Stochastic resonance in an optical bistable system driven by colored noise

Misono, Masatoshi; Kohmoto, T.; Fukuda, Yukio; Kunitomo, M.

doi:10.1016/s0030-4018(98)00178-3

Cited by 25 publications

(12 citation statements)

References 23 publications

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“…The stochastic resonator, in this paper, is a form of an overdamped Brownian motion in the symmetric quartic bistable potential [20,21,22,23,24]. It is modelled as a feedback system in which the forward loop consists of an arbitrary amplifier with gain M followed by an integrator as shown in Fig.…”

Section: The Stochastic Resonatormentioning

confidence: 99%

Stochastic resonator to detect bipolar binary pulse amplitude modulated signals; analysis, parameter‐induced SR designs and sine‐induced SR

Gunes¹,

Higgins

Leeson³

2016

IET signal process.

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A Stochastic Resonator has been considered as an alternative signal processing tool because of its noise-induced performance enhancement ability. Here, the resonator parameters, steady states and transition time of the system are redefined for BPAM signals such that the region in which the resonator benefits from noise can be identified. Simple parameter-induced stochastic resonance (PSR) designs are then built, based on this analysis in order to configure the resonator in the optimum region. Furthermore, Sine-induced SR based on using a periodic signal instead of noise is introduced to enhance the system performance and compared with noise-enhanced SR (NSR). It is shown that Sine-induced SR provides a performance enhancement as it needs less power and does not require an adjustment relevant to the background noise. The results indicate that a resonator improves the receiver performance by eliminating noise if its parameters and BPAM characteristics are set accurately as given in the PSR designs, otherwise the resonator can benefit from either a noise as in NSR, or a sine wave as proposed.

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Section: The Stochastic Resonatormentioning

confidence: 99%

Stochastic resonator to detect bipolar binary pulse amplitude modulated signals; analysis, parameter‐induced SR designs and sine‐induced SR

Gunes¹,

Higgins

Leeson³

2016

IET signal process.

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“…According to the optical bistable systems, various physical processes have their differences. [19][20][21][22]29 Here, we investigate the optical bistability occurs in the ring cavity with a photorefractive two-wave mixer as shown schematically in Fig. 1.…”

Section: Theory Model Of Stochastic Resonance In Optical Bistabilitymentioning

confidence: 99%

“…Especially, with the in-depth study of the SR, a general method is gradually formed for the application of SR to practical situations, such as the signals processing in radar systems, nonlinear communications systems, medical image processing systems and optical systems. [16][17][18] A number of variations of the basic notion of SR [19][20][21][22]29 have been investigated using both mathematical analysis and simulations. 23,24 Signals can be identified from noisy background not only by adding noise but also by tuning system parameters through the nonlinear dynamic process of SR.…”

Section: Introductionmentioning

confidence: 99%

Aperiodic signals processing via parameter-tuning stochastic resonance in a photorefractive ring cavity

Cao

Liu

2014

AIP Advances

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Based on solving numerically the generalized nonlinear Langevin equation describing the nonlinear dynamics of stochastic resonance by Fourth-order Runge-Kutta method, an aperiodic stochastic resonance based on an optical bistable system is numerically investigated. The numerical results show that a parameter-tuning stochastic resonance system can be realized by choosing the appropriate optical bistable parameters, which performs well in reconstructing aperiodic signals from a very high level of noise background. The influences of optical bistable parameters on the stochastic resonance effect are numerically analyzed via cross-correlation, and a maximum cross-correlation gain of 8 is obtained by optimizing optical bistable parameters. This provides a prospective method for reconstructing noise-hidden weak signals in all-optical signal processing systems.

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“…(17) is then zero, and therefore the right-hand side of Eqs. (15) and (16) is 1/2, and this without any restrictive condition on the density p φ (·) or the correlation duration τ c .…”

Section: Model Of the Wave And Its Intensitymentioning

confidence: 99%

“…Stochastic resonance designates situations where an increase in the level of noise is capable of producing an improvement of some measure of performance associated to definite signal or information processing tasks [9][10][11]. Stochastic resonance has been observed in various processes, including electronic circuits and neuronal systems; examples of stochastic resonance in optics are given in [12][13][14][15][16][17][18][19][20]. The possibility of improving the coherence of a light wave through an increase in the disorder of its randomly fluctuating phase, as reported here, could represent a new direction to investigate novel forms of stochastic resonance.…”

Section: Introductionmentioning

confidence: 99%

Optical Coherence of a Scalar Wave Influenced by First-Order and Second-Order Statistics of Its Random Phase

et al. 2008

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We analyze a simple model of a scalar optical wave with partial coherence. The model is devised to describe the influence on the coherence of the wave, of the statistical properties of its random phase, including both the second-order statistics (phase correlation) -which is classic, but also the first-order statistics (phase distribution) -which is nonclassic. Expectedly, upon increasing the disorder of the fluctuating phase through a reduction of its correlation duration, the model shows that the coherence of the wave is always reduced. By contrast, upon increasing the disorder of the fluctuating phase through an increase of its dispersion, the model reveals that the coherence of the wave can sometimes be enhanced. This beneficial consequence of an increase in disorder is related to the phenomenon of stochastic resonance or improvement by noise in signal processing.

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Stochastic resonance in an optical bistable system driven by colored noise

Cited by 25 publications

References 23 publications

Stochastic resonator to detect bipolar binary pulse amplitude modulated signals; analysis, parameter‐induced SR designs and sine‐induced SR

Stochastic resonator to detect bipolar binary pulse amplitude modulated signals; analysis, parameter‐induced SR designs and sine‐induced SR

Aperiodic signals processing via parameter-tuning stochastic resonance in a photorefractive ring cavity

Optical Coherence of a Scalar Wave Influenced by First-Order and Second-Order Statistics of Its Random Phase

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