RLN衰落下D-MIMO系统遍历容量上边界

Upper bound on the ergodic capacity of D-MIMO systems in double-sidedcorrelated Rayleigh/Lognormal fading channels

针对空域双边相关同时存在、收发天线数量不受限制的RLN衰落下的分布式多输入多输出系统,分析和提出了解析的系统遍历容量的上边界.通过子矩阵展开等方法构造出新的不等式,在对上述系统模型的遍历容量边界分析中,解决了对大尺度衰落矩阵和小尺度衰落矩阵的统计分析无法分离的问题.当系统接收端天线数量大于或小于等于发送端时,在低信噪比到高信噪比的范围内,上边界均非常接近遍历容量.这一结论由不同空域相关系数下的仿真试验所证实.当分布式系统的收发端站点数量均为1时,模型退化为点对点多输入多输出系统,该上边界变为空域双边相关Rayleigh衰落下多输入多输出系统遍历容量的上边界.

An analytical upper bound is presented for the ergodie capacity of distributed multiple-input multiple-output （D-MIMO） systems operating in Rayleigh/Lognormal fading with double-sided spatial correlation. A new inequality is constructed by sub-matrix expansion, and then the difficulty in averaging the channel eigen-statistics over the shadowing distribution is resolved. The proposed upper bound is applicable for the arbitrary number of receive and transmit antennas and remains tight over the entire Signal- to-Noise regime. The validity of the conclusion is verified by compu- ter simulation. When the number of receive and transmit nodes is one, the lower bound reduces to the bound on the ergodic capacity of point to point MIMO systems operating in Rayleigh/Lognormal fading with double-sided spatial correlation.