二维四元零相关区周期互补阵列集构造法

基于二维二元周期互补阵列集和移位序列，利用逆Gray映射，提出了一类二维四元零相关区周期互补阵列集的构造方法。获得的阵列集由多个四元零相关区周期互补阵列子集组成，不同子集之间具有完全正交互补特性。本文的构造方法可分别对阵列的行列进行移位，能够获得具有不同参数形式的二维四元零相关区周期互补阵列集。同时行(列)方向上的零相关区长度可以灵活设置，从而能获得不同的移位序列集，构造出多个二维四元零相关区周期互补阵列集。构造结果表明，本文方法可有效地增加工程应用所需的阵列信号。

Construction of two-dimensional quaternary periodic complementary array sets with zero correlation zone

Based on two-dimensional (2-D) binary periodic complementary array set (PCAS) and shift sequence, a 2-D quaternary PCAS with zero correlation zone (ZCZ) is constructed by using inverse Gray mapping. The proposed array sets comprise a number of subsets, and each subset is a quaternary ZCZ periodic complementary array set (ZPCAS), different array subsets are orthogonal complementary. The shift operation can be performed in the row or column of the array, which leads to more 2-D quaternary ZPCASs with different parameters. Meanwhile, because of freely choosing the parameters of the corresponding row (column) of the rectangular ZCZ, different shift sequence sets can be obtained, and thereby more proposed array sets can be constructed. Construction results illustrate that the proposed method effectively increases the number of array signals in practical application.