Perturbation Approach to Ebers–Moll Equations for Transistor Circuit Analysis

TLDR: A perturbation theoretic technique has been used to analyze an Ebers–Moll modeled transistor amplifier circuit and expressions derived can be used to derive corrections to the behavior of the amplifier when the input swing is not small enough.

Abstract: In this paper, a perturbation theoretic technique has been used to analyze an Ebers–Moll modeled transistor amplifier circuit. The main advantage of the proposed method is that the use of the perturbation technique helps to obtain more accurate closed form Volterra series. These expressions can be used to derive corrections to the behavior of the amplifier when the input swing is not small enough. The expressions derived in this paper can also be used for transistor parameter estimation, as variations in transistor parameters affect the circuit performance critically.