On the Error Rate of the LoRa Modulation with Interference

Orion Afisiadis (Corresponding author), Matthieu Cotting, Andreas Burg, Alexios Balatsoukas-Stimming (Corresponding author)

Research output: Contribution to journalArticleAcademicpeer-review

39 Citations (Scopus)


LoRa is a chirp spread-spectrum modulation developed for the Internet of Things (IoT). In this work, we examine the performance of LoRa in the presence of both additive white Gaussian noise and interference from another LoRa user. To this end, we extend an existing interference model, which assumes perfect alignment of the signal of interest and the interference, to the more realistic case where the interfering user is neither chip- nor phase-aligned with the signal of interest and we derive an expression for the error rate. We show that the existing aligned interference model overestimates the effect of interference on the error rate. Moreover, we prove two symmetries in the interfering signal and we derive low-complexity approximate formulas that can significantly reduce the complexity of computing the symbol and frame error rates compared to the complete expression. Finally, we provide numerical simulations to corroborate the theoretical analysis and to verify the accuracy of our proposed approximations.

Original languageEnglish
Article number8903531
Pages (from-to)1292-1304
Number of pages13
JournalIEEE Transactions on Wireless Communications
Issue number2
Publication statusPublished - Feb 2020


  • Chirp modulation
  • Error analysis
  • Internet of Things (IoT)
  • LoRa
  • Spread spectrum communication


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