Outage and symbol error probabilities of dual-hop AF relaying in a Poisson field of interferers

In this paper, we introduce a new framework to compute the Outage Probability (P <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">out</inf> ) and the Average Symbol Error Probability (ASEP) of dual-hop Amplify-and-Forward (AF) relaying in the presence of noise, fading, and network interference. The interfering nodes are randomly distributed in the 2D Euclidean plane according to a homogeneous Poisson point process. Our framework provides closed-form expressions of P <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">out</inf> and ASEP over Rayleigh fading channels, additive noise at the relay and at the destination, and network interference at the destination. The accuracy of our analytical derivation is substantiated through extensive Monte Carlo simulations.