Design of digital IIR integrator using B-spline interpolation and Gauss-Legendre integration rule

Abstract

In this paper, the design of digital IIR integrator is investigated. First, the B-spline interpolation method is described. Then, non-integer delay sample estimation of discrete-time sequence is derived by using B-spline interpolation approach. Next, the Gauss-Legendre integration rule and noninteger delay 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.