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快速GPS基线解算结果的统计分析

STATISTIC ANALYSIS ON GPS BASELINE ESTIMATED BY RAPID ALGORITHM

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【作者】 王爱生欧吉坤阳仁贵詹家民

【Author】 Wang Aisheng1,2,3),Ou Jikun1),Yang Rengui1)and Zhan Jiamin2)1)Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan 4300772)School of Geodesy and Geomatics,Xuzhou Normal University,Xuzhou 2211163)The Graduate School of Chinese Academy of Science,Beijing 100049

【机构】 中国科学院测量与地球物理研究所徐州师范大学测绘学院 武汉430077徐州师范大学测绘学院徐州221116中国科学院研究生院北京100049武汉430077徐州221116

【摘要】 介绍了一种基于修正的TIKHONOV正则化方法的GPS单历元基线解算的基本原理,对连续两天同一时段的实验数据进行静态解算和单历元解算,以静态的解算结果为最或是值,计算单历元结果与最或是值之间的偏差,构成各个基线分量偏差的时间序列,用时间序列分析软件Eviews分析了各个时间序列的正态性、互相关性和自相关性,得出结论:1)偏差服从正态分布,均值都小于1mm,说明没有明显的系统误差或者系统误差在均值中得到很好的抵消;2)标准差最大不超过±5mm,说明单历元解算的精度很高;3)连续两天的X偏差和Y偏差分别有较强的相关性,说明连续两天之间的重复性较好,可以认为是存在一定的多路径效应;4)连续两天的Z偏差的相关性较弱,说明多路径对Z的影响较小。

【Abstract】 The rapid GPS baseline determination principle based improved TIKHONON regularization method using GPS single epoch observations is discussed,a baseline data was observed at same session in adjacent two days is computed using two kinds algorithm,single epoch algorithm and static algorithm.The static result is recognized as most probability value,the differences between single epoch value and most probability value are calculated,which created time series of baseline vector offsets,whose distribution is tested,whose cross-correlation and auto-correlation are determined using the time series analyses software Eviews.The conclusions are derived that 1)Offsets are distributed normally,whose means are smaller than 1mm,which suggest that no notable system error existed,or system error is balanced in time series;2)The standard deviation is smaller than ±5 mm,which suggest that single epoch result precision is good;3)The cross-correlations of X offsets series and Y offsets series are obvious,namely those repeatability is good,which suggest there is multipath error in X or Y offset series;4)The cross-correlation of Z offsets series is unconspicuous,which suggest that the effect of multipath on Z offset is small.

【关键词】 单历元GPS偏差分布相关性
【Key words】 single-epochGPSoffsetdistributioncorrelation
【基金】 国家自然科学基金(40674012;40474009);徐州师范大学科研基金(06XLA17);江苏省高校自然科学研究计划(07KJD420214)
  • 【文献出处】 大地测量与地球动力学 ,Journal of Geodesy and Geodynamics , 编辑部邮箱 ,2007年04期
  • 【分类号】P228.4
  • 【被引频次】9
  • 【下载频次】391
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