基于空间双曲交会的GNSS伪距单点定位算法

针对GNSS卫星导航中的伪距单点定位,提出一种不需要测站坐标近似值的非迭代算法。该算法将GNSS伪距导航定位方程转化为空间双曲定位方程,给出具体的解算步骤,研究了空间双曲定位方程的解(有两解),利用GNSS伪距导航定位的特点可消除多值性,从而实现无初值GNSS伪距单点定位。该算法与Bancroft算法相比,通过星间单差,与测站有关的公共误差项被消去,提高了定位精度;与传统的迭代算法相比,提高了计算效率,而且不需要测站坐标初值。最后通过IGS监测站实测数据对3种算法进行比较,验证了算法的有效性。

GNSS pseudo-range single point positioning algorithm based on space hyperbolic intersection

A non-iterative algorithm is proposed,which does not require initial approximate value of the receiver's position for GNSS pseudo-range single point positioning.In this algorithm,the GNSS pseudorange positioning equation is transformed into space hyperbolic equation.The steps of calculation are discussed in this paper.The solutions of the space hyperbolic equation are analyzed.The characteristics of GNSS pseudo-range navigation and positioning can be used to judge the true value.Because all the common errors can be eliminated through the single differences between satellites,the accuracy of this algorithm is better than that of Bancroft algorithm.Compared with the iterative algorithm,the computational efficiency of this algorithm is improved and needs no initial approximate value of the receiver's position.This algorithm proves to be effective through the IGS measurement data processing.