北斗区域Klobuchar改进模型及其修正精度分析
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摘要
北斗卫星导航系统采用Klobuchar模型修正单频接收机用户的电离层延迟误差,由于此模型从亚洲地区应用角度考虑,在某一特定区域的修正精度甚至不足50%。为进一步提高区域电离层延迟修正精度,提出在原模型8个改正参数的基础上增加5个关键参数的Klobuchar改进模型,并采用松弛迭代与直线搜索法中的黄金分割相结合的算法对新增参数进行求解。以天津及其附近区域为例,利用GPStation6接收机采集到的实测数据对改进模型与原模型进行计算。将国际全球导航卫星系统服务组织(International GNSS Service,IGS)发布的全球电离层格网数据作为参考值,对比分析改进模型与原模型的修正精度。结果表明,区域Klobuchar改进模型在天津及其附近区域的电离层延迟平均修正精度比原模型提升了10.46%,平均修正精度达到77.51%。
The BeiDou satellite navigation system uses the Klobuchar model to correct the ionospheric delay error for single frequency receiver users. However, due to the application of this model from the perspective of the Asian region, the correction accuracy in a specific region is even less than 50%.In order to further improve the accuracy of regional ionospheric delay correction, an improved Klobuchar model that adds five key parameters on the basis of eight correction parameters of the original model was proposed, and then the values of these additional parameters were obtained through the algorithm combining relax iterative and the golden section of the linear search.Taking Tianjin and its vicinity as an example, the measured data collected by the GPStation6 receiver was used to calculate the improved model and the original model.The global ionospheric grid data published by the International GNSS Service(IGS) was used as a reference value to compare and analyze the accuracy of the improved model and the original model.The results show that the average correction accuracy of ionospheric delay of the improved model in Tianjin and its vicinity is 10.46% higher than that of the original model, and the average accuracy reaches 77.51%.
The BeiDou satellite navigation system uses the Klobuchar model to correct the ionospheric delay error for single frequency receiver users. However, due to the application of this model from the perspective of the Asian region, the correction accuracy in a specific region is even less than 50%.In order to further improve the accuracy of regional ionospheric delay correction, an improved Klobuchar model that adds five key parameters on the basis of eight correction parameters of the original model was proposed, and then the values of these additional parameters were obtained through the algorithm combining relax iterative and the golden section of the linear search.Taking Tianjin and its vicinity as an example, the measured data collected by the GPStation6 receiver was used to calculate the improved model and the original model.The global ionospheric grid data published by the International GNSS Service(IGS) was used as a reference value to compare and analyze the accuracy of the improved model and the original model.The results show that the average correction accuracy of ionospheric delay of the improved model in Tianjin and its vicinity is 10.46% higher than that of the original model, and the average accuracy reaches 77.51%.
引文
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[11] 徐李冰. Compass/GPS电离层延迟改正优化方法研究[D]. 桂林:桂林电子科技大学,2015:18. XU L B. Optimized methodology research of ionopheric delay error correction of compass and GPS[D]. Guilin: Guilin University of Electronic Technology,2015:18(in Chinese).
[12] 马昌凤. 最优化方法及其Matlab程序设计[M]. 北京: 科学出版社, 2010:18-20. MA C F. Optimization method and its Matlab program design[M]. Beijing: Science Press, 2010:18-20(in Chinese).
[13] 崔艳星,郭伟. 求解最优松弛因子的一种数值计算方法[J]. 太原师范学院学报.自然科学版,2016,15(02):14-16. CUI Y X,GUO W. A numerical method for solving the optimal relaxation[J]. Journal of Taiyuan Normal University.Natural Science Edition,2016,15(02):14-16(in Chinese).
[14] SCHAER S,GURTNER W, FELTENS J. IONEX:the ionos-phere map exchange format version 1[C]. The IGS AC Work-shop. Darmstadt:IGS,1998:3-5.
[15] SCHAER S.Mapping and predicting the earth′s ionosphere using the global positioning system [D]. Bern:University of Bern,1999:6-8.
[16] MANNUCCI A J,WILSON B D,YUAN D N,et al. A global mapping technique for GPS-derived ionospheric total electron content measurements[J]. Radio Science,1998,33(3):565-582.
