ABSTRACT

Mutual coupling effect and degrees of freedom (DOFs) play a crucial role in the sparse array design. In this paper, we judiciously configure the dense subarray and sparse subarray of the nested coprime array with displaced subarrays (NCADiS) to obtain an improved NCADiS (INCADiS). Then, the dense subarray of the INCADiS is split into two parts and rearranged on the left and right sides of the sparse subarray of the INCADiS to structure an augmented nested coprime array with displaced subarrays (ANCADiS). We also derive the closed-form expressions for the element locations and the number of uniform DOFs (uDOFs) of the ANCADiS configurations with any number of elements. The proposed array configuration has the same uDOFs as the INCADiS and the prototype optimised NCADiS (PNCADiS), and at the same time achieves reduced mutual coupling. Some theoretical properties are proved, and numerical simulations are included to verify the superiority of the proposed configuration.

摘要

互耦合效应和自由度 (DOF) 在稀疏阵列设计中起着至关重要的作用。在本文中，我们明智地配置嵌套互素数组的密集子数组和稀疏子数组与置换子数组 (NCADiS)，以获得改进的 NCADiS (INCADiS)。然后，将 INCADiS 的密集子阵列分成两部分，并在 INCADiS 的稀疏子阵列的左右两侧重新排列，以构建具有位移子阵列的增广嵌套互质阵列（ANCADiS）。我们还导出了元素位置的封闭形式表达式和具有任意数量元素的 ANCADiS 配置的统一自由度 (uDOF) 的数量。所提出的阵列配置具有与 INCADiS 和原型优化的 NCADiS (PNCADiS) 相同的 uDOF，同时实现了减少的互耦合。