Acoustic detection improvement by phase study of the analytical cross-correlation signal

In this paper, we propose a test of hypothesis improvement, by phase study of the analytical cross-correlation function in acoustical detection application. Robustness of false alarms probability for the Time Of Arrival (TOA) estimation represents the goal of the proposed method. After signal detection, TOA will be used to localize one receiver, thanks to a grid of transmitters (more than 3), thanks to the knowledge of positions and transmissions times. The presented method is based on a priori information of the researched signal, forming the correlation signal shape (duration and bandwidth). Knowing the auto-correlation peak shape, we will estimate a range with the cross-correlation peak, and deduce if the detected peak corresponds to the researched signal or to a strong noise.