MATRIX COMPLETION METHODS FOR THE TOTAL ELECTRON CONTENT VIDEO RECONSTRUCTION
MATRIX COMPLETION METHODS FOR THE TOTAL ELECTRON CONTENT VIDEO RECONSTRUCTION
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DOI：
10.1214/21-aoas1541
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发表时间：
2022-09-01
影响因子：
1.8
通讯作者：
Chen, Yang
中科院分区：
文献类型：
--
作者：
Sun, Hu;Hua, Zhijun;Chen, Yang
总电子含量（TEC）图可以用来估计由于接收机和卫星之间的电离层电子含量引起的GPS信号延迟。这种延迟会导致GPS定位误差。因此，重要的是监测TEC图。观测到的TEC地图在海洋中有大片的缺失区域，在陆地上有分散的小区域缺失。在本文中，我们提出了几个扩展现有的矩阵完成算法来实现TEC地图重建，占空间的平滑性和时间的一致性，同时保留重要结构的TEC地图。我们称所提出的方法为视频填补与softImpute，时间平滑和辅助数据（VISTA）。给出了模拟真实的数据模式的数值模拟。我们表明，我们提出的方法实现了更好的重建TEC地图，文献中现有的方法相比。我们提出的计算算法是通用的，可以很容易地应用于其他问题，除了TEC地图重建。
The total electron content (TEC) maps can be used to estimate the signal delay of GPS due to the ionospheric electron content between a receiver and satellite. This delay can result in GPS positioning error. Thus, it is important to monitor the TEC maps. The observed TEC maps have big patches of missingness in the ocean and scattered small areas of missingness on the land. In this paper we propose several extensions of existing matrix completion algorithms to achieve TEC map reconstruction, accounting for spatial smoothness and temporal consistency while preserving important structures of the TEC maps. We call the proposed method video imputation with softImpute, temporal smoothing and auxiliary data (VISTA). Numerical simulations that mimic patterns of real data are given. We show that our proposed method achieves better reconstructed TEC maps, as compared to existing methods in literature. Our proposed computational algorithm is general and can be readily applied for other problems besides TEC map reconstruction.