Z-complementary Binary Sequences

Z-complementary Binary Sequences
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DOI:
10.1109/lsp.2007.891834
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发表时间:
2007-07
影响因子:
3.9
通讯作者:
P. Fan;Weina Yuan;Yifeng Tu
P. Fan;Weina Yuan;Yifeng Tu
中科院分区:
工程技术2区
文献类型:
--
作者:
P. Fan;Weina Yuan;Yifeng Tu

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本文介绍了Z-互补序列。这些序列包括作为特殊情况的常规互补序列。它表明,不同于正常的互补对的二元序列,只存在于非常有限的长度,即,2a 10 b26 c对于a,B,cges 0,一个Z-互补的二元序列对存在更多的长度。此外,对于具有零相关区Z的Z互补集合,P个二进制序列,每个二进制序列具有长度N,不同Z互补配对的最大数目小于或等于P[N/Z]。
In this letter, Z-complementary sequences are introduced. These sequences include the conventional complementary sequences as special cases. It is shown that, different from the normal complementary pair of binary sequences which exist only for very limited lengths, i.e., 2a10b26c for a,b,cges0, a Z-complementary pair of binary sequences exists for many more lengths. In addition, for a Z-complementary set with zero correlation zone Z, P binary sequences, each having length N, the maximum number of distinct Z-complementary mates is smaller than or equal to P[N/Z].