Analog Circuit Design

Organizers

Erich Barke (barke@ims.uni-hannover.de)
Institute of Microelectronic Systems, University of Hanover, Hanover, Germany
Ralf Sommer (rsommer@rhrk.uni-kl.de)
Institute of Industrial Mathematics, Kaiserslautern, Germany

Description

Symbolic computation techniques can be effectively applied to three classes of engineering problems in the field of analog circuit design:

design understanding
development of generic behavioral circuit models, and
circuit sizing.

Design understanding requires calculating circuit functions symbolically in order to determine their functional relation to circuit behavior.

Development of generic behavioral models is necessary for speeding up simulations of large analog and mixed-signal circuits on system level and for numerical circuit optimization.

Circuit sizing means the development of generic (sizable) libraries of analog building blocks.

Supporting these tasks with computer algebra requires new algorithmic approaches which combine symbolic computation techniques with numerical methods. Due to the extremely high complexity of symbolic calculations, approximation techniques based on numerical magnitude information must be used to extract dominant information from symbolic circuit functions. Hence, this session will focus on hybrid symbolic/numeric algorithms and their applications to the design of analog electronic circuits.

Talks

Date: July 19th (Friday)

08:30-09:10: Ralf Sommer, Eckhard Hennig
Overview talk on symbolic techniques for circuit analysis
Abstract
09:10-09:40: Carsten Borchers, Lars Hedrich
Symbolic Behavioral Model Generation and Formal Verification of Analog Circuits.
Abstract
09:40-10:00: Georges Gielen, Piet Wambacq, Willy Sansen
Techniques for the symbolic analysis of distortion and intermodulation.
Abstract

10:00-10:30: Coffee Break

10:30-11:00: Wolfgang Mathis
Nonlinear network theory, differential geometric approach to nonlinear networks
Abstract
11:00-11:30: Ljiljana Trajkovic
Homotopy Methods for Solving Nonlinear Equations and their Applications in Circuit Simulation.
Abstract
11:30-12:00: B. Mourrain
Integration of algebraic and numerical tools for devising efficient algorithms for the solution of systems of polynomial equations.
Abstract

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