江苏师范大学学报(自然科学版)
江囌師範大學學報(自然科學版)
강소사범대학학보(자연과학판)
Journal of Xuzhou Normal University(Natural Science Edition)
2014年
2期
30-34
,共5页
四元序列%二元序列%自相关值%序列族%Gray映射%Welch界
四元序列%二元序列%自相關值%序列族%Gray映射%Welch界
사원서렬%이원서렬%자상관치%서렬족%Gray영사%Welch계
quaternary sequence%binary sequence%autocorrelation value%sequence family%Gray mapping%Welch bound
任给一个周期为正奇数 p且具有最优自相关值的二元序列,构造出了周期为 N=2np的四元序列,其自相关值为3值,其中 n为任意正整数且gcd(2n ,p)=1.特别地,当 n=1时,这类四元序列具有最优的自相关值.对任意一个周期为 p且关于Welch界最优的二元序列族,构造出了周期为2 p的四元序列族且关于Welch界几乎最优.
任給一箇週期為正奇數 p且具有最優自相關值的二元序列,構造齣瞭週期為 N=2np的四元序列,其自相關值為3值,其中 n為任意正整數且gcd(2n ,p)=1.特彆地,噹 n=1時,這類四元序列具有最優的自相關值.對任意一箇週期為 p且關于Welch界最優的二元序列族,構造齣瞭週期為2 p的四元序列族且關于Welch界幾乎最優.
임급일개주기위정기수 p차구유최우자상관치적이원서렬,구조출료주기위 N=2np적사원서렬,기자상관치위3치,기중 n위임의정정수차gcd(2n ,p)=1.특별지,당 n=1시,저류사원서렬구유최우적자상관치.대임의일개주기위 p차관우Welch계최우적이원서렬족,구조출료주기위2 p적사원서렬족차관우Welch계궤호최우.
For an arbitrary binary sequence of odd period p with optimal autocorrelation ,quaternary sequences of pe-riod N= 2np with three-level autocorrelation values are constructed ,where n is an arbitrary positive integer and gcd(2n ,p)=1 .In particular ,if n=1 ,the quaternary sequence has optimal autocorrelation values .For a family of binary sequences of period p with optimal Welch bound ,a family of quaternary sequences of period 2 p with almost optimal Welch bound is constructed .