PDE model with memory term applied to signal quantization. Mathematical and numerical analysis.
Belahmidi, Abdelmounim
HAL, hal-00003307 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-11-18
Classification:  Variational methods,  Numerical approximation,  Partial differential equations,  Reaction-Diffusion model,  Signal quantization,  MSC: 35K55, 35K57, 65C20, 65M12, 94A12,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],  [INFO.INFO-IR]Computer Science [cs]/Information Retrieval [cs.IR] 
@article{hal-00003307,
     author = {Belahmidi, Abdelmounim},
     title = {PDE model with memory term applied to signal quantization. Mathematical and numerical analysis.},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003307}
}

Belahmidi, Abdelmounim. PDE model with memory term applied to signal quantization. Mathematical and numerical analysis.. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003307/