Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications
2012
Session Number:B1L-C
Session:
Number:316
Analysis Method for Steady-State Periodic Solutions in Periodically Driven Nonlinear Circuits using Haar Wavelet Transform
Seiichiro Moro,
pp.316-319
Publication Date:
Online ISSN:2188-5079
[1] A. Haar, “Zur Theorie der orthogonalem funktionen System,” Math. Ann., vol.69, pp.331-371, 1910.
[2] G. Strang, “Wavelet transforms versus Fourier Transforms,” Bull. Amer. Math. Soc., vol.28, no.2, pp.288-305, Apr. 1993.
[3] C.F. Chen and C.H. Hsiao, “Haar wavelet method for solving lumped and distributed-parameter systems,” IEE Proc. of Control Theory Appl., vol.144, no.1, pp.87-93, Jan. 1997.
[4] J.L. Wu, C.H. Chen, and C.F. Chen, “A model reduction via Haar wavelet,” Int. J Control and Intelligent Systems, vol.29, no.2, pp.29-32, 2001.
[5] C.F. Chen, Y.T. Tsay, and T.T. Wu, “Walsh operational matrices for fractional calculus and their application to distributed systems,” J. Franklin Institute, vol.303, no.3, pp.267-284, Mar. 1977.
[6] J.L. Wu, C.H. Chen, and C.F. Chen, “Numerical inversion of Laplace transform using Haar wavelet operational matrices,” IEEE Trans. Circuits Syst. I, vol.48, no.1, pp.120-122, Jan. 2001.
[7] D. Zhou, X. Li, W. Zhang and W. Cai, “Nonlinear circuit simulation based on adaptive wavelet method,” Proc. of IEEE International Symposium on Circuits and Systems (ISCAS'97), pp.1720-1723, June 1997.
[8] S. Barmada and M. Raugi, “A general tool for circuit analysis based on wavelet transform,” Int. J. Circuit Theory Appl., vol.28, no.5, pp.461-480, 2000.
[9] A. Ohkubo, S. Moro, and T. Matsumoto, “A method for circuit analysis using Haar wavelet transforms,” Proc. of IEEE Midwest Symposium on Circuits and Systems (MWSCAS'04), vol.3, pp.399-402, July 2004.
[10] M. Oishi, S. Moro, and T. Matsumoto, “A Method for Circuit Analysis using Haar Wavelet Transform with Adaptive Resolution,” Proc. of International Symposium on Nonlinear Theory and its Applications (NOLTA'08), pp.369-372, Sep. 2008.
[11] K.C. Tam, S.-C. Wong, and C.K. Tse, “An improved wavelet approach for finding steady-state waveforms of power electronics circuits using discrete convolution,” IEEE Trans. Circuits Syst.-II, vol.52, no.10, pp.690-694, Oct. 2005.