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.
翻译:电子内容总图(TEC)可用于估计全球定位系统由于接收器和卫星之间的电离层电子内容而导致的信号延迟。这种延迟可能导致全球定位系统定位错误。 因此,有必要监测TEC地图。 观测到的TEC地图有大片海洋缺失和陆地上分散的小地区。 在本文件中,我们建议对现有矩阵完成算法进行若干次扩展,以实现TEC地图重建,考虑到空间平滑和时间一致性,同时保留TEC地图的重要结构。 我们称之为拟议的方法,用软地、时空平滑和辅助数据进行视频截取。 提供了模拟真实数据的数值模拟。 我们表明,我们拟议的方法比现有文献方法更好地重建了TEC地图。 我们提议的计算算法是一般性的,可以很容易地用于处理TEC地图重建以外的其他问题。