Stochastic Geometry Modeling and Performance Evaluation of Downlink MIMO Cellular Networks

In this paper, a mathematical framework for evaluating the error probability of downlink Multiple-Input-Multiple-Output (MIMO) cellular networks is introduced. It is based on the Poisson Point Process (PPP)-based abstraction for modeling the spatial locations of the Base Stations (BSs) and it exploits results from stochastic geometry to characterize the distribution of the other-cell interference. The framework is applicable to spatial multiplexing MIMO systems with an arbitrary number of antennas at the transmitter (Nt) and at the receiver (Nr). It is shown that the proposed framework leads to easy-to-compute integral expressions, which provide insights for network design and optimization. The accuracy of the mathematical analysis is substantiated through extensive Monte Carlo simulations for various MIMO cellular network setups.