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

Xuan ZHANG  Qiaoyan WEN  Jie ZHANG  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E93-A   No.5   pp.942-949
Publication Date: 2010/05/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E93.A.942
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Communication Theory and Signals
Keyword: 
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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Summary: 
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.