Robust Source Localization in Shallow Water Based on Vector Optimization  

作　　者：宋海岩 时洁 刘伯胜 

机构地区：[1]School of Electrical and Information Engineering,Heilongjiang Institute of Technology [2]Science and Technology on Underwater Acoustic Laboratory,Harbin Engineering University [3]College of Underwater Acoustic Engineering,Harbin Engineering University

出　　处：《China Ocean Engineering》2013年第3期379-390,共12页中国海洋工程（英文版）

基　　金：This Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.20122304120011);the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No.HEUCFR1119)

摘　　要：Owing to the multipath effect, the source localization in shallow water has been an area of active interest. However, most methods for source localization in shallow water are sensitive to the assumed model of the underwater environment and have poor robustness against the underwater channel uncertainty, which limit their further application in practical engineering. In this paper, a new method of source localization in shallow water, based on vector optimization concept, is described, which is highly robust against environmental factors affecting the localization, such as the channel depth, the bottom reflection coefficients, and so on. Through constructing the uncertainty set of the source vector errors and extracting the multi-path sound rays from the sea surface and bottom, the proposed method can accurately localize one or more sources in shallow water dominated by multipath propagation. It turns out that the natural formulation of our approach involves minimization of two quadratic functions subject to infinitely many nonconvex quadratic constraints. It shows that this problem （originally intractable） can be reformulated in a convex form as the so-called second-order cone program （SOCP） and solved efficiently by using the well-established interior point method, such as the sottware tool, SeDuMi. Computer simulations show better performance of the proposed method as compared with existing algorithms and establish a theoretical foundation for the practical engineering application.Owing to the multipath effect, the source localization in shallow water has been an area of active interest. However, most methods for source localization in shallow water are sensitive to the assumed model of the underwater environment and have poor robustness against the underwater channel uncertainty, which limit their further application in practical engineering. In this paper, a new method of source localization in shallow water, based on vector optimization concept, is described, which is highly robust against environmental factors affecting the localization, such as the channel depth, the bottom reflection coefficients, and so on. Through constructing the uncertainty set of the source vector errors and extracting the multi-path sound rays from the sea surface and bottom, the proposed method can accurately localize one or more sources in shallow water dominated by multipath propagation. It turns out that the natural formulation of our approach involves minimization of two quadratic functions subject to infinitely many nonconvex quadratic constraints. It shows that this problem （originally intractable） can be reformulated in a convex form as the so-called second-order cone program （SOCP） and solved efficiently by using the well-established interior point method, such as the sottware tool, SeDuMi. Computer simulations show better performance of the proposed method as compared with existing algorithms and establish a theoretical foundation for the practical engineering application.

关 键 词：source localization in shallow water ROBUST HIGH-RESOLUTION vector optimization second-order coneprogramming 

分 类 号：U666.7[交通运输工程—船舶及航道工程]