Capacity of MIMO systems in Rayleigh fading and shadowing

In this paper, we compare the capacity of multiple-input and multiple-output (MIMO) systems under the dual effects of Rayleigh fading and log-normal shadowing with that of Rayleigh fading alone. Our numerical results suggest that in general, there could be a loss in capacity with both optimal and suboptimal adaptive transmission schemes under the combined effect of fading and shadowing when compared to that of a fading alone case.