Large MIMO system channel capacity using replica analysis and Grassmann variables: a closed form solution

Multiinput multioutput (MIMO) system are today regarded as one of the most promising research areas in wireless communications. This is due to the fact that MIMO channel can offer a significant capacity gain over traditional single-input single-output (SISO) channel. When transmitting over MIMO channels, there are additional degrees of freedom with respect to SISO channels. This paper presents the capacity of an uncorrelated MIMO channel in high SNR regime. The expression for the large system MIMO capacity is calculated in closed form using replica analysis and Grassmann variables. It is assumed that the receiver has perfect knowledge of the channel but no such information is available at the transmitter.