Analytical comparison of frequency compensation techniques in three-stage amplifiers

In this paper, design equations of the most common Nested Miller topologies are derived. Moreover, a coherent and comprehensive analytical comparison among the different topologies is also presented. In particular, after deriving design equations, following the approach previously proposed by the authors that have the phase margin as the main design parameter, the different solutions are compared by evaluating a novel figure of merit that expresses a trade-off between gain-bandwidth product, load capacitance and total transconductance, for equal values of phase margin. It is shown that there is no unique optimal solution as this depends on the load condition and the relative magnitude of the transconductance of each stage. From this point of view, the proposed comparison also provides useful design guidelines for the optimization of small-signal performance. Simulations confirming the effectiveness of the comparison are also given. Copyright (c) 2006 John Wiley & Sons, Ltd.