School of Information and Technology, Jinling Institute of Technology, Nanjing 211169, China

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Abstract—In this paper, on the basis of giving a reference amplitude value, the two-parameter analyzing model of the random signal is established by introducing two basic conceptions---the amplitude and the width. Based on which, the statistical distribution law of the random signal group’s characteristic parameters is studied. The experimental results show that the amplitude and the width counting statistical distributions of the random pulse signal group and subsets are obviously asymmetric. Besides, the distribution functions of the whole signal group and its characteristic subsets match well with the lognormal distribution while the natural number as the independent variable. That is to say, the statistical self-similarity character of the random signals’ internal structure is definitely shown by applying the two-parameter analyzing model to deal with them.

Index Terms—random signal; statistical self-similarity; two-parameter analyzing model; lognormal distribution

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Cite: Juan Yang, " The Two-parameter Analyzing Model and Statistical Distribution Law of the Random Signal in Optical Sensor," Journal of Computers vol. 8, no. 1, pp. 194-199, 2013.