Skip to main content

Positioning Quality Control

  • Living reference work entry
  • First Online:
  • 178 Accesses

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

Definition

Quality control. The process of evaluating the precision and reliability of the estimated quantities such as position based on the quality control indicators.

Positioning. The process of estimating the coordinates of an unknown point with respect to a specified datum using different techniques.

Introduction

Redundant measurements generally lead to an inconsistent system of equations caused by the data errors. There are different estimation methods among which the least squares (LS) adjustment provides a relatively simple solution to the problem of solving an inconsistent system of equations. Misspecifications in the mathematical model, such as outliers and sensor failures, will invalidate the LS estimates. It is thus of importance to verify the validity of the assumed mathematical model based on the hypothesis testing (Baarda 1968; Pope 1976; Kok 1984, 1999).

A brief review on the theory of LS estimation and hypothesis testing in linear models in both batch and recursive...

This is a preview of subscription content, log in via an institution.

References and Reading

  • Amiri-Simkooei, A. R., 2001a. Comparison of reliability and geometrical strength criteria in geodetic networks. Journal of Geodesy, 75(4): 227–233

    Article  Google Scholar 

  • Amiri-Simkooei, A. R., 2001b. Strategy for designing geodetic network with high reliability and geometrical strength criteria. Journal of Surveying Engineering, 127(3): 104–117

    Article  Google Scholar 

  • Amiri-Simkooei, A. R., 2007. Least-Squares Variance Component Estimation: Theory and GPS Applications. PhD thesis, Delft, Delft University of Technology.

    Google Scholar 

  • Amiri-Simkooei, A. R., Zangeneh-Nejad, F., Asgari, J., Zaminpardaz, S., 2012. Basic concepts of optimization and design of Geodetic Networks (2012), Journal of Surveying Engineering, 138(4): 172–183

    Article  Google Scholar 

  • Baarda, W., 1967. Statistical Concepts in Geodesy. Publications on Geodesy, Vol. 2, No. 4. Delft: Netherlands Geodetic Commission.

    Google Scholar 

  • Baarda, W., 1968. A Testing Procedure for Use in Geodetic Networks, Vol. 2, No. 5. Delft: Netherlands Geodetic Commission.

    Google Scholar 

  • Baarda, W., 1973. S-Transformation and Criterion Matrices, Netherland Geodetic Commission, Delft

    Google Scholar 

  • Berber, M., Dare, P., Vanícek, P., 2006. Robustness analysis of two dimensional networks. Journal of Surveying Engineering, 132(4): 168–175

    Article  Google Scholar 

  • Grafarend, E. W. 1974. Optimization of geodetic networks. Bollettino Geodesy Science Affairs, 33(4): 351–406

    Google Scholar 

  • Grafarend, E. W., Sanso, F.. 1985. Optimization and Design of Geodetic Betworks, Springer, Berlin

    Google Scholar 

  • Koch, K. R., 1982. Kalman filter and optimal smoothing derived by the regression model. Manuscripta Geodaetica, 7(2): 133–144

    Google Scholar 

  • Koch, K. R., 1999. Parameter Estimation and Hypothesis Testing in Linear Models, 2 Berlin, Springer.

    Book  Google Scholar 

  • Kok, J., 1984. On Data Snooping and Multiple Outlier Testing. NOAA Technical Report, NOS NGS. 30. Rockville: U.S. Department of Commerce, National Geodetic Survey.

    Google Scholar 

  • Kuang, S., 1996. Geodetic Network Analysis and Optimal Design: Concepts and Applications, Chelsea, Ann Arbor Press

    Google Scholar 

  • Pope, A. J., 1976. The Statistics of Residuals and the Detection of Outliers. NOAA Technical Report. NOS65 NGS1. Rockville: U.S. Department of Commerce, National Geodetic Survey.

    Google Scholar 

  • Teunissen, P. J. G., 1990. Quality control in integrated navigation systems. IEEE Aerospace and Electronic Systems Magazine, 5(7): 35–41

    Article  Google Scholar 

  • Teunissen, P. J. G., 2000. Adjustment Theory: An Introduction. VSSD: Series on Mathematical Geodesy and Positioning. Delft, Delft University Press

    Google Scholar 

  • Teunissen, P. J. G., 2006a. Testing Theory: An Introduction. Series on Mathematical Geodesy and Positioning, 2nd edn. Delft University Press, The Netherlands.

    Google Scholar 

  • Teunissen, P. J. G., 2006b. Network Quality Control. Series on Mathematical Geodesy and Positioning, 1st edn. Delft University Press, The Netherlands.

    Google Scholar 

  • Teunissen, P. J. G., 2007. Dynamic Data Processing. Series on Mathematical Geodesy and Positioning. Delft University Press, The Netherlands.

    Google Scholar 

  • Teunissen, P. J. G., Salzmann, M. A., 1989. A recursive slippage test for use in state-space filtering. Manuscripta Geodaetica, 14: 383–390

    Google Scholar 

  • Vanícek, P., Krakiwsky, E. J., Craymer, M. R., Gao, Y., and Ong, P. S., 1990. Robustness analysis. Technical Report 156. Fredericton: Department of Surveying Engineering, University of New Brunswick.

    Google Scholar 

  • Vanícek, P., Craymer, M. R., Krakiwsky, E. J., 2001. Robustness analysis of geodetic horizontal networks. Journal of Geodesy, 75(4): 199–209

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A.R. Amiri-Simkooei .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this entry

Cite this entry

Amiri-Simkooei, A., Zangeneh-Nejad, F. (2017). Positioning Quality Control. In: Grafarend, E. (eds) Encyclopedia of Geodesy. Encyclopedia of Earth Sciences Series. Springer, Cham. https://doi.org/10.1007/978-3-319-02370-0_143-1

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-02370-0_143-1

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02370-0

  • Online ISBN: 978-3-319-02370-0

  • eBook Packages: Springer Reference Earth and Environm. ScienceReference Module Physical and Materials ScienceReference Module Earth and Environmental Sciences

Publish with us

Policies and ethics