二值序列偶及其在低相关区序列偶集中的应用

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (1): 31-34.

二值序列偶及其在低相关区序列偶集中的应用

刘凯，许成谦，李刚

(燕山大学信息科学与工程学院, 河北秦皇岛 066004)

出版日期:2010-01-23 发布日期:2010-01-03

Two-level autocorrelation sequence pairs and their application in low correlation zone sequence pair sets

LIU Kai, XU Cheng-qian, LI Gang

(Coll. of Information Science and Engineering, Yanshan Univ., Qinhuangdao 066004, China)

Online:2010-01-23 Published:2010-01-03

摘要/Abstract

摘要：

利用差集偶与二值序列偶的等价关系，证明了异相自相关值为-1的二值序列偶等价对应的差集偶存在的必要条件，并结合特征多项式法构造出(3+2d,2,2+d,2,1)型和(6λ-5,3λ-1,2λ-1,λ+1,λ)型几类差集偶。由该差集偶获得的二值序列偶可应用于低相关区序列偶集的构造，即通过对二值序列偶的循环移位变换构造出低相关值为-1，低相关区长为移位长度L_cz，序列偶数量小于最大低相关区长度N-1与移位长度L_cz之比的最大整数的低相关区序列偶集。

Abstract:

According to the equivalence relation between DSP (difference set pair) and BSPT (binary two-level autocorrelation sequence pair), the necessary condition of the existence of DSP corresponding to related BSPT with out-phase autocorrelation value of -1 is put forward and proved, and combining with the characteristic polynomial, the difference set pairs with the parameters of (3+2d,2,2+d,2,1) and (6λ-5,3λ-1,2λ-1,λ+1,λ) are constructed. By the aid of cyclic shift transform, the related BSPT with out-phase autocorrelation value of -1 can be applied to construct LCZ (low correlation zone) sequence pair sets with correlation function values of -1, in which the LCZ length equals to shift length L_cz, and the number of sequence pairs M is not greater than the maximum integer of the ratio of the maximal LCZ length (N-1) to shift length L_cz.

刘凯，许成谦，李刚. 二值序列偶及其在低相关区序列偶集中的应用[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 31-34.

LIU Kai, XU Cheng-qian, LI Gang. Two-level autocorrelation sequence pairs and their application in low correlation zone sequence pair sets[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 31-34.