Frame Error Rate Approximations in Coded LoRa Systems

In this study, we consider the approximations for calculating the frame error rate (FER) of a communication system using the coded low power long range (LoRa) modulation for the additive white Gaussian noise (AWGN) channel. The discrete-time baseband model of the LoRa communication system encompasses the (7,4) Hamming encoder, a diagonal interleaver, a Gray encoder, and the LoRa baseband modulator. Two FER approximations using a tighter uncoded symbol error rate (SER) bound are derived. The derived approximations are compared against the numerical evaluation of the FER in Monte Carlo trials and the state-of-art FER approximations. Numerical results show that the proposed FER approximations are tighter.