Asymptotically Optimal and Near-optimal Aperiodic Quasi-Complementary Sequence Sets Based on Florentine Rectangles

Abstract

Quasi-complementary sequence sets (QCSSs) can be seen as a generalized version of complete complementary codes (CCCs), which enables multicarrier communication systems to support more users. The contribution of this work is two-fold. First, we propose a systematic construction of Florentine rectangles. Secondly, we propose several sets of CCCs and QCSS, using Florentine rectangles. The CCCs and QCSS are constructed over Z N , where N ≥ 2 is any integer. The cross-correlation magnitude of any two of the constructed CCCs is upper bounded by N . By combining the proposed CCCs, we propose asymptotically optimal and near-optimal QCSSs with new parameters. This solves a longstanding problem, of designing asymptotically optimal aperiodic QCSS over Z N , where N is any integer.