System outage probability analysis in uplink multi-hop cellular systems over composite channels

Owing to its superior performances, the multi-hop cellular system has drawn much attention in recent years. This paper aims to study the uplink system outage probability of the multi-hop cellular system over composite channels. Initially, we consider a composite channel model, which takes path loss, lognormal shadowing and Nakagami-m fading into account. Then, based on the amplify-and-forward relaying, the signal-to-noise ratio of each link is investigated. Further, an expression of the outage probability for a mobile station (MS) over a given position is derived after employing selective transmission scheme. After that, considering the distribution of MSs in the cellular systems, a numerical expression of the system outage probability is further obtained. Numerical results prove that the derived expression of the system outage probability can provide very good approximation to the realistic outage performance without time-intensive simulations. Moreover, it’s also shown that the muilti-hop cellular system in this paper outperforms the conventional cellular system in terms of outage probability.