Constrained optimisation techniquefor general array pattern synthesis

A new technique for controlling the sidelobe level for general array pattern synthesis is presented. The basic idea is to introduce a weighting function to the performance index based on the integral of the power response over the sidelobe regions. This function more heavily weights the array power response further away from the mainlobe, so that in the minimisation of the integral of the weighted power response over the sidelobe regions, very low sidelobes can be achieved. The resulting beam pattern is highly directional. Numerical results show that the proposed technique is very effective for general array geometry sidelobe control design.