Z-complementary pairs with flexible lengths and large zero odd-periodic correlation zones
Liqun Yao, Wenli Ren, Yong Wang, Chunming Tang · Advances in Mathematics of Communications · 2021
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.