Cross-Correlation Properties of Cyclotomic Sequences
Cross-Correlation Properties of Cyclotomic Sequences
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DOI：
10.1093/ietfec/e90-a.1.281
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发表时间：
2009-09
期刊：
影响因子：
--
通讯作者：
Kaihua Cai;Rongquan Feng;Zhiming Zheng
中科院分区：
文献类型：
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作者：
Kaihua Cai;Rongquan Feng;Zhiming Zheng
具有良好相关特性的序列在工程应用中有着广泛的应用，特别是在通信领域。在已知序列中，分圆序列族具有最优的自相关特性。本文完全确定了已知割圆序列的互相关函数。此外，为了得到我们的结果，还建立了任意差集的特征序列的抽取与乘子群之间的关系。
Sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. Among the known sequences, cyclotomic families have the optimal autocorrelation property. In this paper, we decide the cross-correlation function of the known cyclotomic sequences completely. Moreover, to get our results, the relations between the multiplier group and the decimations of the characteristic sequence are also established for an arbitrary difference set.