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Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (10): 1351-1361 .doi: https://doi.org/10.1007/s10483-008-1010-x

• Articles • 上一篇    下一篇

奇异谱迭代插补的改进算法及其在大气缺损数据恢复中的应用

王辉赞1,2,3;张韧1,2;刘巍3;王桂华3;金宝刚1,3   

  1. 1. 解放军理工大学气象学院海洋与空间环境系，南京 211101； 2. 中国科学院大气物理研究所，LASG，北京 100029； 3. 西南交通大学信息科学与技术学院, 成都610031； 4. 国家海洋局第二海洋研究所，杭州 310012
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-10-01 发布日期:2008-10-01
  • 通讯作者: 张韧

Improved interpolation method based on singular spectrum analysis iteration and its application to missing data recovery

WANG Hui-zan1,2,3;ZHANG Ren1,2;LIU Wei3;WANG Gui-hua3; JIN Bao-gang1,3   

  1. 1. Institute of Meteorology, PLA University of Science and Technology,Nanjing 211101, P. R. China; 2. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences,Beijing 100029, P. R. China; 3. Second Institute of Oceanography, State Oceanic Administration,Hangzhou 310012, P. R. China; 4. School of Information Science and Technology,Southwest Jiaotong University,Chengdu 610031, P. R. China
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-10-01 Published:2008-10-01
  • Contact: ZHANG Ren

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摘要： 基于奇异谱分析（SSA）迭代插补的基本思想，针对该方法在参数确定（主成分个数K和嵌入维数M）上存在较大随意性和计算效率低等缺陷，提出了一种参数优化的新算法-区间四分法，该方法可在误差曲线存在局部波动情况下仍能有效搜索到全局最优参数解，且迭代插补精度和计算效率可得到显著提高。采用外逸长波辐射(OLR)逐日资料进行的插补试验对比分析表明，基于区间四分法改进的SSA迭代插补方案的缺损数据恢复的效率和精度良好。

关键词: 奇异谱分析, 外逸长波辐射, 缺损数据插补, 区间四分法

Abstract: A novel interval quartering algorithm (IQA) is proposed to overcome insufficiency of the conventional singular spectrum analysis (SSA) iterative interpolation for selecting parameters including the number of the principal components and the embedding dimension. Based on the improved SSA iterative interpolation, interpolated test and comparative analysis are carried out to the outgoing longwave radiation daily data. The results show that IQA can find globally optimal parameters to the error curve with local oscillation, and has advantage of fast computing speed. The improved interpolation method is effective in the interpolation of missing data.

Key words: singular spectrum analysis, outgoing longwave radiation, interpolation of missing data, interval quartering algorithm

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