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.

翻译：近年来，二维（2D）阵列码在无线通信领域展现出应用前景。本文提出一种基于多变量函数（MVF）的二维完全互补码（2D-CCC）直接构造方法，可实现任意阵列尺寸与灵活集大小。文中深入分析了所构造2D-CCC阵列行序列与列序列的峰均包络功率比（PMEPR）特性。与现有工作相比，该构造方法在参数性能上实现了对Golay互补对（GCP）、一维（1D）-CCC、二维Golay互补阵列集（2D-GCAS）及2D-CCC等最新技术的推广与优化。