光电探测器随机噪声特征量统计分布函数  

The distribution functions of characteristic quantities for random noise signal of photodetector

作　　者：闫振纲[1] 林颖璐[1] 杨娟[1] 李振华[1] 卞保民[1] 

机构地区：[1]南京理工大学信息物理与工程系,南京210094

出　　处：《物理学报》2012年第20期88-96,共9页Acta Physica Sinica

摘　　要：基于产生光电探测器噪声信号{V_i}的随机过程,分析了随机测量中稳定不变与随机涨落两部分的不同性质,建立了噪声信号随机性数学模型,分析得出在随机性统计研究中对统计分布函数的非线性约束关系.实验研究了同一随机过程中不同性质特征量随机涨落的统计计数规律,如随机噪声信号幅度值、极值幅度、极值间隔,相邻幅度差、乘积复合特征量、商复合特征量等随机特征量涨落统计分布规律均满足对数正态分布.从理论和实验上得出对数正态分布在描述随机过程中随机涨落部分性质的重要作用.Based on the random process of the photodetector noise signals {Vi}, the different characteristics of the two parts of the random measurement--stability constant part and random fluctuation part are analyzed. A new mathematical model of the random noise signal is established. The theoretical analysis shows that the statistical distributions must obey the relationship of nonlinear transform. The distribution laws of the different characteristic quantities in the same random process are studied experimentally, such as, the amplitude of extreme, the amplitudes of the rising edge and falling edge, the interval between extreme points, the difference between adjacent amplitudes, the product value of the quantities and the quotient value of the quantities. And the statistical distribution of these characteristic quantities matches well with the form of the lognormal distribution. From the theoretical and experimental results we can conclude that the lognormal distribution plays an important role in describing the random fluctuation part characteristic of random process.

关 键 词：噪声信号 随机涨落 统计分布函数 

分 类 号：TN36[电子电信—物理电子学] O211.6[理学—概率论与数理统计]