基于频率控制的自适应随机共振系统研究

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (2) : 91-96.

论文

基于频率控制的自适应随机共振系统研究

张刚1,2，胡韬1，张天骐1,2

作者信息 +

Research on an adaptive stochastic resonance system based on frequency control

ZHANG Gang1,2，HU Tao1，ZHANG Tian-qi1,2

Author information +

文章历史 +

摘要

研究双稳Duffing系统随机共振产生机理，针对不满足绝热近似条件的大参数信号，提出基于频率控制自适应随机共振微弱信号检测系统，实现对未知大频率微弱信号检测。仿真结果表明，该系统能实现大频率信号随机共振，较传统随机共振系统精度及系统输出信噪比均极大提高，并能扩展其在微弱信号检测领域的应用。

Abstract

The stochastic resonance in Bistable Duffing System is studied in this paper. For the large parameter condition which does not meet the adiabatic approximation, a kind of adaptive stochastic resonance weak signal detection system based on frequency control is proposed in this paper. It can detect the unknown high frequency weak signal. The simulation results show that the system can realize high frequency signal stochastic resonance. Compared with the traditional stochastic resonance system, its precision and system output signal-to-noise ratio is greatly improved, and its application in the weak signal detection field is extended.

导出引用

张刚1,2，胡韬1，张天骐1,2. 基于频率控制的自适应随机共振系统研究[J]. 振动与冲击, 2016, 35(2): 91-96

ZHANG Gang1,2，HU Tao1，ZHANG Tian-qi1,2. Research on an adaptive stochastic resonance system based on frequency control[J]. Journal of Vibration and Shock, 2016, 35(2): 91-96

参考文献

[1] Benzi R, Sutera A, Vulpiani A. The mechanism of stochastic resonance[J] . Physics,A, 1981,14: 453-457.
[2] FauveS, Heslot F. Stochastic resonance in a bistable system[J] . Phys. Lett, 1983,97:5-7.
[3] 李月,杨宝俊. 混沌振子检测引论[M].北京：电子工业出版社,2004: 3-25.
[4] 夏均忠,刘远宏,马宗坡,等. 基于调制随机共振的微弱信号检测研究[J] ．振动与冲击,2012,31 (3) :133-140．
XIA Jun-zhong,LIU Yuan-hong, MA Zong-po, et al.Weak signal detection based on the modulated stochastic resonance[J]. Journal of Vibration and Shock,2012,31(3): 133-140．
[5] 王娜,郑德忠. 基于混沌振子的低信噪比语音端点检测新方法[J].仪器仪表学报,2009,30 (7) :1432-1435．
WANG Na，ZHENG De-zhong. New method for speech endpoint detection under low SNR based on chaotic oscillator[J]．Chinese Journal of Scientific Instrument，2009,30(7) : 1432-1435．
[6] 刘海波,吴德伟,金伟,等. Duffing 振子微弱信号检测方法研[J] .物理学报, 2013, 62(5):050501.1-050501.6.
LIU Hai-bo ,WU De-wei , JIN Wei, et al. Study on weak signal detection method with Duffing oscillators [J]. Acta Physica Sinica , 2013, 62(5):050501.1-050501.6.
[7] 张晓飞,胡茑庆,胡雷,等. 基于倒谱预白化和随机共振的轴承故障增强检测[J].机械工程学报，2012, 48(23): 83-89.
ZHANG Xiao-fei,HU Niao-qing, HU Lei, et al. Enhanced detection of bearing faults based on signal cepstrum pre-whitening and stochastic resonance [J]. Journal of Mechanical Engineering,2012,48(23): 83-89.
[8] He Q B，Wang J．Effects of multiscale noise tuning on stochastic resonance for weak signal detection[J].Digital Signal Processing,2012, 22(4) : 614-621．
[9] Gitterman M. Stochastic resonance in a harmonic oscillator with random mass subject to asymmetric dichotomous noise[J]. Journal of Statistical Physics, 2011, 144(1): 139- 149.
[10] 韩东颖,丁雪娟,时培明. 基于自适应变尺度频移带通随机共振降噪的EMD多频徵弱信号检测[J].机械工程学报, 2013,49(8):10-18.
HAN Dong-ying,DING Xu-juan,SHI Pei-ming. Multi- frequency weak signal detection based on emd after de-noising by adaptive re-scaling frequency-shifted band-pass stochastic resonance[J]. Journal of Mechanical Engineering,2013,49(8): 10-18.
[11] 胡岗. 随机力与非线性系统[M].上海：上海教育出版社,1994:126-145.
[12] 邓辉,冷永刚,王勇太．基于XPE的变尺度级联随机共振系统研究[J].仪器仪表学报,2009,30(10) :2033-2038．
DENG Hui, LENG Yong-gang, WANG Yong-tai.Study on the scale transformation concatenation stochastic resonance system based on XPE[J].Journal of Scientific Instrument,2009,30(10) : 2033-2038．
[13] 冷永刚,赖志慧,范胜波. 二维Duffing振子的大参数随机共振及微弱信号检测研究[J]. 物理学报,2012,63(23):71- 80.
LENG Yong-gang, LAI Zhi-hui, FAN Sheng-bo． Large parameter stochastic resonance of two-dimensional Duffing oscillator and its application on weak signal detection[J]． Acta Physica Sinica, 2012, 63(23): 71-80.