Performance Bounds for Space-Time Trellis Codes

Andrej Stefanov, Tolga M. Duman

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


In this paper, we derive the union bound for space-time trellis codes over quasi-static fading channels. We first observe that the standard approach for evaluating the union bound yields very loose, in fact divergent, bounds over the quasi-static fading channel. We then develop a method for obtaining a tight bound on the error probability. We derive the union bound by performing expurgation of the standard union bound. In addition, we limit the conditional union bound before averaging over the fading process. We demonstrate that this approach provides a tight bound on the error probability of space-time codes. The bounds can be used for the case when the fading coefficients among different transmit/receive antenna pairs are correlated as well. We present several examples of the bounds to illustrate their usefulness.

Original languageEnglish (US)
Pages (from-to)2134-2140+2325
JournalIEEE Transactions on Information Theory
Issue number9
StatePublished - Sep 2003


  • Fading channels
  • Multiple input multiple output (MIMO)
  • Performance bounds
  • Space-time codes

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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