Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:2-1-1
Session:
Number:2-1-1-1
Algorithms for the Efficient Computation and Application of Volterra Kernels in the Behavior Analysis of Periodically Excited Nonlinear Dynamical Circuits and Systems
Andreas Bauer, Wolfgang Schwarz,
pp.509-512
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
This paper provides an overview about a class of recently developed algorithms for the computation, handling and application of Volterra Series in the analysis of nonlinear circuits and systems. The idea of the presented methods in based on the representation of products of exponential functions by multi-indexes. It is illustrated how these multi-indexes enable efficient operations without tedious formula manipulations for the computation and application of Volterra Kernels in the behavior description and analysis of nonlinear dynamical circuits and systems. An implemtation of a program toolbox framework in Mathematica and C is presented in brief.