基于ICEEMDAN与环境负载的GNSS坐标时序非线性形变去除

Time series nonlinear deformation removal of GNSS coordinates based on ICEEMDAN and environmental load

  • 摘要: 非线性形变影响全球卫星导航系统(GNSS)坐标时序精度. 采用改进的自适应噪声总体集合经验模态分解(ICEEMDAN)和环境负载改正相结合的方法开展GNSS测站非线性形变去除研究. 首先使用GMIS软件将GNSS坐标时序补充完整并去除粗差,然后使用ICEEMDAN方法对GNSS坐标时序进行分解,使用排列熵算法选取包含噪声和非线性形变的高频分量,最后使用环境负载对高频分量进行去除,利用经验模态分解(EMD)方法和环境负载结合的方法进行去除效果对比. 研究结果表明:非线性形变去除后的GNSS坐标时序均方根(RMS)变化各有区别,垂向(U)方向最为明显,最大值达6.715 mm,东(E)方向次之,北(N)方向最小;ICEEMDAN方法和环境负载改正结合后N方向的非线性形变全部得到了削弱,E方向的非线性形变有75%得到了削弱,U方向的非线性形变有62.5%得到了削弱,其改正效果优于EMD方法和环境负载结合的改正效果.

     

    Abstract: Nonlinear deformation affects Global Navigation Satellite System (GNSS) coordinate timing accuracy. In this paper, improved complete ensemble empirical mode decomposition with adaptive noise (ICEEMDAN) method and environmental load correction are combined to study the nonlinear deformation removal of GNSS stations. Firstly, use GMIS software to complete the GNSS coordinate timing and remove the gross error. Then use ICEEMDAN method to decompose the GNSS coordinate timing, and use the permutation entropy algorithm to select the high frequency components containing noise and nonlinear deformation. Finally, the environmental load is used to remove the high-frequency components, and the removal effect is compared with the empirical mode decomposition (EMD) method and the environmental load method. The research results show that the root mean squared (RMS) of GNSS coordinate time series after nonlinear deformation removal changes different, and the up (U) direction is the most obvious, with the maximum value of 6.715 mm, followed by the E direction and the north (N) direction. After combining ICEEMDAN met-hod and environmental load,the nonlinear deformation in N direction was weakened 75% of the nonlinear deformation in east (E) direction was weakened, and 62.5% of the nonlinear deformation in U direction was weakened. The correction effect was better than the combination of EMD method and environmental load.

     

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