Coverage of LoRa Links with a-Stable Modeled Interfering Underlying IoT Networks

loT networks have been omnipresent in urban and sub-urban areas since a few years ago. Even if all the IoT protocols do not use the same characteristics (modulation, resource sharing, transmit power, bandwidth), sometimes they share the same bands, which can inevitably lead to interference on the neighboring networks, and thus to a decrease in the overall coverage. In this paper, we present an analytical study of the coverage for a LoRa network with underlying uncoordinated IoT networks. Thanks to stochastic geometry, we propose closed form expressions and analyze the success and the coverage probabilities for a LoRa network in an infinite area. The interference taken into account in this work come from both the LoRa network itself (so called co-SF interference) and the underlying IoT network, modeled with an a-stable distribution, which parameters are based on recent measured values.