留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于奇异谱分析的空间环境数据插补方法

刘帅 李智 龚建村 林瑞淋 马志昊

刘帅, 李智, 龚建村, 等 . 基于奇异谱分析的空间环境数据插补方法[J]. 北京航空航天大学学报, 2016, 42(4): 829-836. doi: 10.13700/j.bh.1001-5965.2015.0554
引用本文: 刘帅, 李智, 龚建村, 等 . 基于奇异谱分析的空间环境数据插补方法[J]. 北京航空航天大学学报, 2016, 42(4): 829-836. doi: 10.13700/j.bh.1001-5965.2015.0554
LIU Shuai, LI Zhi, GONG Jiancun, et al. Gap filling method for space environment data based on singular spectrum analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(4): 829-836. doi: 10.13700/j.bh.1001-5965.2015.0554(in Chinese)
Citation: LIU Shuai, LI Zhi, GONG Jiancun, et al. Gap filling method for space environment data based on singular spectrum analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(4): 829-836. doi: 10.13700/j.bh.1001-5965.2015.0554(in Chinese)

基于奇异谱分析的空间环境数据插补方法

doi: 10.13700/j.bh.1001-5965.2015.0554
基金项目: 教育部新世纪优秀人才支持计划;中国科学院青年创新促进会(Y52133A23S)
详细信息
    作者简介:

    刘帅 男,博士研究生。主要研究方向:空间环境数据处理与建模、智能算法。 Tel.: 010-66364774 E-mail: liushuai00@sina.com;李智 男,博士,教授。主要研究方向:空间信息系统综合集成、空间态势感知理论。 Tel.: 010-66364171 E-mail: lizhizys@263.net;龚建村 男,博士,研究员。主要研究方向:空间环境建模与应用。 Tel.: 010-62586422 E-mail: gongjc@nssc.ac.cn;林瑞淋 男,博士,副研究员。主要研究方向:空间环境建模与预报。 Tel.: 010-62586419 E-mail: rllin04@163.com;马志昊 男,博士,讲师。主要研究方向:空间环境可视化、空间态势感知理论。 Tel.: 010-66364229 E-mail: snake77@163.com

    通讯作者:

    李智, Tel.: 010-66364171 E-mail: lizhizys@263.net

  • 中图分类号: TP391;P353

Gap filling method for space environment data based on singular spectrum analysis

Funds: Program for New Century Excellent Talents in University of Ministry of Education of China;Youth Innovation Promotion Association, Chinese Academy of Sciences(Y52133A23S)
  • 摘要: 空间环境数据具有典型的非线性、非平稳特征,并经常包含有缺失数据,给预报模型的建立、预测以及物理过程的分析带来了一定的困难。为了实现对缺失数据的插补,基于奇异谱分析(SSA)迭代插补的思想,设计了一种能够适用于不同缺失数据分布的插补方案。该方案提取出原始时间序列中缺失数据分布数组,利用缺失数据分布数组生成交叉验证所用的测试数据集,并利用离散粒子群优化算法寻找SSA的2个关键性参数,即嵌入窗口长度和主成分个数。通过不同太阳活动年份实际观测的太阳风参数、地磁指数等实例验证了算法的有效性。

     

