Theoretical analysis of base station cooperation MIMO channel by using eigenvalue theory of wishart matrix

In Rayleigh fading environments, a MIMO channel matrix can be considered as a random matrix. Theory of Wishart matrix, which is a correlation matrix of the random matrix, has been developed by A. T. James. Later, distributions of eigenvalues of Wishart matrix have been applied to derive MIMO channel capacity, where the average power of the random matrix are uniform. In BSCMIMO, however, the average power of the random matrix are not uniform because of unbalanced pathloss from different base stations. In this paper, we will obtain distributions of the eigenvalues considering unbalanced pathloss and derive average channel capacity of BSC-MIMO by using these distributions.