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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| Format: | Article |
| Language: | English |
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Elsevier
2019-08-01
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| 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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| author | Lianfei Luo Wenping Ma |
| author_facet | Lianfei Luo Wenping Ma |
| author_sort | Lianfei Luo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ceee08344f33415a9d9c40a4efc85710 |
| institution | OA Journals |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2019-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-ceee08344f33415a9d9c40a4efc857102025-08-20T02:03:38ZengElsevierKuwait Journal of Science2307-41082307-41162019-08-01463Balanced ternary and quaternary sequence pairs of odd period with three-level correlationLianfei Luo0Wenping Ma1Xidian UniversityXidian UniversitySequence 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.https://journalskuwait.org/kjs/index.php/KJS/article/view/5692balanceternary sequence pairquaternary sequence pairthree-level correlationcyclotomy |
| spellingShingle | Lianfei Luo Wenping Ma Balanced ternary and quaternary sequence pairs of odd period with three-level correlation Kuwait Journal of Science balance ternary sequence pair quaternary sequence pair three-level correlation cyclotomy |
| title | Balanced ternary and quaternary sequence pairs of odd period with three-level correlation |
| title_full | Balanced ternary and quaternary sequence pairs of odd period with three-level correlation |
| title_fullStr | Balanced ternary and quaternary sequence pairs of odd period with three-level correlation |
| title_full_unstemmed | Balanced ternary and quaternary sequence pairs of odd period with three-level correlation |
| title_short | Balanced ternary and quaternary sequence pairs of odd period with three-level correlation |
| title_sort | balanced ternary and quaternary sequence pairs of odd period with three level correlation |
| topic | balance ternary sequence pair quaternary sequence pair three-level correlation cyclotomy |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/5692 |
| work_keys_str_mv | AT lianfeiluo balancedternaryandquaternarysequencepairsofoddperiodwiththreelevelcorrelation AT wenpingma balancedternaryandquaternarysequencepairsofoddperiodwiththreelevelcorrelation |