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本文讨论概率仪方案论证时提出的几个问题:①随机信号经过对数放大器后的概率特性,②对数放大器的精度问题,③概率仪分层引起的误差。文中分别推导了对数正态分布噪声以及正态分布噪声经过对数变换后的概率特性,并用正态噪声源通过对数放大器进行实验验证。从验证所得误差大小,可用来衡量对数放大器的精度。文中还讨论了概率仪分层对测量概率密度引起的固有误差和统计误差,得出了一般情况下,分层厚度以采用0.16σ～0.2σ为宜。所得结果可提供方案论证时根据给定误差来设计分层厚度作为参考。
This article discusses several issues raised in the probabilistic program demonstration: (1) the probability of a random signal passing through a logarithmic amplifier, (2) the problem of the logarithmic amplifier’s accuracy, and (3) the error caused by the layering of a probabilistic instrument. In this paper, we derive the log-normal distribution noise and the probability distribution of normal distribution noise after logarithmic transformation, respectively, and experimentally verify the logarithmic amplifier with normal noise source. The error from the verification of the size, can be used to measure the accuracy of logarithmic amplifier. The paper also discusses the inherent errors and statistical errors caused by probability density stratification to measure the probability density. It is concluded that the stratification thickness should be 0.16σ ~ 0.2σ in general. The resulting results provide a theoretical basis for designing the layered thickness based on a given error.