Open AccessZ-complementary pairs with flexible lengths and large zero odd-periodic correlation zones
Author(s) -
Liqun Yao,
Wenli Ren,
Yong Wang,
Chunming Tang
Publication year - 2023
Publication title -
advances in mathematics of communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.601
H-Index - 26
eISSN - 1930-5346
pISSN - 1930-5338
DOI - 10.3934/amc.2021037
Subject(s) - mathematics , zero (linguistics) , combinatorics , concatenation (mathematics) , period length , complementary sequences , sequence (biology) , class (philosophy) , correlation , binary golay code , arithmetic , discrete mathematics , algorithm , geometry , philosophy , linguistics , biology , genetics , artificial intelligence , computer science
Z-complementary pairs (ZCPs) have been widely used in different communication systems. In this paper, we first investigate the odd-periodic correlation property of ZCPs, and propose a new class of ZCPs, called ZOC-ZCPs with zero correlation zone (ZCZ) width \begin{document}$ Z $\end{document} and zero odd-period correlation zone (ZOCZ) width \begin{document}$ Z_{odd} = Z $\end{document} by horizontal concatenation of a certain combination of some known ZCPs. Particularly, based on any known Golay pair, we can generate a class of GCPs of more flexible length whose ZOCZ width is larger than a quarter of the sequence length.