Symbolic factorization methodology for multistage amplifier transfer functions

In this paper we discuss a symbolic simplification methodology to derive approximated factorized forms of the transfer function of multi-stage amplifiers in the complex frequency domain. The developed approach is useful for hand calculation and is also suitable to be implemented in symbolic CAD tools. Although the proposed methodology is mainly intended for the analysis and design of operational transconductance amplifiers, it can straightforwardly be applied to the small-signal analysis of any analog linear circuit. Design examples are provided to verify the effectiveness of the proposed approach implemented through a Matlab function.