测绘通报 ›› 2018, Vol. 0 ›› Issue (10): 14-16,21.doi: 10.13474/j.cnki.11-2246.2018.0306

• 学术研究 • 上一篇    下一篇

一种改进的电离层反演投影矩阵生成算法

余龙飞, 胡伍生   

  1. 东南大学交通学院测绘工程系, 江苏 南京 210096
  • 收稿日期:2017-10-17 出版日期:2018-10-25 发布日期:2018-10-31
  • 通讯作者: 胡伍生。E-mail:wusheng.hu@163.com E-mail:wusheng.hu@163.com
  • 作者简介:余龙飞(1989-),男,博士生,研究方向为基于GNSS电离层层析。E-mail:fly198982@126.com
  • 基金资助:
    国家自然科学基金(41574022;41274028);江苏省研究生创新项目基金(KYLX15_0160)

An Improved Generation Algorithm for Projection Matrix in Computerized Ionospheric Tomography

YU Longfei, HU Wusheng   

  1. Department of Surveying Engineering, School of Transportation, Southeast University, Nanjing 210096, China
  • Received:2017-10-17 Online:2018-10-25 Published:2018-10-31

摘要: 在基于像素基电离层反演电子密度含量时,投影矩阵的获取是关键步骤。传统投影矩阵的生成是采用代数法解算,不仅求解过程复杂,而且不能得到唯一解,解存在一倍的冗余,还需要判断满足条件的解。针对此问题,本文通过分析卫星信号射线与三维像素面交点的向量关系,提出了基于向量关系的求解方法,减少了待求未知数的个数,有效降低了解算的复杂程度,无需判断就能得到唯一解,降低了50%的冗余,提高了求解效率。

关键词: 电离层, 电离层反演, 投影矩阵, 向量

Abstract: The acquisition of projection matrix is the key step in computerized ionospheric tomography based on pixel. Because of the algebraic method, the traditional method not only has a complex process, but also cannot get unique solution. The unique solution cannot be obtained by using traditional method, and it is necessary to determine which solution satisfies the condition. Aimed at this deficiency, a method of obtaining projection matrix based on vector relation is proposed by analyzing the intersection point between satellite signal ray and 3D pixel plane. The novel method reduces the number of unknowns and the complexity of the computation, and obtains the unique solution without determining. It reduces the redundancy and improves the efficiency.

Key words: ionosphere, computerized ionospheric tomography, projection matrix, vector

中图分类号: