A Methodology to Derive a Symbolic Transfer Function for Multistage Amplifiers

In this paper, a simple while effective methodology to calculate the symbolic transfer function of a multistage amplifier with frequency compensation is proposed. Three general amplifier models are introduced and analyzed, which represent basic topologies found in the literature. For these amplifier models, the symbolic transfer function is derived and specific strategies for the zero and non-dominant pole expressions are presented. The methodology is suited for hand calculations and yields accurate results while offering more intuition into the operation of the widely adopted frequency compensation solutions discussed in the literature. The effectiveness of the proposed approach is validated through various typical cases of study.