Constructions of Z-Optimal Type-II Quadriphase Z-Complementary Pairs

By employing a binary or quadriphase Golay complementary pair (BGCP or QGCP) of length N as seed, and using interleaving technique, five constructions for Z-optimal Type-II quadriphase Z-complementary pairs (QZCPs) with flexible lengths in the form of 3N, 7N, 9N, 14N, and 15N, respectively are presented. The proposed constructions can result in lots of new pairs which can not be produced by existing known constructions, and the resultant Z-optimal Type-II QZCPs have low peak-to-mean envelope power ratio (PMEPR) upper bounds with the minimum value of 2.44. Hence, the proposed constructions can provide more excellent candidates for applications to PMEPR control in an multi-carrier communication system.

Automated summary

This paper presents five constructions for Z-optimal Type-II quadriphase Z-complementary pairs (QZCPs) with flexible lengths, which can generate new pairs that cannot be obtained by existing constructions. The resulting QZCPs have low peak-to-mean envelope power ratio (PMEPR) upper bounds, making them excellent candidates for PMEPR control in a multi-carrier communication system.