Medium-Low-Frequency Signal Detection and Simulation Based on the Principle of Stochastic Resonance

Abstract:

The principle of stochastic resonance in bistable system is introduced firstly. The medium-low-frequency periodic signal and multi-frequency harmonic signal (the large parameter signal) are common in mechanical failure, but it is difficult to achieve stochastic resonance in these signals detection. The signal modulation characteristic is used in this paper to transform the various frequency components into small parameter signals which satisfy the adiabatic approximation theory. On the basis of that, weak signal detection based on stochastic resonance theory is realized. Then a mixing circuit system based on stochastic resonance is designed, the circuit first makes a frequency selection processing with a mixer on the mixed signal between the measurable signal and a scanning signal, and then it is input to the nonlinear bistable system to realize signal detection based on stochastic resonance. At last, the MATLAB simulation result shows that the circuit can realize the stochastic resonance and detection of weak periodic signal in medium-low frequency from noise background.

• Periodical: Applied Mechanics and Materials (Volumes 105-107)
• Pages: 1991-1994
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.105-107.1991
• Online since: September 2011
• Authors: Wen Li Zhao, Yuan Ping Yin, Jin Liu
• Keywords: MATLAB Simulation, Medium-Low-Frequency Weak Signal, Stochastic Resonance

References

[1] G. Hu: Stochastic forces and nonlinear systems (ShangHai Scientific & Technological education Publishing House, China 1994), p.220.

[2] Fauve S and Heslot F. Stochastic resonance in a bistable system (Phys Lett, 1983), Vol. 97(1983), No.1 and No.2, p.5

[3] F.R. Palomo J.M. Quero and L.G. Franquelo: IEEE International Symposium(May 26-29,2002), Vol. 4 (2002), No.1, p.505.

[4] L. Gammaitoni, P. Hanggi and P. Jung. Stochastic resonance (Rev Modern Phys. 1998), p.70(1):223.

[5] W.L. Zhao, L.H. Guo and F. Tian: Proceeding of the 2nd IEEE/ASME international conference on Mechatronic and Embedded Systems and Applications (Beijing, China, September 13-16, 2006). Vol. 10 (2006) No.5, 2006, p.1.

[6] W.L. Zhao L.Z. Wang and J.E. Cai: Conference Proceedings of ICEMI (Beijing, China August 6, 2005) Vol. (2005).

[7] W.L. Zhao,F. Tian and L.D. Shao: Chinese Journal of Scientific Instrument, Vol. 28 (2007) No.10, p.1787.

[8] M. Lin and Y.M. Huang: ACTA PHYSICA SINICA, Vol. 55 (2006) No.07, p.3277.