顾及基线先验信息的GPS模糊度快速解算

采用GPS相位观测值进行快速定位时,其解算模型严重病态,最小二乘解得的浮点模糊度精度差且相关性大,导致整周模糊度搜索空间过大,难以正确固定。本文提出一种顾及基线先验信息和模糊度线性约束的整数条件的GPS模糊度快速解算方法,先用顾及基线先验信息的正则化算法解得精度较高且相关性较小的浮点模糊度,以减小整周模糊度的搜索空间;再综合利用整周模糊度间的线性约束的整数条件和基线先验信息,进一步有效地减小模糊度搜索空间,提高搜索效率。算例表明:顾及基线先验信息的正则化算法有效地改善了模糊度浮点解,模糊度线性约束的整数条件有效地提高搜索效率和成功率。

Prior Baseline Information Based Fast GPS Ambiguity Resolution

In fast positioning using GPS carrier phase observation,the norm equation is seriously ill-posed and the biases of float ambiguities are so large that fast ambiguity resolution(AR) becomes impossible.In this contribution,a new algorithm for fast AR is proposed where regularization algorithm with constraint of prior baseline information is employed to get smaller bias for float resolution.In the process of searching ambiguities,the relationship among integer ambiguities and the constraint of prior baseline information are also used.The real experiment implemented to demonstrate the efficiency of the new method shows that regularization with constraint of prior baseline information can significantly improve the float solution and the efficiency and success rate are improved as well by use of linear constraint among ambiguities.