A new methodology for the design of isophoric thinned arrays with a priori controlled pattern features is introduced. A fully analytical and general (i.e., valid for any lattice and set of weights) relationship between the autocorrelation of the array excitations and the power pattern samples is first derived. Binary 2-D sequences with known autocorrelation properties, namely the difference sets (DSs), are then chosen as a representative benchmark to prove that it is possible to deduce closed-form synthesis formulas that a priori guarantee to fit requirements on the sidelobe level (SLL), the directivity, the half-power beamwidth, and the power pattern in user-defined directions. The selected results from a wide numerical assessment, which also includes full-wave simulations with realistic radiators, are illustrated to validate the reliability and the accuracy of the proposed design equations and the associated performance bounds.

中文翻译：

---

自相关驱动的天线阵列综合——基于DS的平面等斜减薄阵列的案例

介绍了一种设计具有先验控制图案特征的等量细化阵列的新方法。首先推导出阵列激励的自相关和功率模式样本之间的完全分析和一般（即，对任何晶格和权重集有效）关系。然后选择具有已知自相关特性的二进制 2-D 序列，即差分集 (DS) 作为代表性基准，以证明可以推导出先验保证满足旁瓣级别要求的闭式合成公式（ SLL)、方向性、半功率波束宽度和用户定义方向上的功率方向图。从广泛的数值评估中选出的结果，其中还包括使用真实辐射器的全波模拟，