噪声信号特征量分布函数相似特性的研究

摘要

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 1 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.%应用高速数据采集卡，记录悬浮颗粒计数光电传感器本底噪声信号序列值，研究噪声信号独立特征量，如信号幅度极值、上升沿幅值、下降沿幅值、极值时序问隔，以及特征量乘积值等统计分布规律．结果表明，上述独立特征量均能够与以自然数l为自变量的对数正态分布函数高度符合，噪声信号特征量统计分布呈现出高度相似特征．基于这种统计相似性，还可推出噪声信号不同特征量对应的统计自变量之间的幂函数变换关系．噪声信号特征量统计分布函数相似性可理解为噪声信号集合统计分形特性的一种表现．