New Constructions of Binary Cross Z-Complementary Sequence Sets Based on Boolean Functions for Training in Generalized Spatial Modulation

Abstract

This paper introduces a novel kind of cross Z-complementary sequence sets, characterized by zero correlation zones at both the front-end and tail-end shifts in their aperiodic correlation sums. Initially, we propose a direct approach to constructing mutually orthogonal complementary sequence sets through the Boolean functions. Subsequently, we present a direct construction of cross Z-complementary sequence sets featuring large set sizes and flexible lengths based on Boolean functions. These sequence sets hold potential applications in the design of training sequences for broadband generalized spatial modulation (GSM) systems operating over frequency-selective channels.