单频GPS短基线快速定位中的少数历元算法

Several-Epoch Algorithm in Short Baseline Rapid Positioning Using Single Frequency GPS Receivers

  • 摘要: 研究了短基线时利用少数历元的单频GPS载波相位观测值进行快速定位的一种算法。基于TIK-HONOV正则化原理,选择了一种具有物理意义的正则化矩阵,以减弱法矩阵的病态性。新算法只需解算几个历元的单频GPS相位数据,就可得到比较准确的模糊度浮动解及其相应的均方误差矩阵,用均方误差矩阵代替协方差阵,结合LAMBDA方法,可准确、快速地确定模糊度,最后得到基线向量的解。结合短基线算例,将少数历元算法与最小二乘估计的结果作了比较分析,得出了新解法的有效性。

     

    Abstract: A new algorithm,named as several-epoch algorithm (SEA) is studied in the short baseline GPS rapid positioning using several epoch single frequency phase data.Based on TIKHONOV regularization theorem,a new regularizer,which has explicitly physical meaning,is chosen to mitigate the ill-condition of the normal matrix.The accurate float ambiguity solutions and their MSEM(Mean Squared Error Matrix) are obtained using several epoch single frequency phase data.Combined with LAMBDA method,SEA can fix the integer ambiguities correctly and quickly using MSEM instead of the covariance matrix of the ambiguities.At last,the baseline vector is resolved.The effect of the new algorithm and LS is illustrated by one example.

     

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