Estimation and Application of Single Difference FCB for Full Constellation Using One Reference Satellite

doi:10.11947/j.AGCS.2018.20170519

Abstract

Abstract: The single-difference FCB is applied to the ambiguity resolution of precise point position,which can improve the positioning accuracy and speed up the convergence.However,due to the earth block,one satellite cannot form common views with other satellites,which means one reference satellite cannot get all the single-difference FCB.If single-difference FCB of multiple reference satellites is broadcast as a supplement,the burden of data transmission will be increased.Considering the availability and data volume,this paper proposes an improved FCB generation method.Based on the principle of differential transfer,it converts the single-difference FCB's of different reference satellites into a common one.Then it uses the robust estimation based on the GPHASE initial value to merge the converted FCB.In this paper,15 days data from IGS monitoring network are selected to generate the improved FCB and the fixed solution PPP is implemented.The experimental results show that the improved single-difference FCB of one reference satellite can meet the application requirements.Stability and availability of the improved FCB is better than that of traditional single-difference FCB,and the difference compared with existing FCB product is less than 0.04 cycle.Using the improved FCB,users can achieve a fixed solution PPP with a horizontal accuracy better than 1 cm and a vertical accuracy better than 2 cm in static mode.The kinematic PPP can achieve the 3D positioning accuracy within 5 cm in about 15 minutes.

Key words: precise point positioning, inter-satellite single difference, fractional cycle bias, reference satellite conversion, robust estimation

CLC Number:

P228

JIAO Bo, HAO Jinming, LIU Weiping, ZHANG Hui, WEN Xufeng, SHI Yishuai. Estimation and Application of Single Difference FCB for Full Constellation Using One Reference Satellite[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(10): 1326-1336.

