New Correlation Bound and Construction of Quasi-Complementary Code Sets

TL;DR

This paper introduces a new correlation bound for a class of quasi-complementary sequence sets and provides a systematic construction method that approaches this bound, enhancing multi-user communication systems.

Contribution

It derives a tighter aperiodic correlation lower bound for QCSSs composed of CCCs and presents a systematic construction method meeting this bound asymptotically.

Findings

Derived a new aperiodic correlation lower bound for QCSSs.

Constructed QCSSs with small alphabet size and low correlation.

Showed constructed QCSSs meet the new bound asymptotically.

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.