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JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A 2011, Vol. 37 Issue (4) :472-477    DOI:
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Improved method of satellite positioning and dilution of precision
Chen Canhui, Zhang Xiaolin*
School of Electronics and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

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Abstract In satellite navigation system, the traditional algorithm of solving dilution of precision (DOP) and satellite positioning based on least square method is the direct matrix inverse (DMI) method. In order to overcome the disadvantages of high computational burden and poor numerical stability of traditional DMI method, an improved method of satellite positioning and DOP was presented based on the matrix U T DU decomposition, which made use of the symmetric and positive definite performance of the measurement matrix. The correctness and validity of the new method can be guaranteed by the strict mathematical theory. The numerical results show that, in comparison with the traditional DMI method, the reduction of operational volume of positioning is about 60% and that of solving DOP is about 36% by the proposed method. At the same time, the condition number of the solving matrix of the improved method has reduced considerably after decomposition and the numerical stability is significantly improved.
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Keywordssatellite navigation   least square   solutions   dilution of precision (DOP)   matrix decomposition     
Received 2010-06-08;
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Chen Canhui, Zhang Xiaolin.Improved method of satellite positioning and dilution of precision[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2011,V37(4): 472-477
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http://bhxb.buaa.edu.cn//EN/     or     http://bhxb.buaa.edu.cn//EN/Y2011/V37/I4/472
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