最佳零相关区序列集构造法

doi:10.11959/j.issn.1000-436x.2020175

Abstract

Abstract:

The construction of zero correlation zone (ZCZ) sequence set was researched based on perfect sequences and orthogonal sequence set.With the method of constructing on finite field,the optimal zero correlation zone sequence sets were constructed,by changing the set O and R,multiple shift distinct ZCZ sequence sets could be obtained and the number of sets could be expended.Through the constructions,the length of ZCZ can be chosen flexibly to meet the requirements of different systems for channel delay under the condition of $p = \frac{Z}{N}$ or $p^{n} = \frac{Z}{N}$ ,where p is a prime.

Key words: zero correlation zone, perfect sequence, orthogonal sequence set, shift distinct

CLC Number:

TN911.2

Xiaoyu CHEN,Xichao GAO,Yongjie LI. Construction of optimal zero correlation zone sequence set[J]. Journal on Communications, 2020, 41(8): 215-222.

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构造方法	初始序列	序列集参数	零相关区长度可否灵活设定	η
文献[5]	Reed-Muller码	ZCZ(2^k+1,2^n+k+2,2ⁿ)	否	η= 1
文献[6]	不匹配二元序列对	ZCZ (N,M,Z-1),N=MZ+r其中0≤r<Z	是	η= 1
文献[10]	Pu矩阵	ZCZ(M,M ²P^N,(M-1)P^N)	否	η< 1
文献[13]	完备序列和正交矩阵	ZCZ(mn,m,n-1),gcd(m,n)=1 ZCZ(mn,m,n-2),m\|n ZCZ(mn,m,n-2),n\|m	否	η< 1
文献[14]	完备序列移位序列	ZCZ (2N,2M,Z)	是	η≤ 1
文献[20]	ZCZ序列集完备高斯整数序列	ZCZ(NK,M,ZK)	否	η≤ 1
本文构造法1	完备序列正交序列集	ZCZ(NN ₀,Q,Z),Q= pN₁ Z	是	η =1
本文构造法2	完备序列正交序列集	ZCZ(NN₀,Q,Z),Q= pⁿN₁Z	是	η =1

Construction of optimal zero correlation zone sequence set

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