附加闭合差约束的BDS频间偏差估计模型

Estimation of BDS DCB Based on Closure Constraint

  • 摘要: 中国的北斗卫星导航系统(BeiDou navigation satellite system,BDS)是全球导航卫星系统(global navigation satellite system,GNSS)中唯一全星座提供3频信号的卫星导航系统,其信号频率间共存在3种频间偏差(differential code bias,DCB),分别是DCBC2I-C7I、DCBC2I-C6I、DCBC7I-C6I。理论上,这3种DCB之间存在代数和为零的关系。基于3种频间偏差闭合差约束,加入DCB观测方程,以北斗中轨道(medium earth orbit,MEO)和倾斜地球同步轨道(inclined geosynchronous satellite orbit,IGSO)卫星作为参考卫星,采用附加限制条件的间接平差方法同步估计BDS的3种DCB。选取2018年1月1日—30日多模GNSS实验(multi-GNSS experiment,MGEX)基准站的BDS 3频数据,分别采用附加闭合差约束估计和独立求解两种方法计算北斗二代卫星的3种频间偏差。以中国科学院(Chinese Academy of Sciences,CAS)和德国宇航中心(Deutsches Zentrum für Luft- und Raumfahrt,DLR)的DCB产品作为参考,分析了所提方法估计的DCB精度、稳定性及部分典型卫星的DCB时间序列,验证了所提方法对北斗3频DCB估计的适用性和科学性,并通过BDS单频标准单点定位(standard point positioning,SPP)实验验证了DCB对单点定位精度的影响效果。

     

    Abstract:
      Objectives  BeiDou navigation satellite system (BDS) is the only satellite navigation system that provides triple-frequency signals as a whole constellation of global navigation satellite system (GNSS). There are three kinds of differential code biases (DCBs): DCBC2I-C7I, DCBC2I-C6I and DCBC7I-C6I. Theoretically, there are zero algebraic relationship among the three DCBs.
      Methods  Based on the zero algebraic relationship, BDS triple-frequency data of 2018 DOY 001-030 from multi-GNSS experiment (MGEX) stations are selected, and medium earth orbit (MEO) and inclined geosynchronous satellite orbit (IGSO) satellites are used as reference satellites to estimate three DCBs.
      Results  Taking the DCB products provided by Chinese Academy of Sciences (CAS) and Deutsches Zentrum für Luft und Raumfahrt (DLR) as reference values, we analyze the accuracy and stability of the estimated DCB and the DCB time series of some typical satellites. It suggests that results derived from the proposed method are in good agreement with the reference values. And the experiment of standard point positioning (SPP) in BDS single frequency verifies the effect of DCB on accuracy of SPP.
      Conclusions  All the results demonstrate that the proposed method is applicable and scientific to the estimation of BDS DCBs.

     

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