An Algorithm of Long Distance Undifference Network RTK with BDS-3/BDS-2 Multi-frequency Data

ZHU Huizhong; ZHANG Jie; ZHAO Qile; XU Aigong

doi:10.13203/j.whugis20220797

Volume 48 Issue 7

Jul. 2023

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Geomatics and Information Science of Wuhan University > 2023 > 48(7): 1146-1159. > DOI: 10.13203/j.whugis20220797

ZHU Huizhong, ZHANG Jie, ZHAO Qile, XU Aigong. An Algorithm of Long Distance Undifference Network RTK with BDS-3/BDS-2 Multi-frequency Data[J]. Geomatics and Information Science of Wuhan University, 2023, 48(7): 1146-1159. DOI: 10.13203/j.whugis20220797

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An Algorithm of Long Distance Undifference Network RTK with BDS-3/BDS-2 Multi-frequency Data

1.
School of Geomatics, Liaoning Technical University, Fuxin 123000, China
2.
GNSS Research Center, Wuhan University, Wuhan 430079, China

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Received Date: April 01, 2023
Available Online: July 07, 2023
Published Date: July 04, 2023

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Abstract

Abstract

Objectives BeiDou-3 satellite navigation system (BDS-3) has been officially completed and provides services, network real time kinematic(RTK) is the main means to improve positioning accuracy, we present a long-distance undifference network RTK method based on BDS multi frequency and multi system observation data.
Methods First, the ambiguity resolution model considering atmospheric error parameters is used to determine the integer ambiguity of multi-frequency carrier phase of long-distance BeiDou satellite navigation system (BDS) reference station.Then, the double difference integer ambiguity between reference stations is converted into non-difference integer ambiguity of each reference station through linear change, and calculate the undifference observation error of each reference station.Considering the weakening of spatial correlation of observation errors between long-distance stations.According to the difference of error characteristics, obtain the correction number of classified undifference error of reference station network.Finally, by inverse distance weighted interpolation method, we calculate the error correction of mobile station, high precision positioning for users.
Results Select the measured data of long-distance continuous operation reference station network for experiment, the results show that: Compared with BeiDou-2 satellite navigation system (BDS-2), BDS-3 increases by 15.7%, 28% and 11.9% in E, N and U directions respectively. Compared with GPS, the positioning performance is equivalent or even better. The ambiguity fixing success rate and convergence time of multi-frequency data are better than GPS dual-frequency data. Dual system positioning results are better than single system, both of which can achieve centimeter level positioning of mobile stations.
Conclusions This method can avoid the correlation effect of double difference observations, high efficiency of spatial error calculation, mobile station positioning is more flexible, shows the advantages of BDS multi frequency observation data.
- BDS,
- long-distance reference station network,
- classification error,
- undifference error correction,
- network RTK

