Shaped Power Pattern Synthesis of Linear Sparse Arrays with A Novel Hybrid Method

This paper proposes a hybrid algorithm for the synthesis of linear array with shaped beam and directivity gain constraints. The static and dynamic convex optimization(SADCP) is used to achieve a high performance on sidelobe level(SLL), null level, directivity gain and excitation control. In order to reduce the number of elements, matrix pencil method is used to get a sparse solution based on the results given by SADCP. Numerical examples are provided to show universality and high efficiency of the proposed method.