Concept, analysis, and demonstration of a novel delay network exhibiting stochastic resonance induced by external noise

Tadokoro, Yukihiro; Kasai, Seiya; Ichiki, Akihisa

doi:10.1016/j.dsp.2014.10.008

Cited by 8 publications

(6 citation statements)

References 47 publications

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“…Several methods of enhancing the effect of SR have been proposed [25][26][27][28]. One impressive method is the parallel network of bistable excitable units proposed by Collins et al [25]; when the network consists of a large number of nonlinear devices, the shape of sub-threshold signals can be fully recovered at the network output.…”

Section: Introductionmentioning

confidence: 99%

“…A notable point about this method is that this advantage can be obtained without tuning the noise intensity. The effectiveness of this interesting method in the detection of sub-threshold signals has been numerically evaluated [26,27]. Such an advantage has been found in various fields, including biological systems [25,29] and nano-devices [13,14].…”

Section: Introductionmentioning

confidence: 99%

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Enhancing a BPSK receiver by employing a practical parallel network with Stochastic resonance

Tadokoro

Tanaka

Nakashima

et al. 2019

NOLTA

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Stochastic resonance (SR) is a noise-enhancement phenomenon that enables the detection of sub-threshold signals by adding noise and using nonlinear systems. This paper explores the applicability of SR in a BPSK receiver with sub-threshold signals. Although received signals are amplified as a result of the nonlinear behavior of the receiver, they are somewhat distorted. This results in the lower performance of SR receivers in comparison with linear receivers. Employing a parallel network of SR systems is expected to solve this problem. The present theoretical analysis demonstrates that in a certain noise intensity range, the output of the network can fully describe an input sub-threshold signal, and hence, the performance close to that of the linear receivers can be obtained. The effectiveness of the SR receiver was also demonstrated through a numerical example of the bit error rate (BER). However, achieving good BER performance requires an infinite number of arrayed SR systems, which is not realistic in practical systems. A design framework for an SR network with a finite number of elements and an appropriate noise intensity that can realize BER performance close to that in linear systems is also provided.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Enhancing a BPSK receiver by employing a practical parallel network with Stochastic resonance

Tadokoro

Tanaka

Nakashima

et al. 2019

NOLTA

Self Cite

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“…Actually, because of the presence of random perturbation, the response of the system is a stochastic process and its dynamics can be easily affected by internal or external noise [Horsthemke & Lefever, 1984;Anishchenko et al, 2007;Tadokoro et al, 2015;Pisarchik & Martínez-Zérega, 2013]. For example, the notable monograph written by Arnold in the year 1998, which gives a preliminary introduction to the research on stochastic systems from the mathematics point of view, such as the effects of noise on the stability properties and the dynamical behaviors of the systems [Arnold, 1998].…”

Section: Introductionmentioning

confidence: 99%

“…Within these studies, people come to realize that noise has important impacts on the global structure of the attractors in phase plane, depending on the statistical characteristics of noise, like noise intensity, correlation time. Additionally, the performance of the system can be controlled by noise [Tadokoro et al, 2015].…”

Section: Introductionmentioning

confidence: 99%

Bifurcations Induced in a Bistable Oscillator via Joint Noises and Time Delay

Sun

Xiao

et al. 2016

Int. J. Bifurcation Chaos

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In this paper, noise-induced and delay-induced bifurcations in a bistable Duffing-van der Pol (DVP) oscillator under time delay and joint noises are discussed theoretically and numerically. Based on the qualitative changes of the plane phase, delay-induced bifurcations are investigated in the deterministic case. However, in the stochastic case, the response of the system is a stochastic non-Markovian process owing to the existence of noise and time delay. Then, methods have been employed to derive the stationary probability density function (PDF) of the amplitude of the response. Accordingly, stochastic P-bifurcations can be observed with the variations in the qualitative behavior of the stationary PDF for amplitude. Furthermore, results from both theoretical analyses and numerical simulations best demonstrate the appearance of noise-induced and delay-induced bifurcations, which are in good agreement.

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“…Stochastic Resonance (SR) refers to a phenomenon with using part of noise signal energy (Tadokoro et al, 2015;Li and Zhou, 2012;Mirandola et al, 2016;Yang et al, 2015). The SR phenomenon is widely used in fields such as weak signal detection (He and Wang, 2012;Zhang et al, 2012), medical (Jha and Chouhan, 2014), biology (Benzi, 2007), chemistry (Gammaitoni et al, 2009;Popoola et al, 2015), image information recovery (Yang et al, 2012) and so on.…”

Section: Introductionmentioning

confidence: 99%

Logic Stochastic Resonance Induced by a Fractional Bistable System under alpha-stable Noise

2016

Revista de la Facultad de Ingeniería

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The logic stochastic resonance (LSR) phenomenon induced in a double well nonlinear system that is described by an over-damped fractional Langevin equation with -stable noise is investigated in this paper. Using the probability of the correct logic output to measure the influence of -stable noise on the LSR phenomenon, we explore the functions of fractional order m, characteristic exponent , skewness parameter  in inducing LSR phenomenon. The results show that by adjusting the order of the system LSR phenomenon can be induced, in a suitable range of the noise; fractional order m, characteristic exponent  and skewness parameter  have function in inducing LSR phenomenon. These studies will be contributed to select reasonable parameters in the applications of fractional order logic stochastic resonance, and lay the foundation for a chip manufacturing application based on the principle of LSR phenomenon.

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Concept, analysis, and demonstration of a novel delay network exhibiting stochastic resonance induced by external noise

Cited by 8 publications

References 47 publications

Enhancing a BPSK receiver by employing a practical parallel network with Stochastic resonance

Enhancing a BPSK receiver by employing a practical parallel network with Stochastic resonance

Bifurcations Induced in a Bistable Oscillator via Joint Noises and Time Delay

Logic Stochastic Resonance Induced by a Fractional Bistable System under alpha-stable Noise

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