Transient simulation of coupled lossy interconnects by window partitioning technique

A new algorithm, which is incorporated into the waveform relaxation analysis, to compute the transient response of coupled lossy transmission lines is presented. First, coupled lines are transformed into uncoupled lines by a transformation network. Second, each uncoupled line is modelled into an equivalent disjoint two-port network. This model, called characteristic model, consists of characteristic impedances and voltage generators in each branch. Synthesized networks are used to represent characteristic impedances and attenuation functions. Finally, the circuit is partitioned into two subcircuits and waveform relaxation analysis is carried out in sequential time windows of size equal to the delay of an uncoupled line with fastest propagation velocity. By this approach, the near end and far end subcircuits are totally decoupled within each window and as a result converged waveforms are obtained with a single iteration