Helleseth-Gong序列的采样的Hadamard变换性质研究  

Properties of Hadamard Transform from Samples of Helleseth-Gong Sequences

作　　者：周玉倩[1] 王宁[2] 常祖领[1] 

机构地区：[1]郑州大学数学系,河南郑州450001 [2]中原工学院理学院,河南郑州450007

出　　处：《郑州大学学报（理学版）》2013年第2期27-30,共4页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号61102093;61174085

摘　　要：对于具有理想二级自相关函数,周期为pn-1的Helleseth-Gong序列,利用频谱分析的方法研究其Hadamard变换的性质,并证明其Hadamard变换是三值的.完善了Helleseth-Gong序列的构造,同时证明了对于特殊序列的Walsh变换和Hadamard变换之间的关系.According to the spectrum analysis method, the Hadamard transform of a new family of nonbi- nary sequences of period pn- 1 with symbols from a finite field Fp for any prime p 〉 2 was studied. Such sequences had ideal two-level autoeorrelation. The Hadamard transform values were determined and shown to be three-valued, and the construction of Helleseth-Gong sequences was modified. Furthermore, the relationship between the Hadamard transform and the Walsh transform for the particular function was found.

关 键 词：互相关 HADAMARD变换 p元Helleseth-Gong序列 WALSH变换 

分 类 号：TN918.1[电子电信—通信与信息系统]