Automated simplified analysis of analogue circuit behaviour based on fullysymbolic relations between parameters

Symbolic circuit analysis provides the key for understanding the mechanisms underneath circuit operation, and it can be used to obtain predictive mode ls of circuit behaviour. Symbolic analysis has many applications in the des ign of analogue circuits but is severely limited by the size of the resulti ng expressions. Thus an efficient approximation strategy is required for su ccessful symbolic analysis of large analogue circuits. A fully symbolic pro cedure for the simplification of large expressions, which mimics the heuris tic procedures followed by an experienced designer (based on the relations between the parameters of the circuit), is presented in this paper. This si mplification strategy is particularly well suited to be combined with some circuit level partition algorithms, leading to a blend between simplificati on after generation (SAG) and simplification during generation (SDG). The a lgorithms have been implemented and integrated on a prototype software pack age for the automated analysis and design of analogue circuits.