A new approach for the design of digital integrators

In this brief, a new method is proposed for the design of digital integrators. The new method is based upon the formulation of an appropriate linear programming problem which assures a satisfactory minimax approximation error for the magnitude response in a predefined frequency range. In comparison with existing methods the new design approach constructs a novel class of digital integrators by optimal determining more than one independent coefficients. Their capability to approximate in the minimax sense the ideal integrator with a good accuracy is shown. Well-known integrators can be obtained as special cases of the proposed methodology. Appropriate constraints can be introduced to accommodate signals with low frequencies.