Wide-Beam Power Gain Pattern Synthesis With Accurate Sidelobe Control for Phase-Only Linear arrays

This letter investigates the wide-beam power gain pattern synthesis (PGPS) with accurate sidelobe control of phase-only linear arrays by maximizing the minimum power gain of mainlobe region. The resultant problem is greatly intractable due to plentiful nonconvex fractional constraints and unimodular constraints. To address this issue, we convert each fractional constraint into a convex one via iterative convex enhancement and tackle the unimodular constraints by leveraging the penalty convex-concave procedure method. The original problem is then translated into a series of constrained convex subproblems which are easy to solve. Numerical results illustrate that the proposed method has superior performance of mainlobe power gain to typical shaped beam pattern synthesis (SBPS) methods, and the power gain loss yielded by the phase-only transmitting seems acceptable compared to the corresponding digital array.