Closed-form higher-order numerical differentiators for differentiating noisy signals

DOI10.1016/j.amc.2019.04.028zbMath1429.65159OpenAlexW2946607308WikidataQ127938117 ScholiaQ127938117MaRDI QIDQ2279431

Chein-Shan Liu, Leiting Dong

Publication date: 12 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.04.028

zbMATH Keywords

test functionsexactly determining the expansion coefficientshigher-order numerical differentialsnonlinear inverse vibration problemweak-form numerical differentiator

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Cites Work

• Unnamed Item
• Unnamed Item
• The recovery of external force in nonlinear system by using a weak-form integral method
• An iterative \(GL(n,\mathbb{R})\) method for solving non-linear inverse vibration problems
• Robust exact differentiation via sliding mode technique
• Perturbation methods in applied mathematics
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Linear time-derivative trackers.
• An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile
• Exactly determining the expansion coefficients in the recovery of space-dependent pollutant source
• A novel Lie-group theory and complexity of nonlinear dynamical systems
• The existence of similar solutions for some laminar boundary layer problems
• A scheme for stable numerical differentiation
• On stable numerical differentiation
• Inverse Problems Light: Numerical Differentiation
• Simultaneous approximation with the RAFU method
• A real-time Lie-group differential algebraic equations method to solve the inverse nonlinear vibration problems
• On convergence of tracking differentiator
• A GL(n,R) Differential Algebraic Equation Method forNumerical Differentiation of Noisy Signal
• Computational Methods in Engineering: A Variety ofPrimal & Mixed Methods, with Global & LocalInterpolations, for Well-Posed or Ill-Posed BCs
• A Fictitious Time Integration Method for the Numerical Solution of the Fredholm Integral Equation and for Numerical Differentiation of Noisy Data, and Its Relation to the Filter Theory
• Higher-order sliding modes, differentiation and output-feedback control
• Discrete-time implementation of high-gain observers for numerical differentiation
• A simple noniterative method for recovering a space‐dependent load on the Euler‐Bernoulli beam equation
• Highly accurate algorithms endowing with boundary functions for solving a nonlinear beam equation involving an integral term
• Linear tracking-differentiator and application to online estimation of the frequency of a sinusoidal signal with random noise perturbation
• Finite-Time-Convergent Differentiator Based on Singular Perturbation Technique
• Exact Differentiation of Signals With Unbounded Higher Derivatives

This page was built for publication: Closed-form higher-order numerical differentiators for differentiating noisy signals