Efficient design of tunable VFOD and VFOI for narrowband applications

Fractional-order differentiators and integrators play a crucial role in various applications, including signal processing, communications, and biomedical systems, due to their flexibility in manipulating signals. However, traditional designs for these systems often rely on complex semi-infinite R–C tree or ladder network-based fractance devices, which can lead to high costs, bulkiness, and reduced power efficiency. This paper introduces a novel approach for the efficient design of tunable variable fractional-order differentiators (VFODs) and variable fractional-order integrators (VFOIs) that eliminates the need for intricate fractance devices. The proposed design enhances cost-effectiveness, compactness, and power efficiency while providing full flexibility in selecting both the order and the operating frequency without requiring changes to the design. Two implementation schemes for the VFOD and VFOI are presented and validated through simulations using MATLAB/Simulink. The results confirm the functionality of the system, with a phase shift of ± π/4 for a 1000 rad/sec sinusoidal input. The proposed design offers substantial improvements over existing solutions, making it ideal for practical applications where portable, power-efficient, and compact devices are essential.

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Cite this article

[IEEE Style]

S. K. Mishra, N. Kumar, N. Kumar, N. Nagpal, L. D, N. Agarwal, S. Agarwal, "Efficient design of tunable VFOD and VFOI for narrowband applications," Journal of Power Electronics, vol. 25, no. 6, pp. 1156-1165, 2025. DOI: 10.1007/s43236-025-01050-0.

[ACM Style]

Shalabh K. Mishra, Neeraj Kumar, Nawnit Kumar, Neelu Nagpal, Lakshmi D, Neha Agarwal, and Saurabh Agarwal. 2025. Efficient design of tunable VFOD and VFOI for narrowband applications. Journal of Power Electronics, 25, 6, (2025), 1156-1165. DOI: 10.1007/s43236-025-01050-0.