TY - GEN
T1 - Nonlinear adaptive RBF neural filter with Lyapunov adaptation algorithm and its application to nonlinear channel equalization
AU - Kahphooi, Seng
AU - Zhihong, Man
AU - Wu, H. R.
PY - 1999
Y1 - 1999
N2 - An RBF neural network, combined with a Lyapunov adaptation (LA) algorithm is proposed for linear or nonlinear channel equalization. The output observations of the nonlinear channel are regarded as inputs of the RBF neural filter. The weights of the neural network are updated by the LA algorithm that is based on Lyapunov stability theory so that the error between the reference signal and output of the RBF neural filter can converge to zero asymptotically. The stochastic properties of the signals are not required and the stability is guaranteed by the Lyapunov stability theory. The design of the LA algorithm is extremely simplified compared with existing LMS and RLS algorithms. Hence, the proposed scheme possesses distinct advantages of stability, speed of convergence, convergence properties and some key features of RBF neural networks over the conventional linear filter with RLS and LMS for channel equalization.
AB - An RBF neural network, combined with a Lyapunov adaptation (LA) algorithm is proposed for linear or nonlinear channel equalization. The output observations of the nonlinear channel are regarded as inputs of the RBF neural filter. The weights of the neural network are updated by the LA algorithm that is based on Lyapunov stability theory so that the error between the reference signal and output of the RBF neural filter can converge to zero asymptotically. The stochastic properties of the signals are not required and the stability is guaranteed by the Lyapunov stability theory. The design of the LA algorithm is extremely simplified compared with existing LMS and RLS algorithms. Hence, the proposed scheme possesses distinct advantages of stability, speed of convergence, convergence properties and some key features of RBF neural networks over the conventional linear filter with RLS and LMS for channel equalization.
UR - http://www.scopus.com/inward/record.url?scp=4944243624&partnerID=8YFLogxK
U2 - 10.1109/ISSPA.1999.818135
DO - 10.1109/ISSPA.1999.818135
M3 - Conference Proceeding
AN - SCOPUS:4944243624
SN - 1864354518
SN - 9781864354515
T3 - ISSPA 1999 - Proceedings of the 5th International Symposium on Signal Processing and Its Applications
SP - 151
EP - 154
BT - ISSPA 1999 - Proceedings of the 5th International Symposium on Signal Processing and Its Applications
PB - IEEE Computer Society
T2 - 5th International Symposium on Signal Processing and Its Applications, ISSPA 1999
Y2 - 22 August 1999 through 25 August 1999
ER -