基于总体最小二乘法的RAIM算法模型改进

Improved receiver autonomous integrity monitoring algorithm model based on TLS

最小二乘残差RAIM算法中的伪距观测模型线性化过程会形成截断误差。考虑环境噪声对数据矩阵和观测值的扰动影响,给出了RAIM解算模型;采用总体最小二乘法估计准则,使残差更精确,数据可靠性更高,提高了RAIM算法的定位解算的精度与可靠性。分别采用总体最小二乘残差法和最小二乘残差法对实测数据进行了处理,分析结果验证了总体最小二乘法优于最小二乘残差法,说明了该算法具有可用性。

The linearization of pseudo-range observation model of receiver autonomous integrity monitoring（RAIM） algorithm based on least squares residual（LSR） may result in truncation error.Taking the influence of environmental noise on the data matrix and the measurements into consideration,the RAIM solution model is presented based on the total least squares（TLS） estimation criterion,which can promote the accuracy of residuals and the reliability of data.Consequently the precision and reliability of positioning solution of the RAIM algorithm will be improved.The measurement data is analyzed by using the LSR method and the TLS method respectively,and the results show that the TLS method is feasible and better than the LSR method.