Fast resolution of double frequency BDS integer ambiguity realized by improved LAMBDA algorithm

WANG Jianmin, MA Tianming, ZHU Huizhong

Systems Engineering - Theory & Practice ›› 2017, Vol. 37 ›› Issue (3) : 768-772.

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Systems Engineering - Theory & Practice ›› 2017, Vol. 37 ›› Issue (3) : 768-772. DOI: 10.12011/1000-6788(2017)03-0768-05

Fast resolution of double frequency BDS integer ambiguity realized by improved LAMBDA algorithm

  • WANG Jianmin, MA Tianming, ZHU Huizhong
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Abstract

Using the BeiDou Navigation Satellite System (BDS) for baseline settlement, the key problem is the correct solution of ambiguity. Using carrier phase observations of BDS to make up wide lane double difference observations, the best effect algorithm of LAMBDA is used to calculate wide lane double difference integer ambiguity. However, the algorithm has the disadvantage of large deviation of ambiguity float solution and large search range. So, the paper put forward to use Tikhonov to improve LAMBDA algorithm, singular value decomposition of the coefficient matrix of the unknown parameters in the wide lane double difference observation equation, replacing the covariance matrix of the LAMBDA algorithm with the decomposition of the covariance matrix and searching for the ambiguity of wide lane double difference, the precision of the float solution of the wide lane double difference integer ambiguity and the accuracy of ambiguity are improved. Deviation average values of ambiguity float solution of improved LAMBDA algorithm were reduced from 1.0829 cycles to 0.0059 cycles, variance values were reduced from 4.0534 cycles to 0.0479 cycles, the accuracy of the degree is raised from 93.52% to 100%.

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BeiDou Navigation Satellite System / double frequency / ambiguity / LAMBDA algorithm

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WANG Jianmin , MA Tianming , ZHU Huizhong. Fast resolution of double frequency BDS integer ambiguity realized by improved LAMBDA algorithm. Systems Engineering - Theory & Practice, 2017, 37(3): 768-772 https://doi.org/10.12011/1000-6788(2017)03-0768-05

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Funding

National Natural Science Foundation of China (41474020, 41504010)
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