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Issue Eur. Phys. J. B
Volume 69, Number 1, May I 2009
Stochastic Resonance
Page(s) 5 - 10
Section Topical issue on Stochastic Resonance
DOI 10.1140/epjb/e2009-00097-3
Published online 18 March 2009

Eur. Phys. J. B 69, 5-10 (2009)
DOI: 10.1140/epjb/e2009-00097-3

Noise color and asymmetry in stochastic resonance with silicon nanomechanical resonators

T. Dunn, D.N. Guerra and P. Mohanty

Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, 02215 Massachusetts, USA

mohanty@physics.bu.edu

Received 20 November 2008 / Received in final form 10 February 2009 / Published online 18 March 2009

Abstract
Stochastic resonance with white noise has been well established as a potential signal amplification mechanism in nanomechanical two-state systems. While white noise represents the archetypal stimulus for stochastic resonance, typical operating environments for nanomechanical devices often contain different classes of noise, particularly colored noise with a 1/f spectrum. As a result, improved understanding of the effects of noise color will be helpful in maximizing device performance. Here we report measurements of stochastic resonance in a silicon nanomechanical resonator using 1/f noise and Ornstein-Uhlenbeck noise types. Power spectral densities and residence time distributions provide insight into asymmetry of the bistable amplitude states, and the data sets suggest that $1/f^{\alpha}$ noise spectra with increasing noise color (i.e. $\alpha$) may lead to increasing asymmetry in the system, reducing the achievable amplification. Furthermore, we explore the effects of correlation time $\tau$ on stochastic resonance with the use of exponentially correlated noise. We find monotonic suppression of the spectral amplification as the correlation time increases.

PACS
85.85.+j - Micro- and nano-electromechanical systems (MEMS/NEMS) and devices.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.45.-a - Nonlinear dynamics and chaos.

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2009


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