Chapter 1. Multi-Dimensional Signals and Systems
There are some fundamental differences between the theory of one-dimensional and multi-dimensional signal processing that arise from the related facts that zeros and poles of the multi-dimensional z-transform are not isolated points but functions, and multi-variable polynomials in general do not factor.
The theory of multi-dimensional (MD) signals and systems is fundamental to understanding digital image and video processing. Digital images are two-dimensional (2D) sequences (partially ordered) with two discrete spatial variables; they can also be represented by arrays (vectors or matrices). Digital video is a three-dimensional (3D) function of two spatial and one temporal variable, and 3D video ...
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