New construction method of periodic quasi-complementary sequence set

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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Bibliographic Details
Main Authors: Xiaoyu CHEN, Chengrui WANG, Fan LIU
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2023-05-01
Series:Tongxin xuebao
Subjects:
quasi-complementary
near optimal
asymptotically optimal
circular Florentine array
one-coincidence fre-quency-hopping
Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2023100/
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Summary: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>&#x2124;</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>&#x2124;</mi> <mi>q</mi> </msub> </math--></inline-formula> to <inline-formula><!--math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi>&#x2124;</mi> <mrow> <mi>q</mi><mo stretchy='false'>(</mo><mi>q</mi><mo>&#x2212;</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.
ISSN:1000-436X

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