Estimation and analysis of the multi-frequency and multi-channel DCB for BDS-3

doi:10.11947/j.AGCS.2021.20200504

Abstract

Abstract: Differential code bias (DCB) is one of the major errors in ionospheric modeling, satellite navigation, positioning, and timing. A new series of DCBs is derived from BDS multi-frequency and multi-channel signals. Firstly, this paper analyzes the code observation combination and estimable DCB type for BDS-3, establishes the mathematical model of multi-frequency and multi-channel DCB estimation, and estimates more than 20 types of DCB by using IGS data. On this basis, the precision, accuracy, and monthly stability of various DCBs are compared and analyzed comprehensively. The results indicate that the closure errors of BDS-3 DCBs are basically within 0.2 ns, which shows good precision. The estimated results have a good agreement with the DCB products provided by CAS and DLR. Six types of DCB differences with CAS are basically within 0.1 ns. Four types of DCB differences with DLR are basically within 0.2 ns. Due to the influence of error propagation, the accuracy and reliability of DCB obtained by linear transformation are not as good as DCB estimated directly. The monthly mean STD of BDS-3 DCBs is 0.083 ns, showing good medium- and long- term stability. Compared with that of BDS-2, the DCB stability of BDS-3 is relatively better.

Key words: BDS-3, multi-frequency and multi-channel, differential code bias, consistency, stability

CLC Number:

P228

DENG Yuanfan, GUO Fei, ZHANG Xiaohong, LIU Wanke. Estimation and analysis of the multi-frequency and multi-channel DCB for BDS-3[J]. Acta Geodaetica et Cartographica Sinica, 2021, 50(4): 448-456.

