GPS广播电离层模型精化方法
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摘要
电离层延迟是影响定位的主要误差源之一,与电离层电子含量(TEC)密切相关。Klobuchar模型是GPS单频用户在实时定位中消除电离层延迟的有效方法,其精度在太阳活动低年只有50%～60%。针对TEC时间序列的随机噪声和Klobuchar模型参数设置的局限性采取两种不同的改进策略,以双频修正法计算值作参考,利用广西连续运行参考系统(CORS)监测站数据进行解算并分析不同优化策略的效果,研究表明,针对TEC时间序列的精化模型,Kalman滤波处理策略效果最优,加权最小二乘方法效果最差,该处理策略改进效果整体差于模型参数的估计修正策略;模型参数修正方法以14参数模型修正效果为最优,10参数次之,8参数最差,另外模型的计算效率也是其适用性的考量标准之一。
Ionospheric delay is one of the main error sources affecting the location,which is closely related to the ionospheric electron content( TEC). Klobuchar model is an effective method for eliminating ionospheric delay in real-time positioning of GPS single-frequency users. Its precision is only 50% ～ 60% in low solar activity years.Aiming at the limitation of the random noise of TEC time series and the parameter setting of Klobuchar model,two different improvement strategies are adopted. The results of different optimization strategies are calculated and analyzed with the data of Guangxi CORS monitoring station. The results show that the Kalman filtering strategy for the refined model of TEC time series has the best effect,and the weighted least square method has the worst effect.TEC time series refined strategy is worse than the estimation correction strategy for the model parameters. The model parameters correction method takes the 14-parameter model as the best,the 10-parameter model is the second,and the 8-parameter model is the worest. In addition,the computational efficiency of the model is also one of the criteria for its applicability.
Ionospheric delay is one of the main error sources affecting the location,which is closely related to the ionospheric electron content( TEC). Klobuchar model is an effective method for eliminating ionospheric delay in real-time positioning of GPS single-frequency users. Its precision is only 50% ～ 60% in low solar activity years.Aiming at the limitation of the random noise of TEC time series and the parameter setting of Klobuchar model,two different improvement strategies are adopted. The results of different optimization strategies are calculated and analyzed with the data of Guangxi CORS monitoring station. The results show that the Kalman filtering strategy for the refined model of TEC time series has the best effect,and the weighted least square method has the worst effect.TEC time series refined strategy is worse than the estimation correction strategy for the model parameters. The model parameters correction method takes the 14-parameter model as the best,the 10-parameter model is the second,and the 8-parameter model is the worest. In addition,the computational efficiency of the model is also one of the criteria for its applicability.
引文
1章红平,平劲松,朱文耀,等.电离层延迟改正模型综述[J].天文学进展,2006,24(1):16-26Zhang Hongping,Ping Jinsong,Zhu Wenyao,et al. Overview of ionospheric delay correction models[J]. Progress in Astronomy,2006,24(1):16-26
2 姚宜斌,张顺,孔建. GNSS空间环境学研究进展和展望[J].测绘学报,2017,46(10):1408-1420Yao Yibin,Zhang Shun,Kong Jian. GNSS research progress and prospect of space environment[J]. Journal of Surveying and Mapping,2017,46(10):1408-1420
