一种有长拖尾特性的G-分布海杂波模型

针对雷达海杂波概率密度函数的长拖尾特征,在K一分布杂波模型基础上提出一种新的描述海杂波的长拖尾分布G-分布.该分布是由二元Raylei#独立积随机变量和广义x分布的随机变量进行级联而生成的三元独立积.使用Mel-lin变换方法得到G-分布概率密度函数的解析表达式.仿真结果表明G-分布的长拖尾特性比K-分布强.最后使用实验数据验证G-分布描述海杂波的有效性,并给出一种产生相关G-分布随机变量的方法,产生所需的相关随机变量.

A Model of G-Distributed Sea Clutter with Long Tails

In order to model non-symmetric probability density function with long tail of sea clutter,a novel distribution with lon- ger tail called G-distribution is proposed based on conventional K-distribution.As a product of three independent random variables,G- distribution is generated by using two independent Rayleigh variables multiplied by a X distributed random variable with n degrees of freedom.The closed-form expression of G-distribution is obtained through the Mellin transform method.The simulation results demon- strate that there is longer tail in G-distribution than that in K-distribution.The experimental data of sea clutter are utilized to prove the effectiveness of G-distribution.A method to generate correlated random variables of G-distribution is introduced,and the needed random variables are produced.