应用科学学报 ›› 2009, Vol. 27 ›› Issue (6): 557-562.

• 通信工程 • 上一篇    下一篇

特殊非Rayleigh相关信道的MIMO-MRC系统性能

  

  1. 上海交通大学电子工程系,上海200240
  • 收稿日期:2009-06-08 修回日期:2009-07-29 出版日期:2009-11-25 发布日期:2009-11-30
  • 作者简介:张唯炯,博士生,研究方向:多天线无线通信技术,E-mail: zhangweijiong@sjtu.edu.cn; 周希朗,教授,博导,研究方向:微波集成电 路与天线设计、多天线技术等,E-mail: xlzhou@sjtu.edu.cn
  • 基金资助:

    国家自然科学基金(No. 60572156)资助项目

Performance of MIMO-MRC Systems in Special Non-Rayleigh Channels with Spatial Correlation

ZHANG Wei-jiong, GUAN Zhang-jun, ZHOU Xi-lang   

  1. Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2009-06-08 Revised:2009-07-29 Online:2009-11-25 Published:2009-11-30

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.

关键词: 多输入多输出最大比合并, 非Rayleigh信道, 空间相关, 复超几何函数

Abstract:

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.

Key words: MIMO-MRC, non-Rayleigh channel, spatial correlation, complex hypergeometric functions

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