[2] 王宁波,袁运斌,李子申,等. 基于GNSS数据的改进Klobuchar模型研究[C]//2013中国测绘学会大地测量专业委员会年会论文集.大连:中国科学院光电研究院,2013:1. WANG N B, YUAN Y B, LI Z S, et al. Research on improved Klobuchar model based on GNSS data[C]//2013 Proceedings of the Annual Meeting of the Geodetic Professional Committee of China Society of Surveying and Mapping.Dalian:Institute of Optoelectronics, Chinese Academy of Sciences,2013:1(in Chinese).
[3] 刘萧,赵鹤,赵龙.北斗首颗备份卫星性能初步分析[J].中国空间科学技术,2017,37(6):82-88. LIU X,ZHAO H,ZHAO L.Preliminary performance analysis of the first backup satellite of BeiDou Navigation Satellite System[J].Chinese Space Science and Technology,2017,37(6):82-88(in Chinese).
[4] 赵坤娟. 区域电离层延迟误差改正方法研究[D]. 西安:中国科学院研究生院(国家授时中心),2014:21-24. ZHAO K J. Study on regional ionospheric delay error correction method[D]. Xi′an:National Time Service Center, Chinese Academy of Sciences,2014:21-24(in Chinese).
[5] 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(1):16-26. ZHANG H P,PING J S,ZHU W Y,et al. Brief review of the ionospheric delay models[J]. Progress in Astronomy,2006(1):16-26(in Chinese).
[6] 徐李冰,蔡成林,陈光喜,等. 一种新的北斗Klobuchar模型及其精度分析[J]. 大地测量与地球动力学,2015,35(5):788-792,796. XU L B,CAI C L,CHEN G X,et al. A new Klobuchar model and its precision analysis for beidou navigation satellite system[J]. Journal of Geodesy and Geodynamics,2015,35(5):788-792,796(in Chinese).
[7] 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):49-51. LI W P,LI J W,DAI W. Study on the methods of updating Klobuchar ionospheric delay correction model[J]. Science of Surveying and Mapping,2009,34(5):49-51(in Chinese).
[8] 中国卫星导航系统管理办公室. 北斗卫星导航系统空间信号接口控制文件[S]. 2.1版.北京,2016:23-25.
[9] 章红平. 基于地基GPS的中国区域电离层监测与延迟改正研究[D]. 上海:中国科学院研究生院上海天文台,2006:16～26. ZHANG H P. China region ionosphere based on ground based GPS monitoring and delay corrective research[D]. Shanghai:Astronomical Observatory,CAS,2006:16-26(in Chinese).
[10] 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):797-800,806. CAI C H,LIU L L,LI J Y,et al. Establishment of region ionopheric delay model in nanning based on improved Klobuchar model[J]. Journal of Geodesy and Geody-namics,2015,35(5):797-800,806(in Chinese).
[11] 徐李冰. Compass/GPS电离层延迟改正优化方法研究[D]. 桂林:桂林电子科技大学,2015:18. XU L B. Optimized methodology research of ionopheric delay error correction of compass and GPS[D]. Guilin: Guilin University of Electronic Technology,2015:18(in Chinese).
[12] 马昌凤. 最优化方法及其Matlab程序设计[M]. 北京: 科学出版社, 2010:18-20. MA C F. Optimization method and its Matlab program design[M]. Beijing: Science Press, 2010:18-20(in Chinese).
[13] 崔艳星,郭伟. 求解最优松弛因子的一种数值计算方法[J]. 太原师范学院学报.自然科学版,2016,15(02):14-16. CUI Y X,GUO W. A numerical method for solving the optimal relaxation[J]. Journal of Taiyuan Normal University.Natural Science Edition,2016,15(02):14-16(in Chinese).
[14] SCHAER S,GURTNER W, FELTENS J. IONEX:the ionos-phere map exchange format version 1[C]. The IGS AC Work-shop. Darmstadt:IGS,1998:3-5.
[15] SCHAER S.Mapping and predicting the earth′s ionosphere using the global positioning system [D]. Bern:University of Bern,1999:6-8.
[16] MANNUCCI A J,WILSON B D,YUAN D N,et al. A global mapping technique for GPS-derived ionospheric total electron content measurements[J]. Radio Science,1998,33(3):565-582.