The Theory of Quaternion Orthogonal Designs

Authors

Jennifer Seberry, University of WollongongFollow
K. Finlayson, University of WollongongFollow
S. Spense Adams, Olin College of Engineering, USA
Tadeusz A. Wysocki, University of WollongongFollow
Tianbing Xia, University of WollongongFollow
Beata J. Wysocki, University of WollongongFollow

RIS ID

22021

Publication Details

This article was originally published as Seberry, J, Finlayson, K, Spense Adams, S, Wysocki, TA, Xia, T and Wysocki, BJ, The Theory of Quaternion Orthogonal Designs, IEEE Transactions on Signal Processing, 56(1), 2008, 256-265. Copyright for the article is owned by IEEE. The original IEEE published article is available here.

Abstract

Over the past several years, there has been a renewed interest in complex orthogonal designs for their application in space-time block coding. Motivated by the success of this application, this paper generalizes the definition of complex orthogonal designs by introducing orthogonal designs over the quaternion domain. This paper builds a theory of these novel quaternion orthogonal designs, offers examples, and provides several construction techniques. These theoretical results, along with the results of preliminary simulations, lay the foundation for developing applications of these designs as orthogonal space-time-polarization block codes.