Matrix Variate Distributions and MIMO Channel Capacity

摘要

MIMO wireless communication technique is one of the hottest research topics in wireless communication field at the moment. Its theoretical analysis depends on knowledge of multivariate statistics, especially the theory of matrix variate distributions. Based on the theory of matrix variate distribution over complex field, this paper investigates the capacity of MIMO Rayleigh fading channels in the presence of Rayleigh co-channel interference. It is assumed that perfect channel information is available to the receiver, but the transmitter has no channel information. Moreover, the transmit antenna array for the desired user can be allowed to be correlated. This paper first derives an exact closed-form expression of the moment generating function (MGF) of mutual information of MIMO channels with interference, and then obtains further an exact expression of the MIMO ergodic capacity with the MGF formula of mutual information. This paper emphasizes the application of matrix variate distributions’ theory to the study of MIMO channel capacity.