Transient analysis of VLSI interconnects with arbitrary initial distributions and nonlinear terminations

In this paper, we propose a new and efficient approach to the computation of the transient response of lossy VLSI interconnects with arbitrary initial potential and current distributions and nonlinear terminations. The complete solution of the lossy transmission line equation with arbitrary initial conditions is given by linear system theory. In the new model, the initial distributions are incorporated into the waveform generators in the generalized characteristic model, which saves a lot of CPU time and computer memory. The accuracy and efficiency of our simulation method is substantiated by the exact analytical solutions