三频非组合模型的GPS/BDS/Galileo精密定轨

doi:10.11947/j.AGCS.2021.20200159

测绘学报 ›› 2021, Vol. 50 ›› Issue (2): 169-180.doi: 10.11947/j.AGCS.2021.20200159

三频非组合模型的GPS/BDS/Galileo精密定轨

曾添^1,2,3, 隋立芬², 阮仁桂^3,4, 贾小林^3,4, 肖国锐²

1. 93216部队, 北京 100085;
2. 信息工程大学, 河南郑州 450001;
3. 地理信息工程国家重点实验室, 陕西西安 710054;
4. 西安测绘研究所, 陕西西安 710054

收稿日期:2020-04-24 修回日期:2020-07-29 发布日期:2021-03-03
作者简介:曾添(1992-),男,博士,工程师,研究方向为卫星精密定轨与定位。E-mail:tattian@126.com
基金资助:
国家自然科学基金（41674016；41704035；41874041；41904039）；地理信息工程国家重点实验室基金（SKLGIE2018-M-2-1）

GPS/BDS/Galileo precise orbit determination using triple-frequency uncombined observation model

ZENG Tian^1,2,3, SUI Lifen², RUAN Rengui^3,4, JIA Xiaolin^3,4, XIAO Guorui²

1. Troops 93216, Beijing 100085, China;
2. Information Engineering University, Zhengzhou 450001, China;
3. State Key Laboratory of Geo-Information Engineering, Xi'an 710054, China;
4. Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China

Received:2020-04-24 Revised:2020-07-29 Published:2021-03-03
Supported by:
The National Natural Science Foundation of China (Nos. 41674016;41704035;41874041;41904039);The Open Fund of the State Key Laboratory of Geo-Information Engineering (No. SKLGIE2018-M-2-1)

摘要/Abstract

摘要： 四大GNSS导航卫星系统发播三频及以上观测数据成为必然趋势。本文基于IGS钟差基准研究了三频非组合（UC）精密定轨模型及其模糊度固定方法。将载波相位硬件延迟分成时变和时不变参数，并进行参数重组，得到三频非组合定轨观测模型；类似精密定位中的超宽巷、宽巷、窄巷的分步模糊度固定策略，使用双差法推导了三频非组合模糊度固定方法。以发射三频信号的GPS ⅡF、BDS-2、Galileo卫星为例，进行1/2频点消电离层组合（IF）定轨、1/3频点IF定轨、1/2频点UC定轨和三频UC定轨共4种方案进行试验，使用外部轨道产品、天边界连接点、卫星激光测距3个手段对定轨结果进行验证，评定第三频点对轨道、钟差及其他参数的贡献。结果表明第3频点观测量对精密定轨贡献很小（不到5%）；同时发现GPS三频定轨较L1/L2双频定轨可将定轨产品精度提升10%左右，原因可能是L5较L2频点具有更高的码片率和信号功率。

关键词: 精密轨道确定, GNSS, 三频, 模糊度固定, 非组合模型

Abstract: The navigation satellite of the four global navigation satellite system (GNSS) transmitting multi-frequency signals becomes a prevailing trend. In this contribution, a triple-frequency (TF) uncombined (UC) precise orbit determination (POD) method based on IGS clock datum is developed and its ambiguity resolution strategy is proposed. The hardware delay of carrier phase is divided by time-invariant and variant components. Then the UC observation model is given by re-parameterizing the unknown parameters. The step-by-step ambiguity fixing method, i.e. the extra-wide-lane, wide-lane and narrow-lane ambiguities fixed in sequence, is deduced by using double-differenced ambiguities in a network. With the GPS ⅡF, BDS-2 and Galileo being able to transmit triple-frequency signals, the four POD tests are conducted: ionospheric-free (IF) POD of frequency 1/2, IF POD of frequency 1/3, UC POD of frequency 1/2, UC POD of TF signals. The three metrics of external orbit product, day boundary discontinuities and satellite laser ranging are used to validate the POD product accuracy. Results show that a subtle improvement are received with the addition of the third frequency observations. However, the improvement of GPS TF POD results with respect to L1/L2 POD is about 10%, which may be the signal power of L5 is stronger than that of L2.

