Large Zero Autocorrelation Zone of Golay Sequences and $4^q$-QAM Golay Complementary Sequences

TL;DR

This paper introduces new constructions of Golay sequences and $4^q$-QAM Golay complementary sequences with large zero autocorrelation zones, enhancing synchronization and detection in communication systems.

Contribution

It presents novel methods for constructing Golay sequences and QAM Golay complementary sequences with large zero autocorrelation zones, applicable for improved system performance.

Findings

Sequences have large zero autocorrelation zones.

Improved synchronization and detection capabilities.

Potential for enhanced communication system performance.

Abstract

Sequences with good correlation properties have been widely adopted in modern communications, radar and sonar applications. In this paper, we present our new findings on some constructions of single $H$-ary Golay sequence and $4^q$-QAM Golay complementary sequence with a large zero autocorrelation zone, where $H\ge 2$ is an arbitrary even integer and $q\ge 2$ is an arbitrary integer. Those new results on Golay sequences and QAM Golay complementary sequences can be explored during synchronization and detection at the receiver end and thus improve the performance of the communication system.