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The Composition Rule for Multivariate Volterra Operators and its Application to Circuit Analysis

Koeppl, H. (2007)
The Composition Rule for Multivariate Volterra Operators and its Application to Circuit Analysis.
2007 IEEE International Symposium on Circuits and Systems.
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

The work generalizes the composition rule for single-input-single-output Volterra operators to the multivariate case applying the Kronecker product formalism. The formalism allows a compact description of the composition of such operators. The composition of multivariate functions is briefly discussed and represents the starting point of the analysis. Based on the derived composition rule, a novel nonlinear generalization of the classical modified nodal analysis (MNA) is introduced, namely the multilinear MNA. It allows to automatically extract the higher order frequency domain Volterra kernels of a weakly nonlinear analog circuit and just involves sparse matrix multiplications and Kronecker products

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2007
Autor(en): Koeppl, H.
Art des Eintrags: Bibliographie
Titel: The Composition Rule for Multivariate Volterra Operators and its Application to Circuit Analysis
Sprache: Englisch
Publikationsjahr: Mai 2007
Verlag: IEEE
Veranstaltungstitel: 2007 IEEE International Symposium on Circuits and Systems
URL / URN: http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumbe...
Kurzbeschreibung (Abstract):

The work generalizes the composition rule for single-input-single-output Volterra operators to the multivariate case applying the Kronecker product formalism. The formalism allows a compact description of the composition of such operators. The composition of multivariate functions is briefly discussed and represents the starting point of the analysis. Based on the derived composition rule, a novel nonlinear generalization of the classical modified nodal analysis (MNA) is introduced, namely the multilinear MNA. It allows to automatically extract the higher order frequency domain Volterra kernels of a weakly nonlinear analog circuit and just involves sparse matrix multiplications and Kronecker products

Fachbereich(e)/-gebiet(e): 18 Fachbereich Elektrotechnik und Informationstechnik
18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik > Bioinspirierte Kommunikationssysteme
18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik
Hinterlegungsdatum: 04 Apr 2014 12:31
Letzte Änderung: 23 Sep 2021 14:32
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