电子学报
電子學報
전자학보
ACTA ELECTRONICA SINICA
2014年
5期
948-952
,共5页
Plateaued函数%谱支撑集%扩散性
Plateaued函數%譜支撐集%擴散性
Plateaued함수%보지탱집%확산성
Plateaued functions%Walsh spectrum support%propagation properties
本文对Plateaued函数的谱支撑集的结构与性质进行了深入研究，给出了 r阶Plateaued函数的全体非0谱值点集合与线性结构集的维数之间的关系。利用谱指标对2阶Plateaued函数和4阶Plateaued函数的自相关性进行了详细分析，给出了其自相关系数的分布。分析了 r阶Plateaued函数的谱支撑集和零谱值点集的结构特征，给出了多个 r阶Plateaued函数的谱支撑集在不相交时自相关系数之间的关系以及谱支撑集与函数平衡性的关系。
本文對Plateaued函數的譜支撐集的結構與性質進行瞭深入研究，給齣瞭 r階Plateaued函數的全體非0譜值點集閤與線性結構集的維數之間的關繫。利用譜指標對2階Plateaued函數和4階Plateaued函數的自相關性進行瞭詳細分析，給齣瞭其自相關繫數的分佈。分析瞭 r階Plateaued函數的譜支撐集和零譜值點集的結構特徵，給齣瞭多箇 r階Plateaued函數的譜支撐集在不相交時自相關繫數之間的關繫以及譜支撐集與函數平衡性的關繫。
본문대Plateaued함수적보지탱집적결구여성질진행료심입연구，급출료 r계Plateaued함수적전체비0보치점집합여선성결구집적유수지간적관계。이용보지표대2계Plateaued함수화4계Plateaued함수적자상관성진행료상세분석，급출료기자상관계수적분포。분석료 r계Plateaued함수적보지탱집화령보치점집적결구특정，급출료다개 r계Plateaued함수적보지탱집재불상교시자상관계수지간적관계이급보지탱집여함수평형성적관계。
This paper discusses the structure and properties of spectrum support for plateaued functions .We give the relation-ship between the set of rth-order plateaued functions’ all nonzero walsh spectrum points and the dimension of linear structure set . Meanwhile ,we utilize spectrum index to analyze the autocorrelation properties of both second-order and 4th-order plateaued func-tions .And the distribution of their autocorrelation coefficient is given .Moreover ,we talk about the structure characteristics of rth-or-der plateaued functions’ spectrum support and zero walsh spectrum points set .We present the relationship among their autocorrela-tion coefficients and point out the relationship between the spectrum support and the balance property when more rth-order plateaued functions’ spectrum supports are not cross .
