Due to some shortcomings in the current multiple hypothesis solution separation advanced receiver autonomous integrity monitoring(MHSS ARAIM)algorithm,such as the weaker robustness,a number of computational subsets wi...Due to some shortcomings in the current multiple hypothesis solution separation advanced receiver autonomous integrity monitoring(MHSS ARAIM)algorithm,such as the weaker robustness,a number of computational subsets with the larger computational load,a method combining MHSS ARAIM with gross error detection is proposed in this paper.The gross error detection method is used to identify and eliminate the gross data in the original data first,then the MHSS ARAIM algorithm is used to deal with the data after the gross error detection.Therefore,this makes up for the weakness of the MHSS ARAIM algorithm.With the data processing and analysis from several international GNSS service(IGS)and international GNSS monitoring and assessment system(iGMAS)stations,the results show that this new algorithm is superior to MHSS ARAIM in the localizer performance with vertical guidance down to 200 feet service(LPV-200)when using GPS and BDS measure data.Under the assumption of a single-faulty satellite,the effective monitoring threshold(EMT)is improved about 22.47%and 9.63%,and the vertical protection level(VPL)is improved about 32.28%and 12.98%for GPS and BDS observations,respectively.Moreover,under the assumption of double-faulty satellites,the EMT is improved about 80.85%and 29.88%,and the VPL is improved about 49.66%and 18.24%for GPS and BDS observations,respectively.展开更多
Based on the modified Hermitian and skew-Hermitian splitting(MHSS)iteration scheme and a novel minimum residual technique with the aid of a positive definite matrix,a novel minimum residual MHSS(NMRMHSS)iteration meth...Based on the modified Hermitian and skew-Hermitian splitting(MHSS)iteration scheme and a novel minimum residual technique with the aid of a positive definite matrix,a novel minimum residual MHSS(NMRMHSS)iteration method was proposed for solving complex symmetric systems of linear equations.As is known,the NMRMHSS iteration is unconditional convergent;however,its numerical performance is degraded.In this work,we consider to improve the rate of the convergence of the NMRMHSS iteration method and inherit its theoretical property.To the end,we first combine the minimization technique of NMRMHSS with an accelerating method and obtain a fast and unconditional convergent iteration method.Then,the convergence is demonstrated,which indicates that the contraction factor of our method is smaller than that of NMRMHSS.Besides,the theoretical analysis shows that our method has more widespread application for solving complex symmetric linear systems.Finally,numerical results are reported to illustrate the numerical behavior of the proposed iteration method.展开更多
基金National Natural Science Foundation of China(No.4130403341504006+2 种基金41604001)The Grand Projects of the Beidou-2 System(No.GFZX0301040308)The Foundation of State Key Laboratory of Geo-information Engineering(No.SKLGIE2017-Z-2-1)。
文摘Due to some shortcomings in the current multiple hypothesis solution separation advanced receiver autonomous integrity monitoring(MHSS ARAIM)algorithm,such as the weaker robustness,a number of computational subsets with the larger computational load,a method combining MHSS ARAIM with gross error detection is proposed in this paper.The gross error detection method is used to identify and eliminate the gross data in the original data first,then the MHSS ARAIM algorithm is used to deal with the data after the gross error detection.Therefore,this makes up for the weakness of the MHSS ARAIM algorithm.With the data processing and analysis from several international GNSS service(IGS)and international GNSS monitoring and assessment system(iGMAS)stations,the results show that this new algorithm is superior to MHSS ARAIM in the localizer performance with vertical guidance down to 200 feet service(LPV-200)when using GPS and BDS measure data.Under the assumption of a single-faulty satellite,the effective monitoring threshold(EMT)is improved about 22.47%and 9.63%,and the vertical protection level(VPL)is improved about 32.28%and 12.98%for GPS and BDS observations,respectively.Moreover,under the assumption of double-faulty satellites,the EMT is improved about 80.85%and 29.88%,and the VPL is improved about 49.66%and 18.24%for GPS and BDS observations,respectively.
基金National Natural Science Foundation of China(NSFC)[No.12201272]the Young Scholars Science Foundation of Lanzhou Jiaotong University,China[No.1200061132].
文摘Based on the modified Hermitian and skew-Hermitian splitting(MHSS)iteration scheme and a novel minimum residual technique with the aid of a positive definite matrix,a novel minimum residual MHSS(NMRMHSS)iteration method was proposed for solving complex symmetric systems of linear equations.As is known,the NMRMHSS iteration is unconditional convergent;however,its numerical performance is degraded.In this work,we consider to improve the rate of the convergence of the NMRMHSS iteration method and inherit its theoretical property.To the end,we first combine the minimization technique of NMRMHSS with an accelerating method and obtain a fast and unconditional convergent iteration method.Then,the convergence is demonstrated,which indicates that the contraction factor of our method is smaller than that of NMRMHSS.Besides,the theoretical analysis shows that our method has more widespread application for solving complex symmetric linear systems.Finally,numerical results are reported to illustrate the numerical behavior of the proposed iteration method.
