Skip to main content
Journal of the Brazilian Computer Society
Download PDF

Concurrent blind channel equalization with phase transmittance RBF neural networks

Journal of the Brazilian Computer Society volume 13, pages 18–25 (2007)Cite this article

Abstract

This paper presents a new complex valued radial basis function (RBF) neural network (NN) with phase transmittance between the input nodes and output, which makes it suitable for channel equalization on quadrature digital modulation systems. The new Phase Transmittance RBFNN (PTRBFNN) differs from the classical complex valued RBFNN in that it does not strictly rely on the Euclidean distance between the input vector and the center vectors, thus enabling the transference of phase information from input to output. In the context of blind channel equalization, results have shown that the PTRBFNN not only solves the phase uncertainty of the classical complex valued RBFNN but also presents a faster convergence rate.comes the abstract of the paper.

References

  1. S. Chen, S. McLaughlin and B. Mulgrew: Complex-Valued Radial Basis Function Network, Part I: Network Architecture and Learning Algorithms.Signal Processing. vol. 35, pages 19–31,1994.

    Article  MATH  Google Scholar 

  2. S. Chen, S. McLaughlin and B. Mulgrew: Complex-Valued Radial Basis Function Network, Part II: Application to Digital Communications Channel Equalisation.Signal Processing. vol. 36, pages 175–188, 1994.

    Article  MATH  Google Scholar 

  3. Cha I. and Kassam S.: Channel Equalization Using Adaptative Complex Radial Basis Function Networks.IEEE Journal on Selected Areas in Communications. vol.13, no. 1, pages.122–131, 1995.

    Article  Google Scholar 

  4. Gan Q., Saratchandran P., Sundararajan N., and Subramanian K. R.: A Complex Valued Radial Basis Function Network for Equalization of Fast Time Varying Channels.IEEE Transactions on Neural Networks. vol. 10, no. 4, 1999.

  5. Jianping D., Sundararajan N. , and Saratchandran P.: Communication Channel Equalization Using Complex-Valued Minimal Radial Basis Function Neural Networks.IEEE Transactions on Neural Networks, vol. 13, no. 3, 2002.

  6. J. G. Proakis. Digital Communications, 3rd ed., McGraw-Hill, 1995.

  7. S. Haykin. Adaptative Filter Theory. 3rd ed., Prentice Hall, Upper Saddle River, New Jersey, 1996.

    Google Scholar 

  8. S. Haykin. Neural Networks. 2nd ed., Prentice Hall, Upper Saddle River, New Jersey, 1999.

    Google Scholar 

  9. S. Haykin. Blind Deconvolution. Prentice-Hall, 1994.

  10. Fernando C.C. De Castro, M. Cristina F. De Castro, Dalton S. Arantes. Concurrent Blind Deconvolution for Channel Equalization.IEEE International Conference On Communications ICC2001. page. 366-371, Helsinki, Finland , June 2001.

  11. Gitling R.D. and Weinstein S.B.: Fractionally-Spaced Equalization: An Improved Digital Transversal Equalizer.Bell Systems Technical Journal, vol. 60, 1981.

  12. SPIB — Signal Processing Information Base. http://spib.rice.edu/spib/microwave.html, http://spib.rice.edu/spib/cable.html

  13. Godard D.N.: Self-Recovering Equalization and Carrier Tracking in Two-Dimensional Data Communication Systems.IEEE Transactions on Communications. vol. COM-28, no.11, November 1980.

  14. Chen S. and Chang E.S.: Fractionally spaced blind equalization with low-complexity concurrent constant modulus algorithm and soft decision-directed scheme.International Journal of Adaptive Control and Signal Processing. 19(6) page. 471–484, 2005.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical Engineering Wireless Technologies Research Center - CPTW, Pontifical Catholic University of Rio Grande do Sul, Av. Ipiranga 6681, Zip 90619-000, Porto Alegre, RS, BRAZIL

    Diego Vier Loss, Maria Cristina Felippetto De Castro, Paulo Roberto Girardello Franco & Fernando César Comparsi de Castro

Authors
  1. Diego Vier Loss
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Maria Cristina Felippetto De Castro
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Paulo Roberto Girardello Franco
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Fernando César Comparsi de Castro
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Loss, D.V., De Castro, M.C.F., Franco, P.R.G. et al. Concurrent blind channel equalization with phase transmittance RBF neural networks. J Braz Comp Soc 13, 18–25 (2007). https://doi.org/10.1007/BF03192398

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03192398

Keywords