A Construction of Type-II ZCCS for the MC-CDMA System with Low PMEPR

TL;DR

This paper introduces a new method to construct type-II Z-complementary code sets with arbitrary lengths for MC-CDMA systems, reducing peak-to-mean envelope power ratio using Barker sequences, and providing improved PMEPR bounds.

Contribution

It presents a novel construction of type-II ZCCS using Kronecker products and Barker sequences, enabling arbitrary lengths and lower PMEPR than existing methods.

Findings

Column sequence PMEPR is bounded below 2.

New lengths of type-II ZCP and ZCS are achieved.

PMEPR of new ZCPs is lower than previous designs.

Abstract

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.