卿晨昕,欧吉坤,蒋可,邱封钦,赖祖龙

• 1:中国地质大学(武汉)
• 2:中国科学院精密测量科学与技术创新研究院

摘要(Abstract)：

针对钟差一次差分数据中仍存在非平稳信号的影响,该文引入了一种以压缩感知理论为基础,结合L1范数的谱投影梯度(SPGL1)算法来实现GPS卫星钟差的短期预报。首先利用中位数法剔除钟差中的异常值;然后根据钟差数据的特点,选择合适的采样率,以傅立叶正交变换矩阵作为稀疏矩阵,结合SPGL1算法进行去噪处理;最后通过傅立叶反变换获得最终预报值。实验结果表明:SPGL1算法的预报精度与采样率、建模数据量有关,当采样率为80%～90%时,SPGL1算法的预报精度要明显优于二次多项式模型、谱分析模型以及灰色模型(1,1),而且利用SPGL1算法进行钟差预报具有更好的预报稳定性。

关键词(KeyWords)： 卫星钟差;一次差分;钟差预报;压缩感知;SPGL1算法

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(41974008)

作者(Author): 卿晨昕,欧吉坤,蒋可,邱封钦,赖祖龙

DOI: 10.16251/j.cnki.1009-2307.2021.12.007

参考文献(References)：

• [1] WANG Y P,LU Z P,QU Y Y,et al.Improving prediction performance of GPS satellite clock bias based on wavelet neural network[J].GPS Solution,2017,21(2):523-534.
• [2] 王建敏，李特，谢栋平，等.北斗精密卫星钟差短期预报研究[J].测绘科学，2020,45(1):33-41.(WANG Jianmin,LI Te,XIE Dongping,et al.Research on short-term prediction of clock error of Beidou precision satellite[J].Science of Surveying and Mapping,2020,45(1):33-41.)
• [3] 程博，丘晓枫，季凌燕，等.BDS精密卫星钟差建模与预报[J].测绘科学，2019,44(10):14-20.(CHENG Bo,QIU Xiaofeng,JI Lingyan,et al.Modeling and application of BDS satellite clock error[J].Science of Surveying and Mapping,2019,44(10):14-20.)
• [4] 陈希鸣，黄张裕，秦洁，等.粒子群算法优化的神经网络短期钟差预报[J].测绘科学，2019,44(9):7-12.(CHEN Ximing,HUANG Zhangyu,QING Jie,et al.Prediction of the short-term satellite clock error based on particle swarm optimization neural network[J].Science of Surveying and Mapping,2019,44(9):7-12.)
• [5] 闵扬海，王潜心，丛丽娟.一种基于灰色神经网络的卫星钟差预报策略[J].测绘科学，2019,44(8):190-198.(MIN Yanghai,WANG Qianxin,CONG Lijuan.A clock offset prediction strategy for satellites based on grey neural network[J].Science of Surveying and Mapping,2019,44(8):190-198.)
• [6] 张小红，陈兴汉，郭斐.高性能原子钟钟差建模及其在精密单点定位中的应用[J].测绘学报，2015,44(4):392-398.(ZHANG Xiaohong,CHEN Xinghan,GUO Fei.High-performance atomic clock modeling and its application in precise point positioning[J].Acta Geodaetica et Cartographica Sinica,2015,44(4):392-398.)
• [7] 黄观文，杨元喜，张勤.开窗分类因子抗差自适应序贯平差用于卫星钟差参数估计及预报[J].测绘学报，2011,40(1):15-21.(HUANG Guanwen,YANG Yuanxi,ZHANG Qin.Estimate and predict satellite clock error using adaptively robust sequential adjustment with classifien adaptive factors based on opening windows[J].Acta Geodaetica et Cartographica Sinica,2011,40(1):15-21.)
• [8] 于烨，张惠君，李孝辉.含误差预报校正的GM(1,1)卫星钟差预报新方法[J].测绘科学，2019,44(4):8-14.(YU Ye,ZHANG Huijun,LI Xiaohui.A new method of GM(1,1) satallite clock bias prediction with error prediction correction[J].Science of Surveying and Mapping,2019,44(4):8-14.)
