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

  • Authors:
  • Le Chung Tran;Tadeusz A. Wysocki;Jennifer Seberry;Alfred Mertins;Sarah Spence Adams

  • Affiliations:
  • University of Wollongong, Wollongong, NSW, Australia;University of Nebraska, Lincoln, NE;University of Wollongong, Wollongong, NSW, Australia;Institute for Signal Processing, University of Luebeck, Luebeck, Germany;Franklin W. Olin College of Engineering, Neehham, MA

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2009

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Abstract

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.