Transfer Function Models for Multidimensional Systems

Multidimensional systems describe relations between signals depending on two or more independent variables, like time and space. They are also called distributed parameter systems. The only conventional model for their description are partial diierential equations. This is in contrast to onedimensional (lumped parameter) systems, where a variety of diierent models including transfer functions is used. This paper extends the concept of transfer function models to multidimensional systems. They are useful for system analysis and as a starting point for the derivation of discrete simulation models.