顾及历元间坐标差信息的GPS模糊度快速固定改进方法

An Improved GPS Fast Ambiguity Resolution Algorithm with Epoch-Differenced Coordinate Information

单频全球定位系统模糊度在航解算过程中存在法方程病态的问题,利用历元间坐标差信息可以在一定程度上削弱法方程的病态性,提高模糊度浮点解的精度和模糊度收敛速度。为进一步提高历元间坐标差法固定模糊度的效率,提出了一种改进的历元间坐标差方法,该方法对历元间坐标差虚拟观测误差方程进行了重构,并给出了新的虚拟观测值方差阵。实验结果表明,新方法较之以往的历元间坐标差方法具有更优的稳定性和效率。

Single-frequency GPS ambiguity resolution on-the-fly has the problem that normal equation is ill-posed. Using epoch-differenced coordinate information between neighboring epochs can mitigate the ill-condition problem to some extent, as a result, the accuracy of the float ambiguity solution will be improved and the convergence time of ambiguity will be shortened. In order to further improve the ambiguity fixing effciency of epoch-differenced method, the epoch-differenced coordinate pseudo-observation error equation and its new variance matrix is reconstructed. The experimental results show that, compared with the previous algorithm with epoch-differenced coordinate information, the new method has higher stability and efficiency.