The difficulty for selecting the best system parameters restricts engineering applications to frequency-shifted and re-scaling stochastic resonance(FRSR). An adaptive FRSR method with time-domain and frequency-domain indexes is developed
where the station of the highest spectral peak and the variance of the zero-crossing distance are chosen as the objective functions
and the optimal parameters are obtained adaptively without predicting the exact frequency of the target signal. Once FRSR is involved
the proposed method is able to detect high frequency
while the traditional stochastic resonance is only for low frequency. The simulation and engineering application on fault diagnosis indicate the ability for weak periodic signals buried in heavy noise.
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BENZI R, SUTERA A, VULPIANA A. The mechanism of stochastic resonance [J]. Journal of Physics A: Mathematical and General, 1981, 14(11):L453-L457.
GAMMAITONI L, HÄNGGI P, JUNG P, et al. Stochastic resonance [J]. Reviews of Modern Physics, 1998, 70(1): 223-287.
YANG Dingxin, HU Niaoqing, WEN Xisen. Stability analysis for numerical simulation model of bistable system [J]. Acta Simulate Systematica Sinica, 2005, 17(10):31-33.
LENG Yonggang, WANG Taiyong, GUO Yan, et al. Stochastic resonance behaviors of bistable systems connected in series [J]. Acta Physica Sinica, 2005,54(3):1118-1125.
GORA P F. An exactly solvable nonlinear model: constructive effects of correlations between Gaussian noises [J]. Physica: A, 2007, 378(2):201-210.
XU B, DUAN F, BAO R, et al. Stochastic resonance with tuning system parameters: the application of bistable systems in signal processing [J]. Chaos, Solitons Fractals, 2002, 13(4): 633-644.
MITAIM S, KOSKO B. Adaptive stochastic resonance IEEE Special issue on intelligent signal processing, [J]. 1998, 86(11): 2152-2183.
DENG Xuexin, WANG Taiyong, LENG Yonggang,et al. Study on adaptive swept stochastic resonance algorithm [J]. Journal of Xi'an Jiaotong University, 2005,39(1):108-110.
TAN Jiyong, CHEN Xuefeng, WANG Junying, et al. Study of frequency-shifted and re-scaling stochastic resonance and its application to fault diagnosis [J]. Mechanical Systems and Signal Processing, 2009(23):811-822.
STOCKS N G. Suprathreshold stochastic resonance in multilevel threshold systems [J]. Physical Review Letters, 2000, 84(11):2310-2313.