李玉星,秘金钟,徐彦田,李建彬

• 1:辽宁工程技术大学测绘与地理科学学院
• 2:中国测绘科学研究院
• 3:北京房山人卫激光国家野外科学观测研究站
• 4:淄博市水利勘测设计院

摘要(Abstract)：

为了削弱中长基线差分后大气延迟残留误差对实时动态模糊度固定和定位精度的影响，该文提出了一种估计大气延迟参数的卡尔曼滤波算法，采用相对对流层天顶延迟和相对电离层天顶延迟作为残留大气延迟误差参数，与坐标向量和模糊度向量参数一起进行卡尔曼滤波估计。通过41 km参考站数据对算法进行验证。结果表明，BDS-3(B1C/B2a)与GPS精度相当，平面精度优于1.5 cm,高程精度优于2.7 cm; BDS-3(B1C/B2a)/GPS组合平面精度优于1.1 cm,高程精度优于2.7 cm,相比BDS-3(B1C/B2a)单系统平面精度提升了23.8%,估计大气延迟参数的中长基线卡尔曼滤波方法可有效提高模糊度固定成功率，提高中长基线条件下的定位精度。

关键词(KeyWords)： BDS-3/GPS;卡尔曼滤波;中长基线实时动态;大气延迟误差

Abstract:

Keywords:

基金项目(Foundation): 国家重点研发计划课题项目(2021YFB3900803)

作者(Author): 李玉星,秘金钟,徐彦田,李建彬

DOI: 10.16251/j.cnki.1009-2307.2022.09.004

参考文献(References)：

• [1] 蔡洪亮，孟轶男，耿长江，等.北斗三号全球导航卫星系统服务性能评估：定位导航授时、星基增强、精密单点定位、短报文通信与国际搜救[J].测绘学报，2021,50(4):427-435.(CAI Hongliang,MENG Yinan,GENG Changjiang,et al.BDS-3 performance assessment:PNT,SBAS,PPP,SMC and SAR[J].Acta Geodaetica et Cartographica Sinica,2021,50(4):427-435.)
• [2] 曹相，王庆，高成发，等.基于BDS-3、GPS和Galileo重叠频率观测值的紧组合RTK定位方法[J].仪器仪表学报，2019(10):138-144.(CAO Xiang,WANG Qing,GAO Chengfa,et al.Tightly combined RTK positioning method based on the overlapping-frequency observations of BDS-3,GPS and Galileo[J].Chinese Journal of Scientific Instrument,2019(10):138-144.)
• [3] 赵硕，秘金钟，徐彦田，等.卡尔曼滤波的中长基线非差RTK算法[J].测绘科学，2020,45(4):19-25.(ZHAO Shuo,BEI Jinzhong,XU Yantian,et al.Un-differenced RTK algorithm for medium and long baseline based on Kalman filter[J].Science of Surveying and Mapping,2020,45(4):19-25.)
• [4] 陈文涛，程鹏飞，徐彦田，等.部分模糊度固定的GPS/BDS中长基线RTK算法研究[J].测绘科学，2020,45(11):28-32.(CHEN Wentao,CHENG Pengfei,XU Yantian,et al.Research on medium distances baseline GPS/BDS RTK algorithm based on partial ambiguity resolution[J].Science of Surveying and Mapping,2020,45(11):28-32.)
• [5] 张海平.北斗三号中长基线RTK卡尔曼滤波算法[J].测绘科学，2020,45(12):28-33.(ZHANG Haiping.An algorithm of BeiDou-3 real-time kinematic Kalman filter on medium-distances baseline[J].Science of Surveying and Mapping,2020,45(12):28-33.)
• [6] 徐彦田，程鹏飞，蔡艳辉.中长基线单基准站动态定位卡尔曼滤波算法[J].西南交通大学学报，2013,48(2):317-322,356.(XU Yantian,CHENG Pengfei,CAI Yanhui.Kalman filter algorithm for medium-range real-time kinematic positioning with one reference station[J].Journal of Southwest Jiaotong University,2013,48(2):317-322,356.)
• [7] 何子晨.BDS/GPS对流层延迟估计及其在基准站稳定性监测中的应用[D].成都：西南交通大学，2019.(HE Zichen.Application and estimation of tropospheric delay for base station stability by using BDS/GPS technology[D].Chengdu:Southwest Jiaotong University,2019.)
• [8] 牛慧军，杨开伟，邱利军.中长基线RTK定位算法研究及性能验证分析[J].电子测量技术，2020,43(10):174-178.(NIU Huijun,YANG Kaiwei,QIU Lijun.Medium-long baseline RTK positioning algorithm and performance analysis[J].Electronic Measurement Technology,2020,43(10):174-178.)
• [9] 袁宏超，秘金钟，张洪文，等.顾及大气延迟误差的中长基线RTK算法[J].测绘科学，2017,42(1):33-37,48.(YUAN Hongchao,BEI Jinzhong,ZHANG Hongwen,et al.GNSS medium distances baseline RTK algorithm research taking into account of the atmospheric delay error[J].Science of Surveying and Mapping,2017,42(1):33-37,48.)
• [10] 王艺希，秘金钟，徐彦田，等.卡尔曼滤波方法的BDS/GLONASSRTK定位算法[J].测绘科学，2017,42(12):112-117.(WANG Yixi,BEI Jinzhong,XU Yantian,et al.BDS/GLONASS RTK location algorithm based on Kalman filtering method[J].Science of Surveying and Mapping,2017,42(12):112-117.)
• [11] 谢建涛，郝金明，刘伟平，等.一种基于多频模糊度快速解算方法的BDS/GPS中长基线RTK定位模型[J].武汉大学学报(信息科学版),2017,42(9):1216-1222.(XIE Jiantao,HAO Jinming,LIU Weiping,et al.A method of BDS/GPS RTK positioning based on MCAR algorithm for medium-baseline[J].Geomatics and Information Science of Wuhan University,2017,42(9):1216-1222.)
• [12] 祝会忠，徐爱功，高猛，等.长距离网络实时动态对流层延迟误差改正[J].测绘科学，2015,40(6):30-35.(ZHU Huizhong,XU Aigong,GAO Meng,et al.Error correction of troposphere delay for long range network RTK[J].Science of Surveying and Mapping,2015,40(6):30-35.)
• [13] 何海波.高精度GPS动态测量及质量控制[D].郑州：信息工程大学，2002.(HE Haibo.Precise kinematic GPS surveying and quality control[D].Zhengzhou:Information Engineering University,2002.)
• [14] ZHANG Jihong.Precise estimation of residual tropospheric delays in a spatial GPS network[EB/OL].[2021-09-18].https://www.researchgate.net/publication/243774101.
• [15] 肖青怀，陈秉柱，谷守周，等.卡尔曼滤波的虚拟格网伪距差分算法研究[J].测绘科学，2021,46(2):71-77.(XIAO Qinghuai,CHEN Bingzhu,GU Shouzhou,et al.Research on virtual grid pseudorange difference algorithm based on extended Kalman filter[J].Science of Surveying and Mapping,2021,46(2):71-77.)
• [16] 陈文涛，程鹏飞，徐彦田，等.单差模糊度的BDS/GLONASS多频RTK算法[J].测绘科学，2020,45(4):7-12.(CHEN Wentao,CHENG Pengfei,XU Yantian,et al.BDS/GLONASS multi-frequency RTK algorithm based on single difference ambiguity[J].Science of Surveying and Mapping,2020,45(4):7-12.)