Generalized array pattern synthesis by the method of alternating orthogonal projections

A geometric formulation of the "null-steering" array antenna pattern synthesis problems for arbitrary array geometries is proposed. The formulation allows the use of some simple intuitive techniques for the construction of the array weights. In particular it is shown that the optimum weight vector can be obtained in an appropriately selected "weight vector subspace" via a recursive projection algorithm starting from its known projection on the vector lying in the constrained "look direction." The algorithm is computationally very simple and can be used for on-line solution of synthesis problems for complex array geometries.