Abstract
We consider a two-dimensional nonlinear electrical lattice of N×N identical cells modeling a two-dimensional discrete Nagumo equation. Appropriate description of the function describing the nonlinearity allows to predict analytically the temporal behavior of coherent signals, weakly varying in space, on which are superimposed perturbations of small amplitude. Applications to the improvement of signal to noise ratio of signals or images are proposed.
Résumé
Un réseau électrique non linéaire bidimensionnel, constitué de N×N cellules identiques, et modélisant l’équation de Nagumo discrète est présenté. À l’aide d’une nouvelle description de la fonction non linéaire, on peut prédire analytiquement l’évolution temporelle de la partie cohérente du signal, ainsi que celle des perturbations de petites amplitudes qui lui sont superposées. Enfin, des applications à l’amélioration du rapport signal sur bruit, ou au traitement d’images sont suggérées.
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Comte, JC., Marquié, P., Bilbault, JM. et al. Noise removal using a nonlinear two-dimensional diffusion network. Ann. Télécommun. 53, 483–487 (1998). https://doi.org/10.1007/BF02998593
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DOI: https://doi.org/10.1007/BF02998593
Key words
- Nonlinear circuit
- Nonlinear filtering
- Two dimensional filtering
- Diffusion equation
- Finite difference equation
- Noise reduction