GPS RAIM定位误差保护限值算法分析

Analysis of algorithms for GPS RAIM position integrity risk

针对基于最小二乘法的偏差完好性风险方法,采用总体最小二乘法估计准则,将数据矩阵和观测值两者的误差综合考虑,使残差更精确,数据可靠性更高,提高了RAIM算法的可靠性,并给出了RAIM解算模型.结合各个航段的完好性需求进行仿真,分析了不同飞行阶段的PIR性能.结果验证了PIR是更合适的可用性分析方法.

Based on the bias integrity threat approach,this paper proposed the total least squares as a kind of data processing method in recent years.A comparable analysis was made on calculating the usual least squares and total least squares solution of an overdetermined system,which had dealed with uncertainties on the perturbation matrix and the erroneous measurements in the transformation and back-substitution.The objective of this research is to improve RAIM reliability and positioning accuracy,and the solution expressed in closed form could be useful in the total least squares approach.According to the integrity requirements for the corresponding flight phases,case study of simulation results in position integrity risk approach was discussed and the performance of the least squares and the total least squares were analyzed.Simulation results show that it is feasible and reliable for the position integrity risk based on total least squares.