Acta Geodaetica et Cartographica Sinica >

2015 , Vol. 44 >Issue 5: 481 - 487

DOI: https://doi.org/10.11947/j.AGCS.2015.20140311

Impact of Decorrelation on Search Efficiency of Ambiguity Resolution

  • LU Liguo ,
  • LIU Wanke ,
  • LI Jiangwei
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  • 1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
    2. Wuhan Institute of Surveying and Mapping, Wuhan 430022, China

Received date: 2014-06-10

  Revised date: 2014-09-10

  Online published: 2015-05-27

Supported by

The National Natural Science Foundation of China (No. 41204030);The National Science and Technology Foundation of Fundamental Surveying and Mapping

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Abstract

The decorrelation performance of LAMBDA algorithm, LLL algorithm and Seysen algorithm are analyzed with evaluation indexes, i.e., condition number, orthogonal defect and S(A). Moreover, relationships between decorrelation performance of the above algorithms and ambiguity search efficiency are evaluated using theoretical and practical validation, respectively. The results validate that there is no inevitable relation between decorrelation performance of variance-covariance matrix of original ambiguity and search efficiency, whereas, traditional views consider that search efficiency can be enhanced just by improving decorrelation performance. Further analysis shows that the essence to improving search efficiency major depends on the permutation of basis vectors according to a certain direction.

Key words： integer ambiguity; decorrelation; lattice reduction; assessment criterion; search efficiency

Cite this article

LU Liguo , LIU Wanke , LI Jiangwei . Impact of Decorrelation on Search Efficiency of Ambiguity Resolution[J]. Acta Geodaetica et Cartographica Sinica, 2015 , 44(5) : 481 -487 . DOI: 10.11947/j.AGCS.2015.20140311

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