论文标题
总电子内容视频重建的矩阵完成方法
Matrix Completion Methods for the Total Electron Content Video Reconstruction
论文作者
论文摘要
由于接收器和卫星之间的电离层电子含量，可以使用总电子含量（TEC）图来估计GPS的信号延迟。此延迟可能导致GPS定位错误。因此，监视TEC图很重要。观察到的TEC地图在海洋中有很大的缺失，并且在土地上散布着小区域。在本文中，我们提出了现有矩阵完成算法的几个扩展，以实现TEC地图重建，考虑到空间平滑度和时间一致性，同时保留TEC地图的重要结构。我们称之为使用软碎，时间平滑和辅助数据（VISTA）的建议方法插补。给出了模仿真实数据模式的数值模拟。我们表明，与文献中现有方法相比，我们提出的方法可实现更好的重建TEC图。我们提出的计算算法是一般的，除了TEC地图重建外，还可以轻松地应用于其他问题。
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.
