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China Satellite Navigation Conference (CSNC) 2013 Proceedings pp 291–301Cite as

GNSS Integer Ambiguity Estimation and Evaluation: LAMBDA and Ps-LAMBDA

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 244))

Abstract

Successful integer carrier-phase ambiguity resolution is crucial for high precision GNSS applications. It includes both integer estimation and evaluation. For integer estimation, the LAMBDA method has been applied in a wide variety of GNSS applications. However, before conducting ambiguity resolution, one needs to infer how reliable the fixed solution is expected to be, as incorrect fixed ambiguity solutions often lead to unacceptable positioning errors. In this paper, two Matlab software tools are introduced for the evaluation and integer estimation: Ps-LAMBDA and an updated version of LAMBDA. Evaluation of the integer solution is based on the ambiguity success rate. Since the success rate is generally difficult to compute, some easy-to-use approximations and bounds are provided by the Ps-LAMBDA software. This success rate tool is valuable not only for inferring whether to fix the ambiguities but also for design and research purposes. For the integer estimation, the new version LAMBDA software provides more options of integer estimation and integer search, including the search-and-shrink strategy. In addition, the ratio test is incorporated to validate the significance of the fixed solution. Using these two software tools together allows for the combined execution of integer estimation and evaluation, thus benefiting multi-frequency, multi-GNSS applications.

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Acknowledgments

This work was done in the framework of the project 1.01 ‘New Carrier-Phase Processing Strategies for Next Generation GNSS Positioning’ of the Cooperative Research Centre for Spatial Information. Professor Teunissen is the recipient of an Australian Research Council Federation Fellowship (project No. FF0883188). This support is gratefully acknowledged.

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Authors and Affiliations

  1. GNSS Research Center, Department of Spatial Sciences, Curtin University, Perth, Australia

    Bofeng Li & Peter J.G. Teunissen

  2. Mathematical Geodesy and Positioning, Delft University of Technology, Delft, The Nertherlands

    Sandra Verhagen

Authors
  1. Bofeng Li
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  2. Sandra Verhagen
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  3. Peter J.G. Teunissen
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Corresponding author

Correspondence to Bofeng Li .

Editor information

Editors and Affiliations

  1. , China Aerospace Sci. & Technology Corp., Chinese Academy of Sciences, Beijing, China, People's Republic

    Jiadong Sun

  2. China Satellite Navigation Office, Beijing, China, People's Republic

    Wenhai Jiao

  3. Chinese Academy of Sciences, Navigation Headquarters, Dengzhuang South Road, Beijing, 100094, China, People's Republic

    Haitao Wu

  4. Wuhan University, Wuhan, China, People's Republic

    Chuang Shi

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© 2013 Springer-Verlag Berlin Heidelberg

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Li, B., Verhagen, S., Teunissen, P.J. (2013). GNSS Integer Ambiguity Estimation and Evaluation: LAMBDA and Ps-LAMBDA. In: Sun, J., Jiao, W., Wu, H., Shi, C. (eds) China Satellite Navigation Conference (CSNC) 2013 Proceedings. Lecture Notes in Electrical Engineering, vol 244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37404-3_26

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  • DOI: https://doi.org/10.1007/978-3-642-37404-3_26

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37403-6

  • Online ISBN: 978-3-642-37404-3

  • eBook Packages: EngineeringEngineering (R0)

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