Multidimensional Transfer Function Models

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 i...

Swets & Zeitlinger Transfer Function Models for Multidimensional Systems with Bounded Spatial Domains (revised Version)

Multidimensional (MD) systems describe relations between signals depending on two or more independent variables. They are also called distributed parameter systems, if the independent variables are time and space. The only conventional models for their description are partial diierential equations. This is in contrast to onedimensional (lumped parameter) systems, where a variety of diierent mod...

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 tr...

Digest of IEE Coll. on Multidimensional Systems, London, 1998/225, pp. 1/1-1/7 TRANSFER FUNCTION MODELS OF MULTIDIMENSIONAL PHYSICAL SYSTEMS

Transfer functions models of linear systems are a well established tool for the design and analysis of one-dimensional systems. This is not the case for multidimensional physical systems, given in terms of initial boundary value problems. Here, the only mathematical description of widespread use are partial di erential equations. This contribution shows, how the one-dimensional transfer functio...

Turning Vector Partial Differential Equations into Multidimensional Transfer Function Models

Solution of vector partial differential equations by transfer function models

Transfer function models for the description of physical systems have recently been introduced to the field of multidimensional digital signal processing. They provide an alternative to the conventional representation by partial differential equations (PDE) and are suitable for computer implementation. This paper extends the transfer function approach to vector PDEs. They arise from the physica...