Fully adaptive neural nonlinear FIR filters

Woon Chong Siaw1, Su Lee Goh1, A.I. Hanna2, C. Boukis1, D.P. Mandic1
1Department of Electrical and Electronic Engineering, Imperial College of Science, Technology and Medicine, London, UK
2School of Information Systems, University of East Anglia, Norwich, UK

Tóm tắt

A class of algorithms for training neural adaptive filters employed for nonlinear adaptive filtering is introduced. Sign algorithms incorporated with the fully adaptive normalised nonlinear gradient descent (SFANNGD) algorithm, normalised nonlinear gradient descent (SNNGD) algorithm and nonlinear gradient descent (SNGD) algorithm are proposed. The SFANNGD, SNNGD and the SNGD are derived based upon the principle of the sign algorithm used in the least mean square (LMS) filters. Experiments on nonlinear signals confirm that SFANNGD, SNNGD and the SNGD algorithms perform on par as compared to their basic algorithms but the sign algorithm decreases the overall computational complexity of the adaptive filter algorithms.

Từ khóa

#Finite impulse response filter #Adaptive filters #Computational complexity #Mathematical model #Cost function #Convergence #Taylor series #Educational institutions #Information systems #Filtering algorithms

Tài liệu tham khảo

moreira, 1995, Neural Networks with Adaptive Learning Rate and Momentum Terms, Tech Rep IDIAP, 4 10.1109/78.774769 10.1109/97.969448 10.1049/el:20000631 10.1109/ICASSP.1995.480502 10.1109/18.256503 10.1002/047084535X 10.1109/72.80202 haykin, 1999, Neural Networks A Comprehensive Foundation