Two-Dimensional Z-Complementary Array Quads with Low Column Sequence PMEPRs

TL;DR

This paper introduces a novel design for 2D Z-complementary array quads with feasible sizes, providing bounded PMEPR for column sequences, which enhances their practical utility in applications requiring low power envelope signals.

Contribution

It proposes a new design strategy for 2D Z-complementary array quads with feasible sizes and derives upper bounds on their column sequence PMEPR, offering a practical alternative to existing array sets.

Findings

Constructed 2D-ZCAQs with bounded column PMEPR.

Derived upper bounds on column sequence PMEPR.

Potential application as alternative to 2D Golay array sets.

Abstract

In this paper, we first propose a new design strategy of 2D $Z$-complementary array quads (2D-ZCAQs) with feasible array sizes. A 2D-ZCAQ consists of four distinct unimodular arrays satisfying zero 2D auto-correlation sums for non-trivial 2D time-shifts within certain zone. Then, we obtain the upper bounds on the column sequence peak-to-mean envelope power ratio (PMEPR) of the constructed 2D-ZCAQs by using specific auto-correlation properties of some seed sequences. The constructed 2D-ZCAQs with bounded column sequence PMEPR can be used as a potential alternative to 2D Golay complementary array sets for practical applications