NOVEL CLASS OF DIGITAL INTEGRATORS AND DIFFERENTIATORS

A novel class of digital integrators and differentiators is presented. These first-order filters are very convenient for real-time applicati ons. Every integrator is expressed as a weighted sum of the classical rectangular and trapezoidal integrators, with the additional constrain t of a minimum phase. The corresponding differentiator is obtained by inverting the transfer function of the integrator. The filter class de pends on a parameter. Properties of the filters are derived and the fi lter parameter is determined according to different chosen criteria. T he capability of these filters to approximate the ideal linear phase i ntegrator and differentiator with good accuracy and over a large frequ ency band is shown.