  • [1] BROOMHEAD D S, KING G P.Extracting qualitative dynamics from experimental data[J].Physica D,1986,20(2-3):217- 236.
    [2] GHIL M, ALLEN R M,DETTINGER M D,et al.Advanced spectral methods for climatic time series[J].Reviews of Geophysics,2002:40(1):3.1-3.41.
    [3] ZHIGLJAVSKY A. Singular spectrum analysis for time series: Introduction to this special issue[J].Statistics and Its Interface,2010,3(3):255-258.
    [4] SCHOELLHAMER D H. Singular spectrum analysis for time series with missing data[J].Geophysical Research Letters,2001,28(16):3187-3190.
    [5] SHEN Y, PENG F,LI B.Improved singular spectrum analysis for time series with missing data[J].Nonlinear Processes in Geophysics,2014,1(2):1947-1966.
    [6] GOLYANDINA N, OSIPOV E.The “Caterpillar”-SSA method for analysis of time series with missing values[J].Journal of Statistical Planning and Inference,2007,137(8):2642-2653.
    [7] KONDRASHOV D, GHIL M.Spatio-temporal filling of missing points in geophysical data sets[J].Nonlinear Processes in Geophysics,2006,13(2):151-159.
    [8] BECKERS J M, RIXEN M.EOF calculations and data filling from incomplete oceanographic datasets[J].Journal of Atmospheric and Oceanic Technology,2003,20(12):1839-1856.
    [9] KONDRASHOV D, SHPRITS Y,GHIL M.Gap filling of solar wind data by singular spectrum analysis[J].Geophysical Research Letters,2010,37(15):1-6.
    [10] KONDRASHOV D, DENTON R,SHPRITS Y Y,et al.Reconstruction of gaps in the past history of solar wind parameters[J].Geophysical Research Letters,2014,41(8):2702-2707.
    [11] WANG H Z, ZHANG R,LI W.Improved interpolation method based on singular spectrum analysis iteration and its application in missing data recovery[J].Applied Mathematics and Mechanics,2008,29(10):1227-1236.
    [12] LIU W,JIN W D, WANG H Z,et al.An optimized atmospheric missed data recovery algorithm based on singular spectrum iteration[C]//Proceedings of IEEE Conference on Cybernetics and Intelligent.Piscataway,NJ:IEEE Press,2008:1129-1132.
    [13] GOLYANDINA N, NEKRUTKIN V,ZHIGLJAVSKY A.Analysis of structure of time series: SSA and related techniques[M].Boca Raton:The Chemical Rubber Company Press,2001:30-73.
    [14] CHENG D. Time series decomposition using singular spectrum analysis[D].Tennessee:East Tennessee State University,2014:12-14.
    [15] CLAESSEN D, GROTH A.A beginner's guide to SSA[EB/OL].Paris:Ecole Normale Supérieure,2010[2015-05-10].http:// www.environnement.ens.fr/IMG/file/DavidPDF/SSA_beginners_guide_v9.pdf.
    [16] WANG R, MA H,LIU G,et al.Selection of window length for singular spectrum analysis[J].Journal of the Franklin Institute,2015,352(2):1541-1560.
    [17] GOLYANDINA N. On the choice of parameters in singular spectrum analysis and related subspace-based methods[J].Statistics and Its Interface,2010,3(3):259-279.
    [18] MAHMOUDVAND R, ZOKAEI M.On the singular values of the Hankel matrix with application in singular spectrum analysis[J].Chilean Journal of Statistics,2012,3(1):43-56.
    [19] VALLE Y, VENAYAGAMOORTHY G K,MOHAGHEGHI S,et al.Particle swarm optimization:Basic concepts,variants and applications in power systems[J].IEEE Transactions on Evolutionary Computation,2008,12(2):171-195.
    [20] KENNEDY J, EBERHART R C.Particle swarm optimization[C]//Proceedings of the 1995 IEEE International Conference on Neural Networks.Piscataway,NJ:IEEE Press,1995:1942-1948.
    [21] CHOWDHURY S, TONG W,MESSAC A,et al.A mixed-discrete particle swarm optimization algorithm with explicit diversity-preservation[J].Structural and Multidisciplinary Optimization,2013,47(3):367-388.
    [22] BOUBAKER S, DJEMAI M,MANANANNI N,et al.Active modes and switching instants identification for linear switched systems based on discrete particle swarm optimization[J].Applied Soft Computing,2014,14:482-488.
    [23] 郭文忠,陈国龙. 离散粒子群优化算法及其应用[M].北京:清华大学出版社,2012:13-16. GUO W Z,CHEN G L.Discrete particle swarm optimization algorithm and its application[M].Beijing:Tsinghua University Press,2012:13-16(in Chinese).
    [24] KOROBEYNIKOV A. Computationk- and space-efficient implementation of SSA[J].Statistics and Its Interface,2010,3(3): 357-368.
  • 加载中
计量
  • 文章访问数:  774
  • HTML全文浏览量:  66
  • PDF下载量:  936
  • 被引次数: 0
出版历程
  • 收稿日期:  2015-08-28
  • 修回日期:  2015-09-30
  • 网络出版日期:  2016-04-20

目录

    /

    返回文章
    返回
    常见问答