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摘要: 北斗倾斜地球同步轨道（inclined geosynchronous orbit，IGSO）卫星和中轨（medium earth orbit，MEO）卫星的伪距码观测值存在系统性偏差，针对该偏差的现有建模方法（两步法）包含模糊度消除策略的误差，提出了一种基于历元间差分的一步建模方法，建立了同类型卫星整体的伪距码偏差三次多项式改正模型，并与现有的离散点改正模型进行对比。同时，针对每颗IGSO/MEO卫星的独特性，利用一步法逐卫星建模并评估其改正效果。结果表明，相对于现有的离散点改正模型，精化模型将IGSO/MEO卫星的Melbourne-Wübbena（MW）值的稳定性平均提高了23.88%，C08卫星的提高幅度最大，约为32.26%。Abstract: Variations of code pseudorange observations of BeiDou satellites in inclined geosynchronous orbit (IGSO) and medium earth orbit (MEO), lead to systematic deviation in code-phase combination observations. The one-step method based on single-difference between epochs, is proposed to modify the above errors, and the corresponding correction model has also been given. It is shown that, comparing with the existing modeling proposed by Wanninger et al, the final optimized models in this paper using one-step method can improve the stability of Melbourne-Wübbena (MW) observables of all IGSO/MEO satellites with the proportion of 23.88% on average. It is worthy to mention that C08 satellite performs the most remarkable improvement with the proportion up to 32.26%.
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Keywords:
- BDS /
- IGSO/MEO /
- code pseudorange variations /
- epoch difference /
- modeling for each sa-tellite
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图 1 C10卫星MP1观测值随高度角变化的时序图
Figure 1. Variations of MP1 Observations with Corresponding Elevation Angles on Time Domain of C10 Satellite
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图 4 采用Data1的一步法和两步法建模改正效果对比
Figure 4. Comparison of Models Correction Effect of One-Step and Two-Step Methods Using Data1
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图 5 Data1单星建模与同类型卫星整体建模曲线
Figure 5. Models Curves of Each Satellite and the Group One Using Data1
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图 6 采用Data1逐卫星建模与同类型卫星整体建模改正效果对比
Figure 6. Comparison of Models Correction Effect of Each IGSO/MEO Satellite and the Group One Using Data1
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图 7 IGSO/MEO单星建模相对同类型卫星整体建模MW值的STD提升比例图
Figure 7. STD Improvement Proportions of MW Observations with Each Satellite Model Relative to IGSO/MEO Satellite Group with One-Step Method
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图 8 采用Data1和Data2一步法单星建模改正效果差异
Figure 8. Comparison of Models Correction Effect of Each IGSO/MEO Satellite Using Data1 and Data2 with One-Step Method
表 1 一步法同类型IGSO/MEO卫星整体建模结果/m
Table 1 Correction Models for IGSO/MEO Satellite Group with One-Step Method/m
系数 IGSO MEO B1 B2 B3 B1 B2 B3 a1 1.19 0.53 0.98 0.53 0.07 -0.05 a2 -0.95 0.23 -0.92 0.23 0.87 0.33 a3 0.40 -0.16 0.40 0.15 -0.28 0.02 
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表 2 每颗IGSO/MEO卫星一步法模型系数/m
Table 2 Elevation-Dependent Correction Models for Each IGSO/MEO Satellite with One-Step Method/m
频率 系数 卫星号 C06 C07 C08 C09 C10 C11 C12 C13 C14 a1 1.53 2.15 0.29 1.25 1.02 1.19 0.79 0.28 -0.10 B1 a2 -1.45 -2.44 -0.20 -1.06 -0.62 -1.01 0.22 0.62 0.97 a3 0.61 0.99 0.15 0.51 0.27 0.73 0.05 -0.06 -0.03 a1 0.15 0.53 -0.12 1.25 1.16 0.08 0.38 0.27 -0.29 B2 a2 0.84 -0.10 0.54 -0.09 -0.78 0.49 0.45 0.85 1.17 a3 -0.41 -0.02 -0.12 -0.18 0.28 -0.03 -0.10 -0.36 -0.31 a1 0.27 0.37 -0.23 0.91 1.45 0.15 -0.65 0.04 0.18 B3 a2 -0.30 0.27 1.34 -1.52 -1.29 0.15 1.33 0.35 -0.27 a3 0.22 -0.18 -0.64 0.88 0.39 0.09 -0.48 -0.003 0.25
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