Skip to main content

Wavelet Neural Network Algorithms with Applications in Approximation Signals

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7095))

Abstract

In this paper we present algorithms which are adaptive and based on neural networks and wavelet series to build wavenets function approximators. Results are shown in numerical simulation of two wavenets approximators architectures: the first is based on a wavenet for approach the signals under study where the parameters of the neural network are adjusted online, the other uses a scheme approximators with an IIR filter in the output of wavenet, which helps to reduce convergence time to a minimum time desired.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Haykin, S.: Neural Networks: A Comprehensive Foundation. Prentice Hall PTR, Upper Saddle River (1994)

    MATH  Google Scholar 

  2. Haykin, S.: Kalman Filtering and Neural Networks. John Wiley & Sons, New York (2001)

    Book  Google Scholar 

  3. Gupta, M.M., Jin, L., Homma, N.: Static and Dynamic Neural Networks: From Fundamentals to Advanced Theory. John Wiley and Sons (2003)

    Google Scholar 

  4. Wang, J., Wang, F., Zhang, J., Zhang, J.: Intelligent controller using neural network. In: Yang, S.-Z., Zhou, J., Li, C.-G. (eds.) Proceedings SPIE Intelligent Manufacturing (1995)

    Google Scholar 

  5. Jun, W., Hong, P.: Constructing fuzzy wavelet network modeling. International Journal of Information Technology 11, 68–74 (2005)

    Google Scholar 

  6. Li, S.T., Chen, S.C.: Function approximation using robust wavelet neural networks. In: Proceedings 14th IEEE International Conference on Tools with Artificial Intelligence (ICTAI 2002), pp. 483–488 (November 2002)

    Google Scholar 

  7. Park, J., Sandberg, I.W.: Universal approximation using radial-basis-function networks. Neural Computation 3, 246–257 (1991)

    Article  Google Scholar 

  8. Ting, W., Sugai, Y.: A wavelet neural network for the approximation of nonlinear multivariable function. In: IEEE International Conference on Systems, Man, and Cybernetics, IEEE SMC 1999 Conference Proceedings, vol. 3, pp. 378–383 (October 1999)

    Google Scholar 

  9. Wang, W., Lee, T., Liu, C., Wang, C.: Function approximation using fuzzy neural networks with robust learning algorithm. IEEE transactions on systems man and cybernetics Part B Cybernetics 27(4), 740–747 (1997)

    Article  Google Scholar 

  10. Kobayashi, K., Torioka, T.: A wavelet neural network for function approximation and network optimization. In: Dagli, C.H., Fernandez, B.R., Ghosh, J., Soundar Kumara, R.T. (eds.) Proceedings of the Artificial Neural Networks in Engineering (ANNIE 1994) Conference on Intelligent Engineering Systems Through Artificial Neural Networks, vol. 4 (1994)

    Google Scholar 

  11. Li, S.T., Chen, S.C.: Function approximation using robust wavelet neural networks. In: 14th IEEE International Conference on Tools with Artificial Intelligence (2002)

    Google Scholar 

  12. Rousseeuw, P.J., Leroy, A.M.: Robust Regression and Outlier Detection. Wiley (1987)

    Google Scholar 

  13. Chen, D.K., Han, H.Q.: Approaches to realize high precision analog-to-dogital comverter based on wavelet neural network. In: International Conference on Wavelet Analysis and Pattern Recognition, Beijing, China (2007)

    Google Scholar 

  14. Gopinath, S., Kar, I., Bhatt, R.: Online system identification using wavelet neural networks. In: 2004 IEEE Region 10 Conference, TENCON 2004 (2004)

    Google Scholar 

  15. Sitharama, S., Cho, E.C., Phoha, V.V.: Fundations of Wavelet Networks and Applications. Chapman and Hall/CRC, USA (2002)

    Google Scholar 

  16. Zhang, Q., Benveniste, A.: Wavelet networks. IEEE Trans. Neural Networks (6) (November 1992)

    Google Scholar 

  17. Chui, C.K.: An Introduction to Wavelets. Academic Press Inc., Boston (1992)

    MATH  Google Scholar 

  18. Daubechies, I.: Ten lectures on waveletes. In: CBMS-NSF Regional Conference Series in Applied Mathematics. SIAM (1992)

    Google Scholar 

  19. Mallat, S.: Wavelet Signal Processing. Academic Press (1995)

    Google Scholar 

  20. Teolis, A.: Computational Signal Processing with Wavelets. Birkhäuser, USA (1998)

    MATH  Google Scholar 

  21. Vetterli, M., Kovačević, J.: Wavelets and Subband Coding. Prentice-Hall, USA (1995)

    MATH  Google Scholar 

  22. Ye, X., Loh, N.K.: Dynamic system identification using recurrent radial basis function network. In: Proceedings of American Control Conference (1993)

    Google Scholar 

  23. Site, W.: (2009), http://www.physionet.org

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Domínguez Mayorga, C.R., Espejel Rivera, M.A., Ramos Velasco, L.E., Ramos Fernández, J.C., Escamilla Hernández, E. (2011). Wavelet Neural Network Algorithms with Applications in Approximation Signals. In: Batyrshin, I., Sidorov, G. (eds) Advances in Soft Computing. MICAI 2011. Lecture Notes in Computer Science(), vol 7095. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25330-0_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25330-0_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25329-4

  • Online ISBN: 978-3-642-25330-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics