Synthesis of Uniformly Weighted Sparse Concentric Ring Arrays Based on Off-Grid Compressive Sensing Framework

In this letter, a method is proposed for synthesizing sparse concentric ring arrays that use a minimum number of uniformly excited aperiodic concentric rings to match a predefined reference pattern. An auxiliary layout of concentric rings based on the Bessel function approximation of the circular array pattern is first synthesized using the off-grid compressive sensing framework and convex optimization to match the reference pattern using a minimum number of rings. Then, a density tapering technique is used to replace each ring with a ring of uniformly spaced isotropic radiating elements. Simulations were carried out to assess the effectiveness of the proposed method.