ABSTRACT
In this chapter the 2-D discrete transfer function is defined through use of the convolution summation, as in the 1-D case, and methods for its derivation from a difference equation, a digital-filter network, or a state-space characterization are then described. Some of the properties of the discrete transfer function and its application to space-domain analysis and frequency-domain analysis are then considered. The transfer function of a 2-D digital filter is defined as the ratio of the z transform of the output to the z transform of the input. Evidently, the transfer function of a digital filter turns out to be the z transform of its impulse response, as in other types of systems. The most fundamental application of 2-D digital filters involves the manipulation of the frequency spectrum of a 2-D discrete signal.
