Predicting coupled noise in RC circuits by matching 1, 2, and 3 moments

Abstract

This paper develops the noise-counterparts to familiar delay formulas like Elmore or PRIMO. By matching the first few moments of the network's transfer impedance, we obtain efficient and accurate predictions for maximum noise between two capacitively coupled RC networks. Unlike many crosstalk equations in the literature, the method applies to general topologies and models transition-time dependence as well. Efficient enough for large circuits, the moment-matching noise formulas developed here can serve as a key ingredient in CAD methodologies that ensure a layout is free of noise problems.