Zero correlation zone sequence set with inter-group orthogonal and inter-subgroup complementary properties
Zero correlation zone sequence set with inter-group orthogonal and inter-subgroup complementary properties
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DOI：
10.3934/amc.2015.9.9
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发表时间：
2015-02
期刊：
影响因子：
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通讯作者：
Zhenyu Zhang;L. Ge;F. Zeng;Guixin Xuan
中科院分区：
文献类型：
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作者：
Zhenyu Zhang;L. Ge;F. Zeng;Guixin Xuan
本文提出了一种新的零相关区互补序列集的构造方法。构造的序列集可以划分为多个序列组，每个序列组可以进一步划分为多个序列子组。除了来自同一序列子组的序列具有ZCZ特性外，来自不同序列组的序列彼此正交，而来自同一序列组内不同序列子组的序列具有理想的互相关特性，即所提出的ZCZ序列集具有组间正交（IGO）和子组间互补（ISC）特性。与以往的方法相比，新的构造方法可以灵活地选择ZCZ宽度和集合大小，得到的序列称为IGO-ISC序列，其ZCZ宽度和序列长度都达到了集合大小的理论上界。
In this paper, a novel method for constructing complementary sequence set with zero correlation zone (ZCZ) is presented by interleaving and combining three orthogonal matrices. The constructed set can be divided into multiple sequence groups and each sequence group can be further divided into multiple sequence subgroups. In addition to ZCZ properties of sequences from the same sequence subgroup, sequences from different sequence groups are orthogonal to each other while sequences from different sequence subgroups within the same sequence group possess ideal cross-correlation properties, that is, the proposed ZCZ sequence set has inter-group orthogonal (IGO) and inter-subgroup complementary (ISC) properties. Compared with previous methods, the new construction can provide flexible choice for ZCZ width and set size, and the resultant sequences which are called IGO-ISC sequences in this paper can achieve the theoretical bound on the set size for the ZCZ width and sequence length.