Steady-State Analysis of Multitone Nonlinear Circuits in Wavelet Domain

Abstract

This paper introduces a new approach to steady-state analysis of nonlinear microwave circuits under periodic excitation. The new method is similar to the well-known technique of harmonic balance, but uses wavelets as basis functions instead of Fourier series. Use of wavelets allows significant increase in sparsity of the equation matrices and, consequently, decrease in CPU cost and storage requirements, while retaining accuracy and convergence of the traditional approach. The new method scales linearly with the size of the problem and is well suited for simulations of highly nonlinear, multitone, and broad-band circuits.