Comparison of wavelet- and time-marching-based microwave circuit transient analyses

In this paper we derive a transient analysis formulation that can be used in conjunction with wavelets or time-marching methods. The number of unknowns in the formulation is proportional to the number of state variables of the nonlinear devices in the circuit. The formulation was implemented in a general-purpose circuit simulator. We evaluate the numerical performance of transient analysis using wavelets and the backward Euler method by simulating a nonlinear transmission line and a quasi-optical grid amplifier. The quasi-optical example illustrates the integration of full-wave electromagnetic analysis in transient circuit simulation.