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Asymptotic Statistics of Channel Capacity for Amplify-and-Forward MIMO Relay Systems

In this thesis, we address the statistics of mutual information of amplify-and-forward (AF) multiple-input multiple-output (MIMO) two-hop relay channels, where the
source terminal (ST), relay terminal (RT) and destination terminal (DT) are equipped with a number of correlated antennas and there is a line-of-sight (LOS)
component (Rician fading) of each link. To the best of our knowledge, deriving analytical expressions for the statistics of mutual information of the relay channel
is difficult and still unsolvable. To circumvent the mathematical difficulties, we consider this problem under the large-system regimen in which the numbers of
antennas at the transmitter and receiver go to infinity with a fixed ratio. In the large-system regimen, this thesis has made the following contributions: 1) We
get the mean and the variance of the mutual information of the concerned relay channel. 2) We show that the mutual information distribution converges to the
Gaussian distribution. The analytical results are derived by mean of two powerful tools developed in the context of theoretical physics: emph{saddle-point
approximation} and emph{superanalysis}. The derived analytical results are very general and can degenerate to several previously results as special cases. From a
degenerated case, we realize that the previous result by Wagner {em et al.} cite{Wag-08} is wrong and thus
we provide the corrected result. Finally, Simulation results demonstrate that even for a moderate number of antennas at each end, the proposed analytical results
provide undistinguishable results as those obtained by Monte-Carlo results.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0717112-153556
Date17 July 2012
CreatorsHsu, Chung-Kai
ContributorsPan-gan Ting, Wan-Jen Huang, Chih-Peng Li, Chao-Kai Wen, Chih-Wen Chang
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageCholon
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0717112-153556
Rightsuser_define, Copyright information available at source archive

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