Perfect sequences over the real quaternions

Oleg Kuznetsov

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

10 Citations (Scopus)

Abstract

Abstract In this paper, perfect sequences over real quaternions are considered. Definitions for the right and left periodic autocorrelation functions are given, and right and left perfect sequences introduced. It is shown that the right (left) perfection of any sequence implies the left (right) perfection, so concepts of right and left perfect sequences over the real quaternions are equivalent. Unitary transformations of the quaternion space H are then considered. Using the equivalence of the right and left perfection, it is proved that unitary transformations of the quaternion space `respect perfection of a sequence. Consequently, any symmetry transformation of the alphabet preserves perfection of a sequence.
Original languageEnglish
Title of host publicationSignal Design and its Applications in Communications
EditorsPingzhi Fan, Naoki Suehiro
Place of PublicationFukuoka Japan
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages8 - 11
Number of pages4
ISBN (Print)9781424443796
Publication statusPublished - 2009
EventInternational Workshop on Signal Design and its Applications in Communications (IWSDA) 2009 - Fukuoka Japan, Fukuoka Japan
Duration: 1 Jan 2009 → …

Conference

ConferenceInternational Workshop on Signal Design and its Applications in Communications (IWSDA) 2009
CityFukuoka Japan
Period1/01/09 → …

Cite this

Kuznetsov, O. (2009). Perfect sequences over the real quaternions. In P. Fan, & N. Suehiro (Eds.), Signal Design and its Applications in Communications (pp. 8 - 11). Fukuoka Japan: IEEE, Institute of Electrical and Electronics Engineers.
Kuznetsov, Oleg. / Perfect sequences over the real quaternions. Signal Design and its Applications in Communications. editor / Pingzhi Fan ; Naoki Suehiro. Fukuoka Japan : IEEE, Institute of Electrical and Electronics Engineers, 2009. pp. 8 - 11
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Kuznetsov, O 2009, Perfect sequences over the real quaternions. in P Fan & N Suehiro (eds), Signal Design and its Applications in Communications. IEEE, Institute of Electrical and Electronics Engineers, Fukuoka Japan, pp. 8 - 11, International Workshop on Signal Design and its Applications in Communications (IWSDA) 2009, Fukuoka Japan, 1/01/09.

Perfect sequences over the real quaternions. / Kuznetsov, Oleg.

Signal Design and its Applications in Communications. ed. / Pingzhi Fan; Naoki Suehiro. Fukuoka Japan : IEEE, Institute of Electrical and Electronics Engineers, 2009. p. 8 - 11.

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

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Kuznetsov O. Perfect sequences over the real quaternions. In Fan P, Suehiro N, editors, Signal Design and its Applications in Communications. Fukuoka Japan: IEEE, Institute of Electrical and Electronics Engineers. 2009. p. 8 - 11