顾及噪声项的连续运行参考站高程建模方法A modeling method for the height of reference station in continuous operation considering the noise term
张恒璟,崔东东,程鹏飞,文汉江,耿长良
摘要(Abstract):
针对未考虑噪声情况下利用非线性周期拟合模型得到的高程预测值与实际值存在偏差较大的问题,该文提出一种顾及噪声项的CORS站高程建模预测方法。对CORS站高程原始数据进行CEEMD分解,利用自相关函数绝对值均值变点理论判定噪声与信号分界点;对噪声序列建立ARMA模型、信号序列建立非线性周期拟合模型;将非线性周期拟合模型和ARMA模型组合进行CORS站高程数据的预测。实验结果表明:顾及噪声项的非线性速度场预测方法高程预测精度优于未考虑噪声项的非线性预测方法。该方法为CORS站高程数据的建模预测提供了一种新的途径。
关键词(KeyWords): CORS站高程时间序列;CEEMD分解;非线性速度场;高程预测
基金项目(Foundation): 中国测绘科学研究院基本科研业务费资助项目(AR1918);; 高分对地观测系统重大专项(42-Y20A09-9001-17/18);; 2017年辽宁省教育厅青年项目(LJ2017QL008)
作者(Author): 张恒璟,崔东东,程鹏飞,文汉江,耿长良
DOI: 10.16251/j.cnki.1009-2307.2020.11.003
参考文献(References):
- [1] 程鹏飞.2000国家大地坐标系建立的理论与方法[M].北京:测绘出版社,2014.(CHENG Pengfei.Theory and method for establishment of the china geodetic coordinate system 2000[M].Beijing:Surveying and Mapping Press,2014.)
- [2] 武曙光.区域CORS站坐标时间序列特征分析[D].武汉:武汉大学,2017.(WU Shuguang.Characteristics of coordinate time series from regional CORS stations[D].Wuhan:Wuhan University,2017.)
- [3] 刘宗强,党亚民,杨强,等.顾及共模误差的四川连续GPS基准站坐标时间序列噪声分析[J].大地测量与地球动力学,2018,38(5):510-515.(LIU Zongqiang,DANG Yamin,YANG Qiang,et al.Noise analysis of coordinate time series of Sichuan GPS reference stations with common mode error[J].Journal of Geodesy and Geodynamics,2018,38(5):510-515.)
- [4] 程鹏飞,成英燕.我国毫米级框架实现与维持发展现状和趋势[J].测绘学报,2017,46(10):129-137.(CHENG Pengfei,CHENG Yingyan.The current status and tendency of China millimeter coordinate frame implementation and maintenance[J].Acta Geodaetica et Cartographica Sinica,2017,46(10):129-137.)
- [5] 张恒璟,改健.CORS站高程非线性速度场估计方法[J].测绘科学,2017,42(12):146-150.(ZHANG Hengjing,GAI Jian.Estimation method of height nonlinear speed field of CORS station[J].Science of Surveying and Mapping,2017,42(12):146-150.)
- [6] 罗权.GPS坐标时间序列的功率谱分析研究[D].武汉:武汉大学,2017.(LUO Quan.The power spectrum research of GPS coordinate time series[D].Wuhan:Wuhan University,2017.)
- [7] 田慧.我国CORS站高程时间序列变化规律分析[D].阜新:辽宁工程技术大学,2012.(TIAN Hui.The variation analysis of CORS height time series in China[D].Fuxin:Liaoning Technology University,2012.)
- [8] 蒋志浩,张鹏,秘金钟,等.基于CGCS2000的中国地壳水平运动速度场模型研究[J].测绘学报,2009,38(6):471-476.(JIANG Zhihao,ZHANG Peng,BEI Jinzhong,et al.The model of crustal horizontal movement based on CGCS2000 frame[J].Acta Geodaetica et Cartographica Sinica,2009,38(6):471-476.)
- [9] 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.(LI Zhao,JIANG Weiping,LIU Hongfei,et al.Noise model establishment and analysis of IGS reference station coordinate time series inside China[J].Acta Geodaetica et Cartographica Sinica,2012,41(4):496-503.)
- [10] 傅彦博,孙付平,朱新慧,等.全球GPS测站垂向周年变化统计改正模型的建立[J].测绘学报,2018,47(10):1337-1345.(FU Yanbo,SUN Fuping,ZHU Xinhui,et al.Establishment of statistical correction model for vertical annual variations of global GPS stations[J].Acta Geodaetica et Cartographica Sinica,2018,47(10):1337-1345.)
- [11] 毛文飞,邹自力,邹历,等.MVMD-ARMA残差修正电离层预测模型的研究及应用[J].测绘科学,2019,44(4):33-40.(MAO Wenfei,ZOU Zili,ZOU Li,et al.Research and application of MVMD-ARMA residual correction ionospheric prediction model[J].Science of Surveying and Mapping,2019,44(4):33-40.)
- [12] YEH J R,SHIEH J S,HUANG N E.Complementary ensemble empirical mode decomposition:a novel noise enhanced data analysis method[J].Advances in Adaptive Data Analysis,2010,2 (2):135-156.
- [13] 欧阳敏,王大为,李志娜,等.基于压缩感知的小波阈值和CEEMD联合去噪方法[J].地球物理学进展,2019,34(2):615-621.(OUYANG Min,WANG Dawei,LI Zhina,et al.Research on CEEMD and wavelet threshold jointed denoising based on compressed sensing[J].Progress in Geophysics,2019,34(2):615-621.)
- [14] 程鹏飞.国家大地坐标系建立的理论与实践[M].北京:测绘出版社,2017.(CHENG Pengfei.Theory and practice for establishment of national geodetic coordinate system[M].Beijing:Surveying and Mapping Press,2017.)
- [15] 王婷.EMD算法研究及其在信号去噪中的应用[D].哈尔滨:哈尔滨工程大学,2010.(WANG Ting.Research on EMD algorithm and its application in signal denoising[D].Harbin:Harbin Engineering University,2010.)
- [16] 王苗苗,李博峰.无缝线性回归与预测模型[J].测绘学报,2016(12):1396-1405.(WANG Miaomiao,LI Bofeng.Seamless linear regression and prediction model[J].Acta Geodaetica et Cartographica Sinica,2016(12):1396-1405.)
- [17] 李玉.基于用户信息和音乐特征的音乐推荐及可视化研究[D].哈尔滨:哈尔滨工业大学,2016.(LI Yu.Research of music recommendation and visualization based on user information and music characteristics[D].Harbin:Harbin Institute of Technology,2016.)