Effect of White Noise and Dichotomous Noise in a Bistable System

2011 ◽  
Vol 295-297 ◽  
pp. 2143-2146 ◽  
Author(s):  
Feng Guo ◽  
Xiao Feng Cheng ◽  
Xiao Dong Yuan ◽  
Shao Bo He
Keyword(s):  
White Noise ◽  
Adiabatic Approximation ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Signal To Noise ◽  
Dichotomous Noise ◽  
System Parameters ◽  
Additive White Noise ◽  
Asymmetric Dichotomous Noise

The stochastic resonance in a bistable system subject to asymmetric dichotomous noise and multiplicative and additive white noise is investigated. By using the properties of the dichotomous noise, under the adiabatic approximation condition, the expression of the signal-to-noise ratio (SNR) is obtained. It is found that the SNR is a non-monotonic function of the asymmetry of the dichotomous noise, and it varies non-monotonously with the intensities of the multiplicative and additive noise as well as with the system parameters. Moreover, the SNR depends on the correlation rate of the dichotomous noise.

STOCHASTIC RESONANCE ENHANCED BY WHITE NOISE IN A STOCHASTIC BISTABLE SYSTEM

2011 ◽  
Vol 25 (28) ◽  
pp. 3797-3804 ◽  
Author(s):  
GUO FENG ◽  
YU-RONG ZHOU ◽  
SHAO-FU LI
Keyword(s):  
White Noise ◽  
Stochastic Resonance ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Static Force ◽  
Noise Strength ◽  
Signal To Noise ◽  
System Parameters ◽  
Additive White Noise

The stochastic resonance (SR) for a stochastic bistable system driven by a static force and a periodic square-wave signal as well as by additive white noise is considered from the view of signal-to-noise ratio (SNR). It is found that the SNR appears SR behavior when it is plotted as a function of the additive noise strength or as a function of the system parameters. Moreover, the influence of the static force is opposite to that of the amplitude of the stochastic potential.

Stochastic Resonance Enhanced by Colored Multiplicative and Additive Noises in a Time-Delayed Bistable System

2012 ◽  
Vol 538-541 ◽  
pp. 2598-2601
Author(s):  
Feng Bao Li ◽  
Xiao Yan Lei ◽  
Fu Cheng Zhu
Keyword(s):  
Stochastic Resonance ◽  
Colored Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Constant Force ◽  
Signal To Noise ◽  
Dichotomous Noise ◽  
Square Wave ◽  
Wave Signal ◽  
Asymmetric Dichotomous Noise

The phenomenon of stochastic resonance (SR) in a time-delayed bistable system with square-wave signal, a constant force, with asymmetric dichotomous noise and multiplicative and additive colored noise is investigated. It is found that, the SR behavior can be observed on the signal-to-noise ratio (SNR) curves as a function of the intensity and asymmetry of the dichotomous noise, as a function of the amplitude of the square-wave, the constant force, as well as of the strength of the colored noises.

Stochastic Resonance in FitzHugh-Nagumo Neural Model

2013 ◽  
Vol 415 ◽  
pp. 298-302
Author(s):  
Deng Rong Zhou ◽  
Jian Chun Gong ◽  
Dan Li
Keyword(s):  
Stochastic Resonance ◽  
Adiabatic Approximation ◽  
Multiplicative Noise ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Neural Model ◽  
System Parameters ◽  
Maximum Value ◽  
External Incentives ◽  
Delayed Time

Stochastic resonance is a non-linear phenomenon where the output response of the dynamic system reaches the maximum value under the joint action of a certain intensity of noises and external incentives. In this paper, the phenomenon of stochastic resonance in a FitzHugh-Nagumo neural (FHN) model is studied. For the case that the frequency of the HF signal is much higher than that of the LF signal, under the adiabatic approximation condition, the expression of the signal-to-noise ratio (SNR) with respect to the LF signal is obtained. It is shown that, the SNR is a non-monotonous function of the amplitude and frequency of the HF signal. In addition, the SNR varies non-monotonically with increasing the intensities of the multiplicative and additive noise, with increasing the delayed-time as well as increasing the system parameters of the FHN model. The influence of the correlation time of the colored multiplicative noise and the influence of the coupling strength between the multiplicative and additive noise on the SNR is discussed.

Effect of Time-Delay in a Time-Delayed Mono-Stable System Subject to White Noise and Dichotomous Noise

2012 ◽  
Vol 538-541 ◽  
pp. 2567-2570
Author(s):  
Fu Cheng Zhu ◽  
Feng Bao Li
Keyword(s):  
System Parameter ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Stable System ◽  
Static Force ◽  
Signal To Noise ◽  
Dichotomous Noise ◽  
Square Wave ◽  
Wave Signal ◽  
Delayed Time

The stochastic resonance (SR) for a time-delayed mono-stable system, driven by periodic square-wave signal, a dichotomous noise and a static force as well as multiplicative and additive noise is considered. It is found that the output signal-to-noise ratio (SNR) increases monotonically with the increase of the delayed time. The SNR varies non-monotonically with the intensities of the dichotomous noise and multiplicative and additive noise as well as the system parameter and the amplitude of the input square-wave signal.

scholarly journals Stochastic Resonance in Bistable Systems: The Effect of Simultaneous Additive and Multiplicative Correlated Noises

1998 ◽  
Vol 12 (28) ◽  
pp. 1195-1202 ◽  
Author(s):  
Claudio J. Tessone ◽  
Horacio S. Wio
Keyword(s):  
Stochastic Resonance ◽  
Noise Intensity ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Signal To Noise ◽  
Multiplicative Noises ◽  
Bistable Systems ◽  
Resonance Response ◽  
Correlated Noises

