Modelling the Relative MIMO Gain

The relative MIMO gain (RMG) is introduced as the ratio of the multiple input/multiple output capacity of a radio channel over its single input/single output one. In this paper, a statistical model is developed to approximate the distribution of the RMG, so that it can easily be incorporated into system-level simulators. A set of scenarios has been defined with different antenna configurations, for distances between 10 and 2400 m. The different antenna configurations range between 2 and 16 transmit and/or receive elements. The distribution of the RMG, presented here, is extracted from simulation results. The distribution of the RMG is modelled by an inverse Sigmoid function, which is determined by its mean value and standard deviation. The obtained model is assessed by simulation results, which shows a good fit for most of the cases. The model has a relative mean error of less than 6%, and a relative mean square error of less than 7.5%, for all antenna configurations and distances, compared to the simulation results.