Title :
Design of complementary filter pairs with canonical signed-digit coefficients using genetic algorithm
Author :
Liang, Li ; Ahmadi, Majid ; Sid-Ahmed, Maher A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Windsor Univ., Ont., Canada
Abstract :
In this paper, a genetic algorithm (GA) is used to design doubly complementary filter pairs, which are realized as a parallel connection of two all-pass filters. The designed filters have canonical signed-digit (CSD) coefficients. A new CSD number restoration technique is proposed to ensure that the algorithm generates CSD coefficients with the pre-specified wordlength and maximum number of non-zero digits.
Keywords :
IIR filters; all-pass filters; digital filters; genetic algorithms; high-pass filters; low-pass filters; transfer functions; CSD coefficients nonzero digits maximum number; CSD coefficients pre-specified wordlength; CSD number restoration technique; IIR filter pairs; allpass filters parallel connection; canonical signed-digit coefficients; digital filters; doubly complementary filter pairs; genetic algorithm; lowpass-highpass filter pair; transfer functions; Algorithm design and analysis; Design methodology; Digital filters; Frequency; Genetic algorithms; Helium; IIR filters; Passband; Signal processing algorithms; Transfer functions;
Conference_Titel :
Electronics, Circuits and Systems, 2004. ICECS 2004. Proceedings of the 2004 11th IEEE International Conference on
Print_ISBN :
0-7803-8715-5
DOI :
10.1109/ICECS.2004.1399755