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    A comparison of TCAR, CIR and LAMBDA GNSS ambiguity resolution

    136655_136655.pdf (215.9Kb)
    Access Status
    Open access
    Authors
    Teunissen, Peter
    Joosten, P.
    Tiberius, C.
    Date
    2003
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Teunissen, Peter and Joosten, Peter and Tiberius, Christian. 2003. A comparison of TCAR, CIR and LAMBDA GNSS ambiguity resolution, in Lachapelle, G. (ed), Proceedings of the 15th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 2002), Sep 24-27 2002. Portland, Oregon: ION.
    Source Title
    Proceedings of the 15th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 2002)
    Source Conference
    Proceedings of the 15th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 2002)
    School
    Department of Spatial Sciences
    Remarks

    Reproduced with permission of ION (Institute of Navigation). This paper was published as part of the Conference Proceedings of the 15th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 2002) held Sep 24-27, 2002 in Portland, Oregon.

    URI
    http://hdl.handle.net/20.500.11937/15117
    Collection
    • Curtin Research Publications
    Abstract

    With the envisioned introduction of three-carrier GNSS's (modernized GPS, Galileo), new methods of ambiguity resolution have been developed. In this contribution we will compare two important candidate methods for triple-frequency ambiguity resolution with the already existing LAMBDA (Least-squares Ambiguity Decorrelation Adjustment) method; the TCAR (Three-Carrier Ambiguity Resolution) method; and the CIR (Cascading Integer Resolution) method. It will be shown that for their estimation principle, both TCAR and CIR rely on integer bootstrapping, whereas LAMBDA is based on integer least-squares, of which optimality has been proven, that is, highest probability of success. In TCAR and CIR pre-defined ambiguity transformation are used, whereas LAMBDA exploits the information content of the full ambiguity variance-covariance matrix, with statistical decorrelation the objective in constructing the ambiguity transformation. For the aspect of resolving the ambiguities, TCAR and CIR are designed for use with the geometry-free model. LAMBDA can intrinsically handle any GNSS model with integer ambiguities and thereby utilize satellite geometry to its benefit in geometry-based models.

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