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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.
pp. 441-444, IEEE, 2007 IEEE International Symposium on Circuits and Systems, [Conference or Workshop Item]

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

Item Type: Conference or Workshop Item
Erschienen: 2007
Creators: Koeppl, H.
Title: The Composition Rule for Multivariate Volterra Operators and its Application to Circuit Analysis
Language: English
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

Publisher: IEEE
Divisions: 18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications > Bioinspired Communication Systems
18 Department of Electrical Engineering and Information Technology
18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications
Event Title: 2007 IEEE International Symposium on Circuits and Systems
Date Deposited: 04 Apr 2014 12:31
Official URL: http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumbe...
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