摘要
具有理想自相关性、平衡性和易于实现特性的四进制序列,广泛应用于通信等领域中。虽然已被发现的平衡理想自相关四进制序列有很多,但低相关四进制序列还有很大的研究空间。本文基于广义四阶分圆类和中国剩余定理对周期为2p(p=4f+1奇素数)的低相关四进制序列进行研究,当四进制序列的第0位和第p位元素值分别同时为1和i时,得到了旁瓣值为{2,-2,-6}、{2,-2,-4,4}的平衡低相关四进制序列,当第0位和第p位元素值分别同时为-1和-i时,得到了旁瓣值同为{2,2i,-2i,-2+2i,-2-2i}的平衡低相关四进制序列。
The quaternary sequence with the characteristics of ideal autocorrelation,balance and easy realization is widely used in the field of communication.Although many balanced ideal autocorrelation quaternary sequences have been found,there is still much room for research on low-correlation quaternary sequences.Based on the generalized cyclotomic class and the Chinese remainder theorem,a quaternary sequence with a period of 2 p(p=4f+1 is odd prime number)is studied.When the 0th and p th element values of the sequence are 1 and i,a balanced low-correlation quaternary sequence with side-lobe values of{2,-2,-6}、{2,-2,-4,4}are obtained.When the 0th and p th element values of the sequence are-1 and-i,a balanced low-correlation quaternary sequence with side-lobe values of{2,2i,-2i,-2+2i,-2-2i}are obtained.
作者
李恒智
赵伟
王东
贾彦国
沈秀敏
LI Hengzhi;ZHAO Wei;WANG Dong;JIA Yanguo;SHEN Xiumin(Hebei Institute of International Business and Economics,Qinhuangdao,Hebei 066311,China;School of Information Science and Engineering,Yanshan University,Qinhuangdao,Hebei 066004,China;Liren College,Yanshan University,Qinhuangdao,Hebei 066004,China)
出处
《燕山大学学报》
CAS
北大核心
2023年第1期89-94,共6页
Journal of Yanshan University
基金
河北省自然科学基金资助项目(F2018203057)
河北省教育厅高等学校科技计划青年基金项目(QN2021144)
秦皇岛市科学与技术研究与发展计划项目(202004A010)。
关键词
低相关四进制序列
广义分圆类
中国剩余定理
平衡
low-correlation quaternary sequence
generalized cyclotomic classes
Chinese remainder theorem
balance
作者简介
李恒智(1981-),男,河北秦皇岛人,硕士,主要研究方向为计算机应用;通信作者:贾彦国(1971-),男,河北滦州人,博士,教授,博士生导师,主要研究方向为信道编码理论、扩频序列设计,Email:jyg@ysu.edu.cn。
