Asymptotic Capacity and Precoding Designs for Correlated Multi-Hop MIMO Channels

Asymptotic capacity and precoding design are presented in the literature for a special case of wireless correlated multi-hop multi-input multi-output (MIMO) networks, where the channel has only white noise at the destination, no noise at all relay levels, and the number of antennas is very large. This particular channel assumption is not always feasible in compact MIMO design with space limitation and mutual interference. For the sake of generality, by invoking Karush-Kuhn-Tucker (KKT) condition for the optimality of convex programming, in this paper we propose asymptotic capacity expressions and precoding designs for generally correlated wireless multi-hop MIMO channels. The channel at each hop is spatially correlated, the source symbols are mutually correlated, and the additive Gaussian noise at each hop is colored. Simulation results shows that the proposed precoding designs can significantly increase the end-to-end mutual information while it does not require resources of the system such as transmission power or bandwidth.