A Pseudo-range and Phase Combined SBAS Differential Correction Model

doi:10.11947/j.AGCS.2017.20160299

Abstract

Abstract: BeiDou Navigation Satellite System (BDS) integrates legacy PNT service and authorized SBAS service, where SBAS service provides differential corrections and integrity information for authorized users. Current BDS differential corrections include one-dimensional equivalent satellite clock and ionospheric grids corrections, which is derived based on CNMC-smoothed pseudo-range observations. To improve the performance of BDS SBAS service, an algorithm is developed to estimate the real-time satellite clock and orbit corrections. In the algorithm, phase smoothed pseudo-range observation is used to define absolute value, and epoch differenced phase observation is used to define epoch-wise variation of the satellite clock/orbit corrections. It is analyzed that the impact of data sampling rate and station number on the correction parameter estimation. Real-time data of the BDS tracking network in China is used to validate the new algorithm. Compared with the current system performance:① mean UDRE using the new algorithm is reduced by 27%,35% and 27% for GEO, IGSO and MEO satellites, ② mean positioning error using the new algorithm is reduced by 23%,32% and 52% in the North, East and Up components, respectively. Implementing the new algorithm, BDS SBAS service supports the user positioning requirement with accuracy better than 1 m.

Key words: wide area differential service, phase observation, satellite clock correction, satellite orbit correction, UDRE

CLC Number:

P228.4

CHEN Junping, YANG Sainan, ZHOU Jianhua, CAO Yueling, ZHANG Yize, GONG Xiuqiang, WANG Jungang. A Pseudo-range and Phase Combined SBAS Differential Correction Model[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(5): 537-546.

