Skip to main content
Log in

Classification of GPS Satellites Using Improved Back Propagation Training Algorithms

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Factor geometric dilution of precision (GDOP) is an indicator that shows the quality of GPS positioning and has often been used for choosing suitable satellite’s subset from at least 24 orbited existing satellites. The calculation of GPS GDOP is a time-consuming task which can be done by solving measurement equations with complicated matrix transformation and inversion. In order to decrease this computational burden, in this research the artificial neural network (ANN) has been used. Although the basic back propagation (BP) is the most popular ANN algorithm and can be used in the estimators, detectors or classifiers, it is too slow for practical problems and its performance is not satisfactory in many cases. To overcome this problem, six algorithms, namely, BP with adaptive learning rate and momentum, Fletcher-Reeves conjugate gradient algorithm (CGA), Polak–Ribikre CGA, Powell–Beale CGA, scaled CGA, and resilient BP have been proposed to reduce the convergence time of the basic BP. The simulation results show that resilient BP, compared with other methods, has greater accuracy and calculation time. The resilient BP can improve the classification accuracy from 93.16 to 98.02 % accuracy by using the GPS GDOP measurement data.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Mosavi, M. R., & Sorkhi, M. (2009). An efficient method for optimum selection of GPS satellites set using recurrent neural network. In IEEE Conference on Advanced Intelligent Mechatronics (pp. 245–249).

  2. Zhang M., Zhang J. (2009) A fast satellite selection algorithm: Beyond four satellites. IEEE Journal of Selected Topics in Signal Processing 3(5): 740–747

    Article  Google Scholar 

  3. Yarlagadda R., Ali I., Al-Dhahir N., Hershey J. (2000) GPS GDOP metric. IEE Proc-Radar, Sonar Navig 147(5): 259–264

    Article  Google Scholar 

  4. Zho J. (1992) Calculation of geometric dilution of precision. IEEE Transactions on Aerospace and Electronic Systems 28(3): 893–895

    Article  Google Scholar 

  5. Phatak M. S. (2001) Recursive method for optimum GPS satellites selection. IEEE Transactions on Aerospace and Electronic Systems 37(2): 751–754

    Article  Google Scholar 

  6. Jwo D. J., Lai C. C. (2007) Neural network-based GPS GDOP approximation and classification. Journal of GPS Solutions 11(1): 51–60

    Article  Google Scholar 

  7. Cho S. B. (1997) Neural network classifiers for recognizing totally unconstrained hand written numerals. IEEE Transactions on Neural Network 8(1): 43–53

    Article  Google Scholar 

  8. Wang L., Fu X. (2005) Data mining with computational intelligence. Springer, Berlin

    MATH  Google Scholar 

  9. Yap, K. H., & Guan, L. (2000). A recursive soft-decision PSF and neural network approach to adaptive blind image regularization. In International Conference on Image Processing, Vol. 3 (pp. 813–816).

  10. Xiao-Shuai, X., Qing-Quan, Z., Pei-Lin, Y., & Zhao-Yang, L. C. C. (2010). Research on BP algorithm based on conjugate gradient. In 2nd International Conference on Information Science and Engineering (pp. 5620–5623).

  11. Igel C., Husken M. (2003) Empirical evaluation of the improved RPROP learning algorithms. Journal of Neurocomputing 50: 105–123

    Article  MATH  Google Scholar 

  12. Azami H., Sanei S., Mohammadi K. (2011) Improving the neural network training for face recognition using adaptive learning rate, resilient back propagation and conjugate gradient algorithm. Journal of Computer Applications 34(2): 22–26

    Google Scholar 

  13. Kovach, K. (2000). New user equivalent range error (UERE) budget for the modernized navstar global positioning system (GPS). In Proceedings of the 2000 national technical meeting of the institute of navigation (pp. 550–573).

  14. Mosavi M. R., Azami H. (2011) Applying neural network ensembles for clustering of GPS satellites. Journal of Geoinformatics 7(3): 7–14

    Google Scholar 

  15. Wu C. H., Su W. H., Ho Y. W. (2011) A study on GPS GDOP approximation using support-vector machines. IEEE Transactions on Instrumentation and Measurement 60(1): 137–145

    Article  Google Scholar 

  16. Paulin F., Santhakumaran A. (2011) Classification of breast cancer by comparing back propagation training algorithms. International Journal on Computer Science and Engineering 3(1): 327–332

    Google Scholar 

  17. Sheel, S., Varshney, T., & Varshney, R. (2007). Accelerated learning in MLP using adaptive learning rate with momentum coefficient. In International Conference on Industrial and Information Systems (pp. 307–310).

  18. Shaheed, M. H. (2004). Performance analysis of 4 types of conjugate gradient algorithms in the nonlinear dynamic modelling of a TRMS using feedforward neural networks. In IEEE Conference on Systems, Man and Cybernetics (pp. 5985–5990).

  19. Zakaria, Z., Isa, N. A. M., & Suandi, S. A. (2010). A study on neural network training algorithm for multiface detection in static images. In International Conference on Computer, Electrical Systems Science, and Engineering (pp. 170–173).

  20. Moller M. F. (1993) A scaled conjugate gradient algorithm for fast supervised learning. Neural Networks 6: 525–533

    Article  Google Scholar 

  21. Ahmad, I., Ansari, M. A., & Mohsin, S. (2008). Performance comparison between backpropagation algorithms applied to intrusion detection in computer network systems. In International Conference on Applied Computer and Applied Computational Science (pp. 231–236).

  22. Mastorocostas P. A. (2004) Resilient back propagation learning algorithm for recurrent fuzzy neural networks. Electronics Letters, 40(1): 57–58

    Article  Google Scholar 

  23. Doong S. H. (2009) A closed-form formula for GPS GDOP computation. Journal of GPS Solutions 13(3): 183–190

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammad-Reza Mosavi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Azami, H., Mosavi, MR. & Sanei, S. Classification of GPS Satellites Using Improved Back Propagation Training Algorithms. Wireless Pers Commun 71, 789–803 (2013). https://doi.org/10.1007/s11277-012-0844-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-012-0844-7

Keywords

Navigation