Real-domain decoder for full-rate full-diversity STBC with multidimensional constellations

Heunchul Lee, Jungho Cho, Jong Kyu Kim, Inkyu Lee

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


In this letter, we present a new maximum likelihood (ML) decoding algorithm for space time block codes (STBCs) that employ multidimensional constellations. We start with a lattice representation for STBCs which transforms complex channel models into real matrix equations. Based on the lattice representation, we propose a new decoding algorithm for quasiorthogonal STBCs (QO-STBC) which allows simpleML decoding with performance identical to the conventional ML decoder. Multidimensional rotated constellations are constructed for the QO-STBCs to achieve full diversity. As a consequence, for quasi-orthogonal designs with an arbitrary number of transmit antennas N (N ≥ 4), the proposed decoding scheme achieves full rate and full diversity while reducing the decoding complexity from O(McN/2) to O(McN/4) in a Mc-QAM constellation.

Original languageEnglish
Pages (from-to)17-21
Number of pages5
JournalIEEE Transactions on Communications
Issue number1
Publication statusPublished - 2009


  • Diversity methods
  • Maximum likelihood decoding (MLD)
  • Multidimensional rotated constellations
  • Space-time block codes (STBC)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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