Advertisement

Multilevel modulation codes for rayleigh fading channels

  • Lin Zhang
  • Branka Vucetic
Submitted Contributions
Part of the Lecture Notes in Computer Science book series (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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [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. [12]
    Zhang, L. and Vucetic, B., ‘Error probability of multi-stage decoding for block modulation codes on fading channels', in preparation.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Lin Zhang
    • 1
  • Branka Vucetic
    • 1
  1. 1.Sydney University Electrical EngineeringAustralia

Personalised recommendations