互补差集偶与二元互补序列的研究

互补差集偶与二元互补序列的研究 The Study of Complementary Difference Set Pairs and Complementary Binary Sequence 靳慧龙 JIN Huilong1 1 2 first-author 陈嘉兴 CHEN Jiaxin2 2 许成谦 XU Chengqian1 1 燕山大学信息科学与工程学院 燕山大学信息科学与工程学院 The College of Information Science and Engineering,Yanshan University The College of Information Science and Engineering,Yanshan University 河北师范大学电子系 河北师范大学电子系 The Faculty of Electronic,Hebei Normal University The Faculty of Electronic,Hebei Normal University 针对二元互补序列的构造问题,提出了一种直接构造方法——分圆类法.该方法利用"分圆类"原理直接构造出一类新定义的区组设计——互补差集偶,通过互补差集偶与二元互补序列的等价关系,构造出一类新的具有很好的"0"、"1"平衡性和好的自相关度的二元互补序列.使二元互补序列的构造理论得到了发展,能更好地满足实际工程的需要. A direct design method of the complementary binary sequence is presented.A new block design（complementary difference set pairs） is defined,which is constructed based on the cyclotomic class.A new complementary binary sequence is given,taking advantage of the equivalence relation between difference set and sequence.Specially,any one of the new binary sequences has optimum balance among 0 and 1.The method proposed in this paper has wider existence space,which can satisfy the requirements of engineering applications. 信号设计 二元互补序列 互补差集偶 分圆类 直接构造法 signal design complementary binary sequence complementary difference set pairs cyclotomic class direct design method 10.14188/j.1671-8836.2011.05.011 TN911.2 国家自然科学基金资助项目（60872061,60971126）;教育部高等学校博士学科点专项基金（20060216010）;河北省自然科学基金（F2011205103）资助项目 2011-05-01 2021-04-01 5 57