Single station velocity determination of BDS-3 carrier phase observations with the constraints of heading angle

doi:10.11947/j.AGCS.2023.20220355

Abstract

Abstract: Velocity information is one of key state representations of the vehicle motion. The high-accuracy and reliable velocity based on BDS-3 observation is the requirements of BDS-3 high performance. To overcome impacts of error accumulation and observation environment on the traditional time-difference carrier phase (TDCP) model, a single station velocity determination of BDS-3 carrier phase observations with the constraints of heading angle is proposed. Firstly, the differential function of the undifferenced observation equation is constructed beside the traditional BDS-3 TDCP model, which is combined to simultaneously estimate the displacement increment of two adjacent epochs. Secondly, the correlation between displacement increments of horizontal plane and heading angle is used to construct the constraints of N and E directions. Thirdly, the combination of three groups of independent function equations is used to obtain the incremental displacement of vehicle epoch by epoch. According to static and kinematic experiments, it is indicated that an accuracy with mm/s level of velocity determination can be achieved in different directions under BDS-3 phase observations. Compared with the traditional TDCP method, the proposed method can improve the velocity accuracy of E and N directions with 62.9% and 87.5%, respectively, in which the accuracy of U direction is not significantly improved or even slightly decreased. Meanwhile, under the kinematic condition, it is suggested that BDS-3 phase velocimetry can obtain the accuracy of mm/s level in the horizontal plane of linear motion, in which E and N direction are 35.2% and 21.8% better than the traditional TDCP model. Furthermore, the accuracy of E, N and U directions in change direction is 2.81, 2.03, 1.91 cm/s, respectively, which is 45.9%, 41.2% and 56.2% higher than that of the traditional model. Therefore, the proposed single station phase velocity determination model considering heading angle constraints can effectively improve the velocity determination performance of BDS-3 satellite system.

Key words: BDS-3, phase velocimetry, heading angle constraints, time-difference carrier phase, single station velocity determination

CLC Number:

P228

WANG Qianxin, HU Chao, WANG Zejie. Single station velocity determination of BDS-3 carrier phase observations with the constraints of heading angle[J]. Acta Geodaetica et Cartographica Sinica, 2023, 52(6): 871-883.

