The theory of quaternion orthogonal designs

Jennifer Seberry; Ken Finlayson; Sarah Spence Adams; Tadeusz Antoni Wysocki; Tianbing Xia; Beata Joanna Wysocki

doi:10.1109/TSP.2007.906773

The theory of quaternion orthogonal designs

Jennifer Seberry, Ken Finlayson, Sarah Spence Adams, Tadeusz Antoni Wysocki, Tianbing Xia, Beata Joanna Wysocki

Research output: Contribution to journal › Article › peer-review

69 Scopus citations

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.

Original language	English (US)
Pages (from-to)	256-265
Number of pages	10
Journal	IEEE Transactions on Signal Processing
Volume	56
Issue number	1
DOIs	https://doi.org/10.1109/TSP.2007.906773
State	Published - Jan 2008

Keywords

Diversity methods
Mobile communications
Multiple-input multiple-output (MIMO) systems
Polarization

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/TSP.2007.906773

Cite this

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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.",

keywords = "Diversity methods, Mobile communications, Multiple-input multiple-output (MIMO) systems, Polarization",

author = "Jennifer Seberry and Ken Finlayson and Adams, {Sarah Spence} and Wysocki, {Tadeusz Antoni} and Tianbing Xia and Wysocki, {Beata Joanna}",

note = "Funding Information: Manuscript received April 20, 2006; revised June 16, 2007. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Michael Buehrer. This work was supported in part by NSA Grant H98230-07-1-0022 and an NSF-AWM Mentoring Travel Grant.",

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The theory of quaternion orthogonal designs

Abstract

Keywords

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