基于零阶统计量的Alpha稳定分布参数估计方法  

Alpha Stable Distribution Parameter Estimation Based on Zero-Order Statistics

作　　者：陈坚[1] 陈红[1] 蔡晓霞[1] 翁鹏飞[1] 

机构地区：[1]电子工程学院,合肥230037

出　　处：《电子信息对抗技术》2017年第4期26-31,共6页Electronic Information Warfare Technology

基　　金：国家自然科学基金(61571446);国家自然科学基金(61272333);安徽省自然科学基金(KY13C152)

摘　　要：随着无线电技术的迅速发展,实际应用中遇到了很多非高斯信号或者尖脉冲噪声信号。此类过程具有显著的脉冲特性,其统计特性严重偏离高斯分布,Alpha稳定分布为这类过程提供了非常有用的理论工具。重点研究了Alpha稳定分布概率密度函数的计算以及参数估计方法。首先,介绍了Alpha稳定分布的基本理论,通过MATLAB仿真分析了四个参数对其分布的影响。然后,基于无穷级数逼近的方法实现了Alpha稳定分布概率密度函数的计算。最后,提出了对数矩和几何功率的概念,基于零阶统计量(ZOS)实现了Alpha稳定分布的参数估计,此方法具有更好的韧性和更高的精度。With the rapid development of wireless technology, non-gaussian signal and spiky pulse noise signal are found in practical applications. Such processes have significant pulse char- acteristics, and their statistical properties deviate significantly from the Gaussian distribution. The Alpha stable distribution provides a very useful theoretical tool for this type of process. In this paper, the calculation is focued on the probability density function of the Alpha stable distri- bution and the method of parameter estimation. Firstly, the basic theory of Alpha stable distribu- tion is introduced, and the influence of four parameters on its distribution is analyzed by MAT- LAB simulation. Then the probability density function of Alpha stable distribution is calculated based on infinite series approximation. Finally, the concept of logarithm and geometric power is proposed. The parameters of Alpha stable distribution are estimated based on zero order statistics （ZOS）. The method has better toughness and higher precision.

关 键 词：ALPHA稳定分布 参数估计 零阶统计量 无穷级数逼近 几何功率 

分 类 号：TN971.1[电子电信—信号与信息处理]