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Abstract and Applied Analysis
Volume 2014, Article ID 634974, 6 pages
Research Article

Comparison Analysis Based on the Cubic Spline Wavelet and Daubechies Wavelet of Harmonic Balance Method

School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China

Received 25 January 2014; Revised 25 March 2014; Accepted 5 April 2014; Published 22 April 2014

Academic Editor: Eugene B. Postnikov

Copyright © 2014 Jing Gao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper develops a theoretical analysis of harmonic balance method, based on the cubic spline wavelet and Daubechies wavelet, for steady state analysis of nonlinear circuits under periodic excitation. The properties of the resulting Jacobian matrix for harmonic balance are analyzed. Numerical experiments illustrate the theoretical analysis.