Signal matching with modified edit distance based on aperiodic coding

Nowadays, the application of active detection technology becomes more and more widespread. It is required to separate the transmitter and receiver. To achieve such separation, synchronization between the transmitted and received signals is necessary. A common matching method is to send a synchronization signal, which requires additional channels. Or it can be implemented through protocols, such as using starting bits, which fails when part of the signal is lost or submerged by noise. In this paper we propose a new matching protocol using aperiodic coding and modified edit distance, which requires less data storage and may be easily integrated into the detector. The method is verified within a ghost imaging system, with separated transmitter and receiver. Even if the echo intensity is as low as the level of few photons, it still works well.