A Class of Digital Integrators Based on Trigonometric Quadrature Rules

This paper proposes a new closed-form design of wideband infinite impulse response digital integrators using numerical integration rules that constructed via trigonometric interpolation. The proposed method can be used to design integrators satisfying prescribed frequency-domain specifications. Design examples with various specifications are given. Simulation comparisons with existing methods are presented to demonstrate the effectiveness of the new design method. The proposed method is experimentally verified on two real applications, Rogowski current transducer and strapdown inertial navigation system. The results show that our method can efficiently improve the integration bandwidth under low sampling rates compared to existing ones, and hence is attractive for resource-constrained applications that require wideband integration.