions of three typical objects including particles suspended in the air, standard particles, and background noise. Both normal and lognormal distribution fittings are used for analyzing the experimental results and testified by chi-square distribution fit test and correlation coefficient for comparison. In addition, the statistical laws of three typical objects and the relations between them are discussed in detail. The relation is also the non-integral dimension fractal relation of statistical distributions of different random laser scattering pulse signal groups.

Key words: random pulse signal, statistical self-similarity, lognormal distribution, laser scattering

中图分类号:  (Noise)

  • 05.40.Ca
02.50.-r (Probability theory, stochastic processes, and statistics) 05.45.Df (Fractals)