GPS/BDS/Galileo三频精密单点定位模型及性能分析

在精细考虑伪距和载波相位硬件偏差时变特性的基础上,导出了更为严谨的非差非组合观测方程,并给出了非组合模式下两类GNSS偏差的数学表达形式。基于此,本文详细研究了3种常用的三频精密单点定位(PPP),即无电离层两两组合IF1213、单个无电离层组合IF123与非组合UC123函数模型的独立参数化方法,系统分析了3种PPP模型的相互关系以及GPS/BDS/Galileo三频静、动态PPP定位性能。结果表明,静态PPP收敛后定位精度水平方向优于1.0 cm,高程优于1.5 cm;动态PPP水平方向优于2.0 cm,高程优于5.0 cm;三频PPP的定位性能与双频PPP基本相当。

Modeling and assessment of GPS/BDS/Galileo triple-frequency precise point positioning

With careful consideration of time-varying characteristics of pseudorange and carrier phase hardware biases, more rigorous undifferenced and uncombined observation equations are derived, and the mathematical expressions of the two types of GNSS biases in uncombined mode are given. Based on this, this contribution studied independent parameterization methods of three commonly used triple-frequency precise point positioning (PPP) (i.e., ionosphere-free combination IF1213 and IF123 as well as uncombination UC123) function models in detail, and systematically analyzed the relationship among these models. Subsequently, the positioning performance in terms of positioning accuracy for GPS/BDS/Galileo triple-frequency PPP in static and kinematic modes was assessed. The experimental results showed that the positioning accuracy after convergence for static PPP was better than 1.0 and 1.5 cm; while that for kinematic PPP was better than 2.0 and 5.0 cm in horizontal and vertical components, respectively. Moreover, the positioning performance of triple-frequency and dual-frequency PPP was comparable.