GNSS World of China

Volume 48 Issue 6
Dec.  2023
Turn off MathJax
Article Contents
GAO Wei, LU Guorui. Research on fractal interpolation of gravity anomaly random field for underwater aided navigation[J]. GNSS World of China, 2023, 48(6): 27-31. doi: 10.12265/j.gnss.2023132
Citation: GAO Wei, LU Guorui. Research on fractal interpolation of gravity anomaly random field for underwater aided navigation[J]. GNSS World of China, 2023, 48(6): 27-31. doi: 10.12265/j.gnss.2023132

Research on fractal interpolation of gravity anomaly random field for underwater aided navigation

doi: 10.12265/j.gnss.2023132
  • Received Date: 2023-07-04
  • Accepted Date: 2023-07-04
  • Available Online: 2023-12-12
  • For areas with scarce gravity anomaly data, this paper proposes to use fractal Brownian motion (FBM) fractal interpolation method to reconstruct the gravity anomaly random field, achieving the generation of gravity anomaly reference maps that can be used for underwater gravity assisted navigation. The experimental results indicate that the fractal interpolation method is feasible as a rough interpolation method and can provide theoretical reference for the implementation of underwater gravity assisted navigation systems.

     

  • loading
  • [1]
    郑伟, 付滕达, 李钊伟, 等. 潜器水下重力匹配导航研究进展[J]. 科学技术与工程, 2022, 22(18): 7721-7734. DOI: 10.3969/j.issn.1671-1815.2022.18.001
    [2]
    LI D, XU J N, HE H Y, et al. An underwater integrated navigation algorithm to deal with DVL malfunctions based on deep learning[J]. IEEE access, 2021, 9(1): 82010-82020. DOI: 10.1109/ACCESS.2021.3083493
    [3]
    MU X K, HE B, WU S Y, et al. A practical INS/GPS/DVL/PS integrated navigation algorithm and its application on autonomous underwater vehicle[J]. Applied ocean research, 2021, 106(1): 102441. DOI: 10.1016/J.APOR.2020.102441
    [4]
    WANG C L, WANG B, DENG Z H, et al. A delaunay triangulation based matching area selection algorithm for underwater gravity-aided inertial navigation[J]. IEEE/ASME transactions on mechatronics, 2021, 26(2): 908-917. DOI: 10.1109/tmech.2020.3012499
    [5]
    黄玉龙, 张勇刚, 赵玉新. 自主水下航行器导航方法综述[J]. 水下无人系统学报, 2019, 27(3): 232-253. DOI: 10.11993/j.issn.2096-3920.2019.03.002
    [6]
    张胜军, 李建成, 孔祥雪. 基于Laplace方程的垂线偏差法反演全球海域重力异常[J]. 测绘学报, 2020, 49(4): 452-460. DOI: 10.11947/j.AGCS.2020.20190108
    [7]
    冯浩. 未来水下重力辅助惯性导航微系统中的理论、模型和仿真研究[D]. 北京: 北京邮电大学, 2004.
    [8]
    罗孝宽, 郭绍雍. 应用地球物理教程—重力磁法[M]. 北京: 地质出版社, 1991.
    [9]
    HAN Y, WANG B, DENG Z, et al. A combined matching algorithm for underwater gravity aided navigation[J]. IEEE/ASME transactions on mechatronics, 2018, 23(1): 233-241. DOI: 10.1109/tmech.2017.2774296
    [10]
    张育林, 王兆魁, 刘红卫. 地球重力场天基测量理论及其内编队实现方法[M]. 北京: 科学出版社, 2018: 156-162.
    [11]
    陈俊勇, 文双江, 程鹏飞. 中国大地测量科学发展的若干问题[J]. 地球科学进展, 2001(5): 681-688,9. DOI: 10.3321/j.issn:1001-8166.2001.05.012
    [12]
    陈秋杰, 沈云中, 张兴福, 等. 基于GRACE卫星数据的高精度全球静态重力场模型[J]. 测绘学报, 2016, 45(4): 396-403. DOI: 10.11947/j.AGCS.2016.20150422
    [13]
    丁剑, 许厚泽, 章传银. 基于大地水准面经典定义的地球重力场模型评价[J]. 中国科学院大学学报, 2016, 33(4): 528-536. DOI: 10.7523/j.issn.2095-6134.2016.04.014
    [14]
    AFFLECK C A, JIRCITANO A. Passive gravity gradiometer navigation system[C]//IEEE Symposium on Position, Location and Navigation. Las Vegas, USA, 1990: 60-66. DOI: 10.1109/PLANS.1990.66158
    [15]
    DOSCH D, JIRCITANO A. Gravity aided inertial navigation system (GAINS): US19910805544[P]. 1994-08-23.
    [16]
    李正心. 重力场变化与地震[M]. 北京: 科学出版社, 2020: 34-45.
    [17]
    王凯, 张传定, 吴星, 等. 地形/均衡重力场模型构制及其拟稳分析[J]. 地球物理学报, 2014, 57(3): 760-769. DOI: 10.6038/cjg20140307
    [18]
    徐翰, 周强波. 卫星重力梯度数据重力异常的精度分析[J]. 测绘科学, 2016, 41(11): 17-24. DOI: 10.16251/j.cnki.1009-2307.2016.11.004
    [19]
    闫利, 吴华玲. 重力场基准图的多尺度分析研究[J]. 测绘通报, 2009(2): 10-13.
    [20]
    徐遵义, 姜玉祥, 赵亮, 等. 改进的Shepard算法及其在重力异常插值中的应用[J]. 武汉大学学报(信息科学版), 2010, 35(4): 477-480.
    [21]
    杨金玉, 张训华, 张菲菲, 等. 应用多种来源重力异常编制中国海陆及邻区空间重力异常图及重力场解读[J]. 地球物理学报, 2014, 57(12): 3920-3931. DOI: 10.6038/cjg20141206
    [22]
    聂琳娟, 超能芳, 金涛勇, 等. 卫星测高反演海洋重力异常的精度分析[J]. 测绘科学, 2016, 41(9): 1-6,37. DOI: 10.16251/j.cnki.1009-2307.2016.09.001
    [23]
    潘宗鹏, 王伟祖, 安然. 多源重力场信息融合处理方法[J]. 测绘科学技术学报, 2013, 30(3): 236-240. DOI: 10.3969/j.issn.1673-6338.2013.03.005
    [24]
    齐东旭. 分形及其计算机生成[M]. 北京: 科学出版社, 1994.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(7)  / Tables(3)

    Article Metrics

    Article views (202) PDF downloads(25) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return