Stochastic Resonance; A Chaotic Dynamics Approach.
Stochastic Resonance; A Chaotic Dynamics Approach.
(569 K)
Franaszek, M.; Simiu, E.
Physical Review E, Vol. 54, No. 2, 1298-1304, August
1996.
Keywords:
chaos; noise (sound)
Abstract:
For a class of multistable systems it follows from
qualitative results of Melnikov theory that
deterministic and stochastic excitations play equivalent
roles in the promotion of chaos. We use such results to
suggest: (1) a method for assessing the role of the
noise spectrum in enhancing the signal-to-noise ratio
(SNR), the most effective spectral shape being that for
which the power is distributed closest to the frequency
of the Melnikov scale factor's peak; (2) a method for
more effective SNR enhancement than can be achieved by
increasing the noise, wherein the noise is left
unchanged and a harmonic excitation with frequency based
on the system's Melnikov scale factor is added to the
system. The effectiveness of our Melnikov-based methods
is confirmed by numerical simulations. The principle of
a practical and effective nonlinear transduction device
for enhancing SNR is proposed and demonstrated
numerically.
Building and Fire Research Laboratory
National Institute of Standards and Technology
Gaithersburg, MD 20899