An Off-grid Compressed Sensing Method for the Synthesis of Sparse Concentric Ring Arrays

A novel method based on off-grid Compressed Sensing (CS) is proposed for the synthesis of sparse concentric ring arrays with the desired patterns. The synthesis is formulated as a sparse signal recovery problem with an unknown parametric dictionary by treating the concentric ring radii and weights as optimization variables. The proposed method allows the sparse rings to randomly distribute in the array aperture so as to find the true positions and overcome the grid mismatch compared to the traditional CS-based method. Numerical simulations are presented to validate the effectiveness of the proposed method.