2-D Periodically Shift Variant Filters Without Multipliers

摘要

Two dimensional (2-D) recursive digital filters are considered for design with power-of-two coefficients. The second model of Fornasini-Marchesini (FM) is used for the design. Given a 2-D state-space filter, a design methodology is established for a 2-D periodically shift variant (PSV) filter with power-of-two coefficients. The resulting multiplierless filter has a frequency response that is closely matched to that of the desired filter.