Weak-periodic stochastic resonance in a parallel array of static nonlinearities.

This paper studies the output-input signal-to-noise ratio (SNR) gain of an uncoupled parallel array of static, yet arbitrary, nonlinear elements for transmitting a weak periodic signal in additive white noise. In the small-signal limit, an explicit expression for the SNR gain is derived. It serves t...

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Autores principales:	Yumei Ma, Fabing Duan, François Chapeau-Blondeau, Derek Abbott
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2013
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/0a6851d2286e40ccacf03f19d211a94c
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spelling	oai:doaj.org-article:0a6851d2286e40ccacf03f19d211a94c2021-11-18T07:54:03ZWeak-periodic stochastic resonance in a parallel array of static nonlinearities.1932-620310.1371/journal.pone.0058507https://doaj.org/article/0a6851d2286e40ccacf03f19d211a94c2013-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/23505523/?tool=EBIhttps://doaj.org/toc/1932-6203This paper studies the output-input signal-to-noise ratio (SNR) gain of an uncoupled parallel array of static, yet arbitrary, nonlinear elements for transmitting a weak periodic signal in additive white noise. In the small-signal limit, an explicit expression for the SNR gain is derived. It serves to prove that the SNR gain is always a monotonically increasing function of the array size for any given nonlinearity and noisy environment. It also determines the SNR gain maximized by the locally optimal nonlinearity as the upper bound of the SNR gain achieved by an array of static nonlinear elements. With locally optimal nonlinearity, it is demonstrated that stochastic resonance cannot occur, i.e. adding internal noise into the array never improves the SNR gain. However, in an array of suboptimal but easily implemented threshold nonlinearities, we show the feasibility of situations where stochastic resonance occurs, and also the possibility of the SNR gain exceeding unity for a wide range of input noise distributions.Yumei MaFabing DuanFrançois Chapeau-BlondeauDerek AbbottPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 8, Iss 3, p e58507 (2013)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yumei Ma Fabing Duan François Chapeau-Blondeau Derek Abbott Weak-periodic stochastic resonance in a parallel array of static nonlinearities.
description	This paper studies the output-input signal-to-noise ratio (SNR) gain of an uncoupled parallel array of static, yet arbitrary, nonlinear elements for transmitting a weak periodic signal in additive white noise. In the small-signal limit, an explicit expression for the SNR gain is derived. It serves to prove that the SNR gain is always a monotonically increasing function of the array size for any given nonlinearity and noisy environment. It also determines the SNR gain maximized by the locally optimal nonlinearity as the upper bound of the SNR gain achieved by an array of static nonlinear elements. With locally optimal nonlinearity, it is demonstrated that stochastic resonance cannot occur, i.e. adding internal noise into the array never improves the SNR gain. However, in an array of suboptimal but easily implemented threshold nonlinearities, we show the feasibility of situations where stochastic resonance occurs, and also the possibility of the SNR gain exceeding unity for a wide range of input noise distributions.
format	article
author	Yumei Ma Fabing Duan François Chapeau-Blondeau Derek Abbott
author_facet	Yumei Ma Fabing Duan François Chapeau-Blondeau Derek Abbott
author_sort	Yumei Ma
title	Weak-periodic stochastic resonance in a parallel array of static nonlinearities.
title_short	Weak-periodic stochastic resonance in a parallel array of static nonlinearities.
title_full	Weak-periodic stochastic resonance in a parallel array of static nonlinearities.
title_fullStr	Weak-periodic stochastic resonance in a parallel array of static nonlinearities.
title_full_unstemmed	Weak-periodic stochastic resonance in a parallel array of static nonlinearities.
title_sort	weak-periodic stochastic resonance in a parallel array of static nonlinearities.
publisher	Public Library of Science (PLoS)
publishDate	2013
url	https://doaj.org/article/0a6851d2286e40ccacf03f19d211a94c
work_keys_str_mv	AT yumeima weakperiodicstochasticresonanceinaparallelarrayofstaticnonlinearities AT fabingduan weakperiodicstochasticresonanceinaparallelarrayofstaticnonlinearities AT francoischapeaublondeau weakperiodicstochasticresonanceinaparallelarrayofstaticnonlinearities AT derekabbott weakperiodicstochasticresonanceinaparallelarrayofstaticnonlinearities
_version_	1718422770775228416

Weak-periodic stochastic resonance in a parallel array of static nonlinearities.

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