Abstract
This paper presents an analytical model for the uplink performance analysis of low power wide area (LPWA) networks. Such networks typically serve for data aggregation in machine-to-machine (M2M) communication scenarios. Our model predicts the outage probability of desired radio nodes and is based on the inversion of the moment-generating function of a suitable defined random variable. Due to the peculiarities of LPWA networks, namely low access probabilities and static channel conditions, the numerical inversion is not a trivial task, and we propose the use of a special inversion algorithm to address this problem. The applicability of the proposed model is demonstrated for an exemplary network topology with a latency constraint. We obtain optimum medium access probabilities for either maximized network coverage area or a trade-off between coverage and power consumption.
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