论文标题
不完美的CSI(扩展版)下相关的大型MIMO系统中的盒子 - 释放的大型系统分析
Large System Analysis of Box-Relaxation in Correlated Massive MIMO Systems Under Imperfect CSI (Extended Version)
论文作者
论文摘要
在本文中,我们研究了在不完善的通道状态信息(CSI)和接收端通道相关性的假设下,在大量多输入 - 核能输出(MIMO)系统中研究均方根误差(MSE)和盒子删除解码器的位表现(BER)。我们的分析假设传输和接收天线($ n $和$ m $)的数量同时增长,而其比率保持固定。为了简化分析,我们考虑二进制相移键合(BPSK)调制信号。 MSE和BER的渐近近似使我们能够在MSE/BER最小化下得出最佳功率分配方案。数值模拟表明,即使对于小$ n $和$ m $,渐近近似也是准确的。它们还显示了盒子约束在减轻所谓的双重下降现象中的重要作用。
In this paper, we study the mean square error (MSE) and the bit error rate (BER) performance of the box-relaxation decoder in massive multiple-input-multiple-output (MIMO) systems under the assumptions of imperfect channel state information (CSI) and receive-side channel correlation. Our analysis assumes that the number of transmit and receive antennas ($n$,and $m$) grow simultaneously large while their ratio remains fixed. For simplicity of the analysis, we consider binary phase shift keying (BPSK) modulated signals. The asymptotic approximations of the MSE and BER enable us to derive the optimal power allocation scheme under MSE/BER minimization. Numerical simulations suggest that the asymptotic approximations are accurate even for small $n$ and $m$. They also show the important role of the box constraint in mitigating the so called double descent phenomenon.