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

翻译：本文首先提出了一种具有可行阵列尺寸的二维Z互补阵列四元组（2D-ZCAQs）新设计策略。该2D-ZCAQ由四个不同的单模阵列组成，这些阵列在特定区域内的非平凡二维时移下满足二维自相关和为零。随后，通过利用某些种子序列的特定自相关特性，我们获得了所构造2D-ZCAQs的列序列峰均包络功率比（PMEPR）的上界。所构造的具有有界列序列PMEPR的2D-ZCAQs可作为二维Golay互补阵列集合在实际应用中的潜在替代方案。