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An innovative methodology for the synthesis of sparse concentric-ring isophoric arrays matching a user-defined reference pattern is proposed. The synthesis problem is recast as a two-step approach firstly aimed at (a) determining the sparsest auxiliary layout of concentric current rings matching the reference pattern through a Bayesian compressive sensing method and successively (b) yielding the concentric-ring isophoric array by means of a density tapering technique. A selected set of numerical experiments is presented to provide some insights about the effectiveness, the numerical efficiency, and the flexibility of the proposed hybrid method.

The Bayesian compressive sensing (BCS) is applied to estimate the directions of arrival (DoAs) of narrow-band electromagnetic signals impinging on planar antenna arrangements. Starting from the measurement of the voltages induced at the output of the array elements, the performance of the BCS-based approach is evaluated when data are acquired at a single time instant and at consecutive time instants, respectively. Different signal configurations, planar array geometries, and noise conditions are taken into account, as well.

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