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Ambiguity Dilution of Precision (ADOP)

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  • First Online:
Encyclopedia of Geodesy

Part of the book series: Encyclopedia of Earth Sciences Series ((EESS))

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Definition

Successful carrier-phase integer ambiguity resolution is the key to high-precision positioning with Global Navigation Satellite Systems (GNSS). The Ambiguity Dilution of Precision (ADOP), introduced in (Teunissen 1997), is an easy-to-compute scalar diagnostic to measure the intrinsic model strength for successful ambiguity resolution.

Let the real-valued ambiguity float estimator of the GNSS integer ambiguity vector a âˆˆ â„¤n be distributed as \( \hat{a}\sim {\mathcal{N}}_n\left(a,\, {Q}_{\hat{a}\, \hat{a}}\right), \) in which \( {Q}_{\hat{a}\, \hat{a}} \) denotes the ambiguity variance matrix. Then the ADOP is defined as

$$ \textrm{ADOP}={\sqrt{\mid {Q}_{\hat{a}\, \hat{a}}\mid}}^{\frac{1}{n}}\kern1em \left(\textrm{cycle}\right) $$
(1)

with |.| denoting the determinant operation.

Properties

An important property of the ADOP is its invariance against ambiguity reparametrizations. As the transformation matrix Z of an ambiguity reparametrization \( \hat{z}=Z\hat{a} \)is...

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References and Reading

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Author information

Authors and Affiliations

  1. Department of Geoscience and Remote Sensing, Delft University of Technology, Delft, The Netherlands

    P. J. G. Teunissen

  2. Department of Infrastructure, University of Melbourne, Melbourne, VIC, Australia

    P. J. G. Teunissen

  3. GNSS Research Centre, Curtin University of Technology, Perth, WA, Australia

    P. J. G. Teunissen

Authors
  1. P. J. G. Teunissen
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Corresponding author

Correspondence to P. J. G. Teunissen .

Editor information

Editors and Affiliations

  1. Department of Geomatics Engineering, University of Calgary, Calgary, AB, Canada

    Michael G. Sideris

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Teunissen, P.J.G. (2023). Ambiguity Dilution of Precision (ADOP). In: Sideris, M.G. (eds) Encyclopedia of Geodesy. Encyclopedia of Earth Sciences Series. Springer, Cham. https://doi.org/10.1007/978-3-319-02370-0_189-1

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  • DOI: https://doi.org/10.1007/978-3-319-02370-0_189-1

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  • Print ISBN: 978-3-319-02370-0

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