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International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes

AAECC 1991: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes pp 477–488Cite as

Multilevel modulation codes for rayleigh fading channels

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 539))

Abstract

In this paper, new multilevel modulation codes with good error rate performance on the Rayleigh fading channel are presented. It has been demonstrated that the error performance of a multilevel block code is dominated by the minimum Hamming distance of the component codes when ideal interleaving is applied. BCH codes are often used in constructing multilevel codes due to their good Hamming distance properties. Since the error performances for various levels of the MPSK signals are different, component codes have to be chosen appropriately so that their error correcting capabilities suit the required error protection for each level.

All the codes reported in this paper are 8-PSK modulation codes. The bit error rate performances of these codes obtained by Monte Carlo simulations are compared to those of Ungerboeck codes and the existing block modulation codes. They show a large bit error rate improvement at the same bandwidth efficiency and the same decoding complexity. Multistage soft decision decoding based on Viterbi algorithm is employed since it gives more options in code construction. Comparison results with the maximum likelihood Viterbi decoding based on full code trellis show only a slight degradation of multistage decoding.

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References

  1. Nicolas, J.J. and Vucetic B., ‘Performance of MPSK Trellis Codes over Nonlinear Fading Mobile Satellite Channels, International Conference on Communication Systems', Conference Proceedings Singapore ICCS'88, pp.695–699, Singapore, November, 1988.

    Google Scholar 

  2. Imai, H. and Hirakawa, S.: ‘A new multiple coding method using error-correcting codes', IEEE Trans. Inf. Theory, Vol. IT-23, May 1977, pp. 371–377.

    Google Scholar 

  3. Sayeigh, S., ‘A Class of Optimum Block codes in Signal Space', IEEE Trans. on Com., Vol. COM-34, No.10, Oct. 1986. pp.1043–1045.

    Google Scholar 

  4. Kasami, T., Takata, T., Fujiwara, T., and Lin, S., ‘On multilevel block modulation codes', to be published in IEEE Trans. Inf. Theory.

    Google Scholar 

  5. Takata, T., Ujita, S., Fujiwara, T., Kasami, T. and Lin, S., ‘Linear structure and error performance analysis of block PSK modulation codes', Tran. of IEICE of Japan, Vol J73-A, No.2, Feb. 1990.

    Google Scholar 

  6. Vucetic, B., and Lin, S., ‘Block Coded Modulation and Concatenated Coding Schemes for Error Control on Fading Channels', AAECC'7, Toulouse, France, June 1989, Conference Proceedings, pp. 116–120.

    Google Scholar 

  7. Zhang, L. and Vucetic, B., ‘Bandwidth Efficient Block Codes on AWGN and Fading Channels', Electronics Letters, IEE, 1st March 1990 Vol.26 No.5, pp.301–303.

    Google Scholar 

  8. Vucetic, B., Zhang, L. and Khachatrian, G., ‘Construction of block modulation codes over rings for fading channels', Electronics Letters, IEE, 2nd November 1990 Vol.26 No.24, pp.2020–2022.

    Google Scholar 

  9. Ujita, S., Takata, T., Fujiwara, T., Kasami, T. and Lin, S., ‘A multistage decoding for block modulation codes and its error probability analysis', the Proceedings of the 12th Symp. on Inf. Theory and its applications, Inuyama, Japan, December 6–9, 1989.

    Google Scholar 

  10. Wolf, J., ‘Efficient Maximum Likelihood decoding of Linear Block Codes Using a Trellis', IEEE Trans. Inform. Theory, Vol. IT-24, Jan. 1978, pp. 76–80.

    Google Scholar 

  11. Ungerboeck, G., ‘Trellis-coded modulation with redundant signal set, part II: state of art', IEEE Com. Magazine, Vol.25, No.2, pp.12–21, Feb 1987.

    Google Scholar 

  12. Zhang, L. and Vucetic, B., ‘Error probability of multi-stage decoding for block modulation codes on fading channels', in preparation.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Sydney University Electrical Engineering, 2006, NSW, Australia

    Lin Zhang & Branka Vucetic

Authors
  1. Lin Zhang
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  2. Branka Vucetic
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Editor information

Harold F. Mattson Teo Mora T. R. N. Rao

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© 1991 Springer-Verlag Berlin Heidelberg

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Zhang, L., Vucetic, B. (1991). Multilevel modulation codes for rayleigh fading channels. In: Mattson, H.F., Mora, T., Rao, T.R.N. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1991. Lecture Notes in Computer Science, vol 539. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54522-0_135

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  • DOI: https://doi.org/10.1007/3-540-54522-0_135

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54522-4

  • Online ISBN: 978-3-540-38436-6

  • eBook Packages: Springer Book Archive

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