BDS-3/BDS-2多频数据的长距离非差网络RTK算法

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

    摘要
  • 摘要: 北斗三号卫星导航系统(BeiDou-3 satellite navigation system，BDS-3)已正式建成并提供服务，网络实时动态定位（real time kinematic，RTK）算法是提高北斗卫星导航系统（BeiDou satellite navigation system，BDS）定位精度的主要手段。提出了一种基于BDS多频多系统观测数据的长距离非差网络RTK算法。首先，通过顾及大气误差参数的多频载波相位整周模糊度解算模型，确定长距离BDS参考站的多频载波相位整周模糊度。然后，利用准确确定的参考站间载波相位整周模糊度，通过线性变化得到各参考站的非差整周模糊度，并计算各参考站的非差观测误差。考虑长距离测站间观测误差空间相关性减弱的特点，根据误差特性的不同分离出参考站网分类的非差误差改正数。最后，采用反距离加权法计算流动站的分类非差误差改正数，流动站通过非差误差改正数进行观测误差的改正和高精度定位。使用长距离连续运行参考站网的多频实测数据进行实验，结果表明：BDS-3的定位精度相对于北斗二号卫星导航系统(BeiDou-2 satellite navigation system，BDS-2)在东、北、天各方向分别有15.7%、28%、11.9%的提高，定位性能与GPS相当甚至更优，多频数据的模糊度固定成功率和收敛时间较GPS双频数据有一定优势，BDS-3和BDS-2双系统定位结果优于单系统，二者均能实现流动站厘米级定位。该方法可避免双差观测值的相关性影响，空间误差计算效率高，流动站的定位更加灵活，充分发挥了BDS多频观测数据的优势。

     

    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.

     

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