Matrix pseudo-inversion technique for the diagnostics of planar arrays

It is shown here, by numerical simulation, that the Moore¿Penrose matrix pseudo¿inversion technique can be applied to retrieve the excitation distribution of a planar array of parallel dipoles with faulty elements, by measuring its near zone complex radiated field at discrete points. Failures on voltages and currents of several elements, as well as systematic amplitude or random (in amplitude or phase) measurement errors, are considered in the simulation. In all cases, mutual coupling between dipoles is taken into account. The scanning surfaces selected to obtain the field values are those customarily used in practical measurement systems: a plane (parallel to the array), a hemicylinder and a hemisphere. The technique can be used as a very reliable alternative for diagnostics of planar arrays in general, and of planar arrays of dipoles in particular. Several examples are worked out, and their results are presented throughout this paper.