Channel Modelling of MU-MIMO Systems by Quaternionic Free Probability

被引:0
作者
Muller, Ralf R. [1 ]
Cakmak, Burak [1 ]
机构
[1] Norwegian Univ Sci & Technol, Dept Elect & Telecommun, N-7034 Trondheim, Norway
来源
2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT) | 2012年
关键词
antenna arrays; channel modeling; eigenvalue distribution; free probability; line of sight; multiple-input multiple output; quaternions; random matrices; R-diagonal elements; Rician fading; Stieltjes transform; CAPACITY; IMPACT;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper studies the asymptotic eigenvalue distribution (AED) and the mutual information of a multiuser (MU) multiple-input multiple output (MIMO) channel with a certain fraction of users experiencing line-of-sight. It shows that the AED of the channel matrix decomposes into two separate bulks for practically relevant parameter choices and differs very much from the common assumption of independent identically distributed (iid) entries which induces the quarter circle law. This happens even without antenna correlation at either side of the channel. In order to tackle this problem the paper makes use of recent developments in free probability theory which allow to deal with complex-valued eigenvalue distributions of non-Hermitian matrices by means of quaternions.
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页数:5
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