On the Shannon capacity of dual MIMO systems in Ricean fading

We derive exact analytical expressions for the probability density function and cumulative distribution function for the capacity of a dual multiple-input multiple-output system (either two transmit or two receive antennas) transmitting in Ricean fading. In contrast to earlier work we do not require the line-of-sight (LOS) channel matrix to be of rank one. As an example, we investigate the special case of uniform linear arrays, and derive expressions for the eigenvalues of a possibly full rank LOS channel matrix for this case. The results are verified by comparing the analytical expressions with Monte Carlo simulations.