Solution of vector partial differential equations by transfer function models

Conference contribution
(Original article)


Publication Details

Author(s): Rabenstein R, Trautmann L
Publisher: IEEE
Publication year: 1999
Volume: 5
Pages range: 21-24


Abstract


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 physical analysis of multidimensional systems in terms of potential and flux quantities. Expressing the resulting coupled PDEs in vector form facilitates the direct formulation of boundary and interface conditions in their physical context. It is shown how a carefully constructed transformation for the space variable leads to transfer function models for 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.



FAU Authors / FAU Editors

Rabenstein, Rudolf Prof. Dr.
Lehrstuhl für Multimediakommunikation und Signalverarbeitung


How to cite

APA:
Rabenstein, R., & Trautmann, L. (1999). Solution of vector partial differential equations by transfer function models. In Proceedings of the Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, ISCAS '99 (pp. 21-24). Orlando, FL, US: IEEE.

MLA:
Rabenstein, Rudolf, and Lutz Trautmann. "Solution of vector partial differential equations by transfer function models." Proceedings of the Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, ISCAS '99, Orlando, FL IEEE, 1999. 21-24.

BibTeX: 

Last updated on 2019-03-06 at 07:09