时间相关观测的几种动态数据处理方法

doi:10.11947/j.AGCS.2018.20180192

测绘学报 ›› 2018, Vol. 47 ›› Issue (12): 1563-1570.doi: 10.11947/j.AGCS.2018.20180192

• 大地测量学与导航 • 下一篇

时间相关观测的几种动态数据处理方法

李博峰, 章浙涛

同济大学测绘与地理信息学院, 上海 200092

收稿日期:2018-04-27 修回日期:2018-09-07 出版日期:2018-12-20 发布日期:2018-12-24
作者简介:李博峰(1983-),男,博士,教授,研究方向为多频多模GNSS数据处理理论及应用新技术。E-mail:bofeng_li@tongji.edu.cn
基金资助:
国家自然科学基金（41574031；41622401）；上海市科技委员会科技创新行动计划（17511109501；17DZ1100802；17DZ1100902）

Several Kinematic Data Processing Methods for Time-correlated Observations

LI Bofeng, ZHANG Zhetao

College of Surveying and GeoInformatics, Tongji University, Shanghai 200092, China

Received:2018-04-27 Revised:2018-09-07 Online:2018-12-20 Published:2018-12-24
Supported by:
The National Natural Science Foundation of China (Nos. 41574031;41622401);The Scientific and Technological Innovation Plan of Shanghai Science and Technology Committee (Nos. 17511109501;17DZ1100802;17DZ1100902)

摘要/Abstract

摘要： 现代大地测量数据中往往存在时间相关性，忽略观测值时间相关性会影响参数估值的精度和可靠性。因此，本文研究了几种时间相关观测的动态数据处理方法。首先，对观测值时间相关性的处理方法进行了扩展和统一。利用极大验后估计原理，提出了第3种思路，并在无历元公用参数和有历元公用参数两类模型下，详细推导了去相关变换法、差分变换法和极大验后估计法这3种思路的动态解，并对它们的特点和等价性进行了论证。其次，为了平衡实际应用中的解算效率且同时有效顾及时间相关性，利用自相关函数表达时间相关性，导出了相应退化形式。最后，通过GPS实测数据验证了本文理论公式的正确性和实用性。

关键词: 时间相关, 动态解, 去相关变换, 差分变换, 极大验后估计

Abstract: Time correlations always exist in modern geodetic data, and ignoring these time correlations will affect the precision and reliability of solutions. In this paper, several kinematic data processing methods for time-correlated observations are studied. Firstly, the method for processing the time-correlated observations is expanded and unified. Based on the theory of maximum a posteriori estimation, the third idea is proposed. Two types of situations with and without common parameters are both investigated by using the decorrelation transformation, differential transformation and maximum a posteriori estimation solutions. Besides, the characteristics and equivalence of above three methods are studied. Secondly, in order to balance the computational efficiency in real applications and meantime effectively capture the time correlations, the corresponding reduced forms based on the autocorrelation function are deduced. Finally, with GPS real data, the correctness and practicability of derived formulae are evaluated.

Key words: time correlation, kinematic solution, decorrelation transformation, differential transformation, maximum a posteriori estimation

中图分类号:

P207

李博峰, 章浙涛. 时间相关观测的几种动态数据处理方法[J]. 测绘学报, 2018, 47(12): 1563-1570.

LI Bofeng, ZHANG Zhetao. Several Kinematic Data Processing Methods for Time-correlated Observations[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(12): 1563-1570.

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时间相关观测的几种动态数据处理方法

Several Kinematic Data Processing Methods for Time-correlated Observations

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