Novel constructions of improved square complex orthogonal designs for eight transmit antennas

Le Chung Tran, Tadeusz A. Wysocki, Jennifer Seberry, Alfred Mertins, Sarah Spence Adams

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


Constructions of square, maximum rate complex orthogonal space-time block codes (CO STBCs) are well known, however codes constructed via the known methods include numerous zeros, which impede their practical implementation. By modifying the Williamson and Wallis-Whiteman arrays to apply to complex matrices, we propose two methods of construction of square, order-4n CO STBCs from square, order-n codes which satisfy certain properties. Applying the proposed methods, we construct square, maximum rate, order-8 CO STBCs with no zeros, such that the transmitted symbols are equally dispersed through transmit antennas. Those codes, referred to as the improved square CO STBCs, have the advantages that the power is equally transmitted via each transmit antenna during every symbol time slot and that a lower peak-to-average power ratio (PAPR) is required to achieve the same bit error rates as the conventional CO STBCs with zeros.

Original languageEnglish (US)
Pages (from-to)4439-4448
Number of pages10
JournalIEEE Transactions on Information Theory
Issue number10
StatePublished - 2009


  • Amicable orthogonal designs (AOD)
  • Complex orthogonal space-time block codes (CO STBCs)
  • Multiple-input multiple-output (MIMO)
  • Orthogonal design
  • Peak-to-average power ratio (PAPR)
  • Space-time block code (STBC)

ASJC Scopus subject areas

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


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