On a Gaussian approximation to the capacity of wireless MIMO systems
In this paper we consider the capacity of a single user MIMO wireless system in a Rayleigh or Ricean fading environment. It is known that a certain central limit theorem exists which states (under certain conditions) that the distribution of the standardized capacity is asymptotically Gaussian as and for some constant . However we demonstrate the surprising accuracy of a Gaussian approximation to the capacity for virtually all values of and . In order to investigate the accuracy of the Gaussian fit we derive the variance of the capacity in the Rayleigh fading case.