International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 15, Pages 2461-2471

Capacity of fully correlated MIMO system using character expansion of groups

Ejaz Khan and Conor Heneghan

Department of Electronic and Electrical Engineering, Faculty of Engineering and Architecture, University College Dublin, Belfield, Dublin 4, Ireland

Received 21 March 2005; Revised 13 June 2005

Copyright © 2005 Ejaz Khan and Conor Heneghan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


It is well known that the use of antenna arrays at both sides of communication link can result in high channel capacities provided that the propagation medium is rich scattering. In most previous works presented on MIMO wireless structures, Rayleigh fading conditions were considered. In this work, the capacity of MIMO systems under fully correlated (i.e., correlations between rows and columns of channel matrix) fading is considered. We use replica method and character expansions to calculate the capacity of correlated MIMO channel in closed form. In our calculations, it is assumed that the receiver has perfect channel state information (CSI) but no such information is available at the transmitter.