Performance Analysis of Multiuser 2-hop Systems with Random Placement of Relay Nodes

We consider a multi-user scenario where sources transmit their message to the destinations by means of a two-hop mechanism. To minimize the interference generated in the scenario, a simple opportunistic relay selection mechanism is investigated. The performance of the scenario is evaluated using some results of the stochastic geometry under the assumption that relay nodes are distributed according to a Poisson point process. Results show that, when the relay density is sufficiently high, a suitable choice of the relay leads to a limited amount of interference generated during source-relay and relay-destination transmissions.