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    A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS.

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    Fulltext not available
    Authors
    Teunissen, Peter
    Date
    1998
    Type
    Journal Article
    
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    Citation
    Teunissen, P.J.G. 1998. A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS. IEEE Trans. Aerospace and Electronic Systems. 34(2): pp. 693-695.
    School
    Department of Spatial Sciences
    URI
    http://hdl.handle.net/20.500.11937/3768
    Collection
    • Curtin Research Publications
    Abstract

    The dilution of precision terms for relative positioning as defined in [1], are bounded from above by the corresponding dilution of precision terms for point positioning. In [1], this result is proven for the case of four satellites and conjectured to be valid for the case of more than four satellites. A proof of this conjecture is given. We also extend the result by giving two different lower bounds for the dilution of precision terms. The first lower bound depends on the receiver-satellite geometry, whereas the second does not. The proof of the bounds is based on the solution of a generalized eigenvalue problem.

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