The integer ambiguity resolution of BDS triple-frequency between long range stations with GEO satellite constraints

doi:10.11947/j.AGCS.2020.20200263

Abstract

Abstract: The BDS triple-frequency carrier phase ambiguity resolution is greatly affected by the residual of atmospheric error between long range stations, and GEO satellites are also unfavorable for carrier phase ambiguity resolution relative to geostationary. Taking advantage of the relatively stable signal path of GEO satellites and the influence of atmospheric delay which do not change with the space position of satellites, the constraint of atmospheric delay errors more in line with actual conditions for GEO satellites are carried out. Using the linear relationship of carrier phases ambiguities of GEO satellites B2 and B3 to reduce the effect of single-difference ionospheric delay error between stationson the ambiguity candidates, the candidates of carrier phases ambiguity of B2 and B3 areselected. The linear relationship of triple-frequency phase ambiguity which does not include the influence of errors makes evaluation of the ambiguity candidates, and the ambiguity search space can be constrained. The ambiguity candidates of the GEO satellites are used to determine the residual change of the ionospheric delay between adjacent epochs, and the parameter estimation of GEO satellites is more constrained in accordance with actual situation.The method of long range BDS triple-frequency carrier phase ambiguity resolution with actual atmospheric delay variation constraints and the integer ambiguity constraints of GEO satellite is studied.And determining the ionospheric delay constraint value by using the candidates of ambiguity between epochs is proposed, adjusting the constraint value of the random walk between GEO satellite according to the actual situation.The experimental results show that the method in this paper can improve the efficiency of the triple-frequency carrier phase ambiguity resolution and the accuracy of positioning.

Key words: geostationary orbit satellite, carrier phase integer ambiguity, ionospheric delay error, tropospheric delay error, long range

CLC Number:

P228

ZHU Huizhong, LEI Xiaoting, XU Aigong, LI Jun, GAO Meng. The integer ambiguity resolution of BDS triple-frequency between long range stations with GEO satellite constraints[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(9): 1222-1234.

