THE CONSTRUCTIONS OF ALMOST BINARY SEQUENCE PAIRS WITH THREE-LEVEL CORRELATION BASED ON CYCLOTOMY  

作　　者：Peng Xiuping Xu Chengqian 

机构地区：[1]College of Information Science and Engineering,Yanshan University,Qinhuangdao 066004,China

出　　处：《Journal of Electronics(China)》2012年第1期9-16,共8页电子科学学刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 60872061,60971126,and 61172094)

摘　　要：In this paper,a new class of almost binary sequence pair with a single zero element is presented.The almost binary sequence pairs with three-level correlation are constructed based on cyclotomic numbers of order 2,4,and 6.Most of them have good correlation and balance property,whose maximum nontrivial correlation magnitudes are 2 and the difference between the numbers of occurrence of +1's and-1's are 0 or 1.In addition,the corresponding binary sequence pairs are investigated as well and we can also get some kinds of binary sequence pairs with optimum balance and good correlation.In this paper, a new class of almost binary sequence pair with a single zero element is presented. The almost binary sequence pairs with three-level correlation are constructed based on cyclotomic numbers of order 2, 4, and 6. Most of them have good correlation and balance property, whose maximum nontrivial correlation magnitudes are 2 and the difference between the numbers of occurrence of ＋l＇s and -l＇s are 0 or 1. In addition, the corresponding binary sequence pairs are investigated as well and we can also get some kinds of binary sequence pairs with optimum balance and good correlation.

关 键 词：CORRELATION Cyclotomic numbers Almost binary sequence pairs Binary sequence pair 

分 类 号：TN911.2[电子电信—通信与信息系统]