Recent research works in passive Structural Health Monitoring (SHM) have been able to take advantage of ambient noise by cross-correlating raw data recorded by sensor array. For that, the acquired signals must be synchronized with respect to each other. In other words, it is essential to set up a common clock to make this method successful. This significantly complicates the electronic setup and prevents moving towards an autonomous and wireless control network. As common solution, we propose here a technique of resynchronization in post-processing based on the study of the symmetry of correlation functions according to the physical characteristics of the considered medium. An in-depth analysis is conducted on the performance of this method in less favourable scenarios. Theoretical developments and experimental tests are carried out with the aim of emphasizing the quality of defect location according to the accuracy of resynchronization.