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Journal of Tsinghua University(Science and Technology)    2014, Vol. 54 Issue (4) : 425-431     DOI:
Orginal Article |
Multiple failure detection based on reconstruction of the pseudorange error
Xin ZHANG,Xiaowei CUI(),Zhenming FENG
Department of Electronic Engineering, Tsinghua University, Beijing 100084, China
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Abstract  

The traditional RAIM algorithm uses the residuals of the positioning equation for failure detection and gives better detection when only one fault exists. The global navigation satellite system gives users many more ranging sources with better positioning thanks to the increased number of visible satellites. However, the probability of simultaneous failures also increase which requires improves to the traditional RAIM algorithm to address multiple failures. The RAIM design was analyzed to deduce a relationship between the residuals and the error vector. Examples then show that some information is lost when projecting from the error vector to the residuals, which limits failure detection. A modified RAIM algorithm with additional constraints that enable the error vector to be recovered from the residuals so that multiple failures can be detected monitoring the error vector. Simulations show the ability of this method for multiple failures.

Keywords satellite navigation system      receiver autonomous integrity monitoring (RAIM)      projection matrix      residual      error reconstruction     
Issue Date: 15 April 2014
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Xin ZHANG
Xiaowei CUI
Zhenming FENG
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Xin ZHANG,Xiaowei CUI,Zhenming FENG. Multiple failure detection based on reconstruction of the pseudorange error[J]. Journal of Tsinghua University(Science and Technology), 2014, 54(4): 425-431.
URL:  
http://jst.tsinghuajournals.com/EN/     OR     http://jst.tsinghuajournals.com/EN/Y2014/V54/I4/425
特征值 特征向量
0 [-0.633, -0.056, -0.014, -0.360, -0.568, 0.370, -0.083]T
[0.384, -0.115, -0.476, -0.412, 0.220, 0.600, 0.188]T
[0, 0.021, 0.444, 0.495, 0.160, 0.701, -0.202]T
[0, 0.601,0.287, -0.080, -0.069, 0.083, 0.734]T
1 [0.251, 0.736, -0.198, -0.060, -0.207, 0.032, -0.555]T
[-0.624, 0.283, -0.358, 0.088, 0.628, 0.007, -0.023]T
[0, 0.016, 0.571, -0.662, 0.401, -0.063, -0.264]T
  
误差模式 定位结果误差 残差向量 检验统计量
E1 [-7.9, -8.6, 0.2] [0.25, 18.67, -7.12, -0.90, 0.94, 0.74, -12.59] 560.1
E2 [-2.2, 32.3, 8.3] [0.12, 0.74, -1.33, 1.20, -0.83, 0.15, -0.05] 4.5
E3 [-13.0, -2.1, 21.7] [-3.75, -12.59, -0.98, 6.18, -0.17, -0.05, 11.36] 340.7
  
分组号 进行约束
的卫星编号
可进行故障识
别的卫星编号
1 3、 4、 5、 6 1、 2
2 1、 2、 5、 6 3、 4
3 1、 2、 3、 4 5、 6
  
分组号 进行约束
的卫星编号
可进行故障识
别的卫星编号
1 4、 5、 6、 7 1、 2、 3
2 2、 3、 6、 7 1、 4、 5
3 2、 3、 4、 5 1、 6、 7
4 1、 3、 5、 7 2、 4、 6
5 1、 3、 4、 6 2、 5、 7
6 1、 2、 5、 6 3、 4、 7
7 1、 2、 4、 7 3、 5、 6
  
可见卫星数 单星故障
分组数
双星故障
分组数
三星故障
分组数
6 3 - -
7 3 7 -
8 2 6 14
9 2 5 12
10 2 5 10
11 2 4 9
12 2 3 8
  
伪距误差向量 Q值
E1 1 [0, 30.0, 0, 0, 0, 0, 0] 0.00
2 [894.0, 0, 0, 503.0, 831.4, 0, 0] 944 322 ×
3 [-10.7, 0, 0, 0, 0, 145.0, -36.1] 1 420 ×
E2 1 [1.5, -0.1, -3.3, 0, 0, 0, 0] 2.3 ×
2 [40.1, 0, 0, 25.0, 36.6, 0, 0] 1 968 ×
3 [0, 0, 0, 0, 0, 30.0, 0] 0.00
E3 1 [-2.8, 25.2, -13.1, 0, 0, 0, 0] 180.5 ×
2 [-590.2, 0, 0, -317.1, -543.1, 0, 0] 395 546 ×
3 [0, 0, 0, 0, 0, 0, 30.0] 0.00
  
  
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