Key words: precise orbit determination, GNSS, triple-frequency, ambiguity resolution, uncombined model

中图分类号:

P228

曾添, 隋立芬, 阮仁桂, 贾小林, 肖国锐. 三频非组合模型的GPS/BDS/Galileo精密定轨[J]. 测绘学报, 2021, 50(2): 169-180.

ZENG Tian, SUI Lifen, RUAN Rengui, JIA Xiaolin, XIAO Guorui. GPS/BDS/Galileo precise orbit determination using triple-frequency uncombined observation model[J]. Acta Geodaetica et Cartographica Sinica, 2021, 50(2): 169-180.

参考文献

[1] 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.
[2] TU Rui, GE Maorong, ZHANG Hongping, et al. The realization and convergence analysis of combined PPP based on raw observation[J]. Advances in Space Research, 2013, 52(1):211-221.
[3] GUO Fei, ZHANG Xiaohong, WANG Jinling, et al. Modeling and assessment of triple-frequency BDS precise point positioning[J]. Journal of Geodesy, 2016, 90(11):1223-1235.
[4] 张小红, 柳根, 郭斐, 等. 北斗三频精密单点定位模型比较及定位性能分析[J]. 武汉大学学报(信息科学版), 2018, 43(12):2124-2130. ZHANG Xiaohong, LIU Gen, GUO Fei, et al. Model comparison and performance analysis of triple-frequency BDS precise point positioning[J]. Geomatics and Information Science of Wuhan University, 2018, 43(12):2124-2130.
[5] 张宝成, 欧吉坤, 袁运斌, 等. 基于GPS双频原始观测值的精密单点定位算法及应用[J]. 测绘学报, 2010, 39(5):478-483. ZHANG Baocheng, OU Jikun, YUAN Yunbin, et al. Precise point positioning algorithm based on original dual-frequency GPS code and carrier-phase observations and its application[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(5):478-483.
[6] 辜声峰. 多频GNSS非差非组合精密数据处理理论及其应用[D]. 武汉:武汉大学, 2013. GU Shengfeng. Research on the zero-difference un-combined data processing model for multi-frequency GNSS and its applications[D]. Wuhan:Wuhan University, 2013.
[7] SCHÖNEMANN E. Analysis of GNSS raw observations in PPP solutions[D]. Darmstadt:Technische Universität Darmstadt, 2014.
[8] GU Shengfeng, SHI Chuang, LOU Yidong, et al. Ionospheric effects in uncalibrated phase delay estimation and ambiguity-fixed PPP based on raw observable model[J]. Journal of Geodesy, 2015, 89(5):447-457.
[9] LIU Teng, ZHANG Baocheng, YUAN Yunbin, et al. Multi-GNSS triple-frequency differential code bias (DCB) determination with precise point positioning (PPP)[J]. Journal of Geodesy, 2019, 93(5):765-784.
[10] YANG Xinhao, GU Shengfeng, GONG Xiaopeng, et al. Regional BDS satellite clock estimation with triple-frequency ambiguity resolution based on undifferenced observation[J]. GPS Solutions, 2019, 23(2):33.
[11] TU Rui, ZHANG Pengfei, ZHANG Rui, et al. Modeling and performance analysis of precise time transfer based on BDS triple-frequency un-combined observations[J]. Journal of Geodesy, 2019, 93(6):837-847.
[12] STRASSER S, MAYER-GÜRR T, ZEHENTNER N. Processing of GNSS constellations and ground station networks using the raw observation approach[J]. Journal of Geodesy, 2019, 93(7):1045-1057.
[13] ZENG Tian, SUI Lifen, XIAO Guorui, et al. Computationally efficient dual-frequency uncombined precise orbit determination based on IGS clock datum[J]. GPS Solutions, 2019, 23(4):105.
[14] ZENG Tian, SUI Lifen, RUAN Rengui, et al. Uncombined precise orbit and clock determination of GPS and BDS-3[J]. Satellite Navigation, 2020, 1(1):19.
