New Algorithms for Reference Generation in Symbolic Analysis or Large Analog Circuits

Abstract

This paper addresses the problems arising in the calculation of numerical references (network function coefficients) , essential for an appropriate error control in simplification before and during generation algorithms for symbolic analysis of large analog circuits. The conventional polynomial interpolation method reveals to be unable to handle the large circuit sizes needed, mainly due to the dramatic effect of round-off errors. This paper introduces a new algorithm able to accurately calculate the network function coefficients of large analog circuits in an efficient way. 1. Introduction Symbolic circuit analysis refers to the calculation of network functions where all or part of the circuit parameters are represented by symbols. The applicability of symbolic simulation techniques to the analysis and synthesis of analog integrated circuits has been known for a long time. See for instance [1] for an actualized review of techniques and applications of symbolic analysis. Given the e..