Modeling delay and noise in arbitrarily coupled RC trees

Abstract

Closed-form equations for second-order transfer functions of general arbitrarily coupled resistance-capacitance (RC) trees with multiple drivers are reported. The models allow precise delay and noise calculations for systems of coupled interconnects with guaranteed stability and represent the minimum complexity associated with this class of circuits. Their accuracy is extensively compared against other relevant models and is found to be better or comparable to more expensive models. All results are derived from a theoretical approach, and their physical basis is examined. The simplicity, accuracy, and generality of the models make them suitable for use in early signal integrity analyses of complex systems and incremental physical optimization. Index Terms-Crosstalk, delay and noise modeling in VLSI circuits, interconnect modeling, timing analysis, transfer function.

Minimal-power, delay-balanced smart repeaters for interconnects in the nanometer regime

“…However equalising T2 and T3 does not result in any such adverse effect. For the former strategy λ = 0 while for the latter strategy λ = 1 in (18). Here Ht and k can be calculated according to the strategy adopted.…”

“…In general, not only do these alternatives to traditional repeaters require much effort in circuit design similar to library cell design, but they also lack a clear high-level abstraction; in contrast, performance metrics such as delay and energy consumption can easily be quantified in terms of a few critical design parameters for the traditional inverting repeater [2], resulting in easy amalgamation in CAD flows at differ- ent levels of hierarchy from initial signal planning to detailed place and route [18].…”

Delay-Balanced Smart Repeaters for On-Chip Global Signaling

“…In general, not only do these alternatives to traditional repeaters require much effort in circuit design similar to library cell design, but they also lack a clear high-level abstraction; in contrast, performance metrics such as delay and energy consumption can easily be quantified in terms of a few critical design parameters for the traditional inverting repeater [11], resulting in easy amalgamation in CAD flows at different levels of hierarchy from initial signal planning to detailed place and route [12].…”