基于递推最小二乘平方差的GPS精密单点定位精度研究

Accuracy Research on GPS Precise Point Position Based on Sequence Least-square Method

对传统GPS单点定位、差分GPS定位和GPS精密单点定位进行了比较。建立了GPS精密单点定位无电离层组合的数学模型。建立了递推最小二乘平差进行参数估算的数学模型,并利用该方法进行相位平滑伪距处理。分析了该方法对伪距观测误差的影响。利用bernese软件和据此编制的程序,并利用IGS跟踪站的观测数据进行了接收机三维坐标的解算。将IGS观测值坐标作为真值,解算值和真值之间的偏差作为定位误差。仿真结果表明,经过递推最小二乘伪距平滑处理后,精密单点定位的误差在北方向、东方向、高度方向上都小于0.02 m。

The traditional GPS single point position, the difference GPS position, and the GPS precise point position were compared. The integrated iono-free mathematical model of precise point position was built. Mathemat- ical model of precise point position based on sequence least-square method was built. Pseudo range was smoothed using the carrier phase observations. The error of pseudo range via phase-smoothed was discussed. 3 dimension co- ordinates of the GPS receiver were estimated using the bernese software and self-written program based on the data from BJFS tractirg, tracking station observations. The simulation shows that the accuracy of GPS precise point posi- tion via the phase-smoothed pseudo range based on sequence least-square method in N, E and H directions are all less than 0. 02 m.