Hardware accelerators outperform CPUs in terms of performance by parallelizing the algorithm architecture and using the device’s programmable resources. FPGA is a type of hardware accelerator that excels not only in performance but also in energy efficiency. So, it provides a suitable platform for implementing complicated fractional-order systems. This paper proposes a novel phase-based optimization method to implement fractional operators using FIR and IIR filters. We also compare five fractional operator implementation methods on FPGA regarding resource utilization, execution time, power, and accuracy. These methods and the proposed one are evaluated in terms of power consumption, delay, and resources to assist the designer in determining the most suitable implementation method for the given application. The proposed method has a lower phase error of 14.7% in the case of derivative operation and a lower phase error of 18.83% in the case of integration compared to the literature. In addition, the proposed methods decreased the consumed power and area by more than three times compared to the fixed-window GL fractional operator. The proposed approach implements Heaviside’s inductor-terminated lossy line. In addition, it is employed as an edge detection kernel to demonstrate its effectiveness in image processing applications. © 2023 IEEE.
Design and FPGA Verification of Custom-Shaped Chaotic Attractors Using Rotation, Offset Boosting and Amplitude Control
This paper proposes a method of generating custom-shaped attractors, which depends on a planarly rotating V-shape multi-scroll chaotic system with offset boosting and amplitude control, and its FPGA verification
Editorial note Special Issue on the Design and implementation of fractional-order circuits and systems in real-world applications
The aim of this Special Issue is to present the latest developments, trends, research solutions, and applications of fractional-order circuits and systems with emphasis on real-world applications.
Trajectory control and image encryption using affine transformation of lorenz system
This paper presents a generalization of chaotic systems using two-dimensional affine transformations with six introduced parameters to achieve scaling, reflection, rotation, translation and/or shearing
Memristor based N-bits redundant binary adder
This paper introduces a memristor based N-bits redundant binary adder architecture for canonic signed digit code CSDC as a step towards memristor based multilevel ALU
Fractional-order and memristive nonlinear systems: Advances and applications
Chaotic systems are nonlinear dynamical systems which are sensitive to initial conditions, topologically mixing, and with dense periodic orbits
Control and synchronization of fractional-order chaotic systems
The chaotic dynamics of fractional-order systems and their applications in secure communication have gained the attention of many recent researches
Guest Editorial: Fractional-Order Circuits and Systems: Theory, Design, and Applications
Nowadays, there is a significant research interest in the area of fractional-order circuits.
Partial fraction expansion–based realizations of fractional-order differentiators and integrators using active filters
Approximations of the fractional-order differentiator and integrator operators s±r are proposed in this work

