GNSS基线向量与点位协方差传播方法的等价性

Equivalent Propagation of GNSS Baseline Vector Covariance and Position Covariance

在GNSS控制网平差和点位测量中,需将GNSS基线向量协方差和点位协方差在不同坐标系间进行传播。推导了GNSS基线向量协方差从高斯平面直角坐标系到大地坐标系、再到空间直角坐标系的严密和简化传播公式,研究了GNSS基线向量协方差和点位协方差传播的等价性和统一性。理论和算例证明,推导的传播公式是正确的,可用点位协方差传播公式代替复杂的基线向量协方差传播公式,基线向量协方差和点位协方差在空间直角坐标系与高斯平面直角坐标系间的传播,都可统一到形式简单的空间直角坐标系与站心直角坐标系间的传播。

In GNSS control network adjustment and position measure, It is necessary to propagate GNSS baseline vector covariance and position covariance between different coordinate system. The strict and simpli- fied formula were derived to propagate GNSS baseline vector covariance from Gauss plane rectangular coordi- nate system to geodetic coordinate system, and from geodetic coordinate system to space rectangular coordinate system. The equivalent and unified propagation between GNSS baseline vector covariance and position covariance was studied. The theory analysis and test result show that the derived formula is correct, the position covariance propagation formula can replace the baseline vector covariance prop- agation formula, the above eovariance propagation formula can be unified between space rectangular coordinate system and station rectangular coordinate system, and easy to form.