In this letter, we propose a novel construction of type-II $Z$-complementary code set (ZCCS) having arbitrary sequence length using the Kronecker product between a complete complementary code (CCC) and mutually orthogonal uni-modular sequences. In this construction, 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 sizes of codes. The column sequence PMEPR of the proposed type-II ZCCS is upper bounded by a number smaller than $2$. The proposed construction also contributes new lengths of type-II $Z$-complementary pair (ZCP) and type-II $Z$-complementary set (ZCS). Furthermore, the PMEPR of these new type-II ZCPs is also lower than existing type-II ZCPs.
翻译:本论文提出了一种新型Type-II $Z$-互补码集(ZCCS)的构造方法,该方法通过将完备互补码(CCC)与相互正交的单模序列进行克罗内克积,实现了任意序列长度的生成。在该构造中,针对特定长度序列的行序列峰值均值包络功率比(PMEPR)以及特定大小码的列序列PMEPR,采用巴克序列进行降低。所提出的Type-II ZCCS的列序列PMEPR上限小于$2$。此外,该构造还贡献了新型长度的Type-II $Z$-互补对(ZCP)和Type-II $Z$-互补集(ZCS)。与传统Type-II ZCP相比,这些新型Type-II ZCP的PMEPR也更低。