An investigation into the performance of the recently developed minimal res
ource allocation network (MRAN) for adaptive noise cancellation problems is
presented and a comparison made with the recurrent radial basis function (
RBF) network of Billings and : Fung. An MRAN has the same structure as an R
BF network but uses a sequential learning algorithm that adds and prunes hi
dden neurons as input data are received sequentially to produce a compact n
etwork. Simulation results for nonlinear noise cancellation examples show t
hat an MRAN, with a much smaller network, produces better noise reduction t
han the recurrent RBF.