Time domain sensitivity of non linear circuits via wavelet transform

This paper addresses the sensitivity analysis of nonlinear circuits in their transient and periodic behavior. The circuits here considered are built of connections of N-ports described in the wavelet domain. The wavelet harmonic balance allows obtaining an effective tool for the analysis of these circuits when they are nonlinearly terminated. A significant increase in the sparsity of the matrices and a comparable accuracy and convergence with respect to the Fourier analysis is obtained. Furthermore by using the proper wavelet basis (periodized or not) is it possible to analyze steady state and transient behavior. The adjoint system method is used to obtain the sensitivity of the response of the circuit with respect to the design parameters.