BDS-3/GNSS satellite ultra-rapid clock offsets estimation model with the aid of onboard clock states solution
The orbit and clock offset of GNSS are the prerequisite for the high-performance positioning,navigation and timing(PNT)services.To overcome the obvious problems of clock offsets estimation in multi-GNSS ultra-rapid orbit determination solution,such as the observation quality and model configurations,an improved model to estimate ultra-rapid clock offset is proposed by considering the BDS-3/GNSS satellite clock states.Firstly,the observation equation of clock offset estimation by inserting the clock offset velocity and acceleration terms is constructed based on the fixed ultra-rapid orbit and station positions.Secondly,the algorithms of time-difference carrier phase(TDCP)and singular decomposition are used to construct the quality control and epoch-transition model of clock offset estimation.Thirdly,with the introduction of clock parameter states transi-tion equation and consideration of BDS-3/GNSS onboard clock frequency stability,the single-epoch estimated clock offset can be obtained.According to the proposed BDS-3/GNSS ultra-rapid clock offset estimation method,an accuracy improvement at least 46.9%can be obtained,where the instantaneous clock offset of epoch interval can be directly derived using the clock state values.In addition,compared with the traditionally issued BDS-3/GNSS ultra-rapid clock offsets,the four-system kinematics PPP performances of positioning and convergence are improved with 1.7%,6.0%,31.2%and 44.9%,33.3%,38.9%for E,N and U directions,respectively.Meanwhile,the accuracy of the predicted clock offset is also improved,which can lead to the decreasing of four-system static PPP positioning residuals and convergence time with 6.3%,13.5%,11.3%and 14.5%,1.6%,12.4%for E,N and U directions,respectively.Therefore,the quality of BDS-3/GNSS satellite ultra-rapid clock offset is significantly improved by the proposed estimation method,which can also be used to improve the multi-GNSS constellation performances of real-time and near-real-time services.
BDS-3/GNSSsatellite ultra-rapid clock offsettime-difference carrier phaseclock offset statesquality control