Orthogonal design of unitary constellations for uncoded and trellis-coded noncoherent space-time systems

Wanlun Zhao, Geert Leus, Georgios B. Giannakis

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62 Scopus citations


We construct unitary noncoherent space-time constellations, which can be considered as a concatenation of a training block with an orthogonal design. With a simple construction, our constellations are easy to design, enjoy full antenna diversity, allow for a simplified maximum-likelihood (ML) detector, and achieve error performance comparable to existing designs that rely on computer search. To exploit the constellation structures and improve coding gains, we further pursue a trellis-coded modulation (TCM) approach. Based on the sequence pairwise error analysis, we identify two simple parameters to quantify the asymptotic error performance, which enables us to compare among different TCM schemes or uncoded alternatives.

Original languageEnglish (US)
Pages (from-to)1319-1327
Number of pages9
JournalIEEE Transactions on Information Theory
Issue number6
StatePublished - Jun 2004

Bibliographical note

Funding Information:
Manuscript received March 18, 2003; revised January 9, 2004. This work was supported by the ARO/CTA under Grant DAAD19-01-2-0011. The material in this correspondence was presented in part at the International Conference on Communications (ICC), Anchorage, AK, May 2003.

Copyright 2008 Elsevier B.V., All rights reserved.


  • Fading channel
  • Noncoherent
  • Performance analysis
  • Space-time (ST)
  • Trellis-coded modulation (TCM)


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