A Tighter Correlation Lower Bound for Quasi-Complementary Sequence Sets

作者：Liu Zilong^*; Guan Yong Liang; Mow Wai Ho

来源：IEEE Transactions on Information Theory, 2014, 60(1): 388-396.

DOI：10.1109/TIT.2013.2285212

• Golay complementary pair
• Levenshtein Bound
• mutually orthogonal complementary sequence set (MOCSS)
• quasi-complementary sequence set (QCSS)
• Welch Bound

Levenshtein improved the famous Welch bound on aperiodic correlation for binary sequences by utilizing some properties of the weighted mean square aperiodic correlation. Following Levenshtein's idea, a new correlation lower bound for quasi-complementary sequence sets (QCSSs) over the complex roots of unity is proposed in this paper. The derived lower bound is shown to be tighter than the Welch bound for QCSSs when the set size is greater than some value. The conditions for meeting the new bound with equality are also investigated.

• 出版日期2014-1
• 单位南阳理工学院; 香港科技大学