3 黄良珂,陈军,李琛,等.利用IGS电离层格网产品分析电离层峰值变化特性[J].科学技术与工程,2018,18(18):212-217Huang Liangke,Chen Jun,Li Chen,et al. Analyses on ionospheric delay peak value using IGS ionospheric gird product[J]. Science Technology and Engineering,2018,18(18):212-217
4 Chen J,Huang L,Liu L,et al. Applicability analysis of VTEC derived from the sophisticated Klobuchar model in China[J]. International Journal of Geo-Information,2017,6(3):1-15
5 Wang N,Yuan Y,Li Z,et al. Improvement of Klobuchar model for GNSS single-frequency ionospheric delay corrections[J]. Advances in Space Research,2016,57(7):1555-1569
6 张小红,李征航,蔡昌盛.用双频GPS观测值建立小区域电离层延迟模型研究[J].武汉大学学报(信息科学版),2001,26(2):140-143,159Zhang Xiaohong,Li Zhenghang,Cai Changsheng. Establishment of a small-area ionospheric delay model using dual-frequency GPS observations[J]. Geomatics and Information Science of Wuhan University,2001,26(2):140-143,159
7 袁运斌,欧吉坤.基于GPS数据的电离层模型和电离层延迟改正新方法研究[J].中国科学院研究生院学报,2002(2):209-214Yuan Yunbin,Ou Jikun. Ionospheric model based on GPS data and new method of ionospheric delay correction[J]. Journal of Graduate School of Chinese Academy of Sciences,2002(2):209-214
8 蔡成辉,刘立龙,黎峻宇,等.基于改进的Klobuchar模型建立南宁市区域电离层延迟模型[J].大地测量与地球动力学,2015,35(5):797-800,806Cai Chenghui,Liu Lilong,Li Junyu,et al. Based on the improved Klobuchar model,a regional ionospheric delay model for Nanning Urban area is established[J]. Geodesy and Geodynamics,2015,35(5):797-800,806
9 刘宸,李海峰,冯绪. Klobuchar电离层模型精化进展[J].测绘科学技术学报,2017,34(5):455-460Liu Chen,Li Haifeng,Feng Xu,et al. Progress in the refinement of ionospheric models[J]. Journal of Surveying and Mapping Science and Technology,2017,34(5):455-460
10 刘宸,刘长建,冯绪,等.适用于不同尺度区域的Klobuchar-like电离层模型[J].测绘学报,2016,45(增刊2):54-63Liu Chen,Liu Changjian,Feng Xu,et al. Klobuchar-like ionospheric model suitable for different scales[J]. Journal of Surveying and Mapping,2016,45(S2):54-63
11 余明,郭际明,过静珺. GPS电离层延迟Klobuchar模型与双频数据解算值的比较与分析[J].测绘通报,2004(6):5-8Yu Ming,Guo Jiming,Guo Jingjun. Comparison and analysis of Klobuchar model of GPS ionospheric delay and solution values of dual frequency data[J]. Surveying and Mapping Bulletin,2004(6):5-8
12 李维鹏,李建文,戴伟. Klobuchar电离层延迟改正模型精化方法的研究[J].测绘科学,2009,34(5):49-51Li Weipeng,Li Jianwen,Dai Wei. Klobuchar ionospheric delay correction model refinement method[J]. Surveying and Mapping Science,2009,34(5):49-51
13 赵威,张成义. Klobuchar模型的实用分析与改进[J].空间科学学报,2013,33(6):624-628Zhao Wei,Zhang Chengyi. Practical analysis and improvement of Klobuchar model[J]. Journal of Space Science,2013,33(6):624-628
14 聂文锋,胡伍生,潘树国,等.利用GPS双频数据进行区域电离层TEC提取[J].武汉大学学报(信息科学版),2014,39(9):1022-1027Nie Wenfeng,Hu Wusheng,Pan Shuguo,et al. TEC extraction from regional ionosphere using dual-frequency GPS data[J]. Geomatics and Information Science of Wuhan University,2014,39(9):1022-1027
15 Jin R,Jin S,Feng G. M_DCB:Matlab code for estimating GNSS satellite and receiver differential code biases[J]. GPS Solutions,2012,16(4):541-548
2 姚宜斌,张顺,孔建. GNSS空间环境学研究进展和展望[J].测绘学报,2017,46(10):1408-1420Yao Yibin,Zhang Shun,Kong Jian. GNSS research progress and prospect of space environment[J]. Journal of Surveying and Mapping,2017,46(10):1408-1420
