Abstract
LoRa wireless technology is an increasingly prominent solution for massive connectivity and the Internet of Things. Stochastic geometry and numerical analysis of LoRa networks usually consider uniform end-device deployments. Real deployments however will often be non-uniform, for example due to mobility. This letter mathematically investigates how non-uniform deployments affect network coverage and suggest optimal deployment strategies and uplink random access transmission schemes. We find that concave deployments of LoRa end-devices with a sub-linear spread of random access inter-transmission times provide optimal network coverage performance.
Highlights
Fuelled by the smart-city vision and Internet of Things massive connectivity applications, low power wide area network (LPWAN) technologies have recently seen a dramatic increase in academic research interest and industrial deployments [1]
LoRa (Long Range) technology has emerged as an interesting solution for both urban and rural sensing and control applications due to its attractive long range, low power, and low cost features as well as its ease of deployment and use of unlicensed radio spectrum [2]
We build on previous results [6] and leverage tools from stochastic geometry [7] to i) present a novel mathematical framework for uplink performance analysis that models non-uniform deployments, ii) derive expressions for the packet collision probability and coverage probability using meta distribution statistics of the inherent interference and demonstrate how the two are related, and iii) define optimization problems used to obtain optimal and fair deployment strategies
Summary
Fuelled by the smart-city vision and Internet of Things massive connectivity applications, low power wide area network (LPWAN) technologies have recently seen a dramatic increase in academic research interest and industrial deployments [1]. LoRa (Long Range) technology has emerged as an interesting solution for both urban and rural sensing and control applications (e.g., smart metering, agriculture, supply chain & logistics) due to its attractive long range, low power, and low cost features as well as its ease of deployment and use of unlicensed radio spectrum [2]. It is presented as a good solution for moderately dense networks of low traffic devices, which do not impose strict latency or reliability requirements. We build on previous results [6] and leverage tools from stochastic geometry [7] to i) present a novel mathematical framework for uplink performance analysis that models non-uniform deployments, ii) derive expressions for the packet collision probability and coverage probability using meta distribution statistics of the inherent interference and demonstrate how the two are related, and iii) define optimization problems used to obtain optimal and fair deployment strategies
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