Symmetrical Z-Complementary Code Sets (SZCCSs) for Optimal Training in Generalized Spatial Modulation

TL;DR

This paper proposes symmetrical Z-complementary code sets (SZCCSs) with zero-correlation zones at both ends, and demonstrates their application in designing optimal training sequences for broadband generalized spatial modulation systems.

Contribution

Introduction of SZCCSs with ZCZ properties at both ends and their construction using Boolean functions, along with their application in GSM training sequence design.

Findings

SZCCSs exhibit zero auto- and cross-correlation zones at both ends.

Optimal training sequences for GSM are designed using SZCCSs.

The proposed sequences improve channel estimation in frequency-selective channels.

Abstract

This paper introduces a novel class of code sets, called "symmetrical Z-complementary code sets (SZCCSs)" , whose aperiodic auto- and cross- correlation sums exhibit zero-correlation zones (ZCZs) at both the front-end and tail-end of the entire correlation window. Three constructions of (optimal) SZCCSs based on general Boolean functions are presented. As a second major contribution, we apply SZCCSs to design optimal training sequences for broadband generalized spatial modulation (GSM) systems over frequency-selective channels. Key words: Complementary code set, channel estimation, training sequence design, generalized spatial modulation, frequency-selective channels.