New General Constructions of LCZ Sequence Sets Based on Interleaving Technique and Affine Transformations

Xuan ZHANG; Qiaoyan WEN; Jie ZHANG

doi:10.1587/transfun.E93.A.942

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New General Constructions of LCZ Sequence Sets Based on Interleaving Technique and Affine Transformations

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Keywords: low correlation zone (LCZ) sequence, zero correlation zone (ZCZ) sequence, quasi-synchronous code-division multiple access (QS-CDMA), circulant matrix, affine transformation

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2010 Volume E93.A Issue 5 Pages 942-949

DOI https://doi.org/10.1587/transfun.E93.A.942

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Abstract

In this paper, we propose four new general constructions of LCZ/ZCZ sequence sets based on interleaving technique and affine transformations. A larger family of LCZ/ZCZ sequence sets with longer period are generated by these constructions, which are more flexible among the selection of the alphabet size, the period of the sequences and the length of LCZ/ZCZ, compared with those generated by the known constructions. Especially, two families of the newly constructed sequences can achieve or almost achieve the theoretic bound.

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