Synthesis of Maximum-Efficiency Beam Arrays via Convex Programming and Compressive Sensing

The power synthesis of maximally sparse arrays such to maximize the beam efficiency over a target region Ω is addressed. In particular, Ω is the unique input parameter of the proposed design procedure, and once it has been fixed, the approach allows identifying the minimum number of elements required to achieve inside it a beam efficiency close to the theoretical maximum. The problem is cast as a convex programming one that exploits at best the compressive sensing theory. Comparisons to state-of-the-art methods are provided.