Modified sources number estimation methods of the acoustic vector hydrophone array based on Gerschgorin disk criterion

The sources number estimation methods of the acoustic vector hydrophone array based on Gerschgorin disk criterion (VGDE) are analyzed in this paper. Since the success detection signal to noise ratio of the original VGDE method is relatively high, the compressed radius VGDE approach (CR-VGDE) and the modified CR-VGDE approach (MCR-VGDE) are proposed to reduce the detectable signal to noise ratio and improve detection performance of the acoustic vector hydrophone array. The radius of Gerschgorin disks are weighted and the Gerschgorin disks are compressed in the CR-VGDE approach, therefore, the signal Gerschgorin disks and noise Gerschgorin disks are further separated in the weighted compression process, which improves the detection performance of the acoustic vector hydrophone array. As the adjustment factor need to be set manually in the CR-VGDE method, a design approach of the dynamic adjustment factor is presented in the MCR-VGDE method. Simulation results indicate the detectable signal to noise ratio of the two modified processing approaches are lower than that of the original VGDE approach.