A Class of Digital Integrators Based on Trigonometric Quadrature Rules

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...

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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
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Abstract	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.
AbstractList	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.
Author	Li, Bo Ali, Talal Ahmed Ali Xiao, Zhu Jiang, Hongbo
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SubjectTerms	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
Title	A Class of Digital Integrators Based on Trigonometric Quadrature Rules
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