On some applications of the distribution of ordered eigenvalues of wishart matrices

The marginal distributions of arbitrarily ranked eigenvalues of the Wishart matrix are derived in (R. Kwan et al, 2007). In this paper, the result is used to obtain a simple, exact analytical expression for the average symbol error rate (ASER) in a multiple-input, multiple-output (MIMO) system with multiple beamforming (MB) in a Rayleigh fading environment. A good approximation to the outage probability (OP) of the system is also provided. The results show that both ASER and OP are important performance measures in the analysis of MB-MIMO systems. The result in (R. Kwan et al, 2007) is also used to study the ergodic capacity of MIMO systems which use antenna subset selection.