Design of Analog Circuits through Symbolic Analysis

Author(s): Trent McConaghy and Georges G.E. Gielen

DOI: 10.2174/978160805095611201010343

Nonlinear Template-Free Symbolic Performance Modeling for Design and Process Variation Analysis of Analog Circuits

Pp: 343-359 (17)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

This chapter presents the CAFFEINE tool, which is a method for generating symbolic performance models of electronic circuits without any prior specification of an equation template. CAFFEINE uses SPICE simulation data, allowing it to handle strongly nonlinear circuits, statistical process variations, and a variety of analysis types. CAFFEINE expressions are canonical form functions: product-of-sum layers alternate with sum-of-product layers, as defined by a context-free grammar. Besides the attribute of interpretability, CAFFEINE models demonstrate lower prediction error than several state-of-the-art regression techniques including posynomials, projection-based quadratic models, boosted neural networks, piecewise polynomials / splines, kriging, and support vector machines. In addition, CAFFEINE is also useful in variation-aware modeling, behavioral modeling, and tradeoff modeling.

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