In this letter, a novel nested array is proposed which not only increases the degrees of freedom (DOF) but also reduces the mutual coupling that occurs in the general nested array structure by moving the original array only half wavelength. Here we deal with real-valued sources like AM or BPSK whereby we can explore the property of the sum coarray along with the difference coarray of the synthetic array (SA). It is assumed that the sensing environment does not change over the array motion of half wavelength. First, we develop the novel nested array and prove that the sum difference coarray (SDCA) of SA is hole-free up to a certain number. Then we provide closed-form expressions for the number of unique and consecutive lags of the SDCA of SA. We also optimize the array for a given number of sensors. Simulation results show the superiority of the proposed array over other existing arrays.

中文翻译：

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利用数组运动的实值源的新型嵌套数组


在这封信中，提出了一种新颖的嵌套阵列，它不仅增加了自由度（DOF），而且通过仅移动原始阵列半个波长来减少一般嵌套阵列结构中出现的互耦合。在这里，我们处理实值源，例如 AM 或 BPSK，从而可以探索和协阵列以及合成阵列 (SA) 的差协阵列的属性。假设传感环境在半波长的阵列运动中不发生变化。首先，我们开发了新颖的嵌套数组并证明SA的和差协数组（SDCA）在一定数量内是无空洞的。然后我们为 SA 的 SDCA 的唯一且连续的滞后数提供封闭式表达式。我们还针对给定数量的传感器优化了阵列。仿真结果表明所提出的阵列相对于其他现有阵列的优越性。