The Theory of Quaternion Orthogonal Designs

Authors

Jennifer Seberry, University of Wollongong
Ken Finlayson, University of Wollongong
Sarah Spence Adams, Franklin W. Olin College of EngineeringFollow
Tadeusz Wysocki, University of Nebraska-LincolnFollow
Tianbing Xia, University of Wollongong
Beata Joanna Wysocki, University of WollongongFollow

Date of this Version

2008

Comments

Published in IEEE Transactions on Signal Processing, Vol. 56, No. 1, January 2008. © 2008 IEEE.

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.