Analytic framework for the mutual information cumulants of different MIMO channels
Paper i proceeding, 2010

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) [1], 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.


Paul de Kerret

RWTH Aachen University

Michail Matthaiou

Chalmers, Signaler och system, Signalbehandling och medicinsk teknik

Rudolf Mathar

RWTH Aachen University

Josef A. Nossek

Technische Universität München

53rd IEEE Global Communications Conference, GLOBECOM 2010; Miami, FL; United States; 6 December 2010 through 10 December 2010

Art. no. 5683814-
978-142445638-3 (ISBN)


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