Transfer Function Models for Multidimensional Systems

Abstract

. 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 differential equations. This is in contrast to onedimensional (lumped parameter) systems, where a variety of different 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. Introduction Continuous systems can be divided into systems with states depending on either one or more than one independent variables. In many physical and technical applications these are the time coordinate or the time and space coordinates. These systems are called one- and multidimensional systems, respectively. Onedimensional systems with time as the only independent variable are al..