Spatiotemporal Modelling of Multi-Gateway LoRa Networks with Imperfect SF Orthogonality

Yathreb Bouazizi, Fatma Benkhelifa, Julie McCann

Research output: Chapter in Book/Report/Conference proceedingConference proceedingpeer-review

4 Citations (Scopus)
38 Downloads (Pure)


Meticulous modelling and performance analysis of Low-Power Wide-Area (LPWA) networks are essential for large scale dense Internet-of-Things (IoT) deployments. As Long Range (LoRa) is currently one of the most prominent LPWA technologies, we propose in this paper a stochastic-geometry-based framework to analyse the uplink transmission performance of a multi-gateway LoRa network modelled by a Matern Cluster Process (MCP). The proposed model is first to consider all together the multi-cell topology, imperfect spreading factor (SF) orthogonality, random start times, and geometric data arrival rates. Accounting for all of these factors, we initially develop the SF-dependent collision overlap time function for any start time distribution. We, then analyse the Laplace transforms of intra-cluster and inter-cluster interference and formulate the uplink transmission success probability. Through simulation results, we highlight the vulnerability of each SF to interference, illustrate the impact of parameters such as the network density and the power allocation scheme on the network performance. Uniquely, our results shed light on when it is better to activate adaptive power mechanisms, as we show that an SF-based power allocation that approximates LoRa Adaptive Data Rate (ADR) negatively impacts nodes near the cluster head. Moreover, we show that the interfering SFs degrading the performance the most depend on the decoding threshold range and the power allocation scheme.

Original languageEnglish
Title of host publication2020 IEEE Global Communications Conference, GLOBECOM 2020 - Proceedings
Number of pages7
ISBN (Electronic)9781728182988
ISBN (Print)9781728182995
Publication statusPublished - 25 Jan 2021
Externally publishedYes
Event2020 IEEE Global Communications Conference - Taipei, Taiwan, Province of China
Duration: 7 Dec 202011 Dec 2020

Publication series

NameIEEE Global Communications Conference
ISSN (Print)1930-529X
ISSN (Electronic)2576-6813


Conference2020 IEEE Global Communications Conference
Abbreviated titleGLOBECOM 2020
Country/TerritoryTaiwan, Province of China

Bibliographical note

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  • LoRa
  • Stochastic Geometry
  • collision time overlap
  • imperfect SF orthogonality
  • random start time
  • success probability

ASJC Scopus subject areas

  • Media Technology
  • Modelling and Simulation
  • Instrumentation
  • Artificial Intelligence
  • Computer Networks and Communications
  • Hardware and Architecture
  • Software
  • Safety, Risk, Reliability and Quality


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