End-to-End Error Probability and Diversity Analysis of AF-Based Dual-Hop Cooperative Relaying in a Poisson Field of Interferers at the Destination

In this paper, we provide mathematical frameworks to the analysis of amplify-and-forward dual-hop cooperative relaying protocols in the presence of Nakagami-
$m$
fading and additive Gaussian noise at the relay, as well as additive Gaussian noise and symmetric alpha-stable interference at the destination. Quasi-static and fast-varying interference scenarios are investigated, which arise, e.g., when either the same or different interferers are active during the broadcast and relaying phases, respectively. A maximal ratio combining demodulator is studied, by assuming that the aggregate interference is either unknown (interference-oblivious) or can be estimated (interference-aware) at the destination. Closed-form expressions of the end-to-end moment generating function are provided, and the achievable diversity order is studied for different setups. The diversity order is shown to depend on the path-loss exponent of the interfering network. Under the assumption that the transmit-powers of cooperative and interfering networks are independent, it is proved that the interference-aware maximal ratio diversity combiner is capable of achieving second-order diversity only asymptotically, as the amplitude path-loss exponent tends to one.