A Tri-Stable stochastic resonance model and its applying in detection of weak signal

Stochastic resonance(SR) is a new important branch in the nonlinear academic fields. And the SR system means a nonlinear system, in the effect of a small periodic signal and also noise of high energy, then the system will produce stochastic resonance phenomenon so that the output signal was significantly enhanced. The existing SR research especially in weak signal monitoring, mostly are based on the bistable system. This paper aims at the weak signal detection, using the SR phenomenon,and proposes a Tri-Stable SR model.Then we take the energy state simulation and find the potential energy distribution in our system,and successfully establish a Tri-Stable model with three potential wells. At the same time we use the two different models(bistable and tri-stable) to paly on the simulation signal in which the useful part is corrupted by the strong noise.Here we process the system with fourth-order Runge-Kutta method and explain the structure characteristics of Tri-Stable SR model.It can further amplify the signal-to-noise ratio, in low SNR signal detection and has considerable application foreground.

[1]  Fanrang Kong,et al.  Multiscale noise tuning of stochastic resonance for enhanced fault diagnosis in rotating machines , 2012 .

[2]  Wang Yu.  Calculation of Magnetic Force of Permanent Magnet Devices , 2007 .

[3]  Wang Taiyong,et al.  Numerical research of twice sampling stochastic resonance for the detection of a weak signal submerged in a heavy Noise , 2003 .

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

[5]  Qingbo He,et al.  Multiscale noise tuning stochastic resonance enhances weak signal detection in a circuitry system , 2012 .

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

[7]  Yang Yongmin,et al.  Stochastic resonance mechanism for wideband and low frequency vibration energy harvesting based on piezoelectric cantilever beams , 2011 .

[8]  D. Inman,et al.  A piezomagnetoelastic structure for broadband vibration energy harvesting , 2009 .

[9]  F. Chapeau-Blondeau,et al.  Fisher Information as a Metric of Locally Optimal Processing and Stochastic Resonance , 2012, PloS one.

[10]  A R Bulsara,et al.  Signal detection via residence-time asymmetry in noisy bistable devices. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Zhang Yu,et al.  Experimental research of weak signal detection based on the stochastic resonance of nonlinear system , 2010 .

[12]  Bruno Ando,et al.  Nonlinear mechanism in MEMS devices for energy harvesting applications , 2010 .

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

[14]  Fei Long,et al.  Stochastic resonance induced by bounded noise and periodic signal in an asymmetric bistable system , 2012 .

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

[16]  Daming Lin,et al.  A review on machinery diagnostics and prognostics implementing condition-based maintenance , 2006 .

[17]  Jun Wang,et al.  Effects of multiscale noise tuning on stochastic resonance for weak signal detection , 2012, Digit. Signal Process..

[18]  R. Engel-Herbert,et al.  Calculation of the magnetic stray field of a uniaxial magnetic domain , 2005 .

[19]  Derek Abbott,et al.  Exploring weak-periodic-signal stochastic resonance in locally optimal processors with a Fisher information metric , 2012, Signal Process..

[20]  S. Baglio,et al.  Improved Energy Harvesting from Wideband Vibrations by Nonlinear Piezoelectric Converters , 2010 .