We analyze the effect of the simultaneous presence of correlated additive and multiplicative noises on the stochastic resonance response of a modulated bistable system. We find that when the correlation parameter is also modulated, the system's response, measured through the output signal-to-noise ratio, becomes largely independent of the additive noise intensity.

scholarly journals Damping Coefficient Induces Stochastic Multiresonance in Bistable System with Asymmetric Dichotomous Noise

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Juan Wu ◽  
Yong Xu
Keyword(s):  
Power Spectrum ◽  
Damping Coefficient ◽  
Bistable System ◽  
System Response ◽  
Asymmetric Distribution ◽  
Potential Wells ◽  
Dichotomous Noise ◽  
System Parameters ◽  
Asymmetric Dichotomous Noise ◽  
Averaged Power Spectrum

Stochastic resonance (SR) and stochastic multiresonance (SMR) phenomena as a function of the underdamping and overdamping coefficients in bistable system with asymmetric dichotomous noise are investigated numerically. By the efficient numerical simulation of the asymmetric dichotomous noise and the fourth-order Runge-Kutta algorithm, we calculate the system responses, the averaged power spectrum, and the signal-noise-ratio (SNR) that can be a measure of the existence of SR and SMR phenomenon. And the effects of damping coefficients on the three characteristics are analyzed. Firstly, it is found that the periodic asymmetric distribution of the particle’s hopping between two potential wells in the system response is gradually weakened as underdamping coefficient is increased to overdamping coefficient. And it also displays the periodic asymmetric distribution under the circumstance of overdamping coefficient. Then the averaged power spectrum exhibits multiple sharp peaks, and the highest peak increases and decreases for underdamping coefficient which is added to overdamping coefficient. Finally, SNR versus the damping coefficient for the system parameters and the noise parameters are acquired and they show multiple peaks and valleys, which illustrates the obvious SMR phenomena in bistable system with asymmetric dichotomous noise.

Role of Time Delay and Noise Color in Bistable System with Dichotomous Noise

2011 ◽  
Vol 295-297 ◽  
pp. 2147-2150
Author(s):  
Xiao Feng Cheng ◽  
Feng Guo ◽  
Xiao Dong Yuan ◽  
Shao Bo He
Keyword(s):  
Time Delay ◽  
Colored Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Limit Condition ◽  
Dichotomous Noise ◽  
Small Delay ◽  
Delayed Time ◽  
Asymmetric Dichotomous Noise

The effect of time delay and noise color in a time-delayed bistable system subject to asymmetric dichotomous noise and colored noise as well as to square-wave signal is studied. Applying small delay-time approximation, under the adiabatic limit condition, we obtain the expression of the signal-to-noise ratio (SNR) of the system. By virtue of the SNR expression, we find that, the SNR varies non-monotonously with the delayed-time and the correlation of the colored noise. Moreover, the SNR exhibits SR behavior as a function of the strength of the colored noise

scholarly journals The influence of the signal-to-noise ratio upon radio occultation inversion quality

2020 ◽  
Author(s):  
Michael Gorbunov
Keyword(s):  
White Noise ◽  
Radio Occultation ◽  
Signal To Noise Ratio ◽  
Observation Data ◽  
Signal To Noise ◽  
Weather Forecasts ◽  
Additive White Noise ◽  
Medium Range ◽  
Noise Ratio ◽  
Reference Fields

Abstract. In this paper, we investigate the influence of the signal-to-noise ratio (SNR) upon the radio occultation (RO) retrieval quality. We perform two series of numerical simulations: (1) with artificial RO data and, (2) with real COSMIC observations. We superimpose the simulated white noise with varying magnitudes upon both types of the observation data and evaluate the response in the statistics. The statistics use the reference fields of the analyses of European Centre for Medium-Range Weather Forecasts (ECMWF). Our simulations indicate that the effect of additive white noise has a threshold character: the influence of the noise is very low up to some threshold, but when the threshold is exceeded, the influence increases dramatically. Another conclusion is that, given RO observations of fair quality, the enhancement of the SNR cannot be expected to provide significant improvement in retrieval quality.

Stochastic resonance in tristable system induced by dichotomous noise

2016 ◽  
Vol 30 (31) ◽  
pp. 1650377 ◽  
Author(s):  
Peiming Shi ◽  
Xiao Su ◽  
Dongying Han
Keyword(s):  
Stochastic Resonance ◽  
Signal To Noise Ratio ◽  
Signal Amplitude ◽  
Periodic Signal ◽  
Signal To Noise ◽  
Dichotomous Noise ◽  
System Parameters ◽  
The Mean ◽  
Selection Of ◽  
Reliable Basis

Stochastic resonance (SR) of a tristable system driven by dichotomous noise (DN) is investigated firstly by the mean signal-to-noise ratio gain (SNR-GM). Utilizing an efficiently numerical algorithm, we acquire the asymmetric DN accurately. Then the system responses and the SNR-GM as the signatures of the stochastic resonance are calculated by the fourth-order Runge–Kutta algorithm. It is founded that the change of system parameters [Formula: see text] and [Formula: see text] in a certain range can induce SR phenomenon. Moreover, with the increase of parameter [Formula: see text], the amplitude of SNR-GM increases and shows the trend of moving to the left. For the different state values of the symmetric DN, the SNR-GM will increase with the increase of state value [Formula: see text] and [Formula: see text] but only a highest peak and the interval of SR shift to the left. However, with the increase of forcing frequency, the SNR-GM decreases and the interval of SR moves to right. In addition to, the highest peak of SNR-GM will decrease with the increase of periodic signal amplitude. These results provide a reliable basis for how to realize the parameter selection of stochastic resonance in tristable system driven by DN.

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