School of Information and Electronics, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, Beijing 100081, China.
Sensors (Basel). 2018 Sep 7;18(9):2988. doi: 10.3390/s18092988.
Recently, the concept of the difference and sum co-array (DSCa) has attracted much attention in array signal processing due to its high degree of freedom (DOF). In this paper, the DSCa of the nested array (NA) is analyzed and then an improved nested configuration known as the diff-sum nested array (DsNA) is proposed. We find and prove that the sum set for the NA contains all the elements in the difference set. Thus, there exists the dual characteristic between the two sets, i.e., for the difference result between any two sensor locations of the NA, one equivalent non-negative/non-positive sum result of two other sensor locations can always be found. In order to reduce the redundancy for further DOF enhancement, we develop a new DsNA configuration by moving nearly half the dense sensors of the NA to the right side of the sparse uniform linear array (ULA) part. These moved sensors together with the original sparse ULA form an extended sparse ULA. For analysis, we provide the closed form expressions of the DsNA locations as well as the DOF. Compared with some novel sparse arrays with large aperture such as the NA, coprime array and augmented nested array, the DsNA can achieve a higher number of DOF. The effectiveness of the proposed array is proved by the simulations.
最近，由于自由度（DOF）高，差分和和阵列（DSCa）的概念在阵列信号处理中引起了广泛关注。在本文中，分析了嵌套阵列（NA）的 DSCa，然后提出了一种称为差分和嵌套阵列（DsNA）的改进嵌套配置。我们发现并证明了 NA 的和集包含差集的所有元素。因此，这两个集合之间存在对偶特性，即对于 NA 中任意两个传感器位置之间的差分结果，总能找到另两个传感器位置的等效非负/非正和结果。为了进一步提高自由度（DOF），减少冗余，我们通过将 NA 的近一半密集传感器移动到稀疏均匀线性阵列（ULA）部分的右侧，开发了一种新的 DsNA 配置。这些移动的传感器与原始稀疏 ULA 一起构成了扩展稀疏 ULA。为了进行分析，我们提供了 DsNA 位置的闭式表达式以及自由度（DOF）。与一些具有大孔径的新型稀疏阵列，如 NA、互质阵列和增强型嵌套阵列相比，DsNA 可以实现更高的自由度（DOF）。通过仿真验证了所提出的阵列的有效性。
