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Construction of amicable orthogonal designs of quaternions

Journal Article


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Abstract


  • This paper introduces some construction methods for amicable orthogonal designs over the real and quaternion domain which have not been explored for code design before. The proposed construction methods generate a large number of amicable orthogonal designs of quaternions. It is also shown that amicable orthogonal designs of quaternions can be used to construct restricted quaternion orthogonal designs which can be applied as orthogonal space-time-polarization block codes for wireless communications.

UOW Authors


  •   Zhao, Ying (external author)
  •   Seberry, Jennifer
  •   Xia, Tianbing
  •   Wysocki, Beata J. (external author)
  •   Wysocki, Tadeusz A. (external author)

Publication Date


  • 2009

Citation


  • Zhao, Y., Seberry, J. R., Xia, T., Wysocki, B. J. & Wysocki, T. (2009). Construction of amicable orthogonal designs of quaternions. Australasian Journal of Combinatorics, 44 (June), 19-35.

Scopus Eid


  • 2-s2.0-67449142686

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=10554&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/3218

Number Of Pages


  • 16

Start Page


  • 19

End Page


  • 35

Volume


  • 44

Issue


  • June

Abstract


  • This paper introduces some construction methods for amicable orthogonal designs over the real and quaternion domain which have not been explored for code design before. The proposed construction methods generate a large number of amicable orthogonal designs of quaternions. It is also shown that amicable orthogonal designs of quaternions can be used to construct restricted quaternion orthogonal designs which can be applied as orthogonal space-time-polarization block codes for wireless communications.

UOW Authors


  •   Zhao, Ying (external author)
  •   Seberry, Jennifer
  •   Xia, Tianbing
  •   Wysocki, Beata J. (external author)
  •   Wysocki, Tadeusz A. (external author)

Publication Date


  • 2009

Citation


  • Zhao, Y., Seberry, J. R., Xia, T., Wysocki, B. J. & Wysocki, T. (2009). Construction of amicable orthogonal designs of quaternions. Australasian Journal of Combinatorics, 44 (June), 19-35.

Scopus Eid


  • 2-s2.0-67449142686

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=10554&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/3218

Number Of Pages


  • 16

Start Page


  • 19

End Page


  • 35

Volume


  • 44

Issue


  • June