A two-parameter class of Bessel weightings for spectral analysis or array processing--The ideal weighting-window pairs

A unified theory for array processing in 1, 2, or 3 dimensions is pointed out and illustrated by a two-parameter class of Bessel weightings. This class subsumes the
I_{0}-\sinh
weighting-window pair as well as the ideal space factor of van der Maas in one dimension. The weightings that realize the ideal space factor in 2 and 3 dimensions are generalized functions more singular than the delta function required in 1 dimension.