The paper presents an adaptive Gaussian radial basis function neural networ
k (RBFNN) for rapid estimation of evoked potential (EP). Usually, a recorde
d EP is severely contaminated by background ongoing activities of the brain
. Many approaches have been reported to enhance the signal-to-noise ratio (
SNR) of the recorded signal. However, non-linear methods are seldom explore
d due to their complexity and the fact that the non-linear characteristics
of the signal are generally hard to determine. An RBFNN possesses built-in
non-linear activation functions that enable the neural network to learn any
function mapping. An RBFNN was carefully designed to model the EP signal.
It has the advantage of being linear-in-parameter, thus a conventional adap
tive method can efficiently estimate its parameters. The proposed algorithm
is simple so that its convergence behaviour and performance in signal-to-n
oise ratio (SNR) improvement can be mathematically derived. A series of exp
eriments carried out on simulated and human test responses confirmed the su
perior performance of the method. In a simulation experiment, an RBFNN havi
ng 15 hidden nodes was trained to approximate human visual EP (VEP). For de
tecting human brain stem auditory EP (BAEP), the approach (40 hidden nodes
and convergence rate=0.005) speeded up the estimation remarkably by using o
nly 80 ensembles to achieve a result comparable to that obtained by averagi
ng 1000 ensembles.