Low-Hit-Zone Wide Gap Frequency Hopping Sequence Sets With Optimal Average Hamming Correlation
In frequency hopping (FH) sequence design, the wide gap is an important performance indicator. In this paper, the average Hamming correlation of wide gap FH sequence (WG-FH sequence) sets with low hit zone, which has not yet been reported previously, is studied. A lower bound on the average Hamming...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9527214/ |
| _version_ | 1818479766033924096 |
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| author | Xing Liu Shaofang Hong Qi Zeng Limengnan Zhou |
| author_facet | Xing Liu Shaofang Hong Qi Zeng Limengnan Zhou |
| author_sort | Xing Liu |
| collection | DOAJ |
| description | In frequency hopping (FH) sequence design, the wide gap is an important performance indicator. In this paper, the average Hamming correlation of wide gap FH sequence (WG-FH sequence) sets with low hit zone, which has not yet been reported previously, is studied. A lower bound on the average Hamming auto-correlation and the average Hamming cross-correlation of low-hit-zone FH sequence sets is firstly derived. The new lower bound includes the bound for conventional FH sequence sets derived by Peng <italic>et al.</italic> as a special case. Then a construction of WG-FH sequence sets with multiple low hit zones is presented, which are optimal by the new bound for these low hit zones. Finally, another class of optimal WG-FH sequence sets with multiple low hit zones is presented, which have larger wide gap. |
| first_indexed | 2024-12-10T11:15:05Z |
| format | Article |
| id | doaj.art-eb7cc4205bd544cbbe3fd4cd7f4da51a |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-10T11:15:05Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-eb7cc4205bd544cbbe3fd4cd7f4da51a2022-12-22T01:51:14ZengIEEEIEEE Access2169-35362021-01-01912260012260610.1109/ACCESS.2021.31098179527214Low-Hit-Zone Wide Gap Frequency Hopping Sequence Sets With Optimal Average Hamming CorrelationXing Liu0https://orcid.org/0000-0003-0814-8192Shaofang Hong1Qi Zeng2https://orcid.org/0000-0003-4882-5530Limengnan Zhou3https://orcid.org/0000-0001-7466-0907College of Electrical Engineering, Sichuan University, Chengdu, ChinaMathematical College, Sichuan University, Chengdu, ChinaCollege of Electrical Engineering, Sichuan University, Chengdu, ChinaSchool of Electronic and Information Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan, ChinaIn frequency hopping (FH) sequence design, the wide gap is an important performance indicator. In this paper, the average Hamming correlation of wide gap FH sequence (WG-FH sequence) sets with low hit zone, which has not yet been reported previously, is studied. A lower bound on the average Hamming auto-correlation and the average Hamming cross-correlation of low-hit-zone FH sequence sets is firstly derived. The new lower bound includes the bound for conventional FH sequence sets derived by Peng <italic>et al.</italic> as a special case. Then a construction of WG-FH sequence sets with multiple low hit zones is presented, which are optimal by the new bound for these low hit zones. Finally, another class of optimal WG-FH sequence sets with multiple low hit zones is presented, which have larger wide gap.https://ieeexplore.ieee.org/document/9527214/Frequency hopping sequenceslow hit zoneaverage Hamming correlationwide gapquasi-synchronous frequency hopping systems |
| spellingShingle | Xing Liu Shaofang Hong Qi Zeng Limengnan Zhou Low-Hit-Zone Wide Gap Frequency Hopping Sequence Sets With Optimal Average Hamming Correlation IEEE Access Frequency hopping sequences low hit zone average Hamming correlation wide gap quasi-synchronous frequency hopping systems |
| title | Low-Hit-Zone Wide Gap Frequency Hopping Sequence Sets With Optimal Average Hamming Correlation |
| title_full | Low-Hit-Zone Wide Gap Frequency Hopping Sequence Sets With Optimal Average Hamming Correlation |
| title_fullStr | Low-Hit-Zone Wide Gap Frequency Hopping Sequence Sets With Optimal Average Hamming Correlation |
| title_full_unstemmed | Low-Hit-Zone Wide Gap Frequency Hopping Sequence Sets With Optimal Average Hamming Correlation |
| title_short | Low-Hit-Zone Wide Gap Frequency Hopping Sequence Sets With Optimal Average Hamming Correlation |
| title_sort | low hit zone wide gap frequency hopping sequence sets with optimal average hamming correlation |
| topic | Frequency hopping sequences low hit zone average Hamming correlation wide gap quasi-synchronous frequency hopping systems |
| url | https://ieeexplore.ieee.org/document/9527214/ |
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