论文名称为“Design of Aperiodic Subarrayed Phased Arrays With Structural Repetitiveness”。 为了消除子阵化相控阵的栅瓣，现有的方法主要是利用多种形状的子阵组成不规则的子阵布局,以打破子阵拓扑的周期性。然而，不规则的子阵布局破坏了结构重复性，导致很高的设计复杂度。针对这一问题，本工作提出了一种全新的非周期子阵化相控阵设计方法，其可以在打破子阵拓扑周期性的同时保留结构重复性。具体而言，本工作对一个规则子阵馈以非对称的相位，然后通过复制和随机翻转这个具有不对称馈电相位的规则子阵，组成了一个新的规则子阵布局。由于非对称馈电相位的存在，子阵拓扑的周期性被成功破坏；由于所有子阵都复制于同一个具有不对称馈电相位的规则子阵，结构重复性也被成功保留。进一步，为了增强波束扫描能力，本工作还提出了非周期性最大化模型对所提出的具有不对称馈电相位的规则子阵布局进行优化。数值结果表明，由于实现了非周期性最大化，本工作所提出的具有不对称馈电相位的规则子阵布局与不规则子阵布局相比可以将波束扫描范围扩大10°。此外，由于具备结构重复性，对于16 × 16的阵列，本工作所提出的具有不对称馈电相位的规则子阵布局可以将设计复杂度降低至不规则子阵布局的设计复杂度的1/64。工作主要完成人牟伦位、程钰间。

论文链接：https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9908460

Abstract—To eliminate the grating lobes of subarrayed phased arrays, the state-of-the-art methods mainly use subarrays of various shapes to make up an irregular subarray tiling configuration (irRSTC), so as to break the periodicity of the subarray tiling configuration. However, it leads to high design complexity due to the lack of structural repetitiveness. Different from the previous idea, the periodicity of the subarray tiling configuration is broken by introducing asymmetrical feeding phase into subarrays in this paper. Specifically, a regular subarray tiling configuration (RSTC) is proposed, and it is obtained by replication and flipping of a regular subarray with asymmetrical feeding phase. In this way, the structural repetitiveness is achieved, while the periodicity of the RSTC is broken. Furthermore, to enhance the beam scanning ability, the aperiodicity of the RSTC is maximized by minimizing the predictability of the RSTC, based on the anti-correlation relationship between the aperiodicity and the predictability. Numerical results show that compared with the irRSTC, the proposed RSTC can expand the beam scanning range by 10° and improve the directivity of larger angle scanning by 2.9 dB only at an expense of 1.9 dB reduction at the boresight. Besides, the design complexity of the proposed RSTC is reduced to 1/64 of that of the irRSTC for a 16 × 16 array.

Index Terms—Aperiodicity, invasive weed optimization (IWO) algorithm, predictability, structural repetitiveness, subarray tiling configuration.