Canonical correlation analysis as a statistical method to relate underwater acoustic propagation and ocean fluctuations.

Numerical models are currently used to understand how environmental fluctuations impact acoustic propagation. Such a process can be tedious in complex fluctuating environments. This letter proposes a complementary approach based upon canonical correlation analysis (CCA) to determine statistical relationships between two sets of observed acoustic and oceanographic variables. It is shown, as an example, how CCA puts forward the impact of external and internal tide on shallow water propagation. Results are consistent with the physical understanding of tide impact on acoustic propagation. They encourage the use of CCA for complex studies, in particular, for environments fluctuating under several environmental phenomena.

Sub-antenna processing for coherence loss in underwater direction of arrival estimation.

This paper deals with the loss of coherence in underwater direction-of-arrival estimation. The coherence loss, which typically arises from dynamical ocean fluctuations and unknown environmental parameters, may take the form of a multiplicative colored random noise applied to the measured acoustic signal. This specific multiplicative noise needs to be addressed with methodological developments. This paper proposes a weighting process that locally mitigates the effects of the coherence loss. More specially, a set of coherent sub-antennas is designed from the so-called Mutual Coherence Function (MCF). The assessed source position results from the combination of each sub-antenna by using a mixed norm. Two experiments are considered in the paper: either a random noise is sampled to simulate the effect of random ocean fluctuations, or a synthetic acoustic waveguide is used in which the coherence loss is due to some multipath interferences. It is shown that the weighting process allows for a decrease in the estimation error in comparison to a Conventional Beamformer (CB).

Reference-less measurement of the transmission matrix of a highly scattering material using a DMD and phase retrieval techniques.

This paper investigates experimental means of measuring the transmission matrix (TM) of a highly scattering medium, with the simplest optical setup. Spatial light modulation is performed by a digital micromirror device (DMD), allowing high rates and high pixel counts but only binary amplitude modulation. On the sensor side, without a reference beam, the CCD camera provides only intensity measurements. Within this framework, this paper shows that the TM can still be retrieved, through signal processing techniques of phase retrieval. This is experimentally validated on three criteria : quality of prediction, distribution of singular values, and quality of focusing.