References

[1] 杨元喜. 北斗卫星导航系统的进展、贡献与挑战[J]. 测绘学报, 2010, 39(1):1-6. YANG Yuanxi. Progress, Contribution and Challenges of Compass/BeiDou Satellite Navigation System[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(1):1-6.
[2] 杨元喜, 李金龙, 王爱兵, 等. 北斗区域卫星导航系统基本导航定位性能初步评估[J]. 中国科学:地球科学, 2014, 44(1):72-81. YANG Yuanxi, LI Jinlong, WANG Aibing, et al. Preliminary Assessment of the Navigation and Positioning Performance of BeiDou Regional Navigation Satellite System[J]. Science China Earth Sciences, 2014, 57(1):144-152.
[3] 胡志刚. 北斗卫星导航系统性能评估理论与试验验证[D]. 武汉:武汉大学, 2013. HU Zhigang. BeiDou Navigation Satellite System Performance Assessment Theory and Experimental Verification[D]. Wuhan:Wuhan University, 2013.
[4] 北斗卫星导航系统简介[EB/OL]. http://www.beidou.gov.cn/xtjs.html. BeiDou Satellite Navigation System[EB/OL]. http://www.beidou.gov.cn/xtjs.html.
[5] ZHOU Shanshi, HU Xiaogong, WU Bin, et al. Orbit Determination and Time Synchronization for a GEO/IGSO Satellite Navigation Constellation with Regional Tracking Network[J]. Science China Physics, Mechanics and Astronomy, 2011, 54(6):1089-1097.
[6] 施闯, 赵齐乐, 李敏, 等. 北斗卫星导航系统的精密定轨与定位研究[J]. 中国科学:地球科学, 2012, 42(6):854-861. SHI Chuang, ZHAO Qile, LI Min, et al. Precise Orbit Determination of BeiDou Satellites with Precise Positioning[J]. Science China Earth Sciences, 2012, 55(7):1079-1086.
[7] 刘伟平, 郝金明, 李建文, 等. 多GNSS融合的北斗卫星精密定轨[J]. 测绘学报, 2014, 43(11):1132-1138. DOI:10.13485/j.cnki.11-2089.2014.0186. LIU Weiping, HAO Jinming, LI Jianwen, et al. Multi-GNSS Joint Precise Orbit Determination of BeiDou Navigation Satellite System[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(11):1132-1138. DOI:10.13485/j.cnki.11-2089.2014.0186.
[8] 雷辉, 李志刚, 杨旭海, 等. 基于转发式的北斗卫星导航系统地球静止轨道卫星精密定轨试验[J]. 测绘学报, 2011, 40(S):31-33. LEI Hui, LI Zhigang, YANG Xuhai, et al. Precise Orbit Determination Experiment of Compass-GEO Based on Transponder Ranging[J].Acta Geodaetica et Cartographica Sinica, 2011, 40(S):31-33.
[9] 耿涛, 刘经南, 赵齐乐, 等. 星地监测网下的北斗导航卫星轨道确定[J]. 测绘学报, 2011, 40(S):46-51. GENG Tao, LIU Jingnan, ZHAO Qile, et al. Compass Precise Orbit Determination Based on Space-ground Monitoring Network[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(S):46-51.
[10] 刘伟平, 郝金明, 田英国, 等. 北斗卫星导航系统双差动力法精密定轨及其精度分析[J]. 测绘学报, 2016, 45(2):131-139. DOI:10.11947/j.AGCS.2016.20150190. LIU Weiping, HAO Jinming, TIAN Yingguo, et al. Solution Method and Precise Analysis of Double-difference Dynamic Precise Orbit Determination of BeiDou Navigation Satellite System[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(2):131-139. DOI:10.11947/j.AGCS.2016.20150190.
[11] 陈良, 耿长江, 周泉. 北斗/GPS实时精密卫星钟差融合解算模型及精度分析[J]. 测绘学报, 2016, 45(9):1028-1034. DOI:10.11947/j.AGCS.2016.20150296. CHEN Liang, GENG Changjiang, ZHOU Quan. Estimation Model and Accuracy Analysis of BeiDou/GPS Real-time Precise Satellite Clock Error Integrated Resolving[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(9):1028-1034. DOI:10.11947/j.AGCS.2016.20150296.
[12] 陈俊勇, 刘经南, 张燕平, 等. 分布式广域差分GPS实时定位系统[J]. 测绘学报, 1998, 27(1):1-8. CHEN Junyong, LIU Jingnan, ZHANG Yanping, et al. On Distributed Wide Area Differential GPS Real Time Kinematic Positioning System[J]. Acta Geodaetica et Cartographica Sinica, 1998, 27(1):1-8.
[13] 邢楠. 广域差分技术在COMPASS系统定位服务中的应用[D]. 北京:中国科学院大学, 2013. XING Nan. Research on the Application of Wide Area Differential Technique to Compass System[D]. Beijing:University of Chinese Academy of Sciences, 2013.
[14] CAO Yueling, HU Xiaogong, ZHOU Jianhua, et al. Kinematic Wide Area Differential Corrections for Beidou Regional System Basing on Two-way Time Synchronization[C]//SUN J, JIAO W, WU H, et al. Proceedings of China Satellite Navigation Conference (CSNC). Berlin:Springer, 2014:277-288.
[15] CAO Yueling, HU Xiaogong, WU Bin, et al. The Wide-area Difference System for the Regional Satellite Navigation System of Compass[J]. Science China Physics, Mechanics and Astronomy, 2012, 55(7):1307-1315.
[16] WU Xiaoli, ZHOU Jianhua, TANG Bo, et al. Evaluation of Compass Ionospheric Grid[J]. GPS Solutions, 2014, 18(4):639-649.
[17] WU Xiaoli,HU Xiaogong,WANG Gang,et al.Evaluation of Compass Ionospheric Model in GNSS Positioning[J]. Advances in Space Research, 2013, 51(6):959-968.
[18] WU Xiaoli, ZHOU Jianhua, GANG Wang, et al. Multipath Error Detection and Correction for GEO/IGSO Satellites[J]. Science China Physics, Mechanics and Astronomy, 2012, 55(7):1297-1306.
[19] 常志巧, 胡小工, 郭睿, 等. CNMC与Hatch滤波方法比较及其在北斗相对定位中的精度分析[J]. 中国科学:物理学力学天文学, 2015, 45(7):079508. CHANG Zhiqiao, HU Xiaogong, GUO Rui, et al. Comparison between CNMC and Hatch Filter & Its Precision Analysis for BDS Precise Relative Positioning[J]. Scientia Sinica:Physica, Mechanica & Astronomica, 2015, 45(7):079508.
[20] BOCK H.Efficient Methods for Determining Precise Orbits of Low Earth Orbiters Using the Global Positioning System[D]. Berne:Astronomical Institute, University of Berne, 2003.
[21] 陈俊平. 低轨卫星精密定轨研究[D]. 上海:同济大学, 2007. CHEN Junping. On Precise Orbit Determination of Low Earth Orbiters[D]. Shanghai:Tongji University, 2007.
[22] GE Maorong, CHEN Junping, DOUŠA J, et al. A Computationally Efficient Approach for Estimating High-rate Satellite Clock Corrections in Realtime[J]. GPS Solutions, 2012, 16(1):9-17.
[23] TSAI Y J. Wide Area Differential Operation of the Global Positioning System:Ephemeris and Clock Algorithms[D]. Palo Alto, CA:Stanford University, 1999.
[24] 陈刘成, 胡小工, 封欣, 等. 区域导航系统实时广域差分修正模型与方法[J]. 中国科学院上海天文台年刊, 2010(1):45-53. CHEN Liucheng, HU Xiaogong, FENG Xin, et al. The Models and Arithmetic for WADS Real-time Corrections of Regional Satellite Navigation System[J]. Annals of Shanghai Observatory Academia Sinica, 2010(1):45-53.
[25] 曹月玲. BeiDou区域导航系统广域差分及完好性监测研究[D]. 北京:中国科学院大学, 2014. CAO Yueling. Studies on The Wide-Area Differential Correction and Integrity Monitoring for the Regional Satellite Navigation System of BeiDou[D]. Beijing:University of Chinese Academy of Sciences, 2014.
[26] ZHU S Y, MASSMANN F H, YU Y, et al. Satellite Antenna Phase Center Offsets and Scale Errors in GPS Solutions[J]. Journal of Geodesy, 2003, 76(11-12):668-672.
[27] GE M,GENDT G,DICK G,et al. Impact of GPS Satellite Antenna Offsets on Scale Changes in Global Network Solutions[J]. Geophysical Research Letters, 2005, 32(6). DOI:10.1029/2004GL022224.
[28] SCHMID R, STEIGENBERGER P, GENDT G, et al. Generation of a Consistent Absolute Phase-center Correction Model for GPS Receiver and Satellite Antennas[J]. Journal of Geodesy, 2007, 81(12):781-798.
[29] MONTENBRUCK O,STEIGENBERGER P,HAUSCHILD A. Broadcast Versus Precise Ephemerides:A Multi-GNSS Perspective[J]. GPS Solutions, 2015, 19(2):321-333.
[30] 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公开服务信号(2.0版)[R]. 北京:中国卫星导航系统管理办公室, 2013. China Satellite Navigation Office. BeiDou Navigation Satellite System Signal in Space Interface Control Document Open Service Signal (Version 2.0)[R]. Beijing:China Satellite Navigation Office, 2013.