We describe a new method for determining component values and transistor dimensions for CMOS operational ampli ers (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 ampli er design problem can be expressed as a special form of optimization problem called geometric programming, for which very e cient global optimization methods have been developed. As a consequence we can e ciently determine globally optimal ampli er designs, or globally optimal trade-o s among competing performance measures such aspower, open-loop gain, and bandwidth. Our method therefore yields completely automated synthesis of (globally) optimal CMOS ampli ers, directly from speci cations. In this paper we apply this method to a speci c, widely used operational ampli er architecture, showing in detail how to formulate the design problem as a geometric program. We compute globally optimal trade-o curves relating performance measures such as power dissipation, unity-gain bandwidth, and open-loop gain. We show how the method can be used to synthesize robust designs, i.e., designs guaranteed to meet the speci cations for a

Automatic Synthesis of CMOS Digital/Analog Converters by Robert McKinstry Robinson Neff Doctor of Philosophy in Engineering -- Electrical Engineering and Computer Sciences University of California at Berkeley Professor Paul R. Gray, Chair Synthesis of analog functional blocks in integrated circuits offers promise for improved designer productivity. By developing module generators for commonly used analog circuit elements, a synthesis methodology may be matched to a particular application, with approaches and algorithms determined by the particular needs of target circuit type. An analog circuit designer should be able to input design specifications and underlying technology information, and a synthesis methodology should determine circuit parameter values and dimensions, creating the required mask layouts. Slow, tedious design and redesign methods should be replaced by one in which the computer finds minimum cost designs which meet performance requirements. This work implements synthesis methods for a widely used analog block, the digital/analog converter (DAC).

This thesis describes a method to program materials directly to perform a computation. The work demonstrates that an evolutionary algorithm can exploit the physical properties of materials such as liquid crystal, enabling them to perform computation. The thesis demonstrates the approach applied to several different problems including signal processing, control and digital logic. In addition to demonstrating the technique on real liquid crystal, simulations are used to show the applicability to cellular automata and a kind of neural network. The thesis also argues that the developed technique may also be suitable for programming systems, such as, bacterial consortia to perform computations.

In this paper, the design strategy for a circuit synthesis program is described. Unlike other synthesis programs, the program searches in an extremely large set of possible circuits (over 1,000,000 possible circuit configurations), and is not restricted to one device technology. It uses