FCB Estimation and Ambiguity Resolution of BDS-3

LI Haodong; ZHAO Qile; TAO Jun; LONG Yuhao

doi:10.13203/j.whugis20200168

Volume 47 Issue 9

Sep. 2022

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Geomatics and Information Science of Wuhan University > 2022 > 47(9): 1439-1446. > DOI: 10.13203/j.whugis20200168

LI Haodong, ZHAO Qile, TAO Jun, LONG Yuhao. FCB Estimation and Ambiguity Resolution of BDS-3[J]. Geomatics and Information Science of Wuhan University, 2022, 47(9): 1439-1446. DOI: 10.13203/j.whugis20200168

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FCB Estimation and Ambiguity Resolution of BDS-3

LI Haodong^1,,
ZHAO Qile¹,
TAO Jun^{2, 3, ,},
LONG Yuhao²

1.
GNSS Research Center, Wuhan University, Wuhan 430079, China
2.
School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China
3.
Shanghai Key Laboratory of Space Navigation and Positioning Techniques, Shanghai 200030, China

Funds:

The National Key Research and Development Program of China 2017YFB0503400

the National Natural Science Foundation of China 41774035

the National Natural Science Foundation of China 41674004

More Information

Author Bio:
LI Haodong, master, mainly engaged in precise GNSS positioning technology. E-mail: haodongli@whu.edu.cn
Corresponding author:
TAO Jun, PhD candidate. E-mail: jtaowhu@whu.edu.cn
Received Date: December 12, 2021
Available Online: February 18, 2022
Published Date: September 04, 2022

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Abstract

Abstract

Objectives Precise point positioning (PPP) combines the advantages of standard point position‍ing (SPP) and relative positioning, which can achieve centimeter level positioning. With the development of BeiDou satellite navigation system (BDS), more and more BDS satellites begin to provide global positioning, navigation and timing services, which also promotes the development of multi-frequency and multi-system PPP. For a long time, because of the atmospheric delay and hardware delay of satellite and receiver, the ambiguity of PPP is not an integer. PPP needs a long time to converge, which greatly lim‍its its application.The ambiguity can be restored to integer and the convergence time can be shortened with the help of fractional cycle bias (FCB).
Methods In order to improve the effect of precise point positioning-ambiguity resolution (PPP-AR) of BDS as a whole, we estimate the FCBs of GPS and BDS based on the observation data from August 1 to August 31 in 2020 of globally distributed stations. The single difference between satellites is used to eliminate the influence of hardware delay at the receivers, and the single differ‍ence ambiguity vector is solved by the whole network adjustment to obtain the FCB estimation of each satellite.
Results The results of the time series of BDS-3 wide lane (WL) and narrow lane (NL) FCBs show that the WL FCBs has long-term stability, the change of BDS-3 WL FCBs in 31 days is less than 0.2 weeks, and the change of GPS WL FCBs is less than 0.1 weeks. The FCBs of BDS-3 NL can keep stable for a period of time, and the change is less than 0.1 weeks. The percentages of GPS WL and NL FCBs residuals within 0.15 weeks are 99.8% and 99.3% respectively, and the percentages of BDS-3 are 99.7% and 98.1% respectively. In order to reflect the improvement effect of FCBs on PPP, static and dynamic PPP-AR tests were carried out at 8 stations around the world. The results show that under the static condition, the average fixed time and convergence time of BDS-3 are 31.5 min and 24.9 min respectively, which is 24.8% shorter than the float PPP. The errors in E, N and U directions are 1.03 cm, 0.60 cm and 1.72 ‍cm respectively, and the fixed rate is 89.8%. Under the dynamic condition, the average fixed time and convergence time of BDS-3 are 33.3 min and 50.7 min respectively, which is 17.4% shorter than the float PPP. The errors in E, N and U directions are 2.57 cm, 2.29 cm and 3.71 cm respectively, and the fixed rate is 83.9%.
Conclusions PPP-AR can shorten the convergence time of PPP to a certain extent, but the improvement of positioning accuracy is not obvious after complete convergence. BDS-3 FCBs stability is lim‍it‍ed by precision products and observation data, and its PPP-AR is slightly worse than GPS.
- BeiDou navigation satellite system(BDS),
- fractional cycle bias,
- precise point positioning,
- ambiguity resolution

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References (22)

