GNSS World of China

Volume 46 Issue 4
Aug.  2021
Turn off MathJax
Article Contents
LI Baojin, LI Yanyan. Combined method of wavelet and MPCA for high-rate GNSS signal denoising[J]. GNSS World of China, 2021, 46(4): 33-39. doi: 10.12265/j.gnss.2021020601
Citation: LI Baojin, LI Yanyan. Combined method of wavelet and MPCA for high-rate GNSS signal denoising[J]. GNSS World of China, 2021, 46(4): 33-39. doi: 10.12265/j.gnss.2021020601

Combined method of wavelet and MPCA for high-rate GNSS signal denoising

doi: 10.12265/j.gnss.2021020601
  • Received Date: 2021-02-06
    Available Online: 2021-08-12
  • In view of the problem that traditional principal component analysis (PCA) ignores the correlation between coordinate components of stations, a method combining wavelet denoising and multi-directional principal component analysis (WD-MPCA) is proposed, which makes up for the shortcomings of traditional PCA. Compared with empirical mode decomposition and principal component analysis (EMD-PCA) and wavelet denoising and principal component analysis (WD-PCA). The WD-MPCA combination method has the highest accuracy. After denoising by WD-MPCA combination method, the mean median error is 0.83 mm, 0.85 mm and 8.30 mm respectively, which is 81.14%, 81.91% and 40.37% lower than that of the original coordinate residual time series. The WD-MPCA combination method fully considers the correlation between different components of each station. It can effectively remove high-frequency random white noise (WN) and low-frequency colored noise (CN), which is of great significance to the practical application and theoretical development of high-frequency Global Navigation Satellite System (GNSS) technology.

     

  • loading
  • [1]
    BILICH A, CASSIDY J F, LARSON K M. GPS seismology: application to the 2002 MW 7.9 denali fault earthquake[J]. Bulletin of the seismological society of america, 2008, 98(2): 593-606. DOI: 10.1785/0120070096
    [2]
    殷海涛, 甘卫军, 肖根如, 等. 利用高频GPS技术进行强震地面运动监测的研究进展[J]. 地球物理学进展, 2009, 24(6): 2012-2019. DOI: 10.3969/j.issn.1004-2903.2009.06.011
    [3]
    熊永良, 黄丁发, 徐韶光, 等. 长距离动态GPS数据处理方法与汶川地震引起的动态地壳形变特征分析[J]. 武汉大学学报(信息科学版), 2010, 35(3): 265-269.
    [4]
    JI C, LARSON K M, TAN Y, et al. Slip history of the 2003 san simeon earthquake constrained by combining 1-Hz GPS, strong motion, and teleseismic data[J]. Geophysical research letters, 2004, 31(17): L17608. DOI: 10.1029/2004GL020448
    [5]
    李征航, 黄劲松. GPS测量与数据处理[M]. 武汉: 武汉大学出版社, 2013: 79-82.
    [6]
    戴吾蛟, 丁晓利, 朱建军, 等. 基于经验模式分解的滤波去噪法及其在GPS多路径效应中的应用[J]. 测绘学报, 2006, 35(4): 321-327. DOI: 10.3321/j.issn:1001-1595.2006.04.005
    [7]
    HUANG N E , 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 mathematical physical and engineering ences, 1998, 454(1971): 903-995. DOI: 10.1098/rspa.1998.0193
    [8]
    敖敏思, 胡友健, 赵斌, 等. PCA和KLE在高采样率GPS定位中的应用[J]. 大地测量与地球动力学, 2011, 31(6): 145-150.
    [9]
    ABDI H, WILLIAMS L J. Principal component analysis[J]. Wiley interdisciplinary reviews: computational statistics, 2010, 2(4): 433-459. DOI: 10.1002/wics.101
    [10]
    WDOWINSKI S, BOCK Y, ZHANG J, et al. Southern california permanent GPS geodetic array: spatial filtering of daily positions for estimating coseismic and postseismic displacements induced by the 1992 landers earthquake[J]. Journal of geophysical research solid earth, 1997, 1021(B8): 18057-18070. DOI: 10.1029/97JB01378
    [11]
    LARSON K M, BILICH A, AXELRAD P. Improving the precision of high-rate GPS[J]. Journal of geophysical research, 2007, 112(B5): B05422. DOI: 10.1029/2006JB004367.2007
    [12]
    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.
    [13]
    TUCKER L R. Implications of factor analysis of three-way matrices for measurement of change[J/OL]. [2021-02-03]. Problems in measuring change, 1963: 122-137. http://collections.uakron.edu/digital/collection/p15960coll1/id/21916
    [14]
    张昊楠, 匡翠林, 卢辰龙, 等. 基于小波滤波和PCA组合的多路径改正方法[J]. 大地测量与地球动力学, 2013, 44(4): 137-141.
    [15]
    卢辰龙, 匡翠林, 张昊楠, 等. 组合EMD和PCA的多路径改正方法[J]. 工程勘察, 2014, 42(5): 58-62.
    [16]
    MANDELBROT B B, VAN NESS J W. Fractional brownian motions, fractional noises and applications[J]. Siam review, 1968, 10(4): 422-437. DOI: 10.1137/1010093
    [17]
    MONTILLET J P, TREGONING P, MCCLUSKY S, et al. Extracting white noise statistics in GPS coordinate time series[J]. IEEE geoence and remote sensing letters, 2013, 10(3): 563-567. DOI: 10.1109/LGRS.2012.2213576
    [18]
    REA W, OXLEY L, REALE M, et al. Estimators for long-range dependence: an empirical study[J/OL]. [2021-02-10]. Electronic journal of statistics, 2009. https://www.i-journals.org/ejs/
    [19]
    冯宝红, 葛义强. 基于小波降噪的GPS基线解算方法[J]. 南京工业大学学报(自然科学版), 2015, 37(3): 79-84.
    [20]
    郭秋英, 胡振琪. 基于小波变换的GPS快速精密定位[J]. 煤炭学报, 2007, 32(11): 1179-1182. DOI: 10.3321/j.issn:0253-9993.2007.11.013
    [21]
    DONG D, FANG P, BOCK Y, et al. Spatiotemporal filtering using principal component analysis and karhunen-loeve expansion approaches for regional GPS network analysis[J]. Journal of geophysical research, 2006, 111(B3): B03405. DOI: 10.1029/2005JB003806
    [22]
    CHOI K, BILICH A, LARSON K M, et al. Modified sidereal filtering: implications for high-rate GPS positioning[J]. Geophysical research letters, 2004, 31(22): L22608. DOI: 10.1029/2004GL021621,2004
    [23]
    WILLIAMS S D P, BOCK Y, FANG P, et al. Error analysis of continuous GPS position time series[J]. Journal of geophysical research: solid earth, 2004, 109(B3): B03412. DOI: 10.1029/2003BJ002741
  • 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(6)  / Tables(1)

    Article Metrics

    Article views (493) PDF downloads(31) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return