DESIGN OF MULTIDIMENSIONAL SEPARABLE-DENOMINATOR DIGITAL-FILTERS IN THE SPATIAL DOMAIN

Based on a concept of minimal decomposition and balanced realization, a novel technique is developed for designing multidimensional (M-D) se parable-denominator digital filters in the spatial domain. This is don e by decomposing a desired M-D FIR filter into M parts and by represen ting it by a cascade connection of M 1-D filters. The minimal decompos ition treated here can be viewed as an extension of that in 2-D separa ble-denominator case in some sense. However, the proposed technique di ffers From the existing one even in 2-D case and is simpler. Two numer ical examples are also given to illustrate the utility of the proposed technique. The amount of calculation required here is relatively smal l and the stability of the filter is always guaranteed.