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Pseudo-Boolean Functions for Optimal Z-Complementary Code Sets with Flexible Lengths

Sarkar, Palash and Majhi, Sudhan and Liu, Zilong (2021) 'Pseudo-Boolean Functions for Optimal Z-Complementary Code Sets with Flexible Lengths.' IEEE Signal Processing Letters, 28. 1350 - 1354. ISSN 1070-9908

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Abstract

This paper aims to construct optimal Z-complementary code set (ZCCS) with non-power-of-two (NPT) lengths to enable interference-free multicarrier code-division multiple access (MC-CDMA) systems. The existing ZCCSs with NPT lengths, which are constructed from generalized Boolean functions (GBFs), are sub-optimal only with respect to the set size upper bound. For the first time in the literature, we advocate the use of pseudo-Boolean functions (PBFs) (each of which transforms a number of binary variables to a real number as a natural generalization of GBF) for direct constructions of optimal ZCCSs with NPT lengths.

Item Type: Article
Uncontrolled Keywords: Multicarrier code-division multiple access (MC-CDMA), generalized Boolean function (GBF), pseudo-Boolean function (PBF), Z-complementary code set (ZCCS), zero correlation zone (ZCZ)
Divisions: Faculty of Science and Health > Computer Science and Electronic Engineering, School of
Depositing User: Elements
Date Deposited: 16 Jul 2021 14:09
Last Modified: 16 Jul 2021 14:09
URI: http://repository.essex.ac.uk/id/eprint/30469

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