Linear program synthesis for direct broadcast satellite phased arrays

Synthesis based on sampling functions in fixed positions was used to optimize the radiation pattern of antenna phased arrays for direct broadcast satellite applications. The synthesis procedure described obtains the antenna excitations required to create a shaped sector beam which uniformly illuminates a desired region and minimizes the maximum sidelobe level. The method begins with the composing functions from Woodward-Lawson synthesis. By fixing the position of these functions, a simplex formulation can be used rather than iterative methods. The simplex formulation is more computer-efficient because the algorithm is guaranteed to converge. Examples of synthesis using this procedure are given