A modified hyperplane method for null synthesis in an array pattern

It has recently been shown by Prasad that the problem of synthesizing nulls in an array pattern admits a geometrical formulation for which the alternative orthogonal projection (AOP) algorithm (previously used in image restoration applications) is a useful solution. We apply a modification to the original AOP suggested by Ramakrishnam et al. for image restoration purposes and show that it results in a computational savings in array pattern synthesis problems. A numerical example is presented to illustrate the computational advantages of this modification.