Optimal Z-Complementary Sequence Sets With Good Peak-to-Average Power-Ratio Property

In this letter, a novel construction of Z-complementary sequence (ZCS) sets is proposed based on generalized Boolean functions. The constructed ZCS set is optimal since the set size achieves the theoretical upper bound. In addition, the proposed construction is a direct construction without the aid of other special sequences. In this letter, the peak-to-average power ratio (PAPR) property of the constructed ZCS sets is also investigated. Furthermore, the set sizes, flock sizes, sequence lengths, and the widths of zero correlation zones of the constructed ZCS sets are all very flexible.