Mutual information statistics and beamforming performance analysis of optimized LoS MIMO systems

Authors:
Michail Matthaiou;Paul De Kerret;George K. Karagiannidis;Josef A. Nossek
Affiliations:
Department of Signals and Systems, Chalmers University of Technology, Gothenburg, Sweden and TU München, Germany;Institute for Theoretical Information Technology, RWTH Aachen University, Aachen, Germany;Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece;Institute for Circuit Theory and Signal Processing, Technische Universität München, Munich, Germany
Venue:
IEEE Transactions on Communications
Year:
2010

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Abstract

This paper provides a systematic mutual information (MI) and multichannel beamforming (MBF) characterization of optimized multiple-input multiple-output (MIMO) communication systems operating in Ricean fading. These optimized configurations are of high practical importance since, contrary to the common belief, benefit from the presence of direct Line-of-Sight (LoS) components and deliver maximum multiplexing gains, by deploying specifically designed antenna arrays at both ends. In the following, using elements from random matrix theory, novel analytical expressions are derived for the exact and asymptotic MI statistics while the prevalent Gaussian approximation is examined. Moreover, new explicit expressions for the marginal eigenvalues are deduced which are thereafter used to analyze the BF performance of the associated eigenmodes in terms of Signal-to-Noise ratio (SNR) outage probability. We note that all derived formulas are given in tractable determinant form and therefore allow for fast and efficient computation and also yield an excellent match with Monte-Carlo simulations, under different fading scenarios and model parameters.