Algebraic Constructions of Optimal Frequency-Hopping Sequences
Algebraic Constructions of Optimal Frequency-Hopping Sequences
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DOI：
10.1109/tit.2007.899545
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发表时间：
2007-07
影响因子：
2.5
通讯作者：
C. Ding;M. Moisio;Jin Yuan
中科院分区：
文献类型：
--
作者：
C. Ding;M. Moisio;Jin Yuan
跳频扩频和直接序列扩频是两种主要的扩频编码技术。跳频码分多址（CDMA）系统需要跳频序列。本文用代数方法构造了三类最优跳频序列。这三类分别基于完全非线性函数、幂函数和范数函数。提出了单个最优跳频序列和最优跳频序列族。
Frequency-hopping (FH) spread spectrum and direct-sequence spread spectrum are two main spread-coding technologies. Frequency-hopping sequences are needed in FH code-division multiple-access (CDMA) systems. In this correspondence, three classes of optimal frequency-hopping sequences are constructed with algebraic methods. The three classes are based on perfect nonlinear functions, power functions, and norm functions, respectively. Both individual optimal frequency-hopping sequences and optimal families of frequency-hopping sequences are presented.