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利用LMD-SVD方法进行GNSS坐标时间序列降噪

龚旭峥 汪香梅 王凯时

地理空间信息2024,Vol.22Issue(3):43-46,4.
地理空间信息2024,Vol.22Issue(3):43-46,4.

利用LMD-SVD方法进行GNSS坐标时间序列降噪

GNSS Coordinate Time Series Denoising Based on LMD-SVD Method

龚旭峥 1汪香梅 2王凯时1

作者信息

  • 1. 浙江省测绘科学技术研究院,浙江 杭州 310023
  • 2. 开化县资源规划数据中心,浙江 衢州 324300
  • 折叠

摘要

Abstract

In order to reduce the impact of noise on GNSS coordinate time series and effectively extract useful information in time series,based on local mean decomposition(LMD)denoising method,we introduced singular value decomposition(SVD)method to establish a LMD-SVD combined denoising method.Firstly,we decomposed the time series into several production functions(PF)and residual by LMD method,and PF could reflect the time-frequency distribution characteristics of time series.Then,we determined the dividing point between high-frequency compo-nent and low-frequency component by continuous root mean square error method.Finally,we reconstructed the high-frequency component,low-frequency component and residual after denoising by SVD method to obtain the final denoising result.We used the U-direction coordinate time series of five GNSS stations to verify this method.The results show that compared with the single LMD method,the signal-to-noise ratio and correlation coefficient of results of this method are increased by 34.28%and 17.11%respectively,the root mean square error is reduced by 51.31%,and the noise reduction effect is better.

关键词

LMD/SVD/时间序列/PF/降噪

Key words

LMD/SVD/time series/PF/denoising

分类

天文与地球科学

引用本文复制引用

龚旭峥,汪香梅,王凯时..利用LMD-SVD方法进行GNSS坐标时间序列降噪[J].地理空间信息,2024,22(3):43-46,4.

基金项目

浙江省自然资源厅2022年度科技资助项目(2022-54). (2022-54)

地理空间信息

OACSTPCD

1672-4623

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