共查询到17条相似文献,搜索用时 787 毫秒
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研究了乘性非高斯噪声和加性高斯白噪声共同激励下非对称双稳系统的平均首次穿越时间和随机共振问题. 利用路径积分法和两态模型理论,推导出平均首次穿越时间和信噪比的表达式. 研究结果表明:势阱非对称性对两个不同方向的平均首次穿越时间的影响是不同的. 信噪比是加性噪声强度和势阱非对称性的非单调函数,系统出现了随机共振现象;信噪比是乘性噪声强度的单调函数,没有共振峰出现. 这说明该系统中乘性噪声强度和加性噪声强度对信噪比的影响是不同的.
关键词:
非高斯噪声
非对称双稳系统
平均首次穿越时间
随机共振 相似文献
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针对由加性、乘性噪声和周期信号共同作用的线性过阻尼系统, 在噪声交叉关联强度受到时间周期调制的情况下,利用随机平均法推导了系统响应的信噪比的解析表达式. 研究发现这类系统比噪声间互不相关或噪声交叉关联强度为常数的线性系统具有更丰富的动力学特性, 系统响应的信噪比随交叉关联调制频率的变化出现周期振荡型随机共振, 噪声的交叉关联参数导致随机共振现象的多样化.噪声交叉关联强度的时间周期调制的引入有利于提高对微弱周期信号检测的灵敏度和实现对周期信号的频率估计.
关键词:
随机共振
周期振荡型共振
噪声交叉关联强度
信噪比 相似文献
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以微弱周期信号激励的非对称双稳系统为模型,以信噪比增益为指标,首先针对加性和乘性α稳定噪声共同作用的随机共振现象展开了研究,然后针对单独加性α稳定噪声激励的随机共振现象进行了研究,探究了α稳定噪声特征指数α和对称参数β分别取不同值时,系统结构参数a,b,刻画双稳系统非对称性的偏度r以及α稳定噪声强度放大系数Q或D对非对称双稳系统共振输出的作用规律.研究结果表明,无论在加性和乘性α稳定噪声共同作用下还是在单独加性α稳定噪声作用下,通过调节a和b或者r均可诱导随机共振,实现微弱信号的检测,且有多个参数区间与之对应,这些区间不随α或β的变化而变化;在研究噪声诱导的随机共振现象时发现,调节噪声强度放大系数也可使系统产生随机共振现象,且达到共振状态时D的区间也不随α或β的变化而变化.这些结论为α稳定噪声环境下参数诱导随机共振中系统参数以及噪声诱导随机共振中噪声强度的合理选取提供了依据. 相似文献
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研究了乘性非高斯噪声和加性高斯白噪声共同激励下FitzHugh-Nagumo(FHN) 神经元系统的随机共振问题. 利用路径积分法和两态模型理论, 推导出系统信噪比的表达式. 研究结果表明: 系统参数在不同的取值条件下, FHN神经元模型出现了随机共振和双重随机共振现象. 此外, 非高斯参数q在不同的取值条件下, 乘性噪声强度和加性噪声强度对信噪比的影响是不同的. 非高斯噪声的加入有利于增强FHN神经元系统的信号响应. 相似文献
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LUO Xiang-Dong GUO Feng ZHOU Yu-Rong 《理论物理通讯》2009,51(2):283-286
The phenomenon of stochastic resonance (SR) in an asymmetric mono-stable system subject to two external periodic forces and multiplicative and additive noise is investigated. It is shown that the signal-to-noise ratio (SNR) for the fundamental and higher harmonics is a non-monotonic function of the intensities of the multiplicative and additive noise, as well as of the system parameter. Moreover, the SNR for the fundamental harmonic decreases with the increase of the system asymmetry, while the SNR for the higher harmonics behaves non-monotonically as the system asymmetry varies. 相似文献
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Stochastic resonance(SR) is studied in an under-damped bistable system driven by the harmonic mixing signal and Gaussian white noise. Using the linear response theory(LRT), the expressions of the spectral amplification at fundamental and higher-order harmonic are obtained. The effects of damping coefficient, noise intensity, signal amplitude, and frequency on spectral amplifications are explored. Meanwhile, the power spectral density(PSD) and signal-to-noise ratio(SNR) are calculated to quantify SR and verify the theoretical results. The SNRs at the first and second harmonics exhibit a minimum first and a maximum later with increasing noise intensity. That is, both of the noise-induced suppression and resonance can be observed by choosing proper system parameters. Especially, when the ratio of the second harmonic amplitude to the fundamental one takes a large value, the SNR at the fundamental harmonic is a monotonic function of noise intensity and the SR phenomenon disappears. 相似文献
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Feng Guo 《Physica A》2009,388(12):2315-2320
The stochastic resonance in a bias monostable system subject to frequency mixing force and multiplicative and additive noise is investigated. Based on the adiabatic elimination theory, the analytic expressions of the signal-to-noise ratio (SNR) for the fundamental and higher harmonics are obtained. It is shown that the SNR is a non-monotonic function of the intensities of the multiplicative and additive noise, as well as the system parameter. Moreover, the SNR for the fundamental harmonic decreases with the increase of the system bias, while the SNR for the higher harmonics behaves non-monotonically as the system bias varies. 相似文献
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The stochastic resonance (SR) is studied in an overdamped linear system driven by multiplicative and additive noise when the additive noise is a linear combination of an asymmetric dichotomous noise and its square. The exact expressions are obtained for the first two moments and the correlation function and the SR phenomenon appeared. There are three different forms of SR: the bona fide SR, the conventional SR and SR in the broad sense. Moreover, the asymmetry of multiplicative noise has different effect on signal-to-ratio (SNR) for the first two different forms of SR and the effects of multiplicative noise and additive noise on SNR are different. 相似文献
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Stochastic resonance in linear system driven by multiplicative noise and additive quadratic noise 下载免费PDF全文
In this paper the stochastic resonance (SR) is studied in an overdamped linear system
driven by multiplicative noise and additive quadratic noise. The exact
expressions are obtained for the first two moments and the correlation
function by using linear response and the properties of the dichotomous noise.
SR phenomenon exhibits in the linear system. There are three different forms
of SR: the bona fide SR, the conventional SR and SR in the broad sense.
Moreover, the effect of the asymmetry of the multiplicative noise on the
signal-to-noise ratio (SNR) is different from that of the additive noise and
the effect of multiplicative noise and additive noise on SNR is different. 相似文献
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ZHANG Liang-Ying CAO Li WU Da-Jin 《理论物理通讯》2008,49(5):1310-1314
A single-mode laser noise model driven by quadratic colored pump noise and amplitude modulation signal is proposed. The real and imaginary
parts of the pump noise are assumed to be cross-correlation. The effect of
cross-correlation of noise and amplitude modulation of signal on laser
statistical properties is studied by using the linearized approximation. The
analytic expression of signal-to-noise ratio (SNR) is calculated. It is
found that the phenomena of stochastic resonance (SR) respectively exist in the
curves of the SNR versus the noise cross-correlation coefficient λ
and the SNR versus the pump parameter a, as well as the SNR versus the
signal frequency
ω in our model. It is shown that there are three different typies of SR in the model: the conventional form of SR, the SR in the broad sense, and the bona fide SR. 相似文献