Optimization of the design of digital filters using evolutionary algorithms

Author

Jimenez, Gustavo ; Donoso, Yezid ; Barragan, Daniel ; Ortiz, Andrea ; Pinedo, Dustin

Author_Institution

Syst. & Comput. Eng. Dept., Univ. de los Andes, Bogota, Colombia

fYear

2010

fDate

11-14 July 2010

Firstpage

325

Lastpage

330

Abstract

In the design of filters for real time applications, designers have found different inconveniences trying to get better relations between computational cost and mean square error (MSE). This article presents a solution using evolutionary Algorithm (GA) theory, SPEA algorithm has been chosen to find the Pareto optimal for this problem and different kinds of IIR filters (Chebyshev, Butterworth and Elliptical) have been designed by traditional methods. Additive White Gaussian Noise (AWGN) has been added to a sinusoidal signal and the noisy signal is used as the input of every filter. MSE only depends of the input and output signals of each filter, meanwhile computational cost is related with the number of operations.

Keywords

Butterworth filters; Chebyshev filters; IIR filters; Pareto optimisation; elliptic filters; genetic algorithms; logic design; Butterworth filters; Chebyshev filters; IIR filters; Pareto optimal; SPEA algorithm; additive white Gaussian noise; digital filters; elliptical filters; evolutionary algorithms; mean square error; noisy signal; real time applications; sinusoidal signal; Band pass filters; Biological cells; Digital filters; Evolutionary computation; Filtering algorithms; Filtering theory; IIR filters; Computational Cost; Evolutionary Algorithm; IIR Filter; Mean Square Error; Pareto Optimal; SPEA algorithm;

fLanguage

English

Publisher

ieee

Conference_Titel

Performance Evaluation of Computer and Telecommunication Systems (SPECTS), 2010 International Symposium on

Conference_Location

Ottawa, ON

Print_ISBN

978-1-56555-340-8

Type

conf

Filename

5588911