Algorithms for coupled transient simulation of circuits and complicated 3-D packaging

In this paper techniques are described for coupled simulation of complicated 3-D interconnect and nonlinear transistor drivers and receivers. The approach is based on combining: multipole-accelerated method-of-moments techniques for extracting frequency-dependent inductances and resistances for the interconnect; a sectioning method for fitting the frequency-domain data with a rational function; a balanced-realization approach to reducing the order of the rational function in a guaranteed stable manner; and an implementation of fast recursive convolution to incorporate the rational function in SPICE3. Results are presented to demonstrate some of the frequency-dependent effects in a packaging analysis problem