Wavelet-based adaptive simulation of nonuniform interconnects with arbitrary loads

This paper presents a wavelet-based adaptive discretization of the nonuniform multiconductor transmission lines. The resulting numerical scheme allows time-domain transient simulations of practical interest structures loaded with arbitrary dynamic and nonlinear termination networks. The advantage of the wavelet discretization is the usage of very few automatically determined unknowns for the computation of the solution at each time step. The adaptivity of the discretization does not affect the overall accuracy, which is the same as if a uniformly fine grid were used. The proposed scheme offers an optimized alternative to the more standard finite-difference (FDTD) approach for signal integrity analysis of interconnects.