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Analytic framework for the mutual information cumulants of different MIMO channels

Paul de Kerret ; Michail Matthaiou (Institutionen för signaler och system, Signalbehandling) ; Rudolf Mathar ; Josef A. Nossek
53rd IEEE Global Communications Conference, GLOBECOM 2010; Miami, FL; United States; 6 December 2010 through 10 December 2010 p. Art. no. 5683814. (2010)
[Konferensbidrag, refereegranskat]

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.



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Denna post skapades 2011-01-13. Senast ändrad 2016-08-22.
CPL Pubid: 133584

 

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