Optimal Frequency Hopping Sequences of Odd Length
Optimal Frequency Hopping Sequences of Odd Length
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DOI：
10.1109/tit.2013.2237754
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发表时间：
2013-05
影响因子：
2.5
通讯作者：
Xiangyong Zeng;Han Cai;Xiaohu Tang;Yang Yang-Yang
中科院分区：
文献类型：
--
作者：
Xiangyong Zeng;Han Cai;Xiaohu Tang;Yang Yang-Yang
本文引入了关于正奇整数的一种新的广义割圆法，并作为其应用，给出了一种跳频序列集的构造方法和两种跳频序列的构造方法。得到的跳频序列集和跳频序列分别在Peng-Fan界和Lempel-Greenberger界下是最优的。进一步地，最佳跳频序列集中的序列长度可以是大于3的任意奇数。其中一些有新的参数。
In this paper, a new generalized cyclotomy with respect to a positive odd integer is introduced, and a construction of frequency hopping sequence sets and two constructions of frequency hopping sequences are proposed as its applications. The frequency hopping sequence sets and frequency hopping sequences obtained in this paper can be optimal with respect to the Peng-Fan bound and Lempel-Greenberger bound, respectively. Further, the length of sequences in the optimal frequency hopping sequence sets can be any odd integer larger than 3. Some of them have new parameters.