  This work presents a method for estimation of the acoustic intensity, the
energy density and the associated sound field diffuseness around the origin,
when the sound field is weighted with a spatial filter. The method permits
energetic DOA estimation and sound field characterization focused in a specific
angular region determined by the beam pattern of the spatial filter. The
formulation of the estimators is presented and their behavior is analyzed for
the fundamental cases useful in parametric sound field models of a single plane
wave, a uniform diffuse field and a mixture of the two.
