Constructions of perfect Gaussian integer sequences of odd prime length
Constructions of perfect Gaussian integer sequences (PGIS) based on the cyclotomic classes were proposed.The PGIS with degree 3 and 5 were constructed respectively from the cyclotomic classes of order 2 and 4.The presented sequences with odd prime length have ideal autocorrelations.The methods solve...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Editorial Department of Journal on Communications
2018-11-01
|
| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018230/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841539423407177728 |
|---|---|
| author | Yubo LI Miao CHEN Tao LIU Ying ZHANG |
| author_facet | Yubo LI Miao CHEN Tao LIU Ying ZHANG |
| author_sort | Yubo LI |
| collection | DOAJ |
| description | Constructions of perfect Gaussian integer sequences (PGIS) based on the cyclotomic classes were proposed.The PGIS with degree 3 and 5 were constructed respectively from the cyclotomic classes of order 2 and 4.The presented sequences with odd prime length have ideal autocorrelations.The methods solved the problem that the traditional constructions of PGIS from the cyclotomic classes have high computational complexity.As a result,this kind of sequences will be useful in the applications of wireless communications. |
| format | Article |
| id | doaj-art-5e1a779a353644f0810bcfede0afea5a |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2018-11-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-5e1a779a353644f0810bcfede0afea5a2025-01-14T07:15:51ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2018-11-013919019759722042Constructions of perfect Gaussian integer sequences of odd prime lengthYubo LIMiao CHENTao LIUYing ZHANGConstructions of perfect Gaussian integer sequences (PGIS) based on the cyclotomic classes were proposed.The PGIS with degree 3 and 5 were constructed respectively from the cyclotomic classes of order 2 and 4.The presented sequences with odd prime length have ideal autocorrelations.The methods solved the problem that the traditional constructions of PGIS from the cyclotomic classes have high computational complexity.As a result,this kind of sequences will be useful in the applications of wireless communications.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018230/perfect Gaussian integer sequencepseudo-random sequencecyclotomic classesdiscrete Fourier transform |
| spellingShingle | Yubo LI Miao CHEN Tao LIU Ying ZHANG Constructions of perfect Gaussian integer sequences of odd prime length Tongxin xuebao perfect Gaussian integer sequence pseudo-random sequence cyclotomic classes discrete Fourier transform |
| title | Constructions of perfect Gaussian integer sequences of odd prime length |
| title_full | Constructions of perfect Gaussian integer sequences of odd prime length |
| title_fullStr | Constructions of perfect Gaussian integer sequences of odd prime length |
| title_full_unstemmed | Constructions of perfect Gaussian integer sequences of odd prime length |
| title_short | Constructions of perfect Gaussian integer sequences of odd prime length |
| title_sort | constructions of perfect gaussian integer sequences of odd prime length |
| topic | perfect Gaussian integer sequence pseudo-random sequence cyclotomic classes discrete Fourier transform |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018230/ |
| work_keys_str_mv | AT yuboli constructionsofperfectgaussianintegersequencesofoddprimelength AT miaochen constructionsofperfectgaussianintegersequencesofoddprimelength AT taoliu constructionsofperfectgaussianintegersequencesofoddprimelength AT yingzhang constructionsofperfectgaussianintegersequencesofoddprimelength |