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Solving single-frequency phase ambiguity using parameter weights fitting and constrained equation ambiguity resolution methods

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Abstract

Based on the structural characteristics of the double-differenced normal equation, a new method was proposed to resolve the ambiguity float solution through a selection of parameter weights to construct an appropriate regularized matrix, and a singular decomposition method was used to generate regularization parameters. Numerical test results suggest that the regularized ambiguity float solution is more stable and reliable than the least-squares float solution. The mean square error matrix of the new method possesses a lower correlation than the variance-covariance matrix of the least-squares estimation. The size of the ambiguity search space is reduced and the search efficiency is improved. The success rate of the integer ambiguity searching process is improved significantly when the ambiguity resolution by using constraint equation method is used to determine the correct ambiguity integervector. The ambiguity resolution by using constraint equation method requires an initial input of the ambiguity float solution candidates which are obtained from the LAMBDA method in the new method. In addition, the observation time required to fix reliable integer ambiguities can be significantly reduced.

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Authors and Affiliations

  1. Key Laboratory of Dynamic Geodesy, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 430077, Wuhan, China

    Yang Ren-gui PhD, Ou Ji-kun, Yuan Yun-bin & Wen De-bao

  2. Graduate School of Chinese Academy of Sciences, 100039, Beijing, China

    Yang Ren-gui PhD & Wen De-bao

  3. School of Mathematical and Geospatial Sciences, RMIT University, Australia

    Zhang Ke-fei & Ron Grenfell

Authors
  1. Yang Ren-gui PhD
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  2. Ou Ji-kun
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  3. Yuan Yun-bin
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  4. Zhang Ke-fei
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  5. Wen De-bao
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  6. Ron Grenfell
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Correspondence to Yang Ren-gui PhD.

Additional information

Foundation item: Project (40474009 and 40204001) supported by the National Nature Science Foundation of China

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Yang, Rg., Ou, Jk., Yuan, Yb. et al. Solving single-frequency phase ambiguity using parameter weights fitting and constrained equation ambiguity resolution methods. J Cent. South Univ. Technol. 13, 93–98 (2006). https://doi.org/10.1007/s11771-006-0113-6

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  • DOI: https://doi.org/10.1007/s11771-006-0113-6

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