References

[1] ZUMBERGE J F, HEFLIN M B, JEFFERSON D C, et al. Precise Point Positioning for the Efficient and Robust Analysis of GPS Data from Large Networks[J]. Journal of Geophysical Research Solid Earth, 1997, 102(B3):5005-5017.
[2] TEUNISSEN P J G, KHODABANDEH A. Review and Principles of PPP-RTK Methods[J]. Journal of Geodesy, 2015, 89(3):217-240.
[3] 宋超. 精密单点定位快速收敛技术与方法研究[D]. 郑州:信息工程大学, 2015:1-164. SONG Chao. Technologies and Methods on Rapid Convergence of Precise Point Positioning[D]. Zhengzhou:Information Engineering University, 2015:1-164.
[4] GE M, GENDT G, ROTHACHER M, et al. Resolution of GPS Carrier-phase Ambiguities in Precise Point Positioning (PPP) with Daily Observations[J]. Journal of Geodesy, 2008, 82(7):389-399.
[5] LAURICHESSE D, MERCIER F, BERTHIAS J P, et al. Integer Ambiguity Resolution on Undifferenced GPS Phase Measurements and Its Application to PPP and Satellite Precise Orbit Determination[J]. Navigation, 2009, 56(2):135-149.
[6] COLLINS P, BISNATH S, LAHAYE F, et al. Undifferenced GPS Ambiguity Resolution Using the Decoupled Clock Model and Ambiguity Datum Fixing[J]. Navigation, 2010, 57(2):123-135.
[7] ODIJK D, ZHANG B, KHODABANDEH A, et al. On the Estimability of Parameters in Undifferenced, Uncombined GNSS Network and PPP-RTK User Models by Means of S-system Theory[J]. Journal of Geodesy, 2016, 90(1):15-44.
[8] SHI Junbo, GAO Yang. A Comparison of Three PPP Integer Ambiguity Resolution Methods[J]. GPS Solutions, 2014, 18(4):519-528.
[9] GABOR M J, NEREMR S. GPS Carrier Phase Ambiguity Resolution Using Satellite-Satellite Single Differences[C]//Proceedings of the 12th International Technical Meeting of the Satellite Division of the Institute of Navigationion Nashville, TNUS,:ION, 1999, pp:1569-1578.
[10] 张小红, 李星星. 非差模糊度整数固定解PPP新方法及实验[J]. 武汉大学学报(信息科学版), 2010, 35(6):657-660. ZHANG Xiaohong, LI Xingxing. A New Method for Zero-differenced Interger Ambiguity Resolution and Its Application to PPP[J]. Geomatics and Information Science of Wuhan University, 2010, 35(6):657-660.
[11] 李盼. GNSS精密单点定位模糊度快速固定技术和方法研究[D]. 武汉:武汉大学, 2016:1-134. LI Pan. Research on Methodology of Rapid Ambiguity Resolution for GNSS Precise Point Positioning[D]. Wuhan:Wuhan University, 2016:1-134.
[12] GENG Jianghui, TEFERLE F N, SHI C, et al. Ambiguity Resolution in Precise Point Positioning with Hourly Data[J]. GPS Solutions, 2009, 13(4):263-270.
[13] LI Xingxing, GE Maorong, ZHANG Hongping, et al. A Method for Improving Uncalibrated Phase Delay Estimation and Ambiguity-fixing in Real-time Precise Point Positioning[J]. Journal of Geodesy, 2013, 87(5):405-416.
[14] 潘宗鹏, 柴洪洲, 刘军, 等. 基于部分整周模糊度固定的非差GPS精密单点定位方法[J]. 测绘学报, 2015, 44(11):1210-1218. DOI:10.11947/j.AGCS.2015.20150056. PAN Zongpeng, CHAI Hongzhou, LIU Jun, et al. GPS Partial Ambiguity Resolution Method for Zero-difference Precise Point Positioning[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(11):1210-1218. DOI:10.11947/j.AGCS.2015.20150056.
[15] LI Yihe, GAO Yang, SHI Junbo. Improved PPP Ambiguity Resolution by COES FCB Estimation[J]. Journal of Geodesy, 2016, 90(5):437-450.
[16] 李林阳, 崔阳, 王宇谱, 等. 窄巷FCB估计方法改进及时变特性分析[J]. 测绘学报, 2017, 46(1):34-43. DOI:10.11947/j.AGCS.2017.20160222. LI Linyang, CUI Yang, WANG Yupu, et al. Improvement of Narrow-lane Fractional Cycle Bias Estimation and Analysis of Its Time-varying Property[J]. Acta Geodaetica et Cartogr-aphica Sinica, 2017, 46(1):34-43. DOI:10.11947/j.AGCS.2017.20160222.
[17] 张小红, 李盼, 李星星, 等. 宽巷载波相位模糊度小数偏差时变特性分析[J]. 测绘学报, 2013, 42(6):798-803, 809. ZHANG Xiaohong, LI Pan, LI Xingxing, et al. An Analysis of Time-varying Property of Wide-lane Carrier Phase Ambiguity Fractional Bias[J]. Acta Geodaetica et Cartographica Sinica, 2013, 42(6):798-803, 809.
[18] 黄维彬. 近代平差理论及其应用[M]. 北京:解放军出版社, 1992:1-525. HUANG Weibin. Modern Adjustment Theory and Its Application[M]. Beijing:PLA Publishing House, 1992:1-525.
[19] 杨元喜. 自适应抗差最小二乘估计[J]. 测绘学报, 1996, 25(3):206-211. YANG Yuanxi. Adaptively Robust Least Squares Estimation[J]. Acta Geodaetica et Cartographica Sinica, 1996, 25(3):206-211.
[20] 杨玲, 沈云中, 楼立志. 基于中位参数初值的等价权抗差估计方法[J]. 测绘学报, 2011, 40(1):28-32. YANG Ling, SHEN Yunzhong, LOU Lizhi. Equivalent Weight Robust Estimation Method Based on Median Parameter Estimates[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(1):28-32.
[21] GABOR M J, NEREM R S. Satellite-satellite Single-difference Phase Bias Calibration as Applied to Ambiguity Resolution[J]. Navigation, 2002, 49(4):223-242.
[22] LOYER S, PEROSANZ F, MERCIER F, et al. Zero-difference GPS Ambiguity Resolution at CNES-CLS IGS Analysis Center[J]. Journal of Geodesy, 2012, 86(11):991-1003.
[23] International GNSS Service (IGS). Igs08_1930. atx[DB/OL]. (2017-01-07)[2017-09-05]. ftp://igs.org/pub/station/general/.
[24] 刘帅, 孙付平, 郝万亮, 等. 整数相位钟法精密单点定位模糊度固定模型及效果分析[J]. 测绘学报, 2014, 43(12):1230-1237. DOI:10.13485/j.cnki.11-2089.2014.0195. LIU Shuai, SUN Fuping, HAO Wanliang, et al. Modeling and Effects Analysis of PPP Ambiguity Fixing Based on Integer Phase Clock Method[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(12):1230-1237. DOI:10.13485/j.cnki.11-2089.2014.0195.
[25] ZHANG Xiaohong, LI Pan, GUO Fei. Ambiguity Resolution in Precise Point Positioning with Hourly Data for Global Single Receiver[J]. Advances in Space Research, 2013, 51(1):153-161.