Asymptotic Analysis of Linear Precoding Techniques in Correlated Multi-Antenna Broadcast Channels

In this paper we consider MIMO broadcast channels with separable variance profile modelling antenna correlation at both transmit and receive sides. For large number of antennas we derive the theoretical sum-rate capacity when the transmitter performs zero-forcing or regularized zero-forcing precoding. In particular, we apply the results to volumelimited devices where the correlation originates from a dense antenna packing. Throughout this contribution we make extensive use of recent tools from random matrix theory. Simulations confirm the theoretical claims and also indicate that in most scenarios the asymptotic derivations applied to a finite number of users give good approximations of the actual ergodic sum-rate capacity.

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