Maximum likelihood synchronization algorithm correction for photon-counting communications with blocking loss

To realize deep space optical communications with high capacity and sensitivity, synchronization of pulse-position modulation (PPM) signals is crucial. In this study, the maximum likelihood synchronization algorithm based on inter-symbol guard times was generalized to the scenario with strong blockage of single-photon detectors, where higher PPM slot frequency and signal-noise ratio could be adopted. Furthermore, a slot frequency offset compensation method was proposed, and simulations and experiments were performed to verify the performance improvement of the proposed corrected synchronization algorithm under blockage. The results indicated that the deadtime-corrected synchronization scheme could effectively overcome the performance degradation of the original model under high photon flux, provide estimation (0.02749 slots @ root-mean-square error) close to the Cramér-Rao Bound, and error rates close to ideal synchronization in the experiment.