Multi-resolution based sensitivity analysis of complex non-linear circuits

This study addresses the sensitivity analysis of non-linear circuits in their transient and periodic behaviour. The circuits here considered are built of connections of N-ports with frequency-dependent parameters whose input and output quantities are expanded in the wavelet domain. The use of wavelet instead of the Fourier analysis allows a significant increase in the sparsity of the matrices with a comparable accuracy and convergence rate. In addition, by using the proper wavelet basis, it is possible to analyse both the steady state ...