Computing derivatives of noisy signals using orthogonal functions expansions

DOI10.1007/s10915-008-9193-9zbMath1203.94018OpenAlexW2019948384MaRDI QIDQ618391

Adi Ditkowski, Abhinav Bhandari, Brian W. Sheldon

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9193-9

zbMATH Keywords

orthogonal polynomialsspectral methodsnoise filtering

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical differentiation (65D25) Application of orthogonal and other special functions (94A11)

Related Items (2)

A new method for estimating derivatives based on a distribution approach ⋮ Fault tolerant control allocation using unknown input observers

Cites Work

• A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
• Spectral Methods for Time-Dependent Problems
• On the Gibbs Phenomenon and Its Resolution
• Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique
• Scattered Data Approximation
• Unnamed Item
• Unnamed Item

This page was built for publication: Computing derivatives of noisy signals using orthogonal functions expansions