The need of two dimensional (2-D) arrays with good 2-D correlation properties have been found of great interest in research because of the rapid development of the modern technologies in the field of wireless communications. 2-D arrays have found various applications wireless communication technologies such as ultra-wide band (UWB), 2-D synchronization, phased array antenna etc. In this paper, we propose a direct construction of 2-D Z-complementary array code set (ZCACS) by using multivariable function. For this purpose, we first proposed a construction of inter-group complementary (IGC) code set using multivariable function and use this construction to produce our desired 2-D ZCACS. The use of multivariable function enables us to set the size of the 2-D ZCACS to be $L_1 \times L_2$, where $L_1= 2^m$, $L_2= 2 p_1^{m_1} p_2^{m_2} \dots p_k^{m_k}$, $m \geq 1$ and $m_\alpha \geq 2$ for all $\alpha=1,2, \dots, k$, which is an improvement over the traditional generalized Boolean function that produces sequences of length of the form $2^m$.
翻译:由于无线通信领域现代技术的迅速发展,人们发现对研究非常感兴趣的需要两个维(2-D)阵列,因为无线通信领域现代技术的迅速发展。 2-D阵列发现各种应用无线通信技术,如超广频带(UWB)、2-D同步、分级阵列天线等。在本文件中,我们提议使用多种可变功能直接建造2-DZ(ZCACS)补充阵列数据集(ZCACS),为此,我们首先提议使用多种可变函数构建组间互补代码集(IGC),并使用这种构建来产生我们期望的2-D ZCACOS。使用多种可变功能使我们能够将 2-D ZCACS 的大小设为$_1\time L_2$, 其中$1=2m美元, $2=2 p_1 ⁇ m_1}p_2}p_2 ⁇ _m_1}p_2_m_2}\\\\\\\\\\\\\\\\\\d\dddocks p_k_m_k_k_k}$m_k_k_k_k_k_k_k_k}美元, $xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx