Abstract

Different kinds of two-dimensional recursive filters are used in signal processing and pro-imagining processing process and communication systems where flexible frequency responses of the digital filters are necessitated. The focal intention of this thesis has been to propose a technique of designing different kinds of 2-D recursive filters with adaptable properties. From the 2-variable existing VSHP (Very Strictly Hurwitz Polynomial), a 2-D digital transfer function has been obtained through the application of the double generalized bilinear transformations with some changeable coefficients. 2-D LPF and 2-D HPF are designed from this 2-D transfer function, and the frequency response of either of them changes when one or more of these coefficients change. Other two important types of 2-D digital filters, 2-D band-pass filters and 2-D band-elimination filters could also be achieved by combining a 2-D LPF and a 2-D HPF. One of them, 2-D band-pass recursive filter has been designed in this thesis work. The manner how each coefficient of the designed filters affects the frequency response is analyzed in detail with simulation results--3-D amplitude plots and 2-D contour plots. We also derived required constrains for each case to obtain a stable response