Direct Construction of Optimal Z-Complementary Code Sets for all Possible Even Length by Using Pseudo-Boolean Functions

TL;DR

This paper introduces a method to directly construct optimal Z-complementary code sets of all even lengths using Pseudo-Boolean functions, enhancing interference management and user capacity in MCCDMA systems.

Contribution

It presents a novel approach for constructing optimal ZCCSs of all even lengths with bounded PMEPR using Pseudo-Boolean functions, expanding the design possibilities.

Findings

Constructed ZCCSs for all even lengths.

PMEPR upper bound of two for the proposed ZCCSs.

Enhanced capacity and interference management in MCCDMA systems.

Abstract

Z-complementary code set (ZCCS) are well known to be used in multicarrier code-division multiple access (MCCDMA) system to provide a interference free environment. Based on the existing literature, the direct construction of optimal ZCCSs are limited to its length. In this paper, we are interested in constructing optimal ZCCSs of all possible even lengths using Pseudo-Boolean functions. The maximum column sequence peakto-man envelop power ratio (PMEPR) of the proposed ZCCSs is upper-bounded by two, which may give an extra benefit in managing PMEPR in an ZCCS based MC-CDMA system, as well as the ability to handle a large number of users.