Extensive Capacity Simulations of Massive MIMO Channels for 5G Mobile Communication System

In this work, an analytic extension of massive MIMO capacity for 5G mobile communication systems is firstly developed. Then, the capacity limit and multiplexing gain are investigated in simulations for different massive MIMO configurations. Furthermore, the two calculated metrics are performed as a function of SNR taking into account the transceiver impairments. On the one hand, an analytic expression of the capacity under uncorrelated Rayleigh fading channel is developed as a function of SNR and OFDM subcarriers number. On the other hand, simulation results are carried out based on the deterministic and uncorrelated fading Rayleigh channel showing that the capacity limit is up bounded by [50-57] bit/s/Hz for a multiplexing gain equal to 256. Finally, three metrics are used to characterize the massive MIMO for the uncorrelated fading channel with a multiplexing gain of (4,4), (16,16), (64,64), (128,128) and (256,256), respectively. Likewise, a trade-off is observed between the capacity limit and the tolerable SNR value for massive MIMO transmission while increasing the multiplexing gain.