References

[1] 耿涛, 丁志辉, 谢新, 等. 基于载波相位差分的多频多GNSS测速精度评估[J]. 武汉大学学报(信息科学版), 2023,48(2): 206-213. GENG Tao, DING Zhihui, XIE Xin, et al. Accuracy assessment of multi-frequency and multi-GNSS velocity estimation with time differenced carrier phase method[J]. Geomatics and Information Science of Wuhan University, 2023, 48(2):206-213.
[2] 王潜心. 机载GNSS动态定位定速与定姿理论及算法研究[J]. 测绘学报, 2012, 41(4): 627. WANG Qianxin. Theory and algorithm of airborne GNSS kinematic position, velocity and attitude determination[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(4):627.
[3] WANG Qianxin, XU Tianhe. Combining GPS carrier phase and doppler observations for precise velocity determination[J]. Science China Physics, Mechanics and Astronomy, 2011, 54(6):1022-1028.
[4] LIU Zhizhao, GONG Yangzhao, ZHOU Letao. Impact of China's high speed train window glass on GNSS signals and positioning performance[J].Satellite Navigation, 2020, 1(1):1-16.
[5] HE Kaifei, XU Tianhe, FÖRSTEC, et al. Integrated GNSS Doppler velocity determination for GEOHALO airborne gravimetry[J].GPS Solutions, 2021,25(4): 1-12.
[6] SUN Rui, CHENG Qi, WANG Junhui. Precise vehicle dynamic heading and pitch angle estimation using time-differenced measurements from a single GNSS antenna[J].GPS Solutions, 2020, 24(3): 1-9.
[7] CHANG G, QIAN N, CHEN C. Precise instantaneous velocimetry and accelerometry with a stand-alone GNSS receiver based on sparse kernel learning[J]. Measurement, 2020, 159: 107803.
[8] WANG J, HAN H, LIU F, et al. Performance analysis of GNSS/MIMU tight fusion positioning model with complex scene feature constraints[J]. Journal of Geodesy and Geoinformation Science, 2021, 4(2)1-13.
[9] YANG Yuanxi, MAO Yue, SUN Bijiao. Basic performance and future developments of BeiDou global navigation satellite system[J].Satellite Navigation, 2020, 1(1): 1-8.
[10] 郭树人, 蔡洪亮, 孟轶男, 等. 北斗三号导航定位技术体制与服务性能[J]. 测绘学报, 2019, 48(7): 810-821.DOI: 10.11947/j.AGCS.2019.20190091. GUO Shuren, CAI Hongliang, MENG Yinan, et al. BDS-3 RNSS technical characteristics and service performance[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(7): 810-821. DOI: 10.11947/j.AGCS.2019.20190091.
[11] SOONBK H, SCHEDING S, LEE H K, et al. An approach to aid INS using time-differenced GPS carrier phase (TDCP) measurements[J]. GPS Solutions, 2008, 12(4): 261-271.
[12] 王潜心. 机载GPS动态定位定速与定姿理论研究及软件开发[D]. 长沙:中南大学, 2011. WANG Qianxin. Research of airborne GPS kinematic position velocity and attitude determination and software development[D]. Changsha: Central South University, 2011.
[13] TU Rui, ZHANG Rui, ZHANG Pengfei, et al. Recover the abnormal positioning, velocity and timing services caused by BDS satellite orbital maneuvers[J].Satellite Navigation, 2021, 2(1): 1-11.
[14] 刘晗, 魏辉, 邹贤才. GRACE Follow-On卫星的星载GNSS相位测速法[J]. 测绘学报, 2021, 50(12): 1772-1779. DOI: 10.11947/j.AGCS.2019.20190091. LIU Han, WEI Hui, ZOU Xiancai. Precise GNSS phase velocity determination for GRACE Follow-On satellites[J]. Acta Geodaetica et Cartographica Sinica, 2021, 50(12): 1772-1779. DOI: 10.11947/j.AGCS.2019.20190091.
[15] 何海波, 杨元喜, 孙中苗. 几种GPS测速方法的比较分析[J]. 测绘学报, 2002, 31(3): 217-221. HE Haibo, YANG Yuanxi, SUN Zhongmiao. A comparison of several approaches for velocity determination with GPS[J]. Acta Geodaetica et Cartographica Sinica, 2002, 31(3): 217-221.
[16] FREDA P, ANGRISANO A, GAGLIONE S, et al. Time-differenced carrier phases technique for precise GNSS velocity estimation[J]. GPS Solutions, 2015, 19(2): 335-341.
[17] YU Wenkun, DING Xiaoli, CHEN Wu, et al. Precise point positioning with mixed use of time-differenced and undifferenced carrier phase from multiple GNSS[J]. Journal of Geodesy, 2019, 93(6): 809-818.
[18] LI Xingxing, GE Maorong, GUO Bofeng, et al. Temporal point positioning approach for real-time GNSS seismology using a single receiver[J]. Geophysical Research Letters, 2013, 40(21): 5677-5682.
[19] SERRANO L, KIM D, LANGLEY R B. A single GPS receiver as a real-time, accurate velocity and acceleration sensor[C]//Proceedings of the 17th International Technical Meeting of the Satellite Division of the Institute of Navigation. Long Beach: [s.n.], 2004: 2021-2034.
[20] FREDA P, ANGRISANO A, GAGLIONE S, et al. Time-differenced carrier phases technique for precise GNSS velocity estimation[J]. GPS Solutions, 2015, 19(2): 335-341.
[21] FORD T J, HAMILTON J. A new positioning filter: phase smoothing in the position domain[J]. Navigation, 2003, 50(2): 65-78.
[22] BISNATH S, LANGLEY B. High-precision platform positioning with a single GPS receiver[C]//Proceedings of the 14th International Technical Meeting of the Satellite Division of the Institute of Navigation. Salt Lake City: [s.n.], 2001: 2585-2593.
[23] DING Weidong, WANG Jinling. Precise velocity estimation with a stand-alone GPS receiver[J]. Journal of Navigation, 2011, 64(2): 311-325.
[24] 尹潇,柴洪洲,向明志,等. 历元间载波相位差分的GPS/BDS精密单点测速算法[J]. 中国惯性技术学报,2020,28(2): 226-230. YI Xiao, CHAI Hongzhou, XIANG Mingzhi, et al. GPS/BDS precise standalone velocity determination using time-differenced carrier phases[J]. Journal of Chinese Inertial Technology, 2020, 28(2): 226-230.
[25] COLOSIMO G, CRESPI M, MAZZONI A. Real-time GPS seismology with a stand-alone receiver: a preliminary feasibility demonstration[J]. Journal of Geophysical Research: Solid Earth, 2011, 116(B11): 302.
[26] LI Xingxing, GE Maorong, GUO Bofeng, et al. Temporal point positioning approach for real-time GNSS seismology using a single receiver[J]. Geophysical Research Letters, 2013, 40(21): 5677-5682.
[27] 王泽杰, 王潜心, 商天文. 基于北斗三号卫星非差多普勒观测信号的优化测速模型[J]. 电信科学, 2021, 37(12):42-50. WANG Zejie, WANG Qianxin, SHANG Tianwen. Optimal velocity estimation model based on non-differential Doppler observations from BDS-3 satellites[J]. Telecommunications Science, 2021, 37(12):42-50.
[28] 易清根, 林国利, 席毅, 等. 北斗载波相位差分的高频测速[J]. 测绘科学, 2019, 44(12): 116-120. YI Qinggen, LIN Guoli, XI Yi, et al. High frequency speed measurement based on BDS carrier phase difference[J]. Science of Surveying and Mapping, 2019, 44(12): 116-120.
[29] 耿江辉, 常华, 郭将, 等. 面向城市复杂环境的3种多频多系统GNSS单点高精度定位方法及性能分析[J]. 测绘学报, 2020, 49(1):1-13. DOI: 10.11947/j.AGCS.2020.20190106. GENG Jianghui, CHAGN Hua, GUO Jiang, et al. Three multi-frequency and multi-system GNSS high-precision point positioning methods and their performance in complex urban environment[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(1):1-13. DOI: 10.11947/j.AGCS.2020.20190106.
[30] SOONBK H, SCHEDING S, LEEH K, et al. An approach to aid INS using time-differenced GPS carrier phase (TDCP) measurements[J]. GPS Solutions, 2008, 12(4): 261-271.
[31] WANG Qianxin. Integrated carrier phase and Doppler observations of GPS and GLONASS for precise velocity determination[C]//Proceedings of the 24th International Technical Meeting of the Satellite Division of the Institute of Navigation. Oregon: [s.n.], 2011, 3: 2303-2309.
[32] WANG, XU T, XU G. HALO_GPS (high altitude and long range airborne GPS positioning software)-software user manual, scientific technical report[M]. Berlin: German Research Centre for Geosciences, 2010.
[33] HU Chao, WANG Qianxin, WANG Zhongyuan, et al. New-generation BeiDou (BDS-3) experimental satellite precise orbit determination with an improved cycle-slip detection and repair algorithm[J]. Sensors, 2018, 18(5): 1402.