Wireless Personal Communications

, Volume 16, Issue 3, pp 245–257 | Cite as

A Combined Interleaving Technique for Trellis Coded MPSK Systems in Rayleigh Fading Channels

  • Ersin Öztürk
  • Ümit Aygölü


Freedom of mobility is the latesttrend in the evolution of digital communicationsystems. In these systems bandwidth and powerconstraints limit the mobility of the users. TCM(trellis coded modulation) is a combined coding andmodulation scheme which increases the productivity ofa digital communication system without increasing thetransmitted power or the required bandwidth. A mobilecommunication channel is affected from noise andfading because of the multipath propagation. On aRayleigh fading channel, coding should be used withtechniques which uncorrelate the received energy ofeach consecutive coded symbol. Interleaving is one ofthese techniques and used to make burst errors intorandom errors which can be corrected by errorcorrecting codes. In this paper, the trellis codingsystem which combines a regular convolutional encoder,bit interleaver, coordinate interleaver, and anappropriate decoder is considered. The analytical biterror probability upper bounds are derived for the8-PSK TCM system whose diversity is increased by usinga regular 2/3 rate convolutional code followed bythree bit interleavers and a 8-PSK signal mapperfollowed by two coordinate interleavers. Theanalytical and simulation results show that toincrease the diversity of the trellis coded M-PSKsystems in Rayleigh fading channels is the primary keyfor reliable transmission of high quality voice anddigital data.

fading channels interleaving trellis codedmodulation diversity suboptimal decoder 


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  1. 1.
    J.L. Massey, “Coding and Modulation in Digital Communications”, in Proc. 1974 Int. Zurich Seminar Digital Commun, Zurich, Switzerland, Mar. 1974, pp. E2(1)-(4).Google Scholar
  2. 2.
    G. Ungerboeck, “Channel Coding with Multilevel/Phase Signals”, IEEE Trans. on Infor. Theory, Vol. IT-28,No. 1, pp. 55-67, 1982.Google Scholar
  3. 3.
    G. Ungerboeck, “Trellis-Coded Modulation with Redundant Signal Sets Part I: Introduction, Part II: State of the Art”, IEEE Commun Mag., Vol. 25,No. 2, pp. 5-21, 1987.Google Scholar
  4. 4.
    E. Biglieri, D. Divsalar, P.J. McLane and M.K. Simon, Introduction to Trellis Coded Modulation with Applications, Macmillan Publishing Company: New York, 1991.Google Scholar
  5. 5.
    D. Divsalar and M.K. Simon, “The Design of Trellis Coded MPSK for Fading Channels: Performance Criteria”, IEEE Trans. on Commun., Vol. 36,No. 9, pp. 1004-1011, 1988.Google Scholar
  6. 6.
    D. Divsalar and M.K. Simon, “The Design of Trellis Coded MPSK for Fading Channels: Set Partitioning for Optimum Code Design”, IEEE Trans. on Commun., Vol. 36,No. 9, pp. 1013-1021, 1988.Google Scholar
  7. 7.
    J.M. Wozencraft and I.M. Jacobs, Principles of Communication Engineering, J. Wiley: New York, 1965.Google Scholar
  8. 8.
    J. McGeehan and A. Bateman, “Phase Lock Transparent Tone-in Band (TTIB): A New Spectrum Configuration Particularly Suited to the Transmission of Data over SSB Mobile Radio Networks”, IEEE Trans. Commun., Vol. COM-32, pp. 81-87, 1984.Google Scholar
  9. 9.
    D. Divsalar and M.K. Simon, “Trellis Coded Modulation for 4800–9600 bits/s Transmission Over a Fading Mobile Satellite Channel”, IEEE Journal on Selected Areas in Commun., Vol. SAC-5,No. 2, pp. 162-175, 1987.Google Scholar
  10. 10.
    E. Zehavi, “8-PSK Trellis Codes for a Rayleigh Channel”, IEEE Trans. on Commun., Vol. 40,No. 5, pp. 873-884, 1992.Google Scholar
  11. 11.
    F. Gagnon and D. Haccoun, “Coding and Modulation Schemes for Slow Fading Channels”, IEEE Trans. on Commun., Vol. 43,No. 2/3/4, pp. 858-868, 1995.Google Scholar
  12. 12.
    D. Divsalar and M.K. Simon, “The Performance of Trellis Coded Multilevel DPSK on a Fading Mobile Satellite Channel”, in ICC'87, Seattle, WA, 7–10 June 1987, pp. 21.2.1-22.1.7.Google Scholar
  13. 13.
    E. Zehavi and J.K. Wolf, “On The Performance Evaluation of Trellis Codes”, IEEE Trans. on Infor. Theory, Vol. IT-33,No. 2, pp. 196-202, 1987.Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Ersin Öztürk
    • 1
  • Ümit Aygölü
    • 2
  1. 1.NETAŞ, AlemdağIstanbulTurkey
  2. 2.Faculty of Electrical-Electronics Eng.Istanbul Technical UniversityMaslak, İstanbulTurkey

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