Cross Z-Complementary Pairs for Optimal Training in Spatial Modulation over Frequency Selective Channels

TL;DR

This paper introduces cross Z-complementary pairs (CZCPs), a new sequence class with zero-correlation zones, and demonstrates their effectiveness in designing training sequences for broadband spatial modulation systems, achieving optimal channel estimation.

Contribution

The paper presents the novel concept of CZCPs with zero-correlation zones and their systematic construction, applying them to improve training sequences in spatial modulation.

Findings

CZCPs exhibit zero autocorrelation and crosscorrelation zones.

Training sequences based on CZCPs enable optimal channel estimation.

Proposed sequences outperform traditional methods in frequency-selective channels.

Abstract

The contributions of this paper are twofold: Firstly, we introduce a novel class of sequence pairs, called "cross Z-complementary pairs (CZCPs)", each displaying zero-correlation zone (ZCZ) properties for both their aperiodic autocorrelation sums and crosscorrelation sums. Systematic constructions of perfect CZCPs based on selected Golay complementary pairs (GCPs) are presented. Secondly, we point out that CZCPs can be utilized as a key component in designing training sequences for broadband spatial modulation (SM) systems. We show that our proposed SM training sequences derived from CZCPs lead to optimal channel estimation performance over frequency-selective channels.