Stochastic resonance in locally optimal detectors

The aim of the paper is to show that the nonlinear effect known as stochastic resonance, which corresponds to the improvement of the processing of information by noise, occurs naturally in some detection problems. We illustrate this by studying the problem of detecting a small amplitude sinusoid in non-Gaussian noise. We show that in some cases, the nonlinearity that appears in locally optimal detectors can be viewed as a stochastic resonator. If the parameters of the locally optimal detector (LOD) are not well tuned, the performance can be improved by the addition of noise.

[1]  Bulsara,et al.  Information-theoretic stochastic resonance in noise-floor limited systems: the case for adding noise , 2000, Physical review letters.

[2]  Z. Hou,et al.  Stochastic bi-resonance without external signal in the CO+O2 catalytic oxidation reaction system , 1999 .

[3]  Pierre-Olivier Amblard,et al.  On the use of stochastic resonance in sine detection , 2002, Signal Process..

[4]  M. M. Alibegov.  Stochastic resonance in threshold systems. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  Peter Grigg,et al.  Effects of Colored Noise on Stochastic Resonance in Sensory Neurons , 1999 .

[6]  Pierre-Olivier Amblard,et al.  Stochastic resonance in discrete time nonlinear AR(1) models , 1999, IEEE Trans. Signal Process..

[7]  Z. Hou,et al.  Stochastic resonance in the absence and presence of external signals for a chemical reaction , 1999 .

[8]  François Chapeau-Blondeau,et al.  Input-output gains for signal in noise in stochastic resonance , 1997 .

[9]  Bin Wang,et al.  Stochastic Dynamics of El Nino-Southern Oscillation* , 1999 .

[10]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[11]  L. Gammaitoni,et al.  Stochastic resonance and the dithering effect in threshold physical systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Bulsara,et al.  Signal detection statistics of stochastic resonators. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  François Chapeau-Blondeau,et al.  Theory of stochastic resonance in signal transmission by static nonlinear systems , 1997 .

[14]  F. Chapeau-Blondeau.  Nonlinear test statistic to improve signal detection in non-Gaussian noise , 2000, IEEE Signal Processing Letters.

[15]  J. Rung,et al.  General measures for signal-noise separation in nonlinear dynamical systems. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  A. Dhara.  Enhancement of signal-to-noise ratio , 1997 .

[17]  A. B. Uzdenslry.  A Cytologist's View of Resonance Mechanisms for Biologic Effects of ELF Magnetic Fields , 1999 .

[18]  Patrick Marquié,et al.  Noise-Enhanced Propagation in a dissipative Chain of Triggers , 2002, Int. J. Bifurc. Chaos.

[19]  Jung,et al.  Amplification of small signals via stochastic resonance. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[20]  S. Kay,et al.  Can detectability be improved by adding noise? , 2000, IEEE Signal Processing Letters.