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Helmut Graeb

Publications and source records attributed to Helmut Graeb.

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FUBOCO: Structure Synthesis of Basic Op-Amps by FUnctional BlOck COmposition

This paper presents a method to automatically synthesize the structure of an operational amplifier. It is positioned between approaches with fixed design plans and a small search space of structures and approaches with generic structural production rules and a large search space with technically impractical structures. The presented approach develops a hierarchical composition graph based on functional blocks that spans a search space of thousands of technically meaningful structure variants for single-output, fully-differential and complementary operational amplifiers. The search algorithm is a combined heuristic and enumerative process. The evaluation is based on circuit sizing with a library of behavioral equations of functional blocks. Formalizing the knowledge of functional blocks in op-amps for structural synthesis and sizing inherently reduces the search space and lessens the number of created topologies not fulfilling the specifications. Experimental results for the three op-amp classes are presented. An outlook how this method can be extended to multi-stage op-amps is given.

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A Functional Block Decomposition Method for Automatic Op-Amp Design

This paper presents a method to decompose an op-amp into its functional blocks. The method is able to recognize functional blocks on a high level of abstraction as loads or amplification stages which have a large set of possible structural implementations. The paper presents a hierarchical library of functional blocks. With every hierarchy level, the structural representation of the functional blocks becomes more variable while its function emerges. We use the hierarchical order to automatically compute the functional decomposition of an op-amp given as a flat netlist. Experimental results illustrate the method. The functional block decomposition enables a comprehensive formalization of design knowledge for computer-aided design of op-amps. Applications to circuit sizing and structural synthesis of op-amps are presented.

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A Hierarchical Performance Equation Library for Basic Op-Amp Design

The paper presents a new approach to automate the set-up of the design equations of the manual analog design process. Its main contribution is a comprehensive hierarchical performance equation library (HPEL) for op-amps. The HPEL makes the set-up of design equations independent of the topology. Based on the library and the functional block recognition method in [1], analytical performance models for various op-amp topologies are automatically instantiated. The method is currently designed for basic op-amps. In this paper, we use the method to size different op-amp topologies. Experimental results featuring four circuits are presented. The HPEL has also been integrated into a structural synthesis method featuring several thousand op-amp topologies [2].

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