Probability of signal demodulation jump errors in the maximum-likelihood-estimation algorithm for a low SNR interference spectrum.

When the signal-to-noise ratio (SNR) of an optical fiber sensor is lower than a specific value, jump errors will appear in the maximum-likelihood-estimation (MLE) algorithm. This research proposes a quantitative calculation method based on the MLE algorithm. This method can calculate the probability of jump errors by different SNRs. The SNR threshold can also be obtained in the MLE algorithm for the low-finesse interference spectrum. From the simulation, we find that when the SNR varies from 0 dB to 25 dB, the possibility of jump errors decreases exponentially. Subsequent experiments also verify the correctness of the simulation results.