张小红, 张元泰, 朱锋. 城市复杂场景下GNSS定位的因子图优化方法及其抗差性能分析[J]. 武汉大学学报 ( 信息科学版), 2023, 48(7): 1050-1057. DOI: 10.13203/j.whugis20230203
引用本文: 张小红, 张元泰, 朱锋. 城市复杂场景下GNSS定位的因子图优化方法及其抗差性能分析[J]. 武汉大学学报 ( 信息科学版), 2023, 48(7): 1050-1057. DOI: 10.13203/j.whugis20230203
ZHANG Xiaohong, ZHANG Yuantai, ZHU Feng. Factor Graph Optimization for Urban Environment GNSS Positioning and Robust Performance Analysis[J]. Geomatics and Information Science of Wuhan University, 2023, 48(7): 1050-1057. DOI: 10.13203/j.whugis20230203
Citation: ZHANG Xiaohong, ZHANG Yuantai, ZHU Feng. Factor Graph Optimization for Urban Environment GNSS Positioning and Robust Performance Analysis[J]. Geomatics and Information Science of Wuhan University, 2023, 48(7): 1050-1057. DOI: 10.13203/j.whugis20230203

城市复杂场景下GNSS定位的因子图优化方法及其抗差性能分析

Factor Graph Optimization for Urban Environment GNSS Positioning and Robust Performance Analysis

  • 摘要: 北斗/全球导航卫星系统(global navigation satellite system, GNSS)在开阔环境下可以提供连续可靠的高精度导航定位服务,但是在城市复杂场景下,GNSS多路径与非视距信号严重、粗差与周跳发生频繁,导航定位能力仍然存在不足。相较于扩展卡尔曼滤波(extended Kalman filter, EKF)方法,因子图优化能够充分利用历史观测,通过窗口内历元间约束与冗余观测信息共同抑制异常数据影响。构建了基于滑动窗口因子图优化的GNSS定位模型,通过验后残差迭代分析进行粗差探测,并从最小可探测误差、粗差探测成功率、定位精度提升等方面深入分析因子图优化与EKF的抗差性能。以城市复杂场景数据进行处理验证,结果表明,因子图优化的最小可探测误差减小了11.92%~32.56%,粗差探测成功率提升了3.84%~10.47%,GNSS定位精度提升了11.29%~25.99%。总体而言,对于城市复杂场景下的GNSS导航定位应用,因子图优化具备更好的抗差性能和定位精度,有望取代现有基于单历元观测值的EKF模型。

     

    Abstract:
      Objectives  BeiDou satellite navigation system (BeiDou)/global navigation satellite system(GNSS) can provide continuous and reliable high-precision navigation and positioning service in open-sky, yet in urban environment, suffering from outliers and cycle slips caused by severe multi-path and non-line-of-sight signals, the navigation and positioning capability remains inadequate. Compared with the extended Kalman filter (EKF), factor graph optimization (FGO) can make full use of historical measurements and restrain the influence of anomalous data through constraints and redundant measurements inside the window.
      Methods  A GNSS positioning model based on sliding-window FGO is constructed, adopting posteriori residuals test as outlier detection method, and analysis of robust performance between EKF and FGO is presented in terms of minimum detectable bias, correct detection rate and positioning accuracy.
      Results  The result of urban environment experiment shows that the minimum detectable bias is reduced by 11.92%-32.56%, the correct detection rate is improved by 3.84%-10.47%, and the GNSS positioning accuracy is improved by 11.29%-25.99%.
      Conclusions  Overall, for Application of GNSS navigation and positioning in urban environment, FGO has better robustness and positioning accuracy, could replace EKF models based on single epoch observations.

     

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