Design of digital IIR integrator using radial basis function interpolation method

The design of digital IIR integrator is investigated. First, the radial basis function (RBF) interpolation method is described. Then, fractionally delayed sample estimation of discrete-time sequence is derived by using RBF interpolation approach. Next, the numerical integration rule and fractionally delayed sample estimation are applied to obtain the transfer function of digital integrator. Finally, some numerical comparisons with conventional digital integrators are made to demonstrate the effectiveness of this new design approach.