一种新的偶周期三值四元序列偶的构造方法  

A New Construction Method of Even Period Quaternary Sequence Pair with Three-level

作　　者：石妍 SHI Yan(Hebei Chemical&Pharmaceutical College,Shijiazhuang 050026,China)

机构地区：[1]河北化工医药职业技术学院,河北石家庄050026

出　　处：《现代信息科技》2021年第6期62-65,共4页Modern Information Technology

基　　金：河北化工医药职业技术学院院级项目(YZ201925)。

摘　　要：提出了一种构造偶周期三值自相关四元序列偶的新方法。构造得到的三值自相关四元序列偶具有良好的自相关特性。首先利用二阶分圆类构造出两个周期为2f的二元序列,然后对两个二元序列采用逆Gray映射,进而得到一个周期为2f的三值自相关四元序列偶。并对所得到的三值四元序列偶进行了重点研究,当f≥4时该四元序列偶具有良好的自相关特性,自相关函数分布与F_(v)的二阶分圆类(v=2f+1,f≥4)中的奇偶性有关,当f为奇数时副峰值为{-4,0},当f为偶数时副峰值为{-2,2}。A new method for constructing even period quaternary sequence pair with three-level autocorrelation is proposed.The constructed quaternary sequence pair with three-level autocorrelation have good autocorrelation characteristics.First,two binary sequences with period of 2f are proposed by second order cyclotomic class,then a new qu-aternary pair with three-level autocorrelation with period 2f is obtained from those two binary sequences by using the reverse Gray mapping.The quaternary sequence pair with three-level is studied,when f≥4 the quaternary sequence pair has good properties of autocorrelation.The distribution of autocorrela-tion function is related to the parity in the second order cyclotomic class of Fv(v=2f+1,f≥4).When f is odd,the sub peak is{-4,0},and{-2,2}when f is even.

关 键 词：三值四元序列偶 二阶分圆类 逆Gray映射 自相关函数 奇偶性 

分 类 号：TN911.1[电子电信—通信与信息系统]