This paper characterizes the marginal probability density function of an unordered eigenvalue of finite-dimensional random matrices of particular interest in MIMO (multiple-input multiple-output) wireless communications. Specifically, a technique is presented for deriving the eigenvalue statistics in one-side correlated Rayleigh-faded channels and in Ricean-faded channels, with or without cochannel interferers. The exact expressions found turn out to be extremely useful in calculating information-theoretic quantities. As an application, we calculate the ergodic mutual information for all the abovementioned channel fading conditions, obtaining a closed form formula for the Rayleigh case and, in turn, a series expression for the Ricean faded one.
Eigenvalue statistics of finite-dimensional random matrices for MIMO wireless communications / G., Alfano; A., Lozano; Tulino, ANTONIA MARIA; S., Verdú. - ELETTRONICO. - (2006), pp. 4125-4129. (Intervento presentato al convegno 2006 IEEE International Conference on Communications (ICC 2006) tenutosi a Istanbul, Turkey nel June 11-15, 2006).
Eigenvalue statistics of finite-dimensional random matrices for MIMO wireless communications
TULINO, ANTONIA MARIA;
2006
Abstract
This paper characterizes the marginal probability density function of an unordered eigenvalue of finite-dimensional random matrices of particular interest in MIMO (multiple-input multiple-output) wireless communications. Specifically, a technique is presented for deriving the eigenvalue statistics in one-side correlated Rayleigh-faded channels and in Ricean-faded channels, with or without cochannel interferers. The exact expressions found turn out to be extremely useful in calculating information-theoretic quantities. As an application, we calculate the ergodic mutual information for all the abovementioned channel fading conditions, obtaining a closed form formula for the Rayleigh case and, in turn, a series expression for the Ricean faded one.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.