基于双稳类随机共振的信息检测

冷永刚; 王太勇; 郭焱; 范胜波; 王永强

基于双稳类随机共振的信息检测

冷永刚^{①;王太勇},
王太勇,
郭焱,
范胜波,
王永强

计量
- 文章访问数: 2065
- HTML全文浏览量: 41
- PDF下载量: 616
- 被引次数: 0
出版历程
- 收稿日期: 2003-11-21
- 修回日期: 2004-10-08
- 刊出日期: 2005-05-19

Information Detection Based on Bistable SR-Like Technique

摘要

摘要: 研究了小参数随机共振(SR)的响应幅值与信号频率和噪声强度的关系,并从噪声频谱的罗伦兹(Lorentz) 分布特性推出,只有在噪声能量集中的低频区域才能产生随机共振的论点。得出了二次采样大参数类随机共振的实现条件,即采样频率至少是信号频率的50倍并根据噪声强度选择二次采样频率。在大参数情况下,由双稳系统输入输出信噪比的分析,阐明了大参数类随机共振方法从强噪声中检测出弱信号的可行性。运用周期和非周期弱信号的检测实例,进一步证明了该方法的有效性和实用性。
- 弱信号检测; 随机共振; 双稳系统; 噪声
Abstract: For small parameter Stochastic Resonance (SR), the relationship among the response amplitude and signal frequency and noise intensity is investigated. The viewpoint of creating SR phenomenon only in the low frequency region where noise energy has been concentrated is also obtained in terms of the Lorentzian distribution of noise power spectrum. The condition of realizing twice sampling large parameter SR-like phenomenon is deduced, i.e., sampling frequency is fifty times signal frequency at least, and twice sampling frequency should be selected according to noise strength. Under large parameters, the analysis of input and output signal-to-ratios of the bistable system indicates the possibility of detecting weak signal submerged in heavy noise with the large parameter SR-like technique. And it is further proved that the technique is effective and practical by means of the examples of the extraction of periodic and aperiodic signals.

HTML全文

参考文献(1)

Benzi R, Sutera A, Vulpiana A. The mechanism of stochastic resonance. Physica A, 1981, 14:L453 - 457.[2]Gammaitoni L, Hanggi P, et al.. Stochastic resonance[J].Rev. Mod.Phys.1998,70(1):223-[3]Bulsara A R, Gammaitoni L. Turning in to noise. Phys. Today,1996, 49(3): 39 - 45.[4]Collins J J, Chow C C, Imhoff T T. Aperiod stochastic resonance in excitable systems[J].Phys. Rev. E.1995, 52:3321-[5]Godivier X, Chapeau-Blondeau F. Noise-assisted signal transmission in a nonlinear electronic comparator: experiment and theory[J].Signal Processing.1997, 56:293-[6]Gammaitoni L. Stochastic resonance in multi-threshold systems[J].Phys. Lett. A.1995, 208:315-[7]Collins J J, Chow C C, Imhoff T T. Stochastic resonance without tuning[J].Nature.1995, 376:236-[8]Jung P, Hanggi P. Amplification of small signal via stochastic resonance[J].Phys. Rev. A.1991, 44(12):8032-[9]Galdi V, Pierro V, Pinto I M. Evaluation of stochastic-resonancebased detectors of weak harmonic signals in additive white Gaussian noise[J].Phys. Rev. E.1998, 57(6):6470-[10]胡岗.随机力与非线性系统.上海:上海科学教育出版社,1994:219-240.[11]Nicolis G, Prigogine I. Self-Organization in Nonequilibrium Sys.New York: Wiley, 1997, chapter 2 - 3.[12]冷永刚,王太勇.二次采样用于随机共振从强噪声中提取弱信号的数值研究.物理学报,2003,52(10):2432-2437.[13]Chapean-Blondeau F. Stochastic resonance at phase noise in signal transmission[J].Phys. Rev. E.2000, 61(1):940-[14]Vilar J M G, Rubi J M. Stochastic multiresonance[J].Phys. Rev.Lett.1997, 78(15):2882-[15]秦光戎,龚德纯,胡岗,温孝东.随机共振的模拟实验.物理学报,1992,41(3):360-368.[16]Gingl Z, Vajtai R, Kiss L B. Signal-to-noise ratio gain by stochastic resonance in a bistable system[J].Chaos, Solitons Fractals.2000, 11:1929-[17]王嘉赋,刘锋,等.随机共振系统输入阈值的频率特性.物理学报,1997,46(12):2305-2312.[18]冷永刚,王太勇,等.变尺度随机共振用于电机故障的监测诊断.中国电机工程学报,2003,23(11):111-115.[19]Hu G, Gong D C, et al.. Stochastic resonance in a nonlinear system driven by an aperiodic force[J].Phys. Rev. A.1992, 46:3250-3254

施引文献

资源附件(0)

访问统计