龙岩学院学报
龍巖學院學報
룡암학원학보
JOURNAL OF LONGYAN UNIVERSITY
2012年
5期
1-8
,共8页
几乎差集%广义几乎差集%分圆
幾乎差集%廣義幾乎差集%分圓
궤호차집%엄의궤호차집%분원
almost difference set%generational almost difference set%cyclotomy
将几乎差集的概念推广到广义几乎差集,并研究了其构造问题,利用分圆的方法构造了广义几乎差集,获得了广义几乎差集的若干性质,在6阶分圆的情况下得到一些广义几乎差集的无穷类。与传统的序列相比,广义几乎差集既大大扩展了具有良好相关性序列的存在空间,又为最佳离散信号的设计提供更广的地址码选择范围。
將幾乎差集的概唸推廣到廣義幾乎差集,併研究瞭其構造問題,利用分圓的方法構造瞭廣義幾乎差集,穫得瞭廣義幾乎差集的若榦性質,在6階分圓的情況下得到一些廣義幾乎差集的無窮類。與傳統的序列相比,廣義幾乎差集既大大擴展瞭具有良好相關性序列的存在空間,又為最佳離散信號的設計提供更廣的地阯碼選擇範圍。
장궤호차집적개념추엄도엄의궤호차집,병연구료기구조문제,이용분원적방법구조료엄의궤호차집,획득료엄의궤호차집적약간성질,재6계분원적정황하득도일사엄의궤호차집적무궁류。여전통적서렬상비,엄의궤호차집기대대확전료구유량호상관성서렬적존재공간,우위최가리산신호적설계제공경엄적지지마선택범위。
The definition and construction of generational almost difference set are studied.Generational almost difference set is constructed by means of cyclotomy and some properties and classes of generational almost difference set are obtained.Compared with traditional binary sequences,generational almost difference set pairs not only expand existential space for binary sequences of good correlation,but also provide broader choice range of the address yard.