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Outage Analysis of MIMO-MRC in Correlated Rician Fading
This paper addresses one of the classical problems in random matrix theory--
finding the distribution of the maximum eigenvalue of the correlated Wishart
unitary ensemble. In particular, we derive a new exact expression for the
cumulative distribution function (c.d.f.) of the maximum eigenvalue of a
correlated non-central Wishart matrix with rank- mean. By using
this new result, we derive an exact analytical expression for the outage
probability of multiple-input multiple-output
maximum-ratio-combining (MIMO-MRC) in Rician fading with transmit correlation
and a strong line-of-sight (LoS) component (rank- channel mean). We also
show that the outage performance is affected by the relative alignment of the
eigen-spaces of the mean and correlation matrices. In general, when the LoS
path aligns with the least eigenvector of the correlation matrix, in the {\it
high} transmit signal-to-noise ratio (SNR) regime, the outage gradually
improves with the increasing correlation. Moreover, we show that as (Rician
factor) grows large, the outage event can be approximately characterized by the
c.d.f. of a certain Gaussian random variable.Comment: 7 page