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arXiv · 2204.13538

New Correlation Bound and Construction of Quasi-Complementary Code Sets

Palash Sarkar·Chunlei Li·Sudhan Majhi·Zilong Liu
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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.

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Palash Sarkar, Chunlei Li, Sudhan Majhi, Zilong Liu. 2022-04-28. New Correlation Bound and Construction of Quasi-Complementary Code Sets. https://arxiv.org/abs/2204.13538

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