Enhancing the symbolic analysis of analog circuits

 

E. Tlelo-Cuautle & J. Aguila-Meza

 

INAOE, Department of Electronics. Instituto Tecnológico de Puebla. Puebla, Pue., México. etlelo@inaoep.mx

 

Received: February 2^th, 2005.
Accepted: April 12^th 2005.

 

Abstract

A new symbolic-method is introduced to enhance the calculation of symbolic expressions of analog circuits. First, the analog circuit is transformed to a nullor equivalent circuit. Second, a new method is introduced to the formulation of a compact system of equations (CSEs). Third, a new method is introduced to the solution of the CSEs, by avoiding multiplications by zero to improve the evaluation of determinants. Finally, two examples are given to show the usefulness of the proposed methods to calculate fully symbolic transfer functions.

Keywords: Circuit Theory, Symbolic Analysis, Nodal Analysis, Operational Amplifier, Operational Trans-Conductance Amplifier, Nullor, Cartesian Product, Linear Algebra.

 

Resumen

Se presenta un nuevo método simbólico para mejorar el cálculo de expresiones simbólicas de circuitos analógicos. En primer lugar, el circuito analógico es transformado a un circuito equivalente con anulador (nullor). Segundo, se presenta un nuevo método para la formulación de un sistema de ecuaciones compacto (SEC). Tercero, se presenta un nuevo método para la solución del SEC, evitando multiplicaciones por cero para mejorar la solución de determinantes. Finalmente, se presentan dos ejemplos para mostrar la utilidad de los métodos propuestos para calcular funciones de transferencia totalmente simbólicas.

 

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ACKNOWLEDGMENT

This work has been partially supported by CoSNET/MEXICO, under the project number 454.03-p.

 

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Authors Biography

Esteban Tlelo-Cuautle. received the B.Sc. degree in Electronics Engineering from the Ted Institute of Puebla (Instituto Tecnológico de Puebla), México, in 1993, the M.Sc. and Ph.D. degrees from the Institute for Astrophysics, Optics and Electronics (INAOE), México, in 1995 and 2000, respectively. Since Jan he has been with the Electronics Department at INAOE, where he is currently a Researcher. He is Senior M the IEEE, and his research interests include analog design automation, modeling and simulation of nonlinear circuits, symbolic analysis, circuit synthesis, and analog and mixed-signal CAD tools.

Jorge Aguila-Meza. received the B.Sc. degree In Electronics from the Benemérita Universidad Autónoma de Puebla (BUAP), México, in 2003, and the M.Sc. degree from the National Institule for Astrophysics, Optics and Electronics (INAOE), México, in 2004. His research interests include analog CAD tools, symbol analysis, modelling and simulation of analog integrated circuits.