Sensor arrays play a significant role in direction of arrival (DOA) estimation. Specifically, arrays with low redundancy and reduced mutual coupling are desirable. In this paper, we investigate a sensor array configuration that has a restricted sensor spacing and propose a closed-form expression. We also propose several classes of low redundancy (LR) arrays. Interestingly, compared with super nested arrays (SNA) and maximum inter-element spacing constraint (MISC) arrays, one of the proposed arrays has a significant reduction in both redundancy ratio and mutual coupling. Numerical simulations are also conducted to verify the superiority of the proposed array over the known sparse arrays in terms of weight functions, mutual coupling matrices as well and DOA estimation performance.

翻译：传感器阵列在波达方向（DOA）估计中发挥着重要作用，其中低冗余和弱互耦的阵列尤为理想。本文研究了一种具有约束阵元间距的传感器阵列配置，并提出了闭式表达式。此外，我们提出了几类低冗余（LR）阵列。值得关注的是，与超嵌套阵列（SNA）和最大阵元间距约束（MISC）阵列相比，所提出的阵列在冗余比和互耦方面均显著降低。数值仿真也验证了所提阵列在权函数、互耦矩阵及DOA估计性能方面优于已知稀疏阵列。