Luis
Pesquera(1), S. Ortín(1), M. Jacquot(2),
M. Peil(2),L. Larger(2)
(1) Instituto de
Física de Cantabria (CSIC-UC), Santander, Spain.
(2) UMR CNRS FEMTO-ST 6174/Optics Dpt,
Université de Franche-Comté, Besançon, France
Nonlinear dynamics
reconstruction of
chaotic cryptosystems based on a laser
diode subject to optoelectronic feedback with fixed and variable delay
Chaotic
communication is a promising technique to
complement quantum or software cryptography. However, security of these
systems
remains the key issue to be addressed. In this talk we consider a chaotic communication system
with a transmitter based on a DBR laser
subject to optoelectronic feedback with fixed and variable delay. The signal is encrypted within
the high dimensional chaotic fluctuations of
the wavelength of the tunable laser diode. It is shown that the
nonlinear dynamics of the chaotic carrier can be reconstructed from
experimental time
series when the time delay is fixed. The
transmitter nonlinear dynamics is reconstructed by using a modular
neural
network. It is found that the required number of neurons to
achieve similar
training errors does not increase with the delay time, even though the
system
is high dimensional. However, the training error increases with the
feedback
strength. The nonlinear
model is used as the receiver to
extract the message. Therefore these systems are vulnerable when the time delay is fixed. It has been
proposed to use a variable time delay
to enhance the security. A
first step to break the system is the extraction of the time
delay. It is shown that the periodic
time delay can be extracted from
experimental data.
Different periodic functions are
considered for the time delay. The period of the time delay is
obtained from
the mutual information. Applying a modified filling factor method the
periodic
time delay function is recovered for different periods and modulation
depths.