Robust Superdirectivity and Its Implementation Method for Circle-Like Sensor Arrays

Superdirectivity enables compact arrays to achieve high directivity, but its practical implementations are highly sensitive to physical imperfections. This lack of robustness hinders the realization of theoretical performance and limits applicability in the complex array topology. In this article, we define a class of center-symmetric circle-like sensor arrays that support complex configurations, including multilayer nesting and nonuniform subarrays. This geometric structure confers favorable mathematical properties, providing a tractable theoretical framework for implementing superdirectivity and giving a perspective for large-scale array design. For circle-like arrays, the optimal superdirectivity solution is decomposed into subcomponents exhibiting distinct directivity and robustness through discrete Fourier transform. These subcomponents can be recombined to achieve user-defined directivity or robustness, enabling the synthesis of robust superdirective beampatterns. Numerical simulations and experimental results confirm the efficacy of the proposed method, demonstrating good performance under real-world conditions.