• [9] 熊红伟，程新文，张海涛，等.卫星钟差单差的小波神经网络预报[J].测绘科学，2017,42(9):9-14.(XIONG Hongwei,CHENG Xinwen,ZHANG Haitao,et al.Wavelet neural network prediction for satellite in single difference[J].Science of Surveying and Mapping,2017,42(9):9-14.)
• [10] 王宇谱，吕志平，陈正生，等.一种新的钟差预处理方法及在WNN钟差中长期预报中的应用[J].武汉大学学报(信息科学版),2016,42(3):373-379.(WANG Yupu,LYU Zhiping,CHEN Zhengsheng,et al.A new preprocessing method of clock error and its application in WNN clock error medium and long-term forecast[J].Geomatics and Information Science of Wuhan University,2016,42(3):373-379.)
• [11] DONOHO D L.Compressed sensing[J].IEEE Transactions on Information Theory,2006,52(4):1289-1306.
• [12] CANDES E J,ROMBERG J,TAO T.Robust uncertainty principles:exact signal reconstruction from highly incomplete frequency information[J].IEEE Transactions on Information Theory,2006,52(2):489-509.
• [13] 王宇谱，张胜利，徐金锋，等.改进中位数方法的BDS卫星钟差数据预处理策略[J].测绘科学，2019,44(2):109-115.(WANG Yupu,ZHANG Shengli,XU Jinfeng,et al.Data preprocessing strategy for BDS satellite clock bias data based on an improved median absolute deviation method[J].Science of Surveying and Mapping,2019,44(2):109-115.)
• [14] 吴静.利用中位数的GPS卫星中跳探测方法[J].测绘科学，2015,40(6):36-41.(WU Jing.Using the median GPS satellite clock jump detection method[J].Science of Surveying and Mapping,2015,40(6):36-41.)
• [15] 王宇谱，吕志平，周海涛，等.基于修正钟差一次差分数据的卫星钟差预报[J].大地测量与地球动力学，2016,36(12):1073-1077.(WANG Yupu,LYU Zhiping,ZHOU Haitao,et al.Satellite clock bias prediction based on primary difference data of corrected clock bias[J].Journal of Geodesy and Geodynamics,2016,36(12):1073-1077.)
• [16] 王旭，柴洪洲，王昶.卫星钟差预报的T-S模糊神经网络法[J].测绘学报，2020,49(5):580-588.(WANG Xu,CHAI Hongzhou,WANG Chang.T-S fuzzy neural network to predict satellite clock bias[J].Acta Geodaetica et Cartographica Sinica,2020,49(5):580-588.)
• [17] DO T,GAN L,NGUYEN N,et al.Fast and efficient compressive sensing using structurally random matrices[J].IEEE Transactions on Signal Processing,2012,60(1):139-154.
• [18] BERG E,FRIENDLANDER M.Probing the Pareto frontier for basis pursuit solution[J].SIAM on Scientific Computing,2008,31(2):890-912.
• [19] 张博伦，王林飞，蔡正辉，等.SPGL1算法在地震资料随机噪声压制中的应用[J].中国海洋大学学报，2016,46(12):81-86.(ZHANG Bolun,WANG Linfei,CAI Zhenghui,et al.Application of SPGL1 in random noise suppression of seismic data[J].Periodical of Ocean University of China,2016,46(12):81-86.)
• [20] 俞国庆，贾瑞生，孙圆圆，等.基于超完备字典学习的缺失地震重构方法[J].地球物理学进展，2019,34(1):0229-0235.(YU Guoqing,JIA Ruisheng,SUN Yuanyuan,et al.Reconstruction of seismic data based on over-complete dictionary learning[J].Progress in Geophysics,2019,34(1):0229-0235.)