Title :
A method for circuit analysis using Haar wavelet transform
Author :
Ohkubo, Akira ; Moro, Seiichiro ; Matsumoto, Tadashi
Author_Institution :
Dept. of Electr. & Electron. Eng., Fukui Univ., Japan
Abstract :
In this paper, we propose a method to analyze circuits using Haar wavelet transform. Recently, the method to analyze the circuit using Daubechies wavelets has been proposed. Then a Fourier-like approach as well as Laplace-like one for the solutions of transient problems by an algebraic system of equations is obtained and numerical time stepping is avoided. In that method, the matrices to express the integral and derivative are not easy to handle. In the proposed method, we can easily treat such matrices, thus the calculation and its comprehension become easier at the expense of more number of bases.
Keywords :
Fourier transforms; Haar transforms; Laplace transforms; matrix algebra; network analysis; wavelet transforms; Daubechies wavelets; Fourier like method; Haar wavelet transform; Laplace like method; algebraic system; circuit analysis; matrix algebra; Circuit analysis; Discrete wavelet transforms; Fourier transforms; Frequency domain analysis; Integral equations; Laplace equations; Nonlinear circuits; Signal processing; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on
Print_ISBN :
0-7803-8346-X
DOI :
10.1109/MWSCAS.2004.1354379