Pattern synthesis method for superdirective array antennas

The existing pattern synthesis method can't be used for Superdirective array antennas for they can't ensure the dominance of external noise as well as keep high array directivity. A new pattern synthesis method which can be applied to Superdirective arrays is presented. It can also be applied to arbitrary array geometries. The dominance of external noise is ensured by constraining the array efficiency, and the desired sidelobe level is achieved by implementing linear constraints through iteration. By optimizing the array directivity subject to array efficiency and sidelobe constraints, the highest possible directivity with controlled array efficiency and desired sidelobe level is achieved, and the requirement on Superdirective array synthesis is satisfied. The simulation results of different arrays show that the proposed method is very effective and flexible.