Fisher information as a metric of locally optimal processing and stochastic resonance.

The origins of Fisher information are in its use as a performance measure for parametric estimation. We augment this and show that the Fisher information can characterize the performance in several other significant signal processing operations. For processing of a weak signal in additive white nois...

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Autores principales:	Fabing Duan, François Chapeau-Blondeau, Derek Abbott
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2012
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/f61edc9f7a3c4f07a8c1e1e1001a8b6d
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spelling	oai:doaj.org-article:f61edc9f7a3c4f07a8c1e1e1001a8b6d2021-11-18T07:23:02ZFisher information as a metric of locally optimal processing and stochastic resonance.1932-620310.1371/journal.pone.0034282https://doaj.org/article/f61edc9f7a3c4f07a8c1e1e1001a8b6d2012-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/22493686/?tool=EBIhttps://doaj.org/toc/1932-6203The origins of Fisher information are in its use as a performance measure for parametric estimation. We augment this and show that the Fisher information can characterize the performance in several other significant signal processing operations. For processing of a weak signal in additive white noise, we demonstrate that the Fisher information determines (i) the maximum output signal-to-noise ratio for a periodic signal; (ii) the optimum asymptotic efficacy for signal detection; (iii) the best cross-correlation coefficient for signal transmission; and (iv) the minimum mean square error of an unbiased estimator. This unifying picture, via inequalities on the Fisher information, is used to establish conditions where improvement by noise through stochastic resonance is feasible or not.Fabing DuanFrançois Chapeau-BlondeauDerek AbbottPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 7, Iss 4, p e34282 (2012)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Fabing Duan François Chapeau-Blondeau Derek Abbott Fisher information as a metric of locally optimal processing and stochastic resonance.
description	The origins of Fisher information are in its use as a performance measure for parametric estimation. We augment this and show that the Fisher information can characterize the performance in several other significant signal processing operations. For processing of a weak signal in additive white noise, we demonstrate that the Fisher information determines (i) the maximum output signal-to-noise ratio for a periodic signal; (ii) the optimum asymptotic efficacy for signal detection; (iii) the best cross-correlation coefficient for signal transmission; and (iv) the minimum mean square error of an unbiased estimator. This unifying picture, via inequalities on the Fisher information, is used to establish conditions where improvement by noise through stochastic resonance is feasible or not.
format	article
author	Fabing Duan François Chapeau-Blondeau Derek Abbott
author_facet	Fabing Duan François Chapeau-Blondeau Derek Abbott
author_sort	Fabing Duan
title	Fisher information as a metric of locally optimal processing and stochastic resonance.
title_short	Fisher information as a metric of locally optimal processing and stochastic resonance.
title_full	Fisher information as a metric of locally optimal processing and stochastic resonance.
title_fullStr	Fisher information as a metric of locally optimal processing and stochastic resonance.
title_full_unstemmed	Fisher information as a metric of locally optimal processing and stochastic resonance.
title_sort	fisher information as a metric of locally optimal processing and stochastic resonance.
publisher	Public Library of Science (PLoS)
publishDate	2012
url	https://doaj.org/article/f61edc9f7a3c4f07a8c1e1e1001a8b6d
work_keys_str_mv	AT fabingduan fisherinformationasametricoflocallyoptimalprocessingandstochasticresonance AT francoischapeaublondeau fisherinformationasametricoflocallyoptimalprocessingandstochasticresonance AT derekabbott fisherinformationasametricoflocallyoptimalprocessingandstochasticresonance
_version_	1718423572752367616

Fisher information as a metric of locally optimal processing and stochastic resonance.

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