α稳定噪声下一类周期势系统的振动共振

发布时间：2018-05-08 15:40

本文选题：振动共振 + 周期势系统　；参考：《物理学报》2017年10期

【摘要】：将多个低频微弱信号、高频信号和加性α稳定噪声共同激励的一类周期势系统作为研究模型,以平均信噪比增益(MSNRI)为性能指标,对α稳定噪声环境下周期势系统中的振动共振现象进行了研究,分别探究了α稳定噪声的特征参数α、对称参数β、加性噪声强度放大系数D、高频信号幅值B以及频率?对振动共振输出效应的影响.研究结果表明:1)在不同分布的α稳定噪声环境下,固定频率?(或幅值B),当幅值B(或频率?)逐渐增大时,MSNRI-B(或MSNRI-?)曲线出现多个峰值,即存在多个B区间(或?区间)可诱导振动共振,并且这些区间不会随噪声分布参数α或β的变化而变化;2)当加性噪声强度放大系数D发生变化时,幅值B和频率?的共振区间没有随着D的变化而变化,表明只有高频信号能量向待测低频信号转移,噪声能量并没有向待测低频信号转移.另外当幅值B、频率?固定时,随着D的逐渐增大,依然可以实现微弱信号的检测,表明振动共振可以克服工业现场噪声强度不可调控的缺点.本文研究结果提供了一种新的微弱信号检测方法,在信号处理领域有着潜在的应用价值.
[Abstract]:A class of periodic potential systems excited by multiple low frequency weak signals, high frequency signals and additive 伪 stable noise are used as the research model. The average SNR gain is taken as the performance index. The vibration resonance phenomenon of periodic potential system in 伪 stable noise environment is studied. The characteristic parameters 伪, symmetry parameter 尾, magnifying factor D of additive noise intensity, amplitude B of high frequency signal and frequency of 伪 stable noise are studied respectively. The effect on the vibration resonance output effect. The results show that the fixed frequency is fixed in the presence of 伪 stable noise with different distributions. (or amplitude B, when B (or frequency)) MSNRI-B (or MSNRI-B) There are multiple peaks in the curve, that is, there are multiple B intervals (or? Interval) can induce vibration resonance, and these intervals do not change with the variation of noise distribution parameter 伪 or 尾.) when the magnification factor D of additive noise intensity changes, the amplitude B and frequency? The resonance range of D does not change with D, indicating that only the energy of the high frequency signal is transferred to the low frequency signal to be measured, and the noise energy is not transferred to the low frequency signal to be measured. In addition, when the amplitude B, frequency? With the increasing of D, the weak signal can still be detected, which indicates that the vibration resonance can overcome the disadvantage of uncontrollable noise intensity in industrial field. The results of this paper provide a new weak signal detection method, which has potential application value in the field of signal processing.
【作者单位】：西安理工大学自动化与信息工程学院;陕西省复杂系统控制与智能信息处理重点实验室;
【基金】：国家自然科学基金重点项目(批准号:61533014),国家自然科学基金(批准号:U1534208,61503299)资助的课题~~
【分类号】：O32

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