Multidimensional transfer function models

Rabenstein R, Trautmann L (2002)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2002

Journal

Book Volume: 49

Pages Range: 852-861

Journal Issue: 6

DOI: 10.1109/TCSI.2002.1010040

Abstract

Transfer functions are a standard description of one-dimensional linear and time-invariant systems. They provide an alternative to the conventional representation by ordinary differential equations and are suitable for computer implementation. This article extends that concept to multidimensional (MD) systems, normally described by partial differential equations (PDEs). Transfer function modeling is presented for scalar and for vector PDEs. Vector PDEs contain multiple dependent output variables, e.g., a potential and a flux quantity. This facilitates the direct formulation of boundary and interface conditions in their physical context. It is shown how carefully constructed transformations for the space variable lead to transfer function models for scalar and vector PDEs. They are the starting point for the derivation of discrete models by standard methods for one-dimensional systems. The presented functional transformation approach is suitable for a number of technical applications, like electromagnetics, optics, acoustics and heat and mass transfer.

Authors with CRIS profile

How to cite

APA:

Rabenstein, R., & Trautmann, L. (2002). Multidimensional transfer function models. IEEE Transactions on Circuits and Systems I-Regular Papers, 49(6), 852-861. https://dx.doi.org/10.1109/TCSI.2002.1010040

MLA:

Rabenstein, Rudolf, and Lutz Trautmann. "Multidimensional transfer function models." IEEE Transactions on Circuits and Systems I-Regular Papers 49.6 (2002): 852-861.

BibTeX: Download