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References

[1]	杨元喜, 杨诚, 任夏. PNT智能服务[J]. 测绘学报, 2021, 50(8): 1006-1012. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB202108003.htm Yang Yuanxi, Yang Cheng, Ren Xia. PNT Intelligent Services[J]. Acta Geodaetica et Cartographica Sinica, 2021, 50(8): 1006-1012. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB202108003.htm
[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. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB201907003.htm 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. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB201907003.htm
[3]	王西龙, 许小龙, 赵齐乐. 北斗三号系统信号质量分析及轨道精度验证[J]. 武汉大学学报(信息科学版), 2023, 48(4): 611-619. doi: 10.13203/j.whugis20200577 Wang Xilong, Xu Xiaolong, Zhao Qile. Signal Quality Analysis and Orbit Accuracy Verification of BDS-3[J]. Geomatics and Information Science of Wuhan University, 2023, 48(4): 611-619. doi: 10.13203/j.whugis20200577
[4]	刘一, 边少锋, 纪兵, 等. 北斗三号卫星观测信息高度角相关随机模型统计特性分析[J]. 武汉大学学报(信息科学版), 2022, 47(10): 1615-1624. doi: 10.13203/j.whugis20220021 Liu Yi, Bian Shaofeng, Ji Bing, et al. Analysis of Statistic Testing of Elevation-Dependent Stochastic Models of BDS-3 Satellite Observation[J]. Geomatics and Information Science of Wuhan University, 2022, 47(10): 1615-1624. doi: 10.13203/j.whugis20220021
[5]	糜晓龙, 袁运斌, 张宝成. BDS-3和Galileo组合的RTK定位性能分析[J]. 武汉大学学报(信息科学版), 2023, 48(1): 113-118. doi: 10.13203/j.whugis20200483 Mi Xiaolong, Yuan Yunbin, Zhang Baocheng. Analysis of RTK Positioning Performance of BDS-3 and Galileo Combination[J]. Geomatics and Information Science of Wuhan University, 2023, 48(1): 113-118. doi: 10.13203/j.whugis20200483
[6]	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. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB202003006.htm 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. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB202003006.htm
[7]	高星伟, 陈锐志, 赵春梅. 网络RTK算法研究与实验[J]. 武汉大学学报(信息科学版), 2009, 34(11): 1350-1353. http://ch.whu.edu.cn/article/id/1426 Gao Xingwei, Chen Ruizhi, Zhao Chunmei. A Network RTK Algorithm and Its Test[J]. Geomatics and Information Science of Wuhan University, 2009, 34(11): 1350-1353. http://ch.whu.edu.cn/article/id/1426
[8]	Li B F, Shen Y Z, Feng Y M, et al. GNSS Ambiguity Resolution with Controllable Failure Rate for Long Baseline Network RTK[J]. Journal of Geodesy, 2014, 88(2): 99-112.
[9]	王守华, 吴黎荣, 尤志奇, 等. 一种网络RTK参考站模糊度快速解算方法[J]. 电子与信息学报, 2021, 43(8): 2324-2333. https://www.cnki.com.cn/Article/CJFDTOTAL-DZYX202108025.htm Wang Shouhua, Wu Lirong, You Zhiqi, et al. A Fast Ambiguity Solution Method for Network RTK Reference Station[J]. Journal of Electronics and Information Technology, 2021, 43(8): 2324-2333. https://www.cnki.com.cn/Article/CJFDTOTAL-DZYX202108025.htm
[10]	祝会忠, 雷啸挺, 徐爱功, 等. 顾及GEO卫星约束的长距离BDS三频整周模糊度解算[J]. 测绘学报, 2020, 49(9): 1222-1234. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB202009016.htm Zhu Huizhong, Lei Xiaoting, Xu Aigong, et al. 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. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB202009016.htm
[11]	祝会忠, 雷啸挺, 李军, 等. BDS参考站三频整周模糊度单历元确定方法[J]. 测绘学报, 2020, 49(11): 1388-1398. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB202011003.htm Zhu Huizhong, Lei Xiaoting, Li Jun, et al. The Algorithm of Integer Ambiguity Resolution with BDS Triple-Frequency Between Reference Stations at Single Epoch[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(11): 1388-1398. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB202011003.htm
[12]	Zou X, Ge M R, Tang W M, et al. URTK: Undifferenced Network RTK Positioning[J]. GPS Solutions, 2013, 17(3): 283-293.
