Theory of almost perfect ternary sequence pairs

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (16): 138-140.

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Theory of almost perfect ternary sequence pairs

CHONG Jinfeng1，ZHANG Shanshan2，CAO Hao3

1.School of Mathematical Science，Huaibei Coal Industry Teachers College，Huaibei，Anhui 235000，China
2.Department of Mathematic，Baoji University of Arts and Sciences，Baoji，Shaanxi 721013，China
3.College of Science，Anhui Science and Technology University，Fengyang，Anhui 233100，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-06-01 Published:2011-06-01

几乎最佳三进序列偶理论研究

崇金凤1，张姗姗2，曹浩3

1.淮北煤炭师范学院数学科学学院，安徽淮北 235000
2.宝鸡文理学院数学系，陕西宝鸡 721013
3.安徽科技学院理学院，安徽凤阳 233100

Abstract

Abstract: Almost perfect ternary sequence pairs，a new periodic correlation perfect signal is defined.This signal enriches the theory of sequence pairs.The definition of the almost perfect ternary sequence pairs and its transformation properties are presented，and the necessary conditions for the almost perfect ternary sequence pairs are given.The Fourier spectrum characters of almost perfect ternary sequence pairs are studied.The relation of main peak，vice-main peak of sequence pairs and the distributions of sequences’ elements are deduced.

Key words: sequence pairs, almost perfect ternary sequence pairs, auto-correlation function, Fourier transform

摘要： 提出一种具有良好自相关特性的周期相关信号，即几乎最佳三进序列偶，进一步丰富和完善了序列偶最佳相关信号理论。给出了几乎最佳三进序列偶的定义，研究了它的变换性质，并给出了它的一些存在的必要条件，同时研究了序列偶的谱特性，得到了序列偶的主、副峰值与每个序列的奇数位、偶数位元素之和的关系。

关键词: 序列偶, 几乎最佳三进序列偶, 自相关函数, Fourier变换

CHONG Jinfeng1，ZHANG Shanshan2，CAO Hao3. Theory of almost perfect ternary sequence pairs[J]. Computer Engineering and Applications, 2011, 47(16): 138-140.

崇金凤1，张姗姗2，曹浩3. 几乎最佳三进序列偶理论研究[J]. 计算机工程与应用, 2011, 47(16): 138-140.

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Theory of almost perfect ternary sequence pairs

几乎最佳三进序列偶理论研究

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