On sum rate of multi-user distributed antenna system with circular antenna layout

In this paper, we investigate the uplink of a power controlled multi user distributed antenna system (DAS) with antennas deployed on a circle. Applying results from random matrix theory, we prove that the peruser sum rate and the total transmit power both converge as user number and antenna number go to infinity with a constant ratio. The relationship between the asymptotic per user sum rate and the asymptotic total transmit power is established. We then deal with a typical path loss exponent of 4, present the rate power relationship in a closed form and find the optimal circle radius for antenna deployment. Simulation results are also provided to demonstrate the validity of our analysis.