Analysis of average outage probabilities in a finite, centralised radio network with slotted random access

The paper analyses the outage probability of a radio node in a finite size large-scale data aggregation network which employs slotted random medium access. In most literature, this performance metric is usually derived from a Poisson point process distribution of radio nodes in infinite space. In contrast, we analyse a network with finite area and a fixed number of interfering nodes using a binomial point process. Based on the point process, conditional outage probabilities in a log-normal fading channel in case of n interferers are derived. These interim results are used to obtain the outage probability of a desired radio node as a function of the offered network load. We present numerical outage probabilities for distinct path loss exponents, capture thresholds and varying distances between node and receiver.