An efficient analytical model of coupled on-chip RLC interconnects

In this paper, we present a new decoupled model for two coupled transmission lines with consideration of the inductive effect. It maps two coupled lines into two completely isolated lines with separated drivers and receivers, and has no loss of accuracy during the decoupling procedure. Further, we derive a closed-form time domain response for an isolated transmission line using a one-segment RLC Pi model. Combining the two models, we have an analytical time-domain solution to two coupled transmission lines. The model gives satisfied results for up to 5000 mum-long lines when compared to SPICE simulation over an accurate distributed RLC circuit model, and can be used to model on-chip wires in the layout design, logic synthesis and high level design.