| 精密单点定位的可靠性研究 |
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| 引用本文： | 许长辉,高井祥,周锋,王坚.精密单点定位的可靠性研究[J].武汉大学学报(信息科学版),2012,37(6):709-713. |
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| 作者姓名： | 许长辉 高井祥 周锋 王坚 |
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| 作者单位： | 中国矿业大学环境与测绘学院,徐州市三环南路,221116 |
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| 基金项目： | 国家自然科学基金青年基金资助项目，国家自然科学基金资助项目，国家教育部博士点基金(新教师)资助项目，国家留学基金委建设高水平大学公派留学资助项目 |
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| 摘 要： | 从传统最小二乘的可靠性理论出发,推导了卡尔曼滤波观测方程和预计状态向量的可靠性理论,并与传统多余观测分量的可靠性进行比较。结果表明,两种方案的观测方程的内部可靠性不仅与观测值的精度有关,还与卫星几何结构和卫星高度角有关。卡尔曼滤波的预计状态向量的内部可靠性比观测方程的内部可靠性更易受卫星几何结构的影响。虽然两种方案的外部可靠性在收敛之后都在mm级,但伪距的收敛速度要快于载波相位。
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| 关 键 词： | 精密单点定位 可靠性 多余观测数 残差 |
Reliability Analysis of Precise Point Positioning |
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| XU Changhui,GAO Jingxiang,ZHOU Feng,WANG Jian.Reliability Analysis of Precise Point Positioning[J].Geomatics and Information Science of Wuhan University,2012,37(6):709-713. |
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| Authors: | XU Changhui GAO Jingxiang ZHOU Feng WANG Jian |
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| Institution: | 1(1 School of Environmental Science and Spatial Informatics,China University of Mining and Technology, South Sanhuan Road,Xuzhou 221116,China) |
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| Abstract: | Anomaly of mathematical model in Kalman filter can be caused by various outliers in precise point positioning.To find out the minimal detectable biases(MDB) resulting from this anomaly and the effects of undetectable outliers on estimator,the reliability of Kalman filter is necessary.This reliability of both measurements and predicted state are derived according to the reliability theory of the least squares and compared with the reliability of traditional redundancy.The results show that the internal reliability of two methods is related not only with the precision of the observation,but also with satellite geometry as well as elevation.Meanwhile,the internal reliability of predicted state is more sensitive with geometry than the internal reliability of measurements.Although the external reliability of two methods is at mm level,the convergence of pseudorange is faster than carrier phase. |
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| Keywords: | precise point positioning reliability redundancy residuals |
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