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首页> 外文期刊>IEEE Transactions on Information Theory >Frequency Hopping Sequences With Optimal Partial Hamming Correlation
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Frequency Hopping Sequences With Optimal Partial Hamming Correlation

机译:具有最佳部分汉明相关性的跳频序列

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Frequency hopping sequences (FHSs) with favorable partial Hamming correlation properties have important applications in many synchronization and multiple-access systems. In this paper, we investigate constructions of FHSs and FHS sets with optimal partial Hamming correlation. We first establish a correspondence between FHS sets with optimal partial Hamming correlation and multiple partition-type balanced nested cyclic difference packings with a special property. By virtue of this correspondence, some FHSs and FHS sets with optimal partial Hamming correlation are constructed from various combinatorial structures, such as cyclic difference packings and cyclic relative difference families. As a consequence, our constructions yield new FHSs and FHS sets with optimal partial Hamming correlation.
机译:具有良好的部分汉明相关特性的跳频序列(FHS)在许多同步和多址系统中具有重要的应用。在本文中,我们研究了具有最佳局部汉明相关性的FHS和FHS集的构造。我们首先建立具有最佳部分汉明相关性的FHS集与具有特殊属性的多个分区类型平衡嵌套循环差异填充之间的对应关系。根据这种对应关系,可以从各种组合结构(例如循环差异填充和循环相对差异族)构造一些具有最佳局部汉明相关性的FHS和FHS集。结果,我们的构造产生了具有最佳局部汉明相关性的新FHS和FHS集。

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