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Analytic Framework for the Mutual Information Cumulants of Different MIMO Fading Channels

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4 Author(s)
de Kerret, P. ; Inst. for Theor. Inf. Technol., RWTH Aachen Univ., Aachen, Germany ; Matthaiou, M. ; Mathar, R. ; Nossek, J.A.

In this paper, we present a general analytical framework for the exact mutual information (MI) cumulants of multiple-input multiple-output (MIMO) systems with perfect receiver channel state information (CSI) and no transmitter CSI. Our derivation is based on a recent parameterization of the joint ordered eigenvalue probability density function (PDF), that encompasses both uncorrelated/semi-correlated Rayleigh channels as well as uncorrelated Rician channels. In addition, we extend our framework to account for the cumulants of doubly-correlated Rayleigh channels and also to deduce tractable expressions in the high Signal-to-Noise ratio (SNR) regime. The cumulants are particularly useful to study all high-order statistics (HOS) of the MI; in fact, they can be used to express the MI mean and variance as a finite sum of determinants. Our analytical expressions are then validated via Monte-Carlo simulations with the attained accuracy being excellent in all cases.

Published in:

Global Telecommunications Conference (GLOBECOM 2010), 2010 IEEE

Date of Conference:

6-10 Dec. 2010