The performance of the proposed radial basis function (RBF) assisted turbo-
coded adaptive modulation scheme is characterized in a wideband channel sce
nario. We commence by introducing the novel concept of the Jacobian RBF equ
alizer, which is a reduced-complexity version of the conventional RBF equal
izer. Specifically, the Jacobian logarithmic RBF equalizer generates its ou
tput in the logarithmic domain and hence it can be used to provide soft out
puts for the turbo-channel decoder. We propose using the average magnitude
of the log-likelihood ratio (LLR) of the bits in the received transmission
burst before channel decoding as the channel quality measure for controllin
g the mode-switching regime of our adaptive scheme.