Analysis and Application of BDS Broadcast Ephemeris Bias

doi:10.11947/j.AGCS.2016.F027

Abstract

Abstract:

We analyze the BeiDou broadcast ephemeris biases starting from February 2014 to October 2016 by using the IGS post-processed precise orbit and clock as references. Results show that the bias of BeiDou broadcast ephemeris can reach up to 2 meter. To further verify this finding, we perform precise point positioning for about 18 MGEX stations using BeiDou broadcast ephemeris and wide-area differential correction parameters. Data of 97 days are analyzed and pseudo-range residuals of each frequency for each station are derived. Systematic biases are found in the residuals using broadcast ephemeris. Comparing the BEB applying the differential correction parameters with the TGD difference between IGS and BeiDou broadcast ephemeris, we find that the correlation coefficient of TGD differences and BEB values could reach up to 0.89. This proves that the BEB applying the differential correction parameters is mainly due to the biases of the TGD parameters in broadcast ephemeris. By correcting the biases into TGD parameters, we performed point positioning at different stations. Results show that after applying the biases, the pseudo-range error reduces much, and the positioning precision can improve about 14.9%, 28.4%, 15.5% in N,E,U, direction for dual-frequency users, respectively.

Key words: MGEX, pseudo-range residual, broadcast ephemeris bias, TGD, point positioning

CLC Number:

P228

ZHANG Yize, CHEN Junping, ZHOU Jianhua, YANG Sainan, WANG Bin, CHEN Qian, GONG Xiuqiang. Analysis and Application of BDS Broadcast Ephemeris Bias[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(S2): 64-71.

References

[1] ZHOU Shanshi, CAO Yueling, ZHOU Jianhua, et al. Positioning Accuracy Assessment for the 4GEO/5IGSO/2MEO Constellation of COMPASS[J]. Science China Physics, Mechanics and Astronomy, 2012, 55(12):2290-2299.
[2] MONTENBRUCK O, STEIGENBERGER P, HAUSCHILD A. Broadcast Versus Precise Ephemerides:A Multi-GNSS Perspective[J]. GPS Solutions, 2015, 19(2):321-333.
[3] CHEN Liang, JIAO Wenhai, HUANG Xiaorui, et al. Study on Signal-in-space Errors Calculation Method and Statistical Characterization of BeiDou Navigation Satellite System[C]//SUN Jiadong, JIAO Wenhai, WU Haitao, et al. China Satellite Navigation Conference (CSNC) 2013 Proceedings. Berlin:Springer, 2013:423-434.
[4] HU Zhigang, CHEN Guo, ZHANG Qiang, et al. An Initial Evaluation about BDS Navigation Message Accuracy[C]//SUN Jiadong, JIAO Wenhai, WU Haitao, et al. China Satellite Navigation Conference (CSNC) 2013 Proceedings. Berlin:Springer, 2013:479-491.
[5] 张清华, 隋立芬, 贾小林, 等. 北斗卫星导航系统空间信号误差统计分析[J]. 武汉大学学报(信息科学版), 2014, 39(3):271-274. ZHANG Qinghua, SUI Lifen, JIA Xiaolin, et al. SIS Error Statistical Analysis of BeiDou Satellite Navigation System[J]. Geomatics and Information Science of Wuhan University, 2014, 39(3):271-274.
[6] CHEN Gucang, HU Zhicang, WANG Guangxing, et al. Assessment of BDS Signal-in-space Accuracy and Standard Positioning Performance during 2013 and 2014[C]//SUN Jiadong, LIU Jingnan, FAN Shiwei, et al. China Satellite Navigation Conference (CSNC) 2015 Proceedings. Berlin:Springer, 2015:437-453.
[7] 刘万科, 任杰, 曾琪, 等. 2013-2015年BDS空间信号测距误差的精度评估[J]. 国防科技大学学报, 2016, 38(3):1-6. LIU Wanke, REN Jie, ZENG Qi, et al. Accuracy Assessment of BDS Signal-in-space Range Errors in 2013-2015[J]. Journal of National University of Defense Technology, 2016, 38(3):1-6.
[8] 耿涛, 苏醒, 许小龙, 等. 北斗卫星导航系统精密定轨和广播星历轨道精度分析[J]. 中国科技论文, 2015, 10(9):1023-1026. GENG Tao, SU Xing, XU Xiaolong, et al. Research on Precise and Broadcast Ephemeris Orbit of BeiDou Navigation Satellite System[J]. China Science paper, 2015, 10(9):1023-1026.
[9] ZHANG Yize, CHEN Junping, GONG Xiuqiang, et al. Modeling and Application of Compass Satellite Orbits and Clocks Predicted Correction[C]//SUN Jiadong, JIAO Wenhai, WU Haitao, et al. China Satellite Navigation Conference (CSNC) 2014 Proceedings. Berlin:Springer, 2014:181-191.
[10] HE Feng, ZHOU Shanshi, HU Xiaogong, et al. Satellite-Station Time Synchronization Information Based Real-time Orbit Error Monitoring and Correction of Navigation Satellite in BeiDou System[J]. Science China Physics, Mechanics & Astronomy, 2014, 57(7):1395-1403.
[11] DENG Zhiguo, GE Maorong, UHLEMANN M, et al. Precise Orbit Determination of BeiDou Satellites at GFZ[R]. Pasadena:IGS Workshop, 2014.
[12] 高星伟, 过静珺, 程鹏飞, 等. 基于时空系统统一的北斗与GPS融合定位[J]. 测绘学报, 2012, 41(5):743-748, 755. GAO Xingwei, GUO Jingjun, CHENG Pengfei, et al. Fusion Positioning of Compass/GPS Based on Spatio Temporal System Unification[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(5):743-748, 755.
[13] 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.
[14] 中国卫星导航管理办公室. 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)[Z]. 2013. China Satellite Navigation Office. BeiDou Navigation Satellite System Signal in Space Interface Control Document Open Service Signal (Version 2.0)[Z]. 2013.
[15] DILSSNER F, SPRINGER T, SCHÖNEMANN E, et al. Estimation of Satellite Antenna Phase Center Corrections for BeiDou[R]. Pasadena:IGS Workshop, 2014.
[16] 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.
[17] WANG Ningbo, YUAN Yunbin, LI Zishen, et al. Determination of Differential Code Biases with Multi-GNSS Observations[J]. Journal of Geodesy, 2016, 90(3):209-228.
[18] MONTENBRUCK O, HAUSCHILD A, STEIGENBERGER P. Differential Code Bias Estimation Using Multi-GNSS Observations and Global Ionosphere Maps[J]. Journal of the Institute of Navigation, 2014, 61(3):191-201.
[19] 曹俊忠. 一元线性回归显著性检验方法分析[J]. 西北纺织工学院学报, 1988(3-4):78-82. CAO Junzhong. The Analysis on the Significant Testing Ways of the Simple Linear Regression[J]. Journal of Northwest Institute of Textile Science and Technology, 1988(3-4):78-82.