具有最优自相关的新四元序列

2009 IEEE International Symposium on Information Theory Pub Date : 2009-06-28 DOI:10.1109/ISIT.2009.5205276

Young-Sik Kim, Jiwoong Jang, Sang-Hyo Kim, Jong-Seon No

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引用次数: 28

摘要

提出了一种利用二元Sidel'nikov序列的反向灰度映射构造四元序列的新方法。该构造提供了周期为N的偶序列，其最大非平凡自相关幅度为Rmax = 2。对于N≡0 mod 4，新的四元序列具有最优Rmax = 2，并且与之前唯一的最优构造Sj[1]相比几乎是平衡的。

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New quaternary sequences with optimal autocorrelation

We propose a new construction of quaternary sequences using the reverse Gray mapping of a pair of binary Sidel'nikov sequences. The proposed construction provides sequences of even period N with the maximum nontrivial auto-correlation magnitude, Rmax = 2. For N ≡ 0 mod 4, the new quaternary sequences have the optimal Rmax = 2 and are almost-balanced in contrast to the only earlier optimal construction Sj [1].

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2009 IEEE International Symposium on Information Theory

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