Asymptotic performance analysis of a TCM system over fading multiple-access channel

  • Authors:

  • Felix Taubin

  • Affiliations:

  • St.-Petersburg State University on Aerospace Instrumentation, St.-Petersburg, Russia

  • Venue:
  • NEW2AN'06 Proceedings of the 6th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking
  • Year:
  • 2006

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Abstract

Trellis coded modulation (TCM) with maximum likelihood (ML) decoding for multiple-access transmission over Rayleigh fading channel is considered. An upper bound for the bit-error rate is derived by considering a supertrellis, i.e. the combination of the user's trellis codes. This upper bound leads to the definition of design criteria for the selectionof preferable user's codes. It is shown also that at high signal-to-noise ratio, the logarithm of the bit error probability goes to zero with the same slope as for the single-user transmission. The asymptotic energy loss due to other-users interference is completely determined by the factor that accounts for an increase the number of nearest (in terms of a minimum distance) neighbors in the supertrellis with respect to the code trellis of specific user.