Further results on MIMO networks based on the distribution of the eigenvalues of arbitrarily correlated Wishart matrices

Abstract

We review some recent results on the distribution of the eigenvalues of Gaussian quadratic forms and Wishart matrices with arbitrary correlation, in particular including the case where the covariance matrix has eigenvalues of arbitrary multiplicity. Then, we apply these recent results to produce further numerical results on the performance of multiple-input/multiple-output (MIMO) communication systems in the presence of multiple MIMO co-channel interferers and noise. We consider the situation in which transmitters have no information about the channel and all links undergo Rayleigh fading. We show that, in a network of MIMO(n, n) systems, the larger n, the better, irrespectively on the signal-to-interference ratio and signal-to-noise ratio. On the contrary, if the number of receiving antenna is fixed, it is be better to use a small number of transmitting antennas if the signal-to-interference ratio is below some threshold.