基于混合罚函数法的多尺度电离层层析确权方法

doi:10.11947/j.AGCS.2016.F037

测绘学报 ›› 2016, Vol. 45 ›› Issue (S2): 156-164.doi: 10.11947/j.AGCS.2016.F037

基于混合罚函数法的多尺度电离层层析确权方法

余龙飞¹, 胡伍生¹, 韩理想¹, 郑敦勇^1,2

1. 东南大学交通学院测绘工程系, 江苏南京 210096;
2. 湖南科技大学地理信息技术国家地方联合工程实验室, 湖南湘潭 411201

收稿日期:2016-11-25 修回日期:2016-12-20 出版日期:2017-05-20 发布日期:2017-05-20
通讯作者: 胡伍生 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；41674035）；江苏省研究生创新项目基金（KYLX15_0160）

Weights of Multiscale Ionospheric Tomography Determination Method Based on Mixed Penalty Function

YU Longfei¹, HU Wusheng¹, HAN Lixiang¹, ZHENG Dunyong^1,2

1. Department of Surveying Engineering, School of Transportation, Southeast University, Nanjing 210096, China;
2. National-local Joint Engineering Laboratory of Geo-Spatial Information Technology, Hunan University of Science and Technology, Xiangtan 411201, China

Received:2016-11-25 Revised:2016-12-20 Online:2017-05-20 Published:2017-05-20
Supported by:
The National Natural Science Foundation of China (Nos. 41574022;41274028;41674035);The Fundamental Research Funds for the Central Universities (No. KYLX15_0160)

摘要/Abstract

摘要：

在利用GNSS进行像素基电离层层析时，多尺度层析方法利用权重因子将反演区域不同像素层析模型结合在一起，最终得到电离层电子密度反演结果，可以有效地解决电离层层析过程中不适应问题和最终的电离层电子密度失真现象。在多尺度电离层层析中，不同像素尺度层析模型之间权重是影响最终的电离层电子密度精度的重要因素。为了获得高精度电离层层析模型，考虑到权重因子存在着等式和不等式限制条件，采用解决最优化问题的罚函数法确定不同像素尺度电离层层析模型之间的权重。通过采用实测GNSS观测数据进行电离层多尺度电离层层析，对比了多尺度层析模型的各个子模型建模精度并进行分析，同时将罚函数法获得的模型精度与其他确权方法进行了对比，该方法可以有效地应用于多尺电离层度层析，且最终的层析模型精度优于其他确权方法，更优于单尺度电离层层析模型精度。

关键词: GNSS, 电离层, 电离层层析, 权重因子, 混合罚函数法

Abstract:

For the ionospheric electron density (IED) distribution based on GNSS, multi-scale ionospheric tomography (MST) is a simultaneous application of many overlapping single-scale tomography (SST) with different pixel sizes by using the weight factor. MST can effectively solve the problem of the final IED distortion and the inadaptable problem in SST. In MST, the weight between different SST models is an important factor to influence the final ionospheric tomography accuracy. In order to obtain a high accuracy of MST model, considering the existence of equality and inequality constraints between the weights,the penalty function method is applied to the weights determination. Based on GNSS Observations for the tomographic reconstruction of IED distribution, the experimental results show that the accuracy of MST model obtained by the penalty function method is the highest than other methods. It is proved that the accuracy of the ionospheric tomography model can be effectively improved by using the appropriate weight factor.

Key words: GNSS, ionosphere, computerized ionospheric tomography, weight factor, mixed penalty function method

中图分类号:

P227

余龙飞, 胡伍生, 韩理想, 郑敦勇. 基于混合罚函数法的多尺度电离层层析确权方法[J]. 测绘学报, 2016, 45(S2): 156-164.

YU Longfei, HU Wusheng, HAN Lixiang, ZHENG Dunyong. Weights of Multiscale Ionospheric Tomography Determination Method Based on Mixed Penalty Function[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(S2): 156-164.

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基于混合罚函数法的多尺度电离层层析确权方法

Weights of Multiscale Ionospheric Tomography Determination Method Based on Mixed Penalty Function

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