A Simplified Design of Multidimensional Transfer Function Models

Multidimensional transfer functions are an effective description of physical systems with time and space as independent variables. They allow to construct discrete models which are suitable for computer implementation. The derivation of multidimensional transfer functions is straightforward for systems with self-adjoint spatial operators. It is based on the application of suitable functional transformations for the time and space variables. For the more general case of non self-adjoint operators the derivation is more involved. Here two different types of eigenvalue problems have to be considered, which lead to a suitable spatial transformation and its inverse. In this contribution, the relations between these two eigenvalue problems are explored. By deriving some principal properties, a simplified design procedure for the resulting multidimensional transfer function models is given.