6533b821fe1ef96bd127c380

RESEARCH PRODUCT

Pattern dynamics in a nonlinear electrical lattice

Stéphane BinczakPatrick MarquiéJean-marie Bilbault

subject

Signal processing[ INFO.INFO-TS ] Computer Science [cs]/Signal and Image ProcessingNonlinear filteringApplied MathematicsMathematical analysis[ SPI.SIGNAL ] Engineering Sciences [physics]/Signal and Image processing01 natural sciencesBinary signal010305 fluids & plasmasNonlinear systemAmplitude[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS][INFO.INFO-TS]Computer Science [cs]/Signal and Image ProcessingControl theoryModeling and SimulationLattice (order)0103 physical sciences[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]010306 general physicsNoise removalEngineering (miscellaneous)[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processingMathematics

description

International audience; In this paper, we present experiments using a nonlinear electrical line, modeling the FitzHugh-Nagumo equation, without recovery term. Different patterns are studied according to the para meters of this medium and initial conditions. We then propose to apply these results to the domain of signal processing. We show that erosion and dilation of a binary signal, two kinds,of binarization-one depending on an amplitude threshold, the other on an energetical threshold-and nonlinear filtering allowing noise removal can be obtained in the same medium.

https://hal.archives-ouvertes.fr/hal-00649857