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Linear receivers offer a low complexity option for multi-antennacommunication systems. Therefore, understanding the outage behavior of thecorresponding SINR is important in a fading mobile environment. In this paperwe introduce a large deviations method, valid nominally for a large number M ofantennas, which provides the probability density of the SINR of Gaussianchannel MIMO Minimum Mean Square Error (MMSE) and zero-forcing (ZF) receivers,with arbitrary transmission power profiles and in the presence of receiverantenna correlations. This approach extends the Gaussian approximation of theSINR, valid for large M asymptotically close to the center of the distribution,obtaining the non-Gaussian tails of the distribution. Our methodology allows usto calculate the SINR distribution to next-to-leading order (O(1/M)) andshowcase the deviations from approximations that have appeared in theliterature (e.g. the Gaussian or the generalized Gamma distribution). We alsoanalytically evaluate the outage probability, as well as the uncodedbit-error-rate. We find that our approximation is quite accurate even for thesmallest antenna arrays (2x2).

SINR Statistics of Correlated MIMO Linear Receivers