Acta Geodaetica et Cartographica Sinica ›› 2014, Vol. 43 ›› Issue (8): 818-826.

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Ambiguity Decorrelation Algorithm with Integer Block Orthogonalization

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  • Received:2012-06-18 Revised:2013-12-21 Online:2014-08-20 Published:2014-08-27

Abstract:

Since the round-off error will affect the effect and the success rate of the down correlation along with the increase of the matrix’s dimension,this paper introduces the idea of block Gram-Schmidt orthogonalization, and designs the Integer Block Gram-Schmidt Orthogonalization algorithm, meanwhile combines the LLL algorithm to propose the IBGS-LLL decorrelation algorithm. It analyzes the decorrelation effect of different block style with different dimension by using the random simulation method, and confirms the block manner of different measuring mode. This paper compares the IBGS-LLL algorithm with the improved LLL algorithm under kinematic and static mode to prove that the IBGS-LLL decorrelation algorithm possessing has better effect and higher success rate of ambiguity decorrelation.

Key words: Integer Ambiguity, LLL Decorrelation, Integer Block Gram-Schmidt Orthogonalization

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