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Design of a Fuzzy Based Outer Loop Controller for Improving the Training Performance of LMS Algorithm

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 2))

Abstract

Because of the fact that mobile communication channel changes by time, it is necessary to employ adaptive channel equalizers in order to combat the distorting effects of the channel. Least Mean Squares (LMS) algorithm is one of the most popular channel equalization algorithms and is preferred over other algorithms such as the Recursive Least Squares (RLS) and Maximum Likelihood Sequence Estimation (MLSE) when simplicity is a dominant decision factor. However, LMS algorithm suffers from poor performance and convergence speed within the training period specified by most of the standards. The aim of this study is to improve the convergence speed and performance of the LMS algorithm by adjusting the step size using fuzzy logic. The proposed method is compared with the Channel Matched Filter-Decision Feedback Equalizer (CMF-DFE) [1] which provides multi path propagation diversity by collecting the energy in the channel, Minimum Mean Square Error-Decision Feedback Equalizer (MMSE-DFE) [2] which is one of the most successful equalizers for the data packet transmission, normalized LMS-DFE (N-LMS-DFE) [3], variable step size (VSS) LMS-DFE [4], fuzzy LMS-DFE [5,6] and RLS-DFE [7]. The obtained simulation results using HIPERLAN/1 standards have demonstrated that the proposed LMS-DFE algorithm based on fuzzy logic has considerably better performance than others.

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References

  1. Baltac1, Y., Kaya, I., Nix, A.R.: Implementation of a HIPERLAN/1 Compatible CMF-DFE Equalizer. VTC 2000. In: IEEE 51st Vehicular Technology Conference Proceedings, Tokyo, pp. 1884–1888 (2000)

    Google Scholar 

  2. Klein, A.: Zero Forcing and Minimum Mean-Square-Error Equalization for Multi-user Detection in Code Division Multiple-Access Channels. IEEE Transactions on Vehicular Technology 45, 276–286 (1997)

    Article  Google Scholar 

  3. Hayes, M.H.: Statistical Digital Signal Processing and Modeling. John Wiley & Sons, Chichester (1996)

    Google Scholar 

  4. Kwong, R.H., Johnston, E.W.: A Variable Step Size LMS Algorithm. IEEE Transactions on Signal Processing 40, 1633–1642 (1992)

    Article  MATH  Google Scholar 

  5. Ryu, G.T., Kim, D.W., Choe, J.G., Kim, D.S, Bae, H.D.: Adaptive System Identification Using Fuzzy Inference Based LMS Algorithm. In: IEEE 3rd International Conference on Signal Processing, vol. 1, pp. 587–590 (1996)

    Google Scholar 

  6. Gan, W.S.: Designing a Fuzzy Step Size LMS Algorithm. IEE Proceedings Visual Image Signal Processing 144, 261–266 (1997)

    Article  Google Scholar 

  7. Proakis, J.G.: Digital Communications. McGraw-Hill Co., Singapore( (2001)

    Google Scholar 

  8. Sklar, B.: Rayleigh Fading Channels in Mobile Digital Communication Systems, pp. 90–100. IEEE Computer Society Press, Los Alamitos (1997)

    Google Scholar 

  9. Haddad, M.I., Khasawneh, M.A.: A Modified Variable Degree Variable Step Size LMS Algorithm. In: Proceedings of IEEE Midwest Symposium on Circuit and Systems, pp. 506–509. IEEE Computer Society Press, Los Alamitos (1998)

    Google Scholar 

  10. Park, D.J.: New Performance Function and Variable Step Size LMS Algorithm Derived by Karni and Zeng. IEE Electronics Letters 27, 2182–2183 (1991)

    Article  Google Scholar 

  11. Haris, R.W., Chabries, D.M., Bishop, F.A.: A Variable Step (VS) Adaptive Filter Algorithm. IEEE Transactions on Acoustics, Speech and Signal Processing 34, 309–316 (1986)

    Article  Google Scholar 

  12. Özen A.: A Fuzzy Based Outer Loop Controller Design Improving the Performance and Convergence Speed in High Data Rate Digital Communication Receivers. Ph.D. Thesis, Graduate School of Natural and Applied Science, KTU, Trabzon (2005)

    Google Scholar 

  13. Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)

    Article  MATH  Google Scholar 

  14. Mamdani, E.H.: Application of Fuzzy Algorithms for Control of Simple Dynamic Plant. Proc. IEE 12, 1585–1588 (1974)

    Google Scholar 

  15. Su, P.V., Tuan, L.M., Kim, J., Yoon, G.: A New Fuzzy Logic Application to Variable Step Size LMS Algorithm for Adaptive Antennas in CDMA Systems. In: IEEE 3rd International Conference on Microwave and Millimeter Wave Technology Proceedings, pp. 685–688 (2002)

    Google Scholar 

  16. Eminoğlu, İ., Altaş, İ.H.: The Effects of the Number of Rules on the Output of a Fuzzy Logic Controller Employed to a PMDC Motor. Computer & Electrical Engineering 24, 245–261 (1998)

    Article  Google Scholar 

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De-Shuang Huang Laurent Heutte Marco Loog

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© 2007 Springer-Verlag Berlin Heidelberg

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Özen, A., Kaya, İ., Soysal, B. (2007). Design of a Fuzzy Based Outer Loop Controller for Improving the Training Performance of LMS Algorithm. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques. ICIC 2007. Communications in Computer and Information Science, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74282-1_118

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  • DOI: https://doi.org/10.1007/978-3-540-74282-1_118

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74281-4

  • Online ISBN: 978-3-540-74282-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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