Closed-form analytical formulation for Riemann-Liouville-based fractional-order digital differentiator using fractional sample delay interpolation
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Publication:2697741
DOI10.1007/s00034-020-01589-2OpenAlexW3118362677MaRDI QIDQ2697741
Publication date: 13 April 2023
Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00034-020-01589-2
Riemann-LiouvilleGrünwald-Letnikovfinite impulse response (FIR) filterfractional-order digital differentiator (FODD)non-integer sample delay
Fractional derivatives and integrals (26A33) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)
Cites Work
- Unnamed Item
- Studies on fractional order differentiators and integrators: a survey
- Fractional calculus for scientists and engineers.
- Fractional processes and fractional-order signal processing. Techniques and applications
- Time domain design of fractional differintegrators using least-squares
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Computation of fractional derivatives using Fourier transform and digital FIR differentiator.
- Anlogue realizations of fractional-order controllers.
- Fractional Order Differentiation by Integration and Error Analysis in Noisy Environment
- Fractal system as represented by singularity function
- Signal modeling with filtered discrete fractional noise processes
- Design of Fractional Order Digital Differentiator Using Radial Basis Function
- Fractional Order Derivative and Integral Computation with a Small Number of Discrete Input Values Using Grünwald–Letnikov Formula
- Theory and Numerical Approximations of Fractional Integrals and Derivatives
- Discretization schemes for fractional-order differentiators and integrators
- Nature’s Patterns and the Fractional Calculus
- On the Laguerre Rational Approximation to Fractional Discrete Derivative and Integral Operators
- Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement
- Fractional Calculus