Construction of 2D Filters for Digital Signal and Image Processing on Basis of the Kravchenko Weight Functions and R-Operations in Millimeter Range

Various two-dimensional weight functions (windows) are applied to processing and the analysis of radar images in millimeter range. For construction of two-dimensional filters it is necessary to synthesize them on some basic areas which geometry has essential value. It influences physical characteristics of filters, and also results of processing of multivariate signals. We shall notice, that classical methods allow to synthesize 2D filters only on the elementary basic areas. On the basis of the theory of R-functions it is possible to describe the equation of basic area of the reference areas of the any shape at an analytical level. Such approach allows to build two-dimensional weight functions (windows) on reference areas of non-standard geometry.