AWSUM Filter Aided ADMM for Reverberation Suppression in Very Shallow Water

The water depth of very shallow water environment is much smaller than the that of a shallow water environment. The water depth of a typical very shallow water environment leads to a more severe interface scattering effect during the propagation of the sound wave, hence producing stronger sea-surface and bottom reverberation than those in shallow water environment. To address the reverberation suppression problem in the very shallow water environment, we propose advanced WISPR (Wagstaff's Integration Silencing Processor) summation (AWSUM) filter aided alternating direction method of multipliers (ADMM). The focus of this method is selecting feasible and reasonable approaches to suppress different reverberation components step by step. Firstly, we utilize ADMM to realize the low-rank and sparse matrix decomposition and then remove the low-rank matrix, and hence suppressing the bottom reverberation. Secondly, we employ the AWSUM filter to suppress the sea-surface reverberation, the volume reverberations and some residual of the bottom reverberation. Finally, we apply the hard thresholding operator to the output of AWSUM to suppress the weak reverberation around the target highlights. Compared to other robust principal component analysis (RPCA) methods and AWSUM Filter aided RPCA methods, the Bias of Integral Side Lobe Ratio (BISLR) of our method stabilizes at high value. This demonstrates the effectiveness of our method for reverberation suppression in the very shallow water environment.