Compensation of position offset of acoustic transducers using compressive sensing concept

This paper presents a new technique for acoustic transducers position offset compensation, based on compressive sensing reconstruction in the warped domain. In underwater acoustics, the transducers relative position is important for applications involving direction of arrival estimation, localization or source detection. When the transmitter-receiver transducers configuration is inappropriate, the received signal's informational content is not the same as the one of the emitted signal. In the case of applications such as underwater objects tracking, the experimental setup constraints and the water flow operational conditions lead to the perturbation of the emitted and received signals propagation. We use compressive sensing reconstruction of the received signal, in the warped domain, in order to recover its missing spectral information due to wave's propagation. Tests were conducted in a reduced scale experimental facility, in order to prove the interest of using the signal compressive sensing recovery for the signal's time of arrival estimation and to quantify the improvement introduced by this signal processing method. The results show that the time of arrival estimation can be considerably improved after the received signal's samples recovery, with the matched filter response improvement.