A Decomposition-Based Symbolic Analysis Method For Analog Synthesis From Behavioral Specifications

This paper discusses a technique for symbolic analysis of large analog systems. The method exploits the hierarchical structure and uniformity of a system for producing compact symbolic expressions. The technique is based on decomposing a system through the method of tearing [5] as opposed to traditional symbolic methods that use nodal analysis. After producing the symbolic model of a system, a set of reduction rules is applied to the model. Reductions attempt to decrease the number of arithmetic operations performed for numerically evaluating the symbolic model. The discussed technique is useful for synthesis, inside an exploration-loop, as it avoids repeatedly computing the symbolic models. 1. INTRODUCTION Symbolic analysis is the task of automatically deducing relationships between overall parameters of a system andparameters of the composingelements of the system [6] [3]. For example, a symbolic expression can describe the transfer-function of a filter in terms of parameters of it..