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一种快速重叠开窗拟合算法及其在电离层拟合中的应用
引用本文:陈正生,张清华,李雪瑞,宋华侨,李林阳.一种快速重叠开窗拟合算法及其在电离层拟合中的应用[J].大地测量与地球动力学,2019,39(10):1041-1046.
作者姓名:陈正生  张清华  李雪瑞  宋华侨  李林阳
作者单位:火箭军工程大学作战保障学院,西安市同心路2号,710025;地理信息工程国家重点实验室,西安市雁塔路中段1号,710054;地理信息工程国家重点实验室,西安市雁塔路中段1号,710054;陆军工程大学国防工程学院,南京市后标营路88号,210007;32139部队,北京市,101211;信息工程大学地理空间信息学院,郑州市科学大道62号,450001
基金项目:国家重点研发计划;国家自然科学基金;国家自然科学基金;国家自然科学基金;国家重点实验室开放基金;陕西省自然科学基金
摘    要:提出一种基于分段的重叠窗口拟合算法,它将分段窗口分为边界区、重叠区和内部区,通过对前后窗口重叠区拟合值的加权平均,使窗口间拟合值的变化连续。采用实测GNSS电离层数据,分别对逐历元滑动窗口、独立分段窗口和重叠窗口3种算法进行实验对比,其中在以400历元窗口对NKLG站G01的电离层拟合计算中,逐历元法耗费121.618 s,而独立分段法和重叠分段法只分别用了0.396 s和0.985 s,计算效率分别为前者的307倍和123倍。结果证明,该算法兼顾计算精度与执行效率,是处理数据量较大、连续且变化剧烈的时间序列的有效方法。

关 键 词:重叠窗口  滑动窗口  独立窗口  电离层延迟  多项式拟合

A Fast Fitting Algorithm of Overlap Window and Its Application in Ionospheric Fitting
CHEN Zhengsheng,ZHANG Qinghua,LI Xuerui,SONG Huaqiao,LI Linyang.A Fast Fitting Algorithm of Overlap Window and Its Application in Ionospheric Fitting[J].Journal of Geodesy and Geodynamics,2019,39(10):1041-1046.
Authors:CHEN Zhengsheng  ZHANG Qinghua  LI Xuerui  SONG Huaqiao  LI Linyang
Abstract:In this paper, we propose a segmentation-based overlapping window fitting algorithm that divides the segmentation window into boundary, overlapping, and inner areas. By weighted averaging the fitting values of the overlapping area of the front and back windows, the fitting value between windows changes continuously. Using GNSS ionospheric data, three algorithms of epoch-by-epoch sliding window, independent segment window and overlapping window are compared. In the ionospheric fitting calculation of G01 at NKLG station with 400 epoch windows, the epoch-by-epoch method consumes 121.618 s, while the independent and overlapping subsection methods only use 0.396 s and 0.985 s, respectively, and the calculation efficiency is 307 times and 123 times that of the former. The results show that the proposed algorithm takes account of both computational accuracy and execution efficiency, and is a good method to deal with time series with large amount of data, and continuous and drastic changes.
Keywords:overlapped window  moving window  independent window  ionosphere delay  polynomial fitting  
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