BDS-3 cycle slip and data gap repair based on the geometry-free ionosphere-filter model

doi:10.11947/j.AGCS.2022.20220036

Abstract

Abstract: High-accurate positioning service relies on carrier phase observations with ambiguities correctly fixed. However, the cycle slips and data gaps caused by environment complexity enhance the challenges for ambiguity resolution and data processing. BDS-3 system broadcasts the quad- and penta-frequency signals all over the world, providing an opportunity to improve the performance of cycle slip processing. Firstly, we establish the pseudorange-to-phase and phase-to-phase geometry-free combination models to detect the extra-wide-lane (EWL) and narrow-lane (NL) cycle slips, respectively. With maximizing the success rate of cycle slips detection, the optimal EWL and NL combinations are determined. Since the ionospheric delay is the key to limit the detection of NL cycle slip and data gap in case of active ionospheric situation, a filtering model with assimilating the ionospheric effects is then developed. The experiment results show as follows. For the sampling interval of 30 s, the geometry-free based model can obtain the success rate as large as 96% for both EWL and NL cycle slip detection. While for the data gap of 3 min, the geometry-free based NL cycle slip detection can only achieve the success rate of 70%, but it can be improved to larger than 95% by the ionospheric delay compensated filtering model.

Key words: BDS-3, cycle slip, data gap, Kalman filtering, ionospheric delay, quad- and penta-frequency

CLC Number:

P228

LI Bofeng, QIN Yuanyang, CHEN Guang'e. BDS-3 cycle slip and data gap repair based on the geometry-free ionosphere-filter model[J]. Acta Geodaetica et Cartographica Sinica, 2022, 51(4): 501-510.

