Correction Model of BeiDou Code Systematic Multipath Errors and Its Impacts on Single-frequency PPP

doi:10.11947/j.AGCS.2017.20170020

Abstract

Abstract: There are systematic multipath errors on BeiDou code measurements, which are range from several decimeters to larger than 1 meter. They can be divided into two categories, which are systematic variances in IGSO/MEO code measurement and in GEO code measurement. In this contribution, a methodology of correcting BeiDou GEO code multipath is proposed base on Kalman filter algorithm. The standard deviation of GEO MP Series decreases about 10%~16% after correction. The weight of code in single-frequency PPP is great, therefore, code systematic multipath errors have impact on single-frequency PPP. Our analysis indicate that about 1 m bias will be caused by these systematic errors. Then, we evaluated the improvement of single-frequency PPP accuracy after code multipath correction. The systematic errors of GEO code measurements are corrected by applying our proposed Kalman filter method. The systematic errors of IGSO and MEO code measurements are corrected by applying elevation-dependent model proposed by Wanninger and Beer. Ten days observations of four MGEX (Multi-GNSS Experiment) stations are processed. The results indicate that the single-frequency PPP accuracy can be improved remarkably by applying code multipath correction. The accuracy in up direction can be improved by 65% after IGSO and MEO code multipath correction. By applying GEO code multipath correction, the accuracy in up direction can be further improved by 15%.

Key words: BeiDou, single-frequency precise point positioning, Kalman filter, multipath, pseudo-range, accuracy analysis

CLC Number:

P228

WANG Jie, HE Xiyang. Correction Model of BeiDou Code Systematic Multipath Errors and Its Impacts on Single-frequency PPP[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(7): 841-847.

