TY - GEN
T1 - Analytic framework for the mutual information cumulants of different MIMO fading channels
AU - De Kerret, Paul
AU - Matthaiou, Michail
AU - Mathar, Rudolf
AU - Nossek, Josef A.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/79551617399
U2 - 10.1109/GLOCOM.2010.5683814
DO - 10.1109/GLOCOM.2010.5683814
M3 - Conference contribution
AN - SCOPUS:79551617399
SN - 9781424456383
T3 - GLOBECOM - IEEE Global Telecommunications Conference
BT - 2010 IEEE Global Telecommunications Conference, GLOBECOM 2010
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 53rd IEEE Global Communications Conference, GLOBECOM 2010
Y2 - 6 December 2010 through 10 December 2010
ER -