Nonlinear signal processing using radial basis functions

Nonlinear signal processing using radial basis functions1. J. Shepherd and D. S. BroomheadRoyal Signals and Radar Establishment, St. Andrew's Road,Malvern, Worcestershire, WR14 3P5, UKABSTRACTA procedure for multidimensional nonlinear modelling and interpolation is described which employs themethod of radial basis function analysis. A systolic array for efficiently performing the associated computation forboth the modelling and interpolation modes recursively in time is also described. Conditions are given for the furtherimprovement of efficiency in the algorithm when the input data constitute a time series, and an associated processingstructure is outlined.1. INTRODUCTION