特殊非Rayleigh相关信道的MIMO-MRC系统性能

摘要

基于矩阵变量复超几何函数的性质,提出一种分析低Rician因子信道下MIMO-MRC系统性能的近似方法.该方法利用非中心复Wishart矩阵有序特征值概率密度函数的上界得到最大特征值的近似概率密度函数,据此求得Rician信道下发射相关MIMO-MRC系统的中断容量、平均信噪比及误符号率等性能的封闭表达式.此外还研究了发射相关Nakagami锁孔信道下MIMO-MRC系统信噪比的概率密度函数,并求得系统平均信噪比的封闭表达式.与已有结果相比,所得到的公式更易于计算.仿真结果验证了推导的正确性.%A method to analyze performance of MIMO-MRC systems in correlated Rician channels with lower Rician factor is presented based on the property of complex hypergeometric functions of matrix arguments. By the upper bound for the joint density of ordered eigenvalues of a complex non-central Wishart matrix, approximate density of its maximal eigenvalue can be derived. Closed-form expressions for the outage capacity, mean SNR and error symbol rate of a MIMO-MRC system in such a Rician channel with correlation at the transmitter are obtained. Furthermore, closed-form expressions for density and mean of SNR of a MIMO-MRC system in Nakagami lock hole channel with correlation at the transmitter are also given. Compared with the previously reported results, the derived formulas are easy to computer. Numerical results verify the accuracy of the derived expressions.