PDE model with memory term applied to signal quantization. Mathematical and numerical analysis.

Abdelmounim Belahmidi (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We presente a new method for signal restoration/quantization based on diffusion reaction model with memory term. We prove that the model is stable, with the existence and uniqueness results. We also propose a numerical approximation that we prove the convergence and present some experiments on noisy signals.

Mots clés: Signal quantization; Reaction-Diffusion model; Partial differential equations; Variational methods; Numerical approximation

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]; Recherche d'information [cs.IR]

Abdelmounim Belahmidi. PDE model with memory term applied to signal quantization. Mathematical and numerical analysis.. 2004. ⟨hal-00003307⟩