Robust Source Localization in Shallow Sea Used SOCP

This paper introduces a robust source localization technique in shallow sea, which makes utilize of the SOCP (Second-Order Cone Program) concept. In our method, the uncertainty or variation in the underwater channel has been explicitly taken into account. Sources of this uncertainty or variation include imprecise knowledge of the sea depth, the boundary reflection coefficient and so on in the shallow sea. The source vector errors are explicitly modeled via a sphere set which contains all the possible values of the array manifold. If the sphere becomes a single point, the proposed method will turn into the classical MVDR (Minimum Variance Distortionless Response) method. Numerical example demonstrates that in the multipath underwater channel, our proposed robust source localization method can perform well.