Various important effects brought by noise in nonlinear systems, such as noise inducing phase transition, stochastic resonance, nonequilibrium fluctuation-induced transport, open up a wide range of applicability of the stochastic theory <中文摘要>=非线性系统中噪声所产生的各种重要效应,如噪声诱导相变、随机共振现象、非平衡涨落诱导输运等为随机理论开辟了十分广阔的应用前景。
With the development of sr, it has far been found to account for many natural phenomena and shown a large number of applications in different areas of technology, among which signal processing via stochastic resonance is a worth subject to be concerned 随着研究的深入,在被用来解释许多不同领域的自然现象之外,随机共振现象开始获得了一些应用,而随机共振在信号处理中的应用则是其中倍受关注的一个。
However, when the input noise is the double-peak gaussian mixture noise, the noise can improve the signal correlation for the subthreshold signal and the suprathreshold signal, i . e ., both sr and suprathreshold stochastic resonance ( ssr ) often occurs 而当输入噪声为双峰高斯混合噪声时,不仅输入信号在阈下时随机谐振现象有时存在,而且输入信号在阈上时噪声往往也能改善信号的相关性,即阈上随机谐振现象存在。
When there is a weak periodic signal is included in a bistable system, the effects of noise on the stochastic resonance in the system is investigated if both multiplicative and additive noise are white noise while the coupling between the two noise terms is colored noise 当双稳系统中包含有一个微弱的周期性信号,而乘性噪声和加性噪声都是白噪声,只有两种噪声之间的祸合为色噪声时,我们研究了系统的噪声对随机共振的影响。
After we present the concepts of " coherence resonance " and " stochastic resonance ", to further study the hh neuron model, we introduce some properties of the hh equation, for example, the threshold of neuron's exciting, the responses of neuron toward different stimulations 在介绍了“相干共振”和“随机共振”的一些概念后,在hh神经元模型的基础上,本文给出了hh方程的一些特性,比如说神经元的兴奋有阈值,在受不同刺激时有不同的响应等。
stochastic resonance has attracted the attentions in many fields of science in recent decades, but it is a new method and theory in signal processing . in context of signal processing, for signal transmission by nonlinear systems, stochastic resonance is commonly described as an increase hi the signal-to-noise ratio ( snr ) at the output, which is obtained through an increase of noise level or tuning system parameters 从信号处理的角度来讲,随机共振是在非线性系统信号处理中,输入为强噪声背景下的微弱信号,系统输出以适宜的物理量来衡量,如信噪比,通过调节输入噪声强度或系统参数,都可使得系统输出信噪比达到一个最大值,此时,称信号、噪声和非线性系统所产生的协同现象为随机共振。
Stochastic resonance has attracted the attentions in many fields of science in recent decades, but it is a new method and theory in signal processing . in context of signal processing, for signal transmission by nonlinear systems, stochastic resonance is commonly described as an increase hi the signal-to-noise ratio ( snr ) at the output, which is obtained through an increase of noise level or tuning system parameters 从信号处理的角度来讲,随机共振是在非线性系统信号处理中,输入为强噪声背景下的微弱信号,系统输出以适宜的物理量来衡量,如信噪比,通过调节输入噪声强度或系统参数,都可使得系统输出信噪比达到一个最大值,此时,称信号、噪声和非线性系统所产生的协同现象为随机共振。
stochastic resonance is a new and very important embranchment in the nonlinear academic domain . it is a very important new thought of combining sr theory and dsp technology together to form a faint signal detecting system, which is used in weak signal detection under strong background 随机共振是目前非线性学术领域的一个新兴的重要的分支,而把随机共振理论和dsp技术结合起来形成强噪声背景下的小信号检测系统并应用到实际工程信号的检测中去则是本文的一个创新点。
Secondly, combining the unified colored noise approximation and the functional analysis, the steady state distribution function is derived when both multiplicative colored noise and additive white noise are included in a bistable system with colored coupling between two kinds of noise . through the two-state theory, the expression of signal-to-noise ratio ( snr ) is obtained . the phenomenon of stochastic resonance is investigated 其次,我们综合运用统一色噪声近似和泛函近似的方法,推导了含有乘性色噪声和加性白噪声,并且两种噪声之间的耦合为色噪声的双稳非线性系统的定态分布摘要不同类型的色噪声对非线性光学系统的影响函数,然后通过双态理论求出系统信噪比的解析表达式,对系统的随机共振现象进行分析。
stochastic resonance ( sr ) is a counterintuitive phenomenon of nonlinear dynamic systems wherein the noise ( stochastic force ) plays a constructive role . this phenomenon has then attracted much attention in the past two decades, and it has been observed that sr can occur in a wide variety of systems 随机共振现象是非线性动力学系统中的一种反直观的现象,当一个非线性动力学系统受到一个随机力(噪声)的激励,也就是系统输入具有一个连续的频谱,系统和输入的随机激励之间会产生一种协同作用,使得系统输出的性能有所提高,这一现象被称为随机共振。