References

[1] 杨元喜, 李金龙, 徐君毅, 等. 中国北斗卫星导航系统对全球PNT用户的贡献[J]. 科学通报, 2011, 56(21):1734-1740. YANG Yuanxi, LI Jinlong, XU Junyi, et al. Contribution of the Compass satellite navigation system to global PNT users[J]. Chinese Science Bulletin, 2011, 56(26):2813-2819.
[2] 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.
[3] TANG Weiming, DENG Chenlong, SHI Chuang, et al. Triple-frequency carrier ambiguity resolution for BeiDou navigation satellite system[J]. GPS Solutions, 2014, 18(3):335-344.
[4] ZHANG Xiaohong, HE Xiyang. Performance analysis of triple-frequency ambiguity resolution with BeiDou observations[J]. GPS Solutions, 2016, 20(2):269-281.
[5] GENG Jianghui, GUO Jiang, CHANG Hua, et al. Toward global instantaneous decimeter-level positioning using tightly coupled multi-constellation and multi-frequency GNSS[J]. Journal of Geodesy, 2019, 93(7):977-991.
[6] 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.
[7] LOU Yidong, GONG Xiaopeng, GU Shengfeng, et al. Assessment of code bias variations of BDS triple-frequency signals and their impacts on ambiguity resolution for long baselines[J]. GPS Solutions, 2017, 21(1):177-186.
[8] 祝会忠. 基于非差误差改正数的长距离单历元GNSS网络RTK算法研究[J]. 测绘学报, 2015, 44(1):116. DOI:10.11947/j.AGCS.2015.20140358. ZHU Huizhong. The study of GNSS network RTK algorithm between long range at single epoch using un-difference error corrections[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(1):116. DOI:10.11947/j.AGCS.2015.20140358.
[9] 高扬骏, 吕志伟, 周朋进, 等. 北斗中长基线三频模糊度解算的自适应抗差滤波算法[J]. 测绘学报, 2019, 48(3):295-302. DOI:10.11947/j.AGCS.2019.20180379. GAO Yangjun, LV Zhiwei, ZHOU Pengjin, et al. Adaptive robust filtering algorithm for BDS medium and long base line three carrier ambiguity resolution[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(3):295-302. DOI:10.11947/j.AGCS.2019.20180379.
[10] 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.
[11] 祝会忠, 刘经南, 唐卫明, 等. 长距离网络RTK基准站间整周模糊度单历元确定方法[J]. 测绘学报, 2012, 41(3):359-365. ZHU Huizhong, LIU Jingnan, TANG Weiming, et al. The algorithm of single-epoch integer ambiguity resolution between long-range network RTK base stations[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(3):359-365.
[12] 祝会忠, 徐爱功, 高猛, 等. BDS网络RTK中距离参考站整周模糊度单历元解算方法[J]. 测绘学报, 2016, 45(1):50-57. DOI:10.11947/j.AGCS.2016.20140525. ZHU Huizhong, XU Aigong, GAO Meng, et al. The algorithm of single-epoch integer ambiguity resolution between middle-range BDS network RTK reference stations[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(1):50-57. DOI:10.11947/j.AGCS.2016.20140525.
[13] 祝会忠, 李军, 蔚泽然, 等. 长距离GPS/BDS参考站网多频载波相位整周模糊度解算方法[J]. 测绘学报, 2020, 49(3):300-311. DOI:10.11947/j.AGCS.2020.20190191. ZHU Huizhong, LI Jun, YU Zeran, et al. The algorithm of multi-frequency carrier phase integer ambiguity resolution with GPS/BDS between long range network RTK reference stations[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(3):300-311. DOI:10.11947/j.AGCS.2020.20190191.
[14] CHU Fengyu, YANG Ming, WU J. A new approach to modernized GPS phase-only ambiguity resolution over long baselines[J]. Journal of Geodesy, 2016, 90(3):241-254.
[15] 张钰玺, 张小红, 刘全海, 等. 航空测量场景下的中长基线动态定位方法[J]. 测绘学报, 2019, 48(7):871-878. DOI:10.11947/j.AGCS.2019.20180513. ZHANG Yuxi, ZHANG Xiaohong, LIU Quanhai, et al. A method of dynamic positioning with the medium and long baseline for aerial measurement scenarios[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(7):871-878. DOI:10.11947/j.AGCS.2019.20180513.
[16] 李博峰, 沈云中, 周泽波. 中长基线三频GNSS模糊度的快速算法[J]. 测绘学报, 2009, 38(4):296-301. DOI:10.3321/j.issn:1001-1595.2009.04.003. LI Bofeng, SHEN Yunzhong, ZHOU Zebo. A new method for medium and long range three frequency GNSS rapid ambiguity resolution[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(4):296-301. DOI:10.3321/j.issn:1001-1595.2009.04.003.
[17] ZHANG Ming, LIU Hui, BAI Zhengdong, et al. Fast ambiguity resolution for long-range reference station networks with ionospheric model constraint method[J]. GPS Solutions, 2017, 21(2):617-626.
[18] SCHAER S, BEUTLER G, ROTHACHER M, et al. The impact of the atmosphere and other systematic errors on permanent GPS networks[M]//Geodesy Beyond 2000. Berlin Heidelberg:Springer, 2000:373-380.
[19] TEUNISSEN P J G. The ionosphere-weighted GPS baseline precision in canonical form[J]. Journal of Geodesy, 1998, 72(2):107-111.
[20] TANG Weiming, LIU Wenjian, ZOU Xuan, et al. Improved ambiguity resolution for URTK with dynamic atmosphere constraints[J]. Journal of Geodesy, 2016, 90(12):1359-1369.
[21] 毛健, 崔铁军, 李晓丽, 等. 融合大气数值模式的高精度对流层天顶延迟计算方法[J]. 测绘学报, 2019, 48(7):862-870. DOI:10.11947/j.AGCS.2019.20190003. MAO Jian, CUI Tiejun, LI Xiaoli, et al. A hight-accuracy method for tropospheric zenith delay error correction by fusing atmospheric numerical models[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(7):862-870. DOI:10.11947/j.AGCS.2019.20190003.
[22] YAO Yibin, ZHAO Qingzhi, ZHANG Bin. A method to improve the utilization of GNSS observation for water vapor tomography[J]. Annales Geophysicae, 2016, 34(1):143-152.
[23] 赵庆志, 姚宜斌, 姚顽强, 等. 利用ECMWF改善射线利用率的三维水汽层析算法[J]. 测绘学报, 2018, 47(9):1179-1187. DOI:10.11947/j.AGCS.2018.20170412. ZHAO Qingzhi, YAO Yibin, YAO Wanqiang, et al. A method to improve the utilization rate of satellite rays for three-dimensional water vapor tomography using the ECMWF data[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(9):1179-1187. DOI:10.11947/j.AGCS.2018.20170412.
[24] FAN Haopeng, SUN Zhongmiao, ZHANG Liping, et al. A two-step estimation method of troposphere delay with consideration of mapping function errors[J]. Journal of Geodesy and Geoinformation Science, 2020, 3(1):76-84. DOI:10.11947/j.JGGS.2020.0108.
[25] YAO Yibin, SUN Zhangyu, XU Chaoqian. Applicability of Bevis formula at different height levels and global weighted mean temperature model based on near-earth atmospheric temperature[J]. Journal of Geodesy and Geoinformation Science, 2020, 3(1):1-11. DOI:10.11947/j.JGGS.2020.0101.
[26] ZHANG Xiaohong, REN Xiaodong, WU Fengbo, et al. Short-term prediction of ionospheric TEC based on ARIMA Model[J]. Journal of Geodesy and Geoinformation Science, 2019, 2(1):9-16. DOI:10.11947/j.JGGS.2019.0102.
[27] 陈正生, 张清华, 李林阳, 等. 电离层延迟变化自模型化的载波相位平滑伪距算法[J]. 测绘学报, 2019, 48(9):1107-1118. DOI:10.11947/j.AGCS.2019.20180404. CHEN Zhengsheng, ZHANG Qinghua, LI Linyang, et al. An improved carrier phase smoothing pseudorange algorithm with self-modeling of ionospheric delay variation[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(9):1107-1118. DOI:10.11947/j.AGCS.2019.20180404.