Quadratic forms on complex random matrices and multiple-antenna systems

Authors:
T. Ratnarajah;R. Vaillancourt
Affiliations:
Dept. of Math. & Stat., Univ. of Ottawa, Ont., Canada;-
Venue:
IEEE Transactions on Information Theory
Year:
2005

Citing 0
Cited 3

Singular matrix variate beta distribution

Journal of Multivariate Analysis
Ordered eigenvalues of a general class of Hermitian random matrices with application to the performance analysis of MIMO systems

IEEE Transactions on Signal Processing
A relay assisted cooperative transmission protocol for wireless multiple access systems

IEEE Transactions on Communications

Quantified Score

Hi-index	754.84

Visualization

Abstract

In this correspondence, the densities of quadratic forms on complex random matrices and their joint eigenvalue densities are derived for applications to information theory. These densities are represented by complex hypergeometric functions of matrix arguments, which can be expressed in terms of complex zonal polynomials. The derived densities are used to evaluate the two most important information-theoretic measures, the so-called ergodic channel capacity and capacity versus outage of multiple-input multiple-output (MIMO) spatially correlated Rayleigh-distributed wireless communication channels. We also derive the probability density function of the mutual information between transmitted and received complex signals of MIMO systems with a finite number of transmit and receive antennas. Numerical results show how channel correlation degrades the capacity of MIMO communication systems.