A method to find periodic solutions in nonautonomous nonlinear circuits using Haar wavelet transform

Abstract

Recently, much attention have been paid to the methods for circuit analysis using wavelet transform. In particular, we have proposed the method which can choose the resolution of the wavelet adaptively. This method can fully bring out the orthogonal and the multiresolution properties of the wavelet, and the efficiency of the calculation can be improved. In this paper, we propose the method to analyze the steady-state periodic solutions of the nonlinear circuits driven by the periodic external input using Haar wavelet transform by applying the appropriate boundary conditions, and prove the effectiveness of the proposed method.