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A general tool for circuit analysis based on wavelet transform
Author(s) -
Barmada S.,
Raugi M.
Publication year - 2000
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/1097-007x(200009/10)28:5<461::aid-cta117>3.0.co;2-9
Subject(s) - wavelet , computer science , time domain , electrical network , algorithm , electronic circuit , wavelet transform , algebraic equation , network analysis , linear circuit , numerical analysis , matrix (chemical analysis) , node (physics) , multiplication (music) , mathematics , voltage , equivalent circuit , mathematical analysis , engineering , electrical engineering , nonlinear system , physics , materials science , structural engineering , quantum mechanics , artificial intelligence , combinatorics , composite material , computer vision
This paper deals with a generalized method for the time‐domain solution of electrical networks. The aim is to explore a new technique for the numerical simulation of circuits considering linear, time‐varying and non‐linear cases. By using the wavelet transform of the electrical quantities, differentiation and integration in the time domain are replaced by matrix multiplication. Then, the classical circuit differential equations obtained by mesh‐current, node‐voltage or state variables methods are transformed in algebraic equations. The numerical efficiency of wavelets makes the method effective for a fast and reliable numerical circuit simulation. Comparisons with analytical solutions and PSPICE simulations are presented in order to evaluate the numerical characteristics of the proposed method. Copyright © 2000 John Wiley & Sons, Ltd.