基于速度空间内泊松过程的PIND采样值统计规律研究

Research on Statistical Law of PIND Sampling Value Based on Poisson Process in Velocity Space

摘要:

对粒子碰撞噪声检测(PIND)试验中的颗粒碰撞电压信号采样后,研究了采样数据所对应的参数在样本量增加后的变化趋势,结果表明20mV以上采样值的平均值趋稳,表现出某种统计规律。考虑颗粒碰撞过程的随机性和速度衰减趋势后,提出了将速度变化过程视为速度空间内的泊松过程的假设,并由此推测20mV以上采样值符合指数分布,对于多种颗粒类型、颗粒位置及试验频率等因素的组合,由该推测得到的指数分布概率密度与采样数据对应的概率密度均相符,表明假设及其推测成立,并探讨了指数分布的λ与各因素的关系。得到的统计模型及所用方法对颗粒碰撞过程、多余物特征等方面的研究具有启发意义。

Abstract:

After sampling the particle collision voltage signal in particle impact noise detection (PIND) test, the change trend of the parameters corresponding to the sampled data after the sample size increased was studied. It shows that the average value of ＞20mV sampling values tends to be stable, reflecting a certain statistical law. Considering the randomness of the particle collision process and the velocity attenuation trend, the hypothesis that the velocity change process can be regarded as a Poisson process in the velocity space was proposed, and the conjecture that the sampling value ＞20mV conforms to the exponential distribution was reached. For the combination of multiple particle types, particle positions and test frequencies, the probability density of exponential distribution obtained from this conjecture is consistent with the probability density obtained from sampled data, indicating that the hypothesis and its conjecture are valid, and the relationship between λ of exponential distribution and various factors is discussed. The obtained statistical model and the method used are instructive for the study of particle collision process and the characteristics of remainder.