Equal Gain Combining in Poisson Networks With Spatially Correlated Interference Signals

Abstract

We study the successful reception probability and the area spectral efficiency (ASE) of equal gain receivers in a network where transmitters are distributed according to a Poisson point process. Considering spatially correlated interference signals, we derive exact analytical expression of the successful reception probability for two receive antennas and tight approximations for more than two receive antennas. Also, we give an approximation for the optimal transmitter density maximizing the ASE. The results show that the fully-correlated case where interference on different antennas are from the same set of transmitters gives pessimistic successful reception probability, while the uncorrelated case is optimistic.