基于分圆类的一类伪随机二进序列偶的构造方法研究  

The Study of Methods for Constructing a Family of Pseudorandom Binary Sequence Pairs Based on the Cyclotomic Class

作　　者：靳慧龙[1] 许成谦[1] 

机构地区：[1]燕山大学信息科学与工程学院,河北秦皇岛066004

出　　处：《电子学报》2010年第7期1608-1611,共4页Acta Electronica Sinica

基　　金：国家自然科学基金(No.60872061;No.60971126);教育部高等学校博士学科点专项基金(No.20060216010);河北省自然科学基金(No.F2008000855);河北省教育厅基金(No.2009458)

摘　　要：本文把"分圆类"引入到序列偶的构造中,提出了一种伪随机序列偶构造的新方法——分圆类法.利用分圆类法构造出差集偶,通过差集偶与伪随机序列偶的等价关系,进而构造出一类新的伪随机序列偶,此种序列具有很好的"0"、"1"平衡性和好的自相关度,为应用差集偶这种区组设计的方法研究伪随机序列偶提供了新的理论依据.In this paper,the cyclotomic classes are used in the new construction of pseudorandom sequence pairs and a new method of constructing pseudorandom sequence pairs,i.e.cyclotomic classes is presented.The difference set pairs is given by the cyclotomic classes.Then the new pseudorandom sequence pairs can be constructed by using the equivalence relation between difference set pairs and pseudorandom sequence pairs.This new binary sequences has optimum balance among 0′s and 1′s.As a result,the new theoretical basis for using differences set pairs to study pseudorandom sequence pairs is provided.

关 键 词：信号设计 分圆类 差集偶 伪随机序列 

分 类 号：TN911[电子电信—通信与信息系统]