A Direct and New Construction of Near-Optimal Multiple ZCZ Sequence Sets
Abstract
In this paper, for the first time, we present a direct and new construction of multiple zero-correlation zone (ZCZ) sequence sets with inter-set zero-cross correlation zone (ZCCZ) from generalised Boolean function. Tang \emph{et al.} in their 2010 paper, proposed an open problem to construct binary ZCZ sequence sets such that each of these ZCZ sequence sets is optimal and if the union of these sets is taken then that union is again an optimal ZCZ sequence set. The proposed construction partially settles this open problem by presenting a construction of optimal ZCZ sequence sets such that their union is a near-optimal ZCZ sequence set. Further, the performance parameter of each binary ZCZ sequence set in the proposed construction is and tends to for their union. The proposed construction is presented by a two-layer graphical representation and compared with the existing state-of-the-art. Finally, novel multi-cluster quasi synchronous-code division multiple access (QS-CDMA) system model is provided by using the proposed multiple ZCZ sequence sets.
Keywords
Cite
@article{arxiv.2301.02144,
title = {A Direct and New Construction of Near-Optimal Multiple ZCZ Sequence Sets},
author = {Nishant Kumar and Sudhan Majhi and Ashish K. Upadhyay},
journal= {arXiv preprint arXiv:2301.02144},
year = {2023}
}