引用本文: 李征航, 陈锴, 刘万科, 王文丽. GNSS电离层延迟模型的数学统一与方法扩展[J]. 武汉大学学报 ( 信息科学版), 2007, 32(8): 699-703.
LI Zhenghang, CHEN Kai, LIU Wanke, WANG Wenli. Mathematical Unification and Method Expansion of GNSS Ionospheric Delay Model[J]. Geomatics and Information Science of Wuhan University, 2007, 32(8): 699-703.
 Citation: LI Zhenghang, CHEN Kai, LIU Wanke, WANG Wenli. Mathematical Unification and Method Expansion of GNSS Ionospheric Delay Model[J]. Geomatics and Information Science of Wuhan University, 2007, 32(8): 699-703.

## Mathematical Unification and Method Expansion of GNSS Ionospheric Delay Model

• 摘要: 总结了当前广泛研究的利用GNSS观测数据建立电离层延迟模型的基本理论,并从数学上利用第一类算子方程统一现有的模型。着重分析了电离层VTEC的数学模拟和逼近方法,提出了建立模型的方法上的一系列扩展,从数学角度分析模型各种处理方式上的潜在问题,并给出了简单的单站模型计算实例,实证了理论的正确性。

Abstract: The research of the ionospheric delay has experienced rapid progress from error elimination, model correction to the terrestrial space environment monitoring, since the last decade. The basic principle and method for the ionospheric delay models universally used are summarized, and almost all the existing models using the first-class-operator-function (FCOF) are mathematically unified. By emphasizing mathematical representation of the ionospheric VTEC and its approaching methods, series of expansion on the methods for establishing the ionospheric delay model, also the potential problems using the newly presented method are mathematically discussed. Finally ,a simple single station model proves the feasibility of the theory.

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