A Direct Construction of 2D-CCC with Arbitrary Array Size and Flexible Set Size Using Multivariable Function

TL;DR

This paper introduces a new method for constructing 2D complete complementary codes with arbitrary sizes using multivariable functions, enhancing flexibility and generalizing previous designs in wireless communication applications.

Contribution

The paper presents a direct construction method for 2D-CCCs with arbitrary array and set sizes using multivariable functions, unifying and extending existing code families.

Findings

Constructed 2D-CCCs with arbitrary array sizes.

Analyzed PMEPR properties of the sequences.

Generalized existing code constructions with improved parameters.

Abstract

Recently, two-dimensional (2D) array codes have been found to have applications in wireless communication.In this paper, we propose direct construction of 2D complete complementary codes (2D-CCCs) with arbitrary array size and flexible set size using multivariable functions (MVF). The Peak-to-mean envelope power ratio (PMEPR) properties of row and column sequences of the constructed 2D-CCC arrays are investigated. The proposed construction generalizes many of the existing state-of-the-art such as Golay complementary pair (GCP), one-dimensional (1D)-CCC, 2D Golay complementary array set (2D-GCAS), and 2D-CCC with better parameters compared to the existing work.