引用本文: 程鹏飞, 李夕银, 马建平. 两种GPS测定电离层电子密度模型的探讨[J]. 武汉大学学报 ( 信息科学版), 2001, 26(6): 524-528.
CHENG Pengfei, LI Xiyin, MA Jianping. Investigations on Two Models for the Determination of Ionospheric Electron Content[J]. Geomatics and Information Science of Wuhan University, 2001, 26(6): 524-528.
 Citation: CHENG Pengfei, LI Xiyin, MA Jianping. Investigations on Two Models for the Determination of Ionospheric Electron Content[J]. Geomatics and Information Science of Wuhan University, 2001, 26(6): 524-528.

## Investigations on Two Models for the Determination of Ionospheric Electron Content

• 摘要: 详细推导出利用GPS双频码距及载波相位观测值进行电离层电子密度求定的Klobuchar模型以及Georgiadou模型,给出了求定这两种模型参数的数学表达,从理论上指出该两种模型适合单历元解算的基本条件,通过实例进行了两种模型的电离层修正误差及误差频率的分析和比较。结果证明,与Klobuchar模型相比,Georgiadou模型具有表达形式简单,对模型参数的初值精度要求较低,数据利用率较高,参数估计精度较高等优点。

Abstract: Ionospheric refraction can be expressed by the Total Electron Content (TVEC).In this paper the relationship between ionosphere refraction and dual-frequency GPS observables (code ranges/carrier phases) is derived based on Fermat's theorem.Two ionosphere models are chosen,i.e.Klobuchar model and Georgiadou model. The minimum requirements for solving the model parameters for both models are related to the multiplication of the number of GPS observation sites,the number of observed satellites and the number of epochs for the observation.For Klobuchar model,the multiplication should be smaller than 8,and for Georgiadou model,the multiplication should be smaller than (1+m)(1+n),where m and n are the degree and the order respectivelly. The determination of ionosphere model parameters is derived in detail.Theoretically,it can be proven that:1) for Klobuchar model,GPS data is additionally constrained,i.e.,the data set should be scanned before being put in the estimator,while,for Georgiadou model there is no any constraint to the GPS data;2) to solve the Klobuchar model parameters,the approximate value of parameters should be within certain accuracy.Otherwise,the estimation process is not convergent.On the other hand,there is no such stringent requirement for Georgiadou model parameter estimation;3) GPS data of both multi-stations and single station can be used in both models.On the other hand,many data sets,such as multi-epoch data,single epoch data,single satellite data,multi-satellite data,etc.can fit both models. Test results have shown that the standard deviation of about 1 m can be obtained by using dual-frequency code ranges.

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