Eigenvalue Decline Index of Correlation Matrix for Convergence Zone and Shadow Zone Discrimination in Deep Sea

Abstract

The propagation mode based on the convergence zone in the deep sea is an important method for long-distance detection. In order to effectively identify the deep-sea convergence area, this paper proposes a method for identifying the deep-sea convergence area and shadow area based on the correlation matrix eigenvalue decline index of the horizontal array. The eigenvalue decline index of the correlation matrix refers to the ratio of the maximum eigenvalue to the second largest eigenvalue of the receiving signal correlation matrix, which is calculated to characterize the oscillation properties of the correlation coefficient matrix. The index can effectively characterize the oscillation characteristics of the correlation matrix in convergence area and shadow area which can be used to convergence zone and shadow zone discrimination. Simulation experiments show that setting a reasonable threshold of the eigenvalue decline index can effectively distinguish the convergence area from the shadow area.