Large system analysis of the Successive Encoding Successive Allocation Method for the MIMO BC

Analytical expressions for the average sum rate of signal processing algorithms which require full Channel State Information at the transmitter are hard to obtain in practice. In the large system limit, where at least two system parameters go to infinity at a finite fixed ratio, analytical expressions can often be obtained, which also serve as a good approximation in systems with finite parameters. In this paper we present a large system analysis of the Successive Encoding Successive Allocation Method (SESAM) with Minimum Mean Square Error (MMSE) filters, which can almost achieve the optimum sum capacity at drastically reduced complexity. An analytical approximation of the asymptotic sum rate for Rayleigh fading channels is derived and compared with simulations in finite systems.