On Statistical Distribution of Eigenvalues of Channel Correlation Matrix in MIMO Multi-Keyhole Environment

Makoto TSURUTA  Tetsuki TANIGUCHI  Yoshio KARASAWA  

Publication
IEICE TRANSACTIONS on Communications   Vol.E90-B   No.9   pp.2352-2359
Publication Date: 2007/09/01
Online ISSN: 1745-1345
DOI: 10.1093/ietcom/e90-b.9.2352
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Section on 2006 International Symposium on Antennas and Propagation)
Category: Propagation
Keyword: 
MIMO multi-keyhole model,  MIMO repeater system,  eigenvalue,  space diversity,  channel capacity,  

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Summary: 
MIMO leads to dramatic improvement in channel capacity and/or link reliability of wireless systems. However, a MIMO channel has only one degree of freedom in a keyhole environment. As a result, this environment reduces achievable channel capacity and link quality. This paper proposes a MIMO repeater system, which can realize a multi-stream transmission. Although the averaged channel capacity in the MIMO repeater system is discussed in several published papers, the probability density functions of eigenvalues of correlation matrix are not analyzed. MIMO transmission performance can basically be estimated from eigenvalues of the channel correlation matrix. We derive an approximated formula for the probability density function of all eigenvalues linked to the space diversity. It is shown that the calculated values based on the proposed method agrees very well with the simulated values.