4.5 Article

Enhancement of detectability of noisy signals by stochastic resonance in arrays

Journal

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 14, Issue 5, Pages 1655-1670

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021812740401028X

Keywords

stochastic resonance; noise reduction; nonlinear oscillators

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We propose a scheme to detect signals immersed in strong, externally imposed, undesirable noise (jamming) by making use of the principle of stochastic resonance. The strategy is to construct an array of simple nonlinear oscillators and to apply independent, modulating noise to each oscillator. We show that the collective effect of all oscillators and the interplay between nonlinearity and different noise sources can enhance the detectability of the original signal. For proof of principle we focus on periodic signals mixed with in-band, Gaussian jamming. In particular, we show by both extensive numerical computations and physical arguments that measures of the detectability such as the signal-to-noise ratio can be increased in our scheme. We suggest how the scheme can be implemented in laboratory experiments.

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