Wavelet-collocation of multirate PDAEs for the simulation of radio frequency circuits

Abstract

As already explained in the preceding introduction, radio frequency (RF) circuits introduce several difficulties for their numerical simulation, e.g. widely separated time scales and a nonharmonic shape of digital signals. Multiscale signals require huge computational effort in numerical integration schemes, since the fast time scale restricts the step sizes, whereas the slow time scale determines a relatively long integration interval. The occurrence of steep gradients in digital signal structures demands an additional refinement of grids in time domain methods. Moreover, the low smoothness of pulsed signals possibly causes further difficulties in the numerical simulation. © 2008 Springer-Verlag.