MATRIX COMPLETION METHODS FOR THE TOTAL ELECTRON CONTENT VIDEO RECONSTRUCTION

• 成果类型: Article
• 署名作者: Sun, Hu; Hua, Zhijun; Ren, Jiaen; Zou, Shasha; Sun, Yuekai; Chen, Yang
• 署名单位: University of Michigan System; University of Michigan; University of Michigan System; University of Michigan
• 刊物名称: ANNALS OF APPLIED STATISTICS
• ISSN/ISSBN: 1932-6157
• DOI: 10.1214/21-AOAS1541
• 发表日期: 2022
• 页码: 1333-1358
• 关键词: factorization; midlatitude; storm; MAPS; vtec

摘要

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.