Novel class of stable wideband recursive digital integrators and differentiators

Designs of wideband recursive digital integrators and differentiators are presented. The integrators are obtained by interpolating some of the popular digital integration techniques. The procedure consists of obtaining an integrator and then modifying its transfer function appropriately to get a stable differentiator. The proposed integrators and differentiators accurately approximate the ideal integrator and ideal differentiator over the whole Nyquist frequency range and compare favourably with the existing integrators and differentiators. The suggested integrators and differentiators are of third-order and highly suitable for real-time applications, where linear phase property is not necessary.