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    The affine constrained GNSS attitude model and its multivariate integer least-squares solution

    189261_71891_Affine_constrained_Teunissen.pdf (418.4Kb)
    Access Status
    Open access
    Authors
    Teunissen, Peter
    Date
    2012
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Teunissen, P.J.G. 2012. The affine constrained GNSS attitude model and its multivariate integer least-squares solution. Journal of Geodesy. 86 (7): pp. 547-563.
    Source Title
    Journal of Geodesy
    DOI
    10.1007/s00190-011-0538-z
    Additional URLs
    http://link.springer.com/article/10.1007%2Fs00190-011-0538-z
    ISSN
    09497714
    URI
    http://hdl.handle.net/20.500.11937/36430
    Collection
    • Curtin Research Publications
    Abstract

    A new global navigation satellite system (GNSS) carrier-phase attitude model and its solution are introduced in this contribution. This affine-constrained GNSS attitude model has the advantage that it avoids the computational complexity of the orthonormality-constrained GNSS attitude model, while it still has a significantly improved ambiguity resolution performance over its unconstrained counterpart. The functional and stochastic model is formulated in multivariate form, for one-, two- and three-dimensional antenna arrays, tracking GNSS signals on an arbitrary number of frequencies with two or more antennas. The stochastic model includes the capability to capture variations in the antenna quality within the array. The multivariate integer least squares solution of the model parameters is given and the model’s ambiguity success-rate is analysed by means of the ambiguity dilution of precision (ADOP). A general closed form expression for the affine-constrained ADOP is derived, thus providing an easy-to-use and insightful rule-of-thumb for the ambiguity resolution capabilities of the affine constrained GNSS attitude model.

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