Interpretable symbolic small-signal characterization of large analog circuits using determinant decision diagrams

Abstract

A new approach is proposed to generate interpretable symbolic expressions of small-signal characteristics for large analog circuits. The approach is based on a complete, exact, yet compact representation of symbolic expressions via determinant decision diagrams (DDDs). We show that two key tasks of generating interpretable symbolic expressions-term de-cancellation and term simplification-can be performed in linear time in terms of the number of DDD vertices. With the number of DDD vertices many-orders-of-magnitude less than the number of product terms, the proposed approach has been shown to be much more efficient than other start-of-the-art approaches.