Spatially Asymptotic Behavior of Structured Covariance Matrix Estimation for Massive MIMO

被引：2
|
作者：
Chen, Jinhui [1 ,2 ]
Xu, Zhan [1 ,2 ]
Gesbert, David [3 ]
Yang, Kai [4 ]
Zhi, Ruxin [1 ,2 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Key Lab Modern Measurement & Control Technol, Beijing 100101, Peoples R China
[2] Beijing Informat Sci & Technol Univ, Sch Informat & Commun Engn, Beijing 100101, Peoples R China
[3] Eurecom, Dept Commun Syst, F-06410 Biot, France
[4] Beijing Inst Technol, Sch Informat & Elect, Beijing 100081, Peoples R China
来源：
IEEE COMMUNICATIONS LETTERS | 2021年 / 25卷 / 08期
关键词：
Covariance matrices; Antennas; Correlation; Antenna arrays; Linear antenna arrays; Redundancy; Channel estimation; Asymptotic behavior; structured covariance matrix estimation; spatial correlation; massive MIMO;
D O I：
10.1109/LCOMM.2021.3081733
中图分类号：
TN [电子技术、通信技术];
学科分类号：
0809 ;
摘要：
In this letter, the truncated redundancy averaging (TRA) method for structured covariance matrix estimation and its spatially asymptotic behavior for massive MIMO are studied. The TRA method can be applied to the antenna arrays exhibiting correlation redundancy, including linear and non-linear arrays. Resorting to Khinchin's statement on the law of large numbers for correlated random variables, it is derived that, for a uniform array, if its physical size is a strictly increasing linear or sub-linear function of the number of antenna elements, the convergence of the TRA estimate to the true covariance matrix occurs within one single channel realization. We also derive and demonstrate that lower spatial correlation leads to increased estimation performance.
引用
收藏
页码：2594 / 2598
页数：5
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