A tutorial on the representation of two-dimensional wave fields by multidimensional signals

The representation of information by waves is common to many fields in engineering and physics like electromagnetism, acoustics, and optics. Many different tools for the description of wave-like signals have been developed. Most of them are based on methods and results from mathematical physics with different viewpoints according to the specific application areas. This tutorial presents a framework for some of the most common of these representations. It is based on well-known transform domain signal descriptions from multidimensional systems theory.