A Construction of Type-II ZCCS of Arbitrary Sequence Length with Low PMEPR

In this letter, we propose a novel construction of type-II $Z$-complementary code set (ZCCS) having arbitrary sequence length. The proposed construction features type-II $(K,K,NP-P+1,NP)$-ZCCS using Kronecker product between $(K,K,N)$-complete complementary code (CCC) set and unimodular sequence. In this construction, for the first time, Barker sequences are used to reduce row sequence peak-to-mean envelope power ratio (PMEPR) for some specific lengths sequence and column sequence PMEPR for some specific size of codes. The column sequence PMEPR of the proposed type-II ZCCS is upper bounded by a number smaller than $2$, which is lower than the bounds reported in existing literature for such codes. The proposed construction also contributes new lengths of type-II $Z$-complementary pair (ZCP) and type-II $Z$-complementary set (ZCS), which are also not reported before in literature. Furthermore, the PMEPR of the obtained type-II ZCP is also lower than some of the existing work. The PMEPR of type-II ZCS can also be ensured to be low.