新的周期准互补序列集构造方法

doi:10.11959/j.issn.1000-436x.2023100

Abstract

Abstract:

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 .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 to .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.

Key words: quasi-complementary, near optimal, asymptotically optimal, circular Florentine array, one-coincidence fre-quency-hopping

CLC Number:

TN911.2

Xiaoyu CHEN, Chengrui WANG, Fan LIU. New construction method of periodic quasi-complementary sequence set[J]. Journal on Communications, 2023, 44(5): 206-212.

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References 13

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p, n, q值	K	M	N	δ_max
p=2, n=3, q=8	56	8	7	1.153
p=3, n=2, q=9	72	9	8	1.133
p=2,n=4,q=16	240	16	15	1.069
p=5,n=2,q=25	600	25	24	1.043
p=3,n=3,q=27	702	27	26	1.039
p=7,n=2,q=49	992	32	31	1.033

构造方法	K	M	N	δ_max	约束条件
文献[7]方法	p		p		p是素数
文献[8]方法1					p是奇素数
文献[8]方法2					p是素数
文献[9]方法1					p是奇素数
文献[9]方法2					p是素数，n＞1
文献[9]方法3					p是素数
文献[10]方法1					p= 2
文献[10]方法2					p是奇素数
文献[11]方法1					p是奇素数且
文献[11]方法2					p是奇素数且
本文构造法1	NF(N)	N	N	N	N是奇数
本文构造法2					p是素数且

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New construction method of periodic quasi-complementary sequence set

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