Using the theory of random matrices, a performance analysis is given for uncoded binary transmission over multiple-input multiple-output channels, under the assumption that transmitter beamforming is used. In particular, exact finite antenna expressions are found for the average bit error rate (in the case of ergodic channels) for both noncoherent and coherent detection. Expressions for the the outage probability (in the case of quasi-static channels) are also given.
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Alex Grant (2005) studied this question.
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