References

[1] 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[EB/OL]. 2.0版. 北京: 中国卫星导航系统管理办公室, [2016-10-23]. http://www.beidou.gov.cn/2013112127.html. CSNO. BeiDou Navigation Satellite System Signal in Space Interface Control Document, Open Service Signal[EB/OL]. (Version 2.0). Beijing: China Satellite Navigation Office[2016-10-23]. http://www.beidou.gov.cn/2013112127.html.
[2] 肖国锐, 隋立芬, 刘长建, 等. 北斗导航定位系统单点定位中的一种定权方法[J]. 测绘学报, 2014, 43(9): 902-907. DOI: 10.13485/j.cnki.11-2089.2014.0165. XIAO Guorui, SUI Lifen, LIU Changjian, et al. A Method of Determining the Weight Matrix for BeiDou Navigation Satellite System Single Point Positioning[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(9): 902-907. DOI: 10.13485/j.cnki.11-2089.2014.0165.
[3] 张小红, 左翔, 李盼, 等. BDS/GPS精密单点定位收敛时间与定位精度的比较[J]. 测绘学报, 2015, 44(3): 250-256. DOI: 10.11947/j.AGCS.2015.20130771. ZHANG Xiaohong, ZUO Xiang, LI Pan, et al. Convergence Time and Positioning Accuracy Comparison Between BDS and GPS Precise Point Positioning[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(3): 250-256. DOI: 10.11947/j.AGCS.2015.20130771.
[4] 朱永兴, 冯来平, 贾小林, 等. 北斗区域导航系统的PPP精度分析[J]. 测绘学报, 2015, 44(4): 377-383. DOI: 10.11947/j.AGCS.2015.20140082. ZHU Yongxing, FENG Laiping, JIA Xiaolin, et al. The PPP Precision Analysis Based on BDS Regional Navigation System[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(4): 377-383. DOI: 10.11947/j.AGCS.2015.20140082.
[5] HE Haibo,LI Jinlong, YANG Yuanxi, et al. Performance Assessment of Single-and Dual-Frequency BeiDou/GPS Single-epoch Kinematic Positioning[J]. GPS Solutions, 2013, 18(3): 393-403.
[6] TEUNISSEN P J G,ODOLINSKI R,ODIJK D. Instantaneous BeiDou+GPS RTK Positioning with High Cut-off Elevation Angles [J]. Journal of Geodesy, 2014, 88(4): 335-350.
[7] ZHANG Xiaohong, HE Xiyang. Performance Analysis of Triple-Frequency Ambiguity Resolution with BeiDou Observations[J]. GPS Solutions, 2016, 20(2): 1-13.
[8] HAUSCHILD A, MONTENBRUCK O, SLEEWAEGEN J M, et al. Characterization of Compass M-1 Signals[J]. GPS Solutions, 2012, 16(1): 117-126.
[9] MONTENBRUCK O,HAUSCHILD A, STEIGENBERGER P, et al. A COMPASS for Asia: First Experience with the BeiDou-2 Regional Navigation System[C]//Poster at IGS Workshop. Olsztyn, Poland, 2012.
[10] MONTENBRUCK O, RIZOS C, WEBER R, et al. Getting a Grip on Multi-GNSS—the International GNSS Service MGEX Campaign[J]. GPS World, 2013, 24(7): 44-49.
[11] WANG G, DE JONG K, LI X, et al. Analysis of Characteristics of BDS Observable Combinations for Wide-lane Integer Ambiguity Resolution[C]//SUN J, JIAO W, WU H,et al. Proceedings of China Satellite Navigation Conference (CSNC). Berlin, Heidelberg: Springer, 2014.
[12] ZHANG Xiaohong, HE Xiyang, LIU Wanke. Characteristics of Systematic Errors in the BDS Hatch-Melbourne-Wübbena Combination and Its Influence on Wide-lane Ambiguity Resolution[J]. GPS Solutions, 2016, 21(1): 265-277.
[13] WANNINGER L, BEER S. BeiDou Satellite-induced Code Pseudorange Variations: Diagnosis and Therapy[J]. GPS Solutions, 2015, 19(4): 639-648.
[14] WANG Guangxing, DE JONG K, ZHAO Qile, et al. Multipath Analysis of Code Measurements for BeiDou Geostationary Satellites[J]. GPS Solutions, 2014, 19(1): 129-139.
[15] HE Xiyang, ZHANG Xiaohong. Characteristics Analysis of BeiDou Melbourne-Wübbena Combination[C]//SUN Jiadong, LIU Jingnan, FAN Shiwei, et al. Proceedings of the China Satellite Navigation Conference (CSNC) 2015. Berlin, Heidelberg, Germany: Springer, 2015: 587-593.
[16] LOU Yidong, GONG Xiaopeng, GU Shengfeng, et al. Assessment of Code Bias Variations of BDS Triple-frequency Signals and Their Impacts on Ambiguity Resolution for Long Baselines[J]. GPS Solutions, 2017, 21(1): 177-186.
[17] 张小红, 李星星, 郭斐, 等. GPS单频精密单点定位软件实现与精度分析[J]. 武汉大学学报(信息科学版), 2008, 33(8): 783-787. ZHANG Xiaohong, LI Xingxing, GUO Fei, et al. Realization and Precision Analysis of Single-frequency Precise Point Positioning Software[J]. Geomatics and Information Science of Wuhan University, 2008, 33(8): 783-787.
[18] CHOY S, ZHANG K, SILCOCK D. An Evaluation of Various Ionospheric Error Mitigation Methods Used in Single Frequency PPP[J]. Journal of Global Positioning Systems, 2008, 7(1): 62-71.
[19] 涂锐, 黄观文, 张勤, 等. 利用单基准站改正信息和电离层参数估计的单频PPP算法[J]. 武汉大学学报(信息科学版), 2012, 37(2): 170-173, 182. TU Rui, HUANG Guanwen, ZHANG Qin, et al. PPP Algorithm of Single Frequency Based on Corrections of Single-Base Station and Ionospheric Parameters Estimation [J]. Geomatics and Information Science of Wuhan University, 2012, 37(2): 170-173, 182.
[20] 王利, 张勤, 涂锐, 等. 基于原始观测值的单频精密单点定位算法[J]. 测绘学报, 2015, 44(1): 19-25. DOI: 10.11947/j.AGCS.2015.20130315. WANG Li, ZHANG Qin, TU Rui, et al. A Kind of Single-frequency Precise Point Positioning Algorithm Based on the Raw Observations[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(1): 19-25. DOI: 10.11947/j.AGCS.2015.20130315.
[21] KEE C, PARKINSON B W. Calibration of Multipath Errors on GPS Pseudorange Measurements[C]//Proceedings of the 7th International Technical Meeting of the Satellite Division of the Institute of Navigation. Salt Lake City, UT: [s.n.], 1994: 353-362.
[22] ESTEY L H, MEERTENS C M. TEQC: the Multi-Purpose Toolkit for GPS/GLONASS Data[J]. GPS Solutions, 3(1): 42-49.
[23] SATIRAPOD C, RIZOS C. Multipath Mitigation By Wavelet Analysis for GPS Base Station Applications[J]. Survey Review, 2005, 38(295): 2-10.
[24] SOUZA E M, MONICO J F G, POLEZEL W G C, et al. An Effective Wavelet Method to Detect and Mitigate Low-Frequency Multipath Effects[C]//XU P, LIU J, DERMANIS A. Proceedings of International Association of Geodesy Symposia. Berlin, Heidelberg, Germany: Springer, 2008: 413-417.
[25] BORRE K, DE JONG K, PICHOT C. Subsidence Monitoring System Using Real-time GPS Sensors[C]//Proceedings of ION-GNSS-2001, The Institute of Navigation. Salt Lake City, Utah: [s.n.], 2001: 362-367.
[26] CHOI K, BILICH A, LARSON K M, et al. Modified Sidereal Filtering: Implications for High-Rate GPS Positioning[J]. Geophysical Research Letters, 2004, 31(22): L22608.
[27] MA X, SHEN Y. Multipath Analysis of COMPASS Triple Frequency Observations[C]//The International Symposium on GPS/GNSS. Xi'an: [s.n.], 2012.
[28] SAASTAMOINEN J. Atmospheric Correction for the Troposphere and Stratosphere in Radio Ranging Satellites[M]//HENRIKSEN S W, MANCINI A, CHOVITZ B H. The Use of Artificial Satellites for Geodesy. Virginia: AGU, 1972: 274-251.
[29] NIELL A E. Global Mapping Functions for the Atmosphere Delay at Radio Wavelengths[J]. Journal of Geophysical Research: Solid Earth, 1996, 101(B2): 3227-3246.