Parallel Array Bistable Stochastic Resonance System with Independent Input and Its Signal-to-Noise Ratio Improvement

We study the design enhancement of the bistable stochastic resonance (SR) performance on sinusoidal signal and Gaussian white noise. The bistable system is known to show an SR property; however the performance improvement is limited. Our work presents two main contributions: first, we proposed a parallel array bistable system with independent components and averaged output; second, we give a deduction of the output signal-to-noise ratio (SNR) for this system to show the performance. Our examples show the enhancement of the system and how different parameters influence the performance of the proposed parallel array.

[1]  Derek Abbott,et al.  Stochastic resonance in a parallel array of nonlinear dynamical elements , 2008 .

[2]  Derek Abbott,et al.  Noise-enhanced snr gain in parallel array of bistable oscillators , 2006 .

[3]  Wiesenfeld,et al.  Theory of stochastic resonance. , 1989, Physical review. A, General physics.

[4]  Gregoire Nicolis,et al.  Stochastic resonance , 2007, Scholarpedia.

[5]  Noise sustained propagation: local versus global noise , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Jung,et al.  Collective response in globally coupled bistable systems. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[7]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[8]  J. Kurths,et al.  Stochastic resonance in an ensemble of bistable systems under stable distribution noises and nonhomogeneous coupling. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  G. V. Anand,et al.  Design of detectors based on stochastic resonance , 2003, Signal Process..

[10]  G. A. Johnson,et al.  Stochastic resonance in coupled nonlinear dynamic elements. , 1998, Chaos.

[11]  P. Landa Mechanism of stochastic resonance , 2004 .

[12]  K. Miyakawa,et al.  Array-enhanced coherence resonance and phase synchronization in a two-dimensional array of excitable chemical oscillators. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  G. Parisi,et al.  A Theory of Stochastic Resonance in Climatic Change , 1983 .

[14]  W. Marsden I and J , 2012 .

[15]  François Chapeau-Blondeau,et al.  Constructive role of noise in signal detection from parallel arrays of quantizers , 2005, Signal Process..

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

[17]  G. Parisi,et al.  Stochastic resonance in climatic change , 1982 .

[18]  M. Melamed Detection , 2021, SETI: Astronomy as a Contact Sport.

[19]  Hamidreza Amindavar,et al.  Analytical investigation of stochastic resonance phenomenon in linear detectors and comparison to maximum likelihood detector with application in co-channel interferer channels , 2013, IET Signal Process..

[20]  Di He,et al.  Chaotic Stochastic Resonance Energy Detection Fusion Used in Cooperative Spectrum Sensing , 2013, IEEE Transactions on Vehicular Technology.