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最优跳频序列的新构造

New Constructions for Optimal Frequency-Hopping Sequences

【作者】 张云

【导师】 张胜元;

【作者基本信息】 福建师范大学 , 应用数学, 2009, 硕士

【摘要】 本文以跳频技术为背景,研究跳频序列的设计方法:1.利用分圆方法构造了2p长的跳频序列族,并证明这个族具有对优和族优的性质。将这种方法推广到qp长的跳频序列上,得出相同的优的性质。2.结合分圆与离散对数构造了qp~n长的跳频序列,同时也证明它具有优的性质。3.基于一种双混沌映射构造新的跳频序列,分析了它的性能,说明它具有良好的安全性与可行性。

【Abstract】 With the frequency hopping spread spectrum as the background, this thesis is concerned with design approach for families of frequency hopping sequences:Firstly, new families of Frequency-hopping sequences of length 2p are constructed by cyclotomy, while each pair of sequences and the whole family are proved to be optimal. This methods is generalized to the families of Frequency-hopping sequences of length qp and the similar conclusion are received.Secondly, new families of Frequency-hopping sequences of length qp~n are constructed by cyclotomy and the whole family are proved to be optimal.Thirdly, we present a new chaotic Frequency-hopping sequence through double chaotic and give a conclusion that this Frequency-hopping sequence is safety and feasible.

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