References

[1] MELBOURNE W. The case for ranging in GPS-based geodetic systems[C]//Proceedings of the 1st International Symposium on Precise Positioning with the Global Positioning System. Rockville, USA:[s.n.], 1985: 373-386.
[2] WUBBENA G. Software developments for geodetic positioning with GPS using TI 4100 code and carrier measurements[C]//Proceedings of the 1st International Symposium on Precise Positioning with the Global Positioning System. Rockville, USA:[s.n.], 1985: 403-412.
[3] BLEWITT G. An automatic editing algorithm for GPS data [J]. Geophysical Research Letters, 1990, 17(3): 199-202.
[4] 王振杰, 聂志喜, 欧吉坤. 一种基于TurboEdit改进的GPS双频观测值周跳探测方法[J]. 武汉大学学报(信息科学版), 2014, 39(9): 1017-1021. WANG Zhenjie, NIE Zhixi, OU Jikun. An improved GPS dual-frequency observation cycle slips detection method based on TurboEdit [J]. Geomatics and Information Science of Wuhan University, 2014, 39(9): 1017-1021.
[5] 吴继忠, 施闯, 方荣新. TurboEdit单站GPS数据周跳探测方法的改进[J]. 武汉大学学报(信息科学版), 2011, 36(1): 29-33. WU Jizhong, SHI Chuang, FANG Rongxin. Improvement of cycle slips detection method for TurboEdit single station GPS data [J]. Geomatics and Information Science of Wuhan University, 2011, 36(1): 29-33.
[6] 刘宁, 熊永良, 徐韶光. 利用改进的TurboEdit算法与Chebyshev多项式探测与修复周跳[J]. 武汉大学学报(信息科学版), 2011, 36(12): 1500-1503. LIU Ning, XIONG Yongliang, XU Shaoguang. Detection and repair of cycle slips using improved TurboEdit algorithm with Chebyshev polynomials [J]. Geomatics and Information Science of Wuhan University, 2011, 36(12): 1500-1503.
[7] TEUNISSEN P J G, DE BAKKER P F D. Single-receiver single-channel multi-frequency GNSS integrity: outliers, slips, and ionospheric disturbances [J]. Journal of Geodesy, 2013, 87(2): 161-177.
[8] ZHANG Xiaohong, LI Pan. Benefits of the third frequency signal on cycle slip correction [J]. GPS Solutions, 2015, 20(3): 451-460.
[9] 李金龙, 杨元喜, 徐君毅,等. 基于伪距相位组合实时探测与修复GNSS三频非差观测数据周跳[J].测绘学报, 2011, 40(6): 717-722. LI Jinlong, YANG Yuanxi, XU Junyi, et al. Real-time cycle-slip detection and repair based on code-phase combinations for GNSS triple-frequency undifferenced observations [J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(6):717-722.
[10] 黄令勇, 宋力杰, 王琰,等. 北斗三频无几何相位组合周跳探测与修复[J]. 测绘学报, 2012, 41(5):763-768. HUANG Lingyong, SONG Lijie, WANG Yan, et al. BeiDou triple-frequency geometry-free phase combination for cycle-slip detection and correction[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(5):763-768.
[11] LACY M, REGUZZONI M, SANSÒ F. Real-time cycle slip detection in triple-frequency GNSS [J]. GPS Solutions, 2012 16(3):353-362.
[12] LIU Zhitao. A new automated cycle slip detection and repair method for a single dual-frequency GPS receiver [J]. Journal of Geodesy, 85(3):171-183.
[13] LI Bofeng, QIN Yanan, LI Zhen, et al. Undifferenced cycle slip estimation of triple-frequency BeiDou signals with ionosphere prediction [J]. Marine Geodesy, 2016, 39(5):348-365.
[14] ZHANG Xiaohong,LI Xingxing. Instantaneous re-initialization in real-time kinematic PPP with cycle slip fixing [J]. GPS Solutions, 2012, 16(3):315-327.
[15] LI Bofeng, QIN Yanan, LIU Tianxia. Geometry-based cycle slip and data gap repair for multi-GNSS and multi-frequency observations [J]. Journal of Geodesy, 2019,93: 399-417.
[16] YANG Yuanxi, XU Yangyin, LI Jinlong, et al. Progress and performance evaluation of BeiDou global navigation satellite system: data analysis based on BDS-3 demonstration system [J]. Science China Earth Sciences, 2018, 61(5): 614-624.
[17] ZHANG Zhiteng, LI Bofeng, NIE Liangwei, et al. Initial assessment of BeiDou-3 global navigation satellite system: signal quality, RTK and PPP [J]. GPS Solutions, 2019, 23(4): 111-123.
[18] LI Bofeng, ZHANG Zhiteng, MIAO Weikai, et al. Improved precise positioning with BDS-3 quad-frequency signals [J]. Satellite Navigation, 2020, 1(1): 328-337.
[19] LIU Xianglin, TIBERIUS Christian, JONG KD. Modelling of differential single difference receiver clock bias for precise positioning [J]. GPS Solutions, 2004, 7(4):209-221.
[20] ZHOU Zebo, LI Bofeng. Optimal Doppler-aided smoothing strategy for GNSS navigation [J]. GPS Solutions, 2017, 21(1):197-210.
[21] ZANG Nan, LI Bofeng, NIE Liangwei, et al. Inter-system and inter-frequency code biases: simultaneous estimation, daily stability and applications in multi-GNSS single-frequency precise point positioning [J]. GPS Solutions, 2020, 24(1): 18-30.
[22] LI Bofeng, LI Zhen, ZHANG Zhiteng, et al. ERTK: extra-wide-lane RTK of triple-frequency GNSS signals [J]. Journal of Geodesy 2017, 91(9):1031-1047.
[23] TEUNISSEN P J G. Integer estimation in the presence of biases [J]. Journal of Geodesy, 2001, 75(7):399-407.
[24] LI Bofeng, SHEN Yunzhong, FENG Yanming, et al. GNSS ambiguity resolution with controllable failure rate for long baseline network RTK [J]. Journal of Geodesy, 2014, 88(2):99-112.