[15] MONTENBRUCK O, HAUSCHILD A, STEIGENBERGER P, et al. Three's the challenge:a close look at GPS SVN62 triple-frequency signal combinations finds carrier-phase variations on the new L5[J]. GPS World, 2010, 21(8):8-19.
[16] ZHANG Xiaohong, WU Mingkui, LIU Wanke, et al. Initial assessment of the Compass/BeiDou-3:new-generation navigation signals[J]. Journal of Geodesy, 2017, 91(10):1225-1240.
[17] GU Shengfeng, LOU Yidong, SHI Chuang, et al. BeiDou phase bias estimation and its application in precise point positioning with triple-frequency observable[J]. Journal of Geodesy, 2015, 89(10):979-992.
[18] LI Pan, ZHANG Xiaohong, GE Maorong, et al. Three-frequency BDS precise point positioning ambiguity resolution based on raw observables[J]. Journal of Geodesy, 2018, 92(12):1357-1369.
[19] GENG Jianghui, GUO Jiang, MENG Xiaolin, et al. Speeding up PPP ambiguity resolution using triple-frequency GPS/BeiDou/Galileo/QZSS data[J]. Journal of Geodesy, 2020, 94(1):6.
[20] ZEHENTNER N, MAYER-GÜRR T. New approach to estimate time variable gravity fields from high-low satellite tracking data[M]//MARTI U.Gravity, Geoid and Height Systems, International Association of Geodesy Symposia. Cham:Springer, 2014:111-116.
[21] 郭靖. 姿态、光压和函数模型对导航卫星精密定轨影响的研究[D]. 武汉:武汉大学, 2014. GUO Jing. The impacts of attitude, solar radiation and function model on precise orbit determination for GNSS satellites[D]. Wuhan:Wuhan University, 2014.
[22] 陈华. 基于原始观测值的GNSS统一快速精密数据处理方法[D]. 武汉:武汉大学, 2015. CHEN Hua. An efficient and unified GNSS raw data processing strategy[D]. Wuhan:Wuhan University, 2015.
[23] BLEWITT G. An automatic editing algorithm for GPS data[J]. Geophysical Research Letters, 1990, 17(3):199-202.
[24] DONG Danan, BOCK Y. Global positioning system network analysis with phase ambiguity resolution applied to crustal deformation studies in California[J]. Journal of Geophysical Research:Solid Earth, 1989, 94(B4):3949-3966.
[25] RUAN Rengui, WEI Ziqing. Between-satellite single-difference integer ambiguity resolution in GPS/GNSS network solutions[J]. Journal of Geodesy, 2019, 93(9):1367-1379.
[26] 阮仁桂. SPODS软件GPS/GNSS网解的模糊度解算方法[J]. 测绘学报, 2015, 44(2):128-134. DOI:10.11947/j.AGCS.2015.20130461. RUAN Rengui. Ambiguity resolution for GPS/GNSS network solution with SPODS[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(2):128-134. DOI:10.11947/j.AGCS.2015.20130461.
[27] PETIT G, LUZUM B. IERS conventions (2010)[R].Frankfurt am Main:Verlag des Bundesamts für Kartographie und Geodäsie, 2010.
[28] BEUTLER G, BROCKMANN E, GURTNER W, et al. Extended orbit modeling techniques at the CODE processing center of the international GPS service for geodynamics (IGS):theory and initial results[J]. Manuscripta Geodaetica, 1994, 19(6):367-386.
[29] DILSSNER F, SPRINGER T, SCHÖNEMANN E, et al. Estimation of satellite antenna phase center corrections for BeiDou[C]//Proceedings of IGS Workshop. Pasadena:IGS, 2014:23-27.
[30] BOLLA P, BORRE K. Performance analysis of dual-frequency receiver using combinations of GPS L1, L5, and L2 civil signals[J]. Journal of Geodesy, 2019, 93(3):437-447.

三频非组合模型的GPS/BDS/Galileo精密定轨

GPS/BDS/Galileo precise orbit determination using triple-frequency uncombined observation model

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