[13]	高猛, 徐爱功, 祝会忠, 等. BDS网络RTK参考站三频整周模糊度解算方法[J]. 测绘学报, 2017, 46(4): 442-452. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB201704008.htm Gao Meng, Xu Aigong, Zhu Huizhong, et al. The Algorithm of Triple-Frequency Ambiguity Resolution Between BDS Network RTK Reference Stations[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(4): 442-452. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB201704008.htm
[14]	高猛, 徐爱功, 祝会忠, 等. 一种北斗卫星导航系统三频非差网络RTK方法[J]. 武汉大学学报(信息科学版), 2020, 45(7): 996-1001. doi: 10.13203/j.whugis20180362 Gao Meng, Xu Aigong, Zhu Huizhong, et al. An Algorithm of BDS Un-difference Network RTK with Triple-Frequency[J]. Geomatics and Information Science of Wuhan University, 2020, 45(7): 996-1001. doi: 10.13203/j.whugis20180362
[15]	祝会忠, 李军, 蔚泽然, 等. 北斗卫星导航系统长距离网络RTK方法研究[J]. 中国矿业大学学报, 2019, 48(5): 1143-1151. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGKD201905022.htm Zhu Huizhong, Li Jun, Yu Zeran, et al. The Algorithm of Network RTK of BeiDou Navigation Satellite System Between Long Range[J]. Journal of China University of Mining and Technology, 2019, 48(5): 1143-1151. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGKD201905022.htm
[16]	Zou X, Wang Y W, Deng C L, et al. Instantaneous BDS + GPS Undifferenced NRTK Positioning with Dynamic Atmospheric Constraints[J]. GPS Solutions, 2018, 22(1): 17.
[17]	祝会忠, 路阳阳, 徐爱功, 等. 长距离GPS/BDS双系统网络RTK方法[J]. 武汉大学学报(信息科学版), 2021, 46(2): 252-261. doi: 10.13203/j.whugis20190352 Zhu Huizhong, Lu Yangyang, Xu Aigong, et al. A Network Real-Time Kinematic Method for GPS and BDS Double Systems Between Long Range[J]. Geomatics and Information Science of Wuhan University, 2021, 46(2): 252-261. doi: 10.13203/j.whugis20190352
[18]	舒宝, 何元浩, 王利, 等. 一种适用于大尺度卫星导航定位基准站的网络RTK方法[J]. 武汉大学学报(信息科学版), 2021, 46(11): 1609-1619. doi: 10.13203/j.whugis20210202 Shu Bao, He Yuanhao, Wang Li, et al. A Network RTK Method for Large-Scale Satellite Navigation and Positioning Reference Stations[J]. Geomatics and Information Science of Wuhan University, 2021, 46(11): 1609-1619. doi: 10.13203/j.whugis20210202
[19]	高星伟, 陈锐志, 李夕银. 中性大气对非差伪距定位的影响及其模型改正分析[J]. 测绘学报, 2007, 36(2): 134-140. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB200702003.htm Gao Xingwei, Chen Ruizhi, Li Xiyin. A Study of the Neutral Atmospheric Effects on Pseudorange Positioning with Non-difference Models[J]. Acta Geodaetica et Cartographica Sinica, 2007, 36(2): 134-140. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB200702003.htm
[20]	葛茂荣, 刘经南. GPS定位中对流层折射估计研究[J]. 测绘学报, 1996, 25(4): 285-291. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB604.008.htm Ge Maorong, Liu Jingnan. The Estimation Methods for Tropospheric Delays in Global Positioning System[J]. Acta Geodaetica et Cartographica Sinica, 1996, 25(4): 285-291. https://www.cnki.com.cn/Article/CJFDTOTAL-CHXB604.008.htm
[21]	Tang W M, Liu W J, Zou X, et al. Improved Ambiguity Resolution for URTK with Dynamic Atmosphere Constraints[J]. Journal of Geodesy, 2016, 90(12): 1359-1369.
[22]	李博, 程鹏飞, 秘金钟, 等. 一种北斗非差非组合长距离基准站模糊度解算方法[J]. 武汉大学学报(信息科学版), 2023, 48(4): 593-603. doi: 10.13203/j.whugis20200555 Li Bo, Cheng Pengfei, Bei Jinzhong, et al. An Algorithm for Ambiguity Resolution of BDS Undifferenced and Uncombined Long-Range Reference Stations[J]. Geomatics and lnformation Science of Wuhan University, 2023, 48(4): 593-603. doi: 10.13203/j.whugis20200555
[23]	Han Y B, Ma L H, Qiao Q Y, et al. Functions of Retired GEO Communication Satellites in Improving the PDOP Value of CAPS[J]. Science in China Series G: Physics, Mechanics and Astronomy, 2009, 52(3): 423-433.

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An Algorithm of Long Distance Undifference Network RTK with BDS-3/BDS-2 Multi-frequency Data

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