New construction method of periodic quasi-complementary sequence set
To solve the problem that the number of sequences in the complete complementary sequence set is limited, periodic quasi-complementary sequence set was constructed.Firstly, based on the circular Florentine array, the near optimal periodic quasi-complementary sequence set was constructed by using the...
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| Format: | Article |
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Editorial Department of Journal on Communications
2023-05-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2023100/ |
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| _version_ | 1841539205291835392 |
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| author | Xiaoyu CHEN Chengrui WANG Fan LIU |
| author_facet | Xiaoyu CHEN Chengrui WANG Fan LIU |
| author_sort | Xiaoyu CHEN |
| collection | DOAJ |
| description | To solve the problem that the number of sequences in the complete complementary sequence set is limited, periodic quasi-complementary sequence set was constructed.Firstly, based on the circular Florentine array, the near optimal periodic quasi-complementary sequence set was constructed by using the mapping function on <inline-formula><!--math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi>ℤ</mi> <mi>N</mi> </msub> </math--></inline-formula> .The obtained periodic quasi-complementary sequence sets had new subsequence lengths.Secondly, based on the one-coincidence frequency-hopping sequence set, the asymptotically optimal periodic quasi-complementary sequence set was constructed by defining the mapping function from <inline-formula><!--math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi>ℤ</mi> <mi>q</mi> </msub> </math--></inline-formula> to <inline-formula><!--math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi>ℤ</mi> <mrow> <mi>q</mi><mo stretchy='false'>(</mo><mi>q</mi><mo>−</mo><mn>1</mn><mo stretchy='false'>)</mo></mrow> </msub> </math--></inline-formula>.The comparison results show that compared with the existing periodic quasi-complementary sequence sets, the proposed method contains more sequences with the same subsequence length, and can support more users in multi-carrier communication system. |
| format | Article |
| id | doaj-art-762614b47d404166ab5133ef3a08a09b |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2023-05-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-762614b47d404166ab5133ef3a08a09b2025-01-14T07:23:57ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2023-05-014420621259838555New construction method of periodic quasi-complementary sequence setXiaoyu CHENChengrui WANGFan LIUTo solve the problem that the number of sequences in the complete complementary sequence set is limited, periodic quasi-complementary sequence set was constructed.Firstly, based on the circular Florentine array, the near optimal periodic quasi-complementary sequence set was constructed by using the mapping function on <inline-formula><!--math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi>ℤ</mi> <mi>N</mi> </msub> </math--></inline-formula> .The obtained periodic quasi-complementary sequence sets had new subsequence lengths.Secondly, based on the one-coincidence frequency-hopping sequence set, the asymptotically optimal periodic quasi-complementary sequence set was constructed by defining the mapping function from <inline-formula><!--math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi>ℤ</mi> <mi>q</mi> </msub> </math--></inline-formula> to <inline-formula><!--math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi>ℤ</mi> <mrow> <mi>q</mi><mo stretchy='false'>(</mo><mi>q</mi><mo>−</mo><mn>1</mn><mo stretchy='false'>)</mo></mrow> </msub> </math--></inline-formula>.The comparison results show that compared with the existing periodic quasi-complementary sequence sets, the proposed method contains more sequences with the same subsequence length, and can support more users in multi-carrier communication system.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2023100/quasi-complementarynear optimalasymptotically optimalcircular Florentine arrayone-coincidence fre-quency-hopping |
| spellingShingle | Xiaoyu CHEN Chengrui WANG Fan LIU New construction method of periodic quasi-complementary sequence set Tongxin xuebao quasi-complementary near optimal asymptotically optimal circular Florentine array one-coincidence fre-quency-hopping |
| title | New construction method of periodic quasi-complementary sequence set |
| title_full | New construction method of periodic quasi-complementary sequence set |
| title_fullStr | New construction method of periodic quasi-complementary sequence set |
| title_full_unstemmed | New construction method of periodic quasi-complementary sequence set |
| title_short | New construction method of periodic quasi-complementary sequence set |
| title_sort | new construction method of periodic quasi complementary sequence set |
| topic | quasi-complementary near optimal asymptotically optimal circular Florentine array one-coincidence fre-quency-hopping |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2023100/ |
| work_keys_str_mv | AT xiaoyuchen newconstructionmethodofperiodicquasicomplementarysequenceset AT chengruiwang newconstructionmethodofperiodicquasicomplementarysequenceset AT fanliu newconstructionmethodofperiodicquasicomplementarysequenceset |