References

[1] 姚宜斌, 刘磊, 孔建, 等. GIM和不同约束条件相结合的BDS差分码偏差估计[J]. 测绘学报, 2017, 46(2):135-143. DOI:10.11947/j.AGCS.2017.20160375. YAO Yibin, LIU Lei, KONG Jian, et al. Estimation of BDS DCB combining GIM and different zero-mean constraints[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(2):135-143. DOI:10.11947/j.AGCS.2017.20160375.
[2] WANG Qisheng, JIN Shuanggen, YUAN Liangliang, et al. Estimation and analysis of BDS-3 differential code biases from MGEX observations[J]. Remote Sensing, 2020, 12(1):68.
[3] LI Zishen, YUAN Yunbin, LI Hui, et al. Two-step method for the determination of the differential code biases of COMPASS satellites[J]. Journal of Geodesy, 2012, 86(11):1059-1076.
[4] LI Min, YUAN Yunbin, WANG Ningbo, et al. Estimation and analysis of Galileo differential code biases[J]. Journal of Geodesy, 2017, 91(3):279-293.
[5] WILSON B D, MANNUCCI A J. Instrumental biases in ionospheric measurements derived from GPS data[C]//Proceedings of the 6th International Technical Meeting of the Satellite Division of The Institute of Navigation. Salt Lake City, UT:Salt Palace Convention Center, 1993:1343-1351.
[6] 曾添, 隋立芬, 鲍亚东, 等. BDS卫星端差分码偏差对定位的影响及改正模型研究[J]. 大地测量与地球动力学, 2017, 37(1):53-57. ZENG Tian, SUI Lifen, BAO Yadong, et al. The impact of satellite differential code bias on BDS positioning and correction model research[J]. Journal of Geodesy and Geodynamics, 2017, 37(1):53-57.
[7] 王宁波, 袁运斌, 张宝成, 等. GPS民用广播星历中ISC参数精度分析及其对导航定位的影响[J]. 测绘学报, 2016, 45(8):919-928. DOI:10.11947/j.AGCS.2016.20150554. WANG Ningbo, YUAN Yunbin, ZHANG Baocheng, et al. Accuracy evaluation of GPS broadcast inter-signal correction (ISC) parameters and their impacts on GPS standard positioning[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(8):919-928. DOI:10.11947/j.AGCS.2016.20150554.
[8] WILSON B, YINGER C, FEESS W, et al. New and improved-the broadcast interfrequency biases[EB/OL].[1999-01-06]. http://hdl.handle.net/2014/18173.
[9] SCHAER S. Biases relevant to GPS and GLONASS data processing[C]//Proceedings of 2014 IGS Workshop. Pasadena, California:[s.n.], 2014.
[10] 袁运斌, 欧吉坤. GPS观测数据中的仪器偏差对确定电离层延迟的影响及处理方法[J]. 测绘学报, 1999, 28(2):110-114. DOI:10.3321/j.issn:1001-1595.1999.02.001. YUAN Yunbin, OU Jikun. The effects of instrumental bias in GPS observations on determining ionospheric delays and the methods of its calibration[J]. Acta Geodaetica et Cartographica Sinica, 1999, 28(2):110-114. DOI:10.3321/j.issn:1001-1595.1999.02.001.
[11] JIN Rui, JIN Shuanggen, FENG Guiping. M_DCB:Matlab code for estimating GNSS satellite and receiver differential code biases[J]. GPS Solutions, 2012, 16(4):541-548.
[12] 张宝成, 欧吉坤, 袁运斌, 等. 利用非组合精密单点定位技术确定斜向电离层总电子含量和站星差分码偏差[J]. 测绘学报, 2011, 40(4):447-453. ZHANG Baocheng, OU Jikun, YUAN Yunbin, et al. Calibration of slant total electron content and satellite-receiver's differential code biases with uncombined precise point positioning technique[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(4):447-453.
[13] 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.
[14] IGS RINEX WG. RINEX-the receiver independent exchange format, Version 3.05[EB/OL].[2020-12-01]. https://files.igs.org/pub/data/format/rinex305.pdf.
[15] LI Xingxing, XIE Weiliang, HUANG Jiaxin, et al. Estimation and analysis of differential code biases for BDS3/BDS2 using iGMAS and MGEX observations[J]. Journal of Geodesy, 2019, 93(3):419-435.
[16] 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B1I (3.0版)[EB/OL].[2019-02-27]. http://www.beidou.gov.cn. China Satellite Navigation Office. BeiDou navigation satellite system signal in space interface control document open service signal B1I (Version 3.0)[EB/OL].[2019-02-27]. http://www.beidou.gov.cn.
[17] 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B3I(1.0版)[EB/OL].[2018-02-09]. http://www.beidou.gov.cn. China Satellite Navigation Office. BeiDou navigation satellite system signal in space interface control document open service signal B3I (Version 1.0)[EB/OL].[2018-02-29]. http://www.beidou.gov.cn.
[18] 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B1C(1.0版)[EB/OL].[2017-12-27]. http://www.beidou.gov.cn. China Satellite Navigation Office. BeiDou navigation satellite system signal in space interface control document open service signal B1C (Version 1.0)[EB/OL].[2017-02-27]. http://www.beidou.gov.cn.
[19] 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B2a(1.0版)[EB/OL].[2017-12-27]. http://www.beidou.gov.cn. China Satellite Navigation Office. BeiDou navigation satellite system signal in space interface control document open service signal B2a (Version 1.0)[EB/OL].[2017-12-27]. http://www.beidou.gov.cn.
[20] ZHU Yongxing, TAN Shusen, FENG Laiping, et al. Estimation of the DCB for the BDS-3 new signals based on BDGIM constraints[J]. Advances in Space Research, 2020, 66(6):1405-1414.
[21] GU Shengfeng, WANG Yintong, ZHAO Qile, et al. BDS-3 differential code bias estimation with undifferenced uncombined model based on triple-frequency observation[J]. Journal of Geodesy, 2020, 94(4):45.
[22] 张强, 赵齐乐, 章红平, 等. 利用北斗观测实验网解算北斗卫星差分码偏差[J]. 武汉大学学报(信息科学版), 2016, 41(12):1649-1655. ZHANG Qiang, ZHAO Qile, ZHANG Hongping, et al. BDS differential code bias estimation using BeiDou experimental tracking stations[J]. Geomatics and Information Science of Wuhan University, 2016, 41(12):1649-1655.
[23] SANZ J, MIGUEL JUAN J, ROVIRA-GARCIA A, et al. GPS differential code biases determination:methodology and analysis[J]. GPS Solutions, 2017, 21(4):1549-1561.
[24] 解为良. 多系统GNSS高精度电离层建模和差分码偏差估计[D]. 武汉:武汉大学, 2018. XIE Weiliang. Precise ionospheric modeling and differential code bias estimation from Multi-GNSS observation[D]. Wuhan:Wuhan University, 2018.
[25] 任晓东. 多系统GNSS电离层TEC高精度建模及差分码偏差精确估计[D]. 武汉:武汉大学, 2017. REN Xiaodong. Theory and methodology of ionospheric TEC modelling and differential code biases estimation with multi-GNSS[D]. Wuhan:Wuhan University, 2017.
[26] WANG Ningbo, LI Zishen, MONTENBRUCK O, et al. Quality assessment of GPS, Galileo and BeiDou-2/3 satellite broadcast group delays[J]. Advances in Space Research, 2019, 64(9):1764-1779.
[27] 李子申, 王宁波, 李敏, 等. 国际GNSS服务组织全球电离层TEC格网精度评估与分析[J]. 地球物理学报, 2017, 60(10):3718-3729. LI Zishen, WANG Ningbo, LI Min, et al. Evaluation and analysis of the global ionospheric TEC map in the frame of international GNSS services[J]. Chinese Journal of Geophysics, 2017, 60(10):3718-3729.
[28] ZHANG Xiaohong, REN Xiaodong, WU Fengbo, et al. Short-term prediction of ionospheric TEC based on ARIMA model[J]. Journal of Geodesy and Geoinformation Science, 2019, 2(1):9-16. DOI:10.11947/j.JGGS.2019.0102.
[29] MONTENBRUCK O, HAUSCHILD A, STEIGENBERGER P. Differential code bias estimation using multi-GNSS observations and global ionosphere maps[J]. Navigation-Journal of the Institute of Navigation, 2014, 61(3):191-201.
[30] GUO Fei, ZHANG Xiaohong, WANG Jinling. Timing group delay and differential code bias corrections for BeiDou positioning[J]. Journal of Geodesy, 2015, 89(5):427-445.