Novel Constructions of Type-II Binary ZCPs via Inserting Vectors

The type-II Z-complementary pairs (ZCPs) are used to suppress asynchronous interference in multi-carrier communication systems. There are many methods for the construction of type-II ZCPs, including horizontal concatenation of GCP, generalized Boolean functions, interleaving techniques, and so on. In this paper, two types of type-II binary ZCPs are proposed based on the insertion method, with parameters of (4N + 2, 2N + 1) and zero correlation zone (ZCZ) ratio of 1/2. Also, we obtained a new type of type-II binary ZCPs with parameters of (4N + 2, 3N + 1) and ZCZratio of 3/4. The proposed type-II binary ZCPs have aperiodic auto-correlation sums (AACS) magnitude of 4 and 8 outside the ZCZ zone (except for the last time-shift taking AACS value of zero). In particular, the AACS magnitude of the type-II binary ZCP with parameters of (4N + 2, 3N + 1) is only 4.