Estimate of higher order ionospheric errors in GNSS positioning
Estimate of higher order ionospheric errors in GNSS positioning
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DOI：
10.1029/2007rs003817
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发表时间：
2008-10
期刊：
影响因子：
1.6
通讯作者：
M. M. Hoque-M.;N. Jakowski
中科院分区：
文献类型：
--
作者：
M. M. Hoque-M.;N. Jakowski
利用GPS/GLONASS/Galileo进行精确的导航和定位需要精确地确定和校正电离层传播误差。目前的双频电离层校正方法忽略了高阶电离层误差，如折射率公式中的二阶和三阶电离层项和信号弯曲引起的误差。假设两个GPS频率的总电子含量（TEC）相同。所有这些假设都会导致电离层误差的错误估计和修正。本文对这些问题作了严格的处理。利用所提出的修正公式，可以在毫米级精度范围内对GPS双频剩余距离误差进行修正。
Precise navigation and positioning using GPS/GLONASS/Galileo require the ionospheric propagation errors to be accurately determined and corrected for. Current dual‐frequency method of ionospheric correction ignores higher order ionospheric errors such as the second and third order ionospheric terms in the refractive index formula and errors due to bending of the signal. The total electron content (TEC) is assumed to be same at two GPS frequencies. All these assumptions lead to erroneous estimations and corrections of the ionospheric errors. In this paper a rigorous treatment of these problems is presented. Different approximation formulas have been proposed to correct errors due to excess path length in addition to the free space path length, TEC difference at two GNSS frequencies, and third‐order ionospheric term. The GPS dual‐frequency residual range errors can be corrected within millimeter level accuracy using the proposed correction formulas.