Title :
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
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;
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
