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第 42 卷 第 3 期                                                                       Vol. 42, No. 3
             2023 年 5 月                          Journal of Applied Acoustics                      May, 2023

             ⋄ 研究报告 ⋄



             基于最小Csiszár’s I-散度的高精度深度定位方法                                                                  ∗





                                   袁 笑 徐 铭           †   谢世伟 高子聪 苟欣迪


                                           (中国海洋大学信息科学与工程学部          青岛   266100)

                摘要：模态波束形成技术可用于水下目标定位，在深度定位方面，其定位精度 (百米量级) 往往不能满足实际
                需求，因此，高精度的深度定位方法需要被探索。传统高精度估计方法，如最小方差无畸变响应，面临着许多问
                题，如需要大量的快拍样本数等。最小 Csiszár’s I-散度的迭代算法可以解决线性系统的求逆问题，但需满足系
                统的非负性条件，在图像的去模糊领域已得到广泛应用。该文将此算法和模态波束形成技术相结合，提出了一
                种新的高精度深度定位方法。基于 SWellEx-96 实验的海洋环境参数，分别用仿真和实验数据验证了该方法的
                以下性能：实现深度的高精度定位且抑制旁瓣能量；在小快拍数的情况下，深度定位性能良好。
                关键词：模态波束形成；Csiszár’s I-散度；非负性条件；深度定位
                中图法分类号: TB566           文献标识码: A          文章编号: 1000-310X(2023)03-0483-10
                DOI: 10.11684/j.issn.1000-310X.2023.03.005




                The method for high-resolution source depth localization based on minimum

                                                Csiszár’s I- divergence



                             YUAN Xiao     XU Ming    XIE Shiwei    GAO Zicong    GOU Xindi

                       (Faculty of Information Science and Engineering, Ocean university of China, Qingdao 266100, China)

                 Abstract: Modal beamforming technique is used for target localization. In terms of depth localization, its
                 estimation accuracy (hundreds of meters) often can not meet the actual demand. Therefore, high-resolution
                 depth localization methods need to be explored. Traditional high-resolution methods, such as minimum vari-
                 ance distortionless response (MVDR), are faced with many problems, such as the need for a large number of
                 snapshots and so on. The iterative algorithm of minimum Csiszár’s I-Divergence can solve the inverse problem
                 of linear systems, but it needs to satisfy the nonnegative condition of the system, and has been widely used
                 in the field of image deblurring. In this paper, a new high-resolution depth location method is proposed by
                 combining the algorithm with modal beamforming technology. Based on the ocean environmental parameters
                 of SWellex-96 experiment, the performance of the proposed method is verified by simulation and experimental
                 data respectively: it not only retains the robustness of conventional beamforming method, but also achieves
                 the high-resolution localization; in the case of small number of snapshots, the depth localization performance
                 is good.
                 Keywords: Modal beamforming; Csiszár’s I-divergence; Nonnegative condition; Depth localization


             2022-02-01 收稿; 2022-04-14 定稿
             国家自然科学基金项目 (61827810)
             ∗
             作者简介: 袁笑 (1997– ), 男, 江西九江人, 硕士研究生, 研究方向: 水下目标定位。
             † 通信作者 E-mail: mingxu@ouc.edu.cn
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