测绘学报 ›› 2026, Vol. 55 ›› Issue (3): 515-524.doi: 10.11947/j.AGCS.2026.20250356

• 海洋测绘 • 上一篇    下一篇

海洋声学导航开窗抗差最小二乘估计

卞加超1(), 薛树强1(), 赵爽2, 朱冀星1, 高金来1, 李保金2   

  1. 1.中国测绘科学研究院空间基准全国重点实验室,北京 100036
    2.中国石油大学(华东),山东 青岛 266580
  • 收稿日期:2025-09-01 修回日期:2026-03-05 出版日期:2026-04-16 发布日期:2026-04-16
  • 通讯作者: 薛树强 E-mail:bjc0539@163.com;xuesq@casm.ac.cn
  • 作者简介:卞加超(2000—),男,硕士,研究方向为海洋声学导航。E-mail:bjc0539@163.com
  • 基金资助:
    国家重点研发计划(2024YFB3909702);国家自然科学基金(42474014);崂山实验室项目(LSKJ202205100)

Multi-window joint robust estimation for marine acoustic navigation

Jiachao BIAN1(), Shuqiang XUE1(), Shuang ZHAO2, Jixing ZHU1, Jinlai GAO1, Baojin LI2   

  1. 1.State Key Laboratory of Spatial Datum, Chinese Academy of Surveying and Mapping, Beijing 100036, China
    2.China University of Petroleum (East China), Qingdao 266580, China
  • Received:2025-09-01 Revised:2026-03-05 Online:2026-04-16 Published:2026-04-16
  • Contact: Shuqiang XUE E-mail:bjc0539@163.com;xuesq@casm.ac.cn
  • About author:BIAN Jiachao (2000—), male, master, major in ocean acoustic navigation. E-mail: bjc0539@163.com
  • Supported by:
    The National Key Research and Development Program(2024YFB3909702);The National Natural Science Foundation of China(42474014);Laoshan Laboratory Project(LSKJ202205100)

摘要:

海洋声学导航通常采用主动式声呐获取载体与导航信标之间的往返信号传播时间,无法同时获取多信标声学观测,仅靠单历元声学观测难以实施声学观测质量控制。针对这一问题,本文提出了开窗抗差最小二乘估计算法,通过实施多窗口联合抗差策略,在窗口滑动过程中利用历史窗口内的观测质量信息动态构建抗差等价权,即新窗口内观测初始权采用其在多历史窗口内抗差等价权的均值,并利用载体轨迹模型预报信息对窗口内新增观测值的质量进行评估。试验结果表明:①在Huber、IGG Ⅱ与IGG Ⅲ抗差策略下,本文算法可有效抵御粗差影响,尤其是显著提升了窗口边缘杠杆观测的抗差效能;②本文算法可显著提升导航定位结果的精度和可靠性,抗差导航轨迹估计更为平滑、稳定。

关键词: 声学导航, 滑动窗口, 粗差探测, 抗差估计, IGG Ⅲ

Abstract:

Marine acoustic navigation typically employs active sonar to obtain the round-trip signal propagation time between the carrier and the navigation beacon. However, it cannot simultaneously acquire multi-beacon acoustic observations, and it is difficult to implement acoustic observation quality control solely relying on single-epoch acoustic observations. To address this issue, this paper proposes a windowed robust least squares estimation algorithm. By implementing a multi-window joint robustness strategy, the algorithm dynamically constructs robust equivalent weights using observation quality information within historical windows during the window sliding process. Specifically, the initial weights for observations in the new window are determined by taking the mean of the robust equivalent weights across multiple historical windows, and the quality of newly added observations within the window is evaluated using the carrier trajectory model prediction information. Experimental results show that: ① under Huber, IGG Ⅱ, and IGG Ⅲ robustness strategies, the proposed algorithm can effectively resist the impact of gross errors, especially significantly enhancing the robustness performance of lever observations at the edge of the window; ② the proposed algorithm can significantly improve the accuracy and reliability of navigation and positioning results, resulting in smoother and more stable robust navigation trajectory estimation.

Key words: acoustic navigation, sliding-window, outlier detection, robust estimation, IGG Ⅲ

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