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

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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.

作者周玉倩王宁常祖领

机构地区郑州大学数学系中原工学院理学院

出处《郑州大学学报（理学版）》 CAS 北大核心 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

关键词互相关 HADAMARD变换 p元Helleseth-Gong序列 WALSH变换 cross-correlation Hadamard transform p-ary Helleseth-Gong sequence Walsh transform

分类号 TN918.1 [电子电信—通信与信息系统]

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郑州大学学报（理学版）

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Helleseth-Gong序列的采样的Hadamard变换性质研究

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