Performance Analysis of Multihop Relaying Systems in an $\alpha$-Ginibre Field of Interferers

Abstract

In this paper, we consider multihop relaying systems, where nodes experience cochannel interference and where interferers are randomly distributed. Although modeling the locations of the interferers as a Poisson point process (PPP) allows us to readily characterize the performance of the systems, the PPP may not be suitable in practical scenarios, since the interferers, such as cellular base stations, exhibit repulsion behaviors, and thus, there exists a form of correlation among the interferers. In order to take the correlation into account, we model the spatial distribution of the interferers as an $\alpha$ -Ginibre point process (GPP), which reflects the repulsion among the interferers and includes the PPP as a special case. We first derive a closed-form expression for the Laplace transform of the interference. Then, we analyze the outage probability and the ergodic capacity of the multihop relaying systems by considering two protocols: decode-and-forward (DF) and amplify-and-forward (AF). As the $\alpha$ -GPP contains the PPP as a special case, our analytical results can be seen as a generalization of prior works on the relaying systems with the PPP distributed interferers. From simulation results, we verify the accuracy of our analysis.