3 黄良珂,陈军,李琛,等.利用IGS电离层格网产品分析电离层峰值变化特性[J].科学技术与工程,2018,18(18):212-217Huang Liangke,Chen Jun,Li Chen,et al. Analyses on ionospheric delay peak value using IGS ionospheric gird product[J]. Science Technology and Engineering,2018,18(18):212-217
4 Chen J,Huang L,Liu L,et al. Applicability analysis of VTEC derived from the sophisticated Klobuchar model in China[J]. International Journal of Geo-Information,2017,6(3):1-15
5 Wang N,Yuan Y,Li Z,et al. Improvement of Klobuchar model for GNSS single-frequency ionospheric delay corrections[J]. Advances in Space Research,2016,57(7):1555-1569
6 张小红,李征航,蔡昌盛.用双频GPS观测值建立小区域电离层延迟模型研究[J].武汉大学学报(信息科学版),2001,26(2):140-143,159Zhang Xiaohong,Li Zhenghang,Cai Changsheng. Establishment of a small-area ionospheric delay model using dual-frequency GPS observations[J]. Geomatics and Information Science of Wuhan University,2001,26(2):140-143,159
7 袁运斌,欧吉坤.基于GPS数据的电离层模型和电离层延迟改正新方法研究[J].中国科学院研究生院学报,2002(2):209-214Yuan Yunbin,Ou Jikun. Ionospheric model based on GPS data and new method of ionospheric delay correction[J]. Journal of Graduate School of Chinese Academy of Sciences,2002(2):209-214
8 蔡成辉,刘立龙,黎峻宇,等.基于改进的Klobuchar模型建立南宁市区域电离层延迟模型[J].大地测量与地球动力学,2015,35(5):797-800,806Cai Chenghui,Liu Lilong,Li Junyu,et al. Based on the improved Klobuchar model,a regional ionospheric delay model for Nanning Urban area is established[J]. Geodesy and Geodynamics,2015,35(5):797-800,806
9 刘宸,李海峰,冯绪. Klobuchar电离层模型精化进展[J].测绘科学技术学报,2017,34(5):455-460Liu Chen,Li Haifeng,Feng Xu,et al. Progress in the refinement of ionospheric models[J]. Journal of Surveying and Mapping Science and Technology,2017,34(5):455-460
10 刘宸,刘长建,冯绪,等.适用于不同尺度区域的Klobuchar-like电离层模型[J].测绘学报,2016,45(增刊2):54-63Liu Chen,Liu Changjian,Feng Xu,et al. Klobuchar-like ionospheric model suitable for different scales[J]. Journal of Surveying and Mapping,2016,45(S2):54-63
11 余明,郭际明,过静珺. GPS电离层延迟Klobuchar模型与双频数据解算值的比较与分析[J].测绘通报,2004(6):5-8Yu Ming,Guo Jiming,Guo Jingjun. Comparison and analysis of Klobuchar model of GPS ionospheric delay and solution values of dual frequency data[J]. Surveying and Mapping Bulletin,2004(6):5-8
12 李维鹏,李建文,戴伟. Klobuchar电离层延迟改正模型精化方法的研究[J].测绘科学,2009,34(5):49-51Li Weipeng,Li Jianwen,Dai Wei. Klobuchar ionospheric delay correction model refinement method[J]. Surveying and Mapping Science,2009,34(5):49-51
13 赵威,张成义. Klobuchar模型的实用分析与改进[J].空间科学学报,2013,33(6):624-628Zhao Wei,Zhang Chengyi. Practical analysis and improvement of Klobuchar model[J]. Journal of Space Science,2013,33(6):624-628
14 聂文锋,胡伍生,潘树国,等.利用GPS双频数据进行区域电离层TEC提取[J].武汉大学学报(信息科学版),2014,39(9):1022-1027Nie Wenfeng,Hu Wusheng,Pan Shuguo,et al. TEC extraction from regional ionosphere using dual-frequency GPS data[J]. Geomatics and Information Science of Wuhan University,2014,39(9):1022-1027
15 Jin R,Jin S,Feng G. M_DCB:Matlab code for estimating GNSS satellite and receiver differential code biases[J]. GPS Solutions,2012,16(4):541-548
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