无电离层组合模型和非差非组合模型是精密单点定位(precise point positioning,PPP)中最常用的两种函数模型。非差非组合模型中电离层误差常被描述为随机游走,随机游走过程中的功率谱密度成为决定PPP定位性能的主要因素,采用经验值功率...无电离层组合模型和非差非组合模型是精密单点定位(precise point positioning,PPP)中最常用的两种函数模型。非差非组合模型中电离层误差常被描述为随机游走,随机游走过程中的功率谱密度成为决定PPP定位性能的主要因素,采用经验值功率谱密度的方法没有考虑电离层小尺度变化。在非差非组合模型的基础上,分析电离层时间相关性信息,在电离层差分时间间隔较小时,观测噪声较大甚至淹没电离层的变化。因此,通过平滑去噪的方法削弱观测值噪声的影响,实时确定电离层功率谱密度,对非差非组合模型中的电离层延迟参数进行合理约束,从而改善定位性能。对12个测站10 d的北斗卫星导航系统(BeiDou satellite navigation system,BDS)数据进行不同电离层模型下的解算,结果表明:相对于传统无电离层组合PPP模型,所提方法在收敛时间上缩短约8.2%,水平方向精度相当,垂直方向定位精度提高约31%。相较于功率谱密度采用经验值方法,所提方法在收敛时间上缩短约9.7%,水平方向精度相当,垂直方向定位精度提高约31%。展开更多
Currently,the BeiDou⁃3(BDS⁃3)precise point positioning(PPP)service(PPP⁃B2b)mostly employs the ionosphere⁃free(IF)combination model for precise timing,which tends to amplify the noise in observation values.To address t...Currently,the BeiDou⁃3(BDS⁃3)precise point positioning(PPP)service(PPP⁃B2b)mostly employs the ionosphere⁃free(IF)combination model for precise timing,which tends to amplify the noise in observation values.To address this issue,this paper proposes a real⁃time BDS⁃3 precise unidirectional timing model based on uncombined(UC)observations using the BDS⁃3 PPP⁃B2b service.This model resolves the challenge of the amplified observation noise inherent in the IF combination model.The experiment involved selecting eight global navigation satellite system(GNSS)observation stations within China and collecting continuous observation data for 15 d.A comparative analy⁃sis with the traditional dual⁃frequency IF combination PPP timing model showed that the BDS⁃3 UC PPP timing based on the BDS⁃3 PPP⁃B2b service can achieve a timing preci⁃sion of 0.5 ns.In addition,it was found that due to global positioning system(GPS)satellite clock products in the BDS⁃3 PPP⁃B2b service not being unified to the standard time,the GPS IF PPP timing method based on the BDS⁃3 PPP⁃B2b service is not recommended for precise timing.In summary,the BDS⁃3 UC PPP timing model proposed in this paper is suitable for precise timing,providing observa⁃tion values with smaller noise,and its timing accuracy is comparable to that of the BDS⁃3 IF PPP,with slightly better frequency stability.展开更多
基金The Basic Science Center Project of the National Natural Science Foundation of China(No.42388102)the Jiangsu Province Natural Resources Science and Technology Project(No.JSZRKJ202404).
文摘Currently,the BeiDou⁃3(BDS⁃3)precise point positioning(PPP)service(PPP⁃B2b)mostly employs the ionosphere⁃free(IF)combination model for precise timing,which tends to amplify the noise in observation values.To address this issue,this paper proposes a real⁃time BDS⁃3 precise unidirectional timing model based on uncombined(UC)observations using the BDS⁃3 PPP⁃B2b service.This model resolves the challenge of the amplified observation noise inherent in the IF combination model.The experiment involved selecting eight global navigation satellite system(GNSS)observation stations within China and collecting continuous observation data for 15 d.A comparative analy⁃sis with the traditional dual⁃frequency IF combination PPP timing model showed that the BDS⁃3 UC PPP timing based on the BDS⁃3 PPP⁃B2b service can achieve a timing preci⁃sion of 0.5 ns.In addition,it was found that due to global positioning system(GPS)satellite clock products in the BDS⁃3 PPP⁃B2b service not being unified to the standard time,the GPS IF PPP timing method based on the BDS⁃3 PPP⁃B2b service is not recommended for precise timing.In summary,the BDS⁃3 UC PPP timing model proposed in this paper is suitable for precise timing,providing observa⁃tion values with smaller noise,and its timing accuracy is comparable to that of the BDS⁃3 IF PPP,with slightly better frequency stability.