A Class of Digital Integrators Based on Trigonometric Quadrature Rules

• Published in: IEEE transactions on industrial electronics (1982) Vol. 71; no. 6; pp. 6128 - 6138
• Main Authors: Ali, Talal Ahmed Ali, Xiao, Zhu, Jiang, Hongbo, Li, Bo
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-06-2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Broadband; Complexity theory; Design methodology; Digital integrator; Digital integrators; Frequency-domain analysis; IIR filters; Impulse response; Inertial navigation; Interpolation; Navigation systems; Numerical integration; numerical integration rules; Quadratures; Specifications; Strapdown inertial navigation; trigonometric interpolation; Tuning; Wideband
• ISSN: 0278-0046; 1557-9948
• DOI: 10.1109/TIE.2023.3290247

This article proposes a new closed-form design of wideband infinite impulse response digital integrators using numerical integration rules that are 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: 1) Rogowski current transducer and 2) 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.