Symbolic Analysis of Power/ground Networks Using Moment-matching Methods

| This paper presents an event-driven algorithm for the symbolic analysis of power and ground bus networks using moment matching techniques to estimate the transfer function at each node in the P/G network. The P/G network is modeled by a hierarchical combination of mesh and tree structures that are composed of a collection of RCsegments and pulldown (or pullup) switches. The switches are symbolically represented by Boolean variables and a compiled symbolic code is generated only once for each P/G network. The transient waveforms are then produced by repetitive evaluation of the symbolic output. The results show that the symbolic implementation is an order of magnitude faster, with reasonably good accuracy, than using a traditional analog circuit simulator like SPICE.