4.8 Article

On the LoRa Modulation for IoT: Waveform Properties and Spectral Analysis

期刊

IEEE INTERNET OF THINGS JOURNAL
卷 6, 期 5, 页码 8463-8470

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JIOT.2019.2919151

关键词

Digital modulation; Internet of Things (IoT); low power long range (LoRa) modulation; power spectral density

资金

  1. Ministero dell'Istruzione, dell'Universita e della Ricerca through the program Dipartimenti di Eccellenza [2018-2022]
  2. EU Project eCircular (EIT Climate-KIC)

向作者/读者索取更多资源

An important modulation technique for Internet of Things (IoT) is the one proposed by the low power long range (LoRa) alliance. In this paper, we analyze the M-ary LoRa modulation in the time and frequency domains. First, we provide the signal description in the time domain, and show that LoRa is a memoryless continuous phase modulation. The cross-correlation between the transmitted waveforms is determined, proving that LoRa can be considered approximately an orthogonal modulation only for large M. Then, we investigate the spectral characteristics of the signal modulated by random data, obtaining a closed-form expression of the spectrum in terms of Fresnel functions. Quite surprisingly, we found that LoRa has both continuous and discrete spectra, with the discrete spectrum containing exactly a fraction 1/M of the total signal power.

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