Optimal Design of a CMOS Op-Amp via Geometric Programming

lingzhi

Optimal Design of a CMOS Op-Amp via Geometric Programming


Maria del Mar Hershenson, Stephen P. Boyd, Fellow, IEEE, and Thomas H. Lee

Abstract—We describe a new method for determining component
values and transistor dimensions for CMOS operational
amplifiers (op-amps). We observe that a wide variety of design
objectives and constraints have a special form, i.e., they are posynomial
functions of the design variables. As a result, the amplifier
design problem can be expressed as a special form of optimization
problem called geometric programming, for which very efficient
global optimization methods have been developed. As a consequence
we can efficiently determine globally optimal amplifier designs
or globally optimal tradeoffs among competing performance
measures such as power, open-loop gain, and bandwidth. Our
method, therefore, yields completely automated sizing of (globally)
optimal CMOSamplifiers, directly from specifications.
In this paper, we apply this method to a specific widely used operational
amplifier architecture, showing in detail how to formulate
the design problem as a geometric program.We compute globally
optimal tradeoff curves relating performance measures such as
power dissipation, unity-gain bandwidth, and open-loop gain. We
show how the method can be used to size robust designs, i.e., designs
guaranteed to meet the specifications for a variety of process
conditions and parameters.

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