基于LAMBDA和DC算法的GPS单历元整周模糊度的快速确定

仅利用LAMBDA方法求解GPS单历元整周模糊度成功率不高,并且当接收卫星数较多时搜索空间较大。为此,采用TIKHONOV正则化方法削弱单历元模型法方程的病态性,并且基于协方差矩阵选择部分宽巷模糊度,先采用LAMBDA方法进行搜索,再利用高解算效率的DC算法解算剩余宽巷模糊度,最后通过两组不同线性组合的逆变换直接求取原始观测值L1和L2的整周模糊度。实验和计算表明,方法显著提高整周模糊度的搜索效率,并且提高模糊度搜索成功率。

FastFix of GPS single epoch ambiguity resolution based onLAMBDA and DC algorithms

The success rate of GPS ambiguity resolution is not high if LAMBDA algorithm is used only.With the number of satellites received exceeding, the space of search will be larger.In order to improve the condition of ill-posed normal equation on single-epoch, TIKHONOV regularization has been used in this paper.On the basis of variance matrix,the part of wide-lane ambiguity is selected to fix with LAMBDA algorithm.The rest of wide-lane ambiguity is fixed, combined with the DC algorithm which has the advantage of extremely high efficiency.Ambiguity of L1 and L2 are solved by means of the inverse linear transformation.The experimental results show this method can improve the efficiency for ambiguity greatly and the success rate of ambiguity resolution.