New Construction of Even-Length Binary Z-Complementary Pairs with Low PAPR

Abstract

This paper is focused on constructing even-length binary Z-complementary pairs (EB-ZCPs) with new length. Inspired by a recent work of Adhikary et al., we give a construction of EB-ZCPs with length 8N + 4 (where N = 2 α 10 β 26 γ and α, β, γ are nonnegative integers) and zero correlation zone (ZCZ) width 5N + 2. The maximum aperiodic autocorrelation sums (AACS) magnitude of the proposed sequences outside the ZCZ region is 8. It turns out that the generated sequences have low PAPR.

A unified construction of type-Ⅰ even length Z-complementary pairs based on generalized Boolean function

“…A construction is categorised as indirect, if it needs a seed sequence to carry out the construction, otherwise it is categorised as a direct construction. The constructions reported in [1,2,13,33] are indirect constructions, where GCPs are used as seed sequences. The constructions reported in [21,22,3,5,32,23,35,18,17] are direct, since they are constructed directly using generalised Boolean functions (GBFs), without the need of any seed sequences.…”

“…Kronecker product Indirect (28N, 24N ) 6/7 [13] (8N + 4, 5N + 2) q = 2 N = 2 α 10 β 26 γ ≈ 5/8 Insertion function Indirect [3] (…”