Design of Fractional-Order Low-Pass and High-Pass Filter

Kumar, Vikash; Islam, Aminul

doi:10.1007/978-981-15-5089-8_52

Cited by 1 publication

(1 citation statement)

References 8 publications

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“…Currently, this complex mathematical operator bene its the modelling of biological, chemical, control, electrical, and even inancial systems . However, the practical implementation of the fractional-order calculus is extremely dif icult due to the lack of real components that can realize this mathematical operation [5,[24][25][26][27][28]. In the case of the integer differentiation and integration, passive electrical components such as capacitors and coils can carry out these operations on the analogue signal [29].…”

Section: Introductionmentioning

confidence: 99%

Design of Small-Phase Time-Variant Low-pass Digital Fractional Differentiators and Integrators

Sakow

2024

JAMRIS

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The design method and the time-variant FIR architecture for real-time estimation of fractional and integer differentials and integrals are presented in this paper. The proposed FIR architecture is divided into two parts. Small-phase filtering, integer differentiation, and fractional differential and integration on the local data are performed by the first part, which is time-invariant. The second part, which is time-variant, handles fractional and global differentiation and integration. The separation of the two parts is necessary because real-time matrix inversion or an extensive analytical solution, which can be computationally intensive for high-order FIR architectures, would be required by a single time-variant FIR architecture. However, matrix inversion is used in the design method to achieve negligible delay in the filtered, differentiated, and integrated signals. The optimum output obtained by the method of least squares results in the negligible delay. The experimental results show that fractional and integer differentiation and integration can be performed by the proposed solution, although the fractional differentiation and integration process is sensitive to the noise and limited resolution of the measurements. In systems that require closed-loop control, disturbance observation, and real-time identification of model parameters, this solution can be implemented.

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Section: Introductionmentioning

confidence: 99%

Design of Small-Phase Time-Variant Low-pass Digital Fractional Differentiators and Integrators

Sakow

2024

JAMRIS

View full text Add to dashboard Cite

show abstract

Design of Fractional-Order Low-Pass and High-Pass Filter

Cited by 1 publication

References 8 publications

Design of Small-Phase Time-Variant Low-pass Digital Fractional Differentiators and Integrators

Design of Small-Phase Time-Variant Low-pass Digital Fractional Differentiators and Integrators

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