基于几何相关的GPS观测量随机误差模型的研究

doi:10.11959/j.issn.1000-436x.2019188

Abstract

Abstract:

Aiming at the problem of not enough influencing factors were considered in traditional methods,a much more realistic stochastic model was built.In which error corrections were introduced into the geometry-based function model,an improved least squares variance component estimation (LS-VCE) algorithm with space-for-time was used to solve the model,two sets of real GPS data were collected to evaluate the performance of the model,and with which the carrier phase integer ambiguity was solved.The experimental results show that the proposed methods are superior to the traditional methods in terms of model accuracy,model solution complexity and integer ambiguity resolution.

Key words: LS-VCE, stochastic error model, geometry-based observation model, IAR

CLC Number:

TN961

Taoyun ZHOU,Baowang LIAN,Dongdong YANG,Yi ZHANG,Chenglin CAI. Research on GPS geometry-based observational stochastic error model[J]. Journal on Communications, 2019, 40(9): 74-85.

Figures/Tables 14

References 23

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基线长度/m	改进前/s	改进后/s	效率提高
2.791 2	546	165	69.8%
0	351	101	71.2%

基线长度/m	观测量类型	标准差（迭代后）/m	观测量方差	标准差（迭代前）/m
	L₁伪距	0.291 2	0.089 7	0.294 2
2.791 2	L₁载波相位	0.002 2	4.982 2×10^-6	0.001 7
	L₂伪距	0.309 4	0.101 0	0.279 4
	L₂载波相位	0.002 9	9.381 6×10^-6	0.002 4
	L₁伪距	0.213 4	0.046 7	0.219 4
0	L₁载波相位	0.001 0	1.130 4×10^-6	0.001 0
	L₂伪距	0.188 4	0.036 2	0.179 9
	L₂载波相位	0.001 3	1.824 9×10^-6	0.001 3

基线长度/m	相关类型	相关系数（迭代后）	协方差	相关系数（迭代前）
	L₁-L₂伪距	0.102 2	0.0100	0.039 7
	L₁伪距-L₁相位	0.016 0	1.025 8×10^-5	-0.001 9
2.791 2	L₂伪距-L₁相位	-0.008 4	-6.255 2×10^-6	-0.032 7
	L₁伪距-L₂相位	0.021 1	1.795 8×10^-5	0.021 8
	L₂伪距-L₂相位	0.006 9	7.679 4×10-^-6	-0.007 5
	L₁-L₂相位	0.665 2	4.539 3×10^-6	0.300 2
	L₁伪距-L₂伪距	0.122 8	0.0051	0.108 4
	L₁伪距-L₁相位	-0.005 7	-1.018 8×10^-6	-0.003 9
0	L₂伪距-L₁相位	-0.008 8	-1.775 4×10^-6	-0.007 2
	L₁伪距-L₂相位	-0.007 5	-1.930 4×10-⁶	-0.007 1
	L₂伪距-L₂相位	-0.008 3	-2.067 1×10^-6	-0.004 7
	L₁-L₂相位	0.782 2	1.138 7×10^-6	0.739 9

基线长度/m	迭代前		迭代后
基线长度/m	a	b	a	b
2.791 2	0.563 9	-0.020 4	0.492 9	-0.099 9
0	0.746 2	0.215 4	0.605 1	0.072 8

基线长度/m	历元	相关系数（迭代后）	时间相关性	相关系数（迭代前）
	1	1.000 0	0.051 4	1.000 0
	2	0.693 5	0.050 7	0.475 4
2.791 2	3	0.683 2	0.050 9	0.462 0
	4	0.672 0	0.051 6	0.450 4
	5	0.658 4	0.054 8	0.437 1
	1	1.000 0	0.016 4	1.000 0
	2	0.151 3	0.012 0	0.114 2
0	3	0.116 4	0.014 0	0.084 7
	4	0.104 8	0.018 4	0.076 7
	5	0.100 3	0.032 3	0.073 0

Research on GPS geometry-based observational stochastic error model

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Figures/Tables 14

References 23

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数据类型	模型类型	短基线解算正确率	零基线解算正确率
	1	1.252%	3.478%
	2	84.033%	98.949%
L₁	3	87.428%	99.193%
	4	92.549%	99.629%
	1	2.675%	11.237%
L₂	2	91.602%	99.785%
	3	93.805%	99.789%
	4	95.714%	99.847%

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