Detection and repair method for single gross error of observed quantity in satellite navigation system
A technology of a satellite navigation system and a repair method, which is applied in the field of detection and repair of a single gross error in a satellite navigation system, can solve problems such as poor safety and reliability, and achieve the effect of high reliability and accurate detection position
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[0038] Embodiment: Step 1: the pseudorange observation equation of the global satellite navigation system GNSS is AX=L, and in the stochastic model, the weight matrix is P, expressed as
[0039]
[0040] In the formula, X is the position parameter vector, A is the coefficient matrix, and the observed quantity is L, expressed as L=[l 1 l 2 …l k …l n ] T . According to the least squares estimation method, the estimation of the location parameter vector X is obtained, and the residual error corresponding to the observation L is expressed as:
[0041] V=(I-A(A T PA) -1 A T P) L=L-AX=e=[v 1 v 2 … v k … v n ] T , where I is the identity matrix.
[0042] Described step two comprises steps:
[0043] S201: Calculate the residual corresponding to the unit vector according to the pseudorange observation equation;
[0044] The unit vector group is b k ,k=1,2,...,n, unit vector group includes n vectors, unit vector b k for b k =[00...1...0] T , indicating that the k...
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