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PDE-Based Signal Quantization

Belahmidi, Abdelmounim (2006), PDE-Based Signal Quantization, Journal of Applied Mathematics and Computing, 22, 3, p. 117-132. http://dx.doi.org/10.1007/BF02832041

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00003307/en/
Date
2006
Journal name
Journal of Applied Mathematics and Computing
Volume
22
Number
3
Publisher
Springer
Pages
117-132
Publication identifier
Metadata
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Author(s)
Belahmidi, Abdelmounim
Abstract (EN)
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.
Subjects / Keywords
Numerical approximation; Variational methods; Partial differential equations; Reaction-Diffusion model; Signal quantization