New Correlation Bound and Construction of Quasi-Complementary Code Sets
Information Theory
2024-01-12 v3 Signal Processing
Combinatorics
math.IT
Abstract
Quasi-complementary sequence sets (QCSSs) have attracted sustained research interests for simultaneously supporting more active users in multi-carrier code-division multiple-access (MC-CDMA) systems compared to complete complementary codes (CCCs). In this paper, we investigate a novel class of QCSSs composed of multiple CCCs. We derive a new aperiodic correlation lower bound for this type of QCSSs, which is tighter than the existing bounds for QCSSs. We then present a systematic construction of such QCSSs with a small alphabet size and low maximum correlation magnitude, and also show that the constructed aperiodic QCSSs can meet the newly derived bound asymptotically.
Cite
@article{arxiv.2204.13538,
title = {New Correlation Bound and Construction of Quasi-Complementary Code Sets},
author = {Palash Sarkar and Chunlei Li and Sudhan Majhi and Zilong Liu},
journal= {arXiv preprint arXiv:2204.13538},
year = {2024}
}