Asymptotically analyzing the effect of channel estimation error on multiuser channel capacity

In this paper, the effect of channel estimation error at the receiver on the multi-access channel capacity is analyzed under the framework of a statistical-mechanical approach. The multiuser channel capacity with or without channel estimation error is derived. Numerical simulation results are shown to validate the Asymptotic analysis. The simulation results demonstrate how the system parameters, such as imperfect channel state information, system load and signal-to-noise ratio, effect on the channel capacity.