Balanced ternary and quaternary sequence pairs of odd period with three-level correlation

Sequence pairs with good correlation have wide applications in communication systems. In this paper, ternary and quaternary sequence pairs of odd period with three-level correlation are constructed based on cyclotomy. In our constructions, sequences are both balanced and the maximum out-of-phase cro...

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Bibliographic Details
Main Authors: Lianfei Luo, Wenping Ma
Format: Article
Language:English
Published: Elsevier 2019-08-01
Series:Kuwait Journal of Science
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Online Access:https://journalskuwait.org/kjs/index.php/KJS/article/view/5692
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Summary:Sequence pairs with good correlation have wide applications in communication systems. In this paper, ternary and quaternary sequence pairs of odd period with three-level correlation are constructed based on cyclotomy. In our constructions, sequences are both balanced and the maximum out-of-phase cross-correlation magnitude is shown to be √7 for ternary sequence pairs and to be √5 for quaternary sequence pairs, which are both better than the known sequence pairs of odd period with three-level correlation.
ISSN:2307-4108
2307-4116