Bulletin of Surveying and Mapping ›› 2022, Vol. 0 ›› Issue (2): 78-82.doi: 10.13474/j.cnki.11-2246.2022.0047

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Denoising method of GNSS station coordinate time series based on LMD and EMD

XIONG Changliang1,2, HE Xiaoxing3, MA Xiaping4, FU Jie5   

  1. 1. Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430077, China;
    2. University of the Chinese Academy of Science, Beijing 100049, China;
    3. College of Architecture and Surveying Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, China;
    4. College of Geomatics, Xi'an University of Science and Technology, Xi'an 710054, China;
    5. School of Civil Engineer and Architecture, East China Jiaotong University, Nanchang 330013, China
  • Received:2021-02-28 Revised:2021-05-21 Published:2022-03-11

Abstract: Aiming at the problem that the signal and noise of GNSS station coordinate time series is hard to separate, based on the traditional EMD denoising method, a new method of coordinate time series denoising combining LMD and EMD is proposed. This method first uses LMD to decompose the original coordinate time series, separates high-frequency noise and low-frequency signals based on the principle of consecutive mean square error(CMSE), keeps the low-frequency components unchanged, and then performs EMD denoising on the high-frequency components. Finally, the sum of the low-frequency signals obtained by the two decompositions is the time series after denoising. Experiments are carried out with simulation data and measured data from 8 GNSS reference stations, and the accuracy is evaluated through a variety of evaluation indicators. The results show that the combined LMD and EMD method can remove the noise in coordinate time series more accurately than the traditional EMD method.

Key words: global navigation satellite system, coordinate time series, local mean decomposition, empirical mode decomposition, denoising analysis

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