A system-oriented convex beam synthesis

This paper presents a system-oriented convex optimization framework for beam synthesis problems for both uniform and non-uniform arrays in smart antenna applications. The signal propagation through different antenna elements is modeled by the Padé approximation. The array linear system model is used to formulate a semi-definite convex formulation to optimize the antenna weight coefficients. The numerical solutions demonstrate the efficiency of the proposed approach. Furthermore, the proposed convex framework solves a currently non-convex beam synthesis problem for non-uniform antenna arrays, yields low computational complexity and maintains the highest possible degrees of freedom.