GNSS World of China

Volume 49 Issue 2
Apr.  2024
Turn off MathJax
Article Contents
WEI Guanjun, ZHANG Pei, WANG Liyang. GNSS coordinate time series denoising analysis combined with weighted wavelet and EEMD[J]. GNSS World of China, 2024, 49(2): 9-15. doi: 10.12265/j.gnss.2023096
Citation: WEI Guanjun, ZHANG Pei, WANG Liyang. GNSS coordinate time series denoising analysis combined with weighted wavelet and EEMD[J]. GNSS World of China, 2024, 49(2): 9-15. doi: 10.12265/j.gnss.2023096

GNSS coordinate time series denoising analysis combined with weighted wavelet and EEMD

doi: 10.12265/j.gnss.2023096
  • Received Date: 2023-04-28
    Available Online: 2024-03-26
  • Aiming at the problem that it is difficult to accurately separate the useful signal and noise in the GNSS coordinate time series, this paper proposes a noise reduction method based on combined weighted wavelet Z-transform (WWZ) and set empirical mode decomposition (EEMD). Through the noise reduction processing of the vertical coordinate time series of 70 continuous stations in the northwest region, the root mean square error (RMSE), signal-to-noise ratio (SNR), flicker noise (FN) amplitude and velocity uncertainty are used as the evaluation indicators respectively, which verifies that the noise reduction effect of the method in this paper is superior to wavelet noise reduction and EEMD noise reduction to a certain extent. The results show that compared with wavelet denoising and EEMD denoising, the RMSE of signal sequence after denoising is reduced by 0.331 mm and 0.757 mm respectively, and the SNR is increased by 1.911 dB and 3.635 dB respectively; The uncertainty of FN amplitude and velocity has been significantly improved, which verifies the effectiveness of the noise reduction method in this paper.

     

  • loading
  • [1]
    陈祥, 杨志强, 田镇, 等. GA-VMD与多尺度排列熵结合的GNSS坐标时序降噪方法[J]. 武汉大学学报(信息科学版), 2023, 48(9): 1425-1434.
    [2]
    李昭, 姜卫平, 刘鸿飞, 等. 中国区域IGS基准站坐标时间序列噪声模型建立与分析[J]. 测绘学报, 2012, 41(4): 496-503.
    [3]
    张恒璟, 龙安森, 文汉江. EEMDAN的CORS站高程时间序列分析方法[J]. 测绘科学, 2020, 45(2): 29-34.
    [4]
    戴海亮, 孙付平, 姜卫平, 等. 小波多尺度分解和奇异谱分析在GNSS站坐标时间序列分析中的应用[J]. 武汉大学学报(信息科学版), 2021, 46(3): 371-380.
    [5]
    姜卫平, 王锴华, 李昭, 等. GNSS坐标时间序列分析理论与方法及展望[J]. 武汉大学学报(信息科学版), 2018, 43(12): 2112-2123.
    [6]
    张双成, 何月帆, 李振宇, 等. EMD用于GPS时间序列降噪分析[J]. 大地测量与地球动力学, 2017, 37(12): 1248-1252.
    [7]
    马俊, 曹成度, 姜卫平, 等. 利用小波包系数信息熵去除GNSS站坐标时间序列有色噪声[J]. 武汉大学学报(信息科学版), 2021, 46(9): 1309-1317.
    [8]
    JI K P, SHEN Y Z, WANG F W. Signal extraction from GNSS position time series using weighted wavelet analysis[J]. Remote sensing, 2020, 12(6): 992. DOI: 10.3390/rs12060992
    [9]
    WU Z H, HUANG N. Ensemble empirical mode decomposition: a noise-assisted data analysis method[J]. Advances in adaptive data analysis, 2009, 1(1): 1-41. DOI: 10.1142/S1793536909000047
    [10]
    张恒璟, 程鹏飞. 基于经验模式分解的CORS站高程时间序列分析[J]. 大地测量与地球动力学, 2012, 32(3): 129-134.
    [11]
    范小猛, 胡川, 张重阳, 等. 三种GNSS高程时序降噪方法的效果对比分析[J]. 全球定位系统, 2022, 47(1): 68-73.
    [12]
    HUANG N, SHEN Z, LONG S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J]. Proceedings of the royal society A, 1998, 454(1971): 903-995. DOI: 10.1098/rspa.1998.0193
    [13]
    黄立人. GPS基准站坐标分量时间序列的噪声特性分析[J]. 大地测量与地球动力学, 2006, 26(2): 31-33,38.
    [14]
    SHUMWAY R, STOFFER D S. An apprpach to time series smoothing and forecasting using the EM algorithm[J]. Journal of time series analysis, 1982, 3(4): 253-264. DOI: 10.1111/J.1467-9892.1982.TB00349.X
    [15]
    王健, 许安安, 周伯烨. 顾及共模误差的大区域GPS网坐标时间序列噪声分析[J]. 测绘通报, 2018(4): 6-9,56.
    [16]
    殷海涛, 甘卫军, 熊永良, 等. PCA空间滤波在高频GPS定位中的应用研究[J]. 武汉大学学报(信息科学版), 2011, 36(7): 825-829.
    [17]
    邱小梦, 陶国强, 王奉伟, 等. LMD和小波阈值的GNSS坐标时间序列降噪应用[J]. 测绘科学, 2021, 46(8): 28-32,48.
    [18]
    杨兵, 杨志强, 田镇, 等. 联合EMD-HD和小波分解的GNSS坐标时间序列降噪分析[J]. 测绘学报, 2022, 51(9): 1881-1889.
  • 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(5)  / Tables(4)

    Article Metrics

    Article views (170) PDF downloads(16) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return