Simultaneous denoising and enhancement of signals by a fractal conservation law

DOI10.1016/j.cnsns.2011.07.001zbMath1246.60062arXiv1004.5193OpenAlexW2028944381MaRDI QIDQ430357

Afaf Bouharguane, Pascal Azerad, Jean-François Crouzet

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.5193

zbMATH Keywords

Fourier transformfinite difference schemefractional calculusenhancementdenoisingfractal operatorFast Fourier transform FFTPDEs filtersSavitzky-Golay filter

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (8)

Water wave propagation in unbounded domains. II: Numerical methods for fractional PDEs ⋮ Stability analysis and error estimates of implicit-explicit Runge-Kutta local discontinuous Galerkin methods for nonlinear fractional convection-diffusion problems ⋮ Operator-splitting local discontinuous Galerkin method for multi-dimensional linear convection-diffusion equations ⋮ A direct discontinuous Galerkin method for a high order nonlocal conservation law ⋮ Splitting methods for the nonlocal Fowler equation ⋮ Efficient numerical schemes for fractional water wave models ⋮ The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations ⋮ Global existence of solutions to the Fowler equation in a neighbourhood of travelling-waves

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