Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    Regularized solution to fast GPS ambiguity resolution

    Access Status
    Fulltext not available
    Authors
    Shen, Y.
    Li, Bofeng
    Date
    2007
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Shen, Y.Z. and Li, B.F. 2007. Regularized solution to fast GPS ambiguity resolution. Journal of Surveying Engineering. 133 (4): pp. 168-172.
    Source Title
    Journal of Surveying Engineering
    DOI
    10.1061/(ASCE)0733-9453(2007)133:4(168)
    ISSN
    07339453
    School
    Department of Spatial Sciences
    Remarks

    A link to the bibliographic record in CE Database is available at http://cedb.asce.org

    URI
    http://hdl.handle.net/20.500.11937/27280
    Collection
    • Curtin Research Publications
    Abstract

    In rapid global positioning systems GPS positioning one of the key problems is to quickly determine the ambiguities of GPS carrier phase observables. Since carrier phase observations are generally collected only for a few minutes in the mode of rapid GPS positioning, the least squares floating solution of the ambiguities will be highly correlated and the decorrelation approach has often beenused in order to reduce the search space of integer ambiguities. In this paper we propose a regularized algorithm as an alternative approach to decorrelation, and compute the regularization parameter by minimizing the trace of mean squared errors. Since regularization has been essential to solve inverse ill-posed problems and shown to be very significant in reducing the condition number of normal matrices, we will explore possible applications of regularization for improving the high correlation of the estimated float ambiguities.Numerical experiments with 50 epochs of single frequency observations show that the condition number after regularization reduces to half of that of the floating solution if the ambiguities could be known to 2–3 cycles. If better knowledge about the ambiguities could be obtained to within 1 cycle, further improvement can be achieved. The results indicate that regularization could be used for fast GPS ambiguity resolution. Our experiments also demonstrate that a scale factor of about 8 is needed to multiply the estimated variance of unit weight for obtaining a reasonable estimator for the accuracy of float ambiguities.

    Related items

    Showing items related by title, author, creator and subject.

    • Effect of biases in integrity monitoring for RTK positioning
      Wang, Kan ; El-Mowafy, Ahmed (2021)
      In road transport, continuous high-accuracy positioning is required in real time. To ensure the proper functioning and safety of vehicular applications, integrity monitoring (IM) is needed to protect from the positioning ...
    • LEO Augmentation in Large-Scale Ionosphere-Float PPP-RTK Positioning
      Wang, K.; El-Mowafy, Ahmed ; Cheng, F.; Yang, X. (2024)
      Precise point positioning-real-time kinematic (PPP-RTK) positioning combines the advantages of PPP and RTK, which enables the integer ambiguity resolution (IAR) without requiring a reference station nearby. The ionospheric ...
    • Combined GPS+BDS+Galileo+QZSS for long baseline RTK positioning
      Odolinski, R.; Teunissen, Peter; Odijk, Dennis (2014)
      In this contribution we will focus on long single-baseline real-time kinematic (RTK) positioning when combining the American GPS, Chinese BDS, European Galileo and Japanese QZSS. The main objective is to demonstrate the ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.