一阶Markov模型产生相关瑞利衰落包络  

First Order Markov Model for Correlated Rayleigh Fading Envelopes

作　　者：扈罗全[1] 谢海俊[1] 陆全荣[1] Chen Yifan 

机构地区：[1]苏州出入境检验检疫局,江苏苏州215128 [2]Medway School of Engineering, University of Greenwich, London, UK

出　　处：《苏州大学学报（工科版）》2009年第1期1-6,共6页Journal of Soochow University Engineering Science Edition (Bimonthly)

基　　金：国家自然科学基金资助项目(编号60572024;60772061);教育部博士点基金资助项目(编号200509230031);江苏出入境检验检疫局科研资助项目(编号2008KJ11)

摘　　要：研究使用基于一阶Markov模型产生相关的瑞利衰落包络。首先介绍产生相关高斯和复高斯随机变量的一阶Markov模型。对相关复高斯随机变量进行取模运算后得到相关瑞利随机变量,并得到自相关矩阵为实矩阵的加色矩阵。给出使用一阶Markov模型生成相关瑞利随机变量的相关系数的解析表达式,它由一个超几何函数表示。使用数值算法以曲线和表格形式给出相关的瑞利随机变量相关系数与一阶Markov模型参数之间的数值关系,使用仿真方法分别得到了相关的瑞利随机变量和相关的瑞利衰落包络。Correlated Rayleigh fading envelopes are analyzed based on the first order Markov model. Firstly correlated Gaussian and complex Gaussian random variables constructed from the first order Markov model are investigated The correlated Rayleigh random variables are obtained from the modulo operation for correlated complex Gaussian random variables. And a coloring matrix that is the autocorrelation matrix is derived as a real matrix. A closed for- mula of the corresponding correlation coefficient is obtained expressed in hypergeometric function. The function profile and the numerical equivalent relationship between the correlation coefficient of correlated Rayleigh random variables and the parameter of the first order Markov model are obtained, respectively. The correlated Rayleigh random variables and Rayleigh fading envelopes are obtained from the simulation.

关 键 词：无线通信 衰落信道 MARKOV模型 瑞利衰落 

分 类 号：TN929.5[电子电信—通信与信息系统]