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In this work, we study the coded frame error rate (FER) of LoRa underadditive white Gaussian noise (AWGN) and under carrier frequency offset (CFO).To this end, we use existing approximations for the bit error rate (BER) of theLoRa modulation under AWGN and we present a FER analysis that includes thechannel coding, interleaving, and Gray mapping of the LoRa physical layer. Wealso derive the LoRa BER under carrier frequency offset and we present acorresponding FER analysis. We compare the derived frame error rate expressionsto Monte Carlo simulations to verify their accuracy.

Coded LoRa Frame Error Rate Analysis