Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(<italic>p</italic>)
Orthogonal sequences can be assigned to a regular tessellation of hexagonal cells, typical for synchronised code-division multiple-access (S-CDMA) systems. The sequences within any cell should both be orthogonal in the adjacent cells and require a sufficient number of users in each cell. However, fo...
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9915396/ |
| _version_ | 1811182560880885760 |
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| author | Chunlei Xie Xiaofang Wang Liupiao Zhang |
| author_facet | Chunlei Xie Xiaofang Wang Liupiao Zhang |
| author_sort | Chunlei Xie |
| collection | DOAJ |
| description | Orthogonal sequences can be assigned to a regular tessellation of hexagonal cells, typical for synchronised code-division multiple-access (S-CDMA) systems. The sequences within any cell should both be orthogonal in the adjacent cells and require a sufficient number of users in each cell. However, for binary sequences, the capacity of communication system is limited. So, a new family of non-binary orthogonal sequences is constructed, which has more sequences per cell than binary sequences in the network. Next, an efficient assignment of these orthogonal sequence sets to a regular tessellation of hexagonal cells is given, and also the sequence sets have large re-use distance. Finally, based on above the construction, we construct a family of orthogonal sequences with zero correlation zone (ZCZ) property which can reduce the interference among users in a multi-path environment. The constructed ZCZ sequences can be applied to the quasi-synchronous CDMA (QS-CMDA) spread spectrum systems. And the assignment of sequences has the same re-use distance. |
| first_indexed | 2024-04-11T09:33:51Z |
| format | Article |
| id | doaj.art-e574266b3d9143efb2839b12b549c943 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-11T09:33:51Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-e574266b3d9143efb2839b12b549c9432022-12-22T04:31:46ZengIEEEIEEE Access2169-35362022-01-011010794210794810.1109/ACCESS.2022.32132819915396Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(<italic>p</italic>)Chunlei Xie0Xiaofang Wang1https://orcid.org/0000-0002-8488-1559Liupiao Zhang2https://orcid.org/0000-0002-1206-7638School of Information Engineering, Chang’an University, Xi’an, ChinaCollege of Information Science and Technology, Shihezi University, Shihezi, ChinaCollege of Cyberspace Security, Dongguan University of Technology, Dongguan, ChinaOrthogonal sequences can be assigned to a regular tessellation of hexagonal cells, typical for synchronised code-division multiple-access (S-CDMA) systems. The sequences within any cell should both be orthogonal in the adjacent cells and require a sufficient number of users in each cell. However, for binary sequences, the capacity of communication system is limited. So, a new family of non-binary orthogonal sequences is constructed, which has more sequences per cell than binary sequences in the network. Next, an efficient assignment of these orthogonal sequence sets to a regular tessellation of hexagonal cells is given, and also the sequence sets have large re-use distance. Finally, based on above the construction, we construct a family of orthogonal sequences with zero correlation zone (ZCZ) property which can reduce the interference among users in a multi-path environment. The constructed ZCZ sequences can be applied to the quasi-synchronous CDMA (QS-CMDA) spread spectrum systems. And the assignment of sequences has the same re-use distance.https://ieeexplore.ieee.org/document/9915396/Orthogonal sequenceszero correlation zoneBoolean functionssemi-bent functions |
| spellingShingle | Chunlei Xie Xiaofang Wang Liupiao Zhang Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(<italic>p</italic>) IEEE Access Orthogonal sequences zero correlation zone Boolean functions semi-bent functions |
| title | Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(<italic>p</italic>) |
| title_full | Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(<italic>p</italic>) |
| title_fullStr | Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(<italic>p</italic>) |
| title_full_unstemmed | Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(<italic>p</italic>) |
| title_short | Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(<italic>p</italic>) |
| title_sort | construction and assignment of orthogonal sequences and zero correlation zone sequences over gf italic p italic |
| topic | Orthogonal sequences zero correlation zone Boolean functions semi-bent functions |
| url | https://ieeexplore.ieee.org/document/9915396/ |
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