Design of Second Order Recursive Digital Integrators with Matching Phase and Magnitude Response

Abstract

Location of poles and zeroes greatly affect phase response and magnitude response of a system. Recently, pole-zero optimization emerged as an effective approach to approximately match magnitude response of a system with that of an ideal one. In this brief, a methodology for the design of linear phase integrators and ones with constant phase of −90 degree is proposed. The aim of this method is to simultaneously attain multiple objectives of magnitude and phase optimization. In this method, magnitude response error is minimized under the constraint that the maximum passband phase-response error is below a prescribed level. Examples are included to illustrate the proposed design technique.

The optimal design and analysis of wideband second-order microwave integrator

“…The Recursive wideband digital integrators have been designed by using Newton-cotes integration rule and different digital integration techniques [2, 3]. Recursive wide-band digital integrators and differentiators were designed by optimizing the pole-zero locations of existing wideband differentiator and a fourth-order recursive digital filter [4–6]. The integrators are mainly designed and implemented for low-speed application up to hardly few hundred of MHz.…”