The Autocorrelation Magnitude of Balanced Binary Sequence Pairs of Prime Period N ≡ 1(mod 4) With Optimal Cross-Correlation

被引：7

作者：

Yang, Yang ^{[1
]}

Tang, Xiaohu ^{[2
]}

Zhou, Zhengchun ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

[2] Southwest Jiaotong Univ, Informat Secur & Natl Comp Grid Lab, Chengdu 610031, Peoples R China

来源：

IEEE COMMUNICATIONS LETTERS | 2015年 / 19卷 / 04期

关键词：

Sequence pairs; balanced; binary sequences; cyclotomy;

D O I：

10.1109/LCOMM.2015.2402278

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

In this paper, for balanced binary sequence pairs (BBSPs for short) of period N 1(mod 4), the optimality of their cross-correlation is determined. Next, a lower bound on the maximal out-of-phase autocorrelationmagnitude is established for BBSPs of period N 1(mod 4) with optimal cross-correlation. Furthermore, BBSPs with optimal cross-correlation whose maximal out-of-phase autocorrelation magnitude achieves the new lower bound are constructed based on the cyclotomy of order 4. These proposed sequences have a periodic total squared correlation value meeting the Ganapathy-Pados-Karystinos bound, and are therefore an option for use in asynchronous CDMA systems.

引用

页码：585 / 588

页数：4