ISAAC: a symbolic simulator for analog integrated circuits

The symbolic simulator ISAAC (interactive symbolic analysis of analog circuits) is presented. The program derives all AC characteristics for any analog integrated circuit (time-continuous and switched-capacitor, CMOS, JFET, and bipolar) as symbolic expressions in the circuit parameters. This yields analytic formulas for transfer functions, CMRR (common-mode rejection ratio), PSRR (power-supply rejection ratio), impedances, noise, etc. Two novel features are included in the program. First, the expressions can be simplified with a heuristic criterion based on the magnitudes of the elements. This yields interpretable formulas showing only the dominant terms. Second, the explicit representation of mismatch terms allows the accurate calculation of second-order effects, such as the PSRR. ISAAC provides analog designers with more insight into the circuit behavior than do numerical simulators and is a useful tool for instruction or designer assistance. Moreover, it generates complete analytic AC circuit models, which are used for automatic sizing in a nonfixed topology analog module generator. The program´s capabilities are illustrated with several examples. The efficiency is established by a dedicated sparse-matrix algorithm