Precorrected-dct Techniques for Modeling and Simulation of Substrate Coupling in Mixed-signal Ic’s

Industry trends aimed at integrating higher levels of circuit functionality have triggered a proliferation of mixed analog-digital systems. Magnified noise coupling through the common chip substrate has made the design and verification of such systems an increasingly difficult task. In this paper we present a new method based on a precorrected-DCT algorithm that extends an eigendecomposition-based technique and can be used to accelerate operator application in BEM methods. This method is shown to avoid storage of a dense matrix, as is typical in BEM methods, while at the same time taking all of the substrate boundary effects into account explicitly. This technique can be used for accurate and efficient modeling of substrate coupling effects in mixed-signal integrated circuits.