Constructions of Zero Correlation Zone Sequence Sets with Low Cross-Correlation Property

Tao LIU  Chengqian XU  Yubo LI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A    No.7    pp.1583-1587
Publication Date: 2017/07/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E100.A.1583
Type of Manuscript: LETTER
Category: Information Theory
polyphase sequences,  zero correlation zone (ZCZ),  r-coincidence sequences,  quasi-synchronous code division multiple access,  

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This letter proposes a class of polyphase zero correlation zone (ZCZ) sequence sets with low inter-set cross-correlation property. The proposed ZCZ sequence sets are constructed from DFT matrices and r-coincidence sequences. Each ZCZ sequence set is optimal, and the absolute value of the cross-correlation function of sequences from different sets is less than or equal to $rsqrt{N}$, where N denotes the length of each sequence. These ZCZ sequence sets are suitable for multiuser environments.