LARGEST EIGENVALUE STATISTICS OF DOUBLE-CORRELATED COMPLEX WISHART MATRICES AND MIMO-MRC

This paper considers multiple-input multiple-output (MIMO) antenna systems employing transmit beamforming (BF) with maximum ratio combining (MRC) receivers. Rayleigh fading environments are considered, with both transmit and receive spatial correlation. Exact expressions are presented for the probability density function (p.d.f.) of the output signal-to-noise ratio (SNR), as well as the system outage probability. The results are based on efficient closed-form expressions which we derive for the p.d.f. and c.d.f. of the maximum eigenvalue of double-correlated complex Wishart matrices. The results are validated through comparison with Monte-Carlo simulations, and used to examine the effect of spatial correlation on the SNR p.d.f. and the outage probability. 1