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 doi: 10.1029/96JB03860
[2]	Geng J H, Shi C, Ge M R, et al. Improving the Estimation of Fractional-Cycle Biases for Ambiguity Resolution in Precise Point Positioning[J]. Journal of Geodesy, 2012, 86(8): 579-589 doi: 10.1007/s00190-011-0537-0
[3]	张辉, 郝金明, 刘伟平, 等. 估计接收机差分码偏差的GPS/BDS非组合精密单点定位模型[J]. 武汉大学学报·信息科学版, 2019, 44(4): 495-500 doi: 10.13203/j.whugis20170119 Zhang Hui, Hao Jinming, Liu Weiping, et al. GPS/ BDS Precise Point Positioning Model with Receiver DCB Parameters for Raw Observations[J]. Geomatics and Information Science of Wuhan University, 2019, 44(4): 495-500 doi: 10.13203/j.whugis20170119
[4]	Montenbruck O, Steigenberger P, Prange L, et al. The Multi-GNSS Experiment(MGEX)of the International GNSS Service(IGS): Achievements, Prospects and Challenges[J]. Advances in Space Research, 2017, 59(7): 1671-1697 doi: 10.1016/j.asr.2017.01.011
[5]	赵昂, 杨元喜, 许扬胤, 等. GNSS单系统及多系统组合完好性分析[J]. 武汉大学学报·信息科学版, 2020, 45(1): 72-80 doi: 10.13203/j.whugis20180425 Zhao Ang, Yang Yuanxi, Xu Yangyin, et al. Integrity Analysis of GNSS Single System and Multi-System Combination[J]. Geomatics and Information Science of Wuhan University, 2020, 45(1): 72-80 doi: 10.13203/j.whugis20180425
[6]	Shi C, Zhao Q L, Hu Z G, et al. Precise Relative Positioning Using Real Tracking Data from COM PASS GEO and IGSO Satellites[J]. GPS Solutions, 2013, 17(1): 103-119 doi: 10.1007/s10291-012-0264-x
[7]	何义磊. 北斗三号最简系统卫星信号质量分析[J]. 武汉大学学报·信息科学版, 2020, 45 (3): 394-402 doi: 10.13203/j.whugis20180379 He Yilei. Quality Analysis of Satellite Signal for BDS-3 Simplest System[J]. Geomatics and Information Science of Wuhan University, 2020, 45(3): 394-402 doi: 10.13203/j.whugis20180379
[8]	Li X X, Zhang X H. Improving the Estimation of Uncalibrated Fractional Phase Offsets for PPP Ambiguity Resolution[J]. Journal of Navigation, 2012, 65(3): 513-529 doi: 10.1017/S0373463312000112
[9]	Li P, Zhang X H, Guo F. Ambiguity Resolved Precise Point Positioning with GPS and BeiDou[J]. Journal of Geodesy, 2017, 91(1): 25-40 doi: 10.1007/s00190-016-0935-4
[10]	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 doi: 10.1007/s00190-007-0187-4
[11]	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 doi: 10.1002/j.2161-4296.2009.tb01750.x
[12]	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 doi: 10.1002/j.2161-4296.2010.tb01772.x
[13]	Geng J H, Meng X L, Dodson A H, et al. Integer Ambiguity Resolution in Precise Point Positioning: Method Comparison[J]. Journal of Geodesy, 2010, 84(9): 569-581 doi: 10.1007/s00190-010-0399-x
[14]	Shi J B, Gao Y. A Comparison of Three PPP Integer Ambiguity Resolution Methods[J]. GPS Solutions, 2014, 18(4): 519-528 doi: 10.1007/s10291-013-0348-2
[15]	Zhang X H, Wu M K, Liu W K, et al. Initial Assessment of the COMPASS/BeiDou-3: New-Generation Navigation Signals[J]. Journal of Geodesy, 2017, 91(10): 1225-1240 doi: 10.1007/s00190-017-1020-3
[16]	Wanninger L, Beer S. BeiDou Satellite-Induced Code Pseudorange Variations: Diagnosis and Therapy[J]. GPS Solutions, 2015, 19(4): 639-648 doi: 10.1007/s10291-014-0423-3
[17]	楼益栋, 龚晓鹏, 辜声峰, 等. 北斗卫星伪距码偏差特性及其影响分析[J]. 武汉大学学报·信息科学版, 2017, 42(8): 1040-1046 doi: 10.13203/j.whugis20150107 Lou Yidong, Gong Xiaopeng, Gu Shengfeng, et al. The Characteristic and Effect of Code Bias Variations of BeiDou[J]. Geomatics and Information Science of Wuhan University, 2017, 42(8): 1040 1046 doi: 10.13203/j.whugis20150107
[18]	Li X X, Li X, Yuan Y Q, et al. Multi-GNSS Phase Delay Estimation and PPP Ambiguity Resolution: GPS, BDS, GLONASS, Galileo[J]. Journal of Geodesy, 2018, 92(6): 579-608 doi: 10.1007/s00190-017-1081-3
[19]	Liu Y Y, Ye S R, Song W W, et al. Estimating the Orbit Error of BeiDou GEO Satellites to Improve the Performance of Multi-GNSS PPP Ambiguity Resolution[J]. GPS Solutions, 2018, 22(3), DOI:org/ 10.1007/s10291-018-0751-9
[20]	Qu L Z, Du M Y, Wang J, et al. Precise Point Positioning Ambiguity Resolution by Integrating BDS 3e into BDS-2 and GPS[J]. GPS Solutions, 2019, 23(3), DOI: org/ 10.1007/s10291-019-0854-y
[21]	Jiang W P, Zhao W, Chen H, et al. Analysis of BDS Fractional Cycle Biases and PPP Ambiguity Resolution[J]. Sensors (Basel, Switzerland), 2019, 19(21), DOI: org/org/ 10.3390/s19214725
[22]	Hu J H, Zhang X H, Li P, et al. Multi-GNSS Fractional Cycle Bias Products Generation for GNSS Ambiguity-Fixed PPP at Wuhan University[J]. GPS Solutions, 2019, 24(1), DOI: org/ 10.1007/s10291-019-0929-9

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