Artículos

A Robust Evolvable System for the Synthesis of Analog Circuits

Un Sistema Evolutivo Robusto para la Síntesis de Circuitos Analógicos

Aurora Torres Soto¹, Eunice E. Ponce de León Sentí¹, Arturo Hernández Aguirre², María Dolores Torres Soto³ and Elva Díaz Díaz⁴

¹ Universidad Autónoma de Aguascalientes. Departamento de Ciencias de la Computación, atorres@correo.uaa.mx, eponce@correo.uaa.mx

² Centro de Investigación en Matemáticas. Departamento de Ciencias de la Computación, artha@cimat.mx

³ Universidad Autónoma de Aguascalientes. Departamento de Sistemas de Información, mdtorres@correo.uaa.mx

⁴ Instituto Tecnológico y de Estudios Superiores de Monterrey. Campus Aguascalientes, elva.diaz@itesm.mx

Article received on July 12, 2009.
Accepted on November 11, 2009

Abstract

This paper presents a group of evolutionary mechanisms for the design of analog circuits, embedded on a genetic algorithm that performs the synthesis of an analog filter. The algorithm interacts with SPICE, to evaluate the fitness of evolved circuits. In order to model an analog circuit, a linear representation is introduced and its corresponding reproduction operators that preserve the valid topological analog circuit class closed. The novelty of this paper consists of the use of a linear representation in combination with the generation mechanism and closed operators that keep the non SPICE simulable circuits below one percent. Furthermore, the concept of preferred values is used into the generation mechanism and genetic operators in order to reduce the gap between the real circuits and the evolvable ones. The performance of the system at designing passive low pass filter is discussed and experiments performed show its efficiency.

Keywords: Analog Circuit Synthesis, Analog Filter Design, Genetic Algorithm, SPICE Simulation.

Resumen

Este artículo presenta un grupo de mecanismos evolutivos para el diseño de circuitos analógicos, integrados en un algoritmo genético que desarrolla la síntesis de un filtro analógico. El algoritmo interactúa con SPICE para evaluar la adaptabilidad de los circuitos evolucionados. Para modelar un circuito analógico, se emplea una representación lineal y operadores de reproducción que mantienen cerrada la clase de los circuitos tipológicamente válidos. La novedad de este artículo consiste en el uso de la representación lineal en combinación con el mecanismo de generación y los operadores cerrados, de manera que se conserve el porcentaje de los circuitos no–simulables por SPICE, debajo del 1%. También se ha integrado el concepto de valores comerciales dentro de los mecanismos de generación y operadores genéticos, para reducir las discrepancias entre los circuitos implementados y los circuitos evolucionados. Este trabajo describe el desempeño del sistema mediante el diseño de un filtro pasa–bajas y su eficiencia.

Palabras clave: Síntesis de Circuitos Analógicos, Diseño de Filtros Analógicos, Algoritmo Genético, Simulación con SPICE.

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