Title :
Design of canonical signed digit IIR filters using genetic algorithm
Author :
Liang, Li ; Ahmadi, Majid ; Sid-Ahmed, Maher ; Wallus, Konrath
Author_Institution :
Dept. of Electr. & Comput. Eng., Windsor Univ., Ont., Canada
Abstract :
In this paper, genetic algorithm (GA) is used to design 1-D infinite impulse response (IIR) filters with canonical signed-digit (CSD) coefficients. The filter is realized by cascading second order sections, and the stability is guaranteed by constraining the denominator polynomial coefficients of each second order section to be within the stability triangle. A new CSD number restoration technique is proposed to restore invalid coefficients resulted from crossover and mutation operation to CSD coefficients.
Keywords :
IIR filters; genetic algorithms; GA; IIR filter design; canonical signed-digit coefficient; cascading second order section; denominator polynomial coefficient; genetic algorithm; invalid coefficient restoration; mutation operation; number restoration technique; one-dimensional infinite impulse response; stability triangle; Algorithm design and analysis; Biological cells; Counting circuits; Decoding; Genetic algorithms; Genetic mutations; IIR filters; Stability; Transfer functions;
Conference_Titel :
Signals, Systems and Computers, 2004. Conference Record of the Thirty-Seventh Asilomar Conference on
Print_ISBN :
0-7803-8104-1
DOI :
10.1109/ACSSC.2003.1292339
