论文标题
雷利（Rayleigh）产品通道上的大型MIMO系统的共同信息密度
Mutual Information Density of Massive MIMO Systems over Rayleigh-Product Channels
论文作者
论文摘要
Rayleigh-rododuct渠道模型用于表征由钥匙孔效应引起的等级缺陷。但是，文献中没有针对雷利产品通道的有限扩展分析。在本文中，我们将表征相互信息密度（MID）并执行FBL分析，以揭示雷利（Rayleigh）产品通道中排名的影响。为此，我们首先在渐近方案中为中间的雷利（Rayleigh）产品中的MIMO通道设置了一个中心限制定理，在同一速度下，散射器数量，天线数量和区块长的散射器数量，天线数量和区块长以相同的步伐为无穷大。然后，我们利用CLT来获得数据包误差概率的上限和下限，然后得出高和低信号与噪声比率的近似值，以说明等级缺陷的影响。一个有趣的观察结果是，当散落者接近无穷大时，等级缺乏降低了具有FBL的MIMO系统的性能和瑞利产品通道的基本限制。
The Rayleigh-product channel model is utilized to characterize the rank deficiency caused by keyhole effects. However, the finite blocklength analysis for Rayleigh product channels is not available in the literature. In this paper, we will characterize the mutual information density (MID) and perform the FBL analysis to reveal the impact of rank-deficiency in Rayleigh-product channels. To this end, we first set up a central limit theorem for the MID over Rayleigh-product MIMO channels in the asymptotic regime where the number of scatterers, number of antennas, and blocklength go to infinity at the same pace. Then, we utilize the CLT to obtain the upper and lower bounds for the packet error probability, whose approximations in the high and low signal to noise ratio regimes are then derived to illustrate the impact of rank deficiency. One interesting observation is that rank-deficiency degrades the performance of MIMO systems with FBL and the fundamental limits of Rayleigh-product channels degenerate to those of the Rayleigh case when the number of scatterers approaches infinity.
