The two-dimensional (2-D) Z-complementary array pair (ZCAP) can be viewed as an extension of the well-known one-dimensional (1-D) Z-complementary pair (ZCP). To date, most constructions of 2-D ZCAPs are indirect and based on existing 1-D sequences or 2-D arrays. In this letter, a new direct construction of 2-D ZCAPs with flexible array sizes based on 2-D generalized Boolean functions is proposed. Compared with the state-of-the-art method, the proposed 2-D ZCAPs have larger 2-D zero correlation zone (ZCZ) sizes and more flexible array sizes. Furthermore, the peak-to-average power ratio of column sequences of the proposed 2-D ZCAPs is analyzed and upper bounded by 2.

中文翻译：

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一种具有大零相关区的二维Z-互补阵列对的新构造

二维 (2-D) Z 互补阵列对 (ZCAP) 可以被视为众所周知的一维 (1-D) Z 互补阵列对 (ZCP) 的扩展。迄今为止，大多数二维 ZCAP 的构造都是间接的，并且基于现有的一维序列或二维阵列。在这封信中，提出了一种基于二维广义布尔函数的具有灵活阵列大小的二维 ZCAP 的新直接构造。与最先进的方法相比，所提出的二维 ZCAP 具有更大的二维零相关区 (ZCZ) 大小和更灵活的阵列大小。此外，分析了所提出的二维 ZCAP 的